%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV108^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n026.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 : 300s
% DateTime : Wed Feb 25 09:40:18 AM UTC 2026
% Result : Theorem 69.55s 11.07s
% Output : Refutation 69.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 75
% Syntax : Number of formulae : 1125 ( 92 unt; 0 typ; 74 def)
% Number of atoms : 11886 (3117 equ; 0 cnn)
% Maximal formula atoms : 18 ( 10 avg)
% Number of connectives : 9668 (2551 ~;3215 |; 630 &;2962 @)
% ( 74 <=>; 55 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 87 ( 82 usr; 84 con; 0-2 aty)
% ( 121 !!; 60 ??; 0 @@+; 0 @@-)
% Number of variables : 518 ( 193 ^; 316 !; 9 ?; 518 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_20,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_22,type,
sK3: $i > $i > $o ).
thf(f9476,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f230,f295,f446,f681,f691,f692,f701,f727,f738,f739,f748,f749,f750,f972,f988,f989,f993,f996,f1019,f1125,f1188,f1208,f1385,f1454,f1466,f1481,f1527,f1531,f1643,f1852,f1963,f1967,f1971,f2048,f2061,f2084,f2119,f2209,f2854,f2864,f2874,f2882,f2891,f2903,f2909,f3017,f3099,f3117,f3183,f3206,f3218,f3265,f3458,f3485,f3515,f3538,f3549,f3610,f3612,f3634,f3779,f3891,f4059,f4070,f4076,f4098,f4111,f4132,f4465,f4535,f4547,f4580,f4590,f4613,f4620,f4636,f4644,f4677,f4686,f5011,f5015,f5086,f5676,f5738,f5748,f5758,f5762,f5977,f5979,f6011,f6196,f6211,f6215,f6221,f6241,f6245,f6292,f6295,f6304,f6320,f6326,f6347,f6389,f6393,f6838,f7101,f7113,f7117,f7121,f7246,f7304,f7341,f7405,f7408,f7420,f7459,f7466,f7474,f7668,f7699,f7706,f7720,f7753,f7778,f7782,f7808,f7946,f7954,f8153,f8169,f8173,f8385,f8396,f9469]) ).
thf(f9469,plain,
( ~ spl0_50
| ~ spl0_56
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[status(thm)],[f9468]) ).
thf(f9468,plain,
( $false
| ~ spl0_50
| ~ spl0_56
| ~ spl0_116 ),
inference(trivial_inequality_removal,[status(thm)],[f9467]) ).
thf(f9467,plain,
( ( $false = $true )
| ~ spl0_50
| ~ spl0_56
| ~ spl0_116 ),
inference(boolean_simplification,[status(thm)],[f9466]) ).
thf(f9466,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_50
| ~ spl0_56
| ~ spl0_116 ),
inference(forward_demodulation,[status(thm)],[f9465,f688]) ).
thf(f688,plain,
( ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ~ spl0_56 ),
inference(avatar_component_clause,[status(thm)],[f686]) ).
thf(f686,definition,
( spl0_56
<=> ( $false
= ( sK3 @ sK6 @ sK5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_56])],[avatar_definition]) ).
thf(f9465,plain,
( ( ( ~ ( sK3 @ sK6 @ sK5 ) )
= $false )
| ~ spl0_50
| ~ spl0_116 ),
inference(subsumption_resolution,[status(thm)],[f9464,f286]) ).
thf(f286,plain,
sK8 != sK5,
inference(equality_proxy_clausification,[status(thm)],[f281]) ).
thf(f281,plain,
( ( sK8 = sK5 )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f52]) ).
thf(f52,plain,
( ( sK8 != sK5 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f51]) ).
thf(f51,plain,
( ( ( sK7 != sK4 )
& ( sK8 != sK5 ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f49]) ).
thf(f49,plain,
( ( ( sK7 != sK4 )
& ( sK8 != sK5 )
& ( sK7 != sK6 ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f47]) ).
thf(f47,plain,
( ( ( sK7 != sK4 )
& ( sK8 != sK5 )
& ( sK7 != sK6 )
& ( sK7 != sK5 ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f45]) ).
thf(f45,plain,
( ( ( sK7 != sK4 )
& ( sK8 != sK5 )
& ( sK7 != sK6 )
& ( sK7 != sK5 )
& ( sK6 != sK5 ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f43]) ).
thf(f43,plain,
( ( ( sK7 != sK4 )
& ( sK8 != sK5 )
& ( sK7 != sK6 )
& ( sK7 != sK5 )
& ( sK6 != sK5 )
& ( sK8 != sK4 ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f41]) ).
thf(f41,plain,
( ( ( sK7 != sK4 )
& ( sK8 != sK5 )
& ( sK7 != sK6 )
& ( sK7 != sK5 )
& ( sK6 != sK5 )
& ( sK8 != sK4 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f39]) ).
thf(f39,plain,
( ( ( sK7 != sK4 )
& ( sK8 != sK5 )
& ( sK7 != sK6 )
& ( sK7 != sK5 )
& ( sK6 != sK5 )
& ( sK8 != sK4 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ Y0 @ Y1 ) ) ) )
& ( sK4 != sK2 ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f37]) ).
thf(f37,plain,
( ( ( sK7 != sK4 )
& ( sK8 != sK5 )
& ( sK7 != sK6 )
& ( sK7 != sK5 )
& ( sK6 != sK5 )
& ( sK8 != sK4 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ Y0 @ Y1 ) ) ) )
& ( sK4 != sK2 )
& ( sK8 != sK6 ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f35]) ).
thf(f35,plain,
( ( ( sK7 != sK4 )
& ( sK8 != sK5 )
& ( sK7 != sK6 )
& ( sK7 != sK5 )
& ( sK6 != sK5 )
& ( sK8 != sK4 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ Y0 @ Y1 ) ) ) )
& ( sK4 != sK2 )
& ( sK8 != sK6 )
& ( sK6 != sK2 ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f33]) ).
thf(f33,plain,
( ( ( sK7 != sK4 )
& ( sK8 != sK5 )
& ( sK7 != sK6 )
& ( sK7 != sK5 )
& ( sK6 != sK5 )
& ( sK8 != sK4 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ Y0 @ Y1 ) ) ) )
& ( sK4 != sK2 )
& ( sK8 != sK6 )
& ( sK6 != sK2 )
& ( sK8 != sK7 ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f31]) ).
thf(f31,plain,
( ( ( sK7 != sK4 )
& ( sK8 != sK5 )
& ( sK7 != sK6 )
& ( sK7 != sK5 )
& ( sK6 != sK5 )
& ( sK8 != sK4 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ Y0 @ Y1 ) ) ) )
& ( sK4 != sK2 )
& ( sK8 != sK6 )
& ( sK6 != sK2 )
& ( sK8 != sK7 )
& ( sK8 != sK2 ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f29]) ).
thf(f29,plain,
( ( ( sK7 != sK4 )
& ( sK8 != sK5 )
& ( sK7 != sK6 )
& ( sK7 != sK5 )
& ( sK6 != sK5 )
& ( sK8 != sK4 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ Y0 @ Y1 ) ) ) )
& ( sK4 != sK2 )
& ( sK8 != sK6 )
& ( sK6 != sK2 )
& ( sK8 != sK7 )
& ( sK8 != sK2 )
& ( sK5 != sK4 ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f27]) ).
thf(f27,plain,
( ( ( sK7 != sK4 )
& ( sK8 != sK5 )
& ( sK7 != sK6 )
& ( sK7 != sK5 )
& ( sK6 != sK5 )
& ( sK8 != sK4 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ Y0 @ Y1 ) ) ) )
& ( sK4 != sK2 )
& ( sK8 != sK6 )
& ( sK6 != sK2 )
& ( sK8 != sK7 )
& ( sK8 != sK2 )
& ( sK5 != sK4 )
& ( sK7 != sK2 ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f25]) ).
thf(f25,plain,
( ( ( sK7 != sK4 )
& ( sK8 != sK5 )
& ( sK7 != sK6 )
& ( sK7 != sK5 )
& ( sK6 != sK5 )
& ( sK8 != sK4 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ Y0 @ Y1 ) ) ) )
& ( sK4 != sK2 )
& ( sK8 != sK6 )
& ( sK6 != sK2 )
& ( sK8 != sK7 )
& ( sK8 != sK2 )
& ( sK5 != sK4 )
& ( sK7 != sK2 )
& ( sK5 != sK2 ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f23]) ).
thf(f23,plain,
( ( ( sK7 != sK4 )
& ( sK8 != sK5 )
& ( sK7 != sK6 )
& ( sK7 != sK5 )
& ( sK6 != sK5 )
& ( sK8 != sK4 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ Y0 @ Y1 ) ) ) )
& ( sK4 != sK2 )
& ( sK8 != sK6 )
& ( sK6 != sK2 )
& ( sK8 != sK7 )
& ( sK8 != sK2 )
& ( sK5 != sK4 )
& ( sK7 != sK2 )
& ( sK5 != sK2 )
& ( sK6 != sK4 ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f21]) ).
thf(f21,plain,
( ( ( ( sK7 != sK4 )
& ( sK8 != sK5 )
& ( sK7 != sK6 )
& ( sK7 != sK5 )
& ( sK6 != sK5 )
& ( sK8 != sK4 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ Y0 @ Y1 ) ) ) )
& ( sK4 != sK2 )
& ( sK8 != sK6 )
& ( sK6 != sK2 )
& ( sK8 != sK7 )
& ( sK8 != sK2 )
& ( sK5 != sK4 )
& ( sK7 != sK2 )
& ( sK5 != sK2 )
& ( sK6 != sK4 ) )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( ( ~ ( sK3 @ Y1 @ Y2 )
& ~ ( sK3 @ Y1 @ Y0 )
& ~ ( sK3 @ Y0 @ Y2 ) )
| ( ( sK3 @ Y1 @ Y0 )
& ( sK3 @ Y1 @ Y2 )
& ( sK3 @ Y0 @ Y2 ) ) )
& ( Y2 != Y1 )
& ( Y2 != Y0 )
& ( Y1 != Y0 ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f20]) ).
thf(f20,plain,
( ( ^ [Y0: $i] :
( ( ( sK7 != sK4 )
& ( Y0 != sK5 )
& ( sK7 != sK6 )
& ( sK7 != sK5 )
& ( sK6 != sK5 )
& ( Y0 != sK4 )
& ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( sK3 @ Y2 @ Y1 )
=> ( sK3 @ Y1 @ Y2 ) ) ) )
& ( sK4 != sK2 )
& ( Y0 != sK6 )
& ( sK6 != sK2 )
& ( Y0 != sK7 )
& ( Y0 != sK2 )
& ( sK5 != sK4 )
& ( sK7 != sK2 )
& ( sK5 != sK2 )
& ( sK6 != sK4 ) )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( ( ~ ( sK3 @ Y2 @ Y3 )
& ~ ( sK3 @ Y2 @ Y1 )
& ~ ( sK3 @ Y1 @ Y3 ) )
| ( ( sK3 @ Y2 @ Y1 )
& ( sK3 @ Y2 @ Y3 )
& ( sK3 @ Y1 @ Y3 ) ) )
& ( Y3 != Y2 )
& ( Y3 != Y1 )
& ( Y2 != Y1 ) ) ) ) ) )
@ sK8 )
= $false ),
inference(sigma_clausification,[status(thm)],[f19]) ).
thf(f19,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK7 != sK4 )
& ( Y0 != sK5 )
& ( sK7 != sK6 )
& ( sK7 != sK5 )
& ( sK6 != sK5 )
& ( Y0 != sK4 )
& ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( sK3 @ Y2 @ Y1 )
=> ( sK3 @ Y1 @ Y2 ) ) ) )
& ( sK4 != sK2 )
& ( Y0 != sK6 )
& ( sK6 != sK2 )
& ( Y0 != sK7 )
& ( Y0 != sK2 )
& ( sK5 != sK4 )
& ( sK7 != sK2 )
& ( sK5 != sK2 )
& ( sK6 != sK4 ) )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( ( ~ ( sK3 @ Y2 @ Y3 )
& ~ ( sK3 @ Y2 @ Y1 )
& ~ ( sK3 @ Y1 @ Y3 ) )
| ( ( sK3 @ Y2 @ Y1 )
& ( sK3 @ Y2 @ Y3 )
& ( sK3 @ Y1 @ Y3 ) ) )
& ( Y3 != Y2 )
& ( Y3 != Y1 )
& ( Y2 != Y1 ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f18]) ).
thf(f18,plain,
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( Y0 != sK4 )
& ( Y1 != sK5 )
& ( Y0 != sK6 )
& ( Y0 != sK5 )
& ( sK6 != sK5 )
& ( Y1 != sK4 )
& ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( sK3 @ Y3 @ Y2 )
=> ( sK3 @ Y2 @ Y3 ) ) ) )
& ( sK4 != sK2 )
& ( Y1 != sK6 )
& ( sK6 != sK2 )
& ( Y1 != Y0 )
& ( Y1 != sK2 )
& ( sK5 != sK4 )
& ( Y0 != sK2 )
& ( sK5 != sK2 )
& ( sK6 != sK4 ) )
=> ( ?? @ $i
@ ^ [Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( ( ~ ( sK3 @ Y3 @ Y4 )
& ~ ( sK3 @ Y3 @ Y2 )
& ~ ( sK3 @ Y2 @ Y4 ) )
| ( ( sK3 @ Y3 @ Y2 )
& ( sK3 @ Y3 @ Y4 )
& ( sK3 @ Y2 @ Y4 ) ) )
& ( Y4 != Y3 )
& ( Y4 != Y2 )
& ( Y3 != Y2 ) ) ) ) ) ) )
@ sK7 )
= $false ),
inference(sigma_clausification,[status(thm)],[f17]) ).
thf(f17,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( Y0 != sK4 )
& ( Y1 != sK5 )
& ( Y0 != sK6 )
& ( Y0 != sK5 )
& ( sK6 != sK5 )
& ( Y1 != sK4 )
& ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( sK3 @ Y3 @ Y2 )
=> ( sK3 @ Y2 @ Y3 ) ) ) )
& ( sK4 != sK2 )
& ( Y1 != sK6 )
& ( sK6 != sK2 )
& ( Y1 != Y0 )
& ( Y1 != sK2 )
& ( sK5 != sK4 )
& ( Y0 != sK2 )
& ( sK5 != sK2 )
& ( sK6 != sK4 ) )
=> ( ?? @ $i
@ ^ [Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( ( ~ ( sK3 @ Y3 @ Y4 )
& ~ ( sK3 @ Y3 @ Y2 )
& ~ ( sK3 @ Y2 @ Y4 ) )
| ( ( sK3 @ Y3 @ Y2 )
& ( sK3 @ Y3 @ Y4 )
& ( sK3 @ Y2 @ Y4 ) ) )
& ( Y4 != Y3 )
& ( Y4 != Y2 )
& ( Y3 != Y2 ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f16]) ).
thf(f16,plain,
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y1 != sK4 )
& ( Y2 != sK5 )
& ( Y1 != Y0 )
& ( Y1 != sK5 )
& ( Y0 != sK5 )
& ( Y2 != sK4 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( sK3 @ Y4 @ Y3 )
=> ( sK3 @ Y3 @ Y4 ) ) ) )
& ( sK4 != sK2 )
& ( Y2 != Y0 )
& ( Y0 != sK2 )
& ( Y2 != Y1 )
& ( Y2 != sK2 )
& ( sK5 != sK4 )
& ( Y1 != sK2 )
& ( sK5 != sK2 )
& ( Y0 != sK4 ) )
=> ( ?? @ $i
@ ^ [Y3: $i] :
( ?? @ $i
@ ^ [Y4: $i] :
( ?? @ $i
@ ^ [Y5: $i] :
( ( ( ~ ( sK3 @ Y4 @ Y5 )
& ~ ( sK3 @ Y4 @ Y3 )
& ~ ( sK3 @ Y3 @ Y5 ) )
| ( ( sK3 @ Y4 @ Y3 )
& ( sK3 @ Y4 @ Y5 )
& ( sK3 @ Y3 @ Y5 ) ) )
& ( Y5 != Y4 )
& ( Y5 != Y3 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
@ sK6 )
= $false ),
inference(sigma_clausification,[status(thm)],[f15]) ).
thf(f15,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y1 != sK4 )
& ( Y2 != sK5 )
& ( Y1 != Y0 )
& ( Y1 != sK5 )
& ( Y0 != sK5 )
& ( Y2 != sK4 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( sK3 @ Y4 @ Y3 )
=> ( sK3 @ Y3 @ Y4 ) ) ) )
& ( sK4 != sK2 )
& ( Y2 != Y0 )
& ( Y0 != sK2 )
& ( Y2 != Y1 )
& ( Y2 != sK2 )
& ( sK5 != sK4 )
& ( Y1 != sK2 )
& ( sK5 != sK2 )
& ( Y0 != sK4 ) )
=> ( ?? @ $i
@ ^ [Y3: $i] :
( ?? @ $i
@ ^ [Y4: $i] :
( ?? @ $i
@ ^ [Y5: $i] :
( ( ( ~ ( sK3 @ Y4 @ Y5 )
& ~ ( sK3 @ Y4 @ Y3 )
& ~ ( sK3 @ Y3 @ Y5 ) )
| ( ( sK3 @ Y4 @ Y3 )
& ( sK3 @ Y4 @ Y5 )
& ( sK3 @ Y3 @ Y5 ) ) )
& ( Y5 != Y4 )
& ( Y5 != Y3 )
& ( Y4 != Y3 ) ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f14]) ).
thf(f14,plain,
( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y2 != sK4 )
& ( Y3 != Y0 )
& ( Y2 != Y1 )
& ( Y2 != Y0 )
& ( Y1 != Y0 )
& ( Y3 != sK4 )
& ( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( sK3 @ Y5 @ Y4 )
=> ( sK3 @ Y4 @ Y5 ) ) ) )
& ( sK4 != sK2 )
& ( Y3 != Y1 )
& ( Y1 != sK2 )
& ( Y3 != Y2 )
& ( Y3 != sK2 )
& ( Y0 != sK4 )
& ( Y2 != sK2 )
& ( Y0 != sK2 )
& ( Y1 != sK4 ) )
=> ( ?? @ $i
@ ^ [Y4: $i] :
( ?? @ $i
@ ^ [Y5: $i] :
( ?? @ $i
@ ^ [Y6: $i] :
( ( ( ~ ( sK3 @ Y5 @ Y6 )
& ~ ( sK3 @ Y5 @ Y4 )
& ~ ( sK3 @ Y4 @ Y6 ) )
| ( ( sK3 @ Y5 @ Y4 )
& ( sK3 @ Y5 @ Y6 )
& ( sK3 @ Y4 @ Y6 ) ) )
& ( Y6 != Y5 )
& ( Y6 != Y4 )
& ( Y5 != Y4 ) ) ) ) ) ) ) ) )
@ sK5 ) ),
inference(sigma_clausification,[status(thm)],[f13]) ).
thf(f13,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y2 != sK4 )
& ( Y3 != Y0 )
& ( Y2 != Y1 )
& ( Y2 != Y0 )
& ( Y1 != Y0 )
& ( Y3 != sK4 )
& ( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( sK3 @ Y5 @ Y4 )
=> ( sK3 @ Y4 @ Y5 ) ) ) )
& ( sK4 != sK2 )
& ( Y3 != Y1 )
& ( Y1 != sK2 )
& ( Y3 != Y2 )
& ( Y3 != sK2 )
& ( Y0 != sK4 )
& ( Y2 != sK2 )
& ( Y0 != sK2 )
& ( Y1 != sK4 ) )
=> ( ?? @ $i
@ ^ [Y4: $i] :
( ?? @ $i
@ ^ [Y5: $i] :
( ?? @ $i
@ ^ [Y6: $i] :
( ( ( ~ ( sK3 @ Y5 @ Y6 )
& ~ ( sK3 @ Y5 @ Y4 )
& ~ ( sK3 @ Y4 @ Y6 ) )
| ( ( sK3 @ Y5 @ Y4 )
& ( sK3 @ Y5 @ Y6 )
& ( sK3 @ Y4 @ Y6 ) ) )
& ( Y6 != Y5 )
& ( Y6 != Y4 )
& ( Y5 != Y4 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f12]) ).
thf(f12,plain,
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( ( Y3 != Y0 )
& ( Y4 != Y1 )
& ( Y3 != Y2 )
& ( Y3 != Y1 )
& ( Y2 != Y1 )
& ( Y4 != Y0 )
& ( !! @ $i
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ( sK3 @ Y6 @ Y5 )
=> ( sK3 @ Y5 @ Y6 ) ) ) )
& ( Y0 != sK2 )
& ( Y4 != Y2 )
& ( Y2 != sK2 )
& ( Y4 != Y3 )
& ( Y4 != sK2 )
& ( Y1 != Y0 )
& ( Y3 != sK2 )
& ( Y1 != sK2 )
& ( Y2 != Y0 ) )
=> ( ?? @ $i
@ ^ [Y5: $i] :
( ?? @ $i
@ ^ [Y6: $i] :
( ?? @ $i
@ ^ [Y7: $i] :
( ( ( ~ ( sK3 @ Y6 @ Y7 )
& ~ ( sK3 @ Y6 @ Y5 )
& ~ ( sK3 @ Y5 @ Y7 ) )
| ( ( sK3 @ Y6 @ Y5 )
& ( sK3 @ Y6 @ Y7 )
& ( sK3 @ Y5 @ Y7 ) ) )
& ( Y7 != Y6 )
& ( Y7 != Y5 )
& ( Y6 != Y5 ) ) ) ) ) ) ) ) ) )
@ sK4 )
= $false ),
inference(sigma_clausification,[status(thm)],[f11]) ).
thf(f11,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( ( Y3 != Y0 )
& ( Y4 != Y1 )
& ( Y3 != Y2 )
& ( Y3 != Y1 )
& ( Y2 != Y1 )
& ( Y4 != Y0 )
& ( !! @ $i
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ( sK3 @ Y6 @ Y5 )
=> ( sK3 @ Y5 @ Y6 ) ) ) )
& ( Y0 != sK2 )
& ( Y4 != Y2 )
& ( Y2 != sK2 )
& ( Y4 != Y3 )
& ( Y4 != sK2 )
& ( Y1 != Y0 )
& ( Y3 != sK2 )
& ( Y1 != sK2 )
& ( Y2 != Y0 ) )
=> ( ?? @ $i
@ ^ [Y5: $i] :
( ?? @ $i
@ ^ [Y6: $i] :
( ?? @ $i
@ ^ [Y7: $i] :
( ( ( ~ ( sK3 @ Y6 @ Y7 )
& ~ ( sK3 @ Y6 @ Y5 )
& ~ ( sK3 @ Y5 @ Y7 ) )
| ( ( sK3 @ Y6 @ Y5 )
& ( sK3 @ Y6 @ Y7 )
& ( sK3 @ Y5 @ Y7 ) ) )
& ( Y7 != Y6 )
& ( Y7 != Y5 )
& ( Y6 != Y5 ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f10]) ).
thf(f10,plain,
( $false
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( ( Y4 != Y1 )
& ( Y5 != Y2 )
& ( Y4 != Y3 )
& ( Y4 != Y2 )
& ( Y3 != Y2 )
& ( Y5 != Y1 )
& ( !! @ $i
@ ^ [Y6: $i] :
( !! @ $i
@ ^ [Y7: $i] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y0 @ Y6 @ Y7 ) ) ) )
& ( Y1 != sK2 )
& ( Y5 != Y3 )
& ( Y3 != sK2 )
& ( Y5 != Y4 )
& ( Y5 != sK2 )
& ( Y2 != Y1 )
& ( Y4 != sK2 )
& ( Y2 != sK2 )
& ( Y3 != Y1 ) )
=> ( ?? @ $i
@ ^ [Y6: $i] :
( ?? @ $i
@ ^ [Y7: $i] :
( ?? @ $i
@ ^ [Y8: $i] :
( ( ( ~ ( Y0 @ Y7 @ Y8 )
& ~ ( Y0 @ Y7 @ Y6 )
& ~ ( Y0 @ Y6 @ Y8 ) )
| ( ( Y0 @ Y7 @ Y6 )
& ( Y0 @ Y7 @ Y8 )
& ( Y0 @ Y6 @ Y8 ) ) )
& ( Y8 != Y7 )
& ( Y8 != Y6 )
& ( Y7 != Y6 ) ) ) ) ) ) ) ) ) ) )
@ sK3 ) ),
inference(sigma_clausification,[status(thm)],[f9]) ).
thf(f9,plain,
( ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( ( Y4 != Y1 )
& ( Y5 != Y2 )
& ( Y4 != Y3 )
& ( Y4 != Y2 )
& ( Y3 != Y2 )
& ( Y5 != Y1 )
& ( !! @ $i
@ ^ [Y6: $i] :
( !! @ $i
@ ^ [Y7: $i] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y0 @ Y6 @ Y7 ) ) ) )
& ( Y1 != sK2 )
& ( Y5 != Y3 )
& ( Y3 != sK2 )
& ( Y5 != Y4 )
& ( Y5 != sK2 )
& ( Y2 != Y1 )
& ( Y4 != sK2 )
& ( Y2 != sK2 )
& ( Y3 != Y1 ) )
=> ( ?? @ $i
@ ^ [Y6: $i] :
( ?? @ $i
@ ^ [Y7: $i] :
( ?? @ $i
@ ^ [Y8: $i] :
( ( ( ~ ( Y0 @ Y7 @ Y8 )
& ~ ( Y0 @ Y7 @ Y6 )
& ~ ( Y0 @ Y6 @ Y8 ) )
| ( ( Y0 @ Y7 @ Y6 )
& ( Y0 @ Y7 @ Y8 )
& ( Y0 @ Y6 @ Y8 ) ) )
& ( Y8 != Y7 )
& ( Y8 != Y6 )
& ( Y7 != Y6 ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f8]) ).
thf(f8,plain,
( ( ^ [Y0: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ( ( Y5 != Y2 )
& ( Y6 != Y3 )
& ( Y5 != Y4 )
& ( Y5 != Y3 )
& ( Y4 != Y3 )
& ( Y6 != Y2 )
& ( !! @ $i
@ ^ [Y7: $i] :
( !! @ $i
@ ^ [Y8: $i] :
( ( Y1 @ Y8 @ Y7 )
=> ( Y1 @ Y7 @ Y8 ) ) ) )
& ( Y2 != Y0 )
& ( Y6 != Y4 )
& ( Y4 != Y0 )
& ( Y6 != Y5 )
& ( Y6 != Y0 )
& ( Y3 != Y2 )
& ( Y5 != Y0 )
& ( Y3 != Y0 )
& ( Y4 != Y2 ) )
=> ( ?? @ $i
@ ^ [Y7: $i] :
( ?? @ $i
@ ^ [Y8: $i] :
( ?? @ $i
@ ^ [Y9: $i] :
( ( ( ~ ( Y1 @ Y8 @ Y9 )
& ~ ( Y1 @ Y8 @ Y7 )
& ~ ( Y1 @ Y7 @ Y9 ) )
| ( ( Y1 @ Y8 @ Y7 )
& ( Y1 @ Y8 @ Y9 )
& ( Y1 @ Y7 @ Y9 ) ) )
& ( Y9 != Y8 )
& ( Y9 != Y7 )
& ( Y8 != Y7 ) ) ) ) ) ) ) ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ( ( Y5 != Y2 )
& ( Y6 != Y3 )
& ( Y5 != Y4 )
& ( Y5 != Y3 )
& ( Y4 != Y3 )
& ( Y6 != Y2 )
& ( !! @ $i
@ ^ [Y7: $i] :
( !! @ $i
@ ^ [Y8: $i] :
( ( Y1 @ Y8 @ Y7 )
=> ( Y1 @ Y7 @ Y8 ) ) ) )
& ( Y2 != Y0 )
& ( Y6 != Y4 )
& ( Y4 != Y0 )
& ( Y6 != Y5 )
& ( Y6 != Y0 )
& ( Y3 != Y2 )
& ( Y5 != Y0 )
& ( Y3 != Y0 )
& ( Y4 != Y2 ) )
=> ( ?? @ $i
@ ^ [Y7: $i] :
( ?? @ $i
@ ^ [Y8: $i] :
( ?? @ $i
@ ^ [Y9: $i] :
( ( ( ~ ( Y1 @ Y8 @ Y9 )
& ~ ( Y1 @ Y8 @ Y7 )
& ~ ( Y1 @ Y7 @ Y9 ) )
| ( ( Y1 @ Y8 @ Y7 )
& ( Y1 @ Y8 @ Y9 )
& ( Y1 @ Y7 @ Y9 ) ) )
& ( Y9 != Y8 )
& ( Y9 != Y7 )
& ( Y8 != Y7 ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f6]) ).
thf(f6,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ( ( Y5 != Y2 )
& ( Y6 != Y3 )
& ( Y5 != Y4 )
& ( Y5 != Y3 )
& ( Y4 != Y3 )
& ( Y6 != Y2 )
& ( !! @ $i
@ ^ [Y7: $i] :
( !! @ $i
@ ^ [Y8: $i] :
( ( Y1 @ Y8 @ Y7 )
=> ( Y1 @ Y7 @ Y8 ) ) ) )
& ( Y2 != Y0 )
& ( Y6 != Y4 )
& ( Y4 != Y0 )
& ( Y6 != Y5 )
& ( Y6 != Y0 )
& ( Y3 != Y2 )
& ( Y5 != Y0 )
& ( Y3 != Y0 )
& ( Y4 != Y2 ) )
=> ( ?? @ $i
@ ^ [Y7: $i] :
( ?? @ $i
@ ^ [Y8: $i] :
( ?? @ $i
@ ^ [Y9: $i] :
( ( ( ~ ( Y1 @ Y8 @ Y9 )
& ~ ( Y1 @ Y8 @ Y7 )
& ~ ( Y1 @ Y7 @ Y9 ) )
| ( ( Y1 @ Y8 @ Y7 )
& ( Y1 @ Y8 @ Y9 )
& ( Y1 @ Y7 @ Y9 ) ) )
& ( Y9 != Y8 )
& ( Y9 != Y7 )
& ( Y8 != Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ( ( Y5 != Y2 )
& ( Y6 != Y3 )
& ( Y5 != Y4 )
& ( Y5 != Y3 )
& ( Y4 != Y3 )
& ( Y6 != Y2 )
& ( !! @ $i
@ ^ [Y7: $i] :
( !! @ $i
@ ^ [Y8: $i] :
( ( Y1 @ Y8 @ Y7 )
=> ( Y1 @ Y7 @ Y8 ) ) ) )
& ( Y2 != Y0 )
& ( Y6 != Y4 )
& ( Y4 != Y0 )
& ( Y6 != Y5 )
& ( Y6 != Y0 )
& ( Y3 != Y2 )
& ( Y5 != Y0 )
& ( Y3 != Y0 )
& ( Y4 != Y2 ) )
=> ( ?? @ $i
@ ^ [Y7: $i] :
( ?? @ $i
@ ^ [Y8: $i] :
( ?? @ $i
@ ^ [Y9: $i] :
( ( ( ~ ( Y1 @ Y8 @ Y9 )
& ~ ( Y1 @ Y8 @ Y7 )
& ~ ( Y1 @ Y7 @ Y9 ) )
| ( ( Y1 @ Y8 @ Y7 )
& ( Y1 @ Y8 @ Y9 )
& ( Y1 @ Y7 @ Y9 ) ) )
& ( Y9 != Y8 )
& ( Y9 != Y7 )
& ( Y8 != Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i > $i > $o,X6: $i] :
( ( ( X2 != X4 )
& ( X3 != X6 )
& ( X1 != X6 )
& ( X3 != X4 )
& ( X0 != X6 )
& ( X0 != X1 )
& ( X2 != X6 )
& ( X0 != X2 )
& ( X4 != X6 )
& ! [X7: $i,X8: $i] :
( ( X5 @ X7 @ X8 )
=> ( X5 @ X8 @ X7 ) )
& ( X0 != X4 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X1 != X4 ) )
=> ? [X9: $i,X10: $i,X11: $i] :
( ( X10 != X11 )
& ( X9 != X11 )
& ( X9 != X10 )
& ( ( ( X5 @ X11 @ X9 )
& ( X5 @ X10 @ X9 )
& ( X5 @ X10 @ X11 ) )
| ( ~ ( X5 @ X11 @ X9 )
& ~ ( X5 @ X10 @ X11 )
& ~ ( X5 @ X10 @ X9 ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X2: $i,X1: $i,X3: $i,X4: $i,X6: $i,X0: $i > $i > $o,X5: $i] :
( ( ( X3 != X6 )
& ( X4 != X5 )
& ( X1 != X5 )
& ( X4 != X6 )
& ( X2 != X5 )
& ( X1 != X2 )
& ( X3 != X5 )
& ( X2 != X3 )
& ( X5 != X6 )
& ! [X7: $i,X8: $i] :
( ( X0 @ X7 @ X8 )
=> ( X0 @ X8 @ X7 ) )
& ( X2 != X6 )
& ( X3 != X4 )
& ( X1 != X4 )
& ( X1 != X3 )
& ( X2 != X4 )
& ( X1 != X6 ) )
=> ? [X11: $i,X9: $i,X10: $i] :
( ( X9 != X10 )
& ( X10 != X11 )
& ( X9 != X11 )
& ( ( ( X0 @ X10 @ X11 )
& ( X0 @ X9 @ X11 )
& ( X0 @ X9 @ X10 ) )
| ( ~ ( X0 @ X10 @ X11 )
& ~ ( X0 @ X9 @ X10 )
& ~ ( X0 @ X9 @ X11 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X2: $i,X1: $i,X3: $i,X4: $i,X6: $i,X0: $i > $i > $o,X5: $i] :
( ( ( X3 != X6 )
& ( X4 != X5 )
& ( X1 != X5 )
& ( X4 != X6 )
& ( X2 != X5 )
& ( X1 != X2 )
& ( X3 != X5 )
& ( X2 != X3 )
& ( X5 != X6 )
& ! [X7: $i,X8: $i] :
( ( X0 @ X7 @ X8 )
=> ( X0 @ X8 @ X7 ) )
& ( X2 != X6 )
& ( X3 != X4 )
& ( X1 != X4 )
& ( X1 != X3 )
& ( X2 != X4 )
& ( X1 != X6 ) )
=> ? [X11: $i,X9: $i,X10: $i] :
( ( X9 != X10 )
& ( X10 != X11 )
& ( X9 != X11 )
& ( ( ( X0 @ X10 @ X11 )
& ( X0 @ X9 @ X11 )
& ( X0 @ X9 @ X10 ) )
| ( ~ ( X0 @ X10 @ X11 )
& ~ ( X0 @ X9 @ X10 )
& ~ ( X0 @ X9 @ X11 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qkrIe4HSkE/DTF2THF_17357.p',cSIX_THEOREM_pme) ).
thf(f9464,plain,
( ( ( ~ ( sK3 @ sK6 @ sK5 ) )
= $false )
| ( sK8 = sK5 )
| ~ spl0_50
| ~ spl0_116 ),
inference(subsumption_resolution,[status(thm)],[f9452,f95]) ).
thf(f95,plain,
sK5 != sK6,
inference(equality_proxy_clausification,[status(thm)],[f94]) ).
thf(f94,plain,
( ( sK6 = sK5 )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f46]) ).
thf(f46,plain,
( ( sK6 != sK5 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f45]) ).
thf(f9452,plain,
( ( sK5 = sK6 )
| ( sK8 = sK5 )
| ( ( ~ ( sK3 @ sK6 @ sK5 ) )
= $false )
| ~ spl0_50
| ~ spl0_116 ),
inference(trivial_inequality_removal,[status(thm)],[f9451]) ).
thf(f9451,plain,
( ( sK8 = sK5 )
| ( ( ~ ( sK3 @ sK6 @ sK5 ) )
= $false )
| ( sK5 = sK6 )
| ( $false = $true )
| ~ spl0_50
| ~ spl0_116 ),
inference(boolean_simplification,[status(thm)],[f9428]) ).
thf(f9428,plain,
( ( ( ~ $false ) = $false )
| ( sK5 = sK6 )
| ( ( ~ ( sK3 @ sK6 @ sK5 ) )
= $false )
| ( sK8 = sK5 )
| ~ spl0_50
| ~ spl0_116 ),
inference(superposition,[status(thm)],[f3068,f662]) ).
thf(f662,plain,
( ( ( sK3 @ sK8 @ sK5 )
= $false )
| ~ spl0_50 ),
inference(avatar_component_clause,[status(thm)],[f660]) ).
thf(f660,definition,
( spl0_50
<=> ( ( sK3 @ sK8 @ sK5 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_50])],[avatar_definition]) ).
thf(f3068,plain,
( ! [X0: $i] :
( ( $false
= ( ~ ( sK3 @ sK8 @ X0 ) ) )
| ( sK8 = X0 )
| ( sK6 = X0 )
| ( ( ~ ( sK3 @ sK6 @ X0 ) )
= $false ) )
| ~ spl0_116 ),
inference(avatar_component_clause,[status(thm)],[f3067]) ).
thf(f3067,definition,
( spl0_116
<=> ! [X0: $i] :
( ( ( ~ ( sK3 @ sK6 @ X0 ) )
= $false )
| ( sK8 = X0 )
| ( $false
= ( ~ ( sK3 @ sK8 @ X0 ) ) )
| ( sK6 = X0 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_116])],[avatar_definition]) ).
thf(f8396,plain,
( spl0_58
| spl0_59
| ~ spl0_71 ),
inference(avatar_split_clause,[status(thm)],[f8395,f983,f703,f697]) ).
thf(f697,definition,
( spl0_58
<=> ( ( sK3 @ sK7 @ sK6 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_58])],[avatar_definition]) ).
thf(f703,definition,
( spl0_59
<=> ( $false
= ( sK3 @ sK7 @ sK4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_59])],[avatar_definition]) ).
thf(f983,definition,
( spl0_71
<=> ! [X0: $i] :
( ( sK6 = X0 )
| ( ( X0 != sK4 )
= $false )
| ( ( sK3 @ X0 @ sK6 )
= $false )
| ( ( sK3 @ X0 @ sK4 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_71])],[avatar_definition]) ).
thf(f8395,plain,
( ( $false
= ( sK3 @ sK7 @ sK4 ) )
| ( ( sK3 @ sK7 @ sK6 )
= $false )
| ~ spl0_71 ),
inference(subsumption_resolution,[status(thm)],[f7896,f279]) ).
thf(f279,plain,
sK6 != sK7,
inference(equality_proxy_clausification,[status(thm)],[f266]) ).
thf(f266,plain,
( ( sK7 = sK6 )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f50]) ).
thf(f50,plain,
( ( sK7 != sK6 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f49]) ).
thf(f7896,plain,
( ( sK6 = sK7 )
| ( $false
= ( sK3 @ sK7 @ sK4 ) )
| ( ( sK3 @ sK7 @ sK6 )
= $false )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[status(thm)],[f7889]) ).
thf(f7889,plain,
( ( sK6 = sK7 )
| ( $false = $true )
| ( ( sK3 @ sK7 @ sK6 )
= $false )
| ( $false
= ( sK3 @ sK7 @ sK4 ) )
| ~ spl0_71 ),
inference(superposition,[status(thm)],[f984,f53]) ).
thf(f53,plain,
( $true
= ( sK7 != sK4 ) ),
inference(binary_proxy_clausification,[status(thm)],[f51]) ).
thf(f984,plain,
( ! [X0: $i] :
( ( ( X0 != sK4 )
= $false )
| ( ( sK3 @ X0 @ sK4 )
= $false )
| ( ( sK3 @ X0 @ sK6 )
= $false )
| ( sK6 = X0 ) )
| ~ spl0_71 ),
inference(avatar_component_clause,[status(thm)],[f983]) ).
thf(f8385,plain,
( ~ spl0_9
| ~ spl0_28
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[status(thm)],[f8384]) ).
thf(f8384,plain,
( $false
| ~ spl0_9
| ~ spl0_28
| ~ spl0_91 ),
inference(trivial_inequality_removal,[status(thm)],[f8383]) ).
thf(f8383,plain,
( ( $false = $true )
| ~ spl0_9
| ~ spl0_28
| ~ spl0_91 ),
inference(forward_demodulation,[status(thm)],[f8382,f293]) ).
thf(f293,plain,
( ( ( sK3 @ sK5 @ sK8 )
= $false )
| ~ spl0_28 ),
inference(avatar_component_clause,[status(thm)],[f291]) ).
thf(f291,definition,
( spl0_28
<=> ( ( sK3 @ sK5 @ sK8 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_28])],[avatar_definition]) ).
thf(f8382,plain,
( ( ( sK3 @ sK5 @ sK8 )
= $true )
| ~ spl0_9
| ~ spl0_91 ),
inference(subsumption_resolution,[status(thm)],[f8381,f93]) ).
thf(f93,plain,
sK8 != sK4,
inference(equality_proxy_clausification,[status(thm)],[f92]) ).
thf(f92,plain,
( ( sK8 = sK4 )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f44]) ).
thf(f44,plain,
( ( sK8 != sK4 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f43]) ).
thf(f8381,plain,
( ( ( sK3 @ sK5 @ sK8 )
= $true )
| ( sK8 = sK4 )
| ~ spl0_9
| ~ spl0_91 ),
inference(subsumption_resolution,[status(thm)],[f8377,f286]) ).
thf(f8377,plain,
( ( sK8 = sK5 )
| ( ( sK3 @ sK5 @ sK8 )
= $true )
| ( sK8 = sK4 )
| ~ spl0_9
| ~ spl0_91 ),
inference(trivial_inequality_removal,[status(thm)],[f8376]) ).
thf(f8376,plain,
( ( ( sK3 @ sK5 @ sK8 )
= $true )
| ( sK8 = sK5 )
| ( sK8 = sK4 )
| ( $false = $true )
| ~ spl0_9
| ~ spl0_91 ),
inference(boolean_simplification,[status(thm)],[f8363]) ).
thf(f8363,plain,
( ( sK8 = sK4 )
| ( ( ~ $false ) = $false )
| ( sK8 = sK5 )
| ( ( sK3 @ sK5 @ sK8 )
= $true )
| ~ spl0_9
| ~ spl0_91 ),
inference(superposition,[status(thm)],[f8115,f187]) ).
thf(f187,plain,
( ( ( sK3 @ sK4 @ sK8 )
= $false )
| ~ spl0_9 ),
inference(avatar_component_clause,[status(thm)],[f185]) ).
thf(f185,definition,
( spl0_9
<=> ( ( sK3 @ sK4 @ sK8 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition]) ).
thf(f8115,plain,
( ! [X0: $i] :
( ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false )
| ( ( sK3 @ sK5 @ X0 )
= $true )
| ( sK5 = X0 )
| ( sK4 = X0 ) )
| ~ spl0_91 ),
inference(not_proxy_clausification,[status(thm)],[f1951]) ).
thf(f1951,plain,
( ! [X0: $i] :
( ( ( ~ ( sK3 @ sK5 @ X0 ) )
= $false )
| ( sK5 = X0 )
| ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false )
| ( sK4 = X0 ) )
| ~ spl0_91 ),
inference(avatar_component_clause,[status(thm)],[f1950]) ).
thf(f1950,definition,
( spl0_91
<=> ! [X0: $i] :
( ( sK4 = X0 )
| ( ( ~ ( sK3 @ sK5 @ X0 ) )
= $false )
| ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false )
| ( sK5 = X0 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_91])],[avatar_definition]) ).
thf(f8173,plain,
( spl0_21
| spl0_25
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[status(thm)],[f8172]) ).
thf(f8172,plain,
( $false
| spl0_21
| spl0_25
| ~ spl0_64 ),
inference(subsumption_resolution,[status(thm)],[f8171,f279]) ).
thf(f8171,plain,
( ( sK6 = sK7 )
| spl0_21
| spl0_25
| ~ spl0_64 ),
inference(subsumption_resolution,[status(thm)],[f8170,f273]) ).
thf(f273,plain,
( ( ( sK3 @ sK6 @ sK7 )
!= $false )
| spl0_25 ),
inference(avatar_component_clause,[status(thm)],[f272]) ).
thf(f272,definition,
( spl0_25
<=> ( ( sK3 @ sK6 @ sK7 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_25])],[avatar_definition]) ).
thf(f8170,plain,
( ( ( sK3 @ sK6 @ sK7 )
= $false )
| ( sK6 = sK7 )
| spl0_21
| ~ spl0_64 ),
inference(subsumption_resolution,[status(thm)],[f7982,f85]) ).
thf(f85,plain,
sK8 != sK7,
inference(equality_proxy_clausification,[status(thm)],[f84]) ).
thf(f84,plain,
( $false
= ( sK8 = sK7 ) ),
inference(not_proxy_clausification,[status(thm)],[f34]) ).
thf(f34,plain,
( ( sK8 != sK7 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f33]) ).
thf(f7982,plain,
( ( sK8 = sK7 )
| ( sK6 = sK7 )
| ( ( sK3 @ sK6 @ sK7 )
= $false )
| spl0_21
| ~ spl0_64 ),
inference(trivial_inequality_removal,[status(thm)],[f7972]) ).
thf(f7972,plain,
( ( sK6 = sK7 )
| ( $false = $true )
| ( ( sK3 @ sK6 @ sK7 )
= $false )
| ( sK8 = sK7 )
| spl0_21
| ~ spl0_64 ),
inference(superposition,[status(thm)],[f724,f7803]) ).
thf(f7803,plain,
( ( ( sK3 @ sK8 @ sK7 )
= $true )
| spl0_21 ),
inference(trivial_inequality_removal,[status(thm)],[f7802]) ).
thf(f7802,plain,
( ( $false != $false )
| ( ( sK3 @ sK8 @ sK7 )
= $true )
| spl0_21 ),
inference(superposition,[status(thm)],[f243,f58]) ).
thf(f58,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( sK3 @ X2 @ X1 ) )
| ( ( sK3 @ X1 @ X2 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f57]) ).
thf(f57,plain,
! [X2: $i,X1: $i] :
( ( ( sK3 @ X2 @ X1 )
=> ( sK3 @ X1 @ X2 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f56]) ).
thf(f56,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( sK3 @ Y0 @ X1 )
=> ( sK3 @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f55]) ).
thf(f55,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK3 @ Y0 @ X1 )
=> ( sK3 @ X1 @ Y0 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f54]) ).
thf(f54,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f42]) ).
thf(f42,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ Y0 @ Y1 ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f41]) ).
thf(f243,plain,
( ( ( sK3 @ sK7 @ sK8 )
!= $false )
| spl0_21 ),
inference(avatar_component_clause,[status(thm)],[f242]) ).
thf(f242,definition,
( spl0_21
<=> ( ( sK3 @ sK7 @ sK8 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_21])],[avatar_definition]) ).
thf(f724,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK8 @ X0 )
= $false )
| ( sK8 = X0 )
| ( ( sK3 @ sK6 @ X0 )
= $false )
| ( sK6 = X0 ) )
| ~ spl0_64 ),
inference(avatar_component_clause,[status(thm)],[f723]) ).
thf(f723,definition,
( spl0_64
<=> ! [X0: $i] :
( ( ( sK3 @ sK6 @ X0 )
= $false )
| ( sK6 = X0 )
| ( ( sK3 @ sK8 @ X0 )
= $false )
| ( sK8 = X0 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_64])],[avatar_definition]) ).
thf(f8169,plain,
( spl0_25
| spl0_62
| ~ spl0_64 ),
inference(avatar_split_clause,[status(thm)],[f8168,f723,f714,f272]) ).
thf(f714,definition,
( spl0_62
<=> ( $false
= ( sK3 @ sK8 @ sK7 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_62])],[avatar_definition]) ).
thf(f8168,plain,
( ( ( sK3 @ sK6 @ sK7 )
= $false )
| spl0_62
| ~ spl0_64 ),
inference(subsumption_resolution,[status(thm)],[f8167,f279]) ).
thf(f8167,plain,
( ( sK6 = sK7 )
| ( ( sK3 @ sK6 @ sK7 )
= $false )
| spl0_62
| ~ spl0_64 ),
inference(subsumption_resolution,[status(thm)],[f7979,f85]) ).
thf(f7979,plain,
( ( sK8 = sK7 )
| ( sK6 = sK7 )
| ( ( sK3 @ sK6 @ sK7 )
= $false )
| spl0_62
| ~ spl0_64 ),
inference(trivial_inequality_removal,[status(thm)],[f7978]) ).
thf(f7978,plain,
( ( sK6 = sK7 )
| ( $false != $false )
| ( ( sK3 @ sK6 @ sK7 )
= $false )
| ( sK8 = sK7 )
| spl0_62
| ~ spl0_64 ),
inference(superposition,[status(thm)],[f715,f724]) ).
thf(f715,plain,
( ( $false
!= ( sK3 @ sK8 @ sK7 ) )
| spl0_62 ),
inference(avatar_component_clause,[status(thm)],[f714]) ).
thf(f8153,plain,
( ~ spl0_23
| ~ spl0_30
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[status(thm)],[f8152]) ).
thf(f8152,plain,
( $false
| ~ spl0_23
| ~ spl0_30
| ~ spl0_91 ),
inference(trivial_inequality_removal,[status(thm)],[f8151]) ).
thf(f8151,plain,
( ( $false = $true )
| ~ spl0_23
| ~ spl0_30
| ~ spl0_91 ),
inference(boolean_simplification,[status(thm)],[f8150]) ).
thf(f8150,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_23
| ~ spl0_30
| ~ spl0_91 ),
inference(forward_demodulation,[status(thm)],[f8149,f307]) ).
thf(f307,plain,
( ( $false
= ( sK3 @ sK4 @ sK7 ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[status(thm)],[f305]) ).
thf(f305,definition,
( spl0_30
<=> ( $false
= ( sK3 @ sK4 @ sK7 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_30])],[avatar_definition]) ).
thf(f8149,plain,
( ( ( ~ ( sK3 @ sK4 @ sK7 ) )
= $false )
| ~ spl0_23
| ~ spl0_91 ),
inference(subsumption_resolution,[status(thm)],[f8148,f265]) ).
thf(f265,plain,
sK5 != sK7,
inference(equality_proxy_clausification,[status(thm)],[f251]) ).
thf(f251,plain,
( ( sK7 = sK5 )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f48]) ).
thf(f48,plain,
( ( sK7 != sK5 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f47]) ).
thf(f8148,plain,
( ( ( ~ ( sK3 @ sK4 @ sK7 ) )
= $false )
| ( sK5 = sK7 )
| ~ spl0_23
| ~ spl0_91 ),
inference(subsumption_resolution,[status(thm)],[f8126,f310]) ).
thf(f310,plain,
sK4 != sK7,
inference(equality_proxy_clausification,[status(thm)],[f296]) ).
thf(f296,plain,
( ( sK7 = sK4 )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f53]) ).
thf(f8126,plain,
( ( sK4 = sK7 )
| ( ( ~ ( sK3 @ sK4 @ sK7 ) )
= $false )
| ( sK5 = sK7 )
| ~ spl0_23
| ~ spl0_91 ),
inference(trivial_inequality_removal,[status(thm)],[f8125]) ).
thf(f8125,plain,
( ( $false = $true )
| ( ( ~ ( sK3 @ sK4 @ sK7 ) )
= $false )
| ( sK5 = sK7 )
| ( sK4 = sK7 )
| ~ spl0_23
| ~ spl0_91 ),
inference(boolean_simplification,[status(thm)],[f8120]) ).
thf(f8120,plain,
( ( sK4 = sK7 )
| ( ( ~ ( sK3 @ sK4 @ sK7 ) )
= $false )
| ( ( ~ $false ) = $false )
| ( sK5 = sK7 )
| ~ spl0_23
| ~ spl0_91 ),
inference(superposition,[status(thm)],[f1951,f259]) ).
thf(f259,plain,
( ( ( sK3 @ sK5 @ sK7 )
= $false )
| ~ spl0_23 ),
inference(avatar_component_clause,[status(thm)],[f257]) ).
thf(f257,definition,
( spl0_23
<=> ( ( sK3 @ sK5 @ sK7 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_23])],[avatar_definition]) ).
thf(f7954,plain,
( spl0_2
| spl0_31
| ~ spl0_51 ),
inference(avatar_contradiction_clause,[status(thm)],[f7953]) ).
thf(f7953,plain,
( $false
| spl0_2
| spl0_31
| ~ spl0_51 ),
inference(subsumption_resolution,[status(thm)],[f7952,f332]) ).
thf(f332,plain,
( ( ( sK3 @ sK4 @ sK2 )
!= $false )
| spl0_31 ),
inference(avatar_component_clause,[status(thm)],[f331]) ).
thf(f331,definition,
( spl0_31
<=> ( ( sK3 @ sK4 @ sK2 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_31])],[avatar_definition]) ).
thf(f7952,plain,
( ( ( sK3 @ sK4 @ sK2 )
= $false )
| spl0_2
| ~ spl0_51 ),
inference(subsumption_resolution,[status(thm)],[f7951,f91]) ).
thf(f91,plain,
sK4 != sK2,
inference(equality_proxy_clausification,[status(thm)],[f90]) ).
thf(f90,plain,
( ( sK4 = sK2 )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f40]) ).
thf(f40,plain,
( ( sK4 != sK2 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f39]) ).
thf(f7951,plain,
( ( sK4 = sK2 )
| ( ( sK3 @ sK4 @ sK2 )
= $false )
| spl0_2
| ~ spl0_51 ),
inference(subsumption_resolution,[status(thm)],[f7938,f77]) ).
thf(f77,plain,
sK5 != sK2,
inference(equality_proxy_clausification,[status(thm)],[f76]) ).
thf(f76,plain,
( ( sK5 = sK2 )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f26]) ).
thf(f26,plain,
( ( sK5 != sK2 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f25]) ).
thf(f7938,plain,
( ( sK5 = sK2 )
| ( ( sK3 @ sK4 @ sK2 )
= $false )
| ( sK4 = sK2 )
| spl0_2
| ~ spl0_51 ),
inference(trivial_inequality_removal,[status(thm)],[f7933]) ).
thf(f7933,plain,
( ( sK4 = sK2 )
| ( $false = $true )
| ( sK5 = sK2 )
| ( ( sK3 @ sK4 @ sK2 )
= $false )
| spl0_2
| ~ spl0_51 ),
inference(superposition,[status(thm)],[f7504,f666]) ).
thf(f666,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK5 @ X0 )
= $false )
| ( sK4 = X0 )
| ( sK5 = X0 )
| ( ( sK3 @ sK4 @ X0 )
= $false ) )
| ~ spl0_51 ),
inference(avatar_component_clause,[status(thm)],[f665]) ).
thf(f665,definition,
( spl0_51
<=> ! [X0: $i] :
( ( sK4 = X0 )
| ( ( sK3 @ sK5 @ X0 )
= $false )
| ( sK5 = X0 )
| ( ( sK3 @ sK4 @ X0 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_51])],[avatar_definition]) ).
thf(f7504,plain,
( ( ( sK3 @ sK5 @ sK2 )
= $true )
| spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f7503]) ).
thf(f7503,plain,
( ( $false != $false )
| ( ( sK3 @ sK5 @ sK2 )
= $true )
| spl0_2 ),
inference(superposition,[status(thm)],[f156,f58]) ).
thf(f156,plain,
( ( ( sK3 @ sK2 @ sK5 )
!= $false )
| spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f155]) ).
thf(f155,definition,
( spl0_2
<=> ( ( sK3 @ sK2 @ sK5 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
thf(f7946,plain,
( spl0_31
| spl0_45
| ~ spl0_51 ),
inference(avatar_contradiction_clause,[status(thm)],[f7945]) ).
thf(f7945,plain,
( $false
| spl0_31
| spl0_45
| ~ spl0_51 ),
inference(subsumption_resolution,[status(thm)],[f7944,f91]) ).
thf(f7944,plain,
( ( sK4 = sK2 )
| spl0_31
| spl0_45
| ~ spl0_51 ),
inference(subsumption_resolution,[status(thm)],[f7943,f77]) ).
thf(f7943,plain,
( ( sK5 = sK2 )
| ( sK4 = sK2 )
| spl0_31
| spl0_45
| ~ spl0_51 ),
inference(subsumption_resolution,[status(thm)],[f7942,f332]) ).
thf(f7942,plain,
( ( ( sK3 @ sK4 @ sK2 )
= $false )
| ( sK5 = sK2 )
| ( sK4 = sK2 )
| spl0_45
| ~ spl0_51 ),
inference(trivial_inequality_removal,[status(thm)],[f7934]) ).
thf(f7934,plain,
( ( sK5 = sK2 )
| ( sK4 = sK2 )
| ( $false != $false )
| ( ( sK3 @ sK4 @ sK2 )
= $false )
| spl0_45
| ~ spl0_51 ),
inference(superposition,[status(thm)],[f642,f666]) ).
thf(f642,plain,
( ( ( sK3 @ sK5 @ sK2 )
!= $false )
| spl0_45 ),
inference(avatar_component_clause,[status(thm)],[f641]) ).
thf(f641,definition,
( spl0_45
<=> ( ( sK3 @ sK5 @ sK2 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_45])],[avatar_definition]) ).
thf(f7808,plain,
( spl0_21
| spl0_84 ),
inference(avatar_contradiction_clause,[status(thm)],[f7807]) ).
thf(f7807,plain,
( $false
| spl0_21
| spl0_84 ),
inference(trivial_inequality_removal,[status(thm)],[f7806]) ).
thf(f7806,plain,
( ( $false != $false )
| spl0_21
| spl0_84 ),
inference(boolean_simplification,[status(thm)],[f7805]) ).
thf(f7805,plain,
( ( ( ~ $true ) != $false )
| spl0_21
| spl0_84 ),
inference(backward_demodulation,[status(thm)],[f1823,f7803]) ).
thf(f1823,plain,
( ( ( ~ ( sK3 @ sK8 @ sK7 ) )
!= $false )
| spl0_84 ),
inference(avatar_component_clause,[status(thm)],[f1822]) ).
thf(f1822,definition,
( spl0_84
<=> ( ( ~ ( sK3 @ sK8 @ sK7 ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_84])],[avatar_definition]) ).
thf(f7782,plain,
( spl0_129
| ~ spl0_68 ),
inference(avatar_split_clause,[status(thm)],[f7781,f744,f3247]) ).
thf(f3247,definition,
( spl0_129
<=> ! [X0: $i] :
( ( sK2 = X0 )
| ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( $false
= ( ~ ( sK3 @ sK8 @ X0 ) ) )
| ( sK8 = X0 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_129])],[avatar_definition]) ).
thf(f744,definition,
( spl0_68
<=> ( ( sK3 @ sK8 @ sK2 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_68])],[avatar_definition]) ).
thf(f7781,plain,
( ! [X0: $i] :
( ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( $false
= ( ~ ( sK3 @ sK8 @ X0 ) ) )
| ( sK8 = X0 )
| ( sK2 = X0 ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[status(thm)],[f7780]) ).
thf(f7780,plain,
( ! [X0: $i] :
( ( $false
= ( ~ ( sK3 @ sK8 @ X0 ) ) )
| ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( sK2 = X0 )
| ( sK8 = X0 )
| ( $false = $true ) )
| ~ spl0_68 ),
inference(boolean_simplification,[status(thm)],[f7779]) ).
thf(f7779,plain,
( ! [X0: $i] :
( ( $false
= ( ~ ( sK3 @ sK8 @ X0 ) ) )
| ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( sK2 = X0 )
| ( sK8 = X0 )
| ( ( ~ $false ) = $false ) )
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f1774,f746]) ).
thf(f746,plain,
( ( ( sK3 @ sK8 @ sK2 )
= $false )
| ~ spl0_68 ),
inference(avatar_component_clause,[status(thm)],[f744]) ).
thf(f1774,plain,
! [X0: $i] :
( ( sK2 = X0 )
| ( $false
= ( ~ ( sK3 @ sK8 @ X0 ) ) )
| ( ( ~ ( sK3 @ sK8 @ sK2 ) )
= $false )
| ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( sK8 = X0 ) ),
inference(trivial_inequality_removal,[status(thm)],[f1727]) ).
thf(f1727,plain,
! [X0: $i] :
( ( sK2 = X0 )
| ( $false
= ( ~ ( sK3 @ sK8 @ X0 ) ) )
| ( ( ~ ( sK3 @ sK8 @ sK2 ) )
= $false )
| ( $false = $true )
| ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( sK8 = X0 ) ),
inference(superposition,[status(thm)],[f1328,f32]) ).
thf(f32,plain,
( ( sK8 != sK2 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f31]) ).
thf(f1328,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( X2 != X1 )
= $false )
| ( X2 = X3 )
| ( ( ~ ( sK3 @ X2 @ X3 ) )
= $false )
| ( ( ~ ( sK3 @ X2 @ X1 ) )
= $false )
| ( ( ~ ( sK3 @ X1 @ X3 ) )
= $false )
| ( X1 = X3 ) ),
inference(equality_proxy_clausification,[status(thm)],[f1235]) ).
thf(f1235,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( X3 = X1 )
= $true )
| ( ( ~ ( sK3 @ X2 @ X3 ) )
= $false )
| ( ( ~ ( sK3 @ X2 @ X1 ) )
= $false )
| ( X2 = X3 )
| ( ( X2 != X1 )
= $false )
| ( ( ~ ( sK3 @ X1 @ X3 ) )
= $false ) ),
inference(not_proxy_clausification,[status(thm)],[f865]) ).
thf(f865,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( X3 != X1 )
= $false )
| ( ( ~ ( sK3 @ X2 @ X1 ) )
= $false )
| ( ( ~ ( sK3 @ X2 @ X3 ) )
= $false )
| ( ( X2 != X1 )
= $false )
| ( X2 = X3 )
| ( ( ~ ( sK3 @ X1 @ X3 ) )
= $false ) ),
inference(equality_proxy_clausification,[status(thm)],[f791]) ).
thf(f791,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ~ ( sK3 @ X2 @ X1 ) )
= $false )
| ( ( ~ ( sK3 @ X1 @ X3 ) )
= $false )
| ( ( X3 != X1 )
= $false )
| ( ( ~ ( sK3 @ X2 @ X3 ) )
= $false )
| ( ( X3 = X2 )
= $true )
| ( ( X2 != X1 )
= $false ) ),
inference(not_proxy_clausification,[status(thm)],[f71]) ).
thf(f71,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( X3 != X2 )
= $false )
| ( ( ~ ( sK3 @ X1 @ X3 ) )
= $false )
| ( ( ~ ( sK3 @ X2 @ X3 ) )
= $false )
| ( ( X3 != X1 )
= $false )
| ( ( X2 != X1 )
= $false )
| ( ( ~ ( sK3 @ X2 @ X1 ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f70]) ).
thf(f70,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ~ ( sK3 @ X2 @ X3 )
& ~ ( sK3 @ X2 @ X1 ) )
= $false )
| ( ( X3 != X1 )
= $false )
| ( ( X2 != X1 )
= $false )
| ( ( X3 != X2 )
= $false )
| ( ( ~ ( sK3 @ X1 @ X3 ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f69]) ).
thf(f69,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( X3 != X2 )
= $false )
| ( ( X2 != X1 )
= $false )
| ( ( X3 != X1 )
= $false )
| ( ( ~ ( sK3 @ X2 @ X3 )
& ~ ( sK3 @ X2 @ X1 )
& ~ ( sK3 @ X1 @ X3 ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f67]) ).
thf(f67,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( X2 != X1 )
= $false )
| ( ( X3 != X1 )
= $false )
| ( ( X3 != X2 )
= $false )
| ( ( ( ~ ( sK3 @ X2 @ X3 )
& ~ ( sK3 @ X2 @ X1 )
& ~ ( sK3 @ X1 @ X3 ) )
| ( ( sK3 @ X2 @ X1 )
& ( sK3 @ X2 @ X3 )
& ( sK3 @ X1 @ X3 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f66]) ).
thf(f66,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( X2 != X1 )
= $false )
| ( $false
= ( ( ( ~ ( sK3 @ X2 @ X3 )
& ~ ( sK3 @ X2 @ X1 )
& ~ ( sK3 @ X1 @ X3 ) )
| ( ( sK3 @ X2 @ X1 )
& ( sK3 @ X2 @ X3 )
& ( sK3 @ X1 @ X3 ) ) )
& ( X3 != X2 ) ) )
| ( ( X3 != X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f65]) ).
thf(f65,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( X2 != X1 )
= $false )
| ( ( ( ( ~ ( sK3 @ X2 @ X3 )
& ~ ( sK3 @ X2 @ X1 )
& ~ ( sK3 @ X1 @ X3 ) )
| ( ( sK3 @ X2 @ X1 )
& ( sK3 @ X2 @ X3 )
& ( sK3 @ X1 @ X3 ) ) )
& ( X3 != X2 )
& ( X3 != X1 ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f64]) ).
thf(f64,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ( ~ ( sK3 @ X2 @ X3 )
& ~ ( sK3 @ X2 @ X1 )
& ~ ( sK3 @ X1 @ X3 ) )
| ( ( sK3 @ X2 @ X1 )
& ( sK3 @ X2 @ X3 )
& ( sK3 @ X1 @ X3 ) ) )
& ( X3 != X2 )
& ( X3 != X1 )
& ( X2 != X1 ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f63]) ).
thf(f63,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( ( ~ ( sK3 @ X2 @ Y0 )
& ~ ( sK3 @ X2 @ X1 )
& ~ ( sK3 @ X1 @ Y0 ) )
| ( ( sK3 @ X2 @ X1 )
& ( sK3 @ X2 @ Y0 )
& ( sK3 @ X1 @ Y0 ) ) )
& ( Y0 != X2 )
& ( Y0 != X1 )
& ( X2 != X1 ) )
@ X3 )
= $false ),
inference(pi_clausification,[status(thm)],[f62]) ).
thf(f62,plain,
! [X2: $i,X1: $i] :
( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ( ~ ( sK3 @ X2 @ Y0 )
& ~ ( sK3 @ X2 @ X1 )
& ~ ( sK3 @ X1 @ Y0 ) )
| ( ( sK3 @ X2 @ X1 )
& ( sK3 @ X2 @ Y0 )
& ( sK3 @ X1 @ Y0 ) ) )
& ( Y0 != X2 )
& ( Y0 != X1 )
& ( X2 != X1 ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f61]) ).
thf(f61,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( ( ~ ( sK3 @ Y0 @ Y1 )
& ~ ( sK3 @ Y0 @ X1 )
& ~ ( sK3 @ X1 @ Y1 ) )
| ( ( sK3 @ Y0 @ X1 )
& ( sK3 @ Y0 @ Y1 )
& ( sK3 @ X1 @ Y1 ) ) )
& ( Y1 != Y0 )
& ( Y1 != X1 )
& ( Y0 != X1 ) ) )
@ X2 )
= $false ),
inference(pi_clausification,[status(thm)],[f60]) ).
thf(f60,plain,
! [X1: $i] :
( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( ( ~ ( sK3 @ Y0 @ Y1 )
& ~ ( sK3 @ Y0 @ X1 )
& ~ ( sK3 @ X1 @ Y1 ) )
| ( ( sK3 @ Y0 @ X1 )
& ( sK3 @ Y0 @ Y1 )
& ( sK3 @ X1 @ Y1 ) ) )
& ( Y1 != Y0 )
& ( Y1 != X1 )
& ( Y0 != X1 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f59]) ).
thf(f59,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( ( ~ ( sK3 @ Y1 @ Y2 )
& ~ ( sK3 @ Y1 @ Y0 )
& ~ ( sK3 @ Y0 @ Y2 ) )
| ( ( sK3 @ Y1 @ Y0 )
& ( sK3 @ Y1 @ Y2 )
& ( sK3 @ Y0 @ Y2 ) ) )
& ( Y2 != Y1 )
& ( Y2 != Y0 )
& ( Y1 != Y0 ) ) ) )
@ X1 )
= $false ),
inference(pi_clausification,[status(thm)],[f22]) ).
thf(f22,plain,
( ( ?? @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( ( ~ ( sK3 @ Y1 @ Y2 )
& ~ ( sK3 @ Y1 @ Y0 )
& ~ ( sK3 @ Y0 @ Y2 ) )
| ( ( sK3 @ Y1 @ Y0 )
& ( sK3 @ Y1 @ Y2 )
& ( sK3 @ Y0 @ Y2 ) ) )
& ( Y2 != Y1 )
& ( Y2 != Y0 )
& ( Y1 != Y0 ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f21]) ).
thf(f7778,plain,
( spl0_7
| spl0_23
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[status(thm)],[f7777]) ).
thf(f7777,plain,
( $false
| spl0_7
| spl0_23
| ~ spl0_46 ),
inference(subsumption_resolution,[status(thm)],[f7776,f265]) ).
thf(f7776,plain,
( ( sK5 = sK7 )
| spl0_7
| spl0_23
| ~ spl0_46 ),
inference(subsumption_resolution,[status(thm)],[f7775,f178]) ).
thf(f178,plain,
( ( $false
!= ( sK3 @ sK2 @ sK7 ) )
| spl0_7 ),
inference(avatar_component_clause,[status(thm)],[f177]) ).
thf(f177,definition,
( spl0_7
<=> ( $false
= ( sK3 @ sK2 @ sK7 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition]) ).
thf(f7775,plain,
( ( $false
= ( sK3 @ sK2 @ sK7 ) )
| ( sK5 = sK7 )
| spl0_23
| ~ spl0_46 ),
inference(subsumption_resolution,[status(thm)],[f7771,f79]) ).
thf(f79,plain,
sK2 != sK7,
inference(equality_proxy_clausification,[status(thm)],[f78]) ).
thf(f78,plain,
( $false
= ( sK7 = sK2 ) ),
inference(not_proxy_clausification,[status(thm)],[f28]) ).
thf(f28,plain,
( ( sK7 != sK2 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f27]) ).
thf(f7771,plain,
( ( sK2 = sK7 )
| ( sK5 = sK7 )
| ( $false
= ( sK3 @ sK2 @ sK7 ) )
| spl0_23
| ~ spl0_46 ),
inference(trivial_inequality_removal,[status(thm)],[f7767]) ).
thf(f7767,plain,
( ( sK5 = sK7 )
| ( sK2 = sK7 )
| ( $false != $false )
| ( $false
= ( sK3 @ sK2 @ sK7 ) )
| spl0_23
| ~ spl0_46 ),
inference(superposition,[status(thm)],[f258,f646]) ).
thf(f646,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK5 @ X0 )
= $false )
| ( sK5 = X0 )
| ( sK2 = X0 )
| ( ( sK3 @ sK2 @ X0 )
= $false ) )
| ~ spl0_46 ),
inference(avatar_component_clause,[status(thm)],[f645]) ).
thf(f645,definition,
( spl0_46
<=> ! [X0: $i] :
( ( ( sK3 @ sK2 @ X0 )
= $false )
| ( sK2 = X0 )
| ( sK5 = X0 )
| ( ( sK3 @ sK5 @ X0 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_46])],[avatar_definition]) ).
thf(f258,plain,
( ( ( sK3 @ sK5 @ sK7 )
!= $false )
| spl0_23 ),
inference(avatar_component_clause,[status(thm)],[f257]) ).
thf(f7753,plain,
( spl0_20
| spl0_28
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[status(thm)],[f7752]) ).
thf(f7752,plain,
( $false
| spl0_20
| spl0_28
| ~ spl0_46 ),
inference(subsumption_resolution,[status(thm)],[f7751,f286]) ).
thf(f7751,plain,
( ( sK8 = sK5 )
| spl0_20
| spl0_28
| ~ spl0_46 ),
inference(subsumption_resolution,[status(thm)],[f7750,f83]) ).
thf(f83,plain,
sK8 != sK2,
inference(equality_proxy_clausification,[status(thm)],[f82]) ).
thf(f82,plain,
( ( sK8 = sK2 )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f32]) ).
thf(f7750,plain,
( ( sK8 = sK2 )
| ( sK8 = sK5 )
| spl0_20
| spl0_28
| ~ spl0_46 ),
inference(subsumption_resolution,[status(thm)],[f7749,f236]) ).
thf(f236,plain,
( ( $false
!= ( sK3 @ sK2 @ sK8 ) )
| spl0_20 ),
inference(avatar_component_clause,[status(thm)],[f235]) ).
thf(f235,definition,
( spl0_20
<=> ( $false
= ( sK3 @ sK2 @ sK8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_20])],[avatar_definition]) ).
thf(f7749,plain,
( ( $false
= ( sK3 @ sK2 @ sK8 ) )
| ( sK8 = sK2 )
| ( sK8 = sK5 )
| spl0_28
| ~ spl0_46 ),
inference(trivial_inequality_removal,[status(thm)],[f7745]) ).
thf(f7745,plain,
( ( $false
= ( sK3 @ sK2 @ sK8 ) )
| ( $false != $false )
| ( sK8 = sK5 )
| ( sK8 = sK2 )
| spl0_28
| ~ spl0_46 ),
inference(superposition,[status(thm)],[f292,f646]) ).
thf(f292,plain,
( ( ( sK3 @ sK5 @ sK8 )
!= $false )
| spl0_28 ),
inference(avatar_component_clause,[status(thm)],[f291]) ).
thf(f7720,plain,
~ spl0_74,
inference(avatar_contradiction_clause,[status(thm)],[f7719]) ).
thf(f7719,plain,
( $false
| ~ spl0_74 ),
inference(subsumption_resolution,[status(thm)],[f7718,f81]) ).
thf(f81,plain,
sK5 != sK4,
inference(equality_proxy_clausification,[status(thm)],[f80]) ).
thf(f80,plain,
( ( sK5 = sK4 )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f30]) ).
thf(f30,plain,
( ( sK5 != sK4 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f29]) ).
thf(f7718,plain,
( ( sK5 = sK4 )
| ~ spl0_74 ),
inference(equality_proxy_clausification,[status(thm)],[f7717]) ).
thf(f7717,plain,
( ( ( sK4 = sK5 )
= $true )
| ~ spl0_74 ),
inference(not_proxy_clausification,[status(thm)],[f1195]) ).
thf(f1195,plain,
( ( ( sK4 != sK5 )
= $false )
| ~ spl0_74 ),
inference(avatar_component_clause,[status(thm)],[f1193]) ).
thf(f1193,definition,
( spl0_74
<=> ( ( sK4 != sK5 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_74])],[avatar_definition]) ).
thf(f7706,plain,
( ~ spl0_31
| ~ spl0_54
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[status(thm)],[f7705]) ).
thf(f7705,plain,
( $false
| ~ spl0_31
| ~ spl0_54
| ~ spl0_147 ),
inference(trivial_inequality_removal,[status(thm)],[f7704]) ).
thf(f7704,plain,
( ( $false = $true )
| ~ spl0_31
| ~ spl0_54
| ~ spl0_147 ),
inference(forward_demodulation,[status(thm)],[f7703,f678]) ).
thf(f678,plain,
( ( $false
= ( sK3 @ sK6 @ sK2 ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[status(thm)],[f676]) ).
thf(f676,definition,
( spl0_54
<=> ( $false
= ( sK3 @ sK6 @ sK2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_54])],[avatar_definition]) ).
thf(f7703,plain,
( ( ( sK3 @ sK6 @ sK2 )
= $true )
| ~ spl0_31
| ~ spl0_147 ),
inference(subsumption_resolution,[status(thm)],[f7702,f87]) ).
thf(f87,plain,
sK6 != sK2,
inference(equality_proxy_clausification,[status(thm)],[f86]) ).
thf(f86,plain,
( ( sK6 = sK2 )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f36]) ).
thf(f36,plain,
( ( sK6 != sK2 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f35]) ).
thf(f7702,plain,
( ( ( sK3 @ sK6 @ sK2 )
= $true )
| ( sK6 = sK2 )
| ~ spl0_31
| ~ spl0_147 ),
inference(subsumption_resolution,[status(thm)],[f7687,f91]) ).
thf(f7687,plain,
( ( sK4 = sK2 )
| ( ( sK3 @ sK6 @ sK2 )
= $true )
| ( sK6 = sK2 )
| ~ spl0_31
| ~ spl0_147 ),
inference(trivial_inequality_removal,[status(thm)],[f7686]) ).
thf(f7686,plain,
( ( ( sK3 @ sK6 @ sK2 )
= $true )
| ( sK6 = sK2 )
| ( $false = $true )
| ( sK4 = sK2 )
| ~ spl0_31
| ~ spl0_147 ),
inference(boolean_simplification,[status(thm)],[f7676]) ).
thf(f7676,plain,
( ( ( ~ $false ) = $false )
| ( ( sK3 @ sK6 @ sK2 )
= $true )
| ( sK6 = sK2 )
| ( sK4 = sK2 )
| ~ spl0_31
| ~ spl0_147 ),
inference(superposition,[status(thm)],[f7360,f333]) ).
thf(f333,plain,
( ( ( sK3 @ sK4 @ sK2 )
= $false )
| ~ spl0_31 ),
inference(avatar_component_clause,[status(thm)],[f331]) ).
thf(f7360,plain,
( ! [X0: $i] :
( ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false )
| ( sK4 = X0 )
| ( sK6 = X0 )
| ( ( sK3 @ sK6 @ X0 )
= $true ) )
| ~ spl0_147 ),
inference(not_proxy_clausification,[status(thm)],[f4671]) ).
thf(f4671,plain,
( ! [X0: $i] :
( ( ( ~ ( sK3 @ sK6 @ X0 ) )
= $false )
| ( sK4 = X0 )
| ( sK6 = X0 )
| ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false ) )
| ~ spl0_147 ),
inference(avatar_component_clause,[status(thm)],[f4670]) ).
thf(f4670,definition,
( spl0_147
<=> ! [X0: $i] :
( ( sK6 = X0 )
| ( ( ~ ( sK3 @ sK6 @ X0 ) )
= $false )
| ( sK4 = X0 )
| ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_147])],[avatar_definition]) ).
thf(f7699,plain,
( ~ spl0_16
| ~ spl0_56
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[status(thm)],[f7698]) ).
thf(f7698,plain,
( $false
| ~ spl0_16
| ~ spl0_56
| ~ spl0_147 ),
inference(trivial_inequality_removal,[status(thm)],[f7697]) ).
thf(f7697,plain,
( ( $false = $true )
| ~ spl0_16
| ~ spl0_56
| ~ spl0_147 ),
inference(forward_demodulation,[status(thm)],[f7696,f688]) ).
thf(f7696,plain,
( ( ( sK3 @ sK6 @ sK5 )
= $true )
| ~ spl0_16
| ~ spl0_147 ),
inference(subsumption_resolution,[status(thm)],[f7695,f95]) ).
thf(f7695,plain,
( ( sK5 = sK6 )
| ( ( sK3 @ sK6 @ sK5 )
= $true )
| ~ spl0_16
| ~ spl0_147 ),
inference(subsumption_resolution,[status(thm)],[f7689,f81]) ).
thf(f7689,plain,
( ( ( sK3 @ sK6 @ sK5 )
= $true )
| ( sK5 = sK4 )
| ( sK5 = sK6 )
| ~ spl0_16
| ~ spl0_147 ),
inference(trivial_inequality_removal,[status(thm)],[f7688]) ).
thf(f7688,plain,
( ( sK5 = sK4 )
| ( sK5 = sK6 )
| ( $false = $true )
| ( ( sK3 @ sK6 @ sK5 )
= $true )
| ~ spl0_16
| ~ spl0_147 ),
inference(boolean_simplification,[status(thm)],[f7677]) ).
thf(f7677,plain,
( ( sK5 = sK6 )
| ( ( sK3 @ sK6 @ sK5 )
= $true )
| ( sK5 = sK4 )
| ( ( ~ $false ) = $false )
| ~ spl0_16
| ~ spl0_147 ),
inference(superposition,[status(thm)],[f7360,f215]) ).
thf(f215,plain,
( ( ( sK3 @ sK4 @ sK5 )
= $false )
| ~ spl0_16 ),
inference(avatar_component_clause,[status(thm)],[f213]) ).
thf(f213,definition,
( spl0_16
<=> ( ( sK3 @ sK4 @ sK5 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_16])],[avatar_definition]) ).
thf(f7668,plain,
( spl0_25
| spl0_30
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[status(thm)],[f7667]) ).
thf(f7667,plain,
( $false
| spl0_25
| spl0_30
| ~ spl0_65 ),
inference(subsumption_resolution,[status(thm)],[f7666,f306]) ).
thf(f306,plain,
( ( $false
!= ( sK3 @ sK4 @ sK7 ) )
| spl0_30 ),
inference(avatar_component_clause,[status(thm)],[f305]) ).
thf(f7666,plain,
( ( $false
= ( sK3 @ sK4 @ sK7 ) )
| spl0_25
| ~ spl0_65 ),
inference(subsumption_resolution,[status(thm)],[f7665,f310]) ).
thf(f7665,plain,
( ( sK4 = sK7 )
| ( $false
= ( sK3 @ sK4 @ sK7 ) )
| spl0_25
| ~ spl0_65 ),
inference(subsumption_resolution,[status(thm)],[f7663,f279]) ).
thf(f7663,plain,
( ( sK6 = sK7 )
| ( $false
= ( sK3 @ sK4 @ sK7 ) )
| ( sK4 = sK7 )
| spl0_25
| ~ spl0_65 ),
inference(trivial_inequality_removal,[status(thm)],[f7659]) ).
thf(f7659,plain,
( ( $false != $false )
| ( $false
= ( sK3 @ sK4 @ sK7 ) )
| ( sK4 = sK7 )
| ( sK6 = sK7 )
| spl0_25
| ~ spl0_65 ),
inference(superposition,[status(thm)],[f273,f730]) ).
thf(f730,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK6 @ X0 )
= $false )
| ( sK6 = X0 )
| ( sK4 = X0 )
| ( ( sK3 @ sK4 @ X0 )
= $false ) )
| ~ spl0_65 ),
inference(avatar_component_clause,[status(thm)],[f729]) ).
thf(f729,definition,
( spl0_65
<=> ! [X0: $i] :
( ( sK4 = X0 )
| ( ( sK3 @ sK4 @ X0 )
= $false )
| ( ( sK3 @ sK6 @ X0 )
= $false )
| ( sK6 = X0 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_65])],[avatar_definition]) ).
thf(f7474,plain,
( spl0_7
| ~ spl0_44
| spl0_59 ),
inference(avatar_split_clause,[status(thm)],[f7473,f703,f636,f177]) ).
thf(f636,definition,
( spl0_44
<=> ! [X0: $i] :
( ( ( sK3 @ sK2 @ X0 )
= $false )
| ( sK2 = X0 )
| ( ( sK3 @ sK4 @ X0 )
= $false )
| ( sK4 = X0 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_44])],[avatar_definition]) ).
thf(f7473,plain,
( ( $false
= ( sK3 @ sK2 @ sK7 ) )
| ~ spl0_44
| spl0_59 ),
inference(subsumption_resolution,[status(thm)],[f7472,f79]) ).
thf(f7472,plain,
( ( $false
= ( sK3 @ sK2 @ sK7 ) )
| ( sK2 = sK7 )
| ~ spl0_44
| spl0_59 ),
inference(subsumption_resolution,[status(thm)],[f7037,f310]) ).
thf(f7037,plain,
( ( sK4 = sK7 )
| ( sK2 = sK7 )
| ( $false
= ( sK3 @ sK2 @ sK7 ) )
| ~ spl0_44
| spl0_59 ),
inference(trivial_inequality_removal,[status(thm)],[f7032]) ).
thf(f7032,plain,
( ( sK4 = sK7 )
| ( $false = $true )
| ( sK2 = sK7 )
| ( $false
= ( sK3 @ sK2 @ sK7 ) )
| ~ spl0_44
| spl0_59 ),
inference(superposition,[status(thm)],[f6931,f637]) ).
thf(f637,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK4 @ X0 )
= $false )
| ( sK2 = X0 )
| ( ( sK3 @ sK2 @ X0 )
= $false )
| ( sK4 = X0 ) )
| ~ spl0_44 ),
inference(avatar_component_clause,[status(thm)],[f636]) ).
thf(f6931,plain,
( ( ( sK3 @ sK4 @ sK7 )
= $true )
| spl0_59 ),
inference(trivial_inequality_removal,[status(thm)],[f6930]) ).
thf(f6930,plain,
( ( $false != $false )
| ( ( sK3 @ sK4 @ sK7 )
= $true )
| spl0_59 ),
inference(superposition,[status(thm)],[f704,f58]) ).
thf(f704,plain,
( ( $false
!= ( sK3 @ sK7 @ sK4 ) )
| spl0_59 ),
inference(avatar_component_clause,[status(thm)],[f703]) ).
thf(f7466,plain,
( spl0_7
| spl0_30
| ~ spl0_44 ),
inference(avatar_split_clause,[status(thm)],[f7465,f636,f305,f177]) ).
thf(f7465,plain,
( ( $false
= ( sK3 @ sK2 @ sK7 ) )
| spl0_30
| ~ spl0_44 ),
inference(subsumption_resolution,[status(thm)],[f7464,f79]) ).
thf(f7464,plain,
( ( $false
= ( sK3 @ sK2 @ sK7 ) )
| ( sK2 = sK7 )
| spl0_30
| ~ spl0_44 ),
inference(subsumption_resolution,[status(thm)],[f7048,f310]) ).
thf(f7048,plain,
( ( sK4 = sK7 )
| ( $false
= ( sK3 @ sK2 @ sK7 ) )
| ( sK2 = sK7 )
| spl0_30
| ~ spl0_44 ),
inference(trivial_inequality_removal,[status(thm)],[f7033]) ).
thf(f7033,plain,
( ( sK2 = sK7 )
| ( $false
= ( sK3 @ sK2 @ sK7 ) )
| ( $false != $false )
| ( sK4 = sK7 )
| spl0_30
| ~ spl0_44 ),
inference(superposition,[status(thm)],[f306,f637]) ).
thf(f7459,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[status(thm)],[f4030,f169,f172]) ).
thf(f172,definition,
( spl0_6
<=> ( ( sK3 @ sK2 @ sK6 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition]) ).
thf(f169,definition,
( spl0_5
<=> ! [X0: $i] :
( ( ( sK2 != X0 )
= $false )
| ( ( sK6 != X0 )
= $false )
| ( ( sK3 @ X0 @ sK6 )
= $false )
| ( ( sK3 @ sK2 @ X0 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition]) ).
thf(f4030,plain,
! [X0: $i] :
( ( ( sK6 != X0 )
= $false )
| ( ( sK3 @ X0 @ sK6 )
= $false )
| ( ( sK3 @ sK2 @ X0 )
= $false )
| ( ( sK3 @ sK2 @ sK6 )
= $false )
| ( ( sK2 != X0 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f4017]) ).
thf(f4017,plain,
! [X0: $i] :
( ( $false = $true )
| ( ( sK3 @ sK2 @ sK6 )
= $false )
| ( ( sK3 @ X0 @ sK6 )
= $false )
| ( ( sK3 @ sK2 @ X0 )
= $false )
| ( ( sK2 != X0 )
= $false )
| ( ( sK6 != X0 )
= $false ) ),
inference(superposition,[status(thm)],[f73,f36]) ).
thf(f73,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( X3 != X2 )
= $false )
| ( ( X3 != X1 )
= $false )
| ( $false
= ( sK3 @ X2 @ X1 ) )
| ( ( X2 != X1 )
= $false )
| ( ( sK3 @ X1 @ X3 )
= $false )
| ( ( sK3 @ X2 @ X3 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f72]) ).
thf(f72,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( X3 != X2 )
= $false )
| ( ( sK3 @ X1 @ X3 )
= $false )
| ( ( X3 != X1 )
= $false )
| ( ( ( sK3 @ X2 @ X1 )
& ( sK3 @ X2 @ X3 ) )
= $false )
| ( ( X2 != X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f68]) ).
thf(f68,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ( sK3 @ X2 @ X1 )
& ( sK3 @ X2 @ X3 )
& ( sK3 @ X1 @ X3 ) )
= $false )
| ( ( X3 != X1 )
= $false )
| ( ( X2 != X1 )
= $false )
| ( ( X3 != X2 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f67]) ).
thf(f7420,plain,
( spl0_45
| spl0_54
| ~ spl0_55 ),
inference(avatar_contradiction_clause,[status(thm)],[f7419]) ).
thf(f7419,plain,
( $false
| spl0_45
| spl0_54
| ~ spl0_55 ),
inference(subsumption_resolution,[status(thm)],[f7418,f77]) ).
thf(f7418,plain,
( ( sK5 = sK2 )
| spl0_45
| spl0_54
| ~ spl0_55 ),
inference(subsumption_resolution,[status(thm)],[f7417,f87]) ).
thf(f7417,plain,
( ( sK6 = sK2 )
| ( sK5 = sK2 )
| spl0_45
| spl0_54
| ~ spl0_55 ),
inference(subsumption_resolution,[status(thm)],[f7415,f642]) ).
thf(f7415,plain,
( ( ( sK3 @ sK5 @ sK2 )
= $false )
| ( sK5 = sK2 )
| ( sK6 = sK2 )
| spl0_54
| ~ spl0_55 ),
inference(trivial_inequality_removal,[status(thm)],[f7409]) ).
thf(f7409,plain,
( ( sK5 = sK2 )
| ( $false != $false )
| ( sK6 = sK2 )
| ( ( sK3 @ sK5 @ sK2 )
= $false )
| spl0_54
| ~ spl0_55 ),
inference(superposition,[status(thm)],[f677,f684]) ).
thf(f684,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK6 @ X0 )
= $false )
| ( sK5 = X0 )
| ( ( sK3 @ sK5 @ X0 )
= $false )
| ( sK6 = X0 ) )
| ~ spl0_55 ),
inference(avatar_component_clause,[status(thm)],[f683]) ).
thf(f683,definition,
( spl0_55
<=> ! [X0: $i] :
( ( sK5 = X0 )
| ( ( sK3 @ sK6 @ X0 )
= $false )
| ( ( sK3 @ sK5 @ X0 )
= $false )
| ( sK6 = X0 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_55])],[avatar_definition]) ).
thf(f677,plain,
( ( $false
!= ( sK3 @ sK6 @ sK2 ) )
| spl0_54 ),
inference(avatar_component_clause,[status(thm)],[f676]) ).
thf(f7408,plain,
( spl0_6
| ~ spl0_54 ),
inference(avatar_contradiction_clause,[status(thm)],[f7407]) ).
thf(f7407,plain,
( $false
| spl0_6
| ~ spl0_54 ),
inference(trivial_inequality_removal,[status(thm)],[f7406]) ).
thf(f7406,plain,
( ( $false = $true )
| spl0_6
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f7397,f678]) ).
thf(f7397,plain,
( ( ( sK3 @ sK6 @ sK2 )
= $true )
| spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f7396]) ).
thf(f7396,plain,
( ( $false != $false )
| ( ( sK3 @ sK6 @ sK2 )
= $true )
| spl0_6 ),
inference(superposition,[status(thm)],[f173,f58]) ).
thf(f173,plain,
( ( ( sK3 @ sK2 @ sK6 )
!= $false )
| spl0_6 ),
inference(avatar_component_clause,[status(thm)],[f172]) ).
thf(f7405,plain,
( spl0_53
| spl0_6 ),
inference(avatar_split_clause,[status(thm)],[f7404,f172,f673]) ).
thf(f673,definition,
( spl0_53
<=> ! [X0: $i] :
( ( sK2 = X0 )
| ( ( sK3 @ sK2 @ X0 )
= $false )
| ( ( sK3 @ sK6 @ X0 )
= $false )
| ( sK6 = X0 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_53])],[avatar_definition]) ).
thf(f7404,plain,
( ! [X0: $i] :
( ( sK6 = X0 )
| ( ( sK3 @ sK6 @ X0 )
= $false )
| ( sK2 = X0 )
| ( ( sK3 @ sK2 @ X0 )
= $false ) )
| spl0_6 ),
inference(subsumption_resolution,[status(thm)],[f7398,f87]) ).
thf(f7398,plain,
( ! [X0: $i] :
( ( sK2 = X0 )
| ( sK6 = X0 )
| ( ( sK3 @ sK2 @ X0 )
= $false )
| ( ( sK3 @ sK6 @ X0 )
= $false )
| ( sK6 = sK2 ) )
| spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f7395]) ).
thf(f7395,plain,
( ! [X0: $i] :
( ( sK6 = sK2 )
| ( $false != $false )
| ( ( sK3 @ sK6 @ X0 )
= $false )
| ( ( sK3 @ sK2 @ X0 )
= $false )
| ( sK6 = X0 )
| ( sK2 = X0 ) )
| spl0_6 ),
inference(superposition,[status(thm)],[f173,f680]) ).
thf(f680,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( sK3 @ X2 @ X1 ) )
| ( ( sK3 @ X2 @ X3 )
= $false )
| ( ( sK3 @ X1 @ X3 )
= $false )
| ( X1 = X3 )
| ( X1 = X2 )
| ( X2 = X3 ) ),
inference(equality_proxy_clausification,[status(thm)],[f558]) ).
thf(f558,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( sK3 @ X1 @ X3 )
= $false )
| ( $false
= ( sK3 @ X2 @ X1 ) )
| ( X2 = X3 )
| ( ( X2 = X1 )
= $true )
| ( X1 = X3 )
| ( ( sK3 @ X2 @ X3 )
= $false ) ),
inference(not_proxy_clausification,[status(thm)],[f444]) ).
thf(f444,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( X2 != X1 )
= $false )
| ( $false
= ( sK3 @ X2 @ X1 ) )
| ( X1 = X3 )
| ( ( sK3 @ X2 @ X3 )
= $false )
| ( X2 = X3 )
| ( ( sK3 @ X1 @ X3 )
= $false ) ),
inference(equality_proxy_clausification,[status(thm)],[f354]) ).
thf(f354,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( X3 = X1 )
= $true )
| ( ( sK3 @ X1 @ X3 )
= $false )
| ( ( sK3 @ X2 @ X3 )
= $false )
| ( ( X2 != X1 )
= $false )
| ( X2 = X3 )
| ( $false
= ( sK3 @ X2 @ X1 ) ) ),
inference(not_proxy_clausification,[status(thm)],[f225]) ).
thf(f225,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( X3 != X1 )
= $false )
| ( ( X2 != X1 )
= $false )
| ( ( sK3 @ X2 @ X3 )
= $false )
| ( ( sK3 @ X1 @ X3 )
= $false )
| ( X2 = X3 )
| ( $false
= ( sK3 @ X2 @ X1 ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f96]) ).
thf(f96,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( X3 = X2 )
= $true )
| ( $false
= ( sK3 @ X2 @ X1 ) )
| ( ( X2 != X1 )
= $false )
| ( ( X3 != X1 )
= $false )
| ( ( sK3 @ X2 @ X3 )
= $false )
| ( ( sK3 @ X1 @ X3 )
= $false ) ),
inference(not_proxy_clausification,[status(thm)],[f73]) ).
thf(f7341,plain,
( spl0_72
| ~ spl0_58
| ~ spl0_98 ),
inference(avatar_split_clause,[status(thm)],[f7300,f2888,f697,f1000]) ).
thf(f1000,definition,
( spl0_72
<=> ( ( ~ ( sK3 @ sK2 @ sK6 ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_72])],[avatar_definition]) ).
thf(f2888,definition,
( spl0_98
<=> ! [X0: $i] :
( ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( sK2 = X0 )
| ( sK7 = X0 )
| ( ( ~ ( sK3 @ sK7 @ X0 ) )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_98])],[avatar_definition]) ).
thf(f7300,plain,
( ( ( ~ ( sK3 @ sK2 @ sK6 ) )
= $false )
| ~ spl0_58
| ~ spl0_98 ),
inference(subsumption_resolution,[status(thm)],[f7299,f279]) ).
thf(f7299,plain,
( ( sK6 = sK7 )
| ( ( ~ ( sK3 @ sK2 @ sK6 ) )
= $false )
| ~ spl0_58
| ~ spl0_98 ),
inference(subsumption_resolution,[status(thm)],[f7269,f87]) ).
thf(f7269,plain,
( ( ( ~ ( sK3 @ sK2 @ sK6 ) )
= $false )
| ( sK6 = sK2 )
| ( sK6 = sK7 )
| ~ spl0_58
| ~ spl0_98 ),
inference(trivial_inequality_removal,[status(thm)],[f7268]) ).
thf(f7268,plain,
( ( ( ~ ( sK3 @ sK2 @ sK6 ) )
= $false )
| ( $false = $true )
| ( sK6 = sK2 )
| ( sK6 = sK7 )
| ~ spl0_58
| ~ spl0_98 ),
inference(boolean_simplification,[status(thm)],[f7262]) ).
thf(f7262,plain,
( ( sK6 = sK7 )
| ( ( ~ ( sK3 @ sK2 @ sK6 ) )
= $false )
| ( sK6 = sK2 )
| ( ( ~ $false ) = $false )
| ~ spl0_58
| ~ spl0_98 ),
inference(superposition,[status(thm)],[f2889,f699]) ).
thf(f699,plain,
( ( ( sK3 @ sK7 @ sK6 )
= $false )
| ~ spl0_58 ),
inference(avatar_component_clause,[status(thm)],[f697]) ).
thf(f2889,plain,
( ! [X0: $i] :
( ( ( ~ ( sK3 @ sK7 @ X0 ) )
= $false )
| ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( sK7 = X0 )
| ( sK2 = X0 ) )
| ~ spl0_98 ),
inference(avatar_component_clause,[status(thm)],[f2888]) ).
thf(f7304,plain,
( ~ spl0_6
| ~ spl0_58
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[status(thm)],[f7303]) ).
thf(f7303,plain,
( $false
| ~ spl0_6
| ~ spl0_58
| ~ spl0_98 ),
inference(trivial_inequality_removal,[status(thm)],[f7302]) ).
thf(f7302,plain,
( ( $false = $true )
| ~ spl0_6
| ~ spl0_58
| ~ spl0_98 ),
inference(boolean_simplification,[status(thm)],[f7301]) ).
thf(f7301,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_6
| ~ spl0_58
| ~ spl0_98 ),
inference(forward_demodulation,[status(thm)],[f7300,f174]) ).
thf(f174,plain,
( ( ( sK3 @ sK2 @ sK6 )
= $false )
| ~ spl0_6 ),
inference(avatar_component_clause,[status(thm)],[f172]) ).
thf(f7246,plain,
( ~ spl0_6
| ~ spl0_63
| ~ spl0_129 ),
inference(avatar_contradiction_clause,[status(thm)],[f7245]) ).
thf(f7245,plain,
( $false
| ~ spl0_6
| ~ spl0_63
| ~ spl0_129 ),
inference(trivial_inequality_removal,[status(thm)],[f7244]) ).
thf(f7244,plain,
( ( $false = $true )
| ~ spl0_6
| ~ spl0_63
| ~ spl0_129 ),
inference(forward_demodulation,[status(thm)],[f7243,f721]) ).
thf(f721,plain,
( ( ( sK3 @ sK8 @ sK6 )
= $false )
| ~ spl0_63 ),
inference(avatar_component_clause,[status(thm)],[f719]) ).
thf(f719,definition,
( spl0_63
<=> ( ( sK3 @ sK8 @ sK6 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_63])],[avatar_definition]) ).
thf(f7243,plain,
( ( ( sK3 @ sK8 @ sK6 )
= $true )
| ~ spl0_6
| ~ spl0_129 ),
inference(subsumption_resolution,[status(thm)],[f7242,f89]) ).
thf(f89,plain,
sK8 != sK6,
inference(equality_proxy_clausification,[status(thm)],[f88]) ).
thf(f88,plain,
( ( sK8 = sK6 )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f38]) ).
thf(f38,plain,
( ( sK8 != sK6 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f37]) ).
thf(f7242,plain,
( ( sK8 = sK6 )
| ( ( sK3 @ sK8 @ sK6 )
= $true )
| ~ spl0_6
| ~ spl0_129 ),
inference(subsumption_resolution,[status(thm)],[f7227,f87]) ).
thf(f7227,plain,
( ( sK6 = sK2 )
| ( sK8 = sK6 )
| ( ( sK3 @ sK8 @ sK6 )
= $true )
| ~ spl0_6
| ~ spl0_129 ),
inference(trivial_inequality_removal,[status(thm)],[f7226]) ).
thf(f7226,plain,
( ( $false = $true )
| ( ( sK3 @ sK8 @ sK6 )
= $true )
| ( sK8 = sK6 )
| ( sK6 = sK2 )
| ~ spl0_6
| ~ spl0_129 ),
inference(boolean_simplification,[status(thm)],[f7211]) ).
thf(f7211,plain,
( ( sK8 = sK6 )
| ( ( sK3 @ sK8 @ sK6 )
= $true )
| ( sK6 = sK2 )
| ( ( ~ $false ) = $false )
| ~ spl0_6
| ~ spl0_129 ),
inference(superposition,[status(thm)],[f6147,f174]) ).
thf(f6147,plain,
( ! [X0: $i] :
( ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( sK8 = X0 )
| ( sK2 = X0 )
| ( ( sK3 @ sK8 @ X0 )
= $true ) )
| ~ spl0_129 ),
inference(not_proxy_clausification,[status(thm)],[f3248]) ).
thf(f3248,plain,
( ! [X0: $i] :
( ( $false
= ( ~ ( sK3 @ sK8 @ X0 ) ) )
| ( sK2 = X0 )
| ( sK8 = X0 )
| ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false ) )
| ~ spl0_129 ),
inference(avatar_component_clause,[status(thm)],[f3247]) ).
thf(f7121,plain,
( spl0_21
| spl0_30
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[status(thm)],[f7120]) ).
thf(f7120,plain,
( $false
| spl0_21
| spl0_30
| ~ spl0_48 ),
inference(subsumption_resolution,[status(thm)],[f7119,f310]) ).
thf(f7119,plain,
( ( sK4 = sK7 )
| spl0_21
| spl0_30
| ~ spl0_48 ),
inference(subsumption_resolution,[status(thm)],[f7118,f85]) ).
thf(f7118,plain,
( ( sK8 = sK7 )
| ( sK4 = sK7 )
| spl0_21
| spl0_30
| ~ spl0_48 ),
inference(subsumption_resolution,[status(thm)],[f7062,f306]) ).
thf(f7062,plain,
( ( $false
= ( sK3 @ sK4 @ sK7 ) )
| ( sK8 = sK7 )
| ( sK4 = sK7 )
| spl0_21
| ~ spl0_48 ),
inference(trivial_inequality_removal,[status(thm)],[f7060]) ).
thf(f7060,plain,
( ( sK4 = sK7 )
| ( sK8 = sK7 )
| ( $false = $true )
| ( $false
= ( sK3 @ sK4 @ sK7 ) )
| spl0_21
| ~ spl0_48 ),
inference(superposition,[status(thm)],[f6822,f654]) ).
thf(f654,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK8 @ X0 )
= $false )
| ( sK4 = X0 )
| ( ( sK3 @ sK4 @ X0 )
= $false )
| ( sK8 = X0 ) )
| ~ spl0_48 ),
inference(avatar_component_clause,[status(thm)],[f653]) ).
thf(f653,definition,
( spl0_48
<=> ! [X0: $i] :
( ( ( sK3 @ sK8 @ X0 )
= $false )
| ( sK8 = X0 )
| ( sK4 = X0 )
| ( ( sK3 @ sK4 @ X0 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_48])],[avatar_definition]) ).
thf(f6822,plain,
( ( ( sK3 @ sK8 @ sK7 )
= $true )
| spl0_21 ),
inference(trivial_inequality_removal,[status(thm)],[f6820]) ).
thf(f6820,plain,
( ( ( sK3 @ sK8 @ sK7 )
= $true )
| ( $false != $false )
| spl0_21 ),
inference(superposition,[status(thm)],[f243,f58]) ).
thf(f7117,plain,
( spl0_30
| ~ spl0_48
| spl0_62 ),
inference(avatar_contradiction_clause,[status(thm)],[f7116]) ).
thf(f7116,plain,
( $false
| spl0_30
| ~ spl0_48
| spl0_62 ),
inference(subsumption_resolution,[status(thm)],[f7115,f306]) ).
thf(f7115,plain,
( ( $false
= ( sK3 @ sK4 @ sK7 ) )
| ~ spl0_48
| spl0_62 ),
inference(subsumption_resolution,[status(thm)],[f7114,f85]) ).
thf(f7114,plain,
( ( sK8 = sK7 )
| ( $false
= ( sK3 @ sK4 @ sK7 ) )
| ~ spl0_48
| spl0_62 ),
inference(subsumption_resolution,[status(thm)],[f7069,f310]) ).
thf(f7069,plain,
( ( sK4 = sK7 )
| ( sK8 = sK7 )
| ( $false
= ( sK3 @ sK4 @ sK7 ) )
| ~ spl0_48
| spl0_62 ),
inference(trivial_inequality_removal,[status(thm)],[f7061]) ).
thf(f7061,plain,
( ( sK8 = sK7 )
| ( $false
= ( sK3 @ sK4 @ sK7 ) )
| ( sK4 = sK7 )
| ( $false != $false )
| ~ spl0_48
| spl0_62 ),
inference(superposition,[status(thm)],[f715,f654]) ).
thf(f7113,plain,
( spl0_31
| ~ spl0_48
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[status(thm)],[f7112]) ).
thf(f7112,plain,
( $false
| spl0_31
| ~ spl0_48
| ~ spl0_134 ),
inference(subsumption_resolution,[status(thm)],[f7111,f83]) ).
thf(f7111,plain,
( ( sK8 = sK2 )
| spl0_31
| ~ spl0_48
| ~ spl0_134 ),
inference(subsumption_resolution,[status(thm)],[f7110,f91]) ).
thf(f7110,plain,
( ( sK4 = sK2 )
| ( sK8 = sK2 )
| spl0_31
| ~ spl0_48
| ~ spl0_134 ),
inference(subsumption_resolution,[status(thm)],[f7070,f332]) ).
thf(f7070,plain,
( ( ( sK3 @ sK4 @ sK2 )
= $false )
| ( sK8 = sK2 )
| ( sK4 = sK2 )
| ~ spl0_48
| ~ spl0_134 ),
inference(trivial_inequality_removal,[status(thm)],[f7050]) ).
thf(f7050,plain,
( ( sK4 = sK2 )
| ( ( sK3 @ sK4 @ sK2 )
= $false )
| ( sK8 = sK2 )
| ( $false = $true )
| ~ spl0_48
| ~ spl0_134 ),
inference(superposition,[status(thm)],[f654,f3419]) ).
thf(f3419,plain,
( ( ( sK3 @ sK8 @ sK2 )
= $true )
| ~ spl0_134 ),
inference(avatar_component_clause,[status(thm)],[f3417]) ).
thf(f3417,definition,
( spl0_134
<=> ( ( sK3 @ sK8 @ sK2 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_134])],[avatar_definition]) ).
thf(f7101,plain,
( spl0_31
| ~ spl0_48
| spl0_68 ),
inference(avatar_contradiction_clause,[status(thm)],[f7100]) ).
thf(f7100,plain,
( $false
| spl0_31
| ~ spl0_48
| spl0_68 ),
inference(subsumption_resolution,[status(thm)],[f7099,f83]) ).
thf(f7099,plain,
( ( sK8 = sK2 )
| spl0_31
| ~ spl0_48
| spl0_68 ),
inference(subsumption_resolution,[status(thm)],[f7098,f91]) ).
thf(f7098,plain,
( ( sK4 = sK2 )
| ( sK8 = sK2 )
| spl0_31
| ~ spl0_48
| spl0_68 ),
inference(subsumption_resolution,[status(thm)],[f7073,f332]) ).
thf(f7073,plain,
( ( ( sK3 @ sK4 @ sK2 )
= $false )
| ( sK4 = sK2 )
| ( sK8 = sK2 )
| ~ spl0_48
| spl0_68 ),
inference(trivial_inequality_removal,[status(thm)],[f7054]) ).
thf(f7054,plain,
( ( sK8 = sK2 )
| ( ( sK3 @ sK4 @ sK2 )
= $false )
| ( sK4 = sK2 )
| ( $false != $false )
| ~ spl0_48
| spl0_68 ),
inference(superposition,[status(thm)],[f745,f654]) ).
thf(f745,plain,
( ( ( sK3 @ sK8 @ sK2 )
!= $false )
| spl0_68 ),
inference(avatar_component_clause,[status(thm)],[f744]) ).
thf(f6838,plain,
( spl0_23
| ~ spl0_49
| spl0_62 ),
inference(avatar_contradiction_clause,[status(thm)],[f6837]) ).
thf(f6837,plain,
( $false
| spl0_23
| ~ spl0_49
| spl0_62 ),
inference(subsumption_resolution,[status(thm)],[f6836,f265]) ).
thf(f6836,plain,
( ( sK5 = sK7 )
| spl0_23
| ~ spl0_49
| spl0_62 ),
inference(subsumption_resolution,[status(thm)],[f6835,f85]) ).
thf(f6835,plain,
( ( sK8 = sK7 )
| ( sK5 = sK7 )
| spl0_23
| ~ spl0_49
| spl0_62 ),
inference(subsumption_resolution,[status(thm)],[f6829,f258]) ).
thf(f6829,plain,
( ( ( sK3 @ sK5 @ sK7 )
= $false )
| ( sK8 = sK7 )
| ( sK5 = sK7 )
| ~ spl0_49
| spl0_62 ),
inference(trivial_inequality_removal,[status(thm)],[f6826]) ).
thf(f6826,plain,
( ( $false != $false )
| ( sK5 = sK7 )
| ( sK8 = sK7 )
| ( ( sK3 @ sK5 @ sK7 )
= $false )
| ~ spl0_49
| spl0_62 ),
inference(superposition,[status(thm)],[f715,f658]) ).
thf(f658,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK8 @ X0 )
= $false )
| ( ( sK3 @ sK5 @ X0 )
= $false )
| ( sK8 = X0 )
| ( sK5 = X0 ) )
| ~ spl0_49 ),
inference(avatar_component_clause,[status(thm)],[f657]) ).
thf(f657,definition,
( spl0_49
<=> ! [X0: $i] :
( ( sK8 = X0 )
| ( ( sK3 @ sK5 @ X0 )
= $false )
| ( sK5 = X0 )
| ( ( sK3 @ sK8 @ X0 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_49])],[avatar_definition]) ).
thf(f6393,plain,
( spl0_102
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[status(thm)],[f6392]) ).
thf(f6392,plain,
( $false
| spl0_102
| ~ spl0_151 ),
inference(trivial_inequality_removal,[status(thm)],[f6391]) ).
thf(f6391,plain,
( ( $false != $false )
| spl0_102
| ~ spl0_151 ),
inference(boolean_simplification,[status(thm)],[f6390]) ).
thf(f6390,plain,
( ( ( ~ $true ) != $false )
| spl0_102
| ~ spl0_151 ),
inference(backward_demodulation,[status(thm)],[f2924,f6282]) ).
thf(f6282,plain,
( ( ( sK3 @ sK2 @ sK8 )
= $true )
| ~ spl0_151 ),
inference(avatar_component_clause,[status(thm)],[f6280]) ).
thf(f6280,definition,
( spl0_151
<=> ( ( sK3 @ sK2 @ sK8 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_151])],[avatar_definition]) ).
thf(f2924,plain,
( ( ( ~ ( sK3 @ sK2 @ sK8 ) )
!= $false )
| spl0_102 ),
inference(avatar_component_clause,[status(thm)],[f2923]) ).
thf(f2923,definition,
( spl0_102
<=> ( ( ~ ( sK3 @ sK2 @ sK8 ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_102])],[avatar_definition]) ).
thf(f6389,plain,
( spl0_151
| spl0_68 ),
inference(avatar_split_clause,[status(thm)],[f6387,f744,f6280]) ).
thf(f6387,plain,
( ( ( sK3 @ sK2 @ sK8 )
= $true )
| spl0_68 ),
inference(trivial_inequality_removal,[status(thm)],[f6385]) ).
thf(f6385,plain,
( ( $false != $false )
| ( ( sK3 @ sK2 @ sK8 )
= $true )
| spl0_68 ),
inference(superposition,[status(thm)],[f745,f58]) ).
thf(f6347,plain,
( spl0_12
| ~ spl0_15
| spl0_56 ),
inference(avatar_contradiction_clause,[status(thm)],[f6346]) ).
thf(f6346,plain,
( $false
| spl0_12
| ~ spl0_15
| spl0_56 ),
inference(subsumption_resolution,[status(thm)],[f6345,f687]) ).
thf(f687,plain,
( ( $false
!= ( sK3 @ sK6 @ sK5 ) )
| spl0_56 ),
inference(avatar_component_clause,[status(thm)],[f686]) ).
thf(f6345,plain,
( ( $false
= ( sK3 @ sK6 @ sK5 ) )
| spl0_12
| ~ spl0_15 ),
inference(subsumption_resolution,[status(thm)],[f6344,f95]) ).
thf(f6344,plain,
( ( sK5 = sK6 )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| spl0_12
| ~ spl0_15 ),
inference(subsumption_resolution,[status(thm)],[f6343,f75]) ).
thf(f75,plain,
sK6 != sK4,
inference(equality_proxy_clausification,[status(thm)],[f74]) ).
thf(f74,plain,
( ( sK6 = sK4 )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f24]) ).
thf(f24,plain,
( ( sK6 != sK4 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f23]) ).
thf(f6343,plain,
( ( sK6 = sK4 )
| ( sK5 = sK6 )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| spl0_12
| ~ spl0_15 ),
inference(trivial_inequality_removal,[status(thm)],[f6338]) ).
thf(f6338,plain,
( ( $false != $false )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( sK6 = sK4 )
| ( sK5 = sK6 )
| spl0_12
| ~ spl0_15 ),
inference(superposition,[status(thm)],[f197,f457]) ).
thf(f457,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK4 @ X0 )
= $false )
| ( sK5 = X0 )
| ( ( sK3 @ X0 @ sK5 )
= $false )
| ( sK4 = X0 ) )
| ~ spl0_15 ),
inference(equality_proxy_clausification,[status(thm)],[f452]) ).
thf(f452,plain,
( ! [X0: $i] :
( ( ( sK3 @ X0 @ sK5 )
= $false )
| ( ( sK4 = X0 )
= $true )
| ( ( sK3 @ sK4 @ X0 )
= $false )
| ( sK5 = X0 ) )
| ~ spl0_15 ),
inference(not_proxy_clausification,[status(thm)],[f353]) ).
thf(f353,plain,
( ! [X0: $i] :
( ( ( sK4 != X0 )
= $false )
| ( sK5 = X0 )
| ( ( sK3 @ sK4 @ X0 )
= $false )
| ( ( sK3 @ X0 @ sK5 )
= $false ) )
| ~ spl0_15 ),
inference(equality_proxy_clausification,[status(thm)],[f340]) ).
thf(f340,plain,
( ! [X0: $i] :
( ( ( sK5 = X0 )
= $true )
| ( ( sK4 != X0 )
= $false )
| ( ( sK3 @ X0 @ sK5 )
= $false )
| ( ( sK3 @ sK4 @ X0 )
= $false ) )
| ~ spl0_15 ),
inference(not_proxy_clausification,[status(thm)],[f211]) ).
thf(f211,plain,
( ! [X0: $i] :
( ( ( sK5 != X0 )
= $false )
| ( ( sK3 @ sK4 @ X0 )
= $false )
| ( ( sK3 @ X0 @ sK5 )
= $false )
| ( ( sK4 != X0 )
= $false ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[status(thm)],[f210]) ).
thf(f210,definition,
( spl0_15
<=> ! [X0: $i] :
( ( ( sK5 != X0 )
= $false )
| ( ( sK4 != X0 )
= $false )
| ( ( sK3 @ sK4 @ X0 )
= $false )
| ( ( sK3 @ X0 @ sK5 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_15])],[avatar_definition]) ).
thf(f197,plain,
( ( ( sK3 @ sK4 @ sK6 )
!= $false )
| spl0_12 ),
inference(avatar_component_clause,[status(thm)],[f196]) ).
thf(f196,definition,
( spl0_12
<=> ( ( sK3 @ sK4 @ sK6 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition]) ).
thf(f6326,plain,
( ~ spl0_52
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[status(thm)],[f6325]) ).
thf(f6325,plain,
( $false
| ~ spl0_52
| ~ spl0_92 ),
inference(trivial_inequality_removal,[status(thm)],[f6324]) ).
thf(f6324,plain,
( ( $false = $true )
| ~ spl0_52
| ~ spl0_92 ),
inference(boolean_simplification,[status(thm)],[f6323]) ).
thf(f6323,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_52
| ~ spl0_92 ),
inference(backward_demodulation,[status(thm)],[f1955,f670]) ).
thf(f670,plain,
( ( ( sK3 @ sK5 @ sK4 )
= $false )
| ~ spl0_52 ),
inference(avatar_component_clause,[status(thm)],[f668]) ).
thf(f668,definition,
( spl0_52
<=> ( ( sK3 @ sK5 @ sK4 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_52])],[avatar_definition]) ).
thf(f1955,plain,
( ( ( ~ ( sK3 @ sK5 @ sK4 ) )
= $false )
| ~ spl0_92 ),
inference(avatar_component_clause,[status(thm)],[f1953]) ).
thf(f1953,definition,
( spl0_92
<=> ( ( ~ ( sK3 @ sK5 @ sK4 ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_92])],[avatar_definition]) ).
thf(f6320,plain,
( ~ spl0_63
| ~ spl0_115 ),
inference(avatar_contradiction_clause,[status(thm)],[f6319]) ).
thf(f6319,plain,
( $false
| ~ spl0_63
| ~ spl0_115 ),
inference(trivial_inequality_removal,[status(thm)],[f6318]) ).
thf(f6318,plain,
( ( $false = $true )
| ~ spl0_63
| ~ spl0_115 ),
inference(boolean_simplification,[status(thm)],[f6317]) ).
thf(f6317,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_63
| ~ spl0_115 ),
inference(forward_demodulation,[status(thm)],[f3065,f721]) ).
thf(f3065,plain,
( ( $false
= ( ~ ( sK3 @ sK8 @ sK6 ) ) )
| ~ spl0_115 ),
inference(avatar_component_clause,[status(thm)],[f3063]) ).
thf(f3063,definition,
( spl0_115
<=> ( $false
= ( ~ ( sK3 @ sK8 @ sK6 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_115])],[avatar_definition]) ).
thf(f6304,plain,
( spl0_6
| spl0_33 ),
inference(avatar_split_clause,[status(thm)],[f4037,f417,f172]) ).
thf(f417,definition,
( spl0_33
<=> ! [X0: $i] :
( ( $false
= ( X0 != sK2 ) )
| ( ( sK3 @ X0 @ sK6 )
= $false )
| ( ( sK3 @ X0 @ sK2 )
= $false )
| ( sK6 = X0 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_33])],[avatar_definition]) ).
thf(f4037,plain,
! [X0: $i] :
( ( ( sK3 @ X0 @ sK6 )
= $false )
| ( $false
= ( X0 != sK2 ) )
| ( ( sK3 @ sK2 @ sK6 )
= $false )
| ( ( sK3 @ X0 @ sK2 )
= $false )
| ( sK6 = X0 ) ),
inference(trivial_inequality_removal,[status(thm)],[f4019]) ).
thf(f4019,plain,
! [X0: $i] :
( ( ( sK3 @ sK2 @ sK6 )
= $false )
| ( ( sK3 @ X0 @ sK6 )
= $false )
| ( $false = $true )
| ( $false
= ( X0 != sK2 ) )
| ( sK6 = X0 )
| ( ( sK3 @ X0 @ sK2 )
= $false ) ),
inference(superposition,[status(thm)],[f225,f36]) ).
thf(f6295,plain,
( spl0_56
| spl0_50
| ~ spl0_64 ),
inference(avatar_split_clause,[status(thm)],[f6294,f723,f660,f686]) ).
thf(f6294,plain,
( ( $false
= ( sK3 @ sK6 @ sK5 ) )
| spl0_50
| ~ spl0_64 ),
inference(subsumption_resolution,[status(thm)],[f6293,f286]) ).
thf(f6293,plain,
( ( sK8 = sK5 )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| spl0_50
| ~ spl0_64 ),
inference(subsumption_resolution,[status(thm)],[f6076,f95]) ).
thf(f6076,plain,
( ( sK5 = sK6 )
| ( sK8 = sK5 )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| spl0_50
| ~ spl0_64 ),
inference(trivial_inequality_removal,[status(thm)],[f6058]) ).
thf(f6058,plain,
( ( sK8 = sK5 )
| ( $false != $false )
| ( sK5 = sK6 )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| spl0_50
| ~ spl0_64 ),
inference(superposition,[status(thm)],[f661,f724]) ).
thf(f661,plain,
( ( ( sK3 @ sK8 @ sK5 )
!= $false )
| spl0_50 ),
inference(avatar_component_clause,[status(thm)],[f660]) ).
thf(f6292,plain,
( spl0_56
| spl0_134
| ~ spl0_2
| ~ spl0_64 ),
inference(avatar_split_clause,[status(thm)],[f6291,f723,f155,f3417,f686]) ).
thf(f6291,plain,
( ( ( sK3 @ sK8 @ sK2 )
= $true )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ~ spl0_2
| ~ spl0_64 ),
inference(subsumption_resolution,[status(thm)],[f6290,f95]) ).
thf(f6290,plain,
( ( ( sK3 @ sK8 @ sK2 )
= $true )
| ( sK5 = sK6 )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ~ spl0_2
| ~ spl0_64 ),
inference(subsumption_resolution,[status(thm)],[f6289,f83]) ).
thf(f6289,plain,
( ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( sK8 = sK2 )
| ( sK5 = sK6 )
| ( ( sK3 @ sK8 @ sK2 )
= $true )
| ~ spl0_2
| ~ spl0_64 ),
inference(subsumption_resolution,[status(thm)],[f6067,f286]) ).
thf(f6067,plain,
( ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( sK8 = sK5 )
| ( sK5 = sK6 )
| ( ( sK3 @ sK8 @ sK2 )
= $true )
| ( sK8 = sK2 )
| ~ spl0_2
| ~ spl0_64 ),
inference(trivial_inequality_removal,[status(thm)],[f6066]) ).
thf(f6066,plain,
( ( ( sK3 @ sK8 @ sK2 )
= $true )
| ( sK8 = sK2 )
| ( sK5 = sK6 )
| ( sK8 = sK5 )
| ( $false = $true )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ~ spl0_2
| ~ spl0_64 ),
inference(boolean_simplification,[status(thm)],[f6065]) ).
thf(f6065,plain,
( ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( sK5 = sK6 )
| ( sK8 = sK5 )
| ( ( sK3 @ sK8 @ sK2 )
= $true )
| ( ( ~ $false ) = $false )
| ( sK8 = sK2 )
| ~ spl0_2
| ~ spl0_64 ),
inference(duplicate_literal_removal,[status(thm)],[f6060]) ).
thf(f6060,plain,
( ( sK8 = sK5 )
| ( sK8 = sK5 )
| ( ( ~ $false ) = $false )
| ( sK8 = sK2 )
| ( sK5 = sK6 )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( ( sK3 @ sK8 @ sK2 )
= $true )
| ~ spl0_2
| ~ spl0_64 ),
inference(superposition,[status(thm)],[f5191,f724]) ).
thf(f5191,plain,
( ! [X0: $i] :
( ( ( ~ ( sK3 @ X0 @ sK5 ) )
= $false )
| ( ( sK3 @ X0 @ sK2 )
= $true )
| ( sK5 = X0 )
| ( sK2 = X0 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f5190]) ).
thf(f5190,plain,
( ! [X0: $i] :
( ( sK2 = X0 )
| ( ( sK3 @ X0 @ sK2 )
= $true )
| ( $false = $true )
| ( ( ~ ( sK3 @ X0 @ sK5 ) )
= $false )
| ( sK5 = X0 ) )
| ~ spl0_2 ),
inference(boolean_simplification,[status(thm)],[f5185]) ).
thf(f5185,plain,
( ! [X0: $i] :
( ( ( sK3 @ X0 @ sK2 )
= $true )
| ( sK5 = X0 )
| ( ( ~ $false ) = $false )
| ( ( ~ ( sK3 @ X0 @ sK5 ) )
= $false )
| ( sK2 = X0 ) )
| ~ spl0_2 ),
inference(superposition,[status(thm)],[f2355,f58]) ).
thf(f2355,plain,
( ! [X0: $i] :
( ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( sK2 = X0 )
| ( sK5 = X0 )
| ( ( ~ ( sK3 @ X0 @ sK5 ) )
= $false ) )
| ~ spl0_2 ),
inference(subsumption_resolution,[status(thm)],[f2336,f77]) ).
thf(f2336,plain,
( ! [X0: $i] :
( ( sK5 = sK2 )
| ( ( ~ ( sK3 @ X0 @ sK5 ) )
= $false )
| ( sK2 = X0 )
| ( sK5 = X0 )
| ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f2335]) ).
thf(f2335,plain,
( ! [X0: $i] :
( ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( $false = $true )
| ( ( ~ ( sK3 @ X0 @ sK5 ) )
= $false )
| ( sK5 = X0 )
| ( sK2 = X0 )
| ( sK5 = sK2 ) )
| ~ spl0_2 ),
inference(boolean_simplification,[status(thm)],[f2218]) ).
thf(f2218,plain,
( ! [X0: $i] :
( ( sK5 = sK2 )
| ( sK5 = X0 )
| ( ( ~ ( sK3 @ X0 @ sK5 ) )
= $false )
| ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( sK2 = X0 )
| ( ( ~ $false ) = $false ) )
| ~ spl0_2 ),
inference(superposition,[status(thm)],[f1795,f157]) ).
thf(f157,plain,
( ( ( sK3 @ sK2 @ sK5 )
= $false )
| ~ spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f155]) ).
thf(f1795,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ~ ( sK3 @ X2 @ X3 ) )
= $false )
| ( ( ~ ( sK3 @ X2 @ X1 ) )
= $false )
| ( ( ~ ( sK3 @ X1 @ X3 ) )
= $false )
| ( X2 = X3 )
| ( X1 = X2 )
| ( X1 = X3 ) ),
inference(equality_proxy_clausification,[status(thm)],[f1722]) ).
thf(f1722,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( X2 = X3 )
| ( ( ~ ( sK3 @ X1 @ X3 ) )
= $false )
| ( ( ~ ( sK3 @ X2 @ X3 ) )
= $false )
| ( ( ~ ( sK3 @ X2 @ X1 ) )
= $false )
| ( ( X2 = X1 )
= $true )
| ( X1 = X3 ) ),
inference(not_proxy_clausification,[status(thm)],[f1328]) ).
thf(f6245,plain,
( ~ spl0_66
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[status(thm)],[f6244]) ).
thf(f6244,plain,
( $false
| ~ spl0_66
| ~ spl0_148 ),
inference(trivial_inequality_removal,[status(thm)],[f6243]) ).
thf(f6243,plain,
( ( $false = $true )
| ~ spl0_66
| ~ spl0_148 ),
inference(boolean_simplification,[status(thm)],[f6242]) ).
thf(f6242,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_66
| ~ spl0_148 ),
inference(backward_demodulation,[status(thm)],[f4675,f734]) ).
thf(f734,plain,
( ( $false
= ( sK3 @ sK6 @ sK4 ) )
| ~ spl0_66 ),
inference(avatar_component_clause,[status(thm)],[f732]) ).
thf(f732,definition,
( spl0_66
<=> ( $false
= ( sK3 @ sK6 @ sK4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_66])],[avatar_definition]) ).
thf(f4675,plain,
( ( ( ~ ( sK3 @ sK6 @ sK4 ) )
= $false )
| ~ spl0_148 ),
inference(avatar_component_clause,[status(thm)],[f4673]) ).
thf(f4673,definition,
( spl0_148
<=> ( ( ~ ( sK3 @ sK6 @ sK4 ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_148])],[avatar_definition]) ).
thf(f6241,plain,
( spl0_31
| spl0_41
| ~ spl0_60 ),
inference(avatar_split_clause,[status(thm)],[f6240,f707,f623,f331]) ).
thf(f623,definition,
( spl0_41
<=> ( ( sK3 @ sK7 @ sK2 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_41])],[avatar_definition]) ).
thf(f707,definition,
( spl0_60
<=> ! [X0: $i] :
( ( ( sK3 @ sK4 @ X0 )
= $false )
| ( sK4 = X0 )
| ( sK7 = X0 )
| ( ( sK3 @ sK7 @ X0 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_60])],[avatar_definition]) ).
thf(f6240,plain,
( ( ( sK3 @ sK4 @ sK2 )
= $false )
| spl0_41
| ~ spl0_60 ),
inference(subsumption_resolution,[status(thm)],[f6239,f79]) ).
thf(f6239,plain,
( ( ( sK3 @ sK4 @ sK2 )
= $false )
| ( sK2 = sK7 )
| spl0_41
| ~ spl0_60 ),
inference(subsumption_resolution,[status(thm)],[f6137,f91]) ).
thf(f6137,plain,
( ( sK4 = sK2 )
| ( sK2 = sK7 )
| ( ( sK3 @ sK4 @ sK2 )
= $false )
| spl0_41
| ~ spl0_60 ),
inference(trivial_inequality_removal,[status(thm)],[f6116]) ).
thf(f6116,plain,
( ( ( sK3 @ sK4 @ sK2 )
= $false )
| ( $false != $false )
| ( sK2 = sK7 )
| ( sK4 = sK2 )
| spl0_41
| ~ spl0_60 ),
inference(superposition,[status(thm)],[f624,f708]) ).
thf(f708,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK7 @ X0 )
= $false )
| ( sK4 = X0 )
| ( ( sK3 @ sK4 @ X0 )
= $false )
| ( sK7 = X0 ) )
| ~ spl0_60 ),
inference(avatar_component_clause,[status(thm)],[f707]) ).
thf(f624,plain,
( ( ( sK3 @ sK7 @ sK2 )
!= $false )
| spl0_41 ),
inference(avatar_component_clause,[status(thm)],[f623]) ).
thf(f6221,plain,
( spl0_107
| ~ spl0_47
| ~ spl0_129 ),
inference(avatar_split_clause,[status(thm)],[f6192,f3247,f649,f2976]) ).
thf(f2976,definition,
( spl0_107
<=> ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_107])],[avatar_definition]) ).
thf(f649,definition,
( spl0_47
<=> ( ( sK3 @ sK8 @ sK4 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_47])],[avatar_definition]) ).
thf(f6192,plain,
( ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ~ spl0_47
| ~ spl0_129 ),
inference(subsumption_resolution,[status(thm)],[f6191,f93]) ).
thf(f6191,plain,
( ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( sK8 = sK4 )
| ~ spl0_47
| ~ spl0_129 ),
inference(subsumption_resolution,[status(thm)],[f6183,f91]) ).
thf(f6183,plain,
( ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( sK4 = sK2 )
| ( sK8 = sK4 )
| ~ spl0_47
| ~ spl0_129 ),
inference(trivial_inequality_removal,[status(thm)],[f6182]) ).
thf(f6182,plain,
( ( sK8 = sK4 )
| ( $false = $true )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( sK4 = sK2 )
| ~ spl0_47
| ~ spl0_129 ),
inference(boolean_simplification,[status(thm)],[f6151]) ).
thf(f6151,plain,
( ( sK4 = sK2 )
| ( ( ~ $false ) = $false )
| ( sK8 = sK4 )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ~ spl0_47
| ~ spl0_129 ),
inference(superposition,[status(thm)],[f3248,f651]) ).
thf(f651,plain,
( ( ( sK3 @ sK8 @ sK4 )
= $false )
| ~ spl0_47 ),
inference(avatar_component_clause,[status(thm)],[f649]) ).
thf(f6215,plain,
( spl0_18
| spl0_17
| spl0_32 ),
inference(avatar_split_clause,[status(thm)],[f1071,f335,f218,f221]) ).
thf(f221,definition,
( spl0_18
<=> ( ( sK3 @ sK2 @ sK4 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_18])],[avatar_definition]) ).
thf(f218,definition,
( spl0_17
<=> ! [X0: $i] :
( ( ( sK3 @ sK2 @ X0 )
= $false )
| ( ( sK2 != X0 )
= $false )
| ( ( sK3 @ X0 @ sK4 )
= $false )
| ( ( sK4 != X0 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_17])],[avatar_definition]) ).
thf(f335,definition,
( spl0_32
<=> ( ( sK4 != sK2 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_32])],[avatar_definition]) ).
thf(f1071,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK2 @ X0 )
= $false )
| ( ( sK3 @ X0 @ sK4 )
= $false )
| ( ( sK4 != X0 )
= $false )
| ( ( sK3 @ sK2 @ sK4 )
= $false )
| ( ( sK2 != X0 )
= $false ) )
| spl0_32 ),
inference(trivial_inequality_removal,[status(thm)],[f1061]) ).
thf(f1061,plain,
( ! [X0: $i] :
( ( ( sK3 @ X0 @ sK4 )
= $false )
| ( ( sK3 @ sK2 @ X0 )
= $false )
| ( ( sK4 != X0 )
= $false )
| ( ( sK3 @ sK2 @ sK4 )
= $false )
| ( ( sK2 != X0 )
= $false )
| ( $false != $false ) )
| spl0_32 ),
inference(superposition,[status(thm)],[f336,f73]) ).
thf(f336,plain,
( ( ( sK4 != sK2 )
!= $false )
| spl0_32 ),
inference(avatar_component_clause,[status(thm)],[f335]) ).
thf(f6211,plain,
( spl0_107
| ~ spl0_34
| ~ spl0_45
| ~ spl0_68
| ~ spl0_129 ),
inference(avatar_split_clause,[status(thm)],[f6206,f3247,f744,f641,f421,f2976]) ).
thf(f421,definition,
( spl0_34
<=> ! [X0: $i] :
( ( sK5 = X0 )
| ( ( X0 != sK4 )
= $false )
| ( ( sK3 @ X0 @ sK5 )
= $false )
| ( ( sK3 @ X0 @ sK4 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_34])],[avatar_definition]) ).
thf(f6206,plain,
( ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ~ spl0_34
| ~ spl0_45
| ~ spl0_68
| ~ spl0_129 ),
inference(trivial_inequality_removal,[status(thm)],[f6205]) ).
thf(f6205,plain,
( ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( $false = $true )
| ~ spl0_34
| ~ spl0_45
| ~ spl0_68
| ~ spl0_129 ),
inference(forward_demodulation,[status(thm)],[f6204,f746]) ).
thf(f6204,plain,
( ( ( sK3 @ sK8 @ sK2 )
= $true )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ~ spl0_34
| ~ spl0_45
| ~ spl0_129 ),
inference(subsumption_resolution,[status(thm)],[f6203,f91]) ).
thf(f6203,plain,
( ( sK4 = sK2 )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( ( sK3 @ sK8 @ sK2 )
= $true )
| ~ spl0_34
| ~ spl0_45
| ~ spl0_129 ),
inference(subsumption_resolution,[status(thm)],[f6202,f286]) ).
thf(f6202,plain,
( ( sK8 = sK5 )
| ( ( sK3 @ sK8 @ sK2 )
= $true )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( sK4 = sK2 )
| ~ spl0_34
| ~ spl0_45
| ~ spl0_129 ),
inference(subsumption_resolution,[status(thm)],[f6201,f93]) ).
thf(f6201,plain,
( ( sK8 = sK4 )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( ( sK3 @ sK8 @ sK2 )
= $true )
| ( sK8 = sK5 )
| ( sK4 = sK2 )
| ~ spl0_34
| ~ spl0_45
| ~ spl0_129 ),
inference(subsumption_resolution,[status(thm)],[f6163,f83]) ).
thf(f6163,plain,
( ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( sK8 = sK2 )
| ( sK8 = sK4 )
| ( sK8 = sK5 )
| ( sK4 = sK2 )
| ( ( sK3 @ sK8 @ sK2 )
= $true )
| ~ spl0_34
| ~ spl0_45
| ~ spl0_129 ),
inference(trivial_inequality_removal,[status(thm)],[f6162]) ).
thf(f6162,plain,
( ( $false = $true )
| ( ( sK3 @ sK8 @ sK2 )
= $true )
| ( sK8 = sK2 )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( sK8 = sK4 )
| ( sK8 = sK5 )
| ( sK4 = sK2 )
| ~ spl0_34
| ~ spl0_45
| ~ spl0_129 ),
inference(boolean_simplification,[status(thm)],[f6161]) ).
thf(f6161,plain,
( ( sK8 = sK5 )
| ( sK8 = sK4 )
| ( ( sK3 @ sK8 @ sK2 )
= $true )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( ( ~ $false ) = $false )
| ( sK8 = sK2 )
| ( sK4 = sK2 )
| ~ spl0_34
| ~ spl0_45
| ~ spl0_129 ),
inference(duplicate_literal_removal,[status(thm)],[f6157]) ).
thf(f6157,plain,
( ( sK8 = sK5 )
| ( sK4 = sK2 )
| ( sK8 = sK2 )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( sK8 = sK4 )
| ( ( ~ $false ) = $false )
| ( sK8 = sK4 )
| ( ( sK3 @ sK8 @ sK2 )
= $true )
| ~ spl0_34
| ~ spl0_45
| ~ spl0_129 ),
inference(superposition,[status(thm)],[f3248,f2626]) ).
thf(f2626,plain,
( ! [X0: $i] :
( ( ( sK3 @ X0 @ sK4 )
= $false )
| ( sK2 = X0 )
| ( sK5 = X0 )
| ( sK4 = X0 )
| ( ( sK3 @ X0 @ sK2 )
= $true ) )
| ~ spl0_34
| ~ spl0_45 ),
inference(trivial_inequality_removal,[status(thm)],[f2625]) ).
thf(f2625,plain,
( ! [X0: $i] :
( ( sK4 = X0 )
| ( sK5 = X0 )
| ( $false = $true )
| ( sK2 = X0 )
| ( ( sK3 @ X0 @ sK2 )
= $true )
| ( ( sK3 @ X0 @ sK4 )
= $false ) )
| ~ spl0_34
| ~ spl0_45 ),
inference(duplicate_literal_removal,[status(thm)],[f2549]) ).
thf(f2549,plain,
( ! [X0: $i] :
( ( sK4 = X0 )
| ( sK2 = X0 )
| ( sK5 = X0 )
| ( ( sK3 @ X0 @ sK4 )
= $false )
| ( ( sK3 @ X0 @ sK2 )
= $true )
| ( sK5 = X0 )
| ( $false = $true ) )
| ~ spl0_34
| ~ spl0_45 ),
inference(superposition,[status(thm)],[f2513,f1383]) ).
thf(f1383,plain,
( ! [X0: $i] :
( ( ( sK3 @ X0 @ sK5 )
= $false )
| ( sK4 = X0 )
| ( sK5 = X0 )
| ( ( sK3 @ X0 @ sK4 )
= $false ) )
| ~ spl0_34 ),
inference(equality_proxy_clausification,[status(thm)],[f1366]) ).
thf(f1366,plain,
( ! [X0: $i] :
( ( ( sK3 @ X0 @ sK5 )
= $false )
| ( sK5 = X0 )
| ( ( sK3 @ X0 @ sK4 )
= $false )
| ( ( X0 = sK4 )
= $true ) )
| ~ spl0_34 ),
inference(not_proxy_clausification,[status(thm)],[f422]) ).
thf(f422,plain,
( ! [X0: $i] :
( ( ( X0 != sK4 )
= $false )
| ( ( sK3 @ X0 @ sK5 )
= $false )
| ( ( sK3 @ X0 @ sK4 )
= $false )
| ( sK5 = X0 ) )
| ~ spl0_34 ),
inference(avatar_component_clause,[status(thm)],[f421]) ).
thf(f2513,plain,
( ! [X0: $i] :
( ( ( sK3 @ X0 @ sK5 )
= $true )
| ( sK2 = X0 )
| ( ( sK3 @ X0 @ sK2 )
= $true )
| ( sK5 = X0 ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[status(thm)],[f2493]) ).
thf(f2493,plain,
( ! [X0: $i] :
( ( ( sK3 @ X0 @ sK5 )
= $true )
| ( sK5 = X0 )
| ( $false = $true )
| ( ( sK3 @ X0 @ sK2 )
= $true )
| ( sK2 = X0 ) )
| ~ spl0_45 ),
inference(superposition,[status(thm)],[f58,f2426]) ).
thf(f2426,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK5 @ X0 )
= $true )
| ( sK2 = X0 )
| ( ( sK3 @ X0 @ sK2 )
= $true )
| ( sK5 = X0 ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[status(thm)],[f2425]) ).
thf(f2425,plain,
( ! [X0: $i] :
( ( sK5 = X0 )
| ( sK2 = X0 )
| ( ( sK3 @ X0 @ sK2 )
= $true )
| ( ( sK3 @ sK5 @ X0 )
= $true )
| ( $false = $true ) )
| ~ spl0_45 ),
inference(boolean_simplification,[status(thm)],[f2423]) ).
thf(f2423,plain,
( ! [X0: $i] :
( ( ( sK3 @ X0 @ sK2 )
= $true )
| ( sK5 = X0 )
| ( ( sK3 @ sK5 @ X0 )
= $true )
| ( sK2 = X0 )
| ( ( ~ $false ) = $false ) )
| ~ spl0_45 ),
inference(superposition,[status(thm)],[f2085,f58]) ).
thf(f2085,plain,
( ! [X0: $i] :
( ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( sK5 = X0 )
| ( sK2 = X0 )
| ( ( sK3 @ sK5 @ X0 )
= $true ) )
| ~ spl0_45 ),
inference(not_proxy_clausification,[status(thm)],[f1849]) ).
thf(f1849,plain,
( ! [X0: $i] :
( ( ( ~ ( sK3 @ sK5 @ X0 ) )
= $false )
| ( sK5 = X0 )
| ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( sK2 = X0 ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[status(thm)],[f1848]) ).
thf(f1848,plain,
( ! [X0: $i] :
( ( $false = $true )
| ( sK5 = X0 )
| ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( ( ~ ( sK3 @ sK5 @ X0 ) )
= $false )
| ( sK2 = X0 ) )
| ~ spl0_45 ),
inference(boolean_simplification,[status(thm)],[f1847]) ).
thf(f1847,plain,
( ! [X0: $i] :
( ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( sK2 = X0 )
| ( sK5 = X0 )
| ( ( ~ ( sK3 @ sK5 @ X0 ) )
= $false )
| ( ( ~ $false ) = $false ) )
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f1762,f643]) ).
thf(f643,plain,
( ( ( sK3 @ sK5 @ sK2 )
= $false )
| ~ spl0_45 ),
inference(avatar_component_clause,[status(thm)],[f641]) ).
thf(f1762,plain,
! [X0: $i] :
( ( sK5 = X0 )
| ( sK2 = X0 )
| ( ( ~ ( sK3 @ sK5 @ sK2 ) )
= $false )
| ( ( ~ ( sK3 @ sK5 @ X0 ) )
= $false )
| ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f1724]) ).
thf(f1724,plain,
! [X0: $i] :
( ( ( ~ ( sK3 @ sK5 @ X0 ) )
= $false )
| ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( $false = $true )
| ( sK5 = X0 )
| ( ( ~ ( sK3 @ sK5 @ sK2 ) )
= $false )
| ( sK2 = X0 ) ),
inference(superposition,[status(thm)],[f1328,f26]) ).
thf(f6196,plain,
( ~ spl0_18
| ~ spl0_47
| ~ spl0_129 ),
inference(avatar_contradiction_clause,[status(thm)],[f6195]) ).
thf(f6195,plain,
( $false
| ~ spl0_18
| ~ spl0_47
| ~ spl0_129 ),
inference(trivial_inequality_removal,[status(thm)],[f6194]) ).
thf(f6194,plain,
( ( $false = $true )
| ~ spl0_18
| ~ spl0_47
| ~ spl0_129 ),
inference(boolean_simplification,[status(thm)],[f6193]) ).
thf(f6193,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_18
| ~ spl0_47
| ~ spl0_129 ),
inference(forward_demodulation,[status(thm)],[f6192,f223]) ).
thf(f223,plain,
( ( ( sK3 @ sK2 @ sK4 )
= $false )
| ~ spl0_18 ),
inference(avatar_component_clause,[status(thm)],[f221]) ).
thf(f6011,plain,
( spl0_59
| spl0_125 ),
inference(avatar_contradiction_clause,[status(thm)],[f6010]) ).
thf(f6010,plain,
( $false
| spl0_59
| spl0_125 ),
inference(trivial_inequality_removal,[status(thm)],[f6009]) ).
thf(f6009,plain,
( ( $false != $false )
| spl0_59
| spl0_125 ),
inference(boolean_simplification,[status(thm)],[f6008]) ).
thf(f6008,plain,
( ( ( ~ $true ) != $false )
| spl0_59
| spl0_125 ),
inference(backward_demodulation,[status(thm)],[f3231,f6000]) ).
thf(f6000,plain,
( ( ( sK3 @ sK4 @ sK7 )
= $true )
| spl0_59 ),
inference(trivial_inequality_removal,[status(thm)],[f5998]) ).
thf(f5998,plain,
( ( $false != $false )
| ( ( sK3 @ sK4 @ sK7 )
= $true )
| spl0_59 ),
inference(superposition,[status(thm)],[f704,f58]) ).
thf(f3231,plain,
( ( ( ~ ( sK3 @ sK4 @ sK7 ) )
!= $false )
| spl0_125 ),
inference(avatar_component_clause,[status(thm)],[f3230]) ).
thf(f3230,definition,
( spl0_125
<=> ( ( ~ ( sK3 @ sK4 @ sK7 ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_125])],[avatar_definition]) ).
thf(f5979,plain,
( spl0_60
| spl0_30 ),
inference(avatar_split_clause,[status(thm)],[f5978,f305,f707]) ).
thf(f5978,plain,
( ! [X0: $i] :
( ( sK4 = X0 )
| ( ( sK3 @ sK4 @ X0 )
= $false )
| ( ( sK3 @ sK7 @ X0 )
= $false )
| ( sK7 = X0 ) )
| spl0_30 ),
inference(subsumption_resolution,[status(thm)],[f5970,f310]) ).
thf(f5970,plain,
( ! [X0: $i] :
( ( sK4 = X0 )
| ( ( sK3 @ sK4 @ X0 )
= $false )
| ( ( sK3 @ sK7 @ X0 )
= $false )
| ( sK4 = sK7 )
| ( sK7 = X0 ) )
| spl0_30 ),
inference(trivial_inequality_removal,[status(thm)],[f5968]) ).
thf(f5968,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK4 @ X0 )
= $false )
| ( sK7 = X0 )
| ( ( sK3 @ sK7 @ X0 )
= $false )
| ( sK4 = sK7 )
| ( $false != $false )
| ( sK4 = X0 ) )
| spl0_30 ),
inference(superposition,[status(thm)],[f306,f680]) ).
thf(f5977,plain,
( spl0_30
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[status(thm)],[f5976]) ).
thf(f5976,plain,
( $false
| spl0_30
| ~ spl0_59 ),
inference(trivial_inequality_removal,[status(thm)],[f5975]) ).
thf(f5975,plain,
( ( $false = $true )
| spl0_30
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f5973,f705]) ).
thf(f705,plain,
( ( $false
= ( sK3 @ sK7 @ sK4 ) )
| ~ spl0_59 ),
inference(avatar_component_clause,[status(thm)],[f703]) ).
thf(f5973,plain,
( ( ( sK3 @ sK7 @ sK4 )
= $true )
| spl0_30 ),
inference(trivial_inequality_removal,[status(thm)],[f5969]) ).
thf(f5969,plain,
( ( $false != $false )
| ( ( sK3 @ sK7 @ sK4 )
= $true )
| spl0_30 ),
inference(superposition,[status(thm)],[f306,f58]) ).
thf(f5762,plain,
( ~ spl0_20
| ~ spl0_102 ),
inference(avatar_contradiction_clause,[status(thm)],[f5761]) ).
thf(f5761,plain,
( $false
| ~ spl0_20
| ~ spl0_102 ),
inference(trivial_inequality_removal,[status(thm)],[f5760]) ).
thf(f5760,plain,
( ( $false = $true )
| ~ spl0_20
| ~ spl0_102 ),
inference(boolean_simplification,[status(thm)],[f5759]) ).
thf(f5759,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_20
| ~ spl0_102 ),
inference(backward_demodulation,[status(thm)],[f2925,f237]) ).
thf(f237,plain,
( ( $false
= ( sK3 @ sK2 @ sK8 ) )
| ~ spl0_20 ),
inference(avatar_component_clause,[status(thm)],[f235]) ).
thf(f2925,plain,
( ( ( ~ ( sK3 @ sK2 @ sK8 ) )
= $false )
| ~ spl0_102 ),
inference(avatar_component_clause,[status(thm)],[f2923]) ).
thf(f5758,plain,
( ~ spl0_62
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[status(thm)],[f5757]) ).
thf(f5757,plain,
( $false
| ~ spl0_62
| ~ spl0_84 ),
inference(trivial_inequality_removal,[status(thm)],[f5756]) ).
thf(f5756,plain,
( ( $false = $true )
| ~ spl0_62
| ~ spl0_84 ),
inference(boolean_simplification,[status(thm)],[f5755]) ).
thf(f5755,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_62
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f1824,f716]) ).
thf(f716,plain,
( ( $false
= ( sK3 @ sK8 @ sK7 ) )
| ~ spl0_62 ),
inference(avatar_component_clause,[status(thm)],[f714]) ).
thf(f1824,plain,
( ( ( ~ ( sK3 @ sK8 @ sK7 ) )
= $false )
| ~ spl0_84 ),
inference(avatar_component_clause,[status(thm)],[f1822]) ).
thf(f5748,plain,
( ~ spl0_58
| ~ spl0_63
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[status(thm)],[f5747]) ).
thf(f5747,plain,
( $false
| ~ spl0_58
| ~ spl0_63
| ~ spl0_83 ),
inference(trivial_inequality_removal,[status(thm)],[f5746]) ).
thf(f5746,plain,
( ( $false = $true )
| ~ spl0_58
| ~ spl0_63
| ~ spl0_83 ),
inference(boolean_simplification,[status(thm)],[f5745]) ).
thf(f5745,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_58
| ~ spl0_63
| ~ spl0_83 ),
inference(forward_demodulation,[status(thm)],[f5744,f699]) ).
thf(f5744,plain,
( ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ~ spl0_63
| ~ spl0_83 ),
inference(subsumption_resolution,[status(thm)],[f5743,f89]) ).
thf(f5743,plain,
( ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ( sK8 = sK6 )
| ~ spl0_63
| ~ spl0_83 ),
inference(subsumption_resolution,[status(thm)],[f5708,f279]) ).
thf(f5708,plain,
( ( sK6 = sK7 )
| ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ( sK8 = sK6 )
| ~ spl0_63
| ~ spl0_83 ),
inference(trivial_inequality_removal,[status(thm)],[f5707]) ).
thf(f5707,plain,
( ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ( sK6 = sK7 )
| ( sK8 = sK6 )
| ( $false = $true )
| ~ spl0_63
| ~ spl0_83 ),
inference(boolean_simplification,[status(thm)],[f5693]) ).
thf(f5693,plain,
( ( sK8 = sK6 )
| ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ( ( ~ $false ) = $false )
| ( sK6 = sK7 )
| ~ spl0_63
| ~ spl0_83 ),
inference(superposition,[status(thm)],[f1820,f721]) ).
thf(f1820,plain,
( ! [X0: $i] :
( ( $false
= ( ~ ( sK3 @ sK8 @ X0 ) ) )
| ( sK7 = X0 )
| ( ( ~ ( sK3 @ sK7 @ X0 ) )
= $false )
| ( sK8 = X0 ) )
| ~ spl0_83 ),
inference(avatar_component_clause,[status(thm)],[f1819]) ).
thf(f1819,definition,
( spl0_83
<=> ! [X0: $i] :
( ( sK8 = X0 )
| ( $false
= ( ~ ( sK3 @ sK8 @ X0 ) ) )
| ( ( ~ ( sK3 @ sK7 @ X0 ) )
= $false )
| ( sK7 = X0 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_83])],[avatar_definition]) ).
thf(f5738,plain,
( spl0_47
| ~ spl0_58
| ~ spl0_71
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[status(thm)],[f5737]) ).
thf(f5737,plain,
( $false
| spl0_47
| ~ spl0_58
| ~ spl0_71
| ~ spl0_83 ),
inference(trivial_inequality_removal,[status(thm)],[f5736]) ).
thf(f5736,plain,
( ( $false = $true )
| spl0_47
| ~ spl0_58
| ~ spl0_71
| ~ spl0_83 ),
inference(boolean_simplification,[status(thm)],[f5735]) ).
thf(f5735,plain,
( ( ( ~ $false ) = $false )
| spl0_47
| ~ spl0_58
| ~ spl0_71
| ~ spl0_83 ),
inference(forward_demodulation,[status(thm)],[f5734,f699]) ).
thf(f5734,plain,
( ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| spl0_47
| ~ spl0_71
| ~ spl0_83 ),
inference(subsumption_resolution,[status(thm)],[f5733,f650]) ).
thf(f650,plain,
( ( ( sK3 @ sK8 @ sK4 )
!= $false )
| spl0_47 ),
inference(avatar_component_clause,[status(thm)],[f649]) ).
thf(f5733,plain,
( ( ( sK3 @ sK8 @ sK4 )
= $false )
| ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ~ spl0_71
| ~ spl0_83 ),
inference(subsumption_resolution,[status(thm)],[f5732,f279]) ).
thf(f5732,plain,
( ( sK6 = sK7 )
| ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ( ( sK3 @ sK8 @ sK4 )
= $false )
| ~ spl0_71
| ~ spl0_83 ),
inference(subsumption_resolution,[status(thm)],[f5731,f93]) ).
thf(f5731,plain,
( ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ( sK8 = sK4 )
| ( ( sK3 @ sK8 @ sK4 )
= $false )
| ( sK6 = sK7 )
| ~ spl0_71
| ~ spl0_83 ),
inference(subsumption_resolution,[status(thm)],[f5720,f89]) ).
thf(f5720,plain,
( ( sK8 = sK6 )
| ( ( sK3 @ sK8 @ sK4 )
= $false )
| ( sK6 = sK7 )
| ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ( sK8 = sK4 )
| ~ spl0_71
| ~ spl0_83 ),
inference(trivial_inequality_removal,[status(thm)],[f5719]) ).
thf(f5719,plain,
( ( sK8 = sK6 )
| ( sK8 = sK4 )
| ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ( ( sK3 @ sK8 @ sK4 )
= $false )
| ( $false = $true )
| ( sK6 = sK7 )
| ~ spl0_71
| ~ spl0_83 ),
inference(boolean_simplification,[status(thm)],[f5718]) ).
thf(f5718,plain,
( ( ( ~ $false ) = $false )
| ( sK8 = sK4 )
| ( sK6 = sK7 )
| ( ( sK3 @ sK8 @ sK4 )
= $false )
| ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ( sK8 = sK6 )
| ~ spl0_71
| ~ spl0_83 ),
inference(duplicate_literal_removal,[status(thm)],[f5700]) ).
thf(f5700,plain,
( ( sK8 = sK6 )
| ( ( sK3 @ sK8 @ sK4 )
= $false )
| ( sK6 = sK7 )
| ( sK8 = sK6 )
| ( sK8 = sK4 )
| ( ( ~ $false ) = $false )
| ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ~ spl0_71
| ~ spl0_83 ),
inference(superposition,[status(thm)],[f1820,f5398]) ).
thf(f5398,plain,
( ! [X0: $i] :
( ( ( sK3 @ X0 @ sK6 )
= $false )
| ( sK4 = X0 )
| ( sK6 = X0 )
| ( ( sK3 @ X0 @ sK4 )
= $false ) )
| ~ spl0_71 ),
inference(equality_proxy_clausification,[status(thm)],[f5383]) ).
thf(f5383,plain,
( ! [X0: $i] :
( ( sK6 = X0 )
| ( ( sK3 @ X0 @ sK4 )
= $false )
| ( ( X0 = sK4 )
= $true )
| ( ( sK3 @ X0 @ sK6 )
= $false ) )
| ~ spl0_71 ),
inference(not_proxy_clausification,[status(thm)],[f984]) ).
thf(f5676,plain,
( ~ spl0_31
| ~ spl0_45
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[status(thm)],[f5675]) ).
thf(f5675,plain,
( $false
| ~ spl0_31
| ~ spl0_45
| ~ spl0_91 ),
inference(trivial_inequality_removal,[status(thm)],[f5674]) ).
thf(f5674,plain,
( ( $false = $true )
| ~ spl0_31
| ~ spl0_45
| ~ spl0_91 ),
inference(boolean_simplification,[status(thm)],[f5673]) ).
thf(f5673,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_31
| ~ spl0_45
| ~ spl0_91 ),
inference(forward_demodulation,[status(thm)],[f5672,f333]) ).
thf(f5672,plain,
( ( ( ~ ( sK3 @ sK4 @ sK2 ) )
= $false )
| ~ spl0_45
| ~ spl0_91 ),
inference(subsumption_resolution,[status(thm)],[f5671,f77]) ).
thf(f5671,plain,
( ( sK5 = sK2 )
| ( ( ~ ( sK3 @ sK4 @ sK2 ) )
= $false )
| ~ spl0_45
| ~ spl0_91 ),
inference(subsumption_resolution,[status(thm)],[f5646,f91]) ).
thf(f5646,plain,
( ( ( ~ ( sK3 @ sK4 @ sK2 ) )
= $false )
| ( sK4 = sK2 )
| ( sK5 = sK2 )
| ~ spl0_45
| ~ spl0_91 ),
inference(trivial_inequality_removal,[status(thm)],[f5645]) ).
thf(f5645,plain,
( ( sK4 = sK2 )
| ( ( ~ ( sK3 @ sK4 @ sK2 ) )
= $false )
| ( $false = $true )
| ( sK5 = sK2 )
| ~ spl0_45
| ~ spl0_91 ),
inference(boolean_simplification,[status(thm)],[f5630]) ).
thf(f5630,plain,
( ( sK4 = sK2 )
| ( ( ~ $false ) = $false )
| ( sK5 = sK2 )
| ( ( ~ ( sK3 @ sK4 @ sK2 ) )
= $false )
| ~ spl0_45
| ~ spl0_91 ),
inference(superposition,[status(thm)],[f1951,f643]) ).
thf(f5086,plain,
( spl0_16
| spl0_23
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[status(thm)],[f5085]) ).
thf(f5085,plain,
( $false
| spl0_16
| spl0_23
| ~ spl0_60 ),
inference(subsumption_resolution,[status(thm)],[f5084,f214]) ).
thf(f214,plain,
( ( ( sK3 @ sK4 @ sK5 )
!= $false )
| spl0_16 ),
inference(avatar_component_clause,[status(thm)],[f213]) ).
thf(f5084,plain,
( ( ( sK3 @ sK4 @ sK5 )
= $false )
| spl0_23
| ~ spl0_60 ),
inference(subsumption_resolution,[status(thm)],[f5083,f265]) ).
thf(f5083,plain,
( ( sK5 = sK7 )
| ( ( sK3 @ sK4 @ sK5 )
= $false )
| spl0_23
| ~ spl0_60 ),
inference(subsumption_resolution,[status(thm)],[f5067,f81]) ).
thf(f5067,plain,
( ( sK5 = sK4 )
| ( ( sK3 @ sK4 @ sK5 )
= $false )
| ( sK5 = sK7 )
| spl0_23
| ~ spl0_60 ),
inference(trivial_inequality_removal,[status(thm)],[f5062]) ).
thf(f5062,plain,
( ( $false = $true )
| ( sK5 = sK4 )
| ( sK5 = sK7 )
| ( ( sK3 @ sK4 @ sK5 )
= $false )
| spl0_23
| ~ spl0_60 ),
inference(superposition,[status(thm)],[f4836,f708]) ).
thf(f4836,plain,
( ( ( sK3 @ sK7 @ sK5 )
= $true )
| spl0_23 ),
inference(trivial_inequality_removal,[status(thm)],[f4834]) ).
thf(f4834,plain,
( ( $false != $false )
| ( ( sK3 @ sK7 @ sK5 )
= $true )
| spl0_23 ),
inference(superposition,[status(thm)],[f258,f58]) ).
thf(f5015,plain,
( spl0_41
| ~ spl0_61
| spl0_68 ),
inference(avatar_contradiction_clause,[status(thm)],[f5014]) ).
thf(f5014,plain,
( $false
| spl0_41
| ~ spl0_61
| spl0_68 ),
inference(subsumption_resolution,[status(thm)],[f5013,f79]) ).
thf(f5013,plain,
( ( sK2 = sK7 )
| spl0_41
| ~ spl0_61
| spl0_68 ),
inference(subsumption_resolution,[status(thm)],[f5012,f624]) ).
thf(f5012,plain,
( ( ( sK3 @ sK7 @ sK2 )
= $false )
| ( sK2 = sK7 )
| ~ spl0_61
| spl0_68 ),
inference(subsumption_resolution,[status(thm)],[f4994,f83]) ).
thf(f4994,plain,
( ( sK8 = sK2 )
| ( ( sK3 @ sK7 @ sK2 )
= $false )
| ( sK2 = sK7 )
| ~ spl0_61
| spl0_68 ),
inference(trivial_inequality_removal,[status(thm)],[f4990]) ).
thf(f4990,plain,
( ( sK2 = sK7 )
| ( $false != $false )
| ( ( sK3 @ sK7 @ sK2 )
= $false )
| ( sK8 = sK2 )
| ~ spl0_61
| spl0_68 ),
inference(superposition,[status(thm)],[f745,f712]) ).
thf(f712,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK8 @ X0 )
= $false )
| ( ( sK3 @ sK7 @ X0 )
= $false )
| ( sK7 = X0 )
| ( sK8 = X0 ) )
| ~ spl0_61 ),
inference(avatar_component_clause,[status(thm)],[f711]) ).
thf(f711,definition,
( spl0_61
<=> ! [X0: $i] :
( ( ( sK3 @ sK8 @ X0 )
= $false )
| ( sK7 = X0 )
| ( ( sK3 @ sK7 @ X0 )
= $false )
| ( sK8 = X0 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_61])],[avatar_definition]) ).
thf(f5011,plain,
( spl0_41
| ~ spl0_61
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[status(thm)],[f5010]) ).
thf(f5010,plain,
( $false
| spl0_41
| ~ spl0_61
| ~ spl0_134 ),
inference(subsumption_resolution,[status(thm)],[f5009,f79]) ).
thf(f5009,plain,
( ( sK2 = sK7 )
| spl0_41
| ~ spl0_61
| ~ spl0_134 ),
inference(subsumption_resolution,[status(thm)],[f5008,f624]) ).
thf(f5008,plain,
( ( ( sK3 @ sK7 @ sK2 )
= $false )
| ( sK2 = sK7 )
| ~ spl0_61
| ~ spl0_134 ),
inference(subsumption_resolution,[status(thm)],[f4996,f83]) ).
thf(f4996,plain,
( ( sK8 = sK2 )
| ( sK2 = sK7 )
| ( ( sK3 @ sK7 @ sK2 )
= $false )
| ~ spl0_61
| ~ spl0_134 ),
inference(trivial_inequality_removal,[status(thm)],[f4986]) ).
thf(f4986,plain,
( ( sK8 = sK2 )
| ( $false = $true )
| ( ( sK3 @ sK7 @ sK2 )
= $false )
| ( sK2 = sK7 )
| ~ spl0_61
| ~ spl0_134 ),
inference(superposition,[status(thm)],[f712,f3419]) ).
thf(f4686,plain,
( spl0_111
| spl0_69 ),
inference(avatar_split_clause,[status(thm)],[f1274,f975,f3022]) ).
thf(f3022,definition,
( spl0_111
<=> ! [X0: $i] :
( ( ( ~ ( sK3 @ X0 @ sK6 ) )
= $false )
| ( ( ~ ( sK3 @ X0 @ sK4 ) )
= $false )
| ( sK6 = X0 )
| ( ( X0 != sK4 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_111])],[avatar_definition]) ).
thf(f975,definition,
( spl0_69
<=> ( ( ~ ( sK3 @ sK4 @ sK6 ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_69])],[avatar_definition]) ).
thf(f1274,plain,
! [X0: $i] :
( ( ( ~ ( sK3 @ X0 @ sK6 ) )
= $false )
| ( ( ~ ( sK3 @ X0 @ sK4 ) )
= $false )
| ( ( ~ ( sK3 @ sK4 @ sK6 ) )
= $false )
| ( sK6 = X0 )
| ( ( X0 != sK4 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f1251]) ).
thf(f1251,plain,
! [X0: $i] :
( ( ( ~ ( sK3 @ sK4 @ sK6 ) )
= $false )
| ( sK6 = X0 )
| ( ( X0 != sK4 )
= $false )
| ( $false = $true )
| ( ( ~ ( sK3 @ X0 @ sK4 ) )
= $false )
| ( ( ~ ( sK3 @ X0 @ sK6 ) )
= $false ) ),
inference(superposition,[status(thm)],[f24,f865]) ).
thf(f4677,plain,
( spl0_148
| spl0_147 ),
inference(avatar_split_clause,[status(thm)],[f1783,f4670,f4673]) ).
thf(f1783,plain,
! [X0: $i] :
( ( ( ~ ( sK3 @ sK6 @ sK4 ) )
= $false )
| ( ( ~ ( sK3 @ sK6 @ X0 ) )
= $false )
| ( sK6 = X0 )
| ( sK4 = X0 )
| ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f1723]) ).
thf(f1723,plain,
! [X0: $i] :
( ( sK4 = X0 )
| ( ( ~ ( sK3 @ sK6 @ sK4 ) )
= $false )
| ( sK6 = X0 )
| ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false )
| ( ( ~ ( sK3 @ sK6 @ X0 ) )
= $false )
| ( $false = $true ) ),
inference(superposition,[status(thm)],[f1328,f24]) ).
thf(f4644,plain,
( spl0_31
| spl0_44
| spl0_32 ),
inference(avatar_split_clause,[status(thm)],[f1066,f335,f636,f331]) ).
thf(f1066,plain,
( ! [X0: $i] :
( ( sK4 = X0 )
| ( ( sK3 @ sK4 @ sK2 )
= $false )
| ( ( sK3 @ sK2 @ X0 )
= $false )
| ( ( sK3 @ sK4 @ X0 )
= $false )
| ( sK2 = X0 ) )
| spl0_32 ),
inference(trivial_inequality_removal,[status(thm)],[f1064]) ).
thf(f1064,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK4 @ X0 )
= $false )
| ( ( sK3 @ sK4 @ sK2 )
= $false )
| ( ( sK3 @ sK2 @ X0 )
= $false )
| ( sK4 = X0 )
| ( sK2 = X0 )
| ( $false != $false ) )
| spl0_32 ),
inference(superposition,[status(thm)],[f336,f444]) ).
thf(f4636,plain,
( ~ spl0_18
| ~ spl0_107 ),
inference(avatar_contradiction_clause,[status(thm)],[f4635]) ).
thf(f4635,plain,
( $false
| ~ spl0_18
| ~ spl0_107 ),
inference(trivial_inequality_removal,[status(thm)],[f4634]) ).
thf(f4634,plain,
( ( $false = $true )
| ~ spl0_18
| ~ spl0_107 ),
inference(boolean_simplification,[status(thm)],[f4633]) ).
thf(f4633,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_18
| ~ spl0_107 ),
inference(backward_demodulation,[status(thm)],[f2978,f223]) ).
thf(f2978,plain,
( ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ~ spl0_107 ),
inference(avatar_component_clause,[status(thm)],[f2976]) ).
thf(f4620,plain,
( ~ spl0_68
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[status(thm)],[f4619]) ).
thf(f4619,plain,
( $false
| ~ spl0_68
| ~ spl0_134 ),
inference(trivial_inequality_removal,[status(thm)],[f4618]) ).
thf(f4618,plain,
( ( $false = $true )
| ~ spl0_68
| ~ spl0_134 ),
inference(backward_demodulation,[status(thm)],[f3419,f746]) ).
thf(f4613,plain,
( spl0_7
| spl0_62
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[status(thm)],[f4612]) ).
thf(f4612,plain,
( $false
| spl0_7
| spl0_62
| ~ spl0_67 ),
inference(subsumption_resolution,[status(thm)],[f4611,f79]) ).
thf(f4611,plain,
( ( sK2 = sK7 )
| spl0_7
| spl0_62
| ~ spl0_67 ),
inference(subsumption_resolution,[status(thm)],[f4610,f85]) ).
thf(f4610,plain,
( ( sK8 = sK7 )
| ( sK2 = sK7 )
| spl0_7
| spl0_62
| ~ spl0_67 ),
inference(subsumption_resolution,[status(thm)],[f4609,f178]) ).
thf(f4609,plain,
( ( $false
= ( sK3 @ sK2 @ sK7 ) )
| ( sK8 = sK7 )
| ( sK2 = sK7 )
| spl0_62
| ~ spl0_67 ),
inference(trivial_inequality_removal,[status(thm)],[f4604]) ).
thf(f4604,plain,
( ( sK8 = sK7 )
| ( sK2 = sK7 )
| ( $false
= ( sK3 @ sK2 @ sK7 ) )
| ( $false != $false )
| spl0_62
| ~ spl0_67 ),
inference(superposition,[status(thm)],[f715,f742]) ).
thf(f742,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK8 @ X0 )
= $false )
| ( ( sK3 @ sK2 @ X0 )
= $false )
| ( sK8 = X0 )
| ( sK2 = X0 ) )
| ~ spl0_67 ),
inference(avatar_component_clause,[status(thm)],[f741]) ).
thf(f741,definition,
( spl0_67
<=> ! [X0: $i] :
( ( sK2 = X0 )
| ( ( sK3 @ sK8 @ X0 )
= $false )
| ( sK8 = X0 )
| ( ( sK3 @ sK2 @ X0 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_67])],[avatar_definition]) ).
thf(f4590,plain,
( ~ spl0_59
| ~ spl0_111
| spl0_113 ),
inference(avatar_contradiction_clause,[status(thm)],[f4589]) ).
thf(f4589,plain,
( $false
| ~ spl0_59
| ~ spl0_111
| spl0_113 ),
inference(trivial_inequality_removal,[status(thm)],[f4588]) ).
thf(f4588,plain,
( ( $false = $true )
| ~ spl0_59
| ~ spl0_111
| spl0_113 ),
inference(boolean_simplification,[status(thm)],[f4587]) ).
thf(f4587,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_59
| ~ spl0_111
| spl0_113 ),
inference(forward_demodulation,[status(thm)],[f4586,f705]) ).
thf(f4586,plain,
( ( $false
= ( ~ ( sK3 @ sK7 @ sK4 ) ) )
| ~ spl0_111
| spl0_113 ),
inference(subsumption_resolution,[status(thm)],[f4298,f3032]) ).
thf(f3032,plain,
( ( $false
!= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| spl0_113 ),
inference(avatar_component_clause,[status(thm)],[f3031]) ).
thf(f3031,definition,
( spl0_113
<=> ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_113])],[avatar_definition]) ).
thf(f4298,plain,
( ( $false
= ( ~ ( sK3 @ sK7 @ sK4 ) ) )
| ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ~ spl0_111 ),
inference(subsumption_resolution,[status(thm)],[f4275,f279]) ).
thf(f4275,plain,
( ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ( sK6 = sK7 )
| ( $false
= ( ~ ( sK3 @ sK7 @ sK4 ) ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[status(thm)],[f4273]) ).
thf(f4273,plain,
( ( $false = $true )
| ( sK6 = sK7 )
| ( $false
= ( ~ ( sK3 @ sK7 @ sK4 ) ) )
| ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ~ spl0_111 ),
inference(superposition,[status(thm)],[f53,f3023]) ).
thf(f3023,plain,
( ! [X0: $i] :
( ( ( X0 != sK4 )
= $false )
| ( ( ~ ( sK3 @ X0 @ sK6 ) )
= $false )
| ( ( ~ ( sK3 @ X0 @ sK4 ) )
= $false )
| ( sK6 = X0 ) )
| ~ spl0_111 ),
inference(avatar_component_clause,[status(thm)],[f3022]) ).
thf(f4580,plain,
( ~ spl0_44
| ~ spl0_45
| ~ spl0_51
| ~ spl0_62 ),
inference(avatar_contradiction_clause,[status(thm)],[f4579]) ).
thf(f4579,plain,
( $false
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51
| ~ spl0_62 ),
inference(subsumption_resolution,[status(thm)],[f4578,f79]) ).
thf(f4578,plain,
( ( sK2 = sK7 )
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51
| ~ spl0_62 ),
inference(subsumption_resolution,[status(thm)],[f4577,f310]) ).
thf(f4577,plain,
( ( sK4 = sK7 )
| ( sK2 = sK7 )
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51
| ~ spl0_62 ),
inference(subsumption_resolution,[status(thm)],[f4565,f265]) ).
thf(f4565,plain,
( ( sK5 = sK7 )
| ( sK2 = sK7 )
| ( sK4 = sK7 )
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51
| ~ spl0_62 ),
inference(trivial_inequality_removal,[status(thm)],[f4554]) ).
thf(f4554,plain,
( ( $false = $true )
| ( sK5 = sK7 )
| ( sK4 = sK7 )
| ( sK2 = sK7 )
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51
| ~ spl0_62 ),
inference(superposition,[status(thm)],[f4539,f4083]) ).
thf(f4083,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK4 @ X0 )
= $false )
| ( sK5 = X0 )
| ( sK2 = X0 )
| ( sK4 = X0 ) )
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51 ),
inference(trivial_inequality_removal,[status(thm)],[f4082]) ).
thf(f4082,plain,
( ! [X0: $i] :
( ( $false = $true )
| ( sK4 = X0 )
| ( sK5 = X0 )
| ( sK2 = X0 )
| ( ( sK3 @ sK4 @ X0 )
= $false ) )
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51 ),
inference(backward_subsumption_demodulation,[status(thm)],[f2471,f637]) ).
thf(f2471,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK4 @ X0 )
= $false )
| ( ( sK3 @ sK2 @ X0 )
= $true )
| ( sK2 = X0 )
| ( sK4 = X0 )
| ( sK5 = X0 ) )
| ~ spl0_45
| ~ spl0_51 ),
inference(trivial_inequality_removal,[status(thm)],[f2470]) ).
thf(f2470,plain,
( ! [X0: $i] :
( ( sK2 = X0 )
| ( sK4 = X0 )
| ( $false = $true )
| ( ( sK3 @ sK4 @ X0 )
= $false )
| ( sK5 = X0 )
| ( ( sK3 @ sK2 @ X0 )
= $true ) )
| ~ spl0_45
| ~ spl0_51 ),
inference(duplicate_literal_removal,[status(thm)],[f2450]) ).
thf(f2450,plain,
( ! [X0: $i] :
( ( sK5 = X0 )
| ( sK4 = X0 )
| ( ( sK3 @ sK4 @ X0 )
= $false )
| ( ( sK3 @ sK2 @ X0 )
= $true )
| ( sK2 = X0 )
| ( $false = $true )
| ( sK5 = X0 ) )
| ~ spl0_45
| ~ spl0_51 ),
inference(superposition,[status(thm)],[f666,f2415]) ).
thf(f2415,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK5 @ X0 )
= $true )
| ( sK5 = X0 )
| ( sK2 = X0 )
| ( ( sK3 @ sK2 @ X0 )
= $true ) )
| ~ spl0_45 ),
inference(not_proxy_clausification,[status(thm)],[f2085]) ).
thf(f4539,plain,
( ( ( sK3 @ sK4 @ sK7 )
= $true )
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51
| ~ spl0_62 ),
inference(subsumption_resolution,[status(thm)],[f4538,f310]) ).
thf(f4538,plain,
( ( sK4 = sK7 )
| ( ( sK3 @ sK4 @ sK7 )
= $true )
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51
| ~ spl0_62 ),
inference(subsumption_resolution,[status(thm)],[f4537,f93]) ).
thf(f4537,plain,
( ( ( sK3 @ sK4 @ sK7 )
= $true )
| ( sK8 = sK4 )
| ( sK4 = sK7 )
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51
| ~ spl0_62 ),
inference(subsumption_resolution,[status(thm)],[f4536,f286]) ).
thf(f4536,plain,
( ( sK8 = sK5 )
| ( ( sK3 @ sK4 @ sK7 )
= $true )
| ( sK8 = sK4 )
| ( sK4 = sK7 )
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51
| ~ spl0_62 ),
inference(subsumption_resolution,[status(thm)],[f4496,f83]) ).
thf(f4496,plain,
( ( ( sK3 @ sK4 @ sK7 )
= $true )
| ( sK8 = sK2 )
| ( sK4 = sK7 )
| ( sK8 = sK5 )
| ( sK8 = sK4 )
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51
| ~ spl0_62 ),
inference(trivial_inequality_removal,[status(thm)],[f4495]) ).
thf(f4495,plain,
( ( sK8 = sK5 )
| ( sK8 = sK2 )
| ( ( sK3 @ sK4 @ sK7 )
= $true )
| ( sK4 = sK7 )
| ( $false = $true )
| ( sK8 = sK4 )
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51
| ~ spl0_62 ),
inference(duplicate_literal_removal,[status(thm)],[f4485]) ).
thf(f4485,plain,
( ( sK8 = sK2 )
| ( sK8 = sK5 )
| ( sK8 = sK4 )
| ( $false = $true )
| ( sK8 = sK4 )
| ( sK4 = sK7 )
| ( ( sK3 @ sK4 @ sK7 )
= $true )
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51
| ~ spl0_62 ),
inference(superposition,[status(thm)],[f4083,f3766]) ).
thf(f3766,plain,
( ! [X0: $i] :
( ( ( sK3 @ X0 @ sK8 )
= $true )
| ( sK8 = X0 )
| ( ( sK3 @ X0 @ sK7 )
= $true )
| ( sK7 = X0 ) )
| ~ spl0_62 ),
inference(subsumption_resolution,[status(thm)],[f3693,f85]) ).
thf(f3693,plain,
( ! [X0: $i] :
( ( ( sK3 @ X0 @ sK8 )
= $true )
| ( sK8 = sK7 )
| ( ( sK3 @ X0 @ sK7 )
= $true )
| ( sK8 = X0 )
| ( sK7 = X0 ) )
| ~ spl0_62 ),
inference(trivial_inequality_removal,[status(thm)],[f3692]) ).
thf(f3692,plain,
( ! [X0: $i] :
( ( sK8 = X0 )
| ( $false = $true )
| ( sK7 = X0 )
| ( ( sK3 @ X0 @ sK7 )
= $true )
| ( sK8 = sK7 )
| ( ( sK3 @ X0 @ sK8 )
= $true ) )
| ~ spl0_62 ),
inference(boolean_simplification,[status(thm)],[f3691]) ).
thf(f3691,plain,
( ! [X0: $i] :
( ( ( sK3 @ X0 @ sK8 )
= $true )
| ( ( sK3 @ X0 @ sK7 )
= $true )
| ( sK8 = sK7 )
| ( sK7 = X0 )
| ( ( ~ $false ) = $false )
| ( sK8 = X0 ) )
| ~ spl0_62 ),
inference(superposition,[status(thm)],[f3295,f716]) ).
thf(f3295,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ~ ( sK3 @ X1 @ X3 ) )
= $false )
| ( ( sK3 @ X2 @ X3 )
= $true )
| ( X1 = X2 )
| ( X1 = X3 )
| ( X2 = X3 )
| ( ( sK3 @ X2 @ X1 )
= $true ) ),
inference(not_proxy_clausification,[status(thm)],[f2212]) ).
thf(f2212,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ~ ( sK3 @ X2 @ X1 ) )
= $false )
| ( X2 = X3 )
| ( ( ~ ( sK3 @ X1 @ X3 ) )
= $false )
| ( X1 = X2 )
| ( ( sK3 @ X2 @ X3 )
= $true )
| ( X1 = X3 ) ),
inference(not_proxy_clausification,[status(thm)],[f1795]) ).
thf(f4547,plain,
( ~ spl0_9
| ~ spl0_30
| ~ spl0_62 ),
inference(avatar_contradiction_clause,[status(thm)],[f4546]) ).
thf(f4546,plain,
( $false
| ~ spl0_9
| ~ spl0_30
| ~ spl0_62 ),
inference(trivial_inequality_removal,[status(thm)],[f4545]) ).
thf(f4545,plain,
( ( $false = $true )
| ~ spl0_9
| ~ spl0_30
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f4544,f307]) ).
thf(f4544,plain,
( ( ( sK3 @ sK4 @ sK7 )
= $true )
| ~ spl0_9
| ~ spl0_62 ),
inference(subsumption_resolution,[status(thm)],[f4543,f310]) ).
thf(f4543,plain,
( ( ( sK3 @ sK4 @ sK7 )
= $true )
| ( sK4 = sK7 )
| ~ spl0_9
| ~ spl0_62 ),
inference(subsumption_resolution,[status(thm)],[f4494,f93]) ).
thf(f4494,plain,
( ( sK8 = sK4 )
| ( ( sK3 @ sK4 @ sK7 )
= $true )
| ( sK4 = sK7 )
| ~ spl0_9
| ~ spl0_62 ),
inference(trivial_inequality_removal,[status(thm)],[f4472]) ).
thf(f4472,plain,
( ( sK4 = sK7 )
| ( sK8 = sK4 )
| ( ( sK3 @ sK4 @ sK7 )
= $true )
| ( $false = $true )
| ~ spl0_9
| ~ spl0_62 ),
inference(superposition,[status(thm)],[f3766,f187]) ).
thf(f4535,plain,
( ~ spl0_23
| ~ spl0_28
| ~ spl0_62 ),
inference(avatar_contradiction_clause,[status(thm)],[f4534]) ).
thf(f4534,plain,
( $false
| ~ spl0_23
| ~ spl0_28
| ~ spl0_62 ),
inference(trivial_inequality_removal,[status(thm)],[f4533]) ).
thf(f4533,plain,
( ( $false = $true )
| ~ spl0_23
| ~ spl0_28
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f4532,f259]) ).
thf(f4532,plain,
( ( ( sK3 @ sK5 @ sK7 )
= $true )
| ~ spl0_28
| ~ spl0_62 ),
inference(subsumption_resolution,[status(thm)],[f4531,f286]) ).
thf(f4531,plain,
( ( sK8 = sK5 )
| ( ( sK3 @ sK5 @ sK7 )
= $true )
| ~ spl0_28
| ~ spl0_62 ),
inference(subsumption_resolution,[status(thm)],[f4508,f265]) ).
thf(f4508,plain,
( ( sK5 = sK7 )
| ( sK8 = sK5 )
| ( ( sK3 @ sK5 @ sK7 )
= $true )
| ~ spl0_28
| ~ spl0_62 ),
inference(trivial_inequality_removal,[status(thm)],[f4482]) ).
thf(f4482,plain,
( ( sK8 = sK5 )
| ( $false = $true )
| ( ( sK3 @ sK5 @ sK7 )
= $true )
| ( sK5 = sK7 )
| ~ spl0_28
| ~ spl0_62 ),
inference(superposition,[status(thm)],[f293,f3766]) ).
thf(f4465,plain,
( spl0_20
| ~ spl0_53
| spl0_63 ),
inference(avatar_contradiction_clause,[status(thm)],[f4464]) ).
thf(f4464,plain,
( $false
| spl0_20
| ~ spl0_53
| spl0_63 ),
inference(subsumption_resolution,[status(thm)],[f4463,f89]) ).
thf(f4463,plain,
( ( sK8 = sK6 )
| spl0_20
| ~ spl0_53
| spl0_63 ),
inference(subsumption_resolution,[status(thm)],[f4462,f83]) ).
thf(f4462,plain,
( ( sK8 = sK2 )
| ( sK8 = sK6 )
| spl0_20
| ~ spl0_53
| spl0_63 ),
inference(subsumption_resolution,[status(thm)],[f4439,f236]) ).
thf(f4439,plain,
( ( $false
= ( sK3 @ sK2 @ sK8 ) )
| ( sK8 = sK6 )
| ( sK8 = sK2 )
| ~ spl0_53
| spl0_63 ),
inference(trivial_inequality_removal,[status(thm)],[f4431]) ).
thf(f4431,plain,
( ( sK8 = sK6 )
| ( sK8 = sK2 )
| ( $false = $true )
| ( $false
= ( sK3 @ sK2 @ sK8 ) )
| ~ spl0_53
| spl0_63 ),
inference(superposition,[status(thm)],[f4181,f674]) ).
thf(f674,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK6 @ X0 )
= $false )
| ( sK6 = X0 )
| ( sK2 = X0 )
| ( ( sK3 @ sK2 @ X0 )
= $false ) )
| ~ spl0_53 ),
inference(avatar_component_clause,[status(thm)],[f673]) ).
thf(f4181,plain,
( ( ( sK3 @ sK6 @ sK8 )
= $true )
| spl0_63 ),
inference(trivial_inequality_removal,[status(thm)],[f4179]) ).
thf(f4179,plain,
( ( $false != $false )
| ( ( sK3 @ sK6 @ sK8 )
= $true )
| spl0_63 ),
inference(superposition,[status(thm)],[f720,f58]) ).
thf(f720,plain,
( ( ( sK3 @ sK8 @ sK6 )
!= $false )
| spl0_63 ),
inference(avatar_component_clause,[status(thm)],[f719]) ).
thf(f4132,plain,
( ~ spl0_5
| ~ spl0_28
| ~ spl0_45
| spl0_63 ),
inference(avatar_contradiction_clause,[status(thm)],[f4131]) ).
thf(f4131,plain,
( $false
| ~ spl0_5
| ~ spl0_28
| ~ spl0_45
| spl0_63 ),
inference(subsumption_resolution,[status(thm)],[f4130,f720]) ).
thf(f4130,plain,
( ( ( sK3 @ sK8 @ sK6 )
= $false )
| ~ spl0_5
| ~ spl0_28
| ~ spl0_45 ),
inference(subsumption_resolution,[status(thm)],[f4129,f286]) ).
thf(f4129,plain,
( ( sK8 = sK5 )
| ( ( sK3 @ sK8 @ sK6 )
= $false )
| ~ spl0_5
| ~ spl0_28
| ~ spl0_45 ),
inference(subsumption_resolution,[status(thm)],[f4128,f89]) ).
thf(f4128,plain,
( ( sK8 = sK6 )
| ( sK8 = sK5 )
| ( ( sK3 @ sK8 @ sK6 )
= $false )
| ~ spl0_5
| ~ spl0_28
| ~ spl0_45 ),
inference(subsumption_resolution,[status(thm)],[f3931,f83]) ).
thf(f3931,plain,
( ( sK8 = sK2 )
| ( sK8 = sK6 )
| ( ( sK3 @ sK8 @ sK6 )
= $false )
| ( sK8 = sK5 )
| ~ spl0_5
| ~ spl0_28
| ~ spl0_45 ),
inference(trivial_inequality_removal,[status(thm)],[f3923]) ).
thf(f3923,plain,
( ( $false = $true )
| ( sK8 = sK2 )
| ( sK8 = sK6 )
| ( sK8 = sK5 )
| ( ( sK3 @ sK8 @ sK6 )
= $false )
| ~ spl0_5
| ~ spl0_28
| ~ spl0_45 ),
inference(superposition,[status(thm)],[f293,f2429]) ).
thf(f2429,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK5 @ X0 )
= $true )
| ( sK5 = X0 )
| ( sK2 = X0 )
| ( sK6 = X0 )
| ( ( sK3 @ X0 @ sK6 )
= $false ) )
| ~ spl0_5
| ~ spl0_45 ),
inference(trivial_inequality_removal,[status(thm)],[f2428]) ).
thf(f2428,plain,
( ! [X0: $i] :
( ( sK2 = X0 )
| ( ( sK3 @ sK5 @ X0 )
= $true )
| ( ( sK3 @ X0 @ sK6 )
= $false )
| ( sK6 = X0 )
| ( $false = $true )
| ( sK5 = X0 ) )
| ~ spl0_5
| ~ spl0_45 ),
inference(boolean_simplification,[status(thm)],[f2427]) ).
thf(f2427,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK5 @ X0 )
= $true )
| ( sK5 = X0 )
| ( sK2 = X0 )
| ( ( sK3 @ X0 @ sK6 )
= $false )
| ( sK6 = X0 )
| ( ( ~ $false ) = $false ) )
| ~ spl0_5
| ~ spl0_45 ),
inference(duplicate_literal_removal,[status(thm)],[f2416]) ).
thf(f2416,plain,
( ! [X0: $i] :
( ( sK5 = X0 )
| ( sK2 = X0 )
| ( sK2 = X0 )
| ( ( sK3 @ X0 @ sK6 )
= $false )
| ( sK6 = X0 )
| ( ( sK3 @ sK5 @ X0 )
= $true )
| ( ( ~ $false ) = $false ) )
| ~ spl0_5
| ~ spl0_45 ),
inference(superposition,[status(thm)],[f2085,f505]) ).
thf(f505,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK2 @ X0 )
= $false )
| ( sK6 = X0 )
| ( sK2 = X0 )
| ( ( sK3 @ X0 @ sK6 )
= $false ) )
| ~ spl0_5 ),
inference(equality_proxy_clausification,[status(thm)],[f504]) ).
thf(f504,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK2 @ X0 )
= $false )
| ( sK6 = X0 )
| ( ( sK2 = X0 )
= $true )
| ( ( sK3 @ X0 @ sK6 )
= $false ) )
| ~ spl0_5 ),
inference(not_proxy_clausification,[status(thm)],[f503]) ).
thf(f503,plain,
( ! [X0: $i] :
( ( ( sK2 != X0 )
= $false )
| ( ( sK3 @ X0 @ sK6 )
= $false )
| ( sK6 = X0 )
| ( ( sK3 @ sK2 @ X0 )
= $false ) )
| ~ spl0_5 ),
inference(equality_proxy_clausification,[status(thm)],[f486]) ).
thf(f486,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK2 @ X0 )
= $false )
| ( ( sK3 @ X0 @ sK6 )
= $false )
| ( ( sK6 = X0 )
= $true )
| ( ( sK2 != X0 )
= $false ) )
| ~ spl0_5 ),
inference(not_proxy_clausification,[status(thm)],[f170]) ).
thf(f170,plain,
( ! [X0: $i] :
( ( ( sK6 != X0 )
= $false )
| ( ( sK2 != X0 )
= $false )
| ( ( sK3 @ X0 @ sK6 )
= $false )
| ( ( sK3 @ sK2 @ X0 )
= $false ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[status(thm)],[f169]) ).
thf(f4111,plain,
( ~ spl0_5
| spl0_63
| spl0_68 ),
inference(avatar_contradiction_clause,[status(thm)],[f4110]) ).
thf(f4110,plain,
( $false
| ~ spl0_5
| spl0_63
| spl0_68 ),
inference(subsumption_resolution,[status(thm)],[f4109,f89]) ).
thf(f4109,plain,
( ( sK8 = sK6 )
| ~ spl0_5
| spl0_63
| spl0_68 ),
inference(subsumption_resolution,[status(thm)],[f4108,f83]) ).
thf(f4108,plain,
( ( sK8 = sK2 )
| ( sK8 = sK6 )
| ~ spl0_5
| spl0_63
| spl0_68 ),
inference(subsumption_resolution,[status(thm)],[f3561,f720]) ).
thf(f3561,plain,
( ( ( sK3 @ sK8 @ sK6 )
= $false )
| ( sK8 = sK6 )
| ( sK8 = sK2 )
| ~ spl0_5
| spl0_68 ),
inference(trivial_inequality_removal,[status(thm)],[f3556]) ).
thf(f3556,plain,
( ( $false = $true )
| ( ( sK3 @ sK8 @ sK6 )
= $false )
| ( sK8 = sK2 )
| ( sK8 = sK6 )
| ~ spl0_5
| spl0_68 ),
inference(superposition,[status(thm)],[f505,f3492]) ).
thf(f3492,plain,
( ( ( sK3 @ sK2 @ sK8 )
= $true )
| spl0_68 ),
inference(trivial_inequality_removal,[status(thm)],[f3491]) ).
thf(f3491,plain,
( ( ( sK3 @ sK2 @ sK8 )
= $true )
| ( $false != $false )
| spl0_68 ),
inference(superposition,[status(thm)],[f745,f58]) ).
thf(f4098,plain,
( spl0_47
| spl0_63
| ~ spl0_71 ),
inference(avatar_split_clause,[status(thm)],[f4097,f983,f719,f649]) ).
thf(f4097,plain,
( ( ( sK3 @ sK8 @ sK6 )
= $false )
| ( ( sK3 @ sK8 @ sK4 )
= $false )
| ~ spl0_71 ),
inference(subsumption_resolution,[status(thm)],[f4006,f89]) ).
thf(f4006,plain,
( ( ( sK3 @ sK8 @ sK6 )
= $false )
| ( sK8 = sK6 )
| ( ( sK3 @ sK8 @ sK4 )
= $false )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[status(thm)],[f3995]) ).
thf(f3995,plain,
( ( ( sK3 @ sK8 @ sK6 )
= $false )
| ( sK8 = sK6 )
| ( ( sK3 @ sK8 @ sK4 )
= $false )
| ( $false = $true )
| ~ spl0_71 ),
inference(superposition,[status(thm)],[f984,f44]) ).
thf(f4076,plain,
( spl0_44
| spl0_18 ),
inference(avatar_split_clause,[status(thm)],[f4075,f221,f636]) ).
thf(f4075,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK4 @ X0 )
= $false )
| ( sK2 = X0 )
| ( sK4 = X0 )
| ( ( sK3 @ sK2 @ X0 )
= $false ) )
| spl0_18 ),
inference(subsumption_resolution,[status(thm)],[f3548,f91]) ).
thf(f3548,plain,
( ! [X0: $i] :
( ( sK4 = X0 )
| ( ( sK3 @ sK2 @ X0 )
= $false )
| ( sK4 = sK2 )
| ( sK2 = X0 )
| ( ( sK3 @ sK4 @ X0 )
= $false ) )
| spl0_18 ),
inference(trivial_inequality_removal,[status(thm)],[f3544]) ).
thf(f3544,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK2 @ X0 )
= $false )
| ( sK2 = X0 )
| ( ( sK3 @ sK4 @ X0 )
= $false )
| ( $false != $false )
| ( sK4 = X0 )
| ( sK4 = sK2 ) )
| spl0_18 ),
inference(superposition,[status(thm)],[f222,f680]) ).
thf(f222,plain,
( ( ( sK3 @ sK2 @ sK4 )
!= $false )
| spl0_18 ),
inference(avatar_component_clause,[status(thm)],[f221]) ).
thf(f4070,plain,
( ~ spl0_31
| ~ spl0_119 ),
inference(avatar_contradiction_clause,[status(thm)],[f4069]) ).
thf(f4069,plain,
( $false
| ~ spl0_31
| ~ spl0_119 ),
inference(trivial_inequality_removal,[status(thm)],[f4068]) ).
thf(f4068,plain,
( ( $false = $true )
| ~ spl0_31
| ~ spl0_119 ),
inference(backward_demodulation,[status(thm)],[f3152,f333]) ).
thf(f3152,plain,
( ( ( sK3 @ sK4 @ sK2 )
= $true )
| ~ spl0_119 ),
inference(avatar_component_clause,[status(thm)],[f3150]) ).
thf(f3150,definition,
( spl0_119
<=> ( ( sK3 @ sK4 @ sK2 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_119])],[avatar_definition]) ).
thf(f4059,plain,
( spl0_9
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51 ),
inference(avatar_contradiction_clause,[status(thm)],[f4058]) ).
thf(f4058,plain,
( $false
| spl0_9
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51 ),
inference(subsumption_resolution,[status(thm)],[f4057,f93]) ).
thf(f4057,plain,
( ( sK8 = sK4 )
| spl0_9
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51 ),
inference(subsumption_resolution,[status(thm)],[f4056,f286]) ).
thf(f4056,plain,
( ( sK8 = sK5 )
| ( sK8 = sK4 )
| spl0_9
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51 ),
inference(subsumption_resolution,[status(thm)],[f4055,f83]) ).
thf(f4055,plain,
( ( sK8 = sK2 )
| ( sK8 = sK5 )
| ( sK8 = sK4 )
| spl0_9
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51 ),
inference(trivial_inequality_removal,[status(thm)],[f4052]) ).
thf(f4052,plain,
( ( sK8 = sK4 )
| ( sK8 = sK2 )
| ( $false != $false )
| ( sK8 = sK5 )
| spl0_9
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51 ),
inference(superposition,[status(thm)],[f186,f3042]) ).
thf(f3042,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK4 @ X0 )
= $false )
| ( sK2 = X0 )
| ( sK5 = X0 )
| ( sK4 = X0 ) )
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51 ),
inference(trivial_inequality_removal,[status(thm)],[f3041]) ).
thf(f3041,plain,
( ! [X0: $i] :
( ( sK4 = X0 )
| ( $false = $true )
| ( sK5 = X0 )
| ( ( sK3 @ sK4 @ X0 )
= $false )
| ( sK2 = X0 ) )
| ~ spl0_44
| ~ spl0_45
| ~ spl0_51 ),
inference(backward_subsumption_demodulation,[status(thm)],[f2471,f637]) ).
thf(f186,plain,
( ( ( sK3 @ sK4 @ sK8 )
!= $false )
| spl0_9 ),
inference(avatar_component_clause,[status(thm)],[f185]) ).
thf(f3891,plain,
( ~ spl0_25
| spl0_58 ),
inference(avatar_contradiction_clause,[status(thm)],[f3890]) ).
thf(f3890,plain,
( $false
| ~ spl0_25
| spl0_58 ),
inference(trivial_inequality_removal,[status(thm)],[f3889]) ).
thf(f3889,plain,
( ( $false = $true )
| ~ spl0_25
| spl0_58 ),
inference(forward_demodulation,[status(thm)],[f3887,f274]) ).
thf(f274,plain,
( ( ( sK3 @ sK6 @ sK7 )
= $false )
| ~ spl0_25 ),
inference(avatar_component_clause,[status(thm)],[f272]) ).
thf(f3887,plain,
( ( ( sK3 @ sK6 @ sK7 )
= $true )
| spl0_58 ),
inference(trivial_inequality_removal,[status(thm)],[f3883]) ).
thf(f3883,plain,
( ( ( sK3 @ sK6 @ sK7 )
= $true )
| ( $false != $false )
| spl0_58 ),
inference(superposition,[status(thm)],[f698,f58]) ).
thf(f698,plain,
( ( ( sK3 @ sK7 @ sK6 )
!= $false )
| spl0_58 ),
inference(avatar_component_clause,[status(thm)],[f697]) ).
thf(f3779,plain,
( spl0_3
| ~ spl0_56 ),
inference(avatar_contradiction_clause,[status(thm)],[f3778]) ).
thf(f3778,plain,
( $false
| spl0_3
| ~ spl0_56 ),
inference(trivial_inequality_removal,[status(thm)],[f3777]) ).
thf(f3777,plain,
( ( $false = $true )
| spl0_3
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f3775,f688]) ).
thf(f3775,plain,
( ( ( sK3 @ sK6 @ sK5 )
= $true )
| spl0_3 ),
inference(trivial_inequality_removal,[status(thm)],[f3773]) ).
thf(f3773,plain,
( ( ( sK3 @ sK6 @ sK5 )
= $true )
| ( $false != $false )
| spl0_3 ),
inference(superposition,[status(thm)],[f162,f58]) ).
thf(f162,plain,
( ( ( sK3 @ sK5 @ sK6 )
!= $false )
| spl0_3 ),
inference(avatar_component_clause,[status(thm)],[f161]) ).
thf(f161,definition,
( spl0_3
<=> ( ( sK3 @ sK5 @ sK6 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition]) ).
thf(f3634,plain,
( spl0_47
| ~ spl0_49
| spl0_52 ),
inference(avatar_contradiction_clause,[status(thm)],[f3633]) ).
thf(f3633,plain,
( $false
| spl0_47
| ~ spl0_49
| spl0_52 ),
inference(subsumption_resolution,[status(thm)],[f3632,f669]) ).
thf(f669,plain,
( ( ( sK3 @ sK5 @ sK4 )
!= $false )
| spl0_52 ),
inference(avatar_component_clause,[status(thm)],[f668]) ).
thf(f3632,plain,
( ( ( sK3 @ sK5 @ sK4 )
= $false )
| spl0_47
| ~ spl0_49 ),
inference(subsumption_resolution,[status(thm)],[f3631,f81]) ).
thf(f3631,plain,
( ( sK5 = sK4 )
| ( ( sK3 @ sK5 @ sK4 )
= $false )
| spl0_47
| ~ spl0_49 ),
inference(subsumption_resolution,[status(thm)],[f3630,f93]) ).
thf(f3630,plain,
( ( sK8 = sK4 )
| ( ( sK3 @ sK5 @ sK4 )
= $false )
| ( sK5 = sK4 )
| spl0_47
| ~ spl0_49 ),
inference(trivial_inequality_removal,[status(thm)],[f3623]) ).
thf(f3623,plain,
( ( ( sK3 @ sK5 @ sK4 )
= $false )
| ( sK8 = sK4 )
| ( sK5 = sK4 )
| ( $false != $false )
| spl0_47
| ~ spl0_49 ),
inference(superposition,[status(thm)],[f650,f658]) ).
thf(f3612,plain,
( spl0_48
| spl0_9 ),
inference(avatar_split_clause,[status(thm)],[f3611,f185,f653]) ).
thf(f3611,plain,
( ! [X0: $i] :
( ( sK4 = X0 )
| ( sK8 = X0 )
| ( ( sK3 @ sK4 @ X0 )
= $false )
| ( ( sK3 @ sK8 @ X0 )
= $false ) )
| spl0_9 ),
inference(subsumption_resolution,[status(thm)],[f3606,f93]) ).
thf(f3606,plain,
( ! [X0: $i] :
( ( sK8 = X0 )
| ( ( sK3 @ sK8 @ X0 )
= $false )
| ( sK4 = X0 )
| ( sK8 = sK4 )
| ( ( sK3 @ sK4 @ X0 )
= $false ) )
| spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f3603]) ).
thf(f3603,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK4 @ X0 )
= $false )
| ( $false != $false )
| ( sK4 = X0 )
| ( sK8 = sK4 )
| ( sK8 = X0 )
| ( ( sK3 @ sK8 @ X0 )
= $false ) )
| spl0_9 ),
inference(superposition,[status(thm)],[f186,f680]) ).
thf(f3610,plain,
( spl0_9
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[status(thm)],[f3609]) ).
thf(f3609,plain,
( $false
| spl0_9
| ~ spl0_47 ),
inference(trivial_inequality_removal,[status(thm)],[f3608]) ).
thf(f3608,plain,
( ( $false = $true )
| spl0_9
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f3607,f651]) ).
thf(f3607,plain,
( ( ( sK3 @ sK8 @ sK4 )
= $true )
| spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f3604]) ).
thf(f3604,plain,
( ( ( sK3 @ sK8 @ sK4 )
= $true )
| ( $false != $false )
| spl0_9 ),
inference(superposition,[status(thm)],[f186,f58]) ).
thf(f3549,plain,
( spl0_119
| spl0_18 ),
inference(avatar_split_clause,[status(thm)],[f3546,f221,f3150]) ).
thf(f3546,plain,
( ( ( sK3 @ sK4 @ sK2 )
= $true )
| spl0_18 ),
inference(trivial_inequality_removal,[status(thm)],[f3545]) ).
thf(f3545,plain,
( ( ( sK3 @ sK4 @ sK2 )
= $true )
| ( $false != $false )
| spl0_18 ),
inference(superposition,[status(thm)],[f222,f58]) ).
thf(f3538,plain,
( spl0_54
| spl0_72 ),
inference(avatar_contradiction_clause,[status(thm)],[f3537]) ).
thf(f3537,plain,
( $false
| spl0_54
| spl0_72 ),
inference(trivial_inequality_removal,[status(thm)],[f3536]) ).
thf(f3536,plain,
( ( $false != $false )
| spl0_54
| spl0_72 ),
inference(boolean_simplification,[status(thm)],[f3535]) ).
thf(f3535,plain,
( ( ( ~ $true ) != $false )
| spl0_54
| spl0_72 ),
inference(backward_demodulation,[status(thm)],[f1001,f3534]) ).
thf(f3534,plain,
( ( ( sK3 @ sK2 @ sK6 )
= $true )
| spl0_54 ),
inference(trivial_inequality_removal,[status(thm)],[f3532]) ).
thf(f3532,plain,
( ( $false != $false )
| ( ( sK3 @ sK2 @ sK6 )
= $true )
| spl0_54 ),
inference(superposition,[status(thm)],[f677,f58]) ).
thf(f1001,plain,
( ( ( ~ ( sK3 @ sK2 @ sK6 ) )
!= $false )
| spl0_72 ),
inference(avatar_component_clause,[status(thm)],[f1000]) ).
thf(f3515,plain,
( ~ spl0_6
| ~ spl0_45
| ~ spl0_56 ),
inference(avatar_contradiction_clause,[status(thm)],[f3514]) ).
thf(f3514,plain,
( $false
| ~ spl0_6
| ~ spl0_45
| ~ spl0_56 ),
inference(trivial_inequality_removal,[status(thm)],[f3513]) ).
thf(f3513,plain,
( ( $false = $true )
| ~ spl0_6
| ~ spl0_45
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f3512,f688]) ).
thf(f3512,plain,
( ( ( sK3 @ sK6 @ sK5 )
= $true )
| ~ spl0_6
| ~ spl0_45 ),
inference(subsumption_resolution,[status(thm)],[f3511,f87]) ).
thf(f3511,plain,
( ( sK6 = sK2 )
| ( ( sK3 @ sK6 @ sK5 )
= $true )
| ~ spl0_6
| ~ spl0_45 ),
inference(subsumption_resolution,[status(thm)],[f3504,f95]) ).
thf(f3504,plain,
( ( sK5 = sK6 )
| ( sK6 = sK2 )
| ( ( sK3 @ sK6 @ sK5 )
= $true )
| ~ spl0_6
| ~ spl0_45 ),
inference(trivial_inequality_removal,[status(thm)],[f3502]) ).
thf(f3502,plain,
( ( ( sK3 @ sK6 @ sK5 )
= $true )
| ( sK6 = sK2 )
| ( $false = $true )
| ( sK5 = sK6 )
| ~ spl0_6
| ~ spl0_45 ),
inference(superposition,[status(thm)],[f174,f2467]) ).
thf(f2467,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK2 @ X0 )
= $true )
| ( sK2 = X0 )
| ( ( sK3 @ X0 @ sK5 )
= $true )
| ( sK5 = X0 ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[status(thm)],[f2452]) ).
thf(f2452,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK2 @ X0 )
= $true )
| ( sK2 = X0 )
| ( sK5 = X0 )
| ( $false = $true )
| ( ( sK3 @ X0 @ sK5 )
= $true ) )
| ~ spl0_45 ),
inference(superposition,[status(thm)],[f58,f2415]) ).
thf(f3485,plain,
( spl0_134
| spl0_20 ),
inference(avatar_split_clause,[status(thm)],[f3484,f235,f3417]) ).
thf(f3484,plain,
( ( ( sK3 @ sK8 @ sK2 )
= $true )
| spl0_20 ),
inference(trivial_inequality_removal,[status(thm)],[f3481]) ).
thf(f3481,plain,
( ( $false != $false )
| ( ( sK3 @ sK8 @ sK2 )
= $true )
| spl0_20 ),
inference(superposition,[status(thm)],[f236,f58]) ).
thf(f3458,plain,
( ~ spl0_30
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[status(thm)],[f3457]) ).
thf(f3457,plain,
( $false
| ~ spl0_30
| ~ spl0_125 ),
inference(trivial_inequality_removal,[status(thm)],[f3456]) ).
thf(f3456,plain,
( ( $false = $true )
| ~ spl0_30
| ~ spl0_125 ),
inference(boolean_simplification,[status(thm)],[f3455]) ).
thf(f3455,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_30
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f3232,f307]) ).
thf(f3232,plain,
( ( ( ~ ( sK3 @ sK4 @ sK7 ) )
= $false )
| ~ spl0_125 ),
inference(avatar_component_clause,[status(thm)],[f3230]) ).
thf(f3265,plain,
( ~ spl0_58
| ~ spl0_113 ),
inference(avatar_contradiction_clause,[status(thm)],[f3264]) ).
thf(f3264,plain,
( $false
| ~ spl0_58
| ~ spl0_113 ),
inference(trivial_inequality_removal,[status(thm)],[f3263]) ).
thf(f3263,plain,
( ( $false = $true )
| ~ spl0_58
| ~ spl0_113 ),
inference(boolean_simplification,[status(thm)],[f3262]) ).
thf(f3262,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_58
| ~ spl0_113 ),
inference(backward_demodulation,[status(thm)],[f3033,f699]) ).
thf(f3033,plain,
( ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ~ spl0_113 ),
inference(avatar_component_clause,[status(thm)],[f3031]) ).
thf(f3218,plain,
( spl0_23
| spl0_56
| ~ spl0_57 ),
inference(avatar_contradiction_clause,[status(thm)],[f3217]) ).
thf(f3217,plain,
( $false
| spl0_23
| spl0_56
| ~ spl0_57 ),
inference(subsumption_resolution,[status(thm)],[f3216,f265]) ).
thf(f3216,plain,
( ( sK5 = sK7 )
| spl0_23
| spl0_56
| ~ spl0_57 ),
inference(subsumption_resolution,[status(thm)],[f3215,f687]) ).
thf(f3215,plain,
( ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( sK5 = sK7 )
| spl0_23
| ~ spl0_57 ),
inference(subsumption_resolution,[status(thm)],[f2006,f95]) ).
thf(f2006,plain,
( ( sK5 = sK6 )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( sK5 = sK7 )
| spl0_23
| ~ spl0_57 ),
inference(trivial_inequality_removal,[status(thm)],[f1995]) ).
thf(f1995,plain,
( ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( $false = $true )
| ( sK5 = sK7 )
| ( sK5 = sK6 )
| spl0_23
| ~ spl0_57 ),
inference(superposition,[status(thm)],[f695,f1981]) ).
thf(f1981,plain,
( ( ( sK3 @ sK7 @ sK5 )
= $true )
| spl0_23 ),
inference(trivial_inequality_removal,[status(thm)],[f1977]) ).
thf(f1977,plain,
( ( ( sK3 @ sK7 @ sK5 )
= $true )
| ( $false != $false )
| spl0_23 ),
inference(superposition,[status(thm)],[f258,f58]) ).
thf(f695,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK7 @ X0 )
= $false )
| ( sK6 = X0 )
| ( ( sK3 @ sK6 @ X0 )
= $false )
| ( sK7 = X0 ) )
| ~ spl0_57 ),
inference(avatar_component_clause,[status(thm)],[f694]) ).
thf(f694,definition,
( spl0_57
<=> ! [X0: $i] :
( ( sK7 = X0 )
| ( ( sK3 @ sK6 @ X0 )
= $false )
| ( sK6 = X0 )
| ( ( sK3 @ sK7 @ X0 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_57])],[avatar_definition]) ).
thf(f3206,plain,
( ~ spl0_41
| ~ spl0_45
| spl0_56
| ~ spl0_57 ),
inference(avatar_contradiction_clause,[status(thm)],[f3205]) ).
thf(f3205,plain,
( $false
| ~ spl0_41
| ~ spl0_45
| spl0_56
| ~ spl0_57 ),
inference(trivial_inequality_removal,[status(thm)],[f3204]) ).
thf(f3204,plain,
( ( $false = $true )
| ~ spl0_41
| ~ spl0_45
| spl0_56
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f3203,f625]) ).
thf(f625,plain,
( ( ( sK3 @ sK7 @ sK2 )
= $false )
| ~ spl0_41 ),
inference(avatar_component_clause,[status(thm)],[f623]) ).
thf(f3203,plain,
( ( ( sK3 @ sK7 @ sK2 )
= $true )
| ~ spl0_45
| spl0_56
| ~ spl0_57 ),
inference(subsumption_resolution,[status(thm)],[f3202,f79]) ).
thf(f3202,plain,
( ( ( sK3 @ sK7 @ sK2 )
= $true )
| ( sK2 = sK7 )
| ~ spl0_45
| spl0_56
| ~ spl0_57 ),
inference(subsumption_resolution,[status(thm)],[f3201,f687]) ).
thf(f3201,plain,
( ( ( sK3 @ sK7 @ sK2 )
= $true )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( sK2 = sK7 )
| ~ spl0_45
| ~ spl0_57 ),
inference(subsumption_resolution,[status(thm)],[f3200,f265]) ).
thf(f3200,plain,
( ( ( sK3 @ sK7 @ sK2 )
= $true )
| ( sK5 = sK7 )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( sK2 = sK7 )
| ~ spl0_45
| ~ spl0_57 ),
inference(subsumption_resolution,[status(thm)],[f2613,f95]) ).
thf(f2613,plain,
( ( sK5 = sK6 )
| ( ( sK3 @ sK7 @ sK2 )
= $true )
| ( sK5 = sK7 )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( sK2 = sK7 )
| ~ spl0_45
| ~ spl0_57 ),
inference(trivial_inequality_removal,[status(thm)],[f2612]) ).
thf(f2612,plain,
( ( sK5 = sK6 )
| ( sK5 = sK7 )
| ( $false = $true )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( sK2 = sK7 )
| ( ( sK3 @ sK7 @ sK2 )
= $true )
| ~ spl0_45
| ~ spl0_57 ),
inference(duplicate_literal_removal,[status(thm)],[f2580]) ).
thf(f2580,plain,
( ( ( sK3 @ sK7 @ sK2 )
= $true )
| ( sK5 = sK7 )
| ( sK5 = sK7 )
| ( sK2 = sK7 )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( $false = $true )
| ( sK5 = sK6 )
| ~ spl0_45
| ~ spl0_57 ),
inference(superposition,[status(thm)],[f695,f2513]) ).
thf(f3183,plain,
( ~ spl0_45
| spl0_56
| ~ spl0_64
| ~ spl0_68 ),
inference(avatar_contradiction_clause,[status(thm)],[f3182]) ).
thf(f3182,plain,
( $false
| ~ spl0_45
| spl0_56
| ~ spl0_64
| ~ spl0_68 ),
inference(trivial_inequality_removal,[status(thm)],[f3181]) ).
thf(f3181,plain,
( ( $false = $true )
| ~ spl0_45
| spl0_56
| ~ spl0_64
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f3180,f746]) ).
thf(f3180,plain,
( ( ( sK3 @ sK8 @ sK2 )
= $true )
| ~ spl0_45
| spl0_56
| ~ spl0_64 ),
inference(subsumption_resolution,[status(thm)],[f3179,f687]) ).
thf(f3179,plain,
( ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( ( sK3 @ sK8 @ sK2 )
= $true )
| ~ spl0_45
| ~ spl0_64 ),
inference(subsumption_resolution,[status(thm)],[f3178,f95]) ).
thf(f3178,plain,
( ( ( sK3 @ sK8 @ sK2 )
= $true )
| ( sK5 = sK6 )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ~ spl0_45
| ~ spl0_64 ),
inference(subsumption_resolution,[status(thm)],[f3177,f286]) ).
thf(f3177,plain,
( ( sK8 = sK5 )
| ( sK5 = sK6 )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( ( sK3 @ sK8 @ sK2 )
= $true )
| ~ spl0_45
| ~ spl0_64 ),
inference(subsumption_resolution,[status(thm)],[f2623,f83]) ).
thf(f2623,plain,
( ( sK8 = sK2 )
| ( sK8 = sK5 )
| ( ( sK3 @ sK8 @ sK2 )
= $true )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( sK5 = sK6 )
| ~ spl0_45
| ~ spl0_64 ),
inference(trivial_inequality_removal,[status(thm)],[f2622]) ).
thf(f2622,plain,
( ( sK8 = sK5 )
| ( $false = $true )
| ( sK5 = sK6 )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( ( sK3 @ sK8 @ sK2 )
= $true )
| ( sK8 = sK2 )
| ~ spl0_45
| ~ spl0_64 ),
inference(duplicate_literal_removal,[status(thm)],[f2565]) ).
thf(f2565,plain,
( ( $false = $true )
| ( sK5 = sK6 )
| ( sK8 = sK5 )
| ( sK8 = sK2 )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( sK8 = sK5 )
| ( ( sK3 @ sK8 @ sK2 )
= $true )
| ~ spl0_45
| ~ spl0_64 ),
inference(superposition,[status(thm)],[f2513,f724]) ).
thf(f3117,plain,
( spl0_116
| spl0_115 ),
inference(avatar_split_clause,[status(thm)],[f1757,f3063,f3067]) ).
thf(f1757,plain,
! [X0: $i] :
( ( sK6 = X0 )
| ( sK8 = X0 )
| ( $false
= ( ~ ( sK3 @ sK8 @ X0 ) ) )
| ( $false
= ( ~ ( sK3 @ sK8 @ sK6 ) ) )
| ( ( ~ ( sK3 @ sK6 @ X0 ) )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f1745]) ).
thf(f1745,plain,
! [X0: $i] :
( ( sK8 = X0 )
| ( $false = $true )
| ( sK6 = X0 )
| ( $false
= ( ~ ( sK3 @ sK8 @ X0 ) ) )
| ( ( ~ ( sK3 @ sK6 @ X0 ) )
= $false )
| ( $false
= ( ~ ( sK3 @ sK8 @ sK6 ) ) ) ),
inference(superposition,[status(thm)],[f38,f1328]) ).
thf(f3099,plain,
( ~ spl0_45
| ~ spl0_54
| ~ spl0_56 ),
inference(avatar_contradiction_clause,[status(thm)],[f3098]) ).
thf(f3098,plain,
( $false
| ~ spl0_45
| ~ spl0_54
| ~ spl0_56 ),
inference(trivial_inequality_removal,[status(thm)],[f3097]) ).
thf(f3097,plain,
( ( $false = $true )
| ~ spl0_45
| ~ spl0_54
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f3096,f678]) ).
thf(f3096,plain,
( ( ( sK3 @ sK6 @ sK2 )
= $true )
| ~ spl0_45
| ~ spl0_56 ),
inference(subsumption_resolution,[status(thm)],[f3095,f95]) ).
thf(f3095,plain,
( ( sK5 = sK6 )
| ( ( sK3 @ sK6 @ sK2 )
= $true )
| ~ spl0_45
| ~ spl0_56 ),
inference(subsumption_resolution,[status(thm)],[f2611,f87]) ).
thf(f2611,plain,
( ( ( sK3 @ sK6 @ sK2 )
= $true )
| ( sK6 = sK2 )
| ( sK5 = sK6 )
| ~ spl0_45
| ~ spl0_56 ),
inference(trivial_inequality_removal,[status(thm)],[f2570]) ).
thf(f2570,plain,
( ( ( sK3 @ sK6 @ sK2 )
= $true )
| ( sK5 = sK6 )
| ( $false = $true )
| ( sK6 = sK2 )
| ~ spl0_45
| ~ spl0_56 ),
inference(superposition,[status(thm)],[f688,f2513]) ).
thf(f3017,plain,
( ~ spl0_41
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[status(thm)],[f3016]) ).
thf(f3016,plain,
( $false
| ~ spl0_41
| ~ spl0_97 ),
inference(trivial_inequality_removal,[status(thm)],[f3015]) ).
thf(f3015,plain,
( ( $false = $true )
| ~ spl0_41
| ~ spl0_97 ),
inference(boolean_simplification,[status(thm)],[f3014]) ).
thf(f3014,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_41
| ~ spl0_97 ),
inference(backward_demodulation,[status(thm)],[f2886,f625]) ).
thf(f2886,plain,
( ( ( ~ ( sK3 @ sK7 @ sK2 ) )
= $false )
| ~ spl0_97 ),
inference(avatar_component_clause,[status(thm)],[f2884]) ).
thf(f2884,definition,
( spl0_97
<=> ( ( ~ ( sK3 @ sK7 @ sK2 ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_97])],[avatar_definition]) ).
thf(f2909,plain,
( spl0_12
| ~ spl0_66 ),
inference(avatar_contradiction_clause,[status(thm)],[f2908]) ).
thf(f2908,plain,
( $false
| spl0_12
| ~ spl0_66 ),
inference(trivial_inequality_removal,[status(thm)],[f2907]) ).
thf(f2907,plain,
( ( $false = $true )
| spl0_12
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f1580,f734]) ).
thf(f1580,plain,
( ( ( sK3 @ sK6 @ sK4 )
= $true )
| spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f1577]) ).
thf(f1577,plain,
( ( ( sK3 @ sK6 @ sK4 )
= $true )
| ( $false != $false )
| spl0_12 ),
inference(superposition,[status(thm)],[f197,f58]) ).
thf(f2903,plain,
( ~ spl0_7
| spl0_41 ),
inference(avatar_contradiction_clause,[status(thm)],[f2902]) ).
thf(f2902,plain,
( $false
| ~ spl0_7
| spl0_41 ),
inference(trivial_inequality_removal,[status(thm)],[f2901]) ).
thf(f2901,plain,
( ( $false = $true )
| ~ spl0_7
| spl0_41 ),
inference(forward_demodulation,[status(thm)],[f2900,f179]) ).
thf(f179,plain,
( ( $false
= ( sK3 @ sK2 @ sK7 ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[status(thm)],[f177]) ).
thf(f2900,plain,
( ( ( sK3 @ sK2 @ sK7 )
= $true )
| spl0_41 ),
inference(trivial_inequality_removal,[status(thm)],[f2896]) ).
thf(f2896,plain,
( ( $false != $false )
| ( ( sK3 @ sK2 @ sK7 )
= $true )
| spl0_41 ),
inference(superposition,[status(thm)],[f624,f58]) ).
thf(f2891,plain,
( spl0_97
| spl0_98 ),
inference(avatar_split_clause,[status(thm)],[f1761,f2888,f2884]) ).
thf(f1761,plain,
! [X0: $i] :
( ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( sK7 = X0 )
| ( ( ~ ( sK3 @ sK7 @ sK2 ) )
= $false )
| ( ( ~ ( sK3 @ sK7 @ X0 ) )
= $false )
| ( sK2 = X0 ) ),
inference(trivial_inequality_removal,[status(thm)],[f1725]) ).
thf(f1725,plain,
! [X0: $i] :
( ( $false = $true )
| ( sK2 = X0 )
| ( ( ~ ( sK3 @ sK7 @ sK2 ) )
= $false )
| ( sK7 = X0 )
| ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( ( ~ ( sK3 @ sK7 @ X0 ) )
= $false ) ),
inference(superposition,[status(thm)],[f1328,f28]) ).
thf(f2882,plain,
( ~ spl0_20
| ~ spl0_21
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[status(thm)],[f2881]) ).
thf(f2881,plain,
( $false
| ~ spl0_20
| ~ spl0_21
| ~ spl0_41 ),
inference(trivial_inequality_removal,[status(thm)],[f2880]) ).
thf(f2880,plain,
( ( $false = $true )
| ~ spl0_20
| ~ spl0_21
| ~ spl0_41 ),
inference(boolean_simplification,[status(thm)],[f2879]) ).
thf(f2879,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_20
| ~ spl0_21
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f2878,f237]) ).
thf(f2878,plain,
( ( ( ~ ( sK3 @ sK2 @ sK8 ) )
= $false )
| ~ spl0_21
| ~ spl0_41 ),
inference(subsumption_resolution,[status(thm)],[f2877,f85]) ).
thf(f2877,plain,
( ( ( ~ ( sK3 @ sK2 @ sK8 ) )
= $false )
| ( sK8 = sK7 )
| ~ spl0_21
| ~ spl0_41 ),
inference(subsumption_resolution,[status(thm)],[f2813,f83]) ).
thf(f2813,plain,
( ( sK8 = sK2 )
| ( sK8 = sK7 )
| ( ( ~ ( sK3 @ sK2 @ sK8 ) )
= $false )
| ~ spl0_21
| ~ spl0_41 ),
inference(trivial_inequality_removal,[status(thm)],[f2812]) ).
thf(f2812,plain,
( ( sK8 = sK7 )
| ( sK8 = sK2 )
| ( $false = $true )
| ( ( ~ ( sK3 @ sK2 @ sK8 ) )
= $false )
| ~ spl0_21
| ~ spl0_41 ),
inference(boolean_simplification,[status(thm)],[f2796]) ).
thf(f2796,plain,
( ( ( ~ $false ) = $false )
| ( sK8 = sK7 )
| ( ( ~ ( sK3 @ sK2 @ sK8 ) )
= $false )
| ( sK8 = sK2 )
| ~ spl0_21
| ~ spl0_41 ),
inference(superposition,[status(thm)],[f1846,f244]) ).
thf(f244,plain,
( ( ( sK3 @ sK7 @ sK8 )
= $false )
| ~ spl0_21 ),
inference(avatar_component_clause,[status(thm)],[f242]) ).
thf(f1846,plain,
( ! [X0: $i] :
( ( ( ~ ( sK3 @ sK7 @ X0 ) )
= $false )
| ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( sK7 = X0 )
| ( sK2 = X0 ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[status(thm)],[f1845]) ).
thf(f1845,plain,
( ! [X0: $i] :
( ( sK7 = X0 )
| ( $false = $true )
| ( sK2 = X0 )
| ( ( ~ ( sK3 @ sK7 @ X0 ) )
= $false )
| ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false ) )
| ~ spl0_41 ),
inference(boolean_simplification,[status(thm)],[f1844]) ).
thf(f1844,plain,
( ! [X0: $i] :
( ( ( ~ $false ) = $false )
| ( sK7 = X0 )
| ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( ( ~ ( sK3 @ sK7 @ X0 ) )
= $false )
| ( sK2 = X0 ) )
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f1765,f625]) ).
thf(f1765,plain,
! [X0: $i] :
( ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( ( ~ ( sK3 @ sK7 @ X0 ) )
= $false )
| ( sK7 = X0 )
| ( ( ~ ( sK3 @ sK7 @ sK2 ) )
= $false )
| ( sK2 = X0 ) ),
inference(trivial_inequality_removal,[status(thm)],[f1740]) ).
thf(f1740,plain,
! [X0: $i] :
( ( $false = $true )
| ( ( ~ ( sK3 @ sK7 @ X0 ) )
= $false )
| ( sK2 = X0 )
| ( sK7 = X0 )
| ( ( ~ ( sK3 @ sK2 @ X0 ) )
= $false )
| ( ( ~ ( sK3 @ sK7 @ sK2 ) )
= $false ) ),
inference(superposition,[status(thm)],[f28,f1328]) ).
thf(f2874,plain,
( ~ spl0_20
| ~ spl0_27
| ~ spl0_41
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[status(thm)],[f2873]) ).
thf(f2873,plain,
( $false
| ~ spl0_20
| ~ spl0_27
| ~ spl0_41
| ~ spl0_45 ),
inference(trivial_inequality_removal,[status(thm)],[f2872]) ).
thf(f2872,plain,
( ( $false = $true )
| ~ spl0_20
| ~ spl0_27
| ~ spl0_41
| ~ spl0_45 ),
inference(boolean_simplification,[status(thm)],[f2871]) ).
thf(f2871,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_20
| ~ spl0_27
| ~ spl0_41
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f2870,f237]) ).
thf(f2870,plain,
( ( ( ~ ( sK3 @ sK2 @ sK8 ) )
= $false )
| ~ spl0_27
| ~ spl0_41
| ~ spl0_45 ),
inference(trivial_inequality_removal,[status(thm)],[f2869]) ).
thf(f2869,plain,
( ( $false = $true )
| ( ( ~ ( sK3 @ sK2 @ sK8 ) )
= $false )
| ~ spl0_27
| ~ spl0_41
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f2868,f625]) ).
thf(f2868,plain,
( ( ( sK3 @ sK7 @ sK2 )
= $true )
| ( ( ~ ( sK3 @ sK2 @ sK8 ) )
= $false )
| ~ spl0_27
| ~ spl0_41
| ~ spl0_45 ),
inference(subsumption_resolution,[status(thm)],[f2867,f83]) ).
thf(f2867,plain,
( ( sK8 = sK2 )
| ( ( ~ ( sK3 @ sK2 @ sK8 ) )
= $false )
| ( ( sK3 @ sK7 @ sK2 )
= $true )
| ~ spl0_27
| ~ spl0_41
| ~ spl0_45 ),
inference(subsumption_resolution,[status(thm)],[f2866,f79]) ).
thf(f2866,plain,
( ( ( sK3 @ sK7 @ sK2 )
= $true )
| ( ( ~ ( sK3 @ sK2 @ sK8 ) )
= $false )
| ( sK2 = sK7 )
| ( sK8 = sK2 )
| ~ spl0_27
| ~ spl0_41
| ~ spl0_45 ),
inference(subsumption_resolution,[status(thm)],[f2865,f265]) ).
thf(f2865,plain,
( ( ( sK3 @ sK7 @ sK2 )
= $true )
| ( sK5 = sK7 )
| ( sK8 = sK2 )
| ( sK2 = sK7 )
| ( ( ~ ( sK3 @ sK2 @ sK8 ) )
= $false )
| ~ spl0_27
| ~ spl0_41
| ~ spl0_45 ),
inference(subsumption_resolution,[status(thm)],[f2816,f85]) ).
thf(f2816,plain,
( ( sK8 = sK7 )
| ( ( sK3 @ sK7 @ sK2 )
= $true )
| ( ( ~ ( sK3 @ sK2 @ sK8 ) )
= $false )
| ( sK5 = sK7 )
| ( sK2 = sK7 )
| ( sK8 = sK2 )
| ~ spl0_27
| ~ spl0_41
| ~ spl0_45 ),
inference(trivial_inequality_removal,[status(thm)],[f2815]) ).
thf(f2815,plain,
( ( sK5 = sK7 )
| ( ( sK3 @ sK7 @ sK2 )
= $true )
| ( sK2 = sK7 )
| ( sK8 = sK2 )
| ( ( ~ ( sK3 @ sK2 @ sK8 ) )
= $false )
| ( $false = $true )
| ( sK8 = sK7 )
| ~ spl0_27
| ~ spl0_41
| ~ spl0_45 ),
inference(boolean_simplification,[status(thm)],[f2814]) ).
thf(f2814,plain,
( ( sK8 = sK7 )
| ( sK8 = sK2 )
| ( sK5 = sK7 )
| ( ( sK3 @ sK7 @ sK2 )
= $true )
| ( sK2 = sK7 )
| ( ( ~ ( sK3 @ sK2 @ sK8 ) )
= $false )
| ( ( ~ $false ) = $false )
| ~ spl0_27
| ~ spl0_41
| ~ spl0_45 ),
inference(duplicate_literal_removal,[status(thm)],[f2804]) ).
thf(f2804,plain,
( ( sK8 = sK7 )
| ( sK5 = sK7 )
| ( sK8 = sK2 )
| ( ( ~ $false ) = $false )
| ( ( sK3 @ sK7 @ sK2 )
= $true )
| ( sK8 = sK7 )
| ( ( ~ ( sK3 @ sK2 @ sK8 ) )
= $false )
| ( sK2 = sK7 )
| ~ spl0_27
| ~ spl0_41
| ~ spl0_45 ),
inference(superposition,[status(thm)],[f1846,f2509]) ).
thf(f2509,plain,
( ! [X0: $i] :
( ( ( sK3 @ X0 @ sK8 )
= $false )
| ( ( sK3 @ X0 @ sK2 )
= $true )
| ( sK2 = X0 )
| ( sK8 = X0 )
| ( sK5 = X0 ) )
| ~ spl0_27
| ~ spl0_45 ),
inference(trivial_inequality_removal,[status(thm)],[f2508]) ).
thf(f2508,plain,
( ! [X0: $i] :
( ( sK8 = X0 )
| ( sK2 = X0 )
| ( sK5 = X0 )
| ( ( sK3 @ X0 @ sK8 )
= $false )
| ( ( sK3 @ X0 @ sK2 )
= $true )
| ( $false = $true ) )
| ~ spl0_27
| ~ spl0_45 ),
inference(duplicate_literal_removal,[status(thm)],[f2483]) ).
thf(f2483,plain,
( ! [X0: $i] :
( ( sK2 = X0 )
| ( sK8 = X0 )
| ( ( sK3 @ X0 @ sK2 )
= $true )
| ( sK5 = X0 )
| ( sK5 = X0 )
| ( $false = $true )
| ( ( sK3 @ X0 @ sK8 )
= $false ) )
| ~ spl0_27
| ~ spl0_45 ),
inference(superposition,[status(thm)],[f2426,f790]) ).
thf(f790,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK5 @ X0 )
= $false )
| ( sK5 = X0 )
| ( ( sK3 @ X0 @ sK8 )
= $false )
| ( sK8 = X0 ) )
| ~ spl0_27 ),
inference(equality_proxy_clausification,[status(thm)],[f781]) ).
thf(f781,plain,
( ! [X0: $i] :
( ( ( sK3 @ X0 @ sK8 )
= $false )
| ( ( sK3 @ sK5 @ X0 )
= $false )
| ( ( sK5 = X0 )
= $true )
| ( sK8 = X0 ) )
| ~ spl0_27 ),
inference(not_proxy_clausification,[status(thm)],[f780]) ).
thf(f780,plain,
( ! [X0: $i] :
( ( ( sK5 != X0 )
= $false )
| ( ( sK3 @ sK5 @ X0 )
= $false )
| ( ( sK3 @ X0 @ sK8 )
= $false )
| ( sK8 = X0 ) )
| ~ spl0_27 ),
inference(equality_proxy_clausification,[status(thm)],[f755]) ).
thf(f755,plain,
( ! [X0: $i] :
( ( ( sK5 != X0 )
= $false )
| ( ( sK3 @ sK5 @ X0 )
= $false )
| ( ( sK3 @ X0 @ sK8 )
= $false )
| ( ( sK8 = X0 )
= $true ) )
| ~ spl0_27 ),
inference(not_proxy_clausification,[status(thm)],[f289]) ).
thf(f289,plain,
( ! [X0: $i] :
( ( ( sK8 != X0 )
= $false )
| ( ( sK3 @ X0 @ sK8 )
= $false )
| ( ( sK5 != X0 )
= $false )
| ( ( sK3 @ sK5 @ X0 )
= $false ) )
| ~ spl0_27 ),
inference(avatar_component_clause,[status(thm)],[f288]) ).
thf(f288,definition,
( spl0_27
<=> ! [X0: $i] :
( ( ( sK3 @ X0 @ sK8 )
= $false )
| ( ( sK3 @ sK5 @ X0 )
= $false )
| ( ( sK5 != X0 )
= $false )
| ( ( sK8 != X0 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_27])],[avatar_definition]) ).
thf(f2864,plain,
( ~ spl0_18
| ~ spl0_34
| ~ spl0_41
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[status(thm)],[f2863]) ).
thf(f2863,plain,
( $false
| ~ spl0_18
| ~ spl0_34
| ~ spl0_41
| ~ spl0_45 ),
inference(trivial_inequality_removal,[status(thm)],[f2862]) ).
thf(f2862,plain,
( ( $false = $true )
| ~ spl0_18
| ~ spl0_34
| ~ spl0_41
| ~ spl0_45 ),
inference(boolean_simplification,[status(thm)],[f2861]) ).
thf(f2861,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_18
| ~ spl0_34
| ~ spl0_41
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f2860,f223]) ).
thf(f2860,plain,
( ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ~ spl0_34
| ~ spl0_41
| ~ spl0_45 ),
inference(trivial_inequality_removal,[status(thm)],[f2859]) ).
thf(f2859,plain,
( ( $false = $true )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ~ spl0_34
| ~ spl0_41
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f2858,f625]) ).
thf(f2858,plain,
( ( ( sK3 @ sK7 @ sK2 )
= $true )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ~ spl0_34
| ~ spl0_41
| ~ spl0_45 ),
inference(subsumption_resolution,[status(thm)],[f2857,f265]) ).
thf(f2857,plain,
( ( sK5 = sK7 )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( ( sK3 @ sK7 @ sK2 )
= $true )
| ~ spl0_34
| ~ spl0_41
| ~ spl0_45 ),
inference(subsumption_resolution,[status(thm)],[f2856,f310]) ).
thf(f2856,plain,
( ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( sK4 = sK7 )
| ( sK5 = sK7 )
| ( ( sK3 @ sK7 @ sK2 )
= $true )
| ~ spl0_34
| ~ spl0_41
| ~ spl0_45 ),
inference(subsumption_resolution,[status(thm)],[f2855,f79]) ).
thf(f2855,plain,
( ( sK2 = sK7 )
| ( sK4 = sK7 )
| ( sK5 = sK7 )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( ( sK3 @ sK7 @ sK2 )
= $true )
| ~ spl0_34
| ~ spl0_41
| ~ spl0_45 ),
inference(subsumption_resolution,[status(thm)],[f2819,f91]) ).
thf(f2819,plain,
( ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( ( sK3 @ sK7 @ sK2 )
= $true )
| ( sK4 = sK2 )
| ( sK2 = sK7 )
| ( sK5 = sK7 )
| ( sK4 = sK7 )
| ~ spl0_34
| ~ spl0_41
| ~ spl0_45 ),
inference(trivial_inequality_removal,[status(thm)],[f2818]) ).
thf(f2818,plain,
( ( sK2 = sK7 )
| ( ( sK3 @ sK7 @ sK2 )
= $true )
| ( sK4 = sK7 )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( $false = $true )
| ( sK5 = sK7 )
| ( sK4 = sK2 )
| ~ spl0_34
| ~ spl0_41
| ~ spl0_45 ),
inference(boolean_simplification,[status(thm)],[f2817]) ).
thf(f2817,plain,
( ( ( sK3 @ sK7 @ sK2 )
= $true )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( sK5 = sK7 )
| ( ( ~ $false ) = $false )
| ( sK4 = sK7 )
| ( sK4 = sK2 )
| ( sK2 = sK7 )
| ~ spl0_34
| ~ spl0_41
| ~ spl0_45 ),
inference(duplicate_literal_removal,[status(thm)],[f2799]) ).
thf(f2799,plain,
( ( sK4 = sK7 )
| ( ( ~ $false ) = $false )
| ( sK4 = sK7 )
| ( ( sK3 @ sK7 @ sK2 )
= $true )
| ( sK5 = sK7 )
| ( sK4 = sK2 )
| ( sK2 = sK7 )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ~ spl0_34
| ~ spl0_41
| ~ spl0_45 ),
inference(superposition,[status(thm)],[f1846,f2626]) ).
thf(f2854,plain,
( ~ spl0_18
| ~ spl0_41
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[status(thm)],[f2853]) ).
thf(f2853,plain,
( $false
| ~ spl0_18
| ~ spl0_41
| ~ spl0_59 ),
inference(trivial_inequality_removal,[status(thm)],[f2852]) ).
thf(f2852,plain,
( ( $false = $true )
| ~ spl0_18
| ~ spl0_41
| ~ spl0_59 ),
inference(boolean_simplification,[status(thm)],[f2851]) ).
thf(f2851,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_18
| ~ spl0_41
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f2850,f223]) ).
thf(f2850,plain,
( ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ~ spl0_41
| ~ spl0_59 ),
inference(subsumption_resolution,[status(thm)],[f2849,f310]) ).
thf(f2849,plain,
( ( sK4 = sK7 )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ~ spl0_41
| ~ spl0_59 ),
inference(subsumption_resolution,[status(thm)],[f2835,f91]) ).
thf(f2835,plain,
( ( sK4 = sK2 )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( sK4 = sK7 )
| ~ spl0_41
| ~ spl0_59 ),
inference(trivial_inequality_removal,[status(thm)],[f2834]) ).
thf(f2834,plain,
( ( sK4 = sK7 )
| ( sK4 = sK2 )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( $false = $true )
| ~ spl0_41
| ~ spl0_59 ),
inference(boolean_simplification,[status(thm)],[f2793]) ).
thf(f2793,plain,
( ( sK4 = sK2 )
| ( sK4 = sK7 )
| ( ( ~ $false ) = $false )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ~ spl0_41
| ~ spl0_59 ),
inference(superposition,[status(thm)],[f1846,f705]) ).
thf(f2209,plain,
( spl0_28
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[status(thm)],[f2208]) ).
thf(f2208,plain,
( $false
| spl0_28
| ~ spl0_50 ),
inference(trivial_inequality_removal,[status(thm)],[f2207]) ).
thf(f2207,plain,
( ( $false = $true )
| spl0_28
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f2206,f662]) ).
thf(f2206,plain,
( ( ( sK3 @ sK8 @ sK5 )
= $true )
| spl0_28 ),
inference(trivial_inequality_removal,[status(thm)],[f2203]) ).
thf(f2203,plain,
( ( $false != $false )
| ( ( sK3 @ sK8 @ sK5 )
= $true )
| spl0_28 ),
inference(superposition,[status(thm)],[f292,f58]) ).
thf(f2119,plain,
( ~ spl0_18
| ~ spl0_45
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[status(thm)],[f2118]) ).
thf(f2118,plain,
( $false
| ~ spl0_18
| ~ spl0_45
| ~ spl0_52 ),
inference(trivial_inequality_removal,[status(thm)],[f2117]) ).
thf(f2117,plain,
( ( $false = $true )
| ~ spl0_18
| ~ spl0_45
| ~ spl0_52 ),
inference(boolean_simplification,[status(thm)],[f2116]) ).
thf(f2116,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_18
| ~ spl0_45
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f2115,f223]) ).
thf(f2115,plain,
( ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ~ spl0_45
| ~ spl0_52 ),
inference(subsumption_resolution,[status(thm)],[f2114,f81]) ).
thf(f2114,plain,
( ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( sK5 = sK4 )
| ~ spl0_45
| ~ spl0_52 ),
inference(subsumption_resolution,[status(thm)],[f2113,f91]) ).
thf(f2113,plain,
( ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( sK4 = sK2 )
| ( sK5 = sK4 )
| ~ spl0_45
| ~ spl0_52 ),
inference(trivial_inequality_removal,[status(thm)],[f2112]) ).
thf(f2112,plain,
( ( $false = $true )
| ( sK5 = sK4 )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( sK4 = sK2 )
| ~ spl0_45
| ~ spl0_52 ),
inference(boolean_simplification,[status(thm)],[f2089]) ).
thf(f2089,plain,
( ( sK4 = sK2 )
| ( $false
= ( ~ ( sK3 @ sK2 @ sK4 ) ) )
| ( ( ~ $false ) = $false )
| ( sK5 = sK4 )
| ~ spl0_45
| ~ spl0_52 ),
inference(superposition,[status(thm)],[f1849,f670]) ).
thf(f2084,plain,
( spl0_6
| spl0_12
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[status(thm)],[f2083]) ).
thf(f2083,plain,
( $false
| spl0_6
| spl0_12
| ~ spl0_44 ),
inference(subsumption_resolution,[status(thm)],[f2082,f87]) ).
thf(f2082,plain,
( ( sK6 = sK2 )
| spl0_6
| spl0_12
| ~ spl0_44 ),
inference(subsumption_resolution,[status(thm)],[f2081,f173]) ).
thf(f2081,plain,
( ( ( sK3 @ sK2 @ sK6 )
= $false )
| ( sK6 = sK2 )
| spl0_12
| ~ spl0_44 ),
inference(subsumption_resolution,[status(thm)],[f2070,f75]) ).
thf(f2070,plain,
( ( sK6 = sK4 )
| ( ( sK3 @ sK2 @ sK6 )
= $false )
| ( sK6 = sK2 )
| spl0_12
| ~ spl0_44 ),
inference(trivial_inequality_removal,[status(thm)],[f2069]) ).
thf(f2069,plain,
( ( ( sK3 @ sK2 @ sK6 )
= $false )
| ( sK6 = sK2 )
| ( $false != $false )
| ( sK6 = sK4 )
| spl0_12
| ~ spl0_44 ),
inference(superposition,[status(thm)],[f197,f637]) ).
thf(f2061,plain,
( spl0_50
| spl0_81 ),
inference(avatar_split_clause,[status(thm)],[f2051,f1786,f660]) ).
thf(f1786,definition,
( spl0_81
<=> ( $false
= ( ~ ( sK3 @ sK8 @ sK5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_81])],[avatar_definition]) ).
thf(f2051,plain,
( ( ( sK3 @ sK8 @ sK5 )
= $false )
| spl0_81 ),
inference(not_proxy_clausification,[status(thm)],[f1787]) ).
thf(f1787,plain,
( ( $false
!= ( ~ ( sK3 @ sK8 @ sK5 ) ) )
| spl0_81 ),
inference(avatar_component_clause,[status(thm)],[f1786]) ).
thf(f2048,plain,
( ~ spl0_28
| ~ spl0_81 ),
inference(avatar_contradiction_clause,[status(thm)],[f2047]) ).
thf(f2047,plain,
( $false
| ~ spl0_28
| ~ spl0_81 ),
inference(trivial_inequality_removal,[status(thm)],[f2046]) ).
thf(f2046,plain,
( ( $false = $true )
| ~ spl0_28
| ~ spl0_81 ),
inference(forward_demodulation,[status(thm)],[f2040,f293]) ).
thf(f2040,plain,
( ( ( sK3 @ sK5 @ sK8 )
= $true )
| ~ spl0_81 ),
inference(trivial_inequality_removal,[status(thm)],[f2039]) ).
thf(f2039,plain,
( ( ( sK3 @ sK5 @ sK8 )
= $true )
| ( $false = $true )
| ~ spl0_81 ),
inference(boolean_simplification,[status(thm)],[f2034]) ).
thf(f2034,plain,
( ( ( ~ $false ) = $false )
| ( ( sK3 @ sK5 @ sK8 )
= $true )
| ~ spl0_81 ),
inference(superposition,[status(thm)],[f1788,f58]) ).
thf(f1788,plain,
( ( $false
= ( ~ ( sK3 @ sK8 @ sK5 ) ) )
| ~ spl0_81 ),
inference(avatar_component_clause,[status(thm)],[f1786]) ).
thf(f1971,plain,
( ~ spl0_16
| ~ spl0_75 ),
inference(avatar_contradiction_clause,[status(thm)],[f1970]) ).
thf(f1970,plain,
( $false
| ~ spl0_16
| ~ spl0_75 ),
inference(trivial_inequality_removal,[status(thm)],[f1969]) ).
thf(f1969,plain,
( ( $false = $true )
| ~ spl0_16
| ~ spl0_75 ),
inference(boolean_simplification,[status(thm)],[f1968]) ).
thf(f1968,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_16
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f1199,f215]) ).
thf(f1199,plain,
( ( ( ~ ( sK3 @ sK4 @ sK5 ) )
= $false )
| ~ spl0_75 ),
inference(avatar_component_clause,[status(thm)],[f1197]) ).
thf(f1197,definition,
( spl0_75
<=> ( ( ~ ( sK3 @ sK4 @ sK5 ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_75])],[avatar_definition]) ).
thf(f1967,plain,
( spl0_91
| spl0_92 ),
inference(avatar_split_clause,[status(thm)],[f1777,f1953,f1950]) ).
thf(f1777,plain,
! [X0: $i] :
( ( ( ~ ( sK3 @ sK5 @ X0 ) )
= $false )
| ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false )
| ( sK4 = X0 )
| ( sK5 = X0 )
| ( ( ~ ( sK3 @ sK5 @ sK4 ) )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f1741]) ).
thf(f1741,plain,
! [X0: $i] :
( ( sK4 = X0 )
| ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false )
| ( sK5 = X0 )
| ( ( ~ ( sK3 @ sK5 @ X0 ) )
= $false )
| ( $false = $true )
| ( ( ~ ( sK3 @ sK5 @ sK4 ) )
= $false ) ),
inference(superposition,[status(thm)],[f30,f1328]) ).
thf(f1963,plain,
( ~ spl0_16
| spl0_52 ),
inference(avatar_contradiction_clause,[status(thm)],[f1962]) ).
thf(f1962,plain,
( $false
| ~ spl0_16
| spl0_52 ),
inference(trivial_inequality_removal,[status(thm)],[f1961]) ).
thf(f1961,plain,
( ( $false = $true )
| ~ spl0_16
| spl0_52 ),
inference(backward_demodulation,[status(thm)],[f1650,f215]) ).
thf(f1650,plain,
( ( ( sK3 @ sK4 @ sK5 )
= $true )
| spl0_52 ),
inference(trivial_inequality_removal,[status(thm)],[f1647]) ).
thf(f1647,plain,
( ( ( sK3 @ sK4 @ sK5 )
= $true )
| ( $false != $false )
| spl0_52 ),
inference(superposition,[status(thm)],[f669,f58]) ).
thf(f1852,plain,
( spl0_84
| spl0_83 ),
inference(avatar_split_clause,[status(thm)],[f1756,f1819,f1822]) ).
thf(f1756,plain,
! [X0: $i] :
( ( ( ~ ( sK3 @ sK8 @ sK7 ) )
= $false )
| ( sK7 = X0 )
| ( $false
= ( ~ ( sK3 @ sK8 @ X0 ) ) )
| ( ( ~ ( sK3 @ sK7 @ X0 ) )
= $false )
| ( sK8 = X0 ) ),
inference(trivial_inequality_removal,[status(thm)],[f1743]) ).
thf(f1743,plain,
! [X0: $i] :
( ( $false = $true )
| ( sK7 = X0 )
| ( ( ~ ( sK3 @ sK8 @ sK7 ) )
= $false )
| ( sK8 = X0 )
| ( ( ~ ( sK3 @ sK7 @ X0 ) )
= $false )
| ( $false
= ( ~ ( sK3 @ sK8 @ X0 ) ) ) ),
inference(superposition,[status(thm)],[f34,f1328]) ).
thf(f1643,plain,
( spl0_16
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[status(thm)],[f1642]) ).
thf(f1642,plain,
( $false
| spl0_16
| ~ spl0_52 ),
inference(trivial_inequality_removal,[status(thm)],[f1641]) ).
thf(f1641,plain,
( ( $false = $true )
| spl0_16
| ~ spl0_52 ),
inference(backward_demodulation,[status(thm)],[f1215,f670]) ).
thf(f1215,plain,
( ( ( sK3 @ sK5 @ sK4 )
= $true )
| spl0_16 ),
inference(trivial_inequality_removal,[status(thm)],[f1214]) ).
thf(f1214,plain,
( ( $false != $false )
| ( ( sK3 @ sK5 @ sK4 )
= $true )
| spl0_16 ),
inference(superposition,[status(thm)],[f214,f58]) ).
thf(f1531,plain,
( ~ spl0_30
| ~ spl0_58
| ~ spl0_70 ),
inference(avatar_contradiction_clause,[status(thm)],[f1530]) ).
thf(f1530,plain,
( $false
| ~ spl0_30
| ~ spl0_58
| ~ spl0_70 ),
inference(trivial_inequality_removal,[status(thm)],[f1529]) ).
thf(f1529,plain,
( ( $false = $true )
| ~ spl0_30
| ~ spl0_58
| ~ spl0_70 ),
inference(boolean_simplification,[status(thm)],[f1528]) ).
thf(f1528,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_30
| ~ spl0_58
| ~ spl0_70 ),
inference(backward_demodulation,[status(thm)],[f1456,f699]) ).
thf(f1456,plain,
( ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ~ spl0_30
| ~ spl0_70 ),
inference(subsumption_resolution,[status(thm)],[f1455,f279]) ).
thf(f1455,plain,
( ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ( sK6 = sK7 )
| ~ spl0_30
| ~ spl0_70 ),
inference(subsumption_resolution,[status(thm)],[f1437,f310]) ).
thf(f1437,plain,
( ( sK4 = sK7 )
| ( sK6 = sK7 )
| ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ~ spl0_30
| ~ spl0_70 ),
inference(trivial_inequality_removal,[status(thm)],[f1436]) ).
thf(f1436,plain,
( ( $false = $true )
| ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ( sK4 = sK7 )
| ( sK6 = sK7 )
| ~ spl0_30
| ~ spl0_70 ),
inference(boolean_simplification,[status(thm)],[f1422]) ).
thf(f1422,plain,
( ( ( ~ $false ) = $false )
| ( sK4 = sK7 )
| ( sK6 = sK7 )
| ( $false
= ( ~ ( sK3 @ sK7 @ sK6 ) ) )
| ~ spl0_30
| ~ spl0_70 ),
inference(superposition,[status(thm)],[f1402,f307]) ).
thf(f1402,plain,
( ! [X0: $i] :
( ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false )
| ( sK4 = X0 )
| ( ( ~ ( sK3 @ X0 @ sK6 ) )
= $false )
| ( sK6 = X0 ) )
| ~ spl0_70 ),
inference(equality_proxy_clausification,[status(thm)],[f1389]) ).
thf(f1389,plain,
( ! [X0: $i] :
( ( sK6 = X0 )
| ( ( ~ ( sK3 @ X0 @ sK6 ) )
= $false )
| ( ( sK4 = X0 )
= $true )
| ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false ) )
| ~ spl0_70 ),
inference(not_proxy_clausification,[status(thm)],[f1181]) ).
thf(f1181,plain,
( ! [X0: $i] :
( ( ( sK4 != X0 )
= $false )
| ( ( ~ ( sK3 @ X0 @ sK6 ) )
= $false )
| ( sK6 = X0 )
| ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false ) )
| ~ spl0_70 ),
inference(equality_proxy_clausification,[status(thm)],[f1155]) ).
thf(f1155,plain,
( ! [X0: $i] :
( ( ( ~ ( sK3 @ X0 @ sK6 ) )
= $false )
| ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false )
| ( ( sK6 = X0 )
= $true )
| ( ( sK4 != X0 )
= $false ) )
| ~ spl0_70 ),
inference(not_proxy_clausification,[status(thm)],[f980]) ).
thf(f980,plain,
( ! [X0: $i] :
( ( ( sK6 != X0 )
= $false )
| ( ( sK4 != X0 )
= $false )
| ( ( ~ ( sK3 @ X0 @ sK6 ) )
= $false )
| ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false ) )
| ~ spl0_70 ),
inference(avatar_component_clause,[status(thm)],[f979]) ).
thf(f979,definition,
( spl0_70
<=> ! [X0: $i] :
( ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false )
| ( ( sK4 != X0 )
= $false )
| ( ( ~ ( sK3 @ X0 @ sK6 ) )
= $false )
| ( ( sK6 != X0 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_70])],[avatar_definition]) ).
thf(f1527,plain,
( spl0_58
| ~ spl0_61
| spl0_63 ),
inference(avatar_split_clause,[status(thm)],[f1526,f719,f711,f697]) ).
thf(f1526,plain,
( ( ( sK3 @ sK7 @ sK6 )
= $false )
| ~ spl0_61
| spl0_63 ),
inference(subsumption_resolution,[status(thm)],[f1525,f89]) ).
thf(f1525,plain,
( ( sK8 = sK6 )
| ( ( sK3 @ sK7 @ sK6 )
= $false )
| ~ spl0_61
| spl0_63 ),
inference(subsumption_resolution,[status(thm)],[f1513,f279]) ).
thf(f1513,plain,
( ( sK6 = sK7 )
| ( ( sK3 @ sK7 @ sK6 )
= $false )
| ( sK8 = sK6 )
| ~ spl0_61
| spl0_63 ),
inference(trivial_inequality_removal,[status(thm)],[f1509]) ).
thf(f1509,plain,
( ( $false != $false )
| ( sK8 = sK6 )
| ( sK6 = sK7 )
| ( ( sK3 @ sK7 @ sK6 )
= $false )
| ~ spl0_61
| spl0_63 ),
inference(superposition,[status(thm)],[f720,f712]) ).
thf(f1481,plain,
( ~ spl0_6
| ~ spl0_72 ),
inference(avatar_contradiction_clause,[status(thm)],[f1480]) ).
thf(f1480,plain,
( $false
| ~ spl0_6
| ~ spl0_72 ),
inference(trivial_inequality_removal,[status(thm)],[f1479]) ).
thf(f1479,plain,
( ( $false = $true )
| ~ spl0_6
| ~ spl0_72 ),
inference(boolean_simplification,[status(thm)],[f1478]) ).
thf(f1478,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_6
| ~ spl0_72 ),
inference(backward_demodulation,[status(thm)],[f1002,f174]) ).
thf(f1002,plain,
( ( ( ~ ( sK3 @ sK2 @ sK6 ) )
= $false )
| ~ spl0_72 ),
inference(avatar_component_clause,[status(thm)],[f1000]) ).
thf(f1466,plain,
( spl0_63
| spl0_68
| ~ spl0_33 ),
inference(avatar_split_clause,[status(thm)],[f1465,f417,f744,f719]) ).
thf(f1465,plain,
( ( ( sK3 @ sK8 @ sK6 )
= $false )
| ( ( sK3 @ sK8 @ sK2 )
= $false )
| ~ spl0_33 ),
inference(subsumption_resolution,[status(thm)],[f1115,f89]) ).
thf(f1115,plain,
( ( sK8 = sK6 )
| ( ( sK3 @ sK8 @ sK2 )
= $false )
| ( ( sK3 @ sK8 @ sK6 )
= $false )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[status(thm)],[f1108]) ).
thf(f1108,plain,
( ( ( sK3 @ sK8 @ sK2 )
= $false )
| ( sK8 = sK6 )
| ( ( sK3 @ sK8 @ sK6 )
= $false )
| ( $false = $true )
| ~ spl0_33 ),
inference(superposition,[status(thm)],[f32,f418]) ).
thf(f418,plain,
( ! [X0: $i] :
( ( $false
= ( X0 != sK2 ) )
| ( ( sK3 @ X0 @ sK2 )
= $false )
| ( sK6 = X0 )
| ( ( sK3 @ X0 @ sK6 )
= $false ) )
| ~ spl0_33 ),
inference(avatar_component_clause,[status(thm)],[f417]) ).
thf(f1454,plain,
( ~ spl0_9
| ~ spl0_63
| ~ spl0_70 ),
inference(avatar_contradiction_clause,[status(thm)],[f1453]) ).
thf(f1453,plain,
( $false
| ~ spl0_9
| ~ spl0_63
| ~ spl0_70 ),
inference(trivial_inequality_removal,[status(thm)],[f1452]) ).
thf(f1452,plain,
( ( $false = $true )
| ~ spl0_9
| ~ spl0_63
| ~ spl0_70 ),
inference(boolean_simplification,[status(thm)],[f1451]) ).
thf(f1451,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_9
| ~ spl0_63
| ~ spl0_70 ),
inference(forward_demodulation,[status(thm)],[f1450,f721]) ).
thf(f1450,plain,
( ( $false
= ( ~ ( sK3 @ sK8 @ sK6 ) ) )
| ~ spl0_9
| ~ spl0_70 ),
inference(subsumption_resolution,[status(thm)],[f1449,f89]) ).
thf(f1449,plain,
( ( $false
= ( ~ ( sK3 @ sK8 @ sK6 ) ) )
| ( sK8 = sK6 )
| ~ spl0_9
| ~ spl0_70 ),
inference(subsumption_resolution,[status(thm)],[f1439,f93]) ).
thf(f1439,plain,
( ( $false
= ( ~ ( sK3 @ sK8 @ sK6 ) ) )
| ( sK8 = sK4 )
| ( sK8 = sK6 )
| ~ spl0_9
| ~ spl0_70 ),
inference(trivial_inequality_removal,[status(thm)],[f1438]) ).
thf(f1438,plain,
( ( $false = $true )
| ( sK8 = sK6 )
| ( sK8 = sK4 )
| ( $false
= ( ~ ( sK3 @ sK8 @ sK6 ) ) )
| ~ spl0_9
| ~ spl0_70 ),
inference(boolean_simplification,[status(thm)],[f1423]) ).
thf(f1423,plain,
( ( sK8 = sK6 )
| ( sK8 = sK4 )
| ( $false
= ( ~ ( sK3 @ sK8 @ sK6 ) ) )
| ( ( ~ $false ) = $false )
| ~ spl0_9
| ~ spl0_70 ),
inference(superposition,[status(thm)],[f1402,f187]) ).
thf(f1385,plain,
( spl0_66
| spl0_56
| ~ spl0_34 ),
inference(avatar_split_clause,[status(thm)],[f1384,f421,f686,f732]) ).
thf(f1384,plain,
( ( $false
= ( sK3 @ sK6 @ sK4 ) )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ~ spl0_34 ),
inference(subsumption_resolution,[status(thm)],[f1376,f95]) ).
thf(f1376,plain,
( ( sK5 = sK6 )
| ( $false
= ( sK3 @ sK6 @ sK4 ) )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ~ spl0_34 ),
inference(trivial_inequality_removal,[status(thm)],[f1367]) ).
thf(f1367,plain,
( ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( $false
= ( sK3 @ sK6 @ sK4 ) )
| ( $false = $true )
| ( sK5 = sK6 )
| ~ spl0_34 ),
inference(superposition,[status(thm)],[f422,f24]) ).
thf(f1208,plain,
( spl0_74
| spl0_75
| ~ spl0_3
| ~ spl0_70 ),
inference(avatar_split_clause,[status(thm)],[f1207,f979,f161,f1197,f1193]) ).
thf(f1207,plain,
( ( ( sK4 != sK5 )
= $false )
| ( ( ~ ( sK3 @ sK4 @ sK5 ) )
= $false )
| ~ spl0_3
| ~ spl0_70 ),
inference(trivial_inequality_removal,[status(thm)],[f1206]) ).
thf(f1206,plain,
( ( ( ~ ( sK3 @ sK4 @ sK5 ) )
= $false )
| ( $false = $true )
| ( ( sK4 != sK5 )
= $false )
| ~ spl0_3
| ~ spl0_70 ),
inference(boolean_simplification,[status(thm)],[f1205]) ).
thf(f1205,plain,
( ( ( sK4 != sK5 )
= $false )
| ( ( ~ $false ) = $false )
| ( ( ~ ( sK3 @ sK4 @ sK5 ) )
= $false )
| ~ spl0_3
| ~ spl0_70 ),
inference(forward_demodulation,[status(thm)],[f1162,f163]) ).
thf(f163,plain,
( ( ( sK3 @ sK5 @ sK6 )
= $false )
| ~ spl0_3 ),
inference(avatar_component_clause,[status(thm)],[f161]) ).
thf(f1162,plain,
( ( ( ~ ( sK3 @ sK4 @ sK5 ) )
= $false )
| ( ( sK4 != sK5 )
= $false )
| ( ( ~ ( sK3 @ sK5 @ sK6 ) )
= $false )
| ~ spl0_70 ),
inference(trivial_inequality_removal,[status(thm)],[f1161]) ).
thf(f1161,plain,
( ( ( ~ ( sK3 @ sK5 @ sK6 ) )
= $false )
| ( ( sK4 != sK5 )
= $false )
| ( $false = $true )
| ( ( ~ ( sK3 @ sK4 @ sK5 ) )
= $false )
| ~ spl0_70 ),
inference(superposition,[status(thm)],[f46,f980]) ).
thf(f1188,plain,
( ~ spl0_3
| ~ spl0_16
| ~ spl0_70 ),
inference(avatar_contradiction_clause,[status(thm)],[f1187]) ).
thf(f1187,plain,
( $false
| ~ spl0_3
| ~ spl0_16
| ~ spl0_70 ),
inference(subsumption_resolution,[status(thm)],[f1186,f81]) ).
thf(f1186,plain,
( ( sK5 = sK4 )
| ~ spl0_3
| ~ spl0_16
| ~ spl0_70 ),
inference(equality_proxy_clausification,[status(thm)],[f1185]) ).
thf(f1185,plain,
( ( ( sK4 = sK5 )
= $true )
| ~ spl0_3
| ~ spl0_16
| ~ spl0_70 ),
inference(not_proxy_clausification,[status(thm)],[f1180]) ).
thf(f1180,plain,
( ( ( sK4 != sK5 )
= $false )
| ~ spl0_3
| ~ spl0_16
| ~ spl0_70 ),
inference(trivial_inequality_removal,[status(thm)],[f1179]) ).
thf(f1179,plain,
( ( $false = $true )
| ( ( sK4 != sK5 )
= $false )
| ~ spl0_3
| ~ spl0_16
| ~ spl0_70 ),
inference(boolean_simplification,[status(thm)],[f1178]) ).
thf(f1178,plain,
( ( ( sK4 != sK5 )
= $false )
| ( ( ~ $false ) = $false )
| ~ spl0_3
| ~ spl0_16
| ~ spl0_70 ),
inference(forward_demodulation,[status(thm)],[f1177,f163]) ).
thf(f1177,plain,
( ( ( sK4 != sK5 )
= $false )
| ( ( ~ ( sK3 @ sK5 @ sK6 ) )
= $false )
| ~ spl0_16
| ~ spl0_70 ),
inference(trivial_inequality_removal,[status(thm)],[f1176]) ).
thf(f1176,plain,
( ( ( sK4 != sK5 )
= $false )
| ( ( ~ ( sK3 @ sK5 @ sK6 ) )
= $false )
| ( $false = $true )
| ~ spl0_16
| ~ spl0_70 ),
inference(boolean_simplification,[status(thm)],[f1175]) ).
thf(f1175,plain,
( ( ( ~ ( sK3 @ sK5 @ sK6 ) )
= $false )
| ( ( sK4 != sK5 )
= $false )
| ( ( ~ $false ) = $false )
| ~ spl0_16
| ~ spl0_70 ),
inference(forward_demodulation,[status(thm)],[f1170,f215]) ).
thf(f1170,plain,
( ( ( ~ ( sK3 @ sK5 @ sK6 ) )
= $false )
| ( ( sK4 != sK5 )
= $false )
| ( ( ~ ( sK3 @ sK4 @ sK5 ) )
= $false )
| ~ spl0_70 ),
inference(trivial_inequality_removal,[status(thm)],[f1158]) ).
thf(f1158,plain,
( ( $false = $true )
| ( ( ~ ( sK3 @ sK5 @ sK6 ) )
= $false )
| ( ( ~ ( sK3 @ sK4 @ sK5 ) )
= $false )
| ( ( sK4 != sK5 )
= $false )
| ~ spl0_70 ),
inference(superposition,[status(thm)],[f980,f46]) ).
thf(f1125,plain,
( spl0_58
| spl0_41
| ~ spl0_33 ),
inference(avatar_split_clause,[status(thm)],[f1124,f417,f623,f697]) ).
thf(f1124,plain,
( ( ( sK3 @ sK7 @ sK6 )
= $false )
| ( ( sK3 @ sK7 @ sK2 )
= $false )
| ~ spl0_33 ),
inference(subsumption_resolution,[status(thm)],[f1112,f279]) ).
thf(f1112,plain,
( ( ( sK3 @ sK7 @ sK2 )
= $false )
| ( sK6 = sK7 )
| ( ( sK3 @ sK7 @ sK6 )
= $false )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[status(thm)],[f1102]) ).
thf(f1102,plain,
( ( sK6 = sK7 )
| ( ( sK3 @ sK7 @ sK6 )
= $false )
| ( ( sK3 @ sK7 @ sK2 )
= $false )
| ( $false = $true )
| ~ spl0_33 ),
inference(superposition,[status(thm)],[f418,f28]) ).
thf(f1019,plain,
( spl0_66
| spl0_6
| ~ spl0_17 ),
inference(avatar_split_clause,[status(thm)],[f1018,f218,f172,f732]) ).
thf(f1018,plain,
( ( $false
= ( sK3 @ sK6 @ sK4 ) )
| spl0_6
| ~ spl0_17 ),
inference(subsumption_resolution,[status(thm)],[f1017,f75]) ).
thf(f1017,plain,
( ( $false
= ( sK3 @ sK6 @ sK4 ) )
| ( sK6 = sK4 )
| spl0_6
| ~ spl0_17 ),
inference(subsumption_resolution,[status(thm)],[f1015,f87]) ).
thf(f1015,plain,
( ( sK6 = sK2 )
| ( sK6 = sK4 )
| ( $false
= ( sK3 @ sK6 @ sK4 ) )
| spl0_6
| ~ spl0_17 ),
inference(trivial_inequality_removal,[status(thm)],[f1008]) ).
thf(f1008,plain,
( ( $false != $false )
| ( sK6 = sK4 )
| ( $false
= ( sK3 @ sK6 @ sK4 ) )
| ( sK6 = sK2 )
| spl0_6
| ~ spl0_17 ),
inference(superposition,[status(thm)],[f173,f557]) ).
thf(f557,plain,
( ! [X0: $i] :
( ( ( sK3 @ sK2 @ X0 )
= $false )
| ( ( sK3 @ X0 @ sK4 )
= $false )
| ( sK2 = X0 )
| ( sK4 = X0 ) )
| ~ spl0_17 ),
inference(equality_proxy_clausification,[status(thm)],[f556]) ).
thf(f556,plain,
( ! [X0: $i] :
( ( ( sK2 = X0 )
= $true )
| ( ( sK3 @ sK2 @ X0 )
= $false )
| ( ( sK3 @ X0 @ sK4 )
= $false )
| ( sK4 = X0 ) )
| ~ spl0_17 ),
inference(not_proxy_clausification,[status(thm)],[f555]) ).
thf(f555,plain,
( ! [X0: $i] :
( ( ( sK2 != X0 )
= $false )
| ( ( sK3 @ X0 @ sK4 )
= $false )
| ( sK4 = X0 )
| ( ( sK3 @ sK2 @ X0 )
= $false ) )
| ~ spl0_17 ),
inference(equality_proxy_clausification,[status(thm)],[f546]) ).
thf(f546,plain,
( ! [X0: $i] :
( ( ( sK4 = X0 )
= $true )
| ( ( sK3 @ X0 @ sK4 )
= $false )
| ( ( sK3 @ sK2 @ X0 )
= $false )
| ( ( sK2 != X0 )
= $false ) )
| ~ spl0_17 ),
inference(not_proxy_clausification,[status(thm)],[f219]) ).
thf(f219,plain,
( ! [X0: $i] :
( ( ( sK4 != X0 )
= $false )
| ( ( sK3 @ sK2 @ X0 )
= $false )
| ( ( sK2 != X0 )
= $false )
| ( ( sK3 @ X0 @ sK4 )
= $false ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[status(thm)],[f218]) ).
thf(f996,plain,
~ spl0_32,
inference(avatar_contradiction_clause,[status(thm)],[f995]) ).
thf(f995,plain,
( $false
| ~ spl0_32 ),
inference(trivial_inequality_removal,[status(thm)],[f994]) ).
thf(f994,plain,
( ( $false = $true )
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f40,f337]) ).
thf(f337,plain,
( ( ( sK4 != sK2 )
= $false )
| ~ spl0_32 ),
inference(avatar_component_clause,[status(thm)],[f335]) ).
thf(f993,plain,
( ~ spl0_12
| ~ spl0_69 ),
inference(avatar_contradiction_clause,[status(thm)],[f992]) ).
thf(f992,plain,
( $false
| ~ spl0_12
| ~ spl0_69 ),
inference(trivial_inequality_removal,[status(thm)],[f991]) ).
thf(f991,plain,
( ( $false = $true )
| ~ spl0_12
| ~ spl0_69 ),
inference(boolean_simplification,[status(thm)],[f990]) ).
thf(f990,plain,
( ( ( ~ $false ) = $false )
| ~ spl0_12
| ~ spl0_69 ),
inference(backward_demodulation,[status(thm)],[f977,f198]) ).
thf(f198,plain,
( ( ( sK3 @ sK4 @ sK6 )
= $false )
| ~ spl0_12 ),
inference(avatar_component_clause,[status(thm)],[f196]) ).
thf(f977,plain,
( ( ( ~ ( sK3 @ sK4 @ sK6 ) )
= $false )
| ~ spl0_69 ),
inference(avatar_component_clause,[status(thm)],[f975]) ).
thf(f989,plain,
( spl0_12
| spl0_71 ),
inference(avatar_split_clause,[status(thm)],[f412,f983,f196]) ).
thf(f412,plain,
! [X0: $i] :
( ( ( sK3 @ sK4 @ sK6 )
= $false )
| ( ( X0 != sK4 )
= $false )
| ( ( sK3 @ X0 @ sK6 )
= $false )
| ( sK6 = X0 )
| ( ( sK3 @ X0 @ sK4 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f355]) ).
thf(f355,plain,
! [X0: $i] :
( ( $false = $true )
| ( ( sK3 @ sK4 @ sK6 )
= $false )
| ( sK6 = X0 )
| ( ( sK3 @ X0 @ sK4 )
= $false )
| ( ( X0 != sK4 )
= $false )
| ( ( sK3 @ X0 @ sK6 )
= $false ) ),
inference(superposition,[status(thm)],[f225,f24]) ).
thf(f988,plain,
( spl0_70
| spl0_69 ),
inference(avatar_split_clause,[status(thm)],[f842,f975,f979]) ).
thf(f842,plain,
! [X0: $i] :
( ( ( sK4 != X0 )
= $false )
| ( ( sK6 != X0 )
= $false )
| ( ( ~ ( sK3 @ X0 @ sK6 ) )
= $false )
| ( ( ~ ( sK3 @ sK4 @ sK6 ) )
= $false )
| ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f807]) ).
thf(f807,plain,
! [X0: $i] :
( ( ( ~ ( sK3 @ sK4 @ sK6 ) )
= $false )
| ( $false = $true )
| ( ( sK4 != X0 )
= $false )
| ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false )
| ( ( sK6 != X0 )
= $false )
| ( ( ~ ( sK3 @ X0 @ sK6 ) )
= $false ) ),
inference(superposition,[status(thm)],[f24,f71]) ).
thf(f972,plain,
( spl0_32
| ~ spl0_6
| ~ spl0_12
| ~ spl0_31 ),
inference(avatar_split_clause,[status(thm)],[f971,f331,f196,f172,f335]) ).
thf(f971,plain,
( ( ( sK4 != sK2 )
= $false )
| ~ spl0_6
| ~ spl0_12
| ~ spl0_31 ),
inference(trivial_inequality_removal,[status(thm)],[f970]) ).
thf(f970,plain,
( ( $false = $true )
| ( ( sK4 != sK2 )
= $false )
| ~ spl0_6
| ~ spl0_12
| ~ spl0_31 ),
inference(boolean_simplification,[status(thm)],[f969]) ).
thf(f969,plain,
( ( ( ~ $false ) = $false )
| ( ( sK4 != sK2 )
= $false )
| ~ spl0_6
| ~ spl0_12
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f968,f333]) ).
thf(f968,plain,
( ( ( ~ ( sK3 @ sK4 @ sK2 ) )
= $false )
| ( ( sK4 != sK2 )
= $false )
| ~ spl0_6
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f967]) ).
thf(f967,plain,
( ( $false = $true )
| ( ( ~ ( sK3 @ sK4 @ sK2 ) )
= $false )
| ( ( sK4 != sK2 )
= $false )
| ~ spl0_6
| ~ spl0_12 ),
inference(boolean_simplification,[status(thm)],[f966]) ).
thf(f966,plain,
( ( ( sK4 != sK2 )
= $false )
| ( ( ~ $false ) = $false )
| ( ( ~ ( sK3 @ sK4 @ sK2 ) )
= $false )
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f944,f174]) ).
thf(f944,plain,
( ( ( ~ ( sK3 @ sK2 @ sK6 ) )
= $false )
| ( ( ~ ( sK3 @ sK4 @ sK2 ) )
= $false )
| ( ( sK4 != sK2 )
= $false )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f941]) ).
thf(f941,plain,
( ( ( sK4 != sK2 )
= $false )
| ( ( ~ ( sK3 @ sK2 @ sK6 ) )
= $false )
| ( ( ~ ( sK3 @ sK4 @ sK2 ) )
= $false )
| ( $false = $true )
| ~ spl0_12 ),
inference(superposition,[status(thm)],[f36,f907]) ).
thf(f907,plain,
( ! [X0: $i] :
( ( ( sK6 != X0 )
= $false )
| ( ( sK4 != X0 )
= $false )
| ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false )
| ( ( ~ ( sK3 @ X0 @ sK6 ) )
= $false ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f906]) ).
thf(f906,plain,
( ! [X0: $i] :
( ( ( ~ ( sK3 @ X0 @ sK6 ) )
= $false )
| ( $false = $true )
| ( ( sK4 != X0 )
= $false )
| ( ( sK6 != X0 )
= $false )
| ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false ) )
| ~ spl0_12 ),
inference(boolean_simplification,[status(thm)],[f905]) ).
thf(f905,plain,
( ! [X0: $i] :
( ( ( sK4 != X0 )
= $false )
| ( ( sK6 != X0 )
= $false )
| ( ( ~ ( sK3 @ X0 @ sK6 ) )
= $false )
| ( ( ~ $false ) = $false )
| ( ( ~ ( sK3 @ sK4 @ X0 ) )
= $false ) )
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f842,f198]) ).
thf(f750,plain,
( spl0_64
| spl0_63 ),
inference(avatar_split_clause,[status(thm)],[f589,f719,f723]) ).
thf(f589,plain,
! [X0: $i] :
( ( ( sK3 @ sK8 @ X0 )
= $false )
| ( sK6 = X0 )
| ( sK8 = X0 )
| ( ( sK3 @ sK6 @ X0 )
= $false )
| ( ( sK3 @ sK8 @ sK6 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f581]) ).
thf(f581,plain,
! [X0: $i] :
( ( $false = $true )
| ( ( sK3 @ sK8 @ X0 )
= $false )
| ( ( sK3 @ sK8 @ sK6 )
= $false )
| ( sK8 = X0 )
| ( sK6 = X0 )
| ( ( sK3 @ sK6 @ X0 )
= $false ) ),
inference(superposition,[status(thm)],[f38,f444]) ).
thf(f749,plain,
( spl0_68
| spl0_67 ),
inference(avatar_split_clause,[status(thm)],[f590,f741,f744]) ).
thf(f590,plain,
! [X0: $i] :
( ( ( sK3 @ sK8 @ X0 )
= $false )
| ( ( sK3 @ sK8 @ sK2 )
= $false )
| ( sK2 = X0 )
| ( sK8 = X0 )
| ( ( sK3 @ sK2 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f563]) ).
thf(f563,plain,
! [X0: $i] :
( ( ( sK3 @ sK2 @ X0 )
= $false )
| ( sK8 = X0 )
| ( ( sK3 @ sK8 @ sK2 )
= $false )
| ( sK2 = X0 )
| ( ( sK3 @ sK8 @ X0 )
= $false )
| ( $false = $true ) ),
inference(superposition,[status(thm)],[f444,f32]) ).
thf(f748,plain,
( spl0_56
| spl0_55 ),
inference(avatar_split_clause,[status(thm)],[f591,f683,f686]) ).
thf(f591,plain,
! [X0: $i] :
( ( sK5 = X0 )
| ( ( sK3 @ sK5 @ X0 )
= $false )
| ( ( sK3 @ sK6 @ X0 )
= $false )
| ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( sK6 = X0 ) ),
inference(trivial_inequality_removal,[status(thm)],[f569]) ).
thf(f569,plain,
! [X0: $i] :
( ( $false
= ( sK3 @ sK6 @ sK5 ) )
| ( sK6 = X0 )
| ( sK5 = X0 )
| ( ( sK3 @ sK6 @ X0 )
= $false )
| ( $false = $true )
| ( ( sK3 @ sK5 @ X0 )
= $false ) ),
inference(superposition,[status(thm)],[f444,f46]) ).
thf(f739,plain,
( spl0_57
| spl0_58 ),
inference(avatar_split_clause,[status(thm)],[f593,f697,f694]) ).
thf(f593,plain,
! [X0: $i] :
( ( ( sK3 @ sK7 @ X0 )
= $false )
| ( sK6 = X0 )
| ( ( sK3 @ sK7 @ sK6 )
= $false )
| ( sK7 = X0 )
| ( ( sK3 @ sK6 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f571]) ).
thf(f571,plain,
! [X0: $i] :
( ( $false = $true )
| ( sK6 = X0 )
| ( ( sK3 @ sK7 @ X0 )
= $false )
| ( ( sK3 @ sK6 @ X0 )
= $false )
| ( sK7 = X0 )
| ( ( sK3 @ sK7 @ sK6 )
= $false ) ),
inference(superposition,[status(thm)],[f444,f50]) ).
thf(f738,plain,
( spl0_66
| spl0_65 ),
inference(avatar_split_clause,[status(thm)],[f594,f729,f732]) ).
thf(f594,plain,
! [X0: $i] :
( ( $false
= ( sK3 @ sK6 @ sK4 ) )
| ( sK6 = X0 )
| ( ( sK3 @ sK4 @ X0 )
= $false )
| ( sK4 = X0 )
| ( ( sK3 @ sK6 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f574]) ).
thf(f574,plain,
! [X0: $i] :
( ( $false = $true )
| ( $false
= ( sK3 @ sK6 @ sK4 ) )
| ( sK4 = X0 )
| ( sK6 = X0 )
| ( ( sK3 @ sK6 @ X0 )
= $false )
| ( ( sK3 @ sK4 @ X0 )
= $false ) ),
inference(superposition,[status(thm)],[f24,f444]) ).
thf(f727,plain,
( spl0_61
| spl0_62 ),
inference(avatar_split_clause,[status(thm)],[f598,f714,f711]) ).
thf(f598,plain,
! [X0: $i] :
( ( ( sK3 @ sK8 @ X0 )
= $false )
| ( ( sK3 @ sK7 @ X0 )
= $false )
| ( $false
= ( sK3 @ sK8 @ sK7 ) )
| ( sK8 = X0 )
| ( sK7 = X0 ) ),
inference(trivial_inequality_removal,[status(thm)],[f579]) ).
thf(f579,plain,
! [X0: $i] :
( ( ( sK3 @ sK8 @ X0 )
= $false )
| ( sK7 = X0 )
| ( ( sK3 @ sK7 @ X0 )
= $false )
| ( sK8 = X0 )
| ( $false
= ( sK3 @ sK8 @ sK7 ) )
| ( $false = $true ) ),
inference(superposition,[status(thm)],[f34,f444]) ).
thf(f701,plain,
( spl0_49
| spl0_50 ),
inference(avatar_split_clause,[status(thm)],[f603,f660,f657]) ).
thf(f603,plain,
! [X0: $i] :
( ( ( sK3 @ sK8 @ X0 )
= $false )
| ( ( sK3 @ sK5 @ X0 )
= $false )
| ( sK5 = X0 )
| ( ( sK3 @ sK8 @ sK5 )
= $false )
| ( sK8 = X0 ) ),
inference(trivial_inequality_removal,[status(thm)],[f587]) ).
thf(f587,plain,
! [X0: $i] :
( ( ( sK3 @ sK5 @ X0 )
= $false )
| ( ( sK3 @ sK8 @ sK5 )
= $false )
| ( sK8 = X0 )
| ( ( sK3 @ sK8 @ X0 )
= $false )
| ( $false = $true )
| ( sK5 = X0 ) ),
inference(superposition,[status(thm)],[f52,f444]) ).
thf(f692,plain,
( spl0_47
| spl0_48 ),
inference(avatar_split_clause,[status(thm)],[f605,f653,f649]) ).
thf(f605,plain,
! [X0: $i] :
( ( ( sK3 @ sK4 @ X0 )
= $false )
| ( sK8 = X0 )
| ( ( sK3 @ sK8 @ X0 )
= $false )
| ( ( sK3 @ sK8 @ sK4 )
= $false )
| ( sK4 = X0 ) ),
inference(trivial_inequality_removal,[status(thm)],[f568]) ).
thf(f568,plain,
! [X0: $i] :
( ( sK4 = X0 )
| ( ( sK3 @ sK8 @ X0 )
= $false )
| ( ( sK3 @ sK8 @ sK4 )
= $false )
| ( sK8 = X0 )
| ( $false = $true )
| ( ( sK3 @ sK4 @ X0 )
= $false ) ),
inference(superposition,[status(thm)],[f444,f44]) ).
thf(f691,plain,
( spl0_52
| spl0_51 ),
inference(avatar_split_clause,[status(thm)],[f606,f665,f668]) ).
thf(f606,plain,
! [X0: $i] :
( ( ( sK3 @ sK4 @ X0 )
= $false )
| ( sK4 = X0 )
| ( ( sK3 @ sK5 @ sK4 )
= $false )
| ( ( sK3 @ sK5 @ X0 )
= $false )
| ( sK5 = X0 ) ),
inference(trivial_inequality_removal,[status(thm)],[f577]) ).
thf(f577,plain,
! [X0: $i] :
( ( ( sK3 @ sK4 @ X0 )
= $false )
| ( $false = $true )
| ( sK5 = X0 )
| ( ( sK3 @ sK5 @ X0 )
= $false )
| ( ( sK3 @ sK5 @ sK4 )
= $false )
| ( sK4 = X0 ) ),
inference(superposition,[status(thm)],[f30,f444]) ).
thf(f681,plain,
( spl0_45
| spl0_46 ),
inference(avatar_split_clause,[status(thm)],[f609,f645,f641]) ).
thf(f609,plain,
! [X0: $i] :
( ( ( sK3 @ sK5 @ sK2 )
= $false )
| ( ( sK3 @ sK2 @ X0 )
= $false )
| ( sK5 = X0 )
| ( ( sK3 @ sK5 @ X0 )
= $false )
| ( sK2 = X0 ) ),
inference(trivial_inequality_removal,[status(thm)],[f575]) ).
thf(f575,plain,
! [X0: $i] :
( ( sK5 = X0 )
| ( ( sK3 @ sK5 @ sK2 )
= $false )
| ( sK2 = X0 )
| ( $false = $true )
| ( ( sK3 @ sK2 @ X0 )
= $false )
| ( ( sK3 @ sK5 @ X0 )
= $false ) ),
inference(superposition,[status(thm)],[f26,f444]) ).
thf(f446,plain,
( spl0_34
| spl0_16 ),
inference(avatar_split_clause,[status(thm)],[f394,f213,f421]) ).
thf(f394,plain,
! [X0: $i] :
( ( sK5 = X0 )
| ( ( X0 != sK4 )
= $false )
| ( ( sK3 @ X0 @ sK4 )
= $false )
| ( ( sK3 @ sK4 @ sK5 )
= $false )
| ( ( sK3 @ X0 @ sK5 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f358]) ).
thf(f358,plain,
! [X0: $i] :
( ( ( sK3 @ sK4 @ sK5 )
= $false )
| ( ( X0 != sK4 )
= $false )
| ( sK5 = X0 )
| ( $false = $true )
| ( ( sK3 @ X0 @ sK5 )
= $false )
| ( ( sK3 @ X0 @ sK4 )
= $false ) ),
inference(superposition,[status(thm)],[f225,f30]) ).
thf(f295,plain,
( spl0_28
| spl0_27 ),
inference(avatar_split_clause,[status(thm)],[f284,f288,f291]) ).
thf(f284,plain,
! [X0: $i] :
( ( ( sK3 @ sK5 @ X0 )
= $false )
| ( ( sK3 @ sK5 @ sK8 )
= $false )
| ( ( sK5 != X0 )
= $false )
| ( ( sK8 != X0 )
= $false )
| ( ( sK3 @ X0 @ sK8 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f282]) ).
thf(f282,plain,
! [X0: $i] :
( ( ( sK3 @ sK5 @ sK8 )
= $false )
| ( ( sK5 != X0 )
= $false )
| ( ( sK8 != X0 )
= $false )
| ( $false = $true )
| ( ( sK3 @ sK5 @ X0 )
= $false )
| ( ( sK3 @ X0 @ sK8 )
= $false ) ),
inference(superposition,[status(thm)],[f52,f73]) ).
thf(f230,plain,
( spl0_15
| spl0_16 ),
inference(avatar_split_clause,[status(thm)],[f127,f213,f210]) ).
thf(f127,plain,
! [X0: $i] :
( ( ( sK4 != X0 )
= $false )
| ( ( sK3 @ sK4 @ sK5 )
= $false )
| ( ( sK3 @ sK4 @ X0 )
= $false )
| ( ( sK5 != X0 )
= $false )
| ( ( sK3 @ X0 @ sK5 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f111]) ).
thf(f111,plain,
! [X0: $i] :
( ( $false = $true )
| ( ( sK4 != X0 )
= $false )
| ( ( sK3 @ X0 @ sK5 )
= $false )
| ( ( sK3 @ sK4 @ sK5 )
= $false )
| ( ( sK3 @ sK4 @ X0 )
= $false )
| ( ( sK5 != X0 )
= $false ) ),
inference(superposition,[status(thm)],[f30,f73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEV108^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.29 % Computer : n026.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Tue Feb 24 12:40:40 EST 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.29 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.19/0.38 ---- Original DTF file ---
% 0.19/0.38 thf(spec,logic,$$dhol).
% 0.19/0.38 %------------------------------------------------------------------------------
% 0.19/0.38 % File : SEV108^5 : TPTP v9.2.1. Released v4.0.0.
% 0.19/0.38 % Domain : Set Theory (Relations)
% 0.19/0.38 % Problem : TPS problem from RELN-THMS
% 0.19/0.38 % Version : Especial.
% 0.19/0.38 % English :
% 0.19/0.38
% 0.19/0.38 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.19/0.38 % Source : [Bro09]
% 0.19/0.38 % Names : tps_1163 [Bro09]
% 0.19/0.38
% 0.19/0.38 % Status : Theorem
% 0.19/0.38 % Rating : 0.33 v9.1.0, 0.38 v9.0.0, 0.50 v8.2.0, 0.38 v8.1.0, 0.36 v7.5.0, 0.57 v7.4.0, 0.33 v7.2.0, 0.25 v7.0.0, 0.29 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.57 v6.1.0, 0.43 v5.5.0, 0.50 v5.4.0, 0.80 v4.1.0, 1.00 v4.0.0
% 0.19/0.38 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.19/0.38 % Number of atoms : 18 ( 18 equ; 0 cnn)
% 0.19/0.38 % Maximal formula atoms : 18 ( 18 avg)
% 0.19/0.38 % Number of connectives : 62 ( 21 ~; 1 |; 22 &; 16 @)
% 0.19/0.38 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.19/0.38 % Maximal formula depth : 25 ( 25 avg)
% 0.19/0.38 % Number of types : 2 ( 0 usr)
% 0.19/0.38 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.19/0.38 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.19/0.38 % Number of variables : 12 ( 0 ^; 9 !; 3 ?; 12 :)
% 0.19/0.38 % SPC : TH0_THM_EQU_NAR
% 0.19/0.38
% 0.19/0.38 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.19/0.38 % project in the Department of Mathematical Sciences at Carnegie
% 0.19/0.38 % Mellon University. Distributed under the Creative Commons copyleft
% 0.19/0.38 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.19/0.38 %------------------------------------------------------------------------------
% 0.19/0.38 thf(cSIX_THEOREM_pme,conjecture,
% 0.19/0.38 ! [R: $i > $i > $o,A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
% 0.19/0.38 ( ( ! [Xx: $i,Xy: $i] :
% 0.19/0.38 ( ( R @ Xx @ Xy )
% 0.19/0.38 => ( R @ Xy @ Xx ) )
% 0.19/0.38 & ( A != B )
% 0.19/0.38 & ( A != C )
% 0.19/0.38 & ( A != D )
% 0.19/0.38 & ( A != E )
% 0.19/0.38 & ( A != F )
% 0.19/0.38 & ( B != C )
% 0.19/0.38 & ( B != D )
% 0.19/0.38 & ( B != E )
% 0.19/0.38 & ( B != F )
% 0.19/0.38 & ( C != D )
% 0.19/0.38 & ( C != E )
% 0.19/0.38 & ( C != F )
% 0.19/0.38 & ( D != E )
% 0.19/0.38 & ( D != F )
% 0.19/0.38 & ( E != F ) )
% 0.19/0.38 => ? [Xa: $i,Xb: $i,Xc: $i] :
% 0.19/0.38 ( ( Xa != Xb )
% 0.19/0.38 & ( Xa != Xc )
% 0.19/0.38 & ( Xb != Xc )
% 0.19/0.38 & ( ( ( R @ Xa @ Xb )
% 0.19/0.38 & ( R @ Xa @ Xc )
% 0.19/0.38 & ( R @ Xb @ Xc ) )
% 0.19/0.38 | ( ~ ( R @ Xa @ Xb )
% 0.19/0.38 & ~ ( R @ Xa @ Xc )
% 0.19/0.38 & ~ ( R @ Xb @ Xc ) ) ) ) ) ).
% 0.19/0.38
% 0.19/0.38 %------------------------------------------------------------------------------
% 0.19/0.38 ------------------------
% 1.38/1.26 ---- Embedded in THF ---
% 1.38/1.26 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.38/1.26 %%% Generated on Tue Feb 24 12:40:41 EST 2026
% 1.38/1.26 %%% using '$$dhol' embedding, version 1.3.0.
% 1.38/1.26 %%% Logic specification used:
% 1.38/1.26 %%% thf(spec, logic, $$dhol).
% 1.38/1.26
% 1.38/1.26 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.qkrIe4HSkE/DTF2DTF17357.p
% See solution above
% 1.38/1.26 ------------------------
% 1.38/1.27 ---- Cleaned THF ---
% 1.38/1.27 thf(cSIX_THEOREM_pme,conjecture,
% 1.38/1.27 ! [R: $i > $i > $o,A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
% 1.38/1.27 ( ( ! [Xx: $i,Xy: $i] :
% 1.38/1.27 ( ( R @ Xx @ Xy )
% 1.38/1.27 => ( R @ Xy @ Xx ) )
% 1.38/1.27 & ( A != B )
% 1.38/1.27 & ( A != C )
% 1.38/1.27 & ( A != D )
% 1.38/1.27 & ( A != E )
% 1.38/1.27 & ( A != F )
% 1.38/1.27 & ( B != C )
% 1.38/1.27 & ( B != D )
% 1.38/1.27 & ( B != E )
% 1.38/1.27 & ( B != F )
% 1.38/1.27 & ( C != D )
% 1.38/1.27 & ( C != E )
% 1.38/1.27 & ( C != F )
% 1.38/1.27 & ( D != E )
% 1.38/1.27 & ( D != F )
% 1.38/1.27 & ( E != F ) )
% 1.38/1.27 => ? [Xa: $i,Xb: $i,Xc: $i] :
% 1.38/1.27 ( ( Xa != Xb )
% 1.38/1.27 & ( Xa != Xc )
% 1.38/1.27 & ( Xb != Xc )
% 1.38/1.27 & ( ( ( R @ Xa @ Xb )
% 1.38/1.27 & ( R @ Xa @ Xc )
% 1.38/1.27 & ( R @ Xb @ Xc ) )
% 1.38/1.27 | ( ~ ( R @ Xa @ Xb )
% 1.38/1.27 & ~ ( R @ Xa @ Xc )
% 1.38/1.27 & ~ ( R @ Xb @ Xc ) ) ) ) ) ).
% 1.38/1.27 ------------------------
% 1.38/1.29 % (17455)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/183Mi)
% 1.38/1.29 % (17457)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/27Mi)
% 1.38/1.29 % (17458)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/2Mi)
% 1.38/1.29 % (17456)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/4Mi)
% 1.38/1.29 % (17459)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/2Mi)
% 1.38/1.29 % (17460)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/275Mi)
% 1.38/1.29 % (17461)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/18Mi)
% 1.38/1.29 % (17458)Instruction limit reached!
% 1.38/1.29 % (17458)------------------------------
% 1.38/1.29 % (17458)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.38/1.29 % (17458)Termination reason: Unknown
% 1.38/1.29 % (17459)Instruction limit reached!
% 1.38/1.29 % (17459)------------------------------
% 1.38/1.29 % (17459)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.38/1.29 % (17458)Termination phase: Saturation
% 1.38/1.29 % (17459)Termination reason: Unknown
% 1.38/1.29 % (17459)Termination phase: Property scanning
% 1.38/1.29
% 1.38/1.29 % (17459)Memory used [KB]: 1023
% 1.38/1.29 % (17459)Time elapsed: 0.003 s
% 1.38/1.29 % (17459)Instructions burned: 3 (million)
% 1.38/1.29 % (17459)------------------------------
% 1.38/1.29 % (17459)------------------------------
% 1.38/1.29
% 1.38/1.29 % (17458)Memory used [KB]: 5500
% 1.38/1.29 % (17458)Time elapsed: 0.003 s
% 1.38/1.29 % (17458)Instructions burned: 2 (million)
% 1.38/1.29 % (17458)------------------------------
% 1.38/1.29 % (17458)------------------------------
% 1.38/1.29 % (17456)Instruction limit reached!
% 1.38/1.29 % (17456)------------------------------
% 1.38/1.29 % (17456)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.38/1.29 % (17456)Termination reason: Unknown
% 1.38/1.29 % (17456)Termination phase: Saturation
% 1.38/1.29
% 1.38/1.29 % (17456)Memory used [KB]: 5500
% 1.38/1.29 % (17456)Time elapsed: 0.005 s
% 1.38/1.29 % (17456)Instructions burned: 5 (million)
% 1.38/1.29 % (17456)------------------------------
% 1.38/1.29 % (17456)------------------------------
% 1.53/1.30 % (17461)Instruction limit reached!
% 1.53/1.30 % (17461)------------------------------
% 1.53/1.30 % (17461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.30 % (17461)Termination reason: Unknown
% 1.53/1.30 % (17461)Termination phase: Saturation
% 1.53/1.30
% 1.53/1.30 % (17461)Memory used [KB]: 5500
% 1.53/1.30 % (17461)Time elapsed: 0.011 s
% 1.53/1.30 % (17461)Instructions burned: 18 (million)
% 1.53/1.30 % (17461)------------------------------
% 1.53/1.30 % (17461)------------------------------
% 1.53/1.31 % (17457)Instruction limit reached!
% 1.53/1.31 % (17457)------------------------------
% 1.53/1.31 % (17457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.31 % (17457)Termination reason: Unknown
% 1.53/1.31 % (17457)Termination phase: Saturation
% 1.53/1.31
% 1.53/1.31 % (17457)Memory used [KB]: 5628
% 1.53/1.31 % (17457)Time elapsed: 0.016 s
% 1.53/1.31 % (17457)Instructions burned: 28 (million)
% 1.53/1.31 % (17457)------------------------------
% 1.53/1.31 % (17457)------------------------------
% 1.53/1.31 % (17462)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/3Mi)
% 1.53/1.31 % (17463)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/37Mi)
% 1.53/1.31 % (17462)Instruction limit reached!
% 1.53/1.31 % (17462)------------------------------
% 1.53/1.31 % (17462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.31 % (17462)Termination reason: Unknown
% 1.53/1.31 % (17462)Termination phase: Saturation
% 1.53/1.31
% 1.53/1.31 % (17462)Memory used [KB]: 5500
% 1.53/1.31 % (17462)Time elapsed: 0.003 s
% 1.53/1.31 % (17462)Instructions burned: 3 (million)
% 1.53/1.31 % (17462)------------------------------
% 1.53/1.31 % (17462)------------------------------
% 1.53/1.31 % (17464)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/15Mi)
% 1.53/1.32 % (17465)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/3Mi)
% 1.53/1.32 % (17464)Instruction limit reached!
% 1.53/1.32 % (17464)------------------------------
% 1.53/1.32 % (17464)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.32 % (17464)Termination reason: Unknown
% 1.53/1.32 % (17464)Termination phase: Saturation
% 1.53/1.32
% 1.53/1.32 % (17464)Memory used [KB]: 5628
% 1.53/1.32 % (17464)Time elapsed: 0.009 s
% 1.53/1.32 % (17464)Instructions burned: 15 (million)
% 1.53/1.32 % (17464)------------------------------
% 1.53/1.32 % (17464)------------------------------
% 1.53/1.32 % (17465)Instruction limit reached!
% 1.53/1.32 % (17465)------------------------------
% 1.53/1.32 % (17465)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.32 % (17465)Termination reason: Unknown
% 1.53/1.32 % (17465)Termination phase: Saturation
% 1.53/1.32
% 1.53/1.32 % (17465)Memory used [KB]: 5500
% 1.53/1.32 % (17465)Time elapsed: 0.003 s
% 1.53/1.32 % (17465)Instructions burned: 3 (million)
% 1.53/1.32 % (17465)------------------------------
% 1.53/1.32 % (17465)------------------------------
% 1.53/1.32 % (17466)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/1041Mi)
% 1.53/1.32 % (17463)Instruction limit reached!
% 1.53/1.32 % (17463)------------------------------
% 1.53/1.32 % (17463)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.32 % (17463)Termination reason: Unknown
% 1.53/1.32 % (17463)Termination phase: Saturation
% 1.53/1.32
% 1.53/1.32 % (17463)Memory used [KB]: 5628
% 1.53/1.32 % (17463)Time elapsed: 0.018 s
% 1.53/1.33 % (17463)Instructions burned: 37 (million)
% 1.53/1.33 % (17463)------------------------------
% 1.53/1.33 % (17463)------------------------------
% 1.53/1.33 % (17467)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/7Mi)
% 1.53/1.33 % (17467)Instruction limit reached!
% 1.53/1.33 % (17467)------------------------------
% 1.53/1.33 % (17467)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.33 % (17467)Termination reason: Unknown
% 1.53/1.33 % (17467)Termination phase: Saturation
% 1.53/1.33
% 1.53/1.33 % (17467)Memory used [KB]: 1023
% 1.53/1.33 % (17467)Time elapsed: 0.005 s
% 1.53/1.33 % (17467)Instructions burned: 7 (million)
% 1.53/1.33 % (17467)------------------------------
% 1.53/1.33 % (17467)------------------------------
% 1.53/1.33 % (17468)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/16Mi)
% 1.53/1.33 % (17469)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/3Mi)
% 1.53/1.34 % (17469)Instruction limit reached!
% 1.53/1.34 % (17469)------------------------------
% 1.53/1.34 % (17469)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.34 % (17469)Termination reason: Unknown
% 1.53/1.34 % (17469)Termination phase: Saturation
% 1.53/1.34
% 1.53/1.34 % (17469)Memory used [KB]: 5500
% 1.53/1.34 % (17469)Time elapsed: 0.003 s
% 1.53/1.34 % (17469)Instructions burned: 3 (million)
% 1.53/1.34 % (17469)------------------------------
% 1.53/1.34 % (17469)------------------------------
% 1.53/1.34 % (17470)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/3Mi)
% 1.53/1.34 % (17468)Instruction limit reached!
% 1.53/1.34 % (17468)------------------------------
% 1.53/1.34 % (17468)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.34 % (17468)Termination reason: Unknown
% 1.53/1.34 % (17468)Termination phase: Saturation
% 1.53/1.34
% 1.53/1.34 % (17468)Memory used [KB]: 5628
% 1.53/1.34 % (17468)Time elapsed: 0.010 s
% 1.53/1.34 % (17468)Instructions burned: 17 (million)
% 1.53/1.34 % (17468)------------------------------
% 1.53/1.34 % (17468)------------------------------
% 1.53/1.34 % (17470)Instruction limit reached!
% 1.53/1.34 % (17470)------------------------------
% 1.53/1.34 % (17470)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.34 % (17470)Termination reason: Unknown
% 1.53/1.34 % (17470)Termination phase: Saturation
% 1.53/1.34
% 1.53/1.34 % (17470)Memory used [KB]: 1023
% 1.53/1.34 % (17470)Time elapsed: 0.003 s
% 1.53/1.34 % (17470)Instructions burned: 3 (million)
% 1.53/1.34 % (17470)------------------------------
% 1.53/1.34 % (17470)------------------------------
% 1.53/1.35 % (17471)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/7Mi)
% 1.53/1.35 % (17471)Refutation not found, incomplete strategy
% 1.53/1.35 % (17471)------------------------------
% 1.53/1.35 % (17471)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.35 % (17471)Termination reason: Refutation not found, incomplete strategy
% 1.53/1.35
% 1.53/1.35
% 1.53/1.35 % (17471)Memory used [KB]: 5500
% 1.53/1.35 % (17471)Time elapsed: 0.003 s
% 1.53/1.35 % (17471)Instructions burned: 3 (million)
% 1.53/1.35 % (17471)------------------------------
% 1.53/1.35 % (17471)------------------------------
% 1.53/1.35 % (17472)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/3Mi)
% 1.53/1.35 % (17472)Instruction limit reached!
% 1.53/1.35 % (17472)------------------------------
% 1.53/1.35 % (17472)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.35 % (17472)Termination reason: Unknown
% 1.53/1.35 % (17472)Termination phase: Saturation
% 1.53/1.35
% 1.53/1.35 % (17472)Memory used [KB]: 5500
% 1.53/1.35 % (17472)Time elapsed: 0.003 s
% 1.53/1.35 % (17472)Instructions burned: 4 (million)
% 1.53/1.35 % (17472)------------------------------
% 1.53/1.35 % (17472)------------------------------
% 1.53/1.36 % (17473)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/4Mi)
% 1.53/1.36 % (17474)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/18Mi)
% 1.53/1.36 % (17473)Instruction limit reached!
% 1.53/1.36 % (17473)------------------------------
% 1.53/1.36 % (17473)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.36 % (17473)Termination reason: Unknown
% 1.53/1.36 % (17473)Termination phase: Saturation
% 1.53/1.36
% 1.53/1.36 % (17473)Memory used [KB]: 5500
% 1.53/1.36 % (17473)Time elapsed: 0.004 s
% 1.53/1.36 % (17473)Instructions burned: 5 (million)
% 1.53/1.36 % (17473)------------------------------
% 1.53/1.36 % (17473)------------------------------
% 1.53/1.36 % (17475)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/710Mi)
% 1.53/1.37 % (17474)Instruction limit reached!
% 1.53/1.37 % (17474)------------------------------
% 1.53/1.37 % (17474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.37 % (17474)Termination reason: Unknown
% 1.53/1.37 % (17474)Termination phase: Saturation
% 1.53/1.37
% 1.53/1.37 % (17474)Memory used [KB]: 5628
% 1.53/1.37 % (17474)Time elapsed: 0.011 s
% 1.53/1.37 % (17474)Instructions burned: 20 (million)
% 1.53/1.37 % (17474)------------------------------
% 1.53/1.37 % (17474)------------------------------
% 1.53/1.37 % (17476)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/6Mi)
% 1.53/1.37 % (17455)Instruction limit reached!
% 1.53/1.37 % (17455)------------------------------
% 1.53/1.37 % (17455)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.37 % (17455)Termination reason: Unknown
% 1.53/1.37 % (17455)Termination phase: Saturation
% 1.53/1.37
% 1.53/1.37 % (17455)Memory used [KB]: 5628
% 1.53/1.37 % (17455)Time elapsed: 0.081 s
% 1.53/1.37 % (17455)Instructions burned: 185 (million)
% 1.53/1.37 % (17455)------------------------------
% 1.53/1.37 % (17455)------------------------------
% 1.53/1.37 % (17476)Instruction limit reached!
% 1.53/1.37 % (17476)------------------------------
% 1.53/1.37 % (17476)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.37 % (17476)Termination reason: Unknown
% 1.53/1.37 % (17476)Termination phase: Saturation
% 1.53/1.37
% 1.53/1.37 % (17476)Memory used [KB]: 5500
% 1.53/1.37 % (17476)Time elapsed: 0.005 s
% 1.53/1.37 % (17476)Instructions burned: 7 (million)
% 1.53/1.37 % (17476)------------------------------
% 1.53/1.37 % (17476)------------------------------
% 1.53/1.38 % (17477)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/902Mi)
% 1.53/1.38 % (17478)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/21Mi)
% 1.53/1.39 % (17479)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/5Mi)
% 1.53/1.39 % (17480)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_17357 for (2999ds/6Mi)
% 1.53/1.39 % (17479)Instruction limit reached!
% 1.53/1.39 % (17479)------------------------------
% 1.53/1.39 % (17479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.39 % (17479)Termination reason: Unknown
% 1.53/1.39 % (17479)Termination phase: Saturation
% 1.53/1.39
% 1.53/1.39 % (17479)Memory used [KB]: 5500
% 1.53/1.39 % (17479)Time elapsed: 0.004 s
% 1.53/1.39 % (17479)Instructions burned: 6 (million)
% 1.53/1.39 % (17479)------------------------------
% 1.53/1.39 % (17479)------------------------------
% 1.53/1.39 % (17480)Instruction limit reached!
% 1.53/1.39 % (17480)------------------------------
% 1.53/1.39 % (17480)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.39 % (17480)Termination reason: Unknown
% 1.53/1.39 % (17480)Termination phase: Saturation
% 1.53/1.39
% 1.53/1.39 % (17480)Memory used [KB]: 5500
% 1.53/1.39 % (17480)Time elapsed: 0.004 s
% 1.53/1.39 % (17480)Instructions burned: 6 (million)
% 1.53/1.39 % (17480)------------------------------
% 1.53/1.39 % (17480)------------------------------
% 1.53/1.40 % (17478)Instruction limit reached!
% 1.53/1.40 % (17478)------------------------------
% 1.53/1.40 % (17478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.40 % (17478)Termination reason: Unknown
% 1.53/1.40 % (17478)Termination phase: Saturation
% 1.53/1.40
% 1.53/1.40 % (17478)Memory used [KB]: 5628
% 1.53/1.40 % (17478)Time elapsed: 0.013 s
% 1.53/1.40 % (17478)Instructions burned: 22 (million)
% 1.53/1.40 % (17478)------------------------------
% 1.53/1.40 % (17478)------------------------------
% 1.53/1.40 % (17481)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_17357 for (2998ds/377Mi)
% 1.53/1.41 % (17482)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_17357 for (2998ds/779Mi)
% 1.53/1.41 % (17460)Instruction limit reached!
% 1.53/1.41 % (17460)------------------------------
% 1.53/1.41 % (17460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.41 % (17460)Termination reason: Unknown
% 1.53/1.41 % (17460)Termination phase: Saturation
% 1.53/1.41
% 1.53/1.41 % (17460)Memory used [KB]: 5628
% 1.53/1.41 % (17460)Time elapsed: 0.118 s
% 1.53/1.41 % (17460)Instructions burned: 277 (million)
% 1.53/1.41 % (17460)------------------------------
% 1.53/1.41 % (17460)------------------------------
% 1.53/1.41 % (17483)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_17357 for (2998ds/19Mi)
% 1.53/1.42 % (17483)Instruction limit reached!
% 1.53/1.42 % (17483)------------------------------
% 1.53/1.42 % (17483)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.42 % (17483)Termination reason: Unknown
% 1.53/1.42 % (17483)Termination phase: Saturation
% 1.53/1.42
% 1.53/1.42 % (17483)Memory used [KB]: 5500
% 1.53/1.42 % (17483)Time elapsed: 0.010 s
% 1.53/1.42 % (17483)Instructions burned: 20 (million)
% 1.53/1.42 % (17483)------------------------------
% 1.53/1.42 % (17483)------------------------------
% 1.53/1.42 % (17484)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_17357 for (2998ds/879Mi)
% 1.53/1.44 % (17485)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_17357 for (2998ds/17Mi)
% 1.53/1.44 % (17485)Instruction limit reached!
% 1.53/1.44 % (17485)------------------------------
% 1.53/1.44 % (17485)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.44 % (17485)Termination reason: Unknown
% 1.53/1.44 % (17485)Termination phase: Saturation
% 1.53/1.44
% 1.53/1.44 % (17485)Memory used [KB]: 5628
% 1.53/1.44 % (17485)Time elapsed: 0.032 s
% 1.53/1.44 % (17485)Instructions burned: 17 (million)
% 1.53/1.44 % (17485)------------------------------
% 1.53/1.44 % (17485)------------------------------
% 1.53/1.46 % (17486)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_17357 for (2998ds/3Mi)
% 1.53/1.46 % (17486)Instruction limit reached!
% 1.53/1.46 % (17486)------------------------------
% 1.53/1.46 % (17486)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.46 % (17486)Termination reason: Unknown
% 1.53/1.46 % (17486)Termination phase: Saturation
% 1.53/1.46
% 1.53/1.46 % (17486)Memory used [KB]: 1023
% 1.53/1.46 % (17486)Time elapsed: 0.003 s
% 1.53/1.46 % (17486)Instructions burned: 3 (million)
% 1.53/1.46 % (17486)------------------------------
% 1.53/1.46 % (17486)------------------------------
% 1.53/1.48 % (17487)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_17357 for (2998ds/30Mi)
% 1.53/1.49 % (17487)Instruction limit reached!
% 1.53/1.49 % (17487)------------------------------
% 1.53/1.49 % (17487)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.49 % (17487)Termination reason: Unknown
% 1.53/1.49 % (17487)Termination phase: Saturation
% 1.53/1.49
% 1.53/1.49 % (17487)Memory used [KB]: 5628
% 1.53/1.49 % (17487)Time elapsed: 0.015 s
% 1.53/1.49 % (17487)Instructions burned: 30 (million)
% 1.53/1.49 % (17487)------------------------------
% 1.53/1.49 % (17487)------------------------------
% 1.53/1.51 % (17488)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_17357 for (2997ds/127Mi)
% 1.53/1.57 % (17488)Instruction limit reached!
% 1.53/1.57 % (17488)------------------------------
% 1.53/1.57 % (17488)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.57 % (17488)Termination reason: Unknown
% 1.53/1.57 % (17488)Termination phase: Saturation
% 1.53/1.57
% 1.53/1.57 % (17488)Memory used [KB]: 5628
% 1.53/1.57 % (17488)Time elapsed: 0.082 s
% 1.53/1.57 % (17488)Instructions burned: 129 (million)
% 1.53/1.57 % (17488)------------------------------
% 1.53/1.57 % (17488)------------------------------
% 1.53/1.57 % (17481)Instruction limit reached!
% 1.53/1.57 % (17481)------------------------------
% 1.53/1.57 % (17481)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.57 % (17481)Termination reason: Unknown
% 1.53/1.57 % (17481)Termination phase: Saturation
% 1.53/1.57
% 1.53/1.57 % (17481)Memory used [KB]: 5756
% 1.53/1.57 % (17481)Time elapsed: 0.184 s
% 1.53/1.57 % (17481)Instructions burned: 379 (million)
% 1.53/1.57 % (17481)------------------------------
% 1.53/1.57 % (17481)------------------------------
% 1.53/1.58 % (17489)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_17357 for (2997ds/100Mi)
% 1.53/1.58 % (17490)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_17357 for (2997ds/3Mi)
% 1.53/1.58 % (17490)Instruction limit reached!
% 1.53/1.58 % (17490)------------------------------
% 1.53/1.58 % (17490)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.58 % (17490)Termination reason: Unknown
% 1.53/1.58 % (17490)Termination phase: Saturation
% 1.53/1.58
% 1.53/1.58 % (17490)Memory used [KB]: 1023
% 1.53/1.58 % (17490)Time elapsed: 0.003 s
% 1.53/1.58 % (17490)Instructions burned: 4 (million)
% 1.53/1.58 % (17490)------------------------------
% 1.53/1.58 % (17490)------------------------------
% 1.53/1.60 % (17491)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_17357 for (2996ds/20Mi)
% 1.53/1.61 % (17491)Instruction limit reached!
% 1.53/1.61 % (17491)------------------------------
% 1.53/1.61 % (17491)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.61 % (17491)Termination reason: Unknown
% 1.53/1.61 % (17491)Termination phase: Saturation
% 1.53/1.61
% 1.53/1.61 % (17491)Memory used [KB]: 5500
% 1.53/1.61 % (17491)Time elapsed: 0.012 s
% 1.53/1.61 % (17491)Instructions burned: 22 (million)
% 1.53/1.61 % (17491)------------------------------
% 1.53/1.61 % (17491)------------------------------
% 1.53/1.63 % (17492)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_17357 for (2996ds/86Mi)
% 1.53/1.63 % (17489)Instruction limit reached!
% 1.53/1.63 % (17489)------------------------------
% 1.53/1.63 % (17489)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.63 % (17489)Termination reason: Unknown
% 1.53/1.63 % (17489)Termination phase: Saturation
% 1.53/1.63
% 1.53/1.63 % (17489)Memory used [KB]: 5628
% 1.53/1.63 % (17489)Time elapsed: 0.048 s
% 1.53/1.63 % (17489)Instructions burned: 101 (million)
% 1.53/1.63 % (17489)------------------------------
% 1.53/1.63 % (17489)------------------------------
% 1.53/1.64 % (17493)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_17357 for (2996ds/107Mi)
% 1.53/1.67 % (17492)Instruction limit reached!
% 1.53/1.67 % (17492)------------------------------
% 1.53/1.67 % (17492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.67 % (17492)Termination reason: Unknown
% 1.53/1.67 % (17492)Termination phase: Saturation
% 1.53/1.67
% 1.53/1.67 % (17492)Memory used [KB]: 5628
% 1.53/1.67 % (17492)Time elapsed: 0.042 s
% 1.53/1.67 % (17492)Instructions burned: 87 (million)
% 1.53/1.67 % (17492)------------------------------
% 1.53/1.67 % (17492)------------------------------
% 1.53/1.67 % (17475)Instruction limit reached!
% 1.53/1.67 % (17475)------------------------------
% 1.53/1.67 % (17475)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.67 % (17475)Termination reason: Unknown
% 1.53/1.67 % (17475)Termination phase: Saturation
% 1.53/1.67
% 1.53/1.67 % (17475)Memory used [KB]: 5884
% 1.53/1.67 % (17475)Time elapsed: 0.307 s
% 1.53/1.67 % (17475)Instructions burned: 710 (million)
% 1.53/1.67 % (17475)------------------------------
% 1.53/1.67 % (17475)------------------------------
% 1.53/1.68 % (17494)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_17357 for (2996ds/39Mi)
% 1.53/1.69 % (17495)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_17357 for (2995ds/448Mi)
% 1.53/1.69 % (17493)Instruction limit reached!
% 1.53/1.69 % (17493)------------------------------
% 1.53/1.69 % (17493)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.69 % (17493)Termination reason: Unknown
% 1.53/1.69 % (17493)Termination phase: Saturation
% 1.53/1.69
% 1.53/1.69 % (17493)Memory used [KB]: 5628
% 1.53/1.69 % (17493)Time elapsed: 0.049 s
% 1.53/1.69 % (17493)Instructions burned: 107 (million)
% 1.53/1.69 % (17493)------------------------------
% 1.53/1.69 % (17493)------------------------------
% 1.53/1.70 % (17494)Instruction limit reached!
% 1.53/1.70 % (17494)------------------------------
% 1.53/1.70 % (17494)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.70 % (17494)Termination reason: Unknown
% 1.53/1.70 % (17494)Termination phase: Saturation
% 1.53/1.70
% 1.53/1.70 % (17494)Memory used [KB]: 5756
% 1.53/1.70 % (17494)Time elapsed: 0.019 s
% 1.53/1.70 % (17494)Instructions burned: 39 (million)
% 1.53/1.70 % (17494)------------------------------
% 1.53/1.70 % (17494)------------------------------
% 1.53/1.71 % (17496)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_17357 for (2995ds/46Mi)
% 1.53/1.72 % (17497)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_17357 for (2995ds/98Mi)
% 1.53/1.73 % (17496)Instruction limit reached!
% 1.53/1.73 % (17496)------------------------------
% 1.53/1.73 % (17496)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.73 % (17496)Termination reason: Unknown
% 1.53/1.73 % (17496)Termination phase: Saturation
% 1.53/1.73
% 1.53/1.73 % (17496)Memory used [KB]: 5628
% 1.53/1.73 % (17496)Time elapsed: 0.024 s
% 1.53/1.73 % (17496)Instructions burned: 46 (million)
% 1.53/1.73 % (17496)------------------------------
% 1.53/1.73 % (17496)------------------------------
% 1.53/1.75 % (17498)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_17357 for (2995ds/507Mi)
% 1.53/1.75 % (17482)Instruction limit reached!
% 1.53/1.75 % (17482)------------------------------
% 1.53/1.75 % (17482)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.75 % (17482)Termination reason: Unknown
% 1.53/1.75 % (17482)Termination phase: Saturation
% 1.53/1.75
% 1.53/1.75 % (17482)Memory used [KB]: 6012
% 1.53/1.75 % (17482)Time elapsed: 0.369 s
% 1.53/1.75 % (17482)Instructions burned: 780 (million)
% 1.53/1.75 % (17482)------------------------------
% 1.53/1.75 % (17482)------------------------------
% 1.53/1.76 % (17497)Instruction limit reached!
% 1.53/1.76 % (17497)------------------------------
% 1.53/1.76 % (17497)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.76 % (17497)Termination reason: Unknown
% 1.53/1.76 % (17497)Termination phase: Saturation
% 1.53/1.76
% 1.53/1.76 % (17497)Memory used [KB]: 1279
% 1.53/1.76 % (17497)Time elapsed: 0.047 s
% 1.53/1.76 % (17497)Instructions burned: 98 (million)
% 1.53/1.76 % (17497)------------------------------
% 1.53/1.76 % (17497)------------------------------
% 1.53/1.77 % (17499)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_17357 for (2995ds/149Mi)
% 1.53/1.78 % (17500)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_17357 for (2995ds/39Mi)
% 1.53/1.78 % (17484)Instruction limit reached!
% 1.53/1.78 % (17484)------------------------------
% 1.53/1.78 % (17484)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.78 % (17484)Termination reason: Unknown
% 1.53/1.78 % (17484)Termination phase: Saturation
% 1.53/1.78
% 1.53/1.78 % (17484)Memory used [KB]: 5884
% 1.53/1.78 % (17484)Time elapsed: 0.381 s
% 1.53/1.78 % (17484)Instructions burned: 880 (million)
% 1.53/1.78 % (17484)------------------------------
% 1.53/1.78 % (17484)------------------------------
% 1.53/1.78 % (17477)Instruction limit reached!
% 1.53/1.78 % (17477)------------------------------
% 1.53/1.78 % (17477)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.78 % (17477)Termination reason: Unknown
% 1.53/1.78 % (17477)Termination phase: Saturation
% 1.53/1.78
% 1.53/1.78 % (17477)Memory used [KB]: 8443
% 1.53/1.78 % (17477)Time elapsed: 0.407 s
% 1.53/1.78 % (17477)Instructions burned: 903 (million)
% 1.53/1.78 % (17477)------------------------------
% 1.53/1.78 % (17477)------------------------------
% 1.53/1.80 % (17500)Instruction limit reached!
% 1.53/1.80 % (17500)------------------------------
% 1.53/1.80 % (17500)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.80 % (17500)Termination reason: Unknown
% 1.53/1.80 % (17500)Termination phase: Saturation
% 1.53/1.80
% 1.53/1.80 % (17500)Memory used [KB]: 5500
% 1.53/1.80 % (17500)Time elapsed: 0.020 s
% 1.53/1.80 % (17500)Instructions burned: 40 (million)
% 1.53/1.80 % (17500)------------------------------
% 1.53/1.80 % (17500)------------------------------
% 1.53/1.80 % (17501)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_17357 for (2994ds/6Mi)
% 1.53/1.80 % (17502)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_17357 for (2994ds/1087Mi)
% 1.53/1.80 % (17501)Instruction limit reached!
% 1.53/1.80 % (17501)------------------------------
% 1.53/1.80 % (17501)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.80 % (17501)Termination reason: Unknown
% 1.53/1.80 % (17501)Termination phase: Saturation
% 1.53/1.80
% 1.53/1.80 % (17501)Memory used [KB]: 9978
% 1.53/1.80 % (17501)Time elapsed: 0.005 s
% 1.53/1.80 % (17501)Instructions burned: 7 (million)
% 1.53/1.80 % (17501)------------------------------
% 1.53/1.80 % (17501)------------------------------
% 1.53/1.81 % (17503)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_17357 for (2994ds/47Mi)
% 1.53/1.81 % (17466)Instruction limit reached!
% 1.53/1.81 % (17466)------------------------------
% 1.53/1.81 % (17466)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.81 % (17466)Termination reason: Unknown
% 1.53/1.81 % (17466)Termination phase: Saturation
% 1.53/1.81
% 1.53/1.81 % (17466)Memory used [KB]: 7931
% 1.53/1.81 % (17466)Time elapsed: 0.493 s
% 1.53/1.81 % (17466)Instructions burned: 1041 (million)
% 1.53/1.81 % (17466)------------------------------
% 1.53/1.81 % (17466)------------------------------
% 1.53/1.82 % (17504)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_17357 for (2994ds/44Mi)
% 1.53/1.83 % (17505)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_17357 for (2994ds/432Mi)
% 1.53/1.83 % (17503)Instruction limit reached!
% 1.53/1.83 % (17503)------------------------------
% 1.53/1.83 % (17503)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.83 % (17503)Termination reason: Unknown
% 1.53/1.83 % (17503)Termination phase: Saturation
% 1.53/1.83
% 1.53/1.83 % (17503)Memory used [KB]: 5628
% 1.53/1.83 % (17503)Time elapsed: 0.024 s
% 1.53/1.83 % (17503)Instructions burned: 48 (million)
% 1.53/1.83 % (17503)------------------------------
% 1.53/1.83 % (17503)------------------------------
% 1.53/1.84 % (17499)Instruction limit reached!
% 1.53/1.84 % (17499)------------------------------
% 1.53/1.84 % (17499)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.84 % (17499)Termination reason: Unknown
% 1.53/1.84 % (17499)Termination phase: Saturation
% 1.53/1.84
% 1.53/1.84 % (17499)Memory used [KB]: 5628
% 1.53/1.84 % (17499)Time elapsed: 0.068 s
% 1.53/1.84 % (17499)Instructions burned: 149 (million)
% 1.53/1.84 % (17499)------------------------------
% 1.53/1.84 % (17499)------------------------------
% 1.53/1.84 % (17504)Instruction limit reached!
% 1.53/1.84 % (17504)------------------------------
% 1.53/1.84 % (17504)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.84 % (17504)Termination reason: Unknown
% 1.53/1.84 % (17504)Termination phase: Saturation
% 1.53/1.84
% 1.53/1.84 % (17504)Memory used [KB]: 1151
% 1.53/1.84 % (17504)Time elapsed: 0.022 s
% 1.53/1.84 % (17504)Instructions burned: 45 (million)
% 1.53/1.84 % (17504)------------------------------
% 1.53/1.84 % (17504)------------------------------
% 1.53/1.85 % (17506)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_17357 for (2994ds/62Mi)
% 1.53/1.85 % (17507)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_17357 for (2994ds/31Mi)
% 1.53/1.85 % (17508)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_17357 for (2994ds/96Mi)
% 1.53/1.87 % (17507)Instruction limit reached!
% 1.53/1.87 % (17507)------------------------------
% 1.53/1.87 % (17507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.87 % (17507)Termination reason: Unknown
% 1.53/1.87 % (17507)Termination phase: Saturation
% 1.53/1.87
% 1.53/1.87 % (17507)Memory used [KB]: 5628
% 1.53/1.87 % (17507)Time elapsed: 0.016 s
% 1.53/1.87 % (17507)Instructions burned: 31 (million)
% 1.53/1.87 % (17507)------------------------------
% 1.53/1.87 % (17507)------------------------------
% 1.53/1.88 % (17506)Instruction limit reached!
% 1.53/1.88 % (17506)------------------------------
% 1.53/1.88 % (17506)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.88 % (17506)Termination reason: Unknown
% 1.53/1.88 % (17506)Termination phase: Saturation
% 1.53/1.88
% 1.53/1.88 % (17506)Memory used [KB]: 5884
% 1.53/1.88 % (17506)Time elapsed: 0.030 s
% 1.53/1.88 % (17506)Instructions burned: 63 (million)
% 1.53/1.88 % (17506)------------------------------
% 1.53/1.88 % (17506)------------------------------
% 1.53/1.88 % (17509)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_17357 for (2994ds/453Mi)
% 1.53/1.89 % (17495)Instruction limit reached!
% 1.53/1.89 % (17495)------------------------------
% 1.53/1.89 % (17495)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.89 % (17495)Termination reason: Unknown
% 1.53/1.89 % (17495)Termination phase: Saturation
% 1.53/1.89
% 1.53/1.89 % (17495)Memory used [KB]: 6268
% 1.53/1.89 % (17495)Time elapsed: 0.203 s
% 1.53/1.89 % (17495)Instructions burned: 448 (million)
% 1.53/1.89 % (17495)------------------------------
% 1.53/1.89 % (17495)------------------------------
% 1.53/1.90 % (17510)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_17357 for (2993ds/71Mi)
% 1.53/1.90 % (17508)Instruction limit reached!
% 1.53/1.90 % (17508)------------------------------
% 1.53/1.90 % (17508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.90 % (17508)Termination reason: Unknown
% 1.53/1.90 % (17508)Termination phase: Saturation
% 1.53/1.90
% 1.53/1.90 % (17508)Memory used [KB]: 5628
% 1.53/1.90 % (17508)Time elapsed: 0.046 s
% 1.53/1.90 % (17508)Instructions burned: 96 (million)
% 1.53/1.90 % (17508)------------------------------
% 1.53/1.90 % (17508)------------------------------
% 1.53/1.90 % (17511)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_17357 for (2993ds/83Mi)
% 1.53/1.91 % (17512)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_17357 for (2993ds/11Mi)
% 1.53/1.92 % (17512)Instruction limit reached!
% 1.53/1.92 % (17512)------------------------------
% 1.53/1.92 % (17512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.92 % (17512)Termination reason: Unknown
% 1.53/1.92 % (17512)Termination phase: Saturation
% 1.53/1.92
% 1.53/1.92 % (17512)Memory used [KB]: 5500
% 1.53/1.92 % (17512)Time elapsed: 0.006 s
% 1.53/1.92 % (17512)Instructions burned: 11 (million)
% 1.53/1.92 % (17512)------------------------------
% 1.53/1.92 % (17512)------------------------------
% 1.53/1.93 % (17510)Instruction limit reached!
% 1.53/1.93 % (17510)------------------------------
% 1.53/1.93 % (17510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.93 % (17510)Termination reason: Unknown
% 1.53/1.93 % (17510)Termination phase: Saturation
% 1.53/1.93
% 1.53/1.93 % (17510)Memory used [KB]: 5756
% 1.53/1.93 % (17510)Time elapsed: 0.037 s
% 1.53/1.93 % (17510)Instructions burned: 72 (million)
% 1.53/1.93 % (17510)------------------------------
% 1.53/1.93 % (17510)------------------------------
% 1.53/1.93 % (17513)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_17357 for (2993ds/41Mi)
% 1.53/1.94 % (17511)Instruction limit reached!
% 1.53/1.94 % (17511)------------------------------
% 1.53/1.94 % (17511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.94 % (17511)Termination reason: Unknown
% 1.53/1.94 % (17511)Termination phase: Saturation
% 1.53/1.94
% 1.53/1.94 % (17511)Memory used [KB]: 5628
% 1.53/1.94 % (17511)Time elapsed: 0.040 s
% 1.53/1.94 % (17511)Instructions burned: 84 (million)
% 1.53/1.94 % (17511)------------------------------
% 1.53/1.94 % (17511)------------------------------
% 1.53/1.95 % (17514)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_17357 for (2993ds/6Mi)
% 1.53/1.95 % (17514)Instruction limit reached!
% 1.53/1.95 % (17514)------------------------------
% 1.53/1.95 % (17514)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.95 % (17514)Termination reason: Unknown
% 1.53/1.95 % (17514)Termination phase: Saturation
% 1.53/1.95
% 1.53/1.95 % (17514)Memory used [KB]: 5500
% 1.53/1.95 % (17514)Time elapsed: 0.005 s
% 1.53/1.95 % (17514)Instructions burned: 7 (million)
% 1.53/1.95 % (17514)------------------------------
% 1.53/1.95 % (17514)------------------------------
% 1.53/1.95 % (17513)Instruction limit reached!
% 1.53/1.95 % (17513)------------------------------
% 1.53/1.95 % (17513)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.95 % (17513)Termination reason: Unknown
% 1.53/1.95 % (17513)Termination phase: Saturation
% 1.53/1.95
% 1.53/1.95 % (17513)Memory used [KB]: 5628
% 1.53/1.95 % (17513)Time elapsed: 0.021 s
% 1.53/1.95 % (17513)Instructions burned: 41 (million)
% 1.53/1.95 % (17513)------------------------------
% 1.53/1.95 % (17513)------------------------------
% 1.53/1.96 % (17515)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_17357 for (2993ds/150Mi)
% 1.53/1.97 % (17516)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_17357 for (2993ds/343Mi)
% 1.53/1.97 % (17517)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_17357 for (2993ds/109Mi)
% 1.53/1.97 % (17498)Instruction limit reached!
% 1.53/1.97 % (17498)------------------------------
% 1.53/1.97 % (17498)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.97 % (17498)Termination reason: Unknown
% 1.53/1.97 % (17498)Termination phase: Saturation
% 1.53/1.97
% 1.53/1.97 % (17498)Memory used [KB]: 5884
% 1.53/1.97 % (17498)Time elapsed: 0.226 s
% 1.53/1.97 % (17498)Instructions burned: 508 (million)
% 1.53/1.97 % (17498)------------------------------
% 1.53/1.97 % (17498)------------------------------
% 1.53/1.99 % (17518)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_17357 for (2993ds/253Mi)
% 1.53/2.02 % (17517)Instruction limit reached!
% 1.53/2.02 % (17517)------------------------------
% 1.53/2.02 % (17517)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/2.02 % (17517)Termination reason: Unknown
% 1.53/2.02 % (17517)Termination phase: Saturation
% 1.53/2.02
% 1.53/2.02 % (17517)Memory used [KB]: 5628
% 1.53/2.02 % (17517)Time elapsed: 0.050 s
% 1.53/2.02 % (17517)Instructions burned: 111 (million)
% 1.53/2.02 % (17517)------------------------------
% 1.53/2.02 % (17517)------------------------------
% 1.53/2.03 % (17515)Instruction limit reached!
% 1.53/2.03 % (17515)------------------------------
% 1.53/2.03 % (17515)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/2.03 % (17515)Termination reason: Unknown
% 1.53/2.03 % (17515)Termination phase: Saturation
% 1.53/2.03
% 1.53/2.03 % (17515)Memory used [KB]: 5628
% 1.53/2.03 % (17515)Time elapsed: 0.070 s
% 1.53/2.03 % (17515)Instructions burned: 152 (million)
% 1.53/2.03 % (17515)------------------------------
% 1.53/2.03 % (17515)------------------------------
% 6.71/2.03 % (17505)Instruction limit reached!
% 6.71/2.03 % (17505)------------------------------
% 6.71/2.03 % (17505)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.71/2.03 % (17505)Termination reason: Unknown
% 6.71/2.03 % (17505)Termination phase: Saturation
% 6.71/2.03
% 6.71/2.03 % (17505)Memory used [KB]: 2302
% 6.71/2.03 % (17505)Time elapsed: 0.199 s
% 6.71/2.03 % (17505)Instructions burned: 432 (million)
% 6.71/2.03 % (17505)------------------------------
% 6.71/2.03 % (17505)------------------------------
% 6.71/2.03 % (17519)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_17357 for (2992ds/140Mi)
% 6.71/2.04 % (17520)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_17357 for (2992ds/614Mi)
% 6.71/2.04 % (17521)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_17357 for (2992ds/202Mi)
% 6.71/2.08 % (17509)Instruction limit reached!
% 6.71/2.08 % (17509)------------------------------
% 6.71/2.08 % (17509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.71/2.08 % (17509)Termination reason: Unknown
% 6.71/2.08 % (17509)Termination phase: Saturation
% 6.71/2.08
% 6.71/2.08 % (17509)Memory used [KB]: 6012
% 6.71/2.08 % (17509)Time elapsed: 0.199 s
% 6.71/2.08 % (17509)Instructions burned: 454 (million)
% 6.71/2.08 % (17509)------------------------------
% 6.71/2.08 % (17509)------------------------------
% 6.71/2.10 % (17522)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_17357 for (2991ds/339Mi)
% 6.71/2.10 % (17519)Instruction limit reached!
% 6.71/2.10 % (17519)------------------------------
% 6.71/2.10 % (17519)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.71/2.10 % (17519)Termination reason: Unknown
% 6.71/2.10 % (17519)Termination phase: Saturation
% 6.71/2.10
% 6.71/2.10 % (17519)Memory used [KB]: 5628
% 6.71/2.10 % (17519)Time elapsed: 0.065 s
% 6.71/2.10 % (17519)Instructions burned: 141 (million)
% 6.71/2.10 % (17519)------------------------------
% 6.71/2.10 % (17519)------------------------------
% 6.71/2.10 % (17518)Instruction limit reached!
% 6.71/2.10 % (17518)------------------------------
% 6.71/2.10 % (17518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.71/2.10 % (17518)Termination reason: Unknown
% 6.71/2.10 % (17518)Termination phase: Saturation
% 6.71/2.10
% 6.71/2.10 % (17518)Memory used [KB]: 6012
% 6.71/2.10 % (17518)Time elapsed: 0.118 s
% 6.71/2.10 % (17518)Instructions burned: 253 (million)
% 6.71/2.10 % (17518)------------------------------
% 6.71/2.10 % (17518)------------------------------
% 6.71/2.11 % (17516)Instruction limit reached!
% 6.71/2.11 % (17516)------------------------------
% 6.71/2.11 % (17516)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.71/2.11 % (17516)Termination reason: Unknown
% 6.71/2.11 % (17516)Termination phase: Saturation
% 6.71/2.11
% 6.71/2.11 % (17516)Memory used [KB]: 5756
% 6.71/2.11 % (17516)Time elapsed: 0.141 s
% 6.71/2.11 % (17516)Instructions burned: 343 (million)
% 6.71/2.11 % (17516)------------------------------
% 6.71/2.11 % (17516)------------------------------
% 6.71/2.11 % (17523)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_17357 for (2991ds/283Mi)
% 6.71/2.12 % (17524)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_17357 for (2991ds/134Mi)
% 6.71/2.12 % (17525)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_17357 for (2991ds/298Mi)
% 7.16/2.13 % (17521)Instruction limit reached!
% 7.16/2.13 % (17521)------------------------------
% 7.16/2.13 % (17521)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.16/2.13 % (17521)Termination reason: Unknown
% 7.16/2.13 % (17521)Termination phase: Saturation
% 7.16/2.13
% 7.16/2.13 % (17521)Memory used [KB]: 5756
% 7.16/2.13 % (17521)Time elapsed: 0.088 s
% 7.16/2.13 % (17521)Instructions burned: 203 (million)
% 7.16/2.13 % (17521)------------------------------
% 7.16/2.13 % (17521)------------------------------
% 7.16/2.15 % (17526)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_17357 for (2991ds/192Mi)
% 7.16/2.18 % (17524)Instruction limit reached!
% 7.16/2.18 % (17524)------------------------------
% 7.16/2.18 % (17524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.16/2.18 % (17524)Termination reason: Unknown
% 7.16/2.18 % (17524)Termination phase: Saturation
% 7.16/2.18
% 7.16/2.18 % (17524)Memory used [KB]: 5756
% 7.16/2.18 % (17524)Time elapsed: 0.066 s
% 7.16/2.18 % (17524)Instructions burned: 135 (million)
% 7.16/2.18 % (17524)------------------------------
% 7.16/2.18 % (17524)------------------------------
% 7.41/2.20 % (17527)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_17357 for (2990ds/258Mi)
% 7.41/2.23 % (17526)Instruction limit reached!
% 7.41/2.23 % (17526)------------------------------
% 7.41/2.23 % (17526)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.41/2.23 % (17526)Termination reason: Unknown
% 7.41/2.23 % (17526)Termination phase: Saturation
% 7.41/2.23
% 7.41/2.23 % (17526)Memory used [KB]: 5628
% 7.41/2.23 % (17526)Time elapsed: 0.082 s
% 7.41/2.23 % (17526)Instructions burned: 193 (million)
% 7.41/2.23 % (17526)------------------------------
% 7.41/2.23 % (17526)------------------------------
% 7.41/2.24 % (17528)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_17357 for (2990ds/90Mi)
% 7.41/2.25 % (17523)Instruction limit reached!
% 7.41/2.25 % (17523)------------------------------
% 7.41/2.25 % (17523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.41/2.25 % (17523)Termination reason: Unknown
% 7.41/2.25 % (17523)Termination phase: Saturation
% 7.41/2.25
% 7.41/2.25 % (17523)Memory used [KB]: 6396
% 7.41/2.25 % (17523)Time elapsed: 0.133 s
% 7.41/2.25 % (17523)Instructions burned: 283 (million)
% 7.41/2.25 % (17523)------------------------------
% 7.41/2.25 % (17523)------------------------------
% 7.41/2.25 % (17522)Instruction limit reached!
% 7.41/2.25 % (17522)------------------------------
% 7.41/2.25 % (17522)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.41/2.25 % (17522)Termination reason: Unknown
% 7.41/2.25 % (17522)Termination phase: Saturation
% 7.41/2.25
% 7.41/2.25 % (17522)Memory used [KB]: 5628
% 7.41/2.25 % (17522)Time elapsed: 0.153 s
% 7.41/2.25 % (17522)Instructions burned: 341 (million)
% 7.41/2.25 % (17522)------------------------------
% 7.41/2.25 % (17522)------------------------------
% 7.41/2.25 % (17502)Instruction limit reached!
% 7.41/2.25 % (17502)------------------------------
% 7.41/2.25 % (17502)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.41/2.25 % (17502)Termination reason: Unknown
% 7.41/2.25 % (17502)Termination phase: Saturation
% 7.41/2.25
% 7.41/2.25 % (17502)Memory used [KB]: 5884
% 7.41/2.25 % (17502)Time elapsed: 0.450 s
% 7.41/2.25 % (17502)Instructions burned: 1087 (million)
% 7.41/2.25 % (17502)------------------------------
% 7.41/2.25 % (17502)------------------------------
% 7.41/2.26 % (17525)Instruction limit reached!
% 7.41/2.26 % (17525)------------------------------
% 7.41/2.26 % (17525)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.41/2.26 % (17525)Termination reason: Unknown
% 7.41/2.26 % (17525)Termination phase: Saturation
% 7.41/2.26
% 7.41/2.26 % (17525)Memory used [KB]: 5756
% 7.41/2.26 % (17525)Time elapsed: 0.137 s
% 7.41/2.26 % (17525)Instructions burned: 299 (million)
% 7.41/2.26 % (17525)------------------------------
% 7.41/2.26 % (17525)------------------------------
% 7.41/2.26 % (17529)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_17357 for (2990ds/231Mi)
% 7.41/2.26 % (17530)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_17357 for (2990ds/458Mi)
% 7.41/2.26 % (17531)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_17357 for (2990ds/31Mi)
% 7.41/2.27 % (17532)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_17357 for (2990ds/297Mi)
% 7.41/2.28 % (17531)Instruction limit reached!
% 7.41/2.28 % (17531)------------------------------
% 7.41/2.28 % (17531)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.41/2.28 % (17531)Termination reason: Unknown
% 7.41/2.28 % (17531)Termination phase: Saturation
% 7.41/2.28
% 7.41/2.28 % (17531)Memory used [KB]: 5628
% 7.41/2.28 % (17531)Time elapsed: 0.016 s
% 7.41/2.28 % (17531)Instructions burned: 33 (million)
% 7.41/2.28 % (17531)------------------------------
% 7.41/2.28 % (17531)------------------------------
% 7.41/2.28 % (17528)Instruction limit reached!
% 7.41/2.28 % (17528)------------------------------
% 7.41/2.28 % (17528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.41/2.28 % (17528)Termination reason: Unknown
% 7.41/2.28 % (17528)Termination phase: Saturation
% 7.41/2.28
% 7.41/2.28 % (17528)Memory used [KB]: 5756
% 7.41/2.28 % (17528)Time elapsed: 0.040 s
% 7.41/2.28 % (17528)Instructions burned: 90 (million)
% 7.41/2.28 % (17528)------------------------------
% 7.41/2.28 % (17528)------------------------------
% 7.41/2.29 % (17533)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_17357 for (2989ds/987Mi)
% 8.11/2.30 % (17534)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_17357 for (2989ds/182Mi)
% 8.11/2.31 % (17520)Instruction limit reached!
% 8.11/2.31 % (17520)------------------------------
% 8.11/2.31 % (17520)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.11/2.31 % (17520)Termination reason: Unknown
% 8.11/2.31 % (17520)Termination phase: Saturation
% 8.11/2.31
% 8.11/2.31 % (17520)Memory used [KB]: 5884
% 8.11/2.31 % (17520)Time elapsed: 0.265 s
% 8.11/2.31 % (17520)Instructions burned: 614 (million)
% 8.11/2.31 % (17520)------------------------------
% 8.11/2.31 % (17520)------------------------------
% 8.11/2.31 % (17527)Instruction limit reached!
% 8.11/2.31 % (17527)------------------------------
% 8.11/2.31 % (17527)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.11/2.31 % (17527)Termination reason: Unknown
% 8.11/2.31 % (17527)Termination phase: Saturation
% 8.11/2.31
% 8.11/2.31 % (17527)Memory used [KB]: 5628
% 8.11/2.31 % (17527)Time elapsed: 0.115 s
% 8.11/2.31 % (17527)Instructions burned: 259 (million)
% 8.11/2.31 % (17527)------------------------------
% 8.11/2.31 % (17527)------------------------------
% 8.11/2.32 % (17535)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_17357 for (2989ds/182Mi)
% 8.11/2.33 % (17536)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_17357 for (2989ds/154Mi)
% 8.11/2.36 % (17529)Instruction limit reached!
% 8.11/2.36 % (17529)------------------------------
% 8.11/2.36 % (17529)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.11/2.36 % (17529)Termination reason: Unknown
% 8.11/2.36 % (17529)Termination phase: Saturation
% 8.11/2.36
% 8.11/2.36 % (17529)Memory used [KB]: 5884
% 8.11/2.36 % (17529)Time elapsed: 0.097 s
% 8.11/2.36 % (17529)Instructions burned: 233 (million)
% 8.11/2.36 % (17529)------------------------------
% 8.11/2.36 % (17529)------------------------------
% 8.11/2.37 % (17538)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_17357 for (2989ds/79Mi)
% 8.11/2.38 % (17534)Instruction limit reached!
% 8.11/2.38 % (17534)------------------------------
% 8.11/2.38 % (17534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.11/2.38 % (17534)Termination reason: Unknown
% 8.11/2.38 % (17534)Termination phase: Saturation
% 8.11/2.38
% 8.11/2.38 % (17534)Memory used [KB]: 5628
% 8.11/2.38 % (17534)Time elapsed: 0.085 s
% 8.11/2.38 % (17534)Instructions burned: 183 (million)
% 8.11/2.38 % (17534)------------------------------
% 8.11/2.38 % (17534)------------------------------
% 8.11/2.40 % (17539)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_17357 for (2988ds/216Mi)
% 8.73/2.40 % (17536)Instruction limit reached!
% 8.73/2.40 % (17536)------------------------------
% 8.73/2.40 % (17536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.73/2.40 % (17536)Termination reason: Unknown
% 8.73/2.40 % (17536)Termination phase: Saturation
% 8.73/2.40
% 8.73/2.40 % (17536)Memory used [KB]: 6012
% 8.73/2.40 % (17536)Time elapsed: 0.074 s
% 8.73/2.40 % (17536)Instructions burned: 154 (million)
% 8.73/2.40 % (17536)------------------------------
% 8.73/2.40 % (17536)------------------------------
% 8.73/2.40 % (17532)Instruction limit reached!
% 8.73/2.40 % (17532)------------------------------
% 8.73/2.40 % (17532)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.73/2.40 % (17532)Termination reason: Unknown
% 8.73/2.40 % (17532)Termination phase: Saturation
% 8.73/2.40
% 8.73/2.40 % (17532)Memory used [KB]: 6012
% 8.73/2.40 % (17532)Time elapsed: 0.131 s
% 8.73/2.40 % (17532)Instructions burned: 299 (million)
% 8.73/2.40 % (17532)------------------------------
% 8.73/2.40 % (17532)------------------------------
% 8.73/2.40 % (17535)Instruction limit reached!
% 8.73/2.40 % (17535)------------------------------
% 8.73/2.40 % (17535)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.73/2.40 % (17535)Termination reason: Unknown
% 8.73/2.40 % (17535)Termination phase: Saturation
% 8.73/2.40
% 8.73/2.40 % (17535)Memory used [KB]: 5628
% 8.73/2.40 % (17535)Time elapsed: 0.084 s
% 8.73/2.40 % (17535)Instructions burned: 182 (million)
% 8.73/2.40 % (17535)------------------------------
% 8.73/2.40 % (17535)------------------------------
% 8.73/2.41 % (17538)Instruction limit reached!
% 8.73/2.41 % (17538)------------------------------
% 8.73/2.41 % (17538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.73/2.41 % (17538)Termination reason: Unknown
% 8.73/2.41 % (17538)Termination phase: Saturation
% 8.73/2.41
% 8.73/2.41 % (17538)Memory used [KB]: 5628
% 8.73/2.41 % (17538)Time elapsed: 0.038 s
% 8.73/2.41 % (17538)Instructions burned: 79 (million)
% 8.73/2.41 % (17538)------------------------------
% 8.73/2.41 % (17538)------------------------------
% 8.73/2.42 % (17540)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_17357 for (2988ds/114Mi)
% 8.73/2.42 % (17541)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_17357 for (2988ds/922Mi)
% 8.73/2.42 % (17542)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_17357 for (2988ds/182Mi)
% 8.73/2.42 % (17543)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_17357 for (2988ds/164Mi)
% 8.73/2.43 % (17530)Instruction limit reached!
% 8.73/2.43 % (17530)------------------------------
% 8.73/2.43 % (17530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.73/2.43 % (17530)Termination reason: Unknown
% 8.73/2.43 % (17530)Termination phase: Saturation
% 8.73/2.43
% 8.73/2.43 % (17530)Memory used [KB]: 5884
% 8.73/2.43 % (17530)Time elapsed: 0.165 s
% 8.73/2.43 % (17530)Instructions burned: 459 (million)
% 8.73/2.43 % (17530)------------------------------
% 8.73/2.43 % (17530)------------------------------
% 8.73/2.44 % (17544)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_17357 for (2988ds/50Mi)
% 8.73/2.46 % (17540)Instruction limit reached!
% 8.73/2.46 % (17540)------------------------------
% 8.73/2.46 % (17540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.73/2.46 % (17540)Termination reason: Unknown
% 8.73/2.46 % (17540)Termination phase: Saturation
% 8.73/2.46
% 8.73/2.46 % (17540)Memory used [KB]: 5756
% 8.73/2.46 % (17540)Time elapsed: 0.048 s
% 8.73/2.46 % (17540)Instructions burned: 115 (million)
% 8.73/2.46 % (17540)------------------------------
% 8.73/2.46 % (17540)------------------------------
% 8.73/2.47 % (17544)Instruction limit reached!
% 8.73/2.47 % (17544)------------------------------
% 8.73/2.47 % (17544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.73/2.47 % (17544)Termination reason: Unknown
% 8.73/2.47 % (17544)Termination phase: Saturation
% 8.73/2.47
% 8.73/2.47 % (17544)Memory used [KB]: 10234
% 8.73/2.47 % (17544)Time elapsed: 0.026 s
% 8.73/2.47 % (17544)Instructions burned: 51 (million)
% 8.73/2.47 % (17544)------------------------------
% 8.73/2.47 % (17544)------------------------------
% 8.73/2.48 % (17545)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_17357 for (2988ds/368Mi)
% 8.73/2.48 % (17546)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_17357 for (2988ds/1021Mi)
% 9.39/2.50 % (17539)Instruction limit reached!
% 9.39/2.50 % (17539)------------------------------
% 9.39/2.50 % (17539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.39/2.50 % (17539)Termination reason: Unknown
% 9.39/2.50 % (17539)Termination phase: Saturation
% 9.39/2.50
% 9.39/2.50 % (17539)Memory used [KB]: 5884
% 9.39/2.50 % (17539)Time elapsed: 0.105 s
% 9.39/2.50 % (17539)Instructions burned: 216 (million)
% 9.39/2.50 % (17539)------------------------------
% 9.39/2.50 % (17539)------------------------------
% 9.39/2.50 % (17543)Instruction limit reached!
% 9.39/2.50 % (17543)------------------------------
% 9.39/2.50 % (17543)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.39/2.50 % (17543)Termination reason: Unknown
% 9.39/2.50 % (17543)Termination phase: Saturation
% 9.39/2.50
% 9.39/2.50 % (17543)Memory used [KB]: 1151
% 9.39/2.50 % (17543)Time elapsed: 0.077 s
% 9.39/2.50 % (17543)Instructions burned: 164 (million)
% 9.39/2.50 % (17543)------------------------------
% 9.39/2.50 % (17543)------------------------------
% 9.39/2.51 % (17542)Instruction limit reached!
% 9.39/2.51 % (17542)------------------------------
% 9.39/2.51 % (17542)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.39/2.51 % (17542)Termination reason: Unknown
% 9.39/2.51 % (17542)Termination phase: Saturation
% 9.39/2.51
% 9.39/2.51 % (17542)Memory used [KB]: 6140
% 9.39/2.51 % (17542)Time elapsed: 0.090 s
% 9.39/2.51 % (17542)Instructions burned: 183 (million)
% 9.39/2.51 % (17542)------------------------------
% 9.39/2.51 % (17542)------------------------------
% 9.39/2.52 % (17547)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_17357 for (2987ds/267Mi)
% 9.39/2.52 % (17548)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_17357 for (2987ds/204Mi)
% 9.39/2.52 % (17549)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_17357 for (2987ds/26Mi)
% 9.39/2.54 % (17549)Instruction limit reached!
% 9.39/2.54 % (17549)------------------------------
% 9.39/2.54 % (17549)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.39/2.54 % (17549)Termination reason: Unknown
% 9.39/2.54 % (17549)Termination phase: Saturation
% 9.39/2.54
% 9.39/2.54 % (17549)Memory used [KB]: 5500
% 9.39/2.54 % (17549)Time elapsed: 0.013 s
% 9.39/2.54 % (17549)Instructions burned: 26 (million)
% 9.39/2.54 % (17549)------------------------------
% 9.39/2.54 % (17549)------------------------------
% 9.39/2.55 % (17550)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_17357 for (2987ds/53Mi)
% 9.39/2.58 % (17550)Instruction limit reached!
% 9.39/2.58 % (17550)------------------------------
% 9.39/2.58 % (17550)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.39/2.58 % (17550)Termination reason: Unknown
% 9.39/2.58 % (17550)Termination phase: Saturation
% 9.39/2.58
% 9.39/2.58 % (17550)Memory used [KB]: 5628
% 9.39/2.58 % (17550)Time elapsed: 0.025 s
% 9.39/2.58 % (17550)Instructions burned: 54 (million)
% 9.39/2.58 % (17550)------------------------------
% 9.39/2.58 % (17550)------------------------------
% 9.39/2.59 % (17551)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_17357 for (2987ds/4436Mi)
% 9.79/2.61 % (17548)Instruction limit reached!
% 9.79/2.61 % (17548)------------------------------
% 9.79/2.61 % (17548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.79/2.61 % (17548)Termination reason: Unknown
% 9.79/2.61 % (17548)Termination phase: Saturation
% 9.79/2.61
% 9.79/2.61 % (17548)Memory used [KB]: 5628
% 9.79/2.61 % (17548)Time elapsed: 0.094 s
% 9.79/2.61 % (17548)Instructions burned: 204 (million)
% 9.79/2.61 % (17548)------------------------------
% 9.79/2.61 % (17548)------------------------------
% 9.79/2.62 % (17552)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_17357 for (2986ds/1539Mi)
% 9.79/2.64 % (17547)Instruction limit reached!
% 9.79/2.64 % (17547)------------------------------
% 9.79/2.64 % (17547)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.79/2.64 % (17547)Termination reason: Unknown
% 9.79/2.64 % (17547)Termination phase: Saturation
% 9.79/2.64
% 9.79/2.64 % (17547)Memory used [KB]: 6268
% 9.79/2.64 % (17547)Time elapsed: 0.125 s
% 9.79/2.64 % (17547)Instructions burned: 267 (million)
% 9.79/2.64 % (17547)------------------------------
% 9.79/2.64 % (17547)------------------------------
% 9.79/2.65 % (17545)Instruction limit reached!
% 9.79/2.65 % (17545)------------------------------
% 9.79/2.65 % (17545)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.79/2.65 % (17545)Termination reason: Unknown
% 9.79/2.65 % (17545)Termination phase: Saturation
% 9.79/2.65
% 9.79/2.65 % (17545)Memory used [KB]: 5884
% 9.79/2.65 % (17545)Time elapsed: 0.168 s
% 9.79/2.65 % (17545)Instructions burned: 369 (million)
% 9.79/2.65 % (17545)------------------------------
% 9.79/2.65 % (17545)------------------------------
% 9.79/2.65 % (17553)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_17357 for (2986ds/408Mi)
% 9.79/2.66 % (17554)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_17357 for (2986ds/5205Mi)
% 10.21/2.76 % (17533)Instruction limit reached!
% 10.21/2.76 % (17533)------------------------------
% 10.21/2.76 % (17533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.21/2.76 % (17533)Termination reason: Unknown
% 10.21/2.76 % (17533)Termination phase: Saturation
% 10.21/2.76
% 10.21/2.76 % (17533)Memory used [KB]: 8827
% 10.21/2.76 % (17533)Time elapsed: 0.467 s
% 10.21/2.76 % (17533)Instructions burned: 988 (million)
% 10.21/2.76 % (17533)------------------------------
% 10.21/2.76 % (17533)------------------------------
% 10.21/2.78 % (17555)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_17357 for (2985ds/1913Mi)
% 10.70/2.82 % (17541)Instruction limit reached!
% 10.70/2.82 % (17541)------------------------------
% 10.70/2.82 % (17541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.70/2.82 % (17541)Termination reason: Unknown
% 10.70/2.82 % (17541)Termination phase: Saturation
% 10.70/2.82
% 10.70/2.82 % (17541)Memory used [KB]: 5884
% 10.70/2.82 % (17541)Time elapsed: 0.398 s
% 10.70/2.82 % (17541)Instructions burned: 923 (million)
% 10.70/2.82 % (17541)------------------------------
% 10.70/2.82 % (17541)------------------------------
% 10.70/2.83 % (17556)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_17357 for (2984ds/4350Mi)
% 10.70/2.83 % (17553)Instruction limit reached!
% 10.70/2.83 % (17553)------------------------------
% 10.70/2.83 % (17553)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.70/2.83 % (17553)Termination reason: Unknown
% 10.70/2.83 % (17553)Termination phase: Saturation
% 10.70/2.83
% 10.70/2.83 % (17553)Memory used [KB]: 5628
% 10.70/2.83 % (17553)Time elapsed: 0.201 s
% 10.70/2.83 % (17553)Instructions burned: 408 (million)
% 10.70/2.83 % (17553)------------------------------
% 10.70/2.83 % (17553)------------------------------
% 10.70/2.85 % (17557)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_17357 for (2984ds/68Mi)
% 10.70/2.88 % (17557)Instruction limit reached!
% 10.70/2.88 % (17557)------------------------------
% 10.70/2.88 % (17557)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.70/2.88 % (17557)Termination reason: Unknown
% 10.70/2.88 % (17557)Termination phase: Saturation
% 10.70/2.88
% 10.70/2.88 % (17557)Memory used [KB]: 5628
% 10.70/2.88 % (17557)Time elapsed: 0.055 s
% 10.70/2.88 % (17557)Instructions burned: 70 (million)
% 10.70/2.88 % (17557)------------------------------
% 10.70/2.88 % (17557)------------------------------
% 11.35/2.90 % (17558)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_17357 for (2984ds/358Mi)
% 11.35/2.93 % (17546)Instruction limit reached!
% 11.35/2.93 % (17546)------------------------------
% 11.35/2.93 % (17546)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.35/2.93 % (17546)Termination reason: Unknown
% 11.35/2.93 % (17546)Termination phase: Saturation
% 11.35/2.93
% 11.35/2.93 % (17546)Memory used [KB]: 6012
% 11.35/2.93 % (17546)Time elapsed: 0.447 s
% 11.35/2.93 % (17546)Instructions burned: 1022 (million)
% 11.35/2.93 % (17546)------------------------------
% 11.35/2.93 % (17546)------------------------------
% 11.35/2.95 % (17559)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_17357 for (2983ds/31Mi)
% 11.35/2.96 % (17559)Instruction limit reached!
% 11.35/2.96 % (17559)------------------------------
% 11.35/2.96 % (17559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.35/2.96 % (17559)Termination reason: Unknown
% 11.35/2.96 % (17559)Termination phase: Saturation
% 11.35/2.96
% 11.35/2.96 % (17559)Memory used [KB]: 5500
% 11.35/2.96 % (17559)Time elapsed: 0.016 s
% 11.35/2.96 % (17559)Instructions burned: 31 (million)
% 11.35/2.96 % (17559)------------------------------
% 11.35/2.96 % (17559)------------------------------
% 11.35/2.98 % (17560)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_17357 for (2983ds/279Mi)
% 13.71/3.06 % (17558)Instruction limit reached!
% 13.71/3.06 % (17558)------------------------------
% 13.71/3.06 % (17558)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.71/3.06 % (17558)Termination reason: Unknown
% 13.71/3.06 % (17558)Termination phase: Saturation
% 13.71/3.06
% 13.71/3.06 % (17558)Memory used [KB]: 5628
% 13.71/3.06 % (17558)Time elapsed: 0.185 s
% 13.71/3.06 % (17558)Instructions burned: 359 (million)
% 13.71/3.06 % (17558)------------------------------
% 13.71/3.06 % (17558)------------------------------
% 13.71/3.07 % (17561)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_17357 for (2982ds/258Mi)
% 13.71/3.10 % (17560)Instruction limit reached!
% 13.71/3.10 % (17560)------------------------------
% 13.71/3.10 % (17560)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.71/3.10 % (17560)Termination reason: Unknown
% 13.71/3.10 % (17560)Termination phase: Saturation
% 13.71/3.10
% 13.71/3.10 % (17560)Memory used [KB]: 5756
% 13.71/3.10 % (17560)Time elapsed: 0.126 s
% 13.71/3.10 % (17560)Instructions burned: 279 (million)
% 13.71/3.10 % (17560)------------------------------
% 13.71/3.10 % (17560)------------------------------
% 13.71/3.12 % (17562)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_17357 for (2981ds/26Mi)
% 14.34/3.13 % (17562)Instruction limit reached!
% 14.34/3.13 % (17562)------------------------------
% 14.34/3.13 % (17562)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.34/3.13 % (17562)Termination reason: Unknown
% 14.34/3.13 % (17562)Termination phase: Saturation
% 14.34/3.13
% 14.34/3.13 % (17562)Memory used [KB]: 5500
% 14.34/3.13 % (17562)Time elapsed: 0.013 s
% 14.34/3.13 % (17562)Instructions burned: 26 (million)
% 14.34/3.13 % (17562)------------------------------
% 14.34/3.13 % (17562)------------------------------
% 14.34/3.14 % (17563)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_17357 for (2981ds/995Mi)
% 14.34/3.19 % (17561)Instruction limit reached!
% 14.34/3.19 % (17561)------------------------------
% 14.34/3.19 % (17561)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.34/3.19 % (17561)Termination reason: Unknown
% 14.34/3.19 % (17561)Termination phase: Saturation
% 14.34/3.19
% 14.34/3.19 % (17561)Memory used [KB]: 5628
% 14.34/3.19 % (17561)Time elapsed: 0.118 s
% 14.34/3.19 % (17561)Instructions burned: 258 (million)
% 14.34/3.19 % (17561)------------------------------
% 14.34/3.19 % (17561)------------------------------
% 14.85/3.21 % (17564)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_17357 for (2980ds/373Mi)
% 14.85/3.28 % (17552)Instruction limit reached!
% 14.85/3.28 % (17552)------------------------------
% 14.85/3.28 % (17552)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.85/3.28 % (17552)Termination reason: Unknown
% 14.85/3.28 % (17552)Termination phase: Saturation
% 14.85/3.28
% 14.85/3.28 % (17552)Memory used [KB]: 6012
% 14.85/3.28 % (17552)Time elapsed: 0.682 s
% 14.85/3.28 % (17552)Instructions burned: 1539 (million)
% 14.85/3.28 % (17552)------------------------------
% 14.85/3.28 % (17552)------------------------------
% 15.35/3.30 % (17565)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_17357 for (2979ds/253Mi)
% 15.35/3.38 % (17564)Instruction limit reached!
% 15.35/3.38 % (17564)------------------------------
% 15.35/3.38 % (17564)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.35/3.38 % (17564)Termination reason: Unknown
% 15.35/3.38 % (17564)Termination phase: Saturation
% 15.35/3.38
% 15.35/3.38 % (17564)Memory used [KB]: 5628
% 15.35/3.38 % (17564)Time elapsed: 0.169 s
% 15.35/3.38 % (17564)Instructions burned: 373 (million)
% 15.35/3.38 % (17564)------------------------------
% 15.35/3.38 % (17564)------------------------------
% 15.35/3.39 % (17566)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_17357 for (2978ds/832Mi)
% 15.91/3.41 % (17565)Instruction limit reached!
% 15.91/3.41 % (17565)------------------------------
% 15.91/3.41 % (17565)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.91/3.41 % (17565)Termination reason: Unknown
% 15.91/3.41 % (17565)Termination phase: Saturation
% 15.91/3.41
% 15.91/3.41 % (17565)Memory used [KB]: 5884
% 15.91/3.41 % (17565)Time elapsed: 0.113 s
% 15.91/3.41 % (17565)Instructions burned: 253 (million)
% 15.91/3.41 % (17565)------------------------------
% 15.91/3.41 % (17565)------------------------------
% 15.91/3.43 % (17567)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_17357 for (2978ds/668Mi)
% 16.85/3.60 % (17555)Instruction limit reached!
% 16.85/3.60 % (17555)------------------------------
% 16.85/3.60 % (17555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.85/3.60 % (17555)Termination reason: Unknown
% 16.85/3.60 % (17555)Termination phase: Saturation
% 16.85/3.60
% 16.85/3.60 % (17555)Memory used [KB]: 1535
% 16.85/3.60 % (17555)Time elapsed: 0.848 s
% 16.85/3.60 % (17555)Instructions burned: 1914 (million)
% 16.85/3.60 % (17555)------------------------------
% 16.85/3.60 % (17555)------------------------------
% 16.85/3.60 % (17563)Instruction limit reached!
% 16.85/3.60 % (17563)------------------------------
% 16.85/3.60 % (17563)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.85/3.60 % (17563)Termination reason: Unknown
% 16.85/3.60 % (17563)Termination phase: Saturation
% 16.85/3.60
% 16.85/3.60 % (17563)Memory used [KB]: 6652
% 16.85/3.60 % (17563)Time elapsed: 0.461 s
% 16.85/3.60 % (17563)Instructions burned: 995 (million)
% 16.85/3.60 % (17563)------------------------------
% 16.85/3.60 % (17563)------------------------------
% 16.85/3.62 % (17568)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_17357 for (2976ds/40Mi)
% 16.85/3.62 % (17569)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_17357 for (2976ds/294Mi)
% 16.85/3.64 % (17568)Instruction limit reached!
% 16.85/3.64 % (17568)------------------------------
% 16.85/3.64 % (17568)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.85/3.64 % (17568)Termination reason: Unknown
% 16.85/3.64 % (17568)Termination phase: Saturation
% 16.85/3.64
% 16.85/3.64 % (17568)Memory used [KB]: 5628
% 16.85/3.64 % (17568)Time elapsed: 0.020 s
% 16.85/3.64 % (17568)Instructions burned: 40 (million)
% 16.85/3.64 % (17568)------------------------------
% 16.85/3.64 % (17568)------------------------------
% 16.85/3.65 % (17570)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_17357 for (2976ds/187Mi)
% 17.68/3.70 % (17566)Instruction limit reached!
% 17.68/3.70 % (17566)------------------------------
% 17.68/3.70 % (17566)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.68/3.70 % (17566)Termination reason: Unknown
% 17.68/3.70 % (17566)Termination phase: Saturation
% 17.68/3.70
% 17.68/3.70 % (17566)Memory used [KB]: 5756
% 17.68/3.70 % (17566)Time elapsed: 0.309 s
% 17.68/3.70 % (17566)Instructions burned: 834 (million)
% 17.68/3.70 % (17566)------------------------------
% 17.68/3.70 % (17566)------------------------------
% 17.68/3.72 % (17571)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_17357 for (2975ds/371Mi)
% 17.68/3.74 % (17570)Instruction limit reached!
% 17.68/3.74 % (17570)------------------------------
% 17.68/3.74 % (17570)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.68/3.74 % (17570)Termination reason: Unknown
% 17.68/3.74 % (17570)Termination phase: Saturation
% 17.68/3.74
% 17.68/3.74 % (17570)Memory used [KB]: 5884
% 17.68/3.74 % (17570)Time elapsed: 0.084 s
% 17.68/3.74 % (17570)Instructions burned: 187 (million)
% 17.68/3.74 % (17570)------------------------------
% 17.68/3.74 % (17570)------------------------------
% 17.68/3.74 % (17567)Instruction limit reached!
% 17.68/3.74 % (17567)------------------------------
% 17.68/3.74 % (17567)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.68/3.74 % (17567)Termination reason: Unknown
% 17.68/3.74 % (17567)Termination phase: Saturation
% 17.68/3.74
% 17.68/3.74 % (17567)Memory used [KB]: 11001
% 17.68/3.74 % (17567)Time elapsed: 0.317 s
% 17.68/3.74 % (17567)Instructions burned: 669 (million)
% 17.68/3.74 % (17567)------------------------------
% 17.68/3.74 % (17567)------------------------------
% 17.68/3.74 % (17569)Instruction limit reached!
% 17.68/3.74 % (17569)------------------------------
% 17.68/3.74 % (17569)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.68/3.74 % (17569)Termination reason: Unknown
% 17.68/3.74 % (17569)Termination phase: Saturation
% 17.68/3.74
% 17.68/3.74 % (17569)Memory used [KB]: 6012
% 17.68/3.74 % (17569)Time elapsed: 0.127 s
% 17.68/3.74 % (17569)Instructions burned: 296 (million)
% 17.68/3.74 % (17569)------------------------------
% 17.68/3.74 % (17569)------------------------------
% 17.68/3.75 % (17572)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_17357 for (2975ds/1827Mi)
% 17.68/3.76 % (17573)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_17357 for (2975ds/70Mi)
% 17.68/3.76 % (17574)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_17357 for (2975ds/316Mi)
% 17.68/3.79 % (17573)Instruction limit reached!
% 17.68/3.79 % (17573)------------------------------
% 17.68/3.79 % (17573)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.68/3.79 % (17573)Termination reason: Unknown
% 17.68/3.79 % (17573)Termination phase: Saturation
% 17.68/3.79
% 17.68/3.79 % (17573)Memory used [KB]: 1407
% 17.68/3.79 % (17573)Time elapsed: 0.033 s
% 17.68/3.79 % (17573)Instructions burned: 70 (million)
% 17.68/3.79 % (17573)------------------------------
% 17.68/3.79 % (17573)------------------------------
% 18.92/3.81 % (17575)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_17357 for (2974ds/932Mi)
% 18.92/3.87 % (17571)Instruction limit reached!
% 18.92/3.87 % (17571)------------------------------
% 18.92/3.87 % (17571)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.92/3.87 % (17571)Termination reason: Unknown
% 18.92/3.87 % (17571)Termination phase: Saturation
% 18.92/3.87
% 18.92/3.87 % (17571)Memory used [KB]: 5884
% 18.92/3.87 % (17571)Time elapsed: 0.156 s
% 18.92/3.87 % (17571)Instructions burned: 372 (million)
% 18.92/3.87 % (17571)------------------------------
% 18.92/3.87 % (17571)------------------------------
% 18.92/3.89 % (17576)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_17357 for (2974ds/4714Mi)
% 19.40/3.91 % (17574)Instruction limit reached!
% 19.40/3.91 % (17574)------------------------------
% 19.40/3.91 % (17574)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.40/3.91 % (17574)Termination reason: Unknown
% 19.40/3.91 % (17574)Termination phase: Saturation
% 19.40/3.91
% 19.40/3.91 % (17574)Memory used [KB]: 6268
% 19.40/3.91 % (17574)Time elapsed: 0.155 s
% 19.40/3.91 % (17574)Instructions burned: 317 (million)
% 19.40/3.91 % (17574)------------------------------
% 19.40/3.91 % (17574)------------------------------
% 19.40/3.93 % (17577)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_17357 for (2973ds/8250Mi)
% 21.90/4.25 % (17575)Instruction limit reached!
% 21.90/4.25 % (17575)------------------------------
% 21.90/4.25 % (17575)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.90/4.25 % (17575)Termination reason: Unknown
% 21.90/4.25 % (17575)Termination phase: Saturation
% 21.90/4.25
% 21.90/4.25 % (17575)Memory used [KB]: 7803
% 21.90/4.25 % (17575)Time elapsed: 0.449 s
% 21.90/4.25 % (17575)Instructions burned: 933 (million)
% 21.90/4.25 % (17575)------------------------------
% 21.90/4.25 % (17575)------------------------------
% 21.90/4.27 % (17578)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_17357 for (2970ds/770Mi)
% 23.16/4.43 % (17551)Instruction limit reached!
% 23.16/4.43 % (17551)------------------------------
% 23.16/4.43 % (17551)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.16/4.43 % (17551)Termination reason: Unknown
% 23.16/4.43 % (17551)Termination phase: Saturation
% 23.16/4.43
% 23.16/4.43 % (17551)Memory used [KB]: 6268
% 23.16/4.43 % (17551)Time elapsed: 1.838 s
% 23.16/4.43 % (17551)Instructions burned: 4438 (million)
% 23.16/4.43 % (17551)------------------------------
% 23.16/4.43 % (17551)------------------------------
% 23.16/4.45 % (17579)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_17357 for (2968ds/794Mi)
% 23.70/4.53 % (17572)Instruction limit reached!
% 23.70/4.53 % (17572)------------------------------
% 23.70/4.53 % (17572)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.70/4.53 % (17572)Termination reason: Unknown
% 23.70/4.53 % (17572)Termination phase: Saturation
% 23.70/4.53
% 23.70/4.53 % (17572)Memory used [KB]: 6012
% 23.70/4.53 % (17572)Time elapsed: 0.780 s
% 23.70/4.53 % (17572)Instructions burned: 1827 (million)
% 23.70/4.53 % (17572)------------------------------
% 23.70/4.53 % (17572)------------------------------
% 23.70/4.55 % (17580)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_17357 for (2967ds/464Mi)
% 23.70/4.59 % (17578)Instruction limit reached!
% 23.70/4.59 % (17578)------------------------------
% 23.70/4.59 % (17578)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.70/4.59 % (17578)Termination reason: Unknown
% 23.70/4.59 % (17578)Termination phase: Saturation
% 23.70/4.59
% 23.70/4.59 % (17578)Memory used [KB]: 5884
% 23.70/4.59 % (17578)Time elapsed: 0.318 s
% 23.70/4.59 % (17578)Instructions burned: 771 (million)
% 23.70/4.59 % (17578)------------------------------
% 23.70/4.59 % (17578)------------------------------
% 24.49/4.60 % (17581)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_17357 for (2966ds/1376Mi)
% 24.49/4.61 % (17556)Instruction limit reached!
% 24.49/4.61 % (17556)------------------------------
% 24.49/4.61 % (17556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.49/4.61 % (17556)Termination reason: Unknown
% 24.49/4.61 % (17556)Termination phase: Saturation
% 24.49/4.61
% 24.49/4.61 % (17556)Memory used [KB]: 6012
% 24.49/4.61 % (17556)Time elapsed: 1.806 s
% 24.49/4.61 % (17556)Instructions burned: 4352 (million)
% 24.49/4.61 % (17556)------------------------------
% 24.49/4.61 % (17556)------------------------------
% 24.49/4.63 % (17582)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_17357 for (2966ds/906Mi)
% 24.82/4.75 % (17579)Instruction limit reached!
% 24.82/4.75 % (17579)------------------------------
% 24.82/4.75 % (17579)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.82/4.75 % (17579)Termination reason: Unknown
% 24.82/4.75 % (17579)Termination phase: Saturation
% 24.82/4.75
% 24.82/4.75 % (17579)Memory used [KB]: 1407
% 24.82/4.75 % (17579)Time elapsed: 0.303 s
% 24.82/4.75 % (17579)Instructions burned: 794 (million)
% 24.82/4.75 % (17579)------------------------------
% 24.82/4.75 % (17579)------------------------------
% 24.82/4.75 % (17580)Instruction limit reached!
% 24.82/4.75 % (17580)------------------------------
% 24.82/4.75 % (17580)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.82/4.75 % (17580)Termination reason: Unknown
% 24.82/4.75 % (17580)Termination phase: Saturation
% 24.82/4.75
% 24.82/4.75 % (17580)Memory used [KB]: 5628
% 24.82/4.75 % (17580)Time elapsed: 0.208 s
% 24.82/4.75 % (17580)Instructions burned: 465 (million)
% 24.82/4.75 % (17580)------------------------------
% 24.82/4.75 % (17580)------------------------------
% 24.82/4.77 % (17583)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_17357 for (2965ds/434Mi)
% 24.82/4.77 % (17584)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_17357 for (2965ds/865Mi)
% 25.94/4.94 % (17583)Instruction limit reached!
% 25.94/4.94 % (17583)------------------------------
% 25.94/4.94 % (17583)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.94/4.94 % (17583)Termination reason: Unknown
% 25.94/4.94 % (17583)Termination phase: Saturation
% 25.94/4.94
% 25.94/4.94 % (17583)Memory used [KB]: 5756
% 25.94/4.94 % (17583)Time elapsed: 0.172 s
% 25.94/4.94 % (17583)Instructions burned: 434 (million)
% 25.94/4.94 % (17583)------------------------------
% 25.94/4.94 % (17583)------------------------------
% 25.94/4.95 % (17585)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_17357 for (2963ds/593Mi)
% 27.67/5.03 % (17582)Instruction limit reached!
% 27.67/5.03 % (17582)------------------------------
% 27.67/5.03 % (17582)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.67/5.03 % (17582)Termination reason: Unknown
% 27.67/5.03 % (17582)Termination phase: Saturation
% 27.67/5.03
% 27.67/5.03 % (17582)Memory used [KB]: 6012
% 27.67/5.03 % (17582)Time elapsed: 0.404 s
% 27.67/5.03 % (17582)Instructions burned: 907 (million)
% 27.67/5.03 % (17582)------------------------------
% 27.67/5.03 % (17582)------------------------------
% 27.67/5.05 % (17586)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_17357 for (2962ds/443Mi)
% 28.32/5.16 % (17584)Instruction limit reached!
% 28.32/5.16 % (17584)------------------------------
% 28.32/5.16 % (17584)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.32/5.16 % (17584)Termination reason: Unknown
% 28.32/5.16 % (17584)Termination phase: Saturation
% 28.32/5.16
% 28.32/5.16 % (17584)Memory used [KB]: 6396
% 28.32/5.16 % (17584)Time elapsed: 0.398 s
% 28.32/5.16 % (17584)Instructions burned: 866 (million)
% 28.32/5.16 % (17584)------------------------------
% 28.32/5.16 % (17584)------------------------------
% 28.32/5.17 % (17554)Instruction limit reached!
% 28.32/5.17 % (17554)------------------------------
% 28.32/5.17 % (17554)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.32/5.17 % (17554)Termination reason: Unknown
% 28.32/5.17 % (17554)Termination phase: Saturation
% 28.32/5.17
% 28.32/5.17 % (17554)Memory used [KB]: 14200
% 28.32/5.17 % (17554)Time elapsed: 2.533 s
% 28.32/5.17 % (17554)Instructions burned: 5205 (million)
% 28.32/5.17 % (17554)------------------------------
% 28.32/5.17 % (17554)------------------------------
% 28.32/5.18 % (17587)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_17357 for (2961ds/594Mi)
% 28.32/5.19 % (17588)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_17357 for (2961ds/327Mi)
% 28.70/5.21 % (17585)Instruction limit reached!
% 28.70/5.21 % (17585)------------------------------
% 28.70/5.21 % (17585)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.70/5.21 % (17585)Termination reason: Unknown
% 28.70/5.21 % (17585)Termination phase: Saturation
% 28.70/5.21
% 28.70/5.21 % (17585)Memory used [KB]: 6012
% 28.70/5.21 % (17585)Time elapsed: 0.257 s
% 28.70/5.21 % (17585)Instructions burned: 594 (million)
% 28.70/5.21 % (17585)------------------------------
% 28.70/5.21 % (17585)------------------------------
% 28.70/5.22 % (17589)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_17357 for (2960ds/5411Mi)
% 28.70/5.25 % (17586)Instruction limit reached!
% 28.70/5.25 % (17586)------------------------------
% 28.70/5.25 % (17586)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.70/5.25 % (17586)Termination reason: Unknown
% 28.70/5.25 % (17586)Termination phase: Saturation
% 28.70/5.25
% 28.70/5.25 % (17586)Memory used [KB]: 5628
% 28.70/5.25 % (17586)Time elapsed: 0.224 s
% 28.70/5.25 % (17586)Instructions burned: 443 (million)
% 28.70/5.25 % (17586)------------------------------
% 28.70/5.25 % (17586)------------------------------
% 28.70/5.25 % (17581)Instruction limit reached!
% 28.70/5.25 % (17581)------------------------------
% 28.70/5.25 % (17581)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.70/5.25 % (17581)Termination reason: Unknown
% 28.70/5.25 % (17581)Termination phase: Saturation
% 28.70/5.25
% 28.70/5.25 % (17581)Memory used [KB]: 10874
% 28.70/5.25 % (17581)Time elapsed: 0.652 s
% 28.70/5.25 % (17581)Instructions burned: 1377 (million)
% 28.70/5.25 % (17581)------------------------------
% 28.70/5.25 % (17581)------------------------------
% 28.70/5.27 % (17590)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_17357 for (2960ds/1762Mi)
% 28.70/5.27 % (17591)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_17357 for (2960ds/96Mi)
% 29.21/5.32 % (17591)Instruction limit reached!
% 29.21/5.32 % (17591)------------------------------
% 29.21/5.32 % (17591)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.21/5.32 % (17591)Termination reason: Unknown
% 29.21/5.32 % (17591)Termination phase: Saturation
% 29.21/5.32
% 29.21/5.32 % (17591)Memory used [KB]: 5884
% 29.21/5.32 % (17591)Time elapsed: 0.049 s
% 29.21/5.32 % (17591)Instructions burned: 96 (million)
% 29.21/5.32 % (17591)------------------------------
% 29.21/5.32 % (17591)------------------------------
% 29.21/5.33 % (17588)Instruction limit reached!
% 29.21/5.33 % (17588)------------------------------
% 29.21/5.33 % (17588)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.21/5.33 % (17588)Termination reason: Unknown
% 29.21/5.33 % (17588)Termination phase: Saturation
% 29.21/5.33
% 29.21/5.33 % (17588)Memory used [KB]: 5628
% 29.21/5.33 % (17588)Time elapsed: 0.167 s
% 29.21/5.33 % (17588)Instructions burned: 327 (million)
% 29.21/5.33 % (17588)------------------------------
% 29.21/5.33 % (17588)------------------------------
% 29.21/5.33 % (17592)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_17357 for (2959ds/503Mi)
% 29.21/5.35 % (17593)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_17357 for (2959ds/90Mi)
% 29.21/5.38 % (17593)Instruction limit reached!
% 29.21/5.38 % (17593)------------------------------
% 29.21/5.38 % (17593)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.21/5.38 % (17593)Termination reason: Unknown
% 29.21/5.38 % (17593)Termination phase: Saturation
% 29.21/5.38
% 29.21/5.38 % (17593)Memory used [KB]: 5628
% 29.21/5.38 % (17593)Time elapsed: 0.038 s
% 29.21/5.38 % (17593)Instructions burned: 90 (million)
% 29.21/5.38 % (17593)------------------------------
% 29.21/5.38 % (17593)------------------------------
% 29.69/5.40 % (17594)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_17357 for (2958ds/593Mi)
% 29.69/5.45 % (17587)Instruction limit reached!
% 29.69/5.45 % (17587)------------------------------
% 29.69/5.45 % (17587)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.69/5.45 % (17587)Termination reason: Unknown
% 29.69/5.45 % (17587)Termination phase: Saturation
% 29.69/5.45
% 29.69/5.45 % (17587)Memory used [KB]: 5756
% 29.69/5.45 % (17587)Time elapsed: 0.294 s
% 29.69/5.45 % (17587)Instructions burned: 595 (million)
% 29.69/5.45 % (17587)------------------------------
% 29.69/5.45 % (17587)------------------------------
% 29.69/5.47 % (17595)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_17357 for (2958ds/1512Mi)
% 30.17/5.55 % (17576)Instruction limit reached!
% 30.17/5.55 % (17576)------------------------------
% 30.17/5.55 % (17576)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.17/5.55 % (17576)Termination reason: Unknown
% 30.17/5.55 % (17576)Termination phase: Saturation
% 30.17/5.55
% 30.17/5.55 % (17576)Memory used [KB]: 6396
% 30.17/5.55 % (17576)Time elapsed: 1.662 s
% 30.17/5.55 % (17576)Instructions burned: 4714 (million)
% 30.17/5.55 % (17576)------------------------------
% 30.17/5.55 % (17576)------------------------------
% 30.17/5.56 % (17592)Instruction limit reached!
% 30.17/5.56 % (17592)------------------------------
% 30.17/5.56 % (17592)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.17/5.56 % (17592)Termination reason: Unknown
% 30.17/5.56 % (17592)Termination phase: Saturation
% 30.17/5.56
% 30.17/5.56 % (17592)Memory used [KB]: 5628
% 30.17/5.56 % (17592)Time elapsed: 0.225 s
% 30.17/5.56 % (17592)Instructions burned: 504 (million)
% 30.17/5.56 % (17592)------------------------------
% 30.17/5.56 % (17592)------------------------------
% 30.17/5.56 % (17596)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_17357 for (2957ds/569Mi)
% 30.17/5.57 % (17597)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_17357 for (2957ds/501Mi)
% 30.58/5.66 % (17594)Instruction limit reached!
% 30.58/5.66 % (17594)------------------------------
% 30.58/5.66 % (17594)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.58/5.66 % (17594)Termination reason: Unknown
% 30.58/5.66 % (17594)Termination phase: Saturation
% 30.58/5.66
% 30.58/5.66 % (17594)Memory used [KB]: 5884
% 30.58/5.66 % (17594)Time elapsed: 0.261 s
% 30.58/5.66 % (17594)Instructions burned: 593 (million)
% 30.58/5.66 % (17594)------------------------------
% 30.58/5.66 % (17594)------------------------------
% 30.58/5.68 % (17598)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_17357 for (2956ds/562Mi)
% 30.95/5.77 % (17597)Instruction limit reached!
% 30.95/5.77 % (17597)------------------------------
% 30.95/5.77 % (17597)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.95/5.77 % (17597)Termination reason: Unknown
% 30.95/5.77 % (17597)Termination phase: Saturation
% 30.95/5.77
% 30.95/5.77 % (17597)Memory used [KB]: 5884
% 30.95/5.77 % (17597)Time elapsed: 0.202 s
% 30.95/5.77 % (17597)Instructions burned: 502 (million)
% 30.95/5.77 % (17597)------------------------------
% 30.95/5.77 % (17597)------------------------------
% 30.95/5.79 % (17599)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_17357 for (2955ds/406Mi)
% 31.27/5.84 % (17596)Instruction limit reached!
% 31.27/5.84 % (17596)------------------------------
% 31.27/5.84 % (17596)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.27/5.84 % (17596)Termination reason: Unknown
% 31.27/5.84 % (17596)Termination phase: Saturation
% 31.27/5.84
% 31.27/5.84 % (17596)Memory used [KB]: 6524
% 31.27/5.84 % (17596)Time elapsed: 0.281 s
% 31.27/5.84 % (17596)Instructions burned: 570 (million)
% 31.27/5.84 % (17596)------------------------------
% 31.27/5.84 % (17596)------------------------------
% 31.27/5.86 % (17600)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_17357 for (2954ds/582Mi)
% 31.67/5.91 % (17598)Instruction limit reached!
% 31.67/5.91 % (17598)------------------------------
% 31.67/5.91 % (17598)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.67/5.91 % (17598)Termination reason: Unknown
% 31.67/5.91 % (17598)Termination phase: Saturation
% 31.67/5.91
% 31.67/5.91 % (17598)Memory used [KB]: 5884
% 31.67/5.91 % (17598)Time elapsed: 0.232 s
% 31.67/5.91 % (17598)Instructions burned: 564 (million)
% 31.67/5.91 % (17598)------------------------------
% 31.67/5.91 % (17598)------------------------------
% 31.67/5.92 % (17601)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_17357 for (2953ds/456Mi)
% 31.67/5.98 % (17599)Instruction limit reached!
% 31.67/5.98 % (17599)------------------------------
% 31.67/5.98 % (17599)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.67/5.98 % (17599)Termination reason: Unknown
% 31.67/5.98 % (17599)Termination phase: Saturation
% 31.67/5.98
% 31.67/5.98 % (17599)Memory used [KB]: 5756
% 31.67/5.98 % (17599)Time elapsed: 0.189 s
% 31.67/5.98 % (17599)Instructions burned: 408 (million)
% 31.67/5.98 % (17599)------------------------------
% 31.67/5.98 % (17599)------------------------------
% 31.67/5.99 % (17602)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_17357 for (2952ds/393Mi)
% 34.70/6.11 % (17590)Instruction limit reached!
% 34.70/6.11 % (17590)------------------------------
% 34.70/6.11 % (17590)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.70/6.11 % (17590)Termination reason: Unknown
% 34.70/6.11 % (17590)Termination phase: Saturation
% 34.70/6.11
% 34.70/6.11 % (17590)Memory used [KB]: 9978
% 34.70/6.11 % (17590)Time elapsed: 0.843 s
% 34.70/6.11 % (17590)Instructions burned: 1763 (million)
% 34.70/6.11 % (17590)------------------------------
% 34.70/6.11 % (17590)------------------------------
% 34.70/6.12 % (17600)Instruction limit reached!
% 34.70/6.12 % (17600)------------------------------
% 34.70/6.12 % (17600)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.70/6.12 % (17600)Termination reason: Unknown
% 34.70/6.12 % (17600)Termination phase: Saturation
% 34.70/6.12
% 34.70/6.12 % (17600)Memory used [KB]: 5756
% 34.70/6.12 % (17600)Time elapsed: 0.263 s
% 34.70/6.12 % (17600)Instructions burned: 582 (million)
% 34.70/6.12 % (17600)------------------------------
% 34.70/6.12 % (17600)------------------------------
% 34.70/6.12 % (17601)Instruction limit reached!
% 34.70/6.12 % (17601)------------------------------
% 34.70/6.12 % (17601)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.70/6.12 % (17601)Termination reason: Unknown
% 34.70/6.12 % (17601)Termination phase: Saturation
% 34.70/6.12
% 34.70/6.12 % (17601)Memory used [KB]: 5628
% 34.70/6.12 % (17601)Time elapsed: 0.201 s
% 34.70/6.12 % (17601)Instructions burned: 458 (million)
% 34.70/6.12 % (17601)------------------------------
% 34.70/6.12 % (17601)------------------------------
% 34.70/6.12 % (17603)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_17357 for (2951ds/1335Mi)
% 35.41/6.14 % (17604)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_17357 for (2951ds/3373Mi)
% 35.41/6.14 % (17605)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_17357 for (2951ds/474Mi)
% 35.41/6.14 % (17595)Instruction limit reached!
% 35.41/6.14 % (17595)------------------------------
% 35.41/6.14 % (17595)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.41/6.14 % (17595)Termination reason: Unknown
% 35.41/6.14 % (17595)Termination phase: Saturation
% 35.41/6.14
% 35.41/6.14 % (17595)Memory used [KB]: 6140
% 35.41/6.14 % (17595)Time elapsed: 0.675 s
% 35.41/6.14 % (17595)Instructions burned: 1513 (million)
% 35.41/6.14 % (17595)------------------------------
% 35.41/6.14 % (17595)------------------------------
% 35.41/6.16 % (17606)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_17357 for (2951ds/157Mi)
% 35.41/6.16 % (17602)Instruction limit reached!
% 35.41/6.16 % (17602)------------------------------
% 35.41/6.16 % (17602)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.41/6.16 % (17602)Termination reason: Unknown
% 35.41/6.16 % (17602)Termination phase: Saturation
% 35.41/6.16
% 35.41/6.16 % (17602)Memory used [KB]: 5756
% 35.41/6.16 % (17602)Time elapsed: 0.167 s
% 35.41/6.16 % (17602)Instructions burned: 394 (million)
% 35.41/6.16 % (17602)------------------------------
% 35.41/6.16 % (17602)------------------------------
% 35.41/6.18 % (17607)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_17357 for (2951ds/590Mi)
% 35.61/6.23 % (17606)Instruction limit reached!
% 35.61/6.23 % (17606)------------------------------
% 35.61/6.23 % (17606)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.61/6.23 % (17606)Termination reason: Unknown
% 35.61/6.23 % (17606)Termination phase: Saturation
% 35.61/6.23
% 35.61/6.23 % (17606)Memory used [KB]: 5756
% 35.61/6.23 % (17606)Time elapsed: 0.074 s
% 35.61/6.23 % (17606)Instructions burned: 157 (million)
% 35.61/6.23 % (17606)------------------------------
% 35.61/6.23 % (17606)------------------------------
% 35.61/6.24 % (17608)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_17357 for (2950ds/104Mi)
% 35.61/6.29 % (17608)Instruction limit reached!
% 35.61/6.29 % (17608)------------------------------
% 35.61/6.29 % (17608)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.61/6.29 % (17608)Termination reason: Unknown
% 35.61/6.29 % (17608)Termination phase: Saturation
% 35.61/6.29
% 35.61/6.29 % (17608)Memory used [KB]: 5628
% 35.61/6.29 % (17608)Time elapsed: 0.049 s
% 35.61/6.29 % (17608)Instructions burned: 105 (million)
% 35.61/6.29 % (17608)------------------------------
% 35.61/6.29 % (17608)------------------------------
% 35.97/6.31 % (17609)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_17357 for (2949ds/414Mi)
% 35.97/6.36 % (17605)Instruction limit reached!
% 35.97/6.36 % (17605)------------------------------
% 35.97/6.36 % (17605)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.97/6.36 % (17605)Termination reason: Unknown
% 35.97/6.36 % (17605)Termination phase: Saturation
% 35.97/6.36
% 35.97/6.36 % (17605)Memory used [KB]: 6524
% 35.97/6.36 % (17605)Time elapsed: 0.220 s
% 35.97/6.36 % (17605)Instructions burned: 474 (million)
% 35.97/6.36 % (17605)------------------------------
% 35.97/6.36 % (17605)------------------------------
% 35.97/6.37 % (17610)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_17357 for (2949ds/715Mi)
% 36.41/6.41 % (17607)Instruction limit reached!
% 36.41/6.41 % (17607)------------------------------
% 36.41/6.41 % (17607)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.41/6.41 % (17607)Termination reason: Unknown
% 36.41/6.41 % (17607)Termination phase: Saturation
% 36.41/6.41
% 36.41/6.41 % (17607)Memory used [KB]: 5884
% 36.41/6.41 % (17607)Time elapsed: 0.234 s
% 36.41/6.41 % (17607)Instructions burned: 591 (million)
% 36.41/6.41 % (17607)------------------------------
% 36.41/6.41 % (17607)------------------------------
% 36.41/6.43 % (17611)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_17357 for (2948ds/961Mi)
% 36.41/6.46 % (17609)Instruction limit reached!
% 36.41/6.46 % (17609)------------------------------
% 36.41/6.46 % (17609)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.41/6.46 % (17609)Termination reason: Unknown
% 36.41/6.46 % (17609)Termination phase: Saturation
% 36.41/6.46
% 36.41/6.46 % (17609)Memory used [KB]: 5884
% 36.41/6.46 % (17609)Time elapsed: 0.155 s
% 36.41/6.46 % (17609)Instructions burned: 416 (million)
% 36.41/6.46 % (17609)------------------------------
% 36.41/6.46 % (17609)------------------------------
% 36.41/6.47 % (17612)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_17357 for (2948ds/1213Mi)
% 37.03/6.58 % (17603)Instruction limit reached!
% 37.03/6.58 % (17603)------------------------------
% 37.03/6.58 % (17603)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.03/6.58 % (17603)Termination reason: Unknown
% 37.03/6.58 % (17603)Termination phase: Saturation
% 37.03/6.58
% 37.03/6.58 % (17603)Memory used [KB]: 5884
% 37.03/6.58 % (17603)Time elapsed: 0.454 s
% 37.03/6.58 % (17603)Instructions burned: 1337 (million)
% 37.03/6.58 % (17603)------------------------------
% 37.03/6.58 % (17603)------------------------------
% 37.03/6.59 % (17613)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_17357 for (2947ds/1979Mi)
% 37.71/6.60 % (17610)Instruction limit reached!
% 37.71/6.60 % (17610)------------------------------
% 37.71/6.60 % (17610)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.71/6.60 % (17610)Termination reason: Unknown
% 37.71/6.60 % (17610)Termination phase: Saturation
% 37.71/6.60
% 37.71/6.60 % (17610)Memory used [KB]: 1279
% 37.71/6.60 % (17610)Time elapsed: 0.230 s
% 37.71/6.60 % (17610)Instructions burned: 715 (million)
% 37.71/6.60 % (17610)------------------------------
% 37.71/6.60 % (17610)------------------------------
% 37.71/6.61 % (17614)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_17357 for (2946ds/481Mi)
% 38.15/6.75 % (17611)Instruction limit reached!
% 38.15/6.75 % (17611)------------------------------
% 38.15/6.75 % (17611)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.15/6.75 % (17611)Termination reason: Unknown
% 38.15/6.75 % (17611)Termination phase: Saturation
% 38.15/6.75
% 38.15/6.75 % (17611)Memory used [KB]: 5884
% 38.15/6.75 % (17611)Time elapsed: 0.327 s
% 38.15/6.75 % (17611)Instructions burned: 962 (million)
% 38.15/6.75 % (17611)------------------------------
% 38.15/6.75 % (17611)------------------------------
% 38.15/6.76 % (17615)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_17357 for (2945ds/783Mi)
% 38.69/6.80 % (17614)Instruction limit reached!
% 38.69/6.80 % (17614)------------------------------
% 38.69/6.80 % (17614)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.69/6.80 % (17614)Termination reason: Unknown
% 38.69/6.80 % (17614)Termination phase: Saturation
% 38.69/6.80
% 38.69/6.80 % (17614)Memory used [KB]: 6780
% 38.69/6.80 % (17614)Time elapsed: 0.190 s
% 38.69/6.80 % (17614)Instructions burned: 482 (million)
% 38.69/6.80 % (17614)------------------------------
% 38.69/6.80 % (17614)------------------------------
% 38.69/6.82 % (17616)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_17357 for (2944ds/432Mi)
% 39.09/6.92 % (17612)Instruction limit reached!
% 39.09/6.92 % (17612)------------------------------
% 39.09/6.92 % (17612)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 39.09/6.92 % (17612)Termination reason: Unknown
% 39.09/6.92 % (17612)Termination phase: Saturation
% 39.09/6.92
% 39.09/6.92 % (17612)Memory used [KB]: 5884
% 39.09/6.92 % (17612)Time elapsed: 0.451 s
% 39.09/6.92 % (17612)Instructions burned: 1214 (million)
% 39.09/6.92 % (17612)------------------------------
% 39.09/6.92 % (17612)------------------------------
% 39.09/6.93 % (17589)Instruction limit reached!
% 39.09/6.93 % (17589)------------------------------
% 39.09/6.93 % (17589)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 39.09/6.93 % (17589)Termination reason: Unknown
% 39.09/6.93 % (17589)Termination phase: Saturation
% 39.09/6.93
% 39.09/6.93 % (17589)Memory used [KB]: 6140
% 39.09/6.93 % (17589)Time elapsed: 1.703 s
% 39.09/6.93 % (17589)Instructions burned: 5417 (million)
% 39.09/6.93 % (17589)------------------------------
% 39.09/6.93 % (17589)------------------------------
% 39.09/6.93 % (17617)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_17357 for (2943ds/1670Mi)
% 39.09/6.94 % (17618)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_17357 for (2943ds/90Mi)
% 39.09/6.96 % (17618)Instruction limit reached!
% 39.09/6.96 % (17618)------------------------------
% 39.09/6.96 % (17618)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 39.09/6.96 % (17618)Termination reason: Unknown
% 39.09/6.96 % (17618)Termination phase: Saturation
% 39.09/6.96
% 39.09/6.96 % (17618)Memory used [KB]: 5628
% 39.09/6.96 % (17618)Time elapsed: 0.028 s
% 39.09/6.96 % (17618)Instructions burned: 93 (million)
% 39.09/6.96 % (17618)------------------------------
% 39.09/6.96 % (17618)------------------------------
% 39.09/6.97 % (17619)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_17357 for (2943ds/346Mi)
% 39.09/6.97 % (17616)Instruction limit reached!
% 39.09/6.97 % (17616)------------------------------
% 39.09/6.97 % (17616)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 39.09/6.97 % (17616)Termination reason: Unknown
% 39.09/6.97 % (17616)Termination phase: Saturation
% 39.09/6.97
% 39.09/6.97 % (17616)Memory used [KB]: 5756
% 39.09/6.97 % (17616)Time elapsed: 0.160 s
% 39.09/6.97 % (17616)Instructions burned: 432 (million)
% 39.09/6.97 % (17616)------------------------------
% 39.09/6.97 % (17616)------------------------------
% 39.09/6.98 % (17620)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on DTF2THF_17357 for (2943ds/401Mi)
% 39.09/7.01 % (17615)Instruction limit reached!
% 39.09/7.01 % (17615)------------------------------
% 39.09/7.01 % (17615)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 39.09/7.01 % (17615)Termination reason: Unknown
% 39.09/7.01 % (17615)Termination phase: Saturation
% 39.09/7.01
% 39.09/7.01 % (17615)Memory used [KB]: 5884
% 39.09/7.01 % (17615)Time elapsed: 0.249 s
% 39.09/7.01 % (17615)Instructions burned: 784 (million)
% 39.09/7.01 % (17615)------------------------------
% 39.09/7.01 % (17615)------------------------------
% 41.63/7.02 % (17621)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_17357 for (2942ds/6454Mi)
% 41.63/7.07 % (17619)Instruction limit reached!
% 41.63/7.07 % (17619)------------------------------
% 41.63/7.07 % (17619)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.63/7.07 % (17619)Termination reason: Unknown
% 41.63/7.07 % (17619)Termination phase: Saturation
% 41.63/7.07
% 41.63/7.07 % (17619)Memory used [KB]: 6524
% 41.63/7.07 % (17619)Time elapsed: 0.123 s
% 41.63/7.07 % (17619)Instructions burned: 348 (million)
% 41.63/7.07 % (17619)------------------------------
% 41.63/7.07 % (17619)------------------------------
% 41.63/7.08 % (17622)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on DTF2THF_17357 for (2942ds/283Mi)
% 41.63/7.09 % (17577)Instruction limit reached!
% 41.63/7.09 % (17577)------------------------------
% 41.63/7.09 % (17577)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.63/7.09 % (17577)Termination reason: Unknown
% 41.63/7.09 % (17577)Termination phase: Saturation
% 41.63/7.09
% 41.63/7.09 % (17577)Memory used [KB]: 6908
% 41.63/7.09 % (17577)Time elapsed: 3.164 s
% 41.63/7.09 % (17577)Instructions burned: 8251 (million)
% 41.63/7.09 % (17577)------------------------------
% 41.63/7.09 % (17577)------------------------------
% 41.63/7.10 % (17623)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on DTF2THF_17357 for (2941ds/865Mi)
% 41.63/7.10 % (17613)Instruction limit reached!
% 41.63/7.10 % (17613)------------------------------
% 41.63/7.10 % (17613)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.63/7.10 % (17613)Termination reason: Unknown
% 41.63/7.10 % (17613)Termination phase: Saturation
% 41.63/7.10
% 41.63/7.10 % (17613)Memory used [KB]: 5884
% 41.63/7.10 % (17613)Time elapsed: 0.520 s
% 41.63/7.10 % (17613)Instructions burned: 1981 (million)
% 41.63/7.10 % (17613)------------------------------
% 41.63/7.10 % (17613)------------------------------
% 42.18/7.11 % (17624)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on DTF2THF_17357 for (2941ds/4528Mi)
% 42.18/7.15 % (17620)Instruction limit reached!
% 42.18/7.15 % (17620)------------------------------
% 42.18/7.15 % (17620)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.18/7.15 % (17620)Termination reason: Unknown
% 42.18/7.15 % (17620)Termination phase: Saturation
% 42.18/7.15
% 42.18/7.15 % (17620)Memory used [KB]: 6012
% 42.18/7.15 % (17620)Time elapsed: 0.191 s
% 42.18/7.15 % (17620)Instructions burned: 402 (million)
% 42.18/7.15 % (17620)------------------------------
% 42.18/7.15 % (17620)------------------------------
% 42.18/7.15 % (17622)Instruction limit reached!
% 42.18/7.15 % (17622)------------------------------
% 42.18/7.15 % (17622)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.18/7.15 % (17622)Termination reason: Unknown
% 42.18/7.15 % (17622)Termination phase: Saturation
% 42.18/7.15
% 42.18/7.15 % (17622)Memory used [KB]: 5884
% 42.18/7.15 % (17622)Time elapsed: 0.094 s
% 42.18/7.15 % (17622)Instructions burned: 286 (million)
% 42.18/7.15 % (17622)------------------------------
% 42.18/7.15 % (17622)------------------------------
% 42.18/7.16 % (17625)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on DTF2THF_17357 for (2941ds/1001Mi)
% 42.18/7.16 % (17604)Instruction limit reached!
% 42.18/7.16 % (17604)------------------------------
% 42.18/7.16 % (17604)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.18/7.16 % (17604)Termination reason: Unknown
% 42.18/7.16 % (17604)Termination phase: Saturation
% 42.18/7.16
% 42.18/7.16 % (17604)Memory used [KB]: 6268
% 42.18/7.16 % (17604)Time elapsed: 1.027 s
% 42.18/7.16 % (17604)Instructions burned: 3378 (million)
% 42.18/7.16 % (17604)------------------------------
% 42.18/7.16 % (17604)------------------------------
% 42.18/7.16 % (17626)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_17357 for (2941ds/102Mi)
% 42.18/7.17 % (17627)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_17357 for (2941ds/952Mi)
% 42.47/7.20 % (17626)Instruction limit reached!
% 42.47/7.20 % (17626)------------------------------
% 42.47/7.20 % (17626)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.47/7.20 % (17626)Termination reason: Unknown
% 42.47/7.20 % (17626)Termination phase: Saturation
% 42.47/7.20
% 42.47/7.20 % (17626)Memory used [KB]: 5628
% 42.47/7.20 % (17626)Time elapsed: 0.057 s
% 42.47/7.20 % (17626)Instructions burned: 104 (million)
% 42.47/7.20 % (17626)------------------------------
% 42.47/7.20 % (17626)------------------------------
% 42.47/7.21 % (17628)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_17357 for (2940ds/578Mi)
% 42.62/7.36 % (17628)Instruction limit reached!
% 42.62/7.36 % (17628)------------------------------
% 42.62/7.36 % (17628)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.62/7.36 % (17628)Termination reason: Unknown
% 42.62/7.36 % (17628)Termination phase: Saturation
% 42.62/7.36
% 42.62/7.36 % (17628)Memory used [KB]: 6524
% 42.62/7.36 % (17628)Time elapsed: 0.158 s
% 42.62/7.36 % (17628)Instructions burned: 581 (million)
% 42.62/7.36 % (17628)------------------------------
% 42.62/7.36 % (17628)------------------------------
% 42.62/7.37 % (17629)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_17357 for (2939ds/643Mi)
% 42.88/7.41 % (17627)Instruction limit reached!
% 42.88/7.41 % (17627)------------------------------
% 42.88/7.41 % (17627)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.88/7.41 % (17627)Termination reason: Unknown
% 42.88/7.41 % (17627)Termination phase: Saturation
% 42.88/7.41
% 42.88/7.41 % (17627)Memory used [KB]: 5884
% 42.88/7.41 % (17627)Time elapsed: 0.264 s
% 42.88/7.41 % (17627)Instructions burned: 956 (million)
% 42.88/7.41 % (17627)------------------------------
% 42.88/7.41 % (17627)------------------------------
% 42.88/7.42 % (17630)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_17357 for (2938ds/865Mi)
% 42.88/7.42 % (17617)Instruction limit reached!
% 42.88/7.42 % (17617)------------------------------
% 42.88/7.42 % (17617)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.88/7.42 % (17617)Termination reason: Unknown
% 42.88/7.42 % (17617)Termination phase: Saturation
% 42.88/7.42
% 42.88/7.42 % (17617)Memory used [KB]: 7547
% 42.88/7.43 % (17617)Time elapsed: 0.495 s
% 42.88/7.43 % (17617)Instructions burned: 1671 (million)
% 42.88/7.43 % (17617)------------------------------
% 42.88/7.43 % (17617)------------------------------
% 42.88/7.43 % (17631)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_17357 for (2938ds/1174Mi)
% 42.88/7.44 % (17625)Instruction limit reached!
% 42.88/7.44 % (17625)------------------------------
% 42.88/7.44 % (17625)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.88/7.44 % (17625)Termination reason: Unknown
% 42.88/7.44 % (17625)Termination phase: Saturation
% 42.88/7.44
% 42.88/7.44 % (17625)Memory used [KB]: 5884
% 42.88/7.44 % (17625)Time elapsed: 0.299 s
% 42.88/7.44 % (17625)Instructions burned: 1001 (million)
% 42.88/7.44 % (17625)------------------------------
% 42.88/7.44 % (17625)------------------------------
% 42.88/7.45 % (17632)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_17357 for (2938ds/644Mi)
% 42.88/7.48 % (17623)Instruction limit reached!
% 42.88/7.48 % (17623)------------------------------
% 42.88/7.48 % (17623)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.88/7.48 % (17623)Termination reason: Unknown
% 42.88/7.48 % (17623)Termination phase: Saturation
% 42.88/7.48
% 42.88/7.48 % (17623)Memory used [KB]: 6140
% 42.88/7.48 % (17623)Time elapsed: 0.404 s
% 42.88/7.48 % (17623)Instructions burned: 866 (million)
% 42.88/7.48 % (17623)------------------------------
% 42.88/7.48 % (17623)------------------------------
% 43.84/7.50 % (17633)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_17357 for (2937ds/1201Mi)
% 43.84/7.57 % (17629)Instruction limit reached!
% 43.84/7.57 % (17629)------------------------------
% 43.84/7.57 % (17629)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.84/7.57 % (17629)Termination reason: Unknown
% 43.84/7.57 % (17629)Termination phase: Saturation
% 43.84/7.57
% 43.84/7.57 % (17629)Memory used [KB]: 6268
% 43.84/7.57 % (17629)Time elapsed: 0.195 s
% 43.84/7.57 % (17629)Instructions burned: 643 (million)
% 43.84/7.57 % (17629)------------------------------
% 43.84/7.57 % (17629)------------------------------
% 43.84/7.58 % (17634)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_17357 for (2937ds/1046Mi)
% 43.84/7.58 % (17634)Refutation not found, incomplete strategy
% 43.84/7.58 % (17634)------------------------------
% 43.84/7.58 % (17634)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.84/7.58 % (17634)Termination reason: Refutation not found, incomplete strategy
% 43.84/7.58
% 43.84/7.58
% 43.84/7.58 % (17634)Memory used [KB]: 5628
% 43.84/7.58 % (17634)Time elapsed: 0.008 s
% 43.84/7.58 % (17634)Instructions burned: 25 (million)
% 43.84/7.58 % (17634)------------------------------
% 43.84/7.58 % (17634)------------------------------
% 43.84/7.59 % (17635)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_17357 for (2936ds/222Mi)
% 44.06/7.64 % (17632)Instruction limit reached!
% 44.06/7.64 % (17632)------------------------------
% 44.06/7.64 % (17632)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.06/7.64 % (17632)Termination reason: Unknown
% 44.06/7.64 % (17632)Termination phase: Saturation
% 44.06/7.64
% 44.06/7.64 % (17632)Memory used [KB]: 5884
% 44.06/7.64 % (17632)Time elapsed: 0.191 s
% 44.06/7.64 % (17632)Instructions burned: 645 (million)
% 44.06/7.64 % (17632)------------------------------
% 44.06/7.64 % (17632)------------------------------
% 44.06/7.65 % (17636)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_17357 for (2936ds/68Mi)
% 44.06/7.65 % (17630)Instruction limit reached!
% 44.06/7.65 % (17630)------------------------------
% 44.06/7.65 % (17630)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.06/7.65 % (17630)Termination reason: Unknown
% 44.06/7.65 % (17630)Termination phase: Saturation
% 44.06/7.65
% 44.06/7.65 % (17630)Memory used [KB]: 5884
% 44.06/7.65 % (17630)Time elapsed: 0.225 s
% 44.06/7.65 % (17630)Instructions burned: 865 (million)
% 44.06/7.65 % (17630)------------------------------
% 44.06/7.65 % (17630)------------------------------
% 44.06/7.66 % (17637)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_17357 for (2936ds/454Mi)
% 44.06/7.66 % (17635)Instruction limit reached!
% 44.06/7.66 % (17635)------------------------------
% 44.06/7.66 % (17635)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.06/7.66 % (17635)Termination reason: Unknown
% 44.06/7.66 % (17635)Termination phase: Saturation
% 44.06/7.66
% 44.06/7.66 % (17635)Memory used [KB]: 5884
% 44.06/7.66 % (17635)Time elapsed: 0.065 s
% 44.06/7.66 % (17635)Instructions burned: 224 (million)
% 44.06/7.66 % (17635)------------------------------
% 44.06/7.66 % (17635)------------------------------
% 44.06/7.67 % (17638)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_17357 for (2936ds/360Mi)
% 44.06/7.67 % (17636)Instruction limit reached!
% 44.06/7.67 % (17636)------------------------------
% 44.06/7.67 % (17636)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.06/7.67 % (17636)Termination reason: Unknown
% 44.06/7.67 % (17636)Termination phase: Saturation
% 44.06/7.67
% 44.06/7.67 % (17636)Memory used [KB]: 5628
% 44.06/7.67 % (17636)Time elapsed: 0.021 s
% 44.06/7.67 % (17636)Instructions burned: 71 (million)
% 44.06/7.67 % (17636)------------------------------
% 44.06/7.67 % (17636)------------------------------
% 44.06/7.68 % (17639)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_17357 for (2936ds/157Mi)
% 44.60/7.72 % (17639)Instruction limit reached!
% 44.60/7.72 % (17639)------------------------------
% 44.60/7.72 % (17639)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.60/7.72 % (17639)Termination reason: Unknown
% 44.60/7.72 % (17639)Termination phase: Saturation
% 44.60/7.72
% 44.60/7.72 % (17639)Memory used [KB]: 5884
% 44.60/7.72 % (17639)Time elapsed: 0.047 s
% 44.60/7.72 % (17639)Instructions burned: 157 (million)
% 44.60/7.72 % (17639)------------------------------
% 44.60/7.72 % (17639)------------------------------
% 44.60/7.73 % (17640)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on DTF2THF_17357 for (2935ds/5061Mi)
% 44.60/7.76 % (17631)Instruction limit reached!
% 44.60/7.76 % (17631)------------------------------
% 44.60/7.76 % (17631)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.60/7.76 % (17631)Termination reason: Unknown
% 44.60/7.76 % (17631)Termination phase: Saturation
% 44.60/7.76
% 44.60/7.76 % (17631)Memory used [KB]: 6012
% 44.60/7.76 % (17631)Time elapsed: 0.329 s
% 44.60/7.76 % (17631)Instructions burned: 1176 (million)
% 44.60/7.76 % (17631)------------------------------
% 44.60/7.76 % (17631)------------------------------
% 44.60/7.77 % (17638)Instruction limit reached!
% 44.60/7.77 % (17638)------------------------------
% 44.60/7.77 % (17638)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.60/7.77 % (17638)Termination reason: Unknown
% 44.60/7.77 % (17638)Termination phase: Saturation
% 44.60/7.77
% 44.60/7.77 % (17638)Memory used [KB]: 5884
% 44.60/7.77 % (17638)Time elapsed: 0.104 s
% 44.60/7.77 % (17638)Instructions burned: 360 (million)
% 44.60/7.77 % (17638)------------------------------
% 44.60/7.77 % (17638)------------------------------
% 44.60/7.77 % (17641)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_17357 for (2935ds/2401Mi)
% 44.60/7.78 % (17642)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_17357 for (2935ds/5798Mi)
% 44.60/7.79 % (17637)Instruction limit reached!
% 44.60/7.79 % (17637)------------------------------
% 44.60/7.79 % (17637)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.60/7.79 % (17637)Termination reason: Unknown
% 44.60/7.79 % (17637)Termination phase: Saturation
% 44.60/7.79
% 44.60/7.79 % (17637)Memory used [KB]: 11001
% 44.60/7.79 % (17637)Time elapsed: 0.134 s
% 44.60/7.79 % (17637)Instructions burned: 455 (million)
% 44.60/7.79 % (17637)------------------------------
% 44.60/7.79 % (17637)------------------------------
% 45.24/7.80 % (17643)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_17357 for (2934ds/346Mi)
% 45.24/7.87 % (17624)Instruction limit reached!
% 45.24/7.87 % (17624)------------------------------
% 45.24/7.87 % (17624)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.24/7.87 % (17624)Termination reason: Unknown
% 45.24/7.87 % (17624)Termination phase: Saturation
% 45.24/7.87
% 45.24/7.87 % (17624)Memory used [KB]: 1663
% 45.24/7.87 % (17624)Time elapsed: 0.779 s
% 45.24/7.87 % (17624)Instructions burned: 4530 (million)
% 45.24/7.87 % (17624)------------------------------
% 45.24/7.87 % (17624)------------------------------
% 45.24/7.87 % (17633)Instruction limit reached!
% 45.24/7.87 % (17633)------------------------------
% 45.24/7.87 % (17633)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.24/7.87 % (17633)Termination reason: Unknown
% 45.24/7.87 % (17633)Termination phase: Saturation
% 45.24/7.87
% 45.24/7.87 % (17633)Memory used [KB]: 5884
% 45.24/7.87 % (17633)Time elapsed: 0.369 s
% 45.24/7.87 % (17633)Instructions burned: 1204 (million)
% 45.24/7.87 % (17633)------------------------------
% 45.24/7.87 % (17633)------------------------------
% 45.24/7.88 % (17644)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on DTF2THF_17357 for (2934ds/1321Mi)
% 45.24/7.88 % (17645)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_17357 for (2934ds/1312Mi)
% 46.40/7.90 % (17643)Instruction limit reached!
% 46.40/7.90 % (17643)------------------------------
% 46.40/7.90 % (17643)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 46.40/7.90 % (17643)Termination reason: Unknown
% 46.40/7.90 % (17643)Termination phase: Saturation
% 46.40/7.90
% 46.40/7.90 % (17643)Memory used [KB]: 6524
% 46.40/7.90 % (17643)Time elapsed: 0.101 s
% 46.40/7.90 % (17643)Instructions burned: 346 (million)
% 46.40/7.90 % (17643)------------------------------
% 46.40/7.90 % (17643)------------------------------
% 46.40/7.91 % (17646)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on DTF2THF_17357 for (2933ds/672Mi)
% 48.59/8.10 % (17646)Instruction limit reached!
% 48.59/8.10 % (17646)------------------------------
% 48.59/8.10 % (17646)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.59/8.10 % (17646)Termination reason: Unknown
% 48.59/8.10 % (17646)Termination phase: Saturation
% 48.59/8.10
% 48.59/8.10 % (17646)Memory used [KB]: 5756
% 48.59/8.10 % (17646)Time elapsed: 0.192 s
% 48.59/8.10 % (17646)Instructions burned: 672 (million)
% 48.59/8.10 % (17646)------------------------------
% 48.59/8.10 % (17646)------------------------------
% 48.59/8.11 % (17647)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on DTF2THF_17357 for (2931ds/1897Mi)
% 49.84/8.23 % (17644)Instruction limit reached!
% 49.84/8.23 % (17644)------------------------------
% 49.84/8.23 % (17644)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.84/8.23 % (17644)Termination reason: Unknown
% 49.84/8.23 % (17644)Termination phase: Saturation
% 49.84/8.23
% 49.84/8.23 % (17644)Memory used [KB]: 1407
% 49.84/8.23 % (17644)Time elapsed: 0.354 s
% 49.84/8.23 % (17644)Instructions burned: 1324 (million)
% 49.84/8.23 % (17644)------------------------------
% 49.84/8.23 % (17644)------------------------------
% 49.84/8.24 % (17645)Instruction limit reached!
% 49.84/8.24 % (17645)------------------------------
% 49.84/8.24 % (17645)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.84/8.24 % (17645)Termination reason: Unknown
% 49.84/8.24 % (17645)Termination phase: Saturation
% 49.84/8.24
% 49.84/8.24 % (17645)Memory used [KB]: 8315
% 49.84/8.24 % (17645)Time elapsed: 0.361 s
% 49.84/8.24 % (17645)Instructions burned: 1312 (million)
% 49.84/8.24 % (17645)------------------------------
% 49.84/8.24 % (17645)------------------------------
% 49.84/8.24 % (17648)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on DTF2THF_17357 for (2930ds/1202Mi)
% 49.84/8.25 % (17649)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on DTF2THF_17357 for (2930ds/1493Mi)
% 50.33/8.31 % (17641)Instruction limit reached!
% 50.33/8.31 % (17641)------------------------------
% 50.33/8.31 % (17641)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.33/8.31 % (17641)Termination reason: Unknown
% 50.33/8.31 % (17641)Termination phase: Saturation
% 50.33/8.31
% 50.33/8.31 % (17641)Memory used [KB]: 1407
% 50.33/8.31 % (17641)Time elapsed: 0.532 s
% 50.33/8.31 % (17641)Instructions burned: 2401 (million)
% 50.33/8.31 % (17641)------------------------------
% 50.33/8.31 % (17641)------------------------------
% 50.33/8.32 % (17650)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on DTF2THF_17357 for (2929ds/7679Mi)
% 50.65/8.43 % (17621)Instruction limit reached!
% 50.65/8.43 % (17621)------------------------------
% 50.65/8.43 % (17621)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.65/8.43 % (17621)Termination reason: Unknown
% 50.65/8.43 % (17621)Termination phase: Saturation
% 50.65/8.43
% 50.65/8.43 % (17621)Memory used [KB]: 6396
% 50.65/8.43 % (17621)Time elapsed: 1.437 s
% 50.65/8.43 % (17621)Instructions burned: 6455 (million)
% 50.65/8.43 % (17621)------------------------------
% 50.65/8.43 % (17621)------------------------------
% 50.65/8.44 % (17651)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on DTF2THF_17357 for (2928ds/340Mi)
% 50.89/8.54 % (17651)Instruction limit reached!
% 50.89/8.54 % (17651)------------------------------
% 50.89/8.54 % (17651)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.89/8.54 % (17651)Termination reason: Unknown
% 50.89/8.54 % (17651)Termination phase: Saturation
% 50.89/8.54
% 50.89/8.54 % (17651)Memory used [KB]: 5756
% 50.89/8.54 % (17651)Time elapsed: 0.099 s
% 50.89/8.54 % (17651)Instructions burned: 343 (million)
% 50.89/8.54 % (17651)------------------------------
% 50.89/8.54 % (17651)------------------------------
% 50.89/8.55 % (17652)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on DTF2THF_17357 for (2927ds/3672Mi)
% 50.89/8.57 % (17648)Instruction limit reached!
% 50.89/8.57 % (17648)------------------------------
% 50.89/8.57 % (17648)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.89/8.57 % (17648)Termination reason: Unknown
% 50.89/8.57 % (17648)Termination phase: Saturation
% 50.89/8.57
% 50.89/8.57 % (17648)Memory used [KB]: 1407
% 50.89/8.57 % (17648)Time elapsed: 0.328 s
% 50.89/8.57 % (17648)Instructions burned: 1204 (million)
% 50.89/8.57 % (17648)------------------------------
% 50.89/8.57 % (17648)------------------------------
% 50.89/8.58 % (17653)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on DTF2THF_17357 for (2927ds/1535Mi)
% 51.53/8.63 % (17647)Instruction limit reached!
% 51.53/8.63 % (17647)------------------------------
% 51.53/8.63 % (17647)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.53/8.63 % (17647)Termination reason: Unknown
% 51.53/8.63 % (17647)Termination phase: Saturation
% 51.53/8.63
% 51.53/8.63 % (17647)Memory used [KB]: 7164
% 51.53/8.63 % (17647)Time elapsed: 0.528 s
% 51.53/8.63 % (17647)Instructions burned: 1898 (million)
% 51.53/8.63 % (17647)------------------------------
% 51.53/8.63 % (17647)------------------------------
% 51.53/8.64 % (17654)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on DTF2THF_17357 for (2926ds/4637Mi)
% 51.53/8.67 % (17649)Instruction limit reached!
% 51.53/8.67 % (17649)------------------------------
% 51.53/8.67 % (17649)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.53/8.67 % (17649)Termination reason: Unknown
% 51.53/8.67 % (17649)Termination phase: Saturation
% 51.53/8.67
% 51.53/8.67 % (17649)Memory used [KB]: 7164
% 51.53/8.67 % (17649)Time elapsed: 0.426 s
% 51.53/8.67 % (17649)Instructions burned: 1494 (million)
% 51.53/8.67 % (17649)------------------------------
% 51.53/8.67 % (17649)------------------------------
% 51.53/8.68 % (17655)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on DTF2THF_17357 for (2926ds/3174Mi)
% 55.60/9.02 % (17653)Instruction limit reached!
% 55.60/9.02 % (17653)------------------------------
% 55.60/9.02 % (17653)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.60/9.02 % (17653)Termination reason: Unknown
% 55.60/9.02 % (17653)Termination phase: Saturation
% 55.60/9.02
% 55.60/9.02 % (17653)Memory used [KB]: 8699
% 55.60/9.02 % (17653)Time elapsed: 0.441 s
% 55.60/9.02 % (17653)Instructions burned: 1535 (million)
% 55.60/9.02 % (17653)------------------------------
% 55.60/9.02 % (17653)------------------------------
% 55.60/9.03 % (17656)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_17357 for (2922ds/307Mi)
% 56.22/9.12 % (17656)Instruction limit reached!
% 56.22/9.12 % (17656)------------------------------
% 56.22/9.12 % (17656)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.22/9.12 % (17656)Termination reason: Unknown
% 56.22/9.12 % (17656)Termination phase: Saturation
% 56.22/9.12
% 56.22/9.12 % (17656)Memory used [KB]: 5756
% 56.22/9.12 % (17656)Time elapsed: 0.092 s
% 56.22/9.12 % (17656)Instructions burned: 308 (million)
% 56.22/9.12 % (17656)------------------------------
% 56.22/9.12 % (17656)------------------------------
% 56.22/9.13 % (17657)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on DTF2THF_17357 for (2921ds/3619Mi)
% 56.22/9.14 % (17640)Instruction limit reached!
% 56.22/9.14 % (17640)------------------------------
% 56.22/9.14 % (17640)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.22/9.14 % (17640)Termination reason: Unknown
% 56.22/9.14 % (17640)Termination phase: Saturation
% 56.22/9.14
% 56.22/9.14 % (17640)Memory used [KB]: 6268
% 56.22/9.14 % (17640)Time elapsed: 1.410 s
% 56.22/9.14 % (17640)Instructions burned: 5061 (million)
% 56.22/9.14 % (17640)------------------------------
% 56.22/9.14 % (17640)------------------------------
% 56.22/9.15 % (17658)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on DTF2THF_17357 for (2921ds/2325Mi)
% 57.28/9.33 % (17642)Instruction limit reached!
% 57.28/9.33 % (17642)------------------------------
% 57.28/9.33 % (17642)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.28/9.33 % (17642)Termination reason: Unknown
% 57.28/9.33 % (17642)Termination phase: Saturation
% 57.28/9.33
% 57.28/9.33 % (17642)Memory used [KB]: 2046
% 57.28/9.33 % (17642)Time elapsed: 1.555 s
% 57.28/9.33 % (17642)Instructions burned: 5800 (million)
% 57.28/9.33 % (17642)------------------------------
% 57.28/9.33 % (17642)------------------------------
% 57.28/9.34 % (17659)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on DTF2THF_17357 for (2919ds/2341Mi)
% 57.72/9.48 % (17652)Instruction limit reached!
% 57.72/9.48 % (17652)------------------------------
% 57.72/9.48 % (17652)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.72/9.48 % (17652)Termination reason: Unknown
% 57.72/9.48 % (17652)Termination phase: Saturation
% 57.72/9.48
% 57.72/9.48 % (17652)Memory used [KB]: 6140
% 57.72/9.48 % (17652)Time elapsed: 0.929 s
% 57.72/9.48 % (17652)Instructions burned: 3673 (million)
% 57.72/9.48 % (17652)------------------------------
% 57.72/9.48 % (17652)------------------------------
% 57.72/9.49 % (17660)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on DTF2THF_17357 for (2918ds/7257Mi)
% 58.12/9.52 % (17655)Instruction limit reached!
% 58.12/9.52 % (17655)------------------------------
% 58.12/9.52 % (17655)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.12/9.52 % (17655)Termination reason: Unknown
% 58.12/9.52 % (17655)Termination phase: Saturation
% 58.12/9.52
% 58.12/9.52 % (17655)Memory used [KB]: 6012
% 58.12/9.52 % (17655)Time elapsed: 0.840 s
% 58.12/9.52 % (17655)Instructions burned: 3177 (million)
% 58.12/9.52 % (17655)------------------------------
% 58.12/9.52 % (17655)------------------------------
% 58.12/9.53 % (17661)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on DTF2THF_17357 for (2917ds/3710Mi)
% 58.55/9.77 % (17658)Instruction limit reached!
% 58.55/9.77 % (17658)------------------------------
% 58.55/9.77 % (17658)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.55/9.77 % (17658)Termination reason: Unknown
% 58.55/9.77 % (17658)Termination phase: Saturation
% 58.55/9.77
% 58.55/9.77 % (17658)Memory used [KB]: 6268
% 58.55/9.77 % (17658)Time elapsed: 0.614 s
% 58.55/9.77 % (17658)Instructions burned: 2327 (million)
% 58.55/9.77 % (17658)------------------------------
% 58.55/9.77 % (17658)------------------------------
% 58.55/9.77 % (17662)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on DTF2THF_17357 for (2915ds/326Mi)
% 59.38/9.86 % (17662)Instruction limit reached!
% 59.38/9.86 % (17662)------------------------------
% 59.38/9.86 % (17662)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 59.38/9.86 % (17662)Termination reason: Unknown
% 59.38/9.86 % (17662)Termination phase: Saturation
% 59.38/9.86
% 59.38/9.86 % (17662)Memory used [KB]: 5756
% 59.38/9.86 % (17662)Time elapsed: 0.112 s
% 59.38/9.86 % (17662)Instructions burned: 326 (million)
% 59.38/9.86 % (17662)------------------------------
% 59.38/9.86 % (17662)------------------------------
% 59.38/9.87 % (17663)lrs+1010_1:64_au=on:c=on:e2e=on:flr=on:hfsq=on:hfsql=off:hfsqr=4,1:ins=1:ntd=on:sp=occurrence:i=1100:si=on:rtra=on_0 on DTF2THF_17357 for (2914ds/1100Mi)
% 59.68/9.90 % (17654)Instruction limit reached!
% 59.68/9.90 % (17654)------------------------------
% 59.68/9.90 % (17654)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 59.68/9.90 % (17654)Termination reason: Unknown
% 59.68/9.90 % (17654)Termination phase: Saturation
% 59.68/9.90
% 59.68/9.90 % (17654)Memory used [KB]: 6396
% 59.68/9.90 % (17654)Time elapsed: 1.257 s
% 59.68/9.90 % (17654)Instructions burned: 4637 (million)
% 59.68/9.90 % (17654)------------------------------
% 59.68/9.90 % (17654)------------------------------
% 59.68/9.91 % (17664)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_17357 for (2913ds/406Mi)
% 59.68/9.97 % (17659)Instruction limit reached!
% 59.68/9.97 % (17659)------------------------------
% 59.68/9.97 % (17659)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 59.68/9.97 % (17659)Termination reason: Unknown
% 59.68/9.97 % (17659)Termination phase: Saturation
% 59.68/9.97
% 59.68/9.97 % (17659)Memory used [KB]: 6012
% 59.68/9.97 % (17659)Time elapsed: 0.630 s
% 59.68/9.97 % (17659)Instructions burned: 2343 (million)
% 59.68/9.97 % (17659)------------------------------
% 59.68/9.97 % (17659)------------------------------
% 59.68/9.98 % (17665)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on DTF2THF_17357 for (2913ds/1871Mi)
% 62.57/10.03 % (17664)Instruction limit reached!
% 62.57/10.03 % (17664)------------------------------
% 62.57/10.03 % (17664)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 62.57/10.03 % (17664)Termination reason: Unknown
% 62.57/10.03 % (17664)Termination phase: Saturation
% 62.57/10.03
% 62.57/10.03 % (17664)Memory used [KB]: 5756
% 62.57/10.03 % (17664)Time elapsed: 0.142 s
% 62.57/10.03 % (17664)Instructions burned: 406 (million)
% 62.57/10.03 % (17664)------------------------------
% 62.57/10.03 % (17664)------------------------------
% 62.57/10.04 % (17666)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1194:si=on:rtra=on_0 on DTF2THF_17357 for (2912ds/1194Mi)
% 63.20/10.15 % (17657)Instruction limit reached!
% 63.20/10.15 % (17657)------------------------------
% 63.20/10.15 % (17657)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.20/10.15 % (17657)Termination reason: Unknown
% 63.20/10.15 % (17657)Termination phase: Saturation
% 63.20/10.15
% 63.20/10.15 % (17657)Memory used [KB]: 17398
% 63.20/10.15 % (17657)Time elapsed: 1.019 s
% 63.20/10.15 % (17657)Instructions burned: 3619 (million)
% 63.20/10.15 % (17657)------------------------------
% 63.20/10.15 % (17657)------------------------------
% 63.20/10.16 % (17667)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_17357 for (2911ds/474Mi)
% 63.20/10.19 % (17663)Instruction limit reached!
% 63.20/10.19 % (17663)------------------------------
% 63.20/10.19 % (17663)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.20/10.19 % (17663)Termination reason: Unknown
% 63.20/10.19 % (17663)Termination phase: Saturation
% 63.20/10.19
% 63.20/10.19 % (17663)Memory used [KB]: 6012
% 63.20/10.19 % (17663)Time elapsed: 0.334 s
% 63.20/10.19 % (17663)Instructions burned: 1103 (million)
% 63.20/10.19 % (17663)------------------------------
% 63.20/10.19 % (17663)------------------------------
% 63.69/10.20 % (17668)dis+1010_1:1_au=on:cnfonf=lazy_gen:ins=3:plsq=on:plsqc=1:plsqr=15142123,262144:sp=reverse_arity:i=3115:si=on:rtra=on_0 on DTF2THF_17357 for (2910ds/3115Mi)
% 63.69/10.30 % (17667)Instruction limit reached!
% 63.69/10.30 % (17667)------------------------------
% 63.69/10.30 % (17667)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.69/10.30 % (17667)Termination reason: Unknown
% 63.69/10.30 % (17667)Termination phase: Saturation
% 63.69/10.30
% 63.69/10.30 % (17667)Memory used [KB]: 6524
% 63.69/10.30 % (17667)Time elapsed: 0.140 s
% 63.69/10.30 % (17667)Instructions burned: 474 (million)
% 63.69/10.30 % (17667)------------------------------
% 63.69/10.30 % (17667)------------------------------
% 64.24/10.30 % (17669)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on DTF2THF_17357 for (2909ds/831Mi)
% 64.24/10.37 % (17666)Instruction limit reached!
% 64.24/10.37 % (17666)------------------------------
% 64.24/10.37 % (17666)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.24/10.37 % (17666)Termination reason: Unknown
% 64.24/10.37 % (17666)Termination phase: Saturation
% 64.24/10.37
% 64.24/10.37 % (17666)Memory used [KB]: 5884
% 64.24/10.37 % (17666)Time elapsed: 0.359 s
% 64.24/10.38 % (17666)Instructions burned: 1194 (million)
% 64.24/10.38 % (17666)------------------------------
% 64.24/10.38 % (17666)------------------------------
% 64.24/10.38 % (17670)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_17357 for (2908ds/1188Mi)
% 64.24/10.39 % (17650)Instruction limit reached!
% 64.24/10.39 % (17650)------------------------------
% 64.24/10.39 % (17650)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.24/10.39 % (17650)Termination reason: Unknown
% 64.24/10.39 % (17650)Termination phase: Saturation
% 64.24/10.39
% 64.24/10.39 % (17650)Memory used [KB]: 2174
% 64.24/10.39 % (17650)Time elapsed: 2.081 s
% 64.24/10.39 % (17650)Instructions burned: 7680 (million)
% 64.24/10.39 % (17650)------------------------------
% 64.24/10.39 % (17650)------------------------------
% 64.97/10.40 % (17671)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=2868:si=on:rtra=on_0 on DTF2THF_17357 for (2908ds/2868Mi)
% 65.27/10.53 % (17669)Instruction limit reached!
% 65.27/10.53 % (17669)------------------------------
% 65.27/10.53 % (17669)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.27/10.53 % (17669)Termination reason: Unknown
% 65.27/10.53 % (17669)Termination phase: Saturation
% 65.27/10.53
% 65.27/10.53 % (17669)Memory used [KB]: 5884
% 65.27/10.53 % (17669)Time elapsed: 0.228 s
% 65.27/10.53 % (17669)Instructions burned: 833 (million)
% 65.27/10.53 % (17669)------------------------------
% 65.27/10.53 % (17669)------------------------------
% 65.27/10.54 % (17665)Instruction limit reached!
% 65.27/10.54 % (17665)------------------------------
% 65.27/10.54 % (17665)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.27/10.54 % (17665)Termination reason: Unknown
% 65.27/10.54 % (17665)Termination phase: Saturation
% 65.27/10.54
% 65.27/10.54 % (17665)Memory used [KB]: 7547
% 65.27/10.54 % (17665)Time elapsed: 0.581 s
% 65.27/10.54 % (17665)Instructions burned: 1871 (million)
% 65.27/10.54 % (17665)------------------------------
% 65.27/10.54 % (17665)------------------------------
% 65.27/10.54 % (17672)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1516:si=on:rtra=on_0 on DTF2THF_17357 for (2907ds/1516Mi)
% 65.27/10.55 % (17673)lrs+1002_1:20_afp=1000:au=on:bsd=on:cnfonf=lazy_not_gen_be_off:sos=all:sp=const_max:i=2321:si=on:rtra=on_0 on DTF2THF_17357 for (2907ds/2321Mi)
% 65.75/10.67 % (17661)Instruction limit reached!
% 65.75/10.67 % (17661)------------------------------
% 65.75/10.67 % (17661)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.75/10.67 % (17661)Termination reason: Unknown
% 65.75/10.67 % (17661)Termination phase: Saturation
% 65.75/10.67
% 65.75/10.67 % (17661)Memory used [KB]: 14072
% 65.75/10.67 % (17661)Time elapsed: 1.152 s
% 65.75/10.67 % (17661)Instructions burned: 3710 (million)
% 65.75/10.67 % (17661)------------------------------
% 65.75/10.67 % (17661)------------------------------
% 65.75/10.68 % (17674)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on DTF2THF_17357 for (2906ds/2812Mi)
% 65.94/10.73 % (17670)Instruction limit reached!
% 65.94/10.73 % (17670)------------------------------
% 65.94/10.73 % (17670)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.94/10.73 % (17670)Termination reason: Unknown
% 65.94/10.73 % (17670)Termination phase: Saturation
% 65.94/10.73
% 65.94/10.73 % (17670)Memory used [KB]: 8059
% 65.94/10.73 % (17670)Time elapsed: 0.347 s
% 65.94/10.73 % (17670)Instructions burned: 1188 (million)
% 65.94/10.73 % (17670)------------------------------
% 65.94/10.73 % (17670)------------------------------
% 65.94/10.74 % (17675)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on DTF2THF_17357 for (2905ds/4604Mi)
% 66.50/10.95 % (17672)Instruction limit reached!
% 66.50/10.95 % (17672)------------------------------
% 66.50/10.95 % (17672)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 66.50/10.95 % (17672)Termination reason: Unknown
% 66.50/10.95 % (17672)Termination phase: Saturation
% 66.50/10.95
% 66.50/10.95 % (17672)Memory used [KB]: 6012
% 66.50/10.95 % (17672)Time elapsed: 0.413 s
% 66.50/10.95 % (17672)Instructions burned: 1516 (million)
% 66.50/10.95 % (17672)------------------------------
% 66.50/10.95 % (17672)------------------------------
% 66.50/10.96 % (17676)ott+1002_1:4_c=on:chr=on:cnfonf=lazy_not_be_gen:hud=10:nm=10:piset=all_but_not_eq:rp=on:spb=goal:uhcvi=on:i=2678:si=on:rtra=on_0 on DTF2THF_17357 for (2903ds/2678Mi)
% 69.55/11.06 % (17673)First to succeed.
% 69.55/11.06 % (17671)Instruction limit reached!
% 69.55/11.06 % (17671)------------------------------
% 69.55/11.06 % (17671)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 69.55/11.06 % (17671)Termination reason: Unknown
% 69.55/11.06 % (17671)Termination phase: Saturation
% 69.55/11.06
% 69.55/11.06 % (17671)Memory used [KB]: 6268
% 69.55/11.06 % (17671)Time elapsed: 0.663 s
% 69.55/11.06 % (17671)Instructions burned: 2869 (million)
% 69.55/11.06 % (17671)------------------------------
% 69.55/11.06 % (17671)------------------------------
% 69.55/11.07 % (17673)Refutation found. Thanks to Tanya!
% 69.55/11.07 % SZS status Theorem for DTF2THF_17357
% 69.55/11.07 % SZS output start Proof for DTF2THF_17357
% 69.55/11.07 thf(func_def_20, type, ph1: !>[X0: $tType]:(X0)).
% 69.55/11.07 thf(func_def_22, type, sK3: $i > $i > $o).
% 69.55/11.07 thf(f9476,plain,(
% 69.55/11.07 $false),
% 69.55/11.07 inference(avatar_sat_refutation,[status(thm)],[f230,f295,f446,f681,f691,f692,f701,f727,f738,f739,f748,f749,f750,f972,f988,f989,f993,f996,f1019,f1125,f1188,f1208,f1385,f1454,f1466,f1481,f1527,f1531,f1643,f1852,f1963,f1967,f1971,f2048,f2061,f2084,f2119,f2209,f2854,f2864,f2874,f2882,f2891,f2903,f2909,f3017,f3099,f3117,f3183,f3206,f3218,f3265,f3458,f3485,f3515,f3538,f3549,f3610,f3612,f3634,f3779,f3891,f4059,f4070,f4076,f4098,f4111,f4132,f4465,f4535,f4547,f4580,f4590,f4613,f4620,f4636,f4644,f4677,f4686,f5011,f5015,f5086,f5676,f5738,f5748,f5758,f5762,f5977,f5979,f6011,f6196,f6211,f6215,f6221,f6241,f6245,f6292,f6295,f6304,f6320,f6326,f6347,f6389,f6393,f6838,f7101,f7113,f7117,f7121,f7246,f7304,f7341,f7405,f7408,f7420,f7459,f7466,f7474,f7668,f7699,f7706,f7720,f7753,f7778,f7782,f7808,f7946,f7954,f8153,f8169,f8173,f8385,f8396,f9469])).
% 69.55/11.07 thf(f9469,plain,(
% 69.55/11.07 ~spl0_50 | ~spl0_56 | ~spl0_116),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f9468])).
% 69.55/11.07 thf(f9468,plain,(
% 69.55/11.07 $false | (~spl0_50 | ~spl0_56 | ~spl0_116)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f9467])).
% 69.55/11.07 thf(f9467,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_50 | ~spl0_56 | ~spl0_116)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f9466])).
% 69.55/11.07 thf(f9466,plain,(
% 69.55/11.07 ((~ $false) = $false) | (~spl0_50 | ~spl0_56 | ~spl0_116)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f9465,f688])).
% 69.55/11.07 thf(f688,plain,(
% 69.55/11.07 ($false = (sK3 @ sK6 @ sK5)) | ~spl0_56),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f686])).
% 69.55/11.07 thf(f686,definition,(
% 69.55/11.07 spl0_56 <=> ($false = (sK3 @ sK6 @ sK5))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_56])],[avatar_definition])).
% 69.55/11.07 thf(f9465,plain,(
% 69.55/11.07 ((~ (sK3 @ sK6 @ sK5)) = $false) | (~spl0_50 | ~spl0_116)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f9464,f286])).
% 69.55/11.07 thf(f286,plain,(
% 69.55/11.07 (sK8 != sK5)),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f281])).
% 69.55/11.07 thf(f281,plain,(
% 69.55/11.07 ((sK8 = sK5) = $false)),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f52])).
% 69.55/11.07 thf(f52,plain,(
% 69.55/11.07 ((~ (sK8 = sK5)) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f51])).
% 69.55/11.07 thf(f51,plain,(
% 69.55/11.07 (((~ (sK7 = sK4)) & (~ (sK8 = sK5))) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f49])).
% 69.55/11.07 thf(f49,plain,(
% 69.55/11.07 ((((~ (sK7 = sK4)) & (~ (sK8 = sK5))) & (~ (sK7 = sK6))) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f47])).
% 69.55/11.07 thf(f47,plain,(
% 69.55/11.07 (((((~ (sK7 = sK4)) & (~ (sK8 = sK5))) & (~ (sK7 = sK6))) & (~ (sK7 = sK5))) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f45])).
% 69.55/11.07 thf(f45,plain,(
% 69.55/11.07 ((((((~ (sK7 = sK4)) & (~ (sK8 = sK5))) & (~ (sK7 = sK6))) & (~ (sK7 = sK5))) & (~ (sK6 = sK5))) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f43])).
% 69.55/11.07 thf(f43,plain,(
% 69.55/11.07 (((((((~ (sK7 = sK4)) & (~ (sK8 = sK5))) & (~ (sK7 = sK6))) & (~ (sK7 = sK5))) & (~ (sK6 = sK5))) & (~ (sK8 = sK4))) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f41])).
% 69.55/11.07 thf(f41,plain,(
% 69.55/11.07 ((((((((~ (sK7 = sK4)) & (~ (sK8 = sK5))) & (~ (sK7 = sK6))) & (~ (sK7 = sK5))) & (~ (sK6 = sK5))) & (~ (sK8 = sK4))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y1 @ Y0) => (sK3 @ Y0 @ Y1))))))) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f39])).
% 69.55/11.07 thf(f39,plain,(
% 69.55/11.07 (((((((((~ (sK7 = sK4)) & (~ (sK8 = sK5))) & (~ (sK7 = sK6))) & (~ (sK7 = sK5))) & (~ (sK6 = sK5))) & (~ (sK8 = sK4))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y1 @ Y0) => (sK3 @ Y0 @ Y1))))))) & (~ (sK4 = sK2))) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f37])).
% 69.55/11.07 thf(f37,plain,(
% 69.55/11.07 ((((((((((~ (sK7 = sK4)) & (~ (sK8 = sK5))) & (~ (sK7 = sK6))) & (~ (sK7 = sK5))) & (~ (sK6 = sK5))) & (~ (sK8 = sK4))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y1 @ Y0) => (sK3 @ Y0 @ Y1))))))) & (~ (sK4 = sK2))) & (~ (sK8 = sK6))) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f35])).
% 69.55/11.07 thf(f35,plain,(
% 69.55/11.07 (((((((((((~ (sK7 = sK4)) & (~ (sK8 = sK5))) & (~ (sK7 = sK6))) & (~ (sK7 = sK5))) & (~ (sK6 = sK5))) & (~ (sK8 = sK4))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y1 @ Y0) => (sK3 @ Y0 @ Y1))))))) & (~ (sK4 = sK2))) & (~ (sK8 = sK6))) & (~ (sK6 = sK2))) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f33])).
% 69.55/11.07 thf(f33,plain,(
% 69.55/11.07 ((((((((((((~ (sK7 = sK4)) & (~ (sK8 = sK5))) & (~ (sK7 = sK6))) & (~ (sK7 = sK5))) & (~ (sK6 = sK5))) & (~ (sK8 = sK4))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y1 @ Y0) => (sK3 @ Y0 @ Y1))))))) & (~ (sK4 = sK2))) & (~ (sK8 = sK6))) & (~ (sK6 = sK2))) & (~ (sK8 = sK7))) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f31])).
% 69.55/11.07 thf(f31,plain,(
% 69.55/11.07 (((((((((((((~ (sK7 = sK4)) & (~ (sK8 = sK5))) & (~ (sK7 = sK6))) & (~ (sK7 = sK5))) & (~ (sK6 = sK5))) & (~ (sK8 = sK4))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y1 @ Y0) => (sK3 @ Y0 @ Y1))))))) & (~ (sK4 = sK2))) & (~ (sK8 = sK6))) & (~ (sK6 = sK2))) & (~ (sK8 = sK7))) & (~ (sK8 = sK2))) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f29])).
% 69.55/11.07 thf(f29,plain,(
% 69.55/11.07 ((((((((((((((~ (sK7 = sK4)) & (~ (sK8 = sK5))) & (~ (sK7 = sK6))) & (~ (sK7 = sK5))) & (~ (sK6 = sK5))) & (~ (sK8 = sK4))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y1 @ Y0) => (sK3 @ Y0 @ Y1))))))) & (~ (sK4 = sK2))) & (~ (sK8 = sK6))) & (~ (sK6 = sK2))) & (~ (sK8 = sK7))) & (~ (sK8 = sK2))) & (~ (sK5 = sK4))) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f27])).
% 69.55/11.07 thf(f27,plain,(
% 69.55/11.07 (((((((((((((((~ (sK7 = sK4)) & (~ (sK8 = sK5))) & (~ (sK7 = sK6))) & (~ (sK7 = sK5))) & (~ (sK6 = sK5))) & (~ (sK8 = sK4))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y1 @ Y0) => (sK3 @ Y0 @ Y1))))))) & (~ (sK4 = sK2))) & (~ (sK8 = sK6))) & (~ (sK6 = sK2))) & (~ (sK8 = sK7))) & (~ (sK8 = sK2))) & (~ (sK5 = sK4))) & (~ (sK7 = sK2))) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f25])).
% 69.55/11.07 thf(f25,plain,(
% 69.55/11.07 ((((((((((((((((~ (sK7 = sK4)) & (~ (sK8 = sK5))) & (~ (sK7 = sK6))) & (~ (sK7 = sK5))) & (~ (sK6 = sK5))) & (~ (sK8 = sK4))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y1 @ Y0) => (sK3 @ Y0 @ Y1))))))) & (~ (sK4 = sK2))) & (~ (sK8 = sK6))) & (~ (sK6 = sK2))) & (~ (sK8 = sK7))) & (~ (sK8 = sK2))) & (~ (sK5 = sK4))) & (~ (sK7 = sK2))) & (~ (sK5 = sK2))) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f23])).
% 69.55/11.07 thf(f23,plain,(
% 69.55/11.07 (((((((((((((((((~ (sK7 = sK4)) & (~ (sK8 = sK5))) & (~ (sK7 = sK6))) & (~ (sK7 = sK5))) & (~ (sK6 = sK5))) & (~ (sK8 = sK4))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y1 @ Y0) => (sK3 @ Y0 @ Y1))))))) & (~ (sK4 = sK2))) & (~ (sK8 = sK6))) & (~ (sK6 = sK2))) & (~ (sK8 = sK7))) & (~ (sK8 = sK2))) & (~ (sK5 = sK4))) & (~ (sK7 = sK2))) & (~ (sK5 = sK2))) & (~ (sK6 = sK4))) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f21])).
% 69.55/11.07 thf(f21,plain,(
% 69.55/11.07 ((((((((((((((((((~ (sK7 = sK4)) & (~ (sK8 = sK5))) & (~ (sK7 = sK6))) & (~ (sK7 = sK5))) & (~ (sK6 = sK5))) & (~ (sK8 = sK4))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y1 @ Y0) => (sK3 @ Y0 @ Y1))))))) & (~ (sK4 = sK2))) & (~ (sK8 = sK6))) & (~ (sK6 = sK2))) & (~ (sK8 = sK7))) & (~ (sK8 = sK2))) & (~ (sK5 = sK4))) & (~ (sK7 = sK2))) & (~ (sK5 = sK2))) & (~ (sK6 = sK4))) => (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (((((((~ (sK3 @ Y1 @ Y2)) & (~ (sK3 @ Y1 @ Y0))) & (~ (sK3 @ Y0 @ Y2))) | (((sK3 @ Y1 @ Y0) & (sK3 @ Y1 @ Y2)) & (sK3 @ Y0 @ Y2))) & (~ (Y2 = Y1))) & (~ (Y2 = Y0))) & (~ (Y1 = Y0)))))))))) = $false)),
% 69.55/11.07 inference(beta_eta_normalization,[status(thm)],[f20])).
% 69.55/11.07 thf(f20,plain,(
% 69.55/11.07 (((^[Y0 : $i]: (((((((((((((((((~ (sK7 = sK4)) & (~ (Y0 = sK5))) & (~ (sK7 = sK6))) & (~ (sK7 = sK5))) & (~ (sK6 = sK5))) & (~ (Y0 = sK4))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y2 @ Y1) => (sK3 @ Y1 @ Y2))))))) & (~ (sK4 = sK2))) & (~ (Y0 = sK6))) & (~ (sK6 = sK2))) & (~ (Y0 = sK7))) & (~ (Y0 = sK2))) & (~ (sK5 = sK4))) & (~ (sK7 = sK2))) & (~ (sK5 = sK2))) & (~ (sK6 = sK4))) => (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (((((((~ (sK3 @ Y2 @ Y3)) & (~ (sK3 @ Y2 @ Y1))) & (~ (sK3 @ Y1 @ Y3))) | (((sK3 @ Y2 @ Y1) & (sK3 @ Y2 @ Y3)) & (sK3 @ Y1 @ Y3))) & (~ (Y3 = Y2))) & (~ (Y3 = Y1))) & (~ (Y2 = Y1))))))))))) @ sK8) = $false)),
% 69.55/11.07 inference(sigma_clausification,[status(thm)],[f19])).
% 69.55/11.07 thf(f19,plain,(
% 69.55/11.07 ((!! @ $i @ (^[Y0 : $i]: (((((((((((((((((~ (sK7 = sK4)) & (~ (Y0 = sK5))) & (~ (sK7 = sK6))) & (~ (sK7 = sK5))) & (~ (sK6 = sK5))) & (~ (Y0 = sK4))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y2 @ Y1) => (sK3 @ Y1 @ Y2))))))) & (~ (sK4 = sK2))) & (~ (Y0 = sK6))) & (~ (sK6 = sK2))) & (~ (Y0 = sK7))) & (~ (Y0 = sK2))) & (~ (sK5 = sK4))) & (~ (sK7 = sK2))) & (~ (sK5 = sK2))) & (~ (sK6 = sK4))) => (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (((((((~ (sK3 @ Y2 @ Y3)) & (~ (sK3 @ Y2 @ Y1))) & (~ (sK3 @ Y1 @ Y3))) | (((sK3 @ Y2 @ Y1) & (sK3 @ Y2 @ Y3)) & (sK3 @ Y1 @ Y3))) & (~ (Y3 = Y2))) & (~ (Y3 = Y1))) & (~ (Y2 = Y1)))))))))))) = $false)),
% 69.55/11.07 inference(beta_eta_normalization,[status(thm)],[f18])).
% 69.55/11.07 thf(f18,plain,(
% 69.55/11.07 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((((((((((((((((~ (Y0 = sK4)) & (~ (Y1 = sK5))) & (~ (Y0 = sK6))) & (~ (Y0 = sK5))) & (~ (sK6 = sK5))) & (~ (Y1 = sK4))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK3 @ Y3 @ Y2) => (sK3 @ Y2 @ Y3))))))) & (~ (sK4 = sK2))) & (~ (Y1 = sK6))) & (~ (sK6 = sK2))) & (~ (Y1 = Y0))) & (~ (Y1 = sK2))) & (~ (sK5 = sK4))) & (~ (Y0 = sK2))) & (~ (sK5 = sK2))) & (~ (sK6 = sK4))) => (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: (((((((~ (sK3 @ Y3 @ Y4)) & (~ (sK3 @ Y3 @ Y2))) & (~ (sK3 @ Y2 @ Y4))) | (((sK3 @ Y3 @ Y2) & (sK3 @ Y3 @ Y4)) & (sK3 @ Y2 @ Y4))) & (~ (Y4 = Y3))) & (~ (Y4 = Y2))) & (~ (Y3 = Y2))))))))))))) @ sK7) = $false)),
% 69.55/11.07 inference(sigma_clausification,[status(thm)],[f17])).
% 69.55/11.07 thf(f17,plain,(
% 69.55/11.07 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((((((((((((((((~ (Y0 = sK4)) & (~ (Y1 = sK5))) & (~ (Y0 = sK6))) & (~ (Y0 = sK5))) & (~ (sK6 = sK5))) & (~ (Y1 = sK4))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK3 @ Y3 @ Y2) => (sK3 @ Y2 @ Y3))))))) & (~ (sK4 = sK2))) & (~ (Y1 = sK6))) & (~ (sK6 = sK2))) & (~ (Y1 = Y0))) & (~ (Y1 = sK2))) & (~ (sK5 = sK4))) & (~ (Y0 = sK2))) & (~ (sK5 = sK2))) & (~ (sK6 = sK4))) => (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: (((((((~ (sK3 @ Y3 @ Y4)) & (~ (sK3 @ Y3 @ Y2))) & (~ (sK3 @ Y2 @ Y4))) | (((sK3 @ Y3 @ Y2) & (sK3 @ Y3 @ Y4)) & (sK3 @ Y2 @ Y4))) & (~ (Y4 = Y3))) & (~ (Y4 = Y2))) & (~ (Y3 = Y2)))))))))))))) = $false)),
% 69.55/11.07 inference(beta_eta_normalization,[status(thm)],[f16])).
% 69.55/11.07 thf(f16,plain,(
% 69.55/11.07 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((((((((((((((((~ (Y1 = sK4)) & (~ (Y2 = sK5))) & (~ (Y1 = Y0))) & (~ (Y1 = sK5))) & (~ (Y0 = sK5))) & (~ (Y2 = sK4))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK3 @ Y4 @ Y3) => (sK3 @ Y3 @ Y4))))))) & (~ (sK4 = sK2))) & (~ (Y2 = Y0))) & (~ (Y0 = sK2))) & (~ (Y2 = Y1))) & (~ (Y2 = sK2))) & (~ (sK5 = sK4))) & (~ (Y1 = sK2))) & (~ (sK5 = sK2))) & (~ (Y0 = sK4))) => (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: (?? @ $i @ (^[Y5 : $i]: (((((((~ (sK3 @ Y4 @ Y5)) & (~ (sK3 @ Y4 @ Y3))) & (~ (sK3 @ Y3 @ Y5))) | (((sK3 @ Y4 @ Y3) & (sK3 @ Y4 @ Y5)) & (sK3 @ Y3 @ Y5))) & (~ (Y5 = Y4))) & (~ (Y5 = Y3))) & (~ (Y4 = Y3))))))))))))))) @ sK6) = $false)),
% 69.55/11.07 inference(sigma_clausification,[status(thm)],[f15])).
% 69.55/11.07 thf(f15,plain,(
% 69.55/11.07 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((((((((((((((((~ (Y1 = sK4)) & (~ (Y2 = sK5))) & (~ (Y1 = Y0))) & (~ (Y1 = sK5))) & (~ (Y0 = sK5))) & (~ (Y2 = sK4))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK3 @ Y4 @ Y3) => (sK3 @ Y3 @ Y4))))))) & (~ (sK4 = sK2))) & (~ (Y2 = Y0))) & (~ (Y0 = sK2))) & (~ (Y2 = Y1))) & (~ (Y2 = sK2))) & (~ (sK5 = sK4))) & (~ (Y1 = sK2))) & (~ (sK5 = sK2))) & (~ (Y0 = sK4))) => (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: (?? @ $i @ (^[Y5 : $i]: (((((((~ (sK3 @ Y4 @ Y5)) & (~ (sK3 @ Y4 @ Y3))) & (~ (sK3 @ Y3 @ Y5))) | (((sK3 @ Y4 @ Y3) & (sK3 @ Y4 @ Y5)) & (sK3 @ Y3 @ Y5))) & (~ (Y5 = Y4))) & (~ (Y5 = Y3))) & (~ (Y4 = Y3)))))))))))))))) = $false)),
% 69.55/11.07 inference(beta_eta_normalization,[status(thm)],[f14])).
% 69.55/11.07 thf(f14,plain,(
% 69.55/11.07 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((((((((((((((((~ (Y2 = sK4)) & (~ (Y3 = Y0))) & (~ (Y2 = Y1))) & (~ (Y2 = Y0))) & (~ (Y1 = Y0))) & (~ (Y3 = sK4))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((sK3 @ Y5 @ Y4) => (sK3 @ Y4 @ Y5))))))) & (~ (sK4 = sK2))) & (~ (Y3 = Y1))) & (~ (Y1 = sK2))) & (~ (Y3 = Y2))) & (~ (Y3 = sK2))) & (~ (Y0 = sK4))) & (~ (Y2 = sK2))) & (~ (Y0 = sK2))) & (~ (Y1 = sK4))) => (?? @ $i @ (^[Y4 : $i]: (?? @ $i @ (^[Y5 : $i]: (?? @ $i @ (^[Y6 : $i]: (((((((~ (sK3 @ Y5 @ Y6)) & (~ (sK3 @ Y5 @ Y4))) & (~ (sK3 @ Y4 @ Y6))) | (((sK3 @ Y5 @ Y4) & (sK3 @ Y5 @ Y6)) & (sK3 @ Y4 @ Y6))) & (~ (Y6 = Y5))) & (~ (Y6 = Y4))) & (~ (Y5 = Y4))))))))))))))))) @ sK5))),
% 69.55/11.07 inference(sigma_clausification,[status(thm)],[f13])).
% 69.55/11.07 thf(f13,plain,(
% 69.55/11.07 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((((((((((((((((~ (Y2 = sK4)) & (~ (Y3 = Y0))) & (~ (Y2 = Y1))) & (~ (Y2 = Y0))) & (~ (Y1 = Y0))) & (~ (Y3 = sK4))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((sK3 @ Y5 @ Y4) => (sK3 @ Y4 @ Y5))))))) & (~ (sK4 = sK2))) & (~ (Y3 = Y1))) & (~ (Y1 = sK2))) & (~ (Y3 = Y2))) & (~ (Y3 = sK2))) & (~ (Y0 = sK4))) & (~ (Y2 = sK2))) & (~ (Y0 = sK2))) & (~ (Y1 = sK4))) => (?? @ $i @ (^[Y4 : $i]: (?? @ $i @ (^[Y5 : $i]: (?? @ $i @ (^[Y6 : $i]: (((((((~ (sK3 @ Y5 @ Y6)) & (~ (sK3 @ Y5 @ Y4))) & (~ (sK3 @ Y4 @ Y6))) | (((sK3 @ Y5 @ Y4) & (sK3 @ Y5 @ Y6)) & (sK3 @ Y4 @ Y6))) & (~ (Y6 = Y5))) & (~ (Y6 = Y4))) & (~ (Y5 = Y4)))))))))))))))))) = $false)),
% 69.55/11.07 inference(beta_eta_normalization,[status(thm)],[f12])).
% 69.55/11.07 thf(f12,plain,(
% 69.55/11.07 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((((((((((((((((~ (Y3 = Y0)) & (~ (Y4 = Y1))) & (~ (Y3 = Y2))) & (~ (Y3 = Y1))) & (~ (Y2 = Y1))) & (~ (Y4 = Y0))) & (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((sK3 @ Y6 @ Y5) => (sK3 @ Y5 @ Y6))))))) & (~ (Y0 = sK2))) & (~ (Y4 = Y2))) & (~ (Y2 = sK2))) & (~ (Y4 = Y3))) & (~ (Y4 = sK2))) & (~ (Y1 = Y0))) & (~ (Y3 = sK2))) & (~ (Y1 = sK2))) & (~ (Y2 = Y0))) => (?? @ $i @ (^[Y5 : $i]: (?? @ $i @ (^[Y6 : $i]: (?? @ $i @ (^[Y7 : $i]: (((((((~ (sK3 @ Y6 @ Y7)) & (~ (sK3 @ Y6 @ Y5))) & (~ (sK3 @ Y5 @ Y7))) | (((sK3 @ Y6 @ Y5) & (sK3 @ Y6 @ Y7)) & (sK3 @ Y5 @ Y7))) & (~ (Y7 = Y6))) & (~ (Y7 = Y5))) & (~ (Y6 = Y5))))))))))))))))))) @ sK4) = $false)),
% 69.55/11.07 inference(sigma_clausification,[status(thm)],[f11])).
% 69.55/11.07 thf(f11,plain,(
% 69.55/11.07 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((((((((((((((((~ (Y3 = Y0)) & (~ (Y4 = Y1))) & (~ (Y3 = Y2))) & (~ (Y3 = Y1))) & (~ (Y2 = Y1))) & (~ (Y4 = Y0))) & (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((sK3 @ Y6 @ Y5) => (sK3 @ Y5 @ Y6))))))) & (~ (Y0 = sK2))) & (~ (Y4 = Y2))) & (~ (Y2 = sK2))) & (~ (Y4 = Y3))) & (~ (Y4 = sK2))) & (~ (Y1 = Y0))) & (~ (Y3 = sK2))) & (~ (Y1 = sK2))) & (~ (Y2 = Y0))) => (?? @ $i @ (^[Y5 : $i]: (?? @ $i @ (^[Y6 : $i]: (?? @ $i @ (^[Y7 : $i]: (((((((~ (sK3 @ Y6 @ Y7)) & (~ (sK3 @ Y6 @ Y5))) & (~ (sK3 @ Y5 @ Y7))) | (((sK3 @ Y6 @ Y5) & (sK3 @ Y6 @ Y7)) & (sK3 @ Y5 @ Y7))) & (~ (Y7 = Y6))) & (~ (Y7 = Y5))) & (~ (Y6 = Y5)))))))))))))))))))))),
% 69.55/11.07 inference(beta_eta_normalization,[status(thm)],[f10])).
% 69.55/11.07 thf(f10,plain,(
% 69.55/11.07 ($false = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((((((((((((((((~ (Y4 = Y1)) & (~ (Y5 = Y2))) & (~ (Y4 = Y3))) & (~ (Y4 = Y2))) & (~ (Y3 = Y2))) & (~ (Y5 = Y1))) & (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y0 @ Y7 @ Y6) => (Y0 @ Y6 @ Y7))))))) & (~ (Y1 = sK2))) & (~ (Y5 = Y3))) & (~ (Y3 = sK2))) & (~ (Y5 = Y4))) & (~ (Y5 = sK2))) & (~ (Y2 = Y1))) & (~ (Y4 = sK2))) & (~ (Y2 = sK2))) & (~ (Y3 = Y1))) => (?? @ $i @ (^[Y6 : $i]: (?? @ $i @ (^[Y7 : $i]: (?? @ $i @ (^[Y8 : $i]: (((((((~ (Y0 @ Y7 @ Y8)) & (~ (Y0 @ Y7 @ Y6))) & (~ (Y0 @ Y6 @ Y8))) | (((Y0 @ Y7 @ Y6) & (Y0 @ Y7 @ Y8)) & (Y0 @ Y6 @ Y8))) & (~ (Y8 = Y7))) & (~ (Y8 = Y6))) & (~ (Y7 = Y6))))))))))))))))))))) @ sK3))),
% 69.55/11.07 inference(sigma_clausification,[status(thm)],[f9])).
% 69.55/11.07 thf(f9,plain,(
% 69.55/11.07 ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((((((((((((((((~ (Y4 = Y1)) & (~ (Y5 = Y2))) & (~ (Y4 = Y3))) & (~ (Y4 = Y2))) & (~ (Y3 = Y2))) & (~ (Y5 = Y1))) & (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y0 @ Y7 @ Y6) => (Y0 @ Y6 @ Y7))))))) & (~ (Y1 = sK2))) & (~ (Y5 = Y3))) & (~ (Y3 = sK2))) & (~ (Y5 = Y4))) & (~ (Y5 = sK2))) & (~ (Y2 = Y1))) & (~ (Y4 = sK2))) & (~ (Y2 = sK2))) & (~ (Y3 = Y1))) => (?? @ $i @ (^[Y6 : $i]: (?? @ $i @ (^[Y7 : $i]: (?? @ $i @ (^[Y8 : $i]: (((((((~ (Y0 @ Y7 @ Y8)) & (~ (Y0 @ Y7 @ Y6))) & (~ (Y0 @ Y6 @ Y8))) | (((Y0 @ Y7 @ Y6) & (Y0 @ Y7 @ Y8)) & (Y0 @ Y6 @ Y8))) & (~ (Y8 = Y7))) & (~ (Y8 = Y6))) & (~ (Y7 = Y6)))))))))))))))))))))) = $false)),
% 69.55/11.07 inference(beta_eta_normalization,[status(thm)],[f8])).
% 69.55/11.07 thf(f8,plain,(
% 69.55/11.07 (((^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((((((((((((((((~ (Y5 = Y2)) & (~ (Y6 = Y3))) & (~ (Y5 = Y4))) & (~ (Y5 = Y3))) & (~ (Y4 = Y3))) & (~ (Y6 = Y2))) & (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y1 @ Y8 @ Y7) => (Y1 @ Y7 @ Y8))))))) & (~ (Y2 = Y0))) & (~ (Y6 = Y4))) & (~ (Y4 = Y0))) & (~ (Y6 = Y5))) & (~ (Y6 = Y0))) & (~ (Y3 = Y2))) & (~ (Y5 = Y0))) & (~ (Y3 = Y0))) & (~ (Y4 = Y2))) => (?? @ $i @ (^[Y7 : $i]: (?? @ $i @ (^[Y8 : $i]: (?? @ $i @ (^[Y9 : $i]: (((((((~ (Y1 @ Y8 @ Y9)) & (~ (Y1 @ Y8 @ Y7))) & (~ (Y1 @ Y7 @ Y9))) | (((Y1 @ Y8 @ Y7) & (Y1 @ Y8 @ Y9)) & (Y1 @ Y7 @ Y9))) & (~ (Y9 = Y8))) & (~ (Y9 = Y7))) & (~ (Y8 = Y7))))))))))))))))))))))) @ sK2) = $false)),
% 69.55/11.07 inference(sigma_clausification,[status(thm)],[f7])).
% 69.55/11.07 thf(f7,plain,(
% 69.55/11.07 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((((((((((((((((~ (Y5 = Y2)) & (~ (Y6 = Y3))) & (~ (Y5 = Y4))) & (~ (Y5 = Y3))) & (~ (Y4 = Y3))) & (~ (Y6 = Y2))) & (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y1 @ Y8 @ Y7) => (Y1 @ Y7 @ Y8))))))) & (~ (Y2 = Y0))) & (~ (Y6 = Y4))) & (~ (Y4 = Y0))) & (~ (Y6 = Y5))) & (~ (Y6 = Y0))) & (~ (Y3 = Y2))) & (~ (Y5 = Y0))) & (~ (Y3 = Y0))) & (~ (Y4 = Y2))) => (?? @ $i @ (^[Y7 : $i]: (?? @ $i @ (^[Y8 : $i]: (?? @ $i @ (^[Y9 : $i]: (((((((~ (Y1 @ Y8 @ Y9)) & (~ (Y1 @ Y8 @ Y7))) & (~ (Y1 @ Y7 @ Y9))) | (((Y1 @ Y8 @ Y7) & (Y1 @ Y8 @ Y9)) & (Y1 @ Y7 @ Y9))) & (~ (Y9 = Y8))) & (~ (Y9 = Y7))) & (~ (Y8 = Y7)))))))))))))))))))))))) = $false)),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f6])).
% 69.55/11.07 thf(f6,plain,(
% 69.55/11.07 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((((((((((((((((~ (Y5 = Y2)) & (~ (Y6 = Y3))) & (~ (Y5 = Y4))) & (~ (Y5 = Y3))) & (~ (Y4 = Y3))) & (~ (Y6 = Y2))) & (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y1 @ Y8 @ Y7) => (Y1 @ Y7 @ Y8))))))) & (~ (Y2 = Y0))) & (~ (Y6 = Y4))) & (~ (Y4 = Y0))) & (~ (Y6 = Y5))) & (~ (Y6 = Y0))) & (~ (Y3 = Y2))) & (~ (Y5 = Y0))) & (~ (Y3 = Y0))) & (~ (Y4 = Y2))) => (?? @ $i @ (^[Y7 : $i]: (?? @ $i @ (^[Y8 : $i]: (?? @ $i @ (^[Y9 : $i]: (((((((~ (Y1 @ Y8 @ Y9)) & (~ (Y1 @ Y8 @ Y7))) & (~ (Y1 @ Y7 @ Y9))) | (((Y1 @ Y8 @ Y7) & (Y1 @ Y8 @ Y9)) & (Y1 @ Y7 @ Y9))) & (~ (Y9 = Y8))) & (~ (Y9 = Y7))) & (~ (Y8 = Y7))))))))))))))))))))))))) = $true)),
% 69.55/11.07 inference(cnf_transformation,[status(thm)],[f5])).
% 69.55/11.07 thf(f5,plain,(
% 69.55/11.07 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((((((((((((((((~ (Y5 = Y2)) & (~ (Y6 = Y3))) & (~ (Y5 = Y4))) & (~ (Y5 = Y3))) & (~ (Y4 = Y3))) & (~ (Y6 = Y2))) & (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y1 @ Y8 @ Y7) => (Y1 @ Y7 @ Y8))))))) & (~ (Y2 = Y0))) & (~ (Y6 = Y4))) & (~ (Y4 = Y0))) & (~ (Y6 = Y5))) & (~ (Y6 = Y0))) & (~ (Y3 = Y2))) & (~ (Y5 = Y0))) & (~ (Y3 = Y0))) & (~ (Y4 = Y2))) => (?? @ $i @ (^[Y7 : $i]: (?? @ $i @ (^[Y8 : $i]: (?? @ $i @ (^[Y9 : $i]: (((((((~ (Y1 @ Y8 @ Y9)) & (~ (Y1 @ Y8 @ Y7))) & (~ (Y1 @ Y7 @ Y9))) | (((Y1 @ Y8 @ Y7) & (Y1 @ Y8 @ Y9)) & (Y1 @ Y7 @ Y9))) & (~ (Y9 = Y8))) & (~ (Y9 = Y7))) & (~ (Y8 = Y7))))))))))))))))))))))))) = $true)),
% 69.55/11.07 inference(fool_elimination,[status(thm)],[f4])).
% 69.55/11.07 thf(f4,plain,(
% 69.55/11.07 ~! [X0 : $i,X1 : $i,X2 : $i,X3 : $i,X4 : $i,X5 : $i > $i > $o,X6 : $i] : (((X2 != X4) & (X3 != X6) & (X1 != X6) & (X3 != X4) & (X0 != X6) & (X0 != X1) & (X2 != X6) & (X0 != X2) & (X4 != X6) & ! [X7 : $i,X8 : $i] : ((X5 @ X7 @ X8) => (X5 @ X8 @ X7)) & (X0 != X4) & (X2 != X3) & (X1 != X3) & (X1 != X2) & (X0 != X3) & (X1 != X4)) => ? [X9 : $i,X10 : $i,X11 : $i] : ((X10 != X11) & (X9 != X11) & (X9 != X10) & (((X5 @ X11 @ X9) & (X5 @ X10 @ X9) & (X5 @ X10 @ X11)) | (~(X5 @ X11 @ X9) & ~(X5 @ X10 @ X11) & ~(X5 @ X10 @ X9)))))),
% 69.55/11.07 inference(rectify,[status(thm)],[f2])).
% 69.55/11.07 thf(f2,negated_conjecture,(
% 69.55/11.07 ~! [X2 : $i,X1 : $i,X3 : $i,X4 : $i,X6 : $i,X0 : $i > $i > $o,X5 : $i] : (((X3 != X6) & (X4 != X5) & (X1 != X5) & (X4 != X6) & (X2 != X5) & (X1 != X2) & (X3 != X5) & (X2 != X3) & (X5 != X6) & ! [X7 : $i,X8 : $i] : ((X0 @ X7 @ X8) => (X0 @ X8 @ X7)) & (X2 != X6) & (X3 != X4) & (X1 != X4) & (X1 != X3) & (X2 != X4) & (X1 != X6)) => ? [X11 : $i,X9 : $i,X10 : $i] : ((X9 != X10) & (X10 != X11) & (X9 != X11) & (((X0 @ X10 @ X11) & (X0 @ X9 @ X11) & (X0 @ X9 @ X10)) | (~(X0 @ X10 @ X11) & ~(X0 @ X9 @ X10) & ~(X0 @ X9 @ X11)))))),
% 69.55/11.07 inference(negated_conjecture,[status(cth)],[f1])).
% 69.55/11.07 thf(f1,conjecture,(
% 69.55/11.07 ! [X2 : $i,X1 : $i,X3 : $i,X4 : $i,X6 : $i,X0 : $i > $i > $o,X5 : $i] : (((X3 != X6) & (X4 != X5) & (X1 != X5) & (X4 != X6) & (X2 != X5) & (X1 != X2) & (X3 != X5) & (X2 != X3) & (X5 != X6) & ! [X7 : $i,X8 : $i] : ((X0 @ X7 @ X8) => (X0 @ X8 @ X7)) & (X2 != X6) & (X3 != X4) & (X1 != X4) & (X1 != X3) & (X2 != X4) & (X1 != X6)) => ? [X11 : $i,X9 : $i,X10 : $i] : ((X9 != X10) & (X10 != X11) & (X9 != X11) & (((X0 @ X10 @ X11) & (X0 @ X9 @ X11) & (X0 @ X9 @ X10)) | (~(X0 @ X10 @ X11) & ~(X0 @ X9 @ X10) & ~(X0 @ X9 @ X11)))))),
% 69.55/11.07 file('/export/starexec/sandbox2/tmp/tmp.qkrIe4HSkE/DTF2THF_17357.p',cSIX_THEOREM_pme)).
% 69.55/11.07 thf(f9464,plain,(
% 69.55/11.07 ((~ (sK3 @ sK6 @ sK5)) = $false) | (sK8 = sK5) | (~spl0_50 | ~spl0_116)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f9452,f95])).
% 69.55/11.07 thf(f95,plain,(
% 69.55/11.07 (sK5 != sK6)),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f94])).
% 69.55/11.07 thf(f94,plain,(
% 69.55/11.07 ((sK6 = sK5) = $false)),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f46])).
% 69.55/11.07 thf(f46,plain,(
% 69.55/11.07 ((~ (sK6 = sK5)) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f45])).
% 69.55/11.07 thf(f9452,plain,(
% 69.55/11.07 (sK5 = sK6) | (sK8 = sK5) | ((~ (sK3 @ sK6 @ sK5)) = $false) | (~spl0_50 | ~spl0_116)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f9451])).
% 69.55/11.07 thf(f9451,plain,(
% 69.55/11.07 (sK8 = sK5) | ((~ (sK3 @ sK6 @ sK5)) = $false) | (sK5 = sK6) | ($false = $true) | (~spl0_50 | ~spl0_116)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f9428])).
% 69.55/11.07 thf(f9428,plain,(
% 69.55/11.07 ((~ $false) = $false) | (sK5 = sK6) | ((~ (sK3 @ sK6 @ sK5)) = $false) | (sK8 = sK5) | (~spl0_50 | ~spl0_116)),
% 69.55/11.07 inference(superposition,[status(thm)],[f3068,f662])).
% 69.55/11.07 thf(f662,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK5) = $false) | ~spl0_50),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f660])).
% 69.55/11.07 thf(f660,definition,(
% 69.55/11.07 spl0_50 <=> ((sK3 @ sK8 @ sK5) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_50])],[avatar_definition])).
% 69.55/11.07 thf(f3068,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (($false = (~ (sK3 @ sK8 @ X0))) | (sK8 = X0) | (sK6 = X0) | ((~ (sK3 @ sK6 @ X0)) = $false)) ) | ~spl0_116),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f3067])).
% 69.55/11.07 thf(f3067,definition,(
% 69.55/11.07 spl0_116 <=> ! [X0 : $i] : (((~ (sK3 @ sK6 @ X0)) = $false) | (sK8 = X0) | ($false = (~ (sK3 @ sK8 @ X0))) | (sK6 = X0))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_116])],[avatar_definition])).
% 69.55/11.07 thf(f8396,plain,(
% 69.55/11.07 spl0_58 | spl0_59 | ~spl0_71),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f8395,f983,f703,f697])).
% 69.55/11.07 thf(f697,definition,(
% 69.55/11.07 spl0_58 <=> ((sK3 @ sK7 @ sK6) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_58])],[avatar_definition])).
% 69.55/11.07 thf(f703,definition,(
% 69.55/11.07 spl0_59 <=> ($false = (sK3 @ sK7 @ sK4))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_59])],[avatar_definition])).
% 69.55/11.07 thf(f983,definition,(
% 69.55/11.07 spl0_71 <=> ! [X0 : $i] : ((sK6 = X0) | ((~ (X0 = sK4)) = $false) | ((sK3 @ X0 @ sK6) = $false) | ((sK3 @ X0 @ sK4) = $false))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_71])],[avatar_definition])).
% 69.55/11.07 thf(f8395,plain,(
% 69.55/11.07 ($false = (sK3 @ sK7 @ sK4)) | ((sK3 @ sK7 @ sK6) = $false) | ~spl0_71),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7896,f279])).
% 69.55/11.07 thf(f279,plain,(
% 69.55/11.07 (sK6 != sK7)),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f266])).
% 69.55/11.07 thf(f266,plain,(
% 69.55/11.07 ((sK7 = sK6) = $false)),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f50])).
% 69.55/11.07 thf(f50,plain,(
% 69.55/11.07 ((~ (sK7 = sK6)) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f49])).
% 69.55/11.07 thf(f7896,plain,(
% 69.55/11.07 (sK6 = sK7) | ($false = (sK3 @ sK7 @ sK4)) | ((sK3 @ sK7 @ sK6) = $false) | ~spl0_71),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7889])).
% 69.55/11.07 thf(f7889,plain,(
% 69.55/11.07 (sK6 = sK7) | ($false = $true) | ((sK3 @ sK7 @ sK6) = $false) | ($false = (sK3 @ sK7 @ sK4)) | ~spl0_71),
% 69.55/11.07 inference(superposition,[status(thm)],[f984,f53])).
% 69.55/11.07 thf(f53,plain,(
% 69.55/11.07 ($true = (~ (sK7 = sK4)))),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f51])).
% 69.55/11.07 thf(f984,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (X0 = sK4)) = $false) | ((sK3 @ X0 @ sK4) = $false) | ((sK3 @ X0 @ sK6) = $false) | (sK6 = X0)) ) | ~spl0_71),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f983])).
% 69.55/11.07 thf(f8385,plain,(
% 69.55/11.07 ~spl0_9 | ~spl0_28 | ~spl0_91),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f8384])).
% 69.55/11.07 thf(f8384,plain,(
% 69.55/11.07 $false | (~spl0_9 | ~spl0_28 | ~spl0_91)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f8383])).
% 69.55/11.07 thf(f8383,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_9 | ~spl0_28 | ~spl0_91)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f8382,f293])).
% 69.55/11.07 thf(f293,plain,(
% 69.55/11.07 ((sK3 @ sK5 @ sK8) = $false) | ~spl0_28),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f291])).
% 69.55/11.07 thf(f291,definition,(
% 69.55/11.07 spl0_28 <=> ((sK3 @ sK5 @ sK8) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_28])],[avatar_definition])).
% 69.55/11.07 thf(f8382,plain,(
% 69.55/11.07 ((sK3 @ sK5 @ sK8) = $true) | (~spl0_9 | ~spl0_91)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f8381,f93])).
% 69.55/11.07 thf(f93,plain,(
% 69.55/11.07 (sK8 != sK4)),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f92])).
% 69.55/11.07 thf(f92,plain,(
% 69.55/11.07 ((sK8 = sK4) = $false)),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f44])).
% 69.55/11.07 thf(f44,plain,(
% 69.55/11.07 ((~ (sK8 = sK4)) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f43])).
% 69.55/11.07 thf(f8381,plain,(
% 69.55/11.07 ((sK3 @ sK5 @ sK8) = $true) | (sK8 = sK4) | (~spl0_9 | ~spl0_91)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f8377,f286])).
% 69.55/11.07 thf(f8377,plain,(
% 69.55/11.07 (sK8 = sK5) | ((sK3 @ sK5 @ sK8) = $true) | (sK8 = sK4) | (~spl0_9 | ~spl0_91)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f8376])).
% 69.55/11.07 thf(f8376,plain,(
% 69.55/11.07 ((sK3 @ sK5 @ sK8) = $true) | (sK8 = sK5) | (sK8 = sK4) | ($false = $true) | (~spl0_9 | ~spl0_91)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f8363])).
% 69.55/11.07 thf(f8363,plain,(
% 69.55/11.07 (sK8 = sK4) | ((~ $false) = $false) | (sK8 = sK5) | ((sK3 @ sK5 @ sK8) = $true) | (~spl0_9 | ~spl0_91)),
% 69.55/11.07 inference(superposition,[status(thm)],[f8115,f187])).
% 69.55/11.07 thf(f187,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK8) = $false) | ~spl0_9),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f185])).
% 69.55/11.07 thf(f185,definition,(
% 69.55/11.07 spl0_9 <=> ((sK3 @ sK4 @ sK8) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])).
% 69.55/11.07 thf(f8115,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK3 @ sK4 @ X0)) = $false) | ((sK3 @ sK5 @ X0) = $true) | (sK5 = X0) | (sK4 = X0)) ) | ~spl0_91),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f1951])).
% 69.55/11.07 thf(f1951,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK3 @ sK5 @ X0)) = $false) | (sK5 = X0) | ((~ (sK3 @ sK4 @ X0)) = $false) | (sK4 = X0)) ) | ~spl0_91),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f1950])).
% 69.55/11.07 thf(f1950,definition,(
% 69.55/11.07 spl0_91 <=> ! [X0 : $i] : ((sK4 = X0) | ((~ (sK3 @ sK5 @ X0)) = $false) | ((~ (sK3 @ sK4 @ X0)) = $false) | (sK5 = X0))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_91])],[avatar_definition])).
% 69.55/11.07 thf(f8173,plain,(
% 69.55/11.07 spl0_21 | spl0_25 | ~spl0_64),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f8172])).
% 69.55/11.07 thf(f8172,plain,(
% 69.55/11.07 $false | (spl0_21 | spl0_25 | ~spl0_64)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f8171,f279])).
% 69.55/11.07 thf(f8171,plain,(
% 69.55/11.07 (sK6 = sK7) | (spl0_21 | spl0_25 | ~spl0_64)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f8170,f273])).
% 69.55/11.07 thf(f273,plain,(
% 69.55/11.07 ((sK3 @ sK6 @ sK7) != $false) | spl0_25),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f272])).
% 69.55/11.07 thf(f272,definition,(
% 69.55/11.07 spl0_25 <=> ((sK3 @ sK6 @ sK7) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_25])],[avatar_definition])).
% 69.55/11.07 thf(f8170,plain,(
% 69.55/11.07 ((sK3 @ sK6 @ sK7) = $false) | (sK6 = sK7) | (spl0_21 | ~spl0_64)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7982,f85])).
% 69.55/11.07 thf(f85,plain,(
% 69.55/11.07 (sK8 != sK7)),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f84])).
% 69.55/11.07 thf(f84,plain,(
% 69.55/11.07 ($false = (sK8 = sK7))),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f34])).
% 69.55/11.07 thf(f34,plain,(
% 69.55/11.07 ((~ (sK8 = sK7)) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f33])).
% 69.55/11.07 thf(f7982,plain,(
% 69.55/11.07 (sK8 = sK7) | (sK6 = sK7) | ((sK3 @ sK6 @ sK7) = $false) | (spl0_21 | ~spl0_64)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7972])).
% 69.55/11.07 thf(f7972,plain,(
% 69.55/11.07 (sK6 = sK7) | ($false = $true) | ((sK3 @ sK6 @ sK7) = $false) | (sK8 = sK7) | (spl0_21 | ~spl0_64)),
% 69.55/11.07 inference(superposition,[status(thm)],[f724,f7803])).
% 69.55/11.07 thf(f7803,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK7) = $true) | spl0_21),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7802])).
% 69.55/11.07 thf(f7802,plain,(
% 69.55/11.07 ($false != $false) | ((sK3 @ sK8 @ sK7) = $true) | spl0_21),
% 69.55/11.07 inference(superposition,[status(thm)],[f243,f58])).
% 69.55/11.07 thf(f58,plain,(
% 69.55/11.07 ( ! [X2 : $i,X1 : $i] : (($false = (sK3 @ X2 @ X1)) | ((sK3 @ X1 @ X2) = $true)) )),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f57])).
% 69.55/11.07 thf(f57,plain,(
% 69.55/11.07 ( ! [X2 : $i,X1 : $i] : ((((sK3 @ X2 @ X1) => (sK3 @ X1 @ X2)) = $true)) )),
% 69.55/11.07 inference(beta_eta_normalization,[status(thm)],[f56])).
% 69.55/11.07 thf(f56,plain,(
% 69.55/11.07 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((sK3 @ Y0 @ X1) => (sK3 @ X1 @ Y0))) @ X2) = $true)) )),
% 69.55/11.07 inference(pi_clausification,[status(thm)],[f55])).
% 69.55/11.07 thf(f55,plain,(
% 69.55/11.07 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0 @ X1) => (sK3 @ X1 @ Y0)))) = $true)) )),
% 69.55/11.07 inference(beta_eta_normalization,[status(thm)],[f54])).
% 69.55/11.07 thf(f54,plain,(
% 69.55/11.07 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y1 @ Y0) => (sK3 @ Y0 @ Y1))))) @ X1) = $true)) )),
% 69.55/11.07 inference(pi_clausification,[status(thm)],[f42])).
% 69.55/11.07 thf(f42,plain,(
% 69.55/11.07 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y1 @ Y0) => (sK3 @ Y0 @ Y1)))))) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f41])).
% 69.55/11.07 thf(f243,plain,(
% 69.55/11.07 ((sK3 @ sK7 @ sK8) != $false) | spl0_21),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f242])).
% 69.55/11.07 thf(f242,definition,(
% 69.55/11.07 spl0_21 <=> ((sK3 @ sK7 @ sK8) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_21])],[avatar_definition])).
% 69.55/11.07 thf(f724,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK8 @ X0) = $false) | (sK8 = X0) | ((sK3 @ sK6 @ X0) = $false) | (sK6 = X0)) ) | ~spl0_64),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f723])).
% 69.55/11.07 thf(f723,definition,(
% 69.55/11.07 spl0_64 <=> ! [X0 : $i] : (((sK3 @ sK6 @ X0) = $false) | (sK6 = X0) | ((sK3 @ sK8 @ X0) = $false) | (sK8 = X0))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_64])],[avatar_definition])).
% 69.55/11.07 thf(f8169,plain,(
% 69.55/11.07 spl0_25 | spl0_62 | ~spl0_64),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f8168,f723,f714,f272])).
% 69.55/11.07 thf(f714,definition,(
% 69.55/11.07 spl0_62 <=> ($false = (sK3 @ sK8 @ sK7))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_62])],[avatar_definition])).
% 69.55/11.07 thf(f8168,plain,(
% 69.55/11.07 ((sK3 @ sK6 @ sK7) = $false) | (spl0_62 | ~spl0_64)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f8167,f279])).
% 69.55/11.07 thf(f8167,plain,(
% 69.55/11.07 (sK6 = sK7) | ((sK3 @ sK6 @ sK7) = $false) | (spl0_62 | ~spl0_64)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7979,f85])).
% 69.55/11.07 thf(f7979,plain,(
% 69.55/11.07 (sK8 = sK7) | (sK6 = sK7) | ((sK3 @ sK6 @ sK7) = $false) | (spl0_62 | ~spl0_64)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7978])).
% 69.55/11.07 thf(f7978,plain,(
% 69.55/11.07 (sK6 = sK7) | ($false != $false) | ((sK3 @ sK6 @ sK7) = $false) | (sK8 = sK7) | (spl0_62 | ~spl0_64)),
% 69.55/11.07 inference(superposition,[status(thm)],[f715,f724])).
% 69.55/11.07 thf(f715,plain,(
% 69.55/11.07 ($false != (sK3 @ sK8 @ sK7)) | spl0_62),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f714])).
% 69.55/11.07 thf(f8153,plain,(
% 69.55/11.07 ~spl0_23 | ~spl0_30 | ~spl0_91),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f8152])).
% 69.55/11.07 thf(f8152,plain,(
% 69.55/11.07 $false | (~spl0_23 | ~spl0_30 | ~spl0_91)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f8151])).
% 69.55/11.07 thf(f8151,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_23 | ~spl0_30 | ~spl0_91)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f8150])).
% 69.55/11.07 thf(f8150,plain,(
% 69.55/11.07 ((~ $false) = $false) | (~spl0_23 | ~spl0_30 | ~spl0_91)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f8149,f307])).
% 69.55/11.07 thf(f307,plain,(
% 69.55/11.07 ($false = (sK3 @ sK4 @ sK7)) | ~spl0_30),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f305])).
% 69.55/11.07 thf(f305,definition,(
% 69.55/11.07 spl0_30 <=> ($false = (sK3 @ sK4 @ sK7))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_30])],[avatar_definition])).
% 69.55/11.07 thf(f8149,plain,(
% 69.55/11.07 ((~ (sK3 @ sK4 @ sK7)) = $false) | (~spl0_23 | ~spl0_91)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f8148,f265])).
% 69.55/11.07 thf(f265,plain,(
% 69.55/11.07 (sK5 != sK7)),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f251])).
% 69.55/11.07 thf(f251,plain,(
% 69.55/11.07 ((sK7 = sK5) = $false)),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f48])).
% 69.55/11.07 thf(f48,plain,(
% 69.55/11.07 ((~ (sK7 = sK5)) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f47])).
% 69.55/11.07 thf(f8148,plain,(
% 69.55/11.07 ((~ (sK3 @ sK4 @ sK7)) = $false) | (sK5 = sK7) | (~spl0_23 | ~spl0_91)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f8126,f310])).
% 69.55/11.07 thf(f310,plain,(
% 69.55/11.07 (sK4 != sK7)),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f296])).
% 69.55/11.07 thf(f296,plain,(
% 69.55/11.07 ((sK7 = sK4) = $false)),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f53])).
% 69.55/11.07 thf(f8126,plain,(
% 69.55/11.07 (sK4 = sK7) | ((~ (sK3 @ sK4 @ sK7)) = $false) | (sK5 = sK7) | (~spl0_23 | ~spl0_91)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f8125])).
% 69.55/11.07 thf(f8125,plain,(
% 69.55/11.07 ($false = $true) | ((~ (sK3 @ sK4 @ sK7)) = $false) | (sK5 = sK7) | (sK4 = sK7) | (~spl0_23 | ~spl0_91)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f8120])).
% 69.55/11.07 thf(f8120,plain,(
% 69.55/11.07 (sK4 = sK7) | ((~ (sK3 @ sK4 @ sK7)) = $false) | ((~ $false) = $false) | (sK5 = sK7) | (~spl0_23 | ~spl0_91)),
% 69.55/11.07 inference(superposition,[status(thm)],[f1951,f259])).
% 69.55/11.07 thf(f259,plain,(
% 69.55/11.07 ((sK3 @ sK5 @ sK7) = $false) | ~spl0_23),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f257])).
% 69.55/11.07 thf(f257,definition,(
% 69.55/11.07 spl0_23 <=> ((sK3 @ sK5 @ sK7) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_23])],[avatar_definition])).
% 69.55/11.07 thf(f7954,plain,(
% 69.55/11.07 spl0_2 | spl0_31 | ~spl0_51),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f7953])).
% 69.55/11.07 thf(f7953,plain,(
% 69.55/11.07 $false | (spl0_2 | spl0_31 | ~spl0_51)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7952,f332])).
% 69.55/11.07 thf(f332,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK2) != $false) | spl0_31),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f331])).
% 69.55/11.07 thf(f331,definition,(
% 69.55/11.07 spl0_31 <=> ((sK3 @ sK4 @ sK2) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_31])],[avatar_definition])).
% 69.55/11.07 thf(f7952,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK2) = $false) | (spl0_2 | ~spl0_51)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7951,f91])).
% 69.55/11.07 thf(f91,plain,(
% 69.55/11.07 (sK4 != sK2)),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f90])).
% 69.55/11.07 thf(f90,plain,(
% 69.55/11.07 ((sK4 = sK2) = $false)),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f40])).
% 69.55/11.07 thf(f40,plain,(
% 69.55/11.07 ((~ (sK4 = sK2)) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f39])).
% 69.55/11.07 thf(f7951,plain,(
% 69.55/11.07 (sK4 = sK2) | ((sK3 @ sK4 @ sK2) = $false) | (spl0_2 | ~spl0_51)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7938,f77])).
% 69.55/11.07 thf(f77,plain,(
% 69.55/11.07 (sK5 != sK2)),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f76])).
% 69.55/11.07 thf(f76,plain,(
% 69.55/11.07 ((sK5 = sK2) = $false)),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f26])).
% 69.55/11.07 thf(f26,plain,(
% 69.55/11.07 ((~ (sK5 = sK2)) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f25])).
% 69.55/11.07 thf(f7938,plain,(
% 69.55/11.07 (sK5 = sK2) | ((sK3 @ sK4 @ sK2) = $false) | (sK4 = sK2) | (spl0_2 | ~spl0_51)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7933])).
% 69.55/11.07 thf(f7933,plain,(
% 69.55/11.07 (sK4 = sK2) | ($false = $true) | (sK5 = sK2) | ((sK3 @ sK4 @ sK2) = $false) | (spl0_2 | ~spl0_51)),
% 69.55/11.07 inference(superposition,[status(thm)],[f7504,f666])).
% 69.55/11.07 thf(f666,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK5 @ X0) = $false) | (sK4 = X0) | (sK5 = X0) | ((sK3 @ sK4 @ X0) = $false)) ) | ~spl0_51),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f665])).
% 69.55/11.07 thf(f665,definition,(
% 69.55/11.07 spl0_51 <=> ! [X0 : $i] : ((sK4 = X0) | ((sK3 @ sK5 @ X0) = $false) | (sK5 = X0) | ((sK3 @ sK4 @ X0) = $false))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_51])],[avatar_definition])).
% 69.55/11.07 thf(f7504,plain,(
% 69.55/11.07 ((sK3 @ sK5 @ sK2) = $true) | spl0_2),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7503])).
% 69.55/11.07 thf(f7503,plain,(
% 69.55/11.07 ($false != $false) | ((sK3 @ sK5 @ sK2) = $true) | spl0_2),
% 69.55/11.07 inference(superposition,[status(thm)],[f156,f58])).
% 69.55/11.07 thf(f156,plain,(
% 69.55/11.07 ((sK3 @ sK2 @ sK5) != $false) | spl0_2),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f155])).
% 69.55/11.07 thf(f155,definition,(
% 69.55/11.07 spl0_2 <=> ((sK3 @ sK2 @ sK5) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 69.55/11.07 thf(f7946,plain,(
% 69.55/11.07 spl0_31 | spl0_45 | ~spl0_51),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f7945])).
% 69.55/11.07 thf(f7945,plain,(
% 69.55/11.07 $false | (spl0_31 | spl0_45 | ~spl0_51)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7944,f91])).
% 69.55/11.07 thf(f7944,plain,(
% 69.55/11.07 (sK4 = sK2) | (spl0_31 | spl0_45 | ~spl0_51)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7943,f77])).
% 69.55/11.07 thf(f7943,plain,(
% 69.55/11.07 (sK5 = sK2) | (sK4 = sK2) | (spl0_31 | spl0_45 | ~spl0_51)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7942,f332])).
% 69.55/11.07 thf(f7942,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK2) = $false) | (sK5 = sK2) | (sK4 = sK2) | (spl0_45 | ~spl0_51)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7934])).
% 69.55/11.07 thf(f7934,plain,(
% 69.55/11.07 (sK5 = sK2) | (sK4 = sK2) | ($false != $false) | ((sK3 @ sK4 @ sK2) = $false) | (spl0_45 | ~spl0_51)),
% 69.55/11.07 inference(superposition,[status(thm)],[f642,f666])).
% 69.55/11.07 thf(f642,plain,(
% 69.55/11.07 ((sK3 @ sK5 @ sK2) != $false) | spl0_45),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f641])).
% 69.55/11.07 thf(f641,definition,(
% 69.55/11.07 spl0_45 <=> ((sK3 @ sK5 @ sK2) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_45])],[avatar_definition])).
% 69.55/11.07 thf(f7808,plain,(
% 69.55/11.07 spl0_21 | spl0_84),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f7807])).
% 69.55/11.07 thf(f7807,plain,(
% 69.55/11.07 $false | (spl0_21 | spl0_84)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7806])).
% 69.55/11.07 thf(f7806,plain,(
% 69.55/11.07 ($false != $false) | (spl0_21 | spl0_84)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f7805])).
% 69.55/11.07 thf(f7805,plain,(
% 69.55/11.07 ((~ $true) != $false) | (spl0_21 | spl0_84)),
% 69.55/11.07 inference(backward_demodulation,[status(thm)],[f1823,f7803])).
% 69.55/11.07 thf(f1823,plain,(
% 69.55/11.07 ((~ (sK3 @ sK8 @ sK7)) != $false) | spl0_84),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f1822])).
% 69.55/11.07 thf(f1822,definition,(
% 69.55/11.07 spl0_84 <=> ((~ (sK3 @ sK8 @ sK7)) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_84])],[avatar_definition])).
% 69.55/11.07 thf(f7782,plain,(
% 69.55/11.07 spl0_129 | ~spl0_68),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f7781,f744,f3247])).
% 69.55/11.07 thf(f3247,definition,(
% 69.55/11.07 spl0_129 <=> ! [X0 : $i] : ((sK2 = X0) | ((~ (sK3 @ sK2 @ X0)) = $false) | ($false = (~ (sK3 @ sK8 @ X0))) | (sK8 = X0))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_129])],[avatar_definition])).
% 69.55/11.07 thf(f744,definition,(
% 69.55/11.07 spl0_68 <=> ((sK3 @ sK8 @ sK2) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_68])],[avatar_definition])).
% 69.55/11.07 thf(f7781,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK3 @ sK2 @ X0)) = $false) | ($false = (~ (sK3 @ sK8 @ X0))) | (sK8 = X0) | (sK2 = X0)) ) | ~spl0_68),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7780])).
% 69.55/11.07 thf(f7780,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (($false = (~ (sK3 @ sK8 @ X0))) | ((~ (sK3 @ sK2 @ X0)) = $false) | (sK2 = X0) | (sK8 = X0) | ($false = $true)) ) | ~spl0_68),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f7779])).
% 69.55/11.07 thf(f7779,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (($false = (~ (sK3 @ sK8 @ X0))) | ((~ (sK3 @ sK2 @ X0)) = $false) | (sK2 = X0) | (sK8 = X0) | ((~ $false) = $false)) ) | ~spl0_68),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f1774,f746])).
% 69.55/11.07 thf(f746,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK2) = $false) | ~spl0_68),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f744])).
% 69.55/11.07 thf(f1774,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK2 = X0) | ($false = (~ (sK3 @ sK8 @ X0))) | ((~ (sK3 @ sK8 @ sK2)) = $false) | ((~ (sK3 @ sK2 @ X0)) = $false) | (sK8 = X0)) )),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f1727])).
% 69.55/11.07 thf(f1727,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK2 = X0) | ($false = (~ (sK3 @ sK8 @ X0))) | ((~ (sK3 @ sK8 @ sK2)) = $false) | ($false = $true) | ((~ (sK3 @ sK2 @ X0)) = $false) | (sK8 = X0)) )),
% 69.55/11.07 inference(superposition,[status(thm)],[f1328,f32])).
% 69.55/11.07 thf(f32,plain,(
% 69.55/11.07 ((~ (sK8 = sK2)) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f31])).
% 69.55/11.07 thf(f1328,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((~ (X2 = X1)) = $false) | (X2 = X3) | ((~ (sK3 @ X2 @ X3)) = $false) | ((~ (sK3 @ X2 @ X1)) = $false) | ((~ (sK3 @ X1 @ X3)) = $false) | (X1 = X3)) )),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f1235])).
% 69.55/11.07 thf(f1235,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((X3 = X1) = $true) | ((~ (sK3 @ X2 @ X3)) = $false) | ((~ (sK3 @ X2 @ X1)) = $false) | (X2 = X3) | ((~ (X2 = X1)) = $false) | ((~ (sK3 @ X1 @ X3)) = $false)) )),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f865])).
% 69.55/11.07 thf(f865,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((~ (X3 = X1)) = $false) | ((~ (sK3 @ X2 @ X1)) = $false) | ((~ (sK3 @ X2 @ X3)) = $false) | ((~ (X2 = X1)) = $false) | (X2 = X3) | ((~ (sK3 @ X1 @ X3)) = $false)) )),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f791])).
% 69.55/11.07 thf(f791,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((~ (sK3 @ X2 @ X1)) = $false) | ((~ (sK3 @ X1 @ X3)) = $false) | ((~ (X3 = X1)) = $false) | ((~ (sK3 @ X2 @ X3)) = $false) | ((X3 = X2) = $true) | ((~ (X2 = X1)) = $false)) )),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f71])).
% 69.55/11.07 thf(f71,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((~ (X3 = X2)) = $false) | ((~ (sK3 @ X1 @ X3)) = $false) | ((~ (sK3 @ X2 @ X3)) = $false) | ((~ (X3 = X1)) = $false) | ((~ (X2 = X1)) = $false) | ((~ (sK3 @ X2 @ X1)) = $false)) )),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f70])).
% 69.55/11.07 thf(f70,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((~ (sK3 @ X2 @ X3)) & (~ (sK3 @ X2 @ X1))) = $false) | ((~ (X3 = X1)) = $false) | ((~ (X2 = X1)) = $false) | ((~ (X3 = X2)) = $false) | ((~ (sK3 @ X1 @ X3)) = $false)) )),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f69])).
% 69.55/11.07 thf(f69,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((~ (X3 = X2)) = $false) | ((~ (X2 = X1)) = $false) | ((~ (X3 = X1)) = $false) | ((((~ (sK3 @ X2 @ X3)) & (~ (sK3 @ X2 @ X1))) & (~ (sK3 @ X1 @ X3))) = $false)) )),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f67])).
% 69.55/11.07 thf(f67,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((~ (X2 = X1)) = $false) | ((~ (X3 = X1)) = $false) | ((~ (X3 = X2)) = $false) | (((((~ (sK3 @ X2 @ X3)) & (~ (sK3 @ X2 @ X1))) & (~ (sK3 @ X1 @ X3))) | (((sK3 @ X2 @ X1) & (sK3 @ X2 @ X3)) & (sK3 @ X1 @ X3))) = $false)) )),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f66])).
% 69.55/11.07 thf(f66,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((~ (X2 = X1)) = $false) | ($false = (((((~ (sK3 @ X2 @ X3)) & (~ (sK3 @ X2 @ X1))) & (~ (sK3 @ X1 @ X3))) | (((sK3 @ X2 @ X1) & (sK3 @ X2 @ X3)) & (sK3 @ X1 @ X3))) & (~ (X3 = X2)))) | ((~ (X3 = X1)) = $false)) )),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f65])).
% 69.55/11.07 thf(f65,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((~ (X2 = X1)) = $false) | (((((((~ (sK3 @ X2 @ X3)) & (~ (sK3 @ X2 @ X1))) & (~ (sK3 @ X1 @ X3))) | (((sK3 @ X2 @ X1) & (sK3 @ X2 @ X3)) & (sK3 @ X1 @ X3))) & (~ (X3 = X2))) & (~ (X3 = X1))) = $false)) )),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f64])).
% 69.55/11.07 thf(f64,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((((((~ (sK3 @ X2 @ X3)) & (~ (sK3 @ X2 @ X1))) & (~ (sK3 @ X1 @ X3))) | (((sK3 @ X2 @ X1) & (sK3 @ X2 @ X3)) & (sK3 @ X1 @ X3))) & (~ (X3 = X2))) & (~ (X3 = X1))) & (~ (X2 = X1))) = $false)) )),
% 69.55/11.07 inference(beta_eta_normalization,[status(thm)],[f63])).
% 69.55/11.07 thf(f63,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (((((((~ (sK3 @ X2 @ Y0)) & (~ (sK3 @ X2 @ X1))) & (~ (sK3 @ X1 @ Y0))) | (((sK3 @ X2 @ X1) & (sK3 @ X2 @ Y0)) & (sK3 @ X1 @ Y0))) & (~ (Y0 = X2))) & (~ (Y0 = X1))) & (~ (X2 = X1)))) @ X3) = $false)) )),
% 69.55/11.07 inference(pi_clausification,[status(thm)],[f62])).
% 69.55/11.07 thf(f62,plain,(
% 69.55/11.07 ( ! [X2 : $i,X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: (((((((~ (sK3 @ X2 @ Y0)) & (~ (sK3 @ X2 @ X1))) & (~ (sK3 @ X1 @ Y0))) | (((sK3 @ X2 @ X1) & (sK3 @ X2 @ Y0)) & (sK3 @ X1 @ Y0))) & (~ (Y0 = X2))) & (~ (Y0 = X1))) & (~ (X2 = X1))))) = $false)) )),
% 69.55/11.07 inference(beta_eta_normalization,[status(thm)],[f61])).
% 69.55/11.07 thf(f61,plain,(
% 69.55/11.07 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (((((((~ (sK3 @ Y0 @ Y1)) & (~ (sK3 @ Y0 @ X1))) & (~ (sK3 @ X1 @ Y1))) | (((sK3 @ Y0 @ X1) & (sK3 @ Y0 @ Y1)) & (sK3 @ X1 @ Y1))) & (~ (Y1 = Y0))) & (~ (Y1 = X1))) & (~ (Y0 = X1)))))) @ X2) = $false)) )),
% 69.55/11.07 inference(pi_clausification,[status(thm)],[f60])).
% 69.55/11.07 thf(f60,plain,(
% 69.55/11.07 ( ! [X1 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (((((((~ (sK3 @ Y0 @ Y1)) & (~ (sK3 @ Y0 @ X1))) & (~ (sK3 @ X1 @ Y1))) | (((sK3 @ Y0 @ X1) & (sK3 @ Y0 @ Y1)) & (sK3 @ X1 @ Y1))) & (~ (Y1 = Y0))) & (~ (Y1 = X1))) & (~ (Y0 = X1))))))))) )),
% 69.55/11.07 inference(beta_eta_normalization,[status(thm)],[f59])).
% 69.55/11.07 thf(f59,plain,(
% 69.55/11.07 ( ! [X1 : $i] : ((((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (((((((~ (sK3 @ Y1 @ Y2)) & (~ (sK3 @ Y1 @ Y0))) & (~ (sK3 @ Y0 @ Y2))) | (((sK3 @ Y1 @ Y0) & (sK3 @ Y1 @ Y2)) & (sK3 @ Y0 @ Y2))) & (~ (Y2 = Y1))) & (~ (Y2 = Y0))) & (~ (Y1 = Y0)))))))) @ X1) = $false)) )),
% 69.55/11.07 inference(pi_clausification,[status(thm)],[f22])).
% 69.55/11.07 thf(f22,plain,(
% 69.55/11.07 ((?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (((((((~ (sK3 @ Y1 @ Y2)) & (~ (sK3 @ Y1 @ Y0))) & (~ (sK3 @ Y0 @ Y2))) | (((sK3 @ Y1 @ Y0) & (sK3 @ Y1 @ Y2)) & (sK3 @ Y0 @ Y2))) & (~ (Y2 = Y1))) & (~ (Y2 = Y0))) & (~ (Y1 = Y0))))))))) = $false)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f21])).
% 69.55/11.07 thf(f7778,plain,(
% 69.55/11.07 spl0_7 | spl0_23 | ~spl0_46),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f7777])).
% 69.55/11.07 thf(f7777,plain,(
% 69.55/11.07 $false | (spl0_7 | spl0_23 | ~spl0_46)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7776,f265])).
% 69.55/11.07 thf(f7776,plain,(
% 69.55/11.07 (sK5 = sK7) | (spl0_7 | spl0_23 | ~spl0_46)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7775,f178])).
% 69.55/11.07 thf(f178,plain,(
% 69.55/11.07 ($false != (sK3 @ sK2 @ sK7)) | spl0_7),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f177])).
% 69.55/11.07 thf(f177,definition,(
% 69.55/11.07 spl0_7 <=> ($false = (sK3 @ sK2 @ sK7))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])).
% 69.55/11.07 thf(f7775,plain,(
% 69.55/11.07 ($false = (sK3 @ sK2 @ sK7)) | (sK5 = sK7) | (spl0_23 | ~spl0_46)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7771,f79])).
% 69.55/11.07 thf(f79,plain,(
% 69.55/11.07 (sK2 != sK7)),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f78])).
% 69.55/11.07 thf(f78,plain,(
% 69.55/11.07 ($false = (sK7 = sK2))),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f28])).
% 69.55/11.07 thf(f28,plain,(
% 69.55/11.07 ((~ (sK7 = sK2)) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f27])).
% 69.55/11.07 thf(f7771,plain,(
% 69.55/11.07 (sK2 = sK7) | (sK5 = sK7) | ($false = (sK3 @ sK2 @ sK7)) | (spl0_23 | ~spl0_46)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7767])).
% 69.55/11.07 thf(f7767,plain,(
% 69.55/11.07 (sK5 = sK7) | (sK2 = sK7) | ($false != $false) | ($false = (sK3 @ sK2 @ sK7)) | (spl0_23 | ~spl0_46)),
% 69.55/11.07 inference(superposition,[status(thm)],[f258,f646])).
% 69.55/11.07 thf(f646,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK5 @ X0) = $false) | (sK5 = X0) | (sK2 = X0) | ((sK3 @ sK2 @ X0) = $false)) ) | ~spl0_46),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f645])).
% 69.55/11.07 thf(f645,definition,(
% 69.55/11.07 spl0_46 <=> ! [X0 : $i] : (((sK3 @ sK2 @ X0) = $false) | (sK2 = X0) | (sK5 = X0) | ((sK3 @ sK5 @ X0) = $false))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_46])],[avatar_definition])).
% 69.55/11.07 thf(f258,plain,(
% 69.55/11.07 ((sK3 @ sK5 @ sK7) != $false) | spl0_23),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f257])).
% 69.55/11.07 thf(f7753,plain,(
% 69.55/11.07 spl0_20 | spl0_28 | ~spl0_46),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f7752])).
% 69.55/11.07 thf(f7752,plain,(
% 69.55/11.07 $false | (spl0_20 | spl0_28 | ~spl0_46)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7751,f286])).
% 69.55/11.07 thf(f7751,plain,(
% 69.55/11.07 (sK8 = sK5) | (spl0_20 | spl0_28 | ~spl0_46)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7750,f83])).
% 69.55/11.07 thf(f83,plain,(
% 69.55/11.07 (sK8 != sK2)),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f82])).
% 69.55/11.07 thf(f82,plain,(
% 69.55/11.07 ((sK8 = sK2) = $false)),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f32])).
% 69.55/11.07 thf(f7750,plain,(
% 69.55/11.07 (sK8 = sK2) | (sK8 = sK5) | (spl0_20 | spl0_28 | ~spl0_46)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7749,f236])).
% 69.55/11.07 thf(f236,plain,(
% 69.55/11.07 ($false != (sK3 @ sK2 @ sK8)) | spl0_20),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f235])).
% 69.55/11.07 thf(f235,definition,(
% 69.55/11.07 spl0_20 <=> ($false = (sK3 @ sK2 @ sK8))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_20])],[avatar_definition])).
% 69.55/11.07 thf(f7749,plain,(
% 69.55/11.07 ($false = (sK3 @ sK2 @ sK8)) | (sK8 = sK2) | (sK8 = sK5) | (spl0_28 | ~spl0_46)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7745])).
% 69.55/11.07 thf(f7745,plain,(
% 69.55/11.07 ($false = (sK3 @ sK2 @ sK8)) | ($false != $false) | (sK8 = sK5) | (sK8 = sK2) | (spl0_28 | ~spl0_46)),
% 69.55/11.07 inference(superposition,[status(thm)],[f292,f646])).
% 69.55/11.07 thf(f292,plain,(
% 69.55/11.07 ((sK3 @ sK5 @ sK8) != $false) | spl0_28),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f291])).
% 69.55/11.07 thf(f7720,plain,(
% 69.55/11.07 ~spl0_74),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f7719])).
% 69.55/11.07 thf(f7719,plain,(
% 69.55/11.07 $false | ~spl0_74),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7718,f81])).
% 69.55/11.07 thf(f81,plain,(
% 69.55/11.07 (sK5 != sK4)),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f80])).
% 69.55/11.07 thf(f80,plain,(
% 69.55/11.07 ((sK5 = sK4) = $false)),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f30])).
% 69.55/11.07 thf(f30,plain,(
% 69.55/11.07 ((~ (sK5 = sK4)) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f29])).
% 69.55/11.07 thf(f7718,plain,(
% 69.55/11.07 (sK5 = sK4) | ~spl0_74),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f7717])).
% 69.55/11.07 thf(f7717,plain,(
% 69.55/11.07 ((sK4 = sK5) = $true) | ~spl0_74),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f1195])).
% 69.55/11.07 thf(f1195,plain,(
% 69.55/11.07 ((~ (sK4 = sK5)) = $false) | ~spl0_74),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f1193])).
% 69.55/11.07 thf(f1193,definition,(
% 69.55/11.07 spl0_74 <=> ((~ (sK4 = sK5)) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_74])],[avatar_definition])).
% 69.55/11.07 thf(f7706,plain,(
% 69.55/11.07 ~spl0_31 | ~spl0_54 | ~spl0_147),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f7705])).
% 69.55/11.07 thf(f7705,plain,(
% 69.55/11.07 $false | (~spl0_31 | ~spl0_54 | ~spl0_147)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7704])).
% 69.55/11.07 thf(f7704,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_31 | ~spl0_54 | ~spl0_147)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f7703,f678])).
% 69.55/11.07 thf(f678,plain,(
% 69.55/11.07 ($false = (sK3 @ sK6 @ sK2)) | ~spl0_54),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f676])).
% 69.55/11.07 thf(f676,definition,(
% 69.55/11.07 spl0_54 <=> ($false = (sK3 @ sK6 @ sK2))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_54])],[avatar_definition])).
% 69.55/11.07 thf(f7703,plain,(
% 69.55/11.07 ((sK3 @ sK6 @ sK2) = $true) | (~spl0_31 | ~spl0_147)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7702,f87])).
% 69.55/11.07 thf(f87,plain,(
% 69.55/11.07 (sK6 != sK2)),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f86])).
% 69.55/11.07 thf(f86,plain,(
% 69.55/11.07 ((sK6 = sK2) = $false)),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f36])).
% 69.55/11.07 thf(f36,plain,(
% 69.55/11.07 ((~ (sK6 = sK2)) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f35])).
% 69.55/11.07 thf(f7702,plain,(
% 69.55/11.07 ((sK3 @ sK6 @ sK2) = $true) | (sK6 = sK2) | (~spl0_31 | ~spl0_147)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7687,f91])).
% 69.55/11.07 thf(f7687,plain,(
% 69.55/11.07 (sK4 = sK2) | ((sK3 @ sK6 @ sK2) = $true) | (sK6 = sK2) | (~spl0_31 | ~spl0_147)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7686])).
% 69.55/11.07 thf(f7686,plain,(
% 69.55/11.07 ((sK3 @ sK6 @ sK2) = $true) | (sK6 = sK2) | ($false = $true) | (sK4 = sK2) | (~spl0_31 | ~spl0_147)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f7676])).
% 69.55/11.07 thf(f7676,plain,(
% 69.55/11.07 ((~ $false) = $false) | ((sK3 @ sK6 @ sK2) = $true) | (sK6 = sK2) | (sK4 = sK2) | (~spl0_31 | ~spl0_147)),
% 69.55/11.07 inference(superposition,[status(thm)],[f7360,f333])).
% 69.55/11.07 thf(f333,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK2) = $false) | ~spl0_31),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f331])).
% 69.55/11.07 thf(f7360,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK3 @ sK4 @ X0)) = $false) | (sK4 = X0) | (sK6 = X0) | ((sK3 @ sK6 @ X0) = $true)) ) | ~spl0_147),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f4671])).
% 69.55/11.07 thf(f4671,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK3 @ sK6 @ X0)) = $false) | (sK4 = X0) | (sK6 = X0) | ((~ (sK3 @ sK4 @ X0)) = $false)) ) | ~spl0_147),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f4670])).
% 69.55/11.07 thf(f4670,definition,(
% 69.55/11.07 spl0_147 <=> ! [X0 : $i] : ((sK6 = X0) | ((~ (sK3 @ sK6 @ X0)) = $false) | (sK4 = X0) | ((~ (sK3 @ sK4 @ X0)) = $false))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_147])],[avatar_definition])).
% 69.55/11.07 thf(f7699,plain,(
% 69.55/11.07 ~spl0_16 | ~spl0_56 | ~spl0_147),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f7698])).
% 69.55/11.07 thf(f7698,plain,(
% 69.55/11.07 $false | (~spl0_16 | ~spl0_56 | ~spl0_147)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7697])).
% 69.55/11.07 thf(f7697,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_16 | ~spl0_56 | ~spl0_147)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f7696,f688])).
% 69.55/11.07 thf(f7696,plain,(
% 69.55/11.07 ((sK3 @ sK6 @ sK5) = $true) | (~spl0_16 | ~spl0_147)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7695,f95])).
% 69.55/11.07 thf(f7695,plain,(
% 69.55/11.07 (sK5 = sK6) | ((sK3 @ sK6 @ sK5) = $true) | (~spl0_16 | ~spl0_147)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7689,f81])).
% 69.55/11.07 thf(f7689,plain,(
% 69.55/11.07 ((sK3 @ sK6 @ sK5) = $true) | (sK5 = sK4) | (sK5 = sK6) | (~spl0_16 | ~spl0_147)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7688])).
% 69.55/11.07 thf(f7688,plain,(
% 69.55/11.07 (sK5 = sK4) | (sK5 = sK6) | ($false = $true) | ((sK3 @ sK6 @ sK5) = $true) | (~spl0_16 | ~spl0_147)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f7677])).
% 69.55/11.07 thf(f7677,plain,(
% 69.55/11.07 (sK5 = sK6) | ((sK3 @ sK6 @ sK5) = $true) | (sK5 = sK4) | ((~ $false) = $false) | (~spl0_16 | ~spl0_147)),
% 69.55/11.07 inference(superposition,[status(thm)],[f7360,f215])).
% 69.55/11.07 thf(f215,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK5) = $false) | ~spl0_16),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f213])).
% 69.55/11.07 thf(f213,definition,(
% 69.55/11.07 spl0_16 <=> ((sK3 @ sK4 @ sK5) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_16])],[avatar_definition])).
% 69.55/11.07 thf(f7668,plain,(
% 69.55/11.07 spl0_25 | spl0_30 | ~spl0_65),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f7667])).
% 69.55/11.07 thf(f7667,plain,(
% 69.55/11.07 $false | (spl0_25 | spl0_30 | ~spl0_65)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7666,f306])).
% 69.55/11.07 thf(f306,plain,(
% 69.55/11.07 ($false != (sK3 @ sK4 @ sK7)) | spl0_30),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f305])).
% 69.55/11.07 thf(f7666,plain,(
% 69.55/11.07 ($false = (sK3 @ sK4 @ sK7)) | (spl0_25 | ~spl0_65)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7665,f310])).
% 69.55/11.07 thf(f7665,plain,(
% 69.55/11.07 (sK4 = sK7) | ($false = (sK3 @ sK4 @ sK7)) | (spl0_25 | ~spl0_65)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7663,f279])).
% 69.55/11.07 thf(f7663,plain,(
% 69.55/11.07 (sK6 = sK7) | ($false = (sK3 @ sK4 @ sK7)) | (sK4 = sK7) | (spl0_25 | ~spl0_65)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7659])).
% 69.55/11.07 thf(f7659,plain,(
% 69.55/11.07 ($false != $false) | ($false = (sK3 @ sK4 @ sK7)) | (sK4 = sK7) | (sK6 = sK7) | (spl0_25 | ~spl0_65)),
% 69.55/11.07 inference(superposition,[status(thm)],[f273,f730])).
% 69.55/11.07 thf(f730,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK6 @ X0) = $false) | (sK6 = X0) | (sK4 = X0) | ((sK3 @ sK4 @ X0) = $false)) ) | ~spl0_65),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f729])).
% 69.55/11.07 thf(f729,definition,(
% 69.55/11.07 spl0_65 <=> ! [X0 : $i] : ((sK4 = X0) | ((sK3 @ sK4 @ X0) = $false) | ((sK3 @ sK6 @ X0) = $false) | (sK6 = X0))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_65])],[avatar_definition])).
% 69.55/11.07 thf(f7474,plain,(
% 69.55/11.07 spl0_7 | ~spl0_44 | spl0_59),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f7473,f703,f636,f177])).
% 69.55/11.07 thf(f636,definition,(
% 69.55/11.07 spl0_44 <=> ! [X0 : $i] : (((sK3 @ sK2 @ X0) = $false) | (sK2 = X0) | ((sK3 @ sK4 @ X0) = $false) | (sK4 = X0))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_44])],[avatar_definition])).
% 69.55/11.07 thf(f7473,plain,(
% 69.55/11.07 ($false = (sK3 @ sK2 @ sK7)) | (~spl0_44 | spl0_59)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7472,f79])).
% 69.55/11.07 thf(f7472,plain,(
% 69.55/11.07 ($false = (sK3 @ sK2 @ sK7)) | (sK2 = sK7) | (~spl0_44 | spl0_59)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7037,f310])).
% 69.55/11.07 thf(f7037,plain,(
% 69.55/11.07 (sK4 = sK7) | (sK2 = sK7) | ($false = (sK3 @ sK2 @ sK7)) | (~spl0_44 | spl0_59)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7032])).
% 69.55/11.07 thf(f7032,plain,(
% 69.55/11.07 (sK4 = sK7) | ($false = $true) | (sK2 = sK7) | ($false = (sK3 @ sK2 @ sK7)) | (~spl0_44 | spl0_59)),
% 69.55/11.07 inference(superposition,[status(thm)],[f6931,f637])).
% 69.55/11.07 thf(f637,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK4 @ X0) = $false) | (sK2 = X0) | ((sK3 @ sK2 @ X0) = $false) | (sK4 = X0)) ) | ~spl0_44),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f636])).
% 69.55/11.07 thf(f6931,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK7) = $true) | spl0_59),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f6930])).
% 69.55/11.07 thf(f6930,plain,(
% 69.55/11.07 ($false != $false) | ((sK3 @ sK4 @ sK7) = $true) | spl0_59),
% 69.55/11.07 inference(superposition,[status(thm)],[f704,f58])).
% 69.55/11.07 thf(f704,plain,(
% 69.55/11.07 ($false != (sK3 @ sK7 @ sK4)) | spl0_59),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f703])).
% 69.55/11.07 thf(f7466,plain,(
% 69.55/11.07 spl0_7 | spl0_30 | ~spl0_44),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f7465,f636,f305,f177])).
% 69.55/11.07 thf(f7465,plain,(
% 69.55/11.07 ($false = (sK3 @ sK2 @ sK7)) | (spl0_30 | ~spl0_44)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7464,f79])).
% 69.55/11.07 thf(f7464,plain,(
% 69.55/11.07 ($false = (sK3 @ sK2 @ sK7)) | (sK2 = sK7) | (spl0_30 | ~spl0_44)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7048,f310])).
% 69.55/11.07 thf(f7048,plain,(
% 69.55/11.07 (sK4 = sK7) | ($false = (sK3 @ sK2 @ sK7)) | (sK2 = sK7) | (spl0_30 | ~spl0_44)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7033])).
% 69.55/11.07 thf(f7033,plain,(
% 69.55/11.07 (sK2 = sK7) | ($false = (sK3 @ sK2 @ sK7)) | ($false != $false) | (sK4 = sK7) | (spl0_30 | ~spl0_44)),
% 69.55/11.07 inference(superposition,[status(thm)],[f306,f637])).
% 69.55/11.07 thf(f7459,plain,(
% 69.55/11.07 spl0_6 | spl0_5),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f4030,f169,f172])).
% 69.55/11.07 thf(f172,definition,(
% 69.55/11.07 spl0_6 <=> ((sK3 @ sK2 @ sK6) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])).
% 69.55/11.07 thf(f169,definition,(
% 69.55/11.07 spl0_5 <=> ! [X0 : $i] : (((~ (sK2 = X0)) = $false) | ((~ (sK6 = X0)) = $false) | ((sK3 @ X0 @ sK6) = $false) | ((sK3 @ sK2 @ X0) = $false))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])).
% 69.55/11.07 thf(f4030,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK6 = X0)) = $false) | ((sK3 @ X0 @ sK6) = $false) | ((sK3 @ sK2 @ X0) = $false) | ((sK3 @ sK2 @ sK6) = $false) | ((~ (sK2 = X0)) = $false)) )),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4017])).
% 69.55/11.07 thf(f4017,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (($false = $true) | ((sK3 @ sK2 @ sK6) = $false) | ((sK3 @ X0 @ sK6) = $false) | ((sK3 @ sK2 @ X0) = $false) | ((~ (sK2 = X0)) = $false) | ((~ (sK6 = X0)) = $false)) )),
% 69.55/11.07 inference(superposition,[status(thm)],[f73,f36])).
% 69.55/11.07 thf(f73,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((~ (X3 = X2)) = $false) | ((~ (X3 = X1)) = $false) | ($false = (sK3 @ X2 @ X1)) | ((~ (X2 = X1)) = $false) | ((sK3 @ X1 @ X3) = $false) | ((sK3 @ X2 @ X3) = $false)) )),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f72])).
% 69.55/11.07 thf(f72,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((~ (X3 = X2)) = $false) | ((sK3 @ X1 @ X3) = $false) | ((~ (X3 = X1)) = $false) | (((sK3 @ X2 @ X1) & (sK3 @ X2 @ X3)) = $false) | ((~ (X2 = X1)) = $false)) )),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f68])).
% 69.55/11.07 thf(f68,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((sK3 @ X2 @ X1) & (sK3 @ X2 @ X3)) & (sK3 @ X1 @ X3)) = $false) | ((~ (X3 = X1)) = $false) | ((~ (X2 = X1)) = $false) | ((~ (X3 = X2)) = $false)) )),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f67])).
% 69.55/11.07 thf(f7420,plain,(
% 69.55/11.07 spl0_45 | spl0_54 | ~spl0_55),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f7419])).
% 69.55/11.07 thf(f7419,plain,(
% 69.55/11.07 $false | (spl0_45 | spl0_54 | ~spl0_55)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7418,f77])).
% 69.55/11.07 thf(f7418,plain,(
% 69.55/11.07 (sK5 = sK2) | (spl0_45 | spl0_54 | ~spl0_55)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7417,f87])).
% 69.55/11.07 thf(f7417,plain,(
% 69.55/11.07 (sK6 = sK2) | (sK5 = sK2) | (spl0_45 | spl0_54 | ~spl0_55)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7415,f642])).
% 69.55/11.07 thf(f7415,plain,(
% 69.55/11.07 ((sK3 @ sK5 @ sK2) = $false) | (sK5 = sK2) | (sK6 = sK2) | (spl0_54 | ~spl0_55)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7409])).
% 69.55/11.07 thf(f7409,plain,(
% 69.55/11.07 (sK5 = sK2) | ($false != $false) | (sK6 = sK2) | ((sK3 @ sK5 @ sK2) = $false) | (spl0_54 | ~spl0_55)),
% 69.55/11.07 inference(superposition,[status(thm)],[f677,f684])).
% 69.55/11.07 thf(f684,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK6 @ X0) = $false) | (sK5 = X0) | ((sK3 @ sK5 @ X0) = $false) | (sK6 = X0)) ) | ~spl0_55),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f683])).
% 69.55/11.07 thf(f683,definition,(
% 69.55/11.07 spl0_55 <=> ! [X0 : $i] : ((sK5 = X0) | ((sK3 @ sK6 @ X0) = $false) | ((sK3 @ sK5 @ X0) = $false) | (sK6 = X0))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_55])],[avatar_definition])).
% 69.55/11.07 thf(f677,plain,(
% 69.55/11.07 ($false != (sK3 @ sK6 @ sK2)) | spl0_54),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f676])).
% 69.55/11.07 thf(f7408,plain,(
% 69.55/11.07 spl0_6 | ~spl0_54),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f7407])).
% 69.55/11.07 thf(f7407,plain,(
% 69.55/11.07 $false | (spl0_6 | ~spl0_54)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7406])).
% 69.55/11.07 thf(f7406,plain,(
% 69.55/11.07 ($false = $true) | (spl0_6 | ~spl0_54)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f7397,f678])).
% 69.55/11.07 thf(f7397,plain,(
% 69.55/11.07 ((sK3 @ sK6 @ sK2) = $true) | spl0_6),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7396])).
% 69.55/11.07 thf(f7396,plain,(
% 69.55/11.07 ($false != $false) | ((sK3 @ sK6 @ sK2) = $true) | spl0_6),
% 69.55/11.07 inference(superposition,[status(thm)],[f173,f58])).
% 69.55/11.07 thf(f173,plain,(
% 69.55/11.07 ((sK3 @ sK2 @ sK6) != $false) | spl0_6),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f172])).
% 69.55/11.07 thf(f7405,plain,(
% 69.55/11.07 spl0_53 | spl0_6),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f7404,f172,f673])).
% 69.55/11.07 thf(f673,definition,(
% 69.55/11.07 spl0_53 <=> ! [X0 : $i] : ((sK2 = X0) | ((sK3 @ sK2 @ X0) = $false) | ((sK3 @ sK6 @ X0) = $false) | (sK6 = X0))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_53])],[avatar_definition])).
% 69.55/11.07 thf(f7404,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK6 = X0) | ((sK3 @ sK6 @ X0) = $false) | (sK2 = X0) | ((sK3 @ sK2 @ X0) = $false)) ) | spl0_6),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7398,f87])).
% 69.55/11.07 thf(f7398,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK2 = X0) | (sK6 = X0) | ((sK3 @ sK2 @ X0) = $false) | ((sK3 @ sK6 @ X0) = $false) | (sK6 = sK2)) ) | spl0_6),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7395])).
% 69.55/11.07 thf(f7395,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK6 = sK2) | ($false != $false) | ((sK3 @ sK6 @ X0) = $false) | ((sK3 @ sK2 @ X0) = $false) | (sK6 = X0) | (sK2 = X0)) ) | spl0_6),
% 69.55/11.07 inference(superposition,[status(thm)],[f173,f680])).
% 69.55/11.07 thf(f680,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (sK3 @ X2 @ X1)) | ((sK3 @ X2 @ X3) = $false) | ((sK3 @ X1 @ X3) = $false) | (X1 = X3) | (X1 = X2) | (X2 = X3)) )),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f558])).
% 69.55/11.07 thf(f558,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((sK3 @ X1 @ X3) = $false) | ($false = (sK3 @ X2 @ X1)) | (X2 = X3) | ((X2 = X1) = $true) | (X1 = X3) | ((sK3 @ X2 @ X3) = $false)) )),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f444])).
% 69.55/11.07 thf(f444,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((~ (X2 = X1)) = $false) | ($false = (sK3 @ X2 @ X1)) | (X1 = X3) | ((sK3 @ X2 @ X3) = $false) | (X2 = X3) | ((sK3 @ X1 @ X3) = $false)) )),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f354])).
% 69.55/11.07 thf(f354,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((X3 = X1) = $true) | ((sK3 @ X1 @ X3) = $false) | ((sK3 @ X2 @ X3) = $false) | ((~ (X2 = X1)) = $false) | (X2 = X3) | ($false = (sK3 @ X2 @ X1))) )),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f225])).
% 69.55/11.07 thf(f225,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((~ (X3 = X1)) = $false) | ((~ (X2 = X1)) = $false) | ((sK3 @ X2 @ X3) = $false) | ((sK3 @ X1 @ X3) = $false) | (X2 = X3) | ($false = (sK3 @ X2 @ X1))) )),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f96])).
% 69.55/11.07 thf(f96,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((X3 = X2) = $true) | ($false = (sK3 @ X2 @ X1)) | ((~ (X2 = X1)) = $false) | ((~ (X3 = X1)) = $false) | ((sK3 @ X2 @ X3) = $false) | ((sK3 @ X1 @ X3) = $false)) )),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f73])).
% 69.55/11.07 thf(f7341,plain,(
% 69.55/11.07 spl0_72 | ~spl0_58 | ~spl0_98),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f7300,f2888,f697,f1000])).
% 69.55/11.07 thf(f1000,definition,(
% 69.55/11.07 spl0_72 <=> ((~ (sK3 @ sK2 @ sK6)) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_72])],[avatar_definition])).
% 69.55/11.07 thf(f2888,definition,(
% 69.55/11.07 spl0_98 <=> ! [X0 : $i] : (((~ (sK3 @ sK2 @ X0)) = $false) | (sK2 = X0) | (sK7 = X0) | ((~ (sK3 @ sK7 @ X0)) = $false))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_98])],[avatar_definition])).
% 69.55/11.07 thf(f7300,plain,(
% 69.55/11.07 ((~ (sK3 @ sK2 @ sK6)) = $false) | (~spl0_58 | ~spl0_98)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7299,f279])).
% 69.55/11.07 thf(f7299,plain,(
% 69.55/11.07 (sK6 = sK7) | ((~ (sK3 @ sK2 @ sK6)) = $false) | (~spl0_58 | ~spl0_98)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7269,f87])).
% 69.55/11.07 thf(f7269,plain,(
% 69.55/11.07 ((~ (sK3 @ sK2 @ sK6)) = $false) | (sK6 = sK2) | (sK6 = sK7) | (~spl0_58 | ~spl0_98)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7268])).
% 69.55/11.07 thf(f7268,plain,(
% 69.55/11.07 ((~ (sK3 @ sK2 @ sK6)) = $false) | ($false = $true) | (sK6 = sK2) | (sK6 = sK7) | (~spl0_58 | ~spl0_98)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f7262])).
% 69.55/11.07 thf(f7262,plain,(
% 69.55/11.07 (sK6 = sK7) | ((~ (sK3 @ sK2 @ sK6)) = $false) | (sK6 = sK2) | ((~ $false) = $false) | (~spl0_58 | ~spl0_98)),
% 69.55/11.07 inference(superposition,[status(thm)],[f2889,f699])).
% 69.55/11.07 thf(f699,plain,(
% 69.55/11.07 ((sK3 @ sK7 @ sK6) = $false) | ~spl0_58),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f697])).
% 69.55/11.07 thf(f2889,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK3 @ sK7 @ X0)) = $false) | ((~ (sK3 @ sK2 @ X0)) = $false) | (sK7 = X0) | (sK2 = X0)) ) | ~spl0_98),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f2888])).
% 69.55/11.07 thf(f7304,plain,(
% 69.55/11.07 ~spl0_6 | ~spl0_58 | ~spl0_98),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f7303])).
% 69.55/11.07 thf(f7303,plain,(
% 69.55/11.07 $false | (~spl0_6 | ~spl0_58 | ~spl0_98)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7302])).
% 69.55/11.07 thf(f7302,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_6 | ~spl0_58 | ~spl0_98)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f7301])).
% 69.55/11.07 thf(f7301,plain,(
% 69.55/11.07 ((~ $false) = $false) | (~spl0_6 | ~spl0_58 | ~spl0_98)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f7300,f174])).
% 69.55/11.07 thf(f174,plain,(
% 69.55/11.07 ((sK3 @ sK2 @ sK6) = $false) | ~spl0_6),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f172])).
% 69.55/11.07 thf(f7246,plain,(
% 69.55/11.07 ~spl0_6 | ~spl0_63 | ~spl0_129),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f7245])).
% 69.55/11.07 thf(f7245,plain,(
% 69.55/11.07 $false | (~spl0_6 | ~spl0_63 | ~spl0_129)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7244])).
% 69.55/11.07 thf(f7244,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_6 | ~spl0_63 | ~spl0_129)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f7243,f721])).
% 69.55/11.07 thf(f721,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK6) = $false) | ~spl0_63),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f719])).
% 69.55/11.07 thf(f719,definition,(
% 69.55/11.07 spl0_63 <=> ((sK3 @ sK8 @ sK6) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_63])],[avatar_definition])).
% 69.55/11.07 thf(f7243,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK6) = $true) | (~spl0_6 | ~spl0_129)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7242,f89])).
% 69.55/11.07 thf(f89,plain,(
% 69.55/11.07 (sK8 != sK6)),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f88])).
% 69.55/11.07 thf(f88,plain,(
% 69.55/11.07 ((sK8 = sK6) = $false)),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f38])).
% 69.55/11.07 thf(f38,plain,(
% 69.55/11.07 ((~ (sK8 = sK6)) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f37])).
% 69.55/11.07 thf(f7242,plain,(
% 69.55/11.07 (sK8 = sK6) | ((sK3 @ sK8 @ sK6) = $true) | (~spl0_6 | ~spl0_129)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7227,f87])).
% 69.55/11.07 thf(f7227,plain,(
% 69.55/11.07 (sK6 = sK2) | (sK8 = sK6) | ((sK3 @ sK8 @ sK6) = $true) | (~spl0_6 | ~spl0_129)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7226])).
% 69.55/11.07 thf(f7226,plain,(
% 69.55/11.07 ($false = $true) | ((sK3 @ sK8 @ sK6) = $true) | (sK8 = sK6) | (sK6 = sK2) | (~spl0_6 | ~spl0_129)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f7211])).
% 69.55/11.07 thf(f7211,plain,(
% 69.55/11.07 (sK8 = sK6) | ((sK3 @ sK8 @ sK6) = $true) | (sK6 = sK2) | ((~ $false) = $false) | (~spl0_6 | ~spl0_129)),
% 69.55/11.07 inference(superposition,[status(thm)],[f6147,f174])).
% 69.55/11.07 thf(f6147,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK3 @ sK2 @ X0)) = $false) | (sK8 = X0) | (sK2 = X0) | ((sK3 @ sK8 @ X0) = $true)) ) | ~spl0_129),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f3248])).
% 69.55/11.07 thf(f3248,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (($false = (~ (sK3 @ sK8 @ X0))) | (sK2 = X0) | (sK8 = X0) | ((~ (sK3 @ sK2 @ X0)) = $false)) ) | ~spl0_129),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f3247])).
% 69.55/11.07 thf(f7121,plain,(
% 69.55/11.07 spl0_21 | spl0_30 | ~spl0_48),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f7120])).
% 69.55/11.07 thf(f7120,plain,(
% 69.55/11.07 $false | (spl0_21 | spl0_30 | ~spl0_48)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7119,f310])).
% 69.55/11.07 thf(f7119,plain,(
% 69.55/11.07 (sK4 = sK7) | (spl0_21 | spl0_30 | ~spl0_48)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7118,f85])).
% 69.55/11.07 thf(f7118,plain,(
% 69.55/11.07 (sK8 = sK7) | (sK4 = sK7) | (spl0_21 | spl0_30 | ~spl0_48)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7062,f306])).
% 69.55/11.07 thf(f7062,plain,(
% 69.55/11.07 ($false = (sK3 @ sK4 @ sK7)) | (sK8 = sK7) | (sK4 = sK7) | (spl0_21 | ~spl0_48)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7060])).
% 69.55/11.07 thf(f7060,plain,(
% 69.55/11.07 (sK4 = sK7) | (sK8 = sK7) | ($false = $true) | ($false = (sK3 @ sK4 @ sK7)) | (spl0_21 | ~spl0_48)),
% 69.55/11.07 inference(superposition,[status(thm)],[f6822,f654])).
% 69.55/11.07 thf(f654,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK8 @ X0) = $false) | (sK4 = X0) | ((sK3 @ sK4 @ X0) = $false) | (sK8 = X0)) ) | ~spl0_48),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f653])).
% 69.55/11.07 thf(f653,definition,(
% 69.55/11.07 spl0_48 <=> ! [X0 : $i] : (((sK3 @ sK8 @ X0) = $false) | (sK8 = X0) | (sK4 = X0) | ((sK3 @ sK4 @ X0) = $false))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_48])],[avatar_definition])).
% 69.55/11.07 thf(f6822,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK7) = $true) | spl0_21),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f6820])).
% 69.55/11.07 thf(f6820,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK7) = $true) | ($false != $false) | spl0_21),
% 69.55/11.07 inference(superposition,[status(thm)],[f243,f58])).
% 69.55/11.07 thf(f7117,plain,(
% 69.55/11.07 spl0_30 | ~spl0_48 | spl0_62),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f7116])).
% 69.55/11.07 thf(f7116,plain,(
% 69.55/11.07 $false | (spl0_30 | ~spl0_48 | spl0_62)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7115,f306])).
% 69.55/11.07 thf(f7115,plain,(
% 69.55/11.07 ($false = (sK3 @ sK4 @ sK7)) | (~spl0_48 | spl0_62)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7114,f85])).
% 69.55/11.07 thf(f7114,plain,(
% 69.55/11.07 (sK8 = sK7) | ($false = (sK3 @ sK4 @ sK7)) | (~spl0_48 | spl0_62)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7069,f310])).
% 69.55/11.07 thf(f7069,plain,(
% 69.55/11.07 (sK4 = sK7) | (sK8 = sK7) | ($false = (sK3 @ sK4 @ sK7)) | (~spl0_48 | spl0_62)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7061])).
% 69.55/11.07 thf(f7061,plain,(
% 69.55/11.07 (sK8 = sK7) | ($false = (sK3 @ sK4 @ sK7)) | (sK4 = sK7) | ($false != $false) | (~spl0_48 | spl0_62)),
% 69.55/11.07 inference(superposition,[status(thm)],[f715,f654])).
% 69.55/11.07 thf(f7113,plain,(
% 69.55/11.07 spl0_31 | ~spl0_48 | ~spl0_134),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f7112])).
% 69.55/11.07 thf(f7112,plain,(
% 69.55/11.07 $false | (spl0_31 | ~spl0_48 | ~spl0_134)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7111,f83])).
% 69.55/11.07 thf(f7111,plain,(
% 69.55/11.07 (sK8 = sK2) | (spl0_31 | ~spl0_48 | ~spl0_134)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7110,f91])).
% 69.55/11.07 thf(f7110,plain,(
% 69.55/11.07 (sK4 = sK2) | (sK8 = sK2) | (spl0_31 | ~spl0_48 | ~spl0_134)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7070,f332])).
% 69.55/11.07 thf(f7070,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK2) = $false) | (sK8 = sK2) | (sK4 = sK2) | (~spl0_48 | ~spl0_134)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7050])).
% 69.55/11.07 thf(f7050,plain,(
% 69.55/11.07 (sK4 = sK2) | ((sK3 @ sK4 @ sK2) = $false) | (sK8 = sK2) | ($false = $true) | (~spl0_48 | ~spl0_134)),
% 69.55/11.07 inference(superposition,[status(thm)],[f654,f3419])).
% 69.55/11.07 thf(f3419,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK2) = $true) | ~spl0_134),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f3417])).
% 69.55/11.07 thf(f3417,definition,(
% 69.55/11.07 spl0_134 <=> ((sK3 @ sK8 @ sK2) = $true)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_134])],[avatar_definition])).
% 69.55/11.07 thf(f7101,plain,(
% 69.55/11.07 spl0_31 | ~spl0_48 | spl0_68),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f7100])).
% 69.55/11.07 thf(f7100,plain,(
% 69.55/11.07 $false | (spl0_31 | ~spl0_48 | spl0_68)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7099,f83])).
% 69.55/11.07 thf(f7099,plain,(
% 69.55/11.07 (sK8 = sK2) | (spl0_31 | ~spl0_48 | spl0_68)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7098,f91])).
% 69.55/11.07 thf(f7098,plain,(
% 69.55/11.07 (sK4 = sK2) | (sK8 = sK2) | (spl0_31 | ~spl0_48 | spl0_68)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f7073,f332])).
% 69.55/11.07 thf(f7073,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK2) = $false) | (sK4 = sK2) | (sK8 = sK2) | (~spl0_48 | spl0_68)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f7054])).
% 69.55/11.07 thf(f7054,plain,(
% 69.55/11.07 (sK8 = sK2) | ((sK3 @ sK4 @ sK2) = $false) | (sK4 = sK2) | ($false != $false) | (~spl0_48 | spl0_68)),
% 69.55/11.07 inference(superposition,[status(thm)],[f745,f654])).
% 69.55/11.07 thf(f745,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK2) != $false) | spl0_68),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f744])).
% 69.55/11.07 thf(f6838,plain,(
% 69.55/11.07 spl0_23 | ~spl0_49 | spl0_62),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f6837])).
% 69.55/11.07 thf(f6837,plain,(
% 69.55/11.07 $false | (spl0_23 | ~spl0_49 | spl0_62)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f6836,f265])).
% 69.55/11.07 thf(f6836,plain,(
% 69.55/11.07 (sK5 = sK7) | (spl0_23 | ~spl0_49 | spl0_62)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f6835,f85])).
% 69.55/11.07 thf(f6835,plain,(
% 69.55/11.07 (sK8 = sK7) | (sK5 = sK7) | (spl0_23 | ~spl0_49 | spl0_62)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f6829,f258])).
% 69.55/11.07 thf(f6829,plain,(
% 69.55/11.07 ((sK3 @ sK5 @ sK7) = $false) | (sK8 = sK7) | (sK5 = sK7) | (~spl0_49 | spl0_62)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f6826])).
% 69.55/11.07 thf(f6826,plain,(
% 69.55/11.07 ($false != $false) | (sK5 = sK7) | (sK8 = sK7) | ((sK3 @ sK5 @ sK7) = $false) | (~spl0_49 | spl0_62)),
% 69.55/11.07 inference(superposition,[status(thm)],[f715,f658])).
% 69.55/11.07 thf(f658,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK8 @ X0) = $false) | ((sK3 @ sK5 @ X0) = $false) | (sK8 = X0) | (sK5 = X0)) ) | ~spl0_49),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f657])).
% 69.55/11.07 thf(f657,definition,(
% 69.55/11.07 spl0_49 <=> ! [X0 : $i] : ((sK8 = X0) | ((sK3 @ sK5 @ X0) = $false) | (sK5 = X0) | ((sK3 @ sK8 @ X0) = $false))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_49])],[avatar_definition])).
% 69.55/11.07 thf(f6393,plain,(
% 69.55/11.07 spl0_102 | ~spl0_151),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f6392])).
% 69.55/11.07 thf(f6392,plain,(
% 69.55/11.07 $false | (spl0_102 | ~spl0_151)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f6391])).
% 69.55/11.07 thf(f6391,plain,(
% 69.55/11.07 ($false != $false) | (spl0_102 | ~spl0_151)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f6390])).
% 69.55/11.07 thf(f6390,plain,(
% 69.55/11.07 ((~ $true) != $false) | (spl0_102 | ~spl0_151)),
% 69.55/11.07 inference(backward_demodulation,[status(thm)],[f2924,f6282])).
% 69.55/11.07 thf(f6282,plain,(
% 69.55/11.07 ((sK3 @ sK2 @ sK8) = $true) | ~spl0_151),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f6280])).
% 69.55/11.07 thf(f6280,definition,(
% 69.55/11.07 spl0_151 <=> ((sK3 @ sK2 @ sK8) = $true)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_151])],[avatar_definition])).
% 69.55/11.07 thf(f2924,plain,(
% 69.55/11.07 ((~ (sK3 @ sK2 @ sK8)) != $false) | spl0_102),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f2923])).
% 69.55/11.07 thf(f2923,definition,(
% 69.55/11.07 spl0_102 <=> ((~ (sK3 @ sK2 @ sK8)) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_102])],[avatar_definition])).
% 69.55/11.07 thf(f6389,plain,(
% 69.55/11.07 spl0_151 | spl0_68),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f6387,f744,f6280])).
% 69.55/11.07 thf(f6387,plain,(
% 69.55/11.07 ((sK3 @ sK2 @ sK8) = $true) | spl0_68),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f6385])).
% 69.55/11.07 thf(f6385,plain,(
% 69.55/11.07 ($false != $false) | ((sK3 @ sK2 @ sK8) = $true) | spl0_68),
% 69.55/11.07 inference(superposition,[status(thm)],[f745,f58])).
% 69.55/11.07 thf(f6347,plain,(
% 69.55/11.07 spl0_12 | ~spl0_15 | spl0_56),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f6346])).
% 69.55/11.07 thf(f6346,plain,(
% 69.55/11.07 $false | (spl0_12 | ~spl0_15 | spl0_56)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f6345,f687])).
% 69.55/11.07 thf(f687,plain,(
% 69.55/11.07 ($false != (sK3 @ sK6 @ sK5)) | spl0_56),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f686])).
% 69.55/11.07 thf(f6345,plain,(
% 69.55/11.07 ($false = (sK3 @ sK6 @ sK5)) | (spl0_12 | ~spl0_15)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f6344,f95])).
% 69.55/11.07 thf(f6344,plain,(
% 69.55/11.07 (sK5 = sK6) | ($false = (sK3 @ sK6 @ sK5)) | (spl0_12 | ~spl0_15)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f6343,f75])).
% 69.55/11.07 thf(f75,plain,(
% 69.55/11.07 (sK6 != sK4)),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f74])).
% 69.55/11.07 thf(f74,plain,(
% 69.55/11.07 ((sK6 = sK4) = $false)),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f24])).
% 69.55/11.07 thf(f24,plain,(
% 69.55/11.07 ((~ (sK6 = sK4)) = $true)),
% 69.55/11.07 inference(binary_proxy_clausification,[status(thm)],[f23])).
% 69.55/11.07 thf(f6343,plain,(
% 69.55/11.07 (sK6 = sK4) | (sK5 = sK6) | ($false = (sK3 @ sK6 @ sK5)) | (spl0_12 | ~spl0_15)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f6338])).
% 69.55/11.07 thf(f6338,plain,(
% 69.55/11.07 ($false != $false) | ($false = (sK3 @ sK6 @ sK5)) | (sK6 = sK4) | (sK5 = sK6) | (spl0_12 | ~spl0_15)),
% 69.55/11.07 inference(superposition,[status(thm)],[f197,f457])).
% 69.55/11.07 thf(f457,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK4 @ X0) = $false) | (sK5 = X0) | ((sK3 @ X0 @ sK5) = $false) | (sK4 = X0)) ) | ~spl0_15),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f452])).
% 69.55/11.07 thf(f452,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ X0 @ sK5) = $false) | ((sK4 = X0) = $true) | ((sK3 @ sK4 @ X0) = $false) | (sK5 = X0)) ) | ~spl0_15),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f353])).
% 69.55/11.07 thf(f353,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK4 = X0)) = $false) | (sK5 = X0) | ((sK3 @ sK4 @ X0) = $false) | ((sK3 @ X0 @ sK5) = $false)) ) | ~spl0_15),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f340])).
% 69.55/11.07 thf(f340,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK5 = X0) = $true) | ((~ (sK4 = X0)) = $false) | ((sK3 @ X0 @ sK5) = $false) | ((sK3 @ sK4 @ X0) = $false)) ) | ~spl0_15),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f211])).
% 69.55/11.07 thf(f211,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK5 = X0)) = $false) | ((sK3 @ sK4 @ X0) = $false) | ((sK3 @ X0 @ sK5) = $false) | ((~ (sK4 = X0)) = $false)) ) | ~spl0_15),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f210])).
% 69.55/11.07 thf(f210,definition,(
% 69.55/11.07 spl0_15 <=> ! [X0 : $i] : (((~ (sK5 = X0)) = $false) | ((~ (sK4 = X0)) = $false) | ((sK3 @ sK4 @ X0) = $false) | ((sK3 @ X0 @ sK5) = $false))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_15])],[avatar_definition])).
% 69.55/11.07 thf(f197,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK6) != $false) | spl0_12),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f196])).
% 69.55/11.07 thf(f196,definition,(
% 69.55/11.07 spl0_12 <=> ((sK3 @ sK4 @ sK6) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition])).
% 69.55/11.07 thf(f6326,plain,(
% 69.55/11.07 ~spl0_52 | ~spl0_92),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f6325])).
% 69.55/11.07 thf(f6325,plain,(
% 69.55/11.07 $false | (~spl0_52 | ~spl0_92)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f6324])).
% 69.55/11.07 thf(f6324,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_52 | ~spl0_92)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f6323])).
% 69.55/11.07 thf(f6323,plain,(
% 69.55/11.07 ((~ $false) = $false) | (~spl0_52 | ~spl0_92)),
% 69.55/11.07 inference(backward_demodulation,[status(thm)],[f1955,f670])).
% 69.55/11.07 thf(f670,plain,(
% 69.55/11.07 ((sK3 @ sK5 @ sK4) = $false) | ~spl0_52),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f668])).
% 69.55/11.07 thf(f668,definition,(
% 69.55/11.07 spl0_52 <=> ((sK3 @ sK5 @ sK4) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_52])],[avatar_definition])).
% 69.55/11.07 thf(f1955,plain,(
% 69.55/11.07 ((~ (sK3 @ sK5 @ sK4)) = $false) | ~spl0_92),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f1953])).
% 69.55/11.07 thf(f1953,definition,(
% 69.55/11.07 spl0_92 <=> ((~ (sK3 @ sK5 @ sK4)) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_92])],[avatar_definition])).
% 69.55/11.07 thf(f6320,plain,(
% 69.55/11.07 ~spl0_63 | ~spl0_115),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f6319])).
% 69.55/11.07 thf(f6319,plain,(
% 69.55/11.07 $false | (~spl0_63 | ~spl0_115)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f6318])).
% 69.55/11.07 thf(f6318,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_63 | ~spl0_115)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f6317])).
% 69.55/11.07 thf(f6317,plain,(
% 69.55/11.07 ((~ $false) = $false) | (~spl0_63 | ~spl0_115)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f3065,f721])).
% 69.55/11.07 thf(f3065,plain,(
% 69.55/11.07 ($false = (~ (sK3 @ sK8 @ sK6))) | ~spl0_115),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f3063])).
% 69.55/11.07 thf(f3063,definition,(
% 69.55/11.07 spl0_115 <=> ($false = (~ (sK3 @ sK8 @ sK6)))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_115])],[avatar_definition])).
% 69.55/11.07 thf(f6304,plain,(
% 69.55/11.07 spl0_6 | spl0_33),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f4037,f417,f172])).
% 69.55/11.07 thf(f417,definition,(
% 69.55/11.07 spl0_33 <=> ! [X0 : $i] : (($false = (~ (X0 = sK2))) | ((sK3 @ X0 @ sK6) = $false) | ((sK3 @ X0 @ sK2) = $false) | (sK6 = X0))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_33])],[avatar_definition])).
% 69.55/11.07 thf(f4037,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ X0 @ sK6) = $false) | ($false = (~ (X0 = sK2))) | ((sK3 @ sK2 @ sK6) = $false) | ((sK3 @ X0 @ sK2) = $false) | (sK6 = X0)) )),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4019])).
% 69.55/11.07 thf(f4019,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK2 @ sK6) = $false) | ((sK3 @ X0 @ sK6) = $false) | ($false = $true) | ($false = (~ (X0 = sK2))) | (sK6 = X0) | ((sK3 @ X0 @ sK2) = $false)) )),
% 69.55/11.07 inference(superposition,[status(thm)],[f225,f36])).
% 69.55/11.07 thf(f6295,plain,(
% 69.55/11.07 spl0_56 | spl0_50 | ~spl0_64),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f6294,f723,f660,f686])).
% 69.55/11.07 thf(f6294,plain,(
% 69.55/11.07 ($false = (sK3 @ sK6 @ sK5)) | (spl0_50 | ~spl0_64)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f6293,f286])).
% 69.55/11.07 thf(f6293,plain,(
% 69.55/11.07 (sK8 = sK5) | ($false = (sK3 @ sK6 @ sK5)) | (spl0_50 | ~spl0_64)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f6076,f95])).
% 69.55/11.07 thf(f6076,plain,(
% 69.55/11.07 (sK5 = sK6) | (sK8 = sK5) | ($false = (sK3 @ sK6 @ sK5)) | (spl0_50 | ~spl0_64)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f6058])).
% 69.55/11.07 thf(f6058,plain,(
% 69.55/11.07 (sK8 = sK5) | ($false != $false) | (sK5 = sK6) | ($false = (sK3 @ sK6 @ sK5)) | (spl0_50 | ~spl0_64)),
% 69.55/11.07 inference(superposition,[status(thm)],[f661,f724])).
% 69.55/11.07 thf(f661,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK5) != $false) | spl0_50),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f660])).
% 69.55/11.07 thf(f6292,plain,(
% 69.55/11.07 spl0_56 | spl0_134 | ~spl0_2 | ~spl0_64),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f6291,f723,f155,f3417,f686])).
% 69.55/11.07 thf(f6291,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK2) = $true) | ($false = (sK3 @ sK6 @ sK5)) | (~spl0_2 | ~spl0_64)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f6290,f95])).
% 69.55/11.07 thf(f6290,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK2) = $true) | (sK5 = sK6) | ($false = (sK3 @ sK6 @ sK5)) | (~spl0_2 | ~spl0_64)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f6289,f83])).
% 69.55/11.07 thf(f6289,plain,(
% 69.55/11.07 ($false = (sK3 @ sK6 @ sK5)) | (sK8 = sK2) | (sK5 = sK6) | ((sK3 @ sK8 @ sK2) = $true) | (~spl0_2 | ~spl0_64)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f6067,f286])).
% 69.55/11.07 thf(f6067,plain,(
% 69.55/11.07 ($false = (sK3 @ sK6 @ sK5)) | (sK8 = sK5) | (sK5 = sK6) | ((sK3 @ sK8 @ sK2) = $true) | (sK8 = sK2) | (~spl0_2 | ~spl0_64)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f6066])).
% 69.55/11.07 thf(f6066,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK2) = $true) | (sK8 = sK2) | (sK5 = sK6) | (sK8 = sK5) | ($false = $true) | ($false = (sK3 @ sK6 @ sK5)) | (~spl0_2 | ~spl0_64)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f6065])).
% 69.55/11.07 thf(f6065,plain,(
% 69.55/11.07 ($false = (sK3 @ sK6 @ sK5)) | (sK5 = sK6) | (sK8 = sK5) | ((sK3 @ sK8 @ sK2) = $true) | ((~ $false) = $false) | (sK8 = sK2) | (~spl0_2 | ~spl0_64)),
% 69.55/11.07 inference(duplicate_literal_removal,[status(thm)],[f6060])).
% 69.55/11.07 thf(f6060,plain,(
% 69.55/11.07 (sK8 = sK5) | (sK8 = sK5) | ((~ $false) = $false) | (sK8 = sK2) | (sK5 = sK6) | ($false = (sK3 @ sK6 @ sK5)) | ((sK3 @ sK8 @ sK2) = $true) | (~spl0_2 | ~spl0_64)),
% 69.55/11.07 inference(superposition,[status(thm)],[f5191,f724])).
% 69.55/11.07 thf(f5191,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK3 @ X0 @ sK5)) = $false) | ((sK3 @ X0 @ sK2) = $true) | (sK5 = X0) | (sK2 = X0)) ) | ~spl0_2),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f5190])).
% 69.55/11.07 thf(f5190,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK2 = X0) | ((sK3 @ X0 @ sK2) = $true) | ($false = $true) | ((~ (sK3 @ X0 @ sK5)) = $false) | (sK5 = X0)) ) | ~spl0_2),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f5185])).
% 69.55/11.07 thf(f5185,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ X0 @ sK2) = $true) | (sK5 = X0) | ((~ $false) = $false) | ((~ (sK3 @ X0 @ sK5)) = $false) | (sK2 = X0)) ) | ~spl0_2),
% 69.55/11.07 inference(superposition,[status(thm)],[f2355,f58])).
% 69.55/11.07 thf(f2355,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK3 @ sK2 @ X0)) = $false) | (sK2 = X0) | (sK5 = X0) | ((~ (sK3 @ X0 @ sK5)) = $false)) ) | ~spl0_2),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f2336,f77])).
% 69.55/11.07 thf(f2336,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK5 = sK2) | ((~ (sK3 @ X0 @ sK5)) = $false) | (sK2 = X0) | (sK5 = X0) | ((~ (sK3 @ sK2 @ X0)) = $false)) ) | ~spl0_2),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f2335])).
% 69.55/11.07 thf(f2335,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK3 @ sK2 @ X0)) = $false) | ($false = $true) | ((~ (sK3 @ X0 @ sK5)) = $false) | (sK5 = X0) | (sK2 = X0) | (sK5 = sK2)) ) | ~spl0_2),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f2218])).
% 69.55/11.07 thf(f2218,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK5 = sK2) | (sK5 = X0) | ((~ (sK3 @ X0 @ sK5)) = $false) | ((~ (sK3 @ sK2 @ X0)) = $false) | (sK2 = X0) | ((~ $false) = $false)) ) | ~spl0_2),
% 69.55/11.07 inference(superposition,[status(thm)],[f1795,f157])).
% 69.55/11.07 thf(f157,plain,(
% 69.55/11.07 ((sK3 @ sK2 @ sK5) = $false) | ~spl0_2),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f155])).
% 69.55/11.07 thf(f1795,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((~ (sK3 @ X2 @ X3)) = $false) | ((~ (sK3 @ X2 @ X1)) = $false) | ((~ (sK3 @ X1 @ X3)) = $false) | (X2 = X3) | (X1 = X2) | (X1 = X3)) )),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f1722])).
% 69.55/11.07 thf(f1722,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((X2 = X3) | ((~ (sK3 @ X1 @ X3)) = $false) | ((~ (sK3 @ X2 @ X3)) = $false) | ((~ (sK3 @ X2 @ X1)) = $false) | ((X2 = X1) = $true) | (X1 = X3)) )),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f1328])).
% 69.55/11.07 thf(f6245,plain,(
% 69.55/11.07 ~spl0_66 | ~spl0_148),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f6244])).
% 69.55/11.07 thf(f6244,plain,(
% 69.55/11.07 $false | (~spl0_66 | ~spl0_148)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f6243])).
% 69.55/11.07 thf(f6243,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_66 | ~spl0_148)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f6242])).
% 69.55/11.07 thf(f6242,plain,(
% 69.55/11.07 ((~ $false) = $false) | (~spl0_66 | ~spl0_148)),
% 69.55/11.07 inference(backward_demodulation,[status(thm)],[f4675,f734])).
% 69.55/11.07 thf(f734,plain,(
% 69.55/11.07 ($false = (sK3 @ sK6 @ sK4)) | ~spl0_66),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f732])).
% 69.55/11.07 thf(f732,definition,(
% 69.55/11.07 spl0_66 <=> ($false = (sK3 @ sK6 @ sK4))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_66])],[avatar_definition])).
% 69.55/11.07 thf(f4675,plain,(
% 69.55/11.07 ((~ (sK3 @ sK6 @ sK4)) = $false) | ~spl0_148),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f4673])).
% 69.55/11.07 thf(f4673,definition,(
% 69.55/11.07 spl0_148 <=> ((~ (sK3 @ sK6 @ sK4)) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_148])],[avatar_definition])).
% 69.55/11.07 thf(f6241,plain,(
% 69.55/11.07 spl0_31 | spl0_41 | ~spl0_60),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f6240,f707,f623,f331])).
% 69.55/11.07 thf(f623,definition,(
% 69.55/11.07 spl0_41 <=> ((sK3 @ sK7 @ sK2) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_41])],[avatar_definition])).
% 69.55/11.07 thf(f707,definition,(
% 69.55/11.07 spl0_60 <=> ! [X0 : $i] : (((sK3 @ sK4 @ X0) = $false) | (sK4 = X0) | (sK7 = X0) | ((sK3 @ sK7 @ X0) = $false))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_60])],[avatar_definition])).
% 69.55/11.07 thf(f6240,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK2) = $false) | (spl0_41 | ~spl0_60)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f6239,f79])).
% 69.55/11.07 thf(f6239,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK2) = $false) | (sK2 = sK7) | (spl0_41 | ~spl0_60)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f6137,f91])).
% 69.55/11.07 thf(f6137,plain,(
% 69.55/11.07 (sK4 = sK2) | (sK2 = sK7) | ((sK3 @ sK4 @ sK2) = $false) | (spl0_41 | ~spl0_60)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f6116])).
% 69.55/11.07 thf(f6116,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK2) = $false) | ($false != $false) | (sK2 = sK7) | (sK4 = sK2) | (spl0_41 | ~spl0_60)),
% 69.55/11.07 inference(superposition,[status(thm)],[f624,f708])).
% 69.55/11.07 thf(f708,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK7 @ X0) = $false) | (sK4 = X0) | ((sK3 @ sK4 @ X0) = $false) | (sK7 = X0)) ) | ~spl0_60),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f707])).
% 69.55/11.07 thf(f624,plain,(
% 69.55/11.07 ((sK3 @ sK7 @ sK2) != $false) | spl0_41),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f623])).
% 69.55/11.07 thf(f6221,plain,(
% 69.55/11.07 spl0_107 | ~spl0_47 | ~spl0_129),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f6192,f3247,f649,f2976])).
% 69.55/11.07 thf(f2976,definition,(
% 69.55/11.07 spl0_107 <=> ($false = (~ (sK3 @ sK2 @ sK4)))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_107])],[avatar_definition])).
% 69.55/11.07 thf(f649,definition,(
% 69.55/11.07 spl0_47 <=> ((sK3 @ sK8 @ sK4) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_47])],[avatar_definition])).
% 69.55/11.07 thf(f6192,plain,(
% 69.55/11.07 ($false = (~ (sK3 @ sK2 @ sK4))) | (~spl0_47 | ~spl0_129)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f6191,f93])).
% 69.55/11.07 thf(f6191,plain,(
% 69.55/11.07 ($false = (~ (sK3 @ sK2 @ sK4))) | (sK8 = sK4) | (~spl0_47 | ~spl0_129)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f6183,f91])).
% 69.55/11.07 thf(f6183,plain,(
% 69.55/11.07 ($false = (~ (sK3 @ sK2 @ sK4))) | (sK4 = sK2) | (sK8 = sK4) | (~spl0_47 | ~spl0_129)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f6182])).
% 69.55/11.07 thf(f6182,plain,(
% 69.55/11.07 (sK8 = sK4) | ($false = $true) | ($false = (~ (sK3 @ sK2 @ sK4))) | (sK4 = sK2) | (~spl0_47 | ~spl0_129)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f6151])).
% 69.55/11.07 thf(f6151,plain,(
% 69.55/11.07 (sK4 = sK2) | ((~ $false) = $false) | (sK8 = sK4) | ($false = (~ (sK3 @ sK2 @ sK4))) | (~spl0_47 | ~spl0_129)),
% 69.55/11.07 inference(superposition,[status(thm)],[f3248,f651])).
% 69.55/11.07 thf(f651,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK4) = $false) | ~spl0_47),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f649])).
% 69.55/11.07 thf(f6215,plain,(
% 69.55/11.07 spl0_18 | spl0_17 | spl0_32),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f1071,f335,f218,f221])).
% 69.55/11.07 thf(f221,definition,(
% 69.55/11.07 spl0_18 <=> ((sK3 @ sK2 @ sK4) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_18])],[avatar_definition])).
% 69.55/11.07 thf(f218,definition,(
% 69.55/11.07 spl0_17 <=> ! [X0 : $i] : (((sK3 @ sK2 @ X0) = $false) | ((~ (sK2 = X0)) = $false) | ((sK3 @ X0 @ sK4) = $false) | ((~ (sK4 = X0)) = $false))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_17])],[avatar_definition])).
% 69.55/11.07 thf(f335,definition,(
% 69.55/11.07 spl0_32 <=> ((~ (sK4 = sK2)) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_32])],[avatar_definition])).
% 69.55/11.07 thf(f1071,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK2 @ X0) = $false) | ((sK3 @ X0 @ sK4) = $false) | ((~ (sK4 = X0)) = $false) | ((sK3 @ sK2 @ sK4) = $false) | ((~ (sK2 = X0)) = $false)) ) | spl0_32),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f1061])).
% 69.55/11.07 thf(f1061,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ X0 @ sK4) = $false) | ((sK3 @ sK2 @ X0) = $false) | ((~ (sK4 = X0)) = $false) | ((sK3 @ sK2 @ sK4) = $false) | ((~ (sK2 = X0)) = $false) | ($false != $false)) ) | spl0_32),
% 69.55/11.07 inference(superposition,[status(thm)],[f336,f73])).
% 69.55/11.07 thf(f336,plain,(
% 69.55/11.07 ((~ (sK4 = sK2)) != $false) | spl0_32),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f335])).
% 69.55/11.07 thf(f6211,plain,(
% 69.55/11.07 spl0_107 | ~spl0_34 | ~spl0_45 | ~spl0_68 | ~spl0_129),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f6206,f3247,f744,f641,f421,f2976])).
% 69.55/11.07 thf(f421,definition,(
% 69.55/11.07 spl0_34 <=> ! [X0 : $i] : ((sK5 = X0) | ((~ (X0 = sK4)) = $false) | ((sK3 @ X0 @ sK5) = $false) | ((sK3 @ X0 @ sK4) = $false))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_34])],[avatar_definition])).
% 69.55/11.07 thf(f6206,plain,(
% 69.55/11.07 ($false = (~ (sK3 @ sK2 @ sK4))) | (~spl0_34 | ~spl0_45 | ~spl0_68 | ~spl0_129)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f6205])).
% 69.55/11.07 thf(f6205,plain,(
% 69.55/11.07 ($false = (~ (sK3 @ sK2 @ sK4))) | ($false = $true) | (~spl0_34 | ~spl0_45 | ~spl0_68 | ~spl0_129)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f6204,f746])).
% 69.55/11.07 thf(f6204,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK2) = $true) | ($false = (~ (sK3 @ sK2 @ sK4))) | (~spl0_34 | ~spl0_45 | ~spl0_129)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f6203,f91])).
% 69.55/11.07 thf(f6203,plain,(
% 69.55/11.07 (sK4 = sK2) | ($false = (~ (sK3 @ sK2 @ sK4))) | ((sK3 @ sK8 @ sK2) = $true) | (~spl0_34 | ~spl0_45 | ~spl0_129)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f6202,f286])).
% 69.55/11.07 thf(f6202,plain,(
% 69.55/11.07 (sK8 = sK5) | ((sK3 @ sK8 @ sK2) = $true) | ($false = (~ (sK3 @ sK2 @ sK4))) | (sK4 = sK2) | (~spl0_34 | ~spl0_45 | ~spl0_129)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f6201,f93])).
% 69.55/11.07 thf(f6201,plain,(
% 69.55/11.07 (sK8 = sK4) | ($false = (~ (sK3 @ sK2 @ sK4))) | ((sK3 @ sK8 @ sK2) = $true) | (sK8 = sK5) | (sK4 = sK2) | (~spl0_34 | ~spl0_45 | ~spl0_129)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f6163,f83])).
% 69.55/11.07 thf(f6163,plain,(
% 69.55/11.07 ($false = (~ (sK3 @ sK2 @ sK4))) | (sK8 = sK2) | (sK8 = sK4) | (sK8 = sK5) | (sK4 = sK2) | ((sK3 @ sK8 @ sK2) = $true) | (~spl0_34 | ~spl0_45 | ~spl0_129)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f6162])).
% 69.55/11.07 thf(f6162,plain,(
% 69.55/11.07 ($false = $true) | ((sK3 @ sK8 @ sK2) = $true) | (sK8 = sK2) | ($false = (~ (sK3 @ sK2 @ sK4))) | (sK8 = sK4) | (sK8 = sK5) | (sK4 = sK2) | (~spl0_34 | ~spl0_45 | ~spl0_129)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f6161])).
% 69.55/11.07 thf(f6161,plain,(
% 69.55/11.07 (sK8 = sK5) | (sK8 = sK4) | ((sK3 @ sK8 @ sK2) = $true) | ($false = (~ (sK3 @ sK2 @ sK4))) | ((~ $false) = $false) | (sK8 = sK2) | (sK4 = sK2) | (~spl0_34 | ~spl0_45 | ~spl0_129)),
% 69.55/11.07 inference(duplicate_literal_removal,[status(thm)],[f6157])).
% 69.55/11.07 thf(f6157,plain,(
% 69.55/11.07 (sK8 = sK5) | (sK4 = sK2) | (sK8 = sK2) | ($false = (~ (sK3 @ sK2 @ sK4))) | (sK8 = sK4) | ((~ $false) = $false) | (sK8 = sK4) | ((sK3 @ sK8 @ sK2) = $true) | (~spl0_34 | ~spl0_45 | ~spl0_129)),
% 69.55/11.07 inference(superposition,[status(thm)],[f3248,f2626])).
% 69.55/11.07 thf(f2626,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ X0 @ sK4) = $false) | (sK2 = X0) | (sK5 = X0) | (sK4 = X0) | ((sK3 @ X0 @ sK2) = $true)) ) | (~spl0_34 | ~spl0_45)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f2625])).
% 69.55/11.07 thf(f2625,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK4 = X0) | (sK5 = X0) | ($false = $true) | (sK2 = X0) | ((sK3 @ X0 @ sK2) = $true) | ((sK3 @ X0 @ sK4) = $false)) ) | (~spl0_34 | ~spl0_45)),
% 69.55/11.07 inference(duplicate_literal_removal,[status(thm)],[f2549])).
% 69.55/11.07 thf(f2549,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK4 = X0) | (sK2 = X0) | (sK5 = X0) | ((sK3 @ X0 @ sK4) = $false) | ((sK3 @ X0 @ sK2) = $true) | (sK5 = X0) | ($false = $true)) ) | (~spl0_34 | ~spl0_45)),
% 69.55/11.07 inference(superposition,[status(thm)],[f2513,f1383])).
% 69.55/11.07 thf(f1383,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ X0 @ sK5) = $false) | (sK4 = X0) | (sK5 = X0) | ((sK3 @ X0 @ sK4) = $false)) ) | ~spl0_34),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f1366])).
% 69.55/11.07 thf(f1366,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ X0 @ sK5) = $false) | (sK5 = X0) | ((sK3 @ X0 @ sK4) = $false) | ((X0 = sK4) = $true)) ) | ~spl0_34),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f422])).
% 69.55/11.07 thf(f422,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (X0 = sK4)) = $false) | ((sK3 @ X0 @ sK5) = $false) | ((sK3 @ X0 @ sK4) = $false) | (sK5 = X0)) ) | ~spl0_34),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f421])).
% 69.55/11.07 thf(f2513,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ X0 @ sK5) = $true) | (sK2 = X0) | ((sK3 @ X0 @ sK2) = $true) | (sK5 = X0)) ) | ~spl0_45),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f2493])).
% 69.55/11.07 thf(f2493,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ X0 @ sK5) = $true) | (sK5 = X0) | ($false = $true) | ((sK3 @ X0 @ sK2) = $true) | (sK2 = X0)) ) | ~spl0_45),
% 69.55/11.07 inference(superposition,[status(thm)],[f58,f2426])).
% 69.55/11.07 thf(f2426,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK5 @ X0) = $true) | (sK2 = X0) | ((sK3 @ X0 @ sK2) = $true) | (sK5 = X0)) ) | ~spl0_45),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f2425])).
% 69.55/11.07 thf(f2425,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK5 = X0) | (sK2 = X0) | ((sK3 @ X0 @ sK2) = $true) | ((sK3 @ sK5 @ X0) = $true) | ($false = $true)) ) | ~spl0_45),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f2423])).
% 69.55/11.07 thf(f2423,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ X0 @ sK2) = $true) | (sK5 = X0) | ((sK3 @ sK5 @ X0) = $true) | (sK2 = X0) | ((~ $false) = $false)) ) | ~spl0_45),
% 69.55/11.07 inference(superposition,[status(thm)],[f2085,f58])).
% 69.55/11.07 thf(f2085,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK3 @ sK2 @ X0)) = $false) | (sK5 = X0) | (sK2 = X0) | ((sK3 @ sK5 @ X0) = $true)) ) | ~spl0_45),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f1849])).
% 69.55/11.07 thf(f1849,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK3 @ sK5 @ X0)) = $false) | (sK5 = X0) | ((~ (sK3 @ sK2 @ X0)) = $false) | (sK2 = X0)) ) | ~spl0_45),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f1848])).
% 69.55/11.07 thf(f1848,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (($false = $true) | (sK5 = X0) | ((~ (sK3 @ sK2 @ X0)) = $false) | ((~ (sK3 @ sK5 @ X0)) = $false) | (sK2 = X0)) ) | ~spl0_45),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f1847])).
% 69.55/11.07 thf(f1847,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK3 @ sK2 @ X0)) = $false) | (sK2 = X0) | (sK5 = X0) | ((~ (sK3 @ sK5 @ X0)) = $false) | ((~ $false) = $false)) ) | ~spl0_45),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f1762,f643])).
% 69.55/11.07 thf(f643,plain,(
% 69.55/11.07 ((sK3 @ sK5 @ sK2) = $false) | ~spl0_45),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f641])).
% 69.55/11.07 thf(f1762,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK5 = X0) | (sK2 = X0) | ((~ (sK3 @ sK5 @ sK2)) = $false) | ((~ (sK3 @ sK5 @ X0)) = $false) | ((~ (sK3 @ sK2 @ X0)) = $false)) )),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f1724])).
% 69.55/11.07 thf(f1724,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK3 @ sK5 @ X0)) = $false) | ((~ (sK3 @ sK2 @ X0)) = $false) | ($false = $true) | (sK5 = X0) | ((~ (sK3 @ sK5 @ sK2)) = $false) | (sK2 = X0)) )),
% 69.55/11.07 inference(superposition,[status(thm)],[f1328,f26])).
% 69.55/11.07 thf(f6196,plain,(
% 69.55/11.07 ~spl0_18 | ~spl0_47 | ~spl0_129),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f6195])).
% 69.55/11.07 thf(f6195,plain,(
% 69.55/11.07 $false | (~spl0_18 | ~spl0_47 | ~spl0_129)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f6194])).
% 69.55/11.07 thf(f6194,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_18 | ~spl0_47 | ~spl0_129)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f6193])).
% 69.55/11.07 thf(f6193,plain,(
% 69.55/11.07 ((~ $false) = $false) | (~spl0_18 | ~spl0_47 | ~spl0_129)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f6192,f223])).
% 69.55/11.07 thf(f223,plain,(
% 69.55/11.07 ((sK3 @ sK2 @ sK4) = $false) | ~spl0_18),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f221])).
% 69.55/11.07 thf(f6011,plain,(
% 69.55/11.07 spl0_59 | spl0_125),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f6010])).
% 69.55/11.07 thf(f6010,plain,(
% 69.55/11.07 $false | (spl0_59 | spl0_125)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f6009])).
% 69.55/11.07 thf(f6009,plain,(
% 69.55/11.07 ($false != $false) | (spl0_59 | spl0_125)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f6008])).
% 69.55/11.07 thf(f6008,plain,(
% 69.55/11.07 ((~ $true) != $false) | (spl0_59 | spl0_125)),
% 69.55/11.07 inference(backward_demodulation,[status(thm)],[f3231,f6000])).
% 69.55/11.07 thf(f6000,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK7) = $true) | spl0_59),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f5998])).
% 69.55/11.07 thf(f5998,plain,(
% 69.55/11.07 ($false != $false) | ((sK3 @ sK4 @ sK7) = $true) | spl0_59),
% 69.55/11.07 inference(superposition,[status(thm)],[f704,f58])).
% 69.55/11.07 thf(f3231,plain,(
% 69.55/11.07 ((~ (sK3 @ sK4 @ sK7)) != $false) | spl0_125),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f3230])).
% 69.55/11.07 thf(f3230,definition,(
% 69.55/11.07 spl0_125 <=> ((~ (sK3 @ sK4 @ sK7)) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_125])],[avatar_definition])).
% 69.55/11.07 thf(f5979,plain,(
% 69.55/11.07 spl0_60 | spl0_30),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f5978,f305,f707])).
% 69.55/11.07 thf(f5978,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK4 = X0) | ((sK3 @ sK4 @ X0) = $false) | ((sK3 @ sK7 @ X0) = $false) | (sK7 = X0)) ) | spl0_30),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f5970,f310])).
% 69.55/11.07 thf(f5970,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK4 = X0) | ((sK3 @ sK4 @ X0) = $false) | ((sK3 @ sK7 @ X0) = $false) | (sK4 = sK7) | (sK7 = X0)) ) | spl0_30),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f5968])).
% 69.55/11.07 thf(f5968,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK4 @ X0) = $false) | (sK7 = X0) | ((sK3 @ sK7 @ X0) = $false) | (sK4 = sK7) | ($false != $false) | (sK4 = X0)) ) | spl0_30),
% 69.55/11.07 inference(superposition,[status(thm)],[f306,f680])).
% 69.55/11.07 thf(f5977,plain,(
% 69.55/11.07 spl0_30 | ~spl0_59),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f5976])).
% 69.55/11.07 thf(f5976,plain,(
% 69.55/11.07 $false | (spl0_30 | ~spl0_59)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f5975])).
% 69.55/11.07 thf(f5975,plain,(
% 69.55/11.07 ($false = $true) | (spl0_30 | ~spl0_59)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f5973,f705])).
% 69.55/11.07 thf(f705,plain,(
% 69.55/11.07 ($false = (sK3 @ sK7 @ sK4)) | ~spl0_59),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f703])).
% 69.55/11.07 thf(f5973,plain,(
% 69.55/11.07 ((sK3 @ sK7 @ sK4) = $true) | spl0_30),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f5969])).
% 69.55/11.07 thf(f5969,plain,(
% 69.55/11.07 ($false != $false) | ((sK3 @ sK7 @ sK4) = $true) | spl0_30),
% 69.55/11.07 inference(superposition,[status(thm)],[f306,f58])).
% 69.55/11.07 thf(f5762,plain,(
% 69.55/11.07 ~spl0_20 | ~spl0_102),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f5761])).
% 69.55/11.07 thf(f5761,plain,(
% 69.55/11.07 $false | (~spl0_20 | ~spl0_102)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f5760])).
% 69.55/11.07 thf(f5760,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_20 | ~spl0_102)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f5759])).
% 69.55/11.07 thf(f5759,plain,(
% 69.55/11.07 ((~ $false) = $false) | (~spl0_20 | ~spl0_102)),
% 69.55/11.07 inference(backward_demodulation,[status(thm)],[f2925,f237])).
% 69.55/11.07 thf(f237,plain,(
% 69.55/11.07 ($false = (sK3 @ sK2 @ sK8)) | ~spl0_20),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f235])).
% 69.55/11.07 thf(f2925,plain,(
% 69.55/11.07 ((~ (sK3 @ sK2 @ sK8)) = $false) | ~spl0_102),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f2923])).
% 69.55/11.07 thf(f5758,plain,(
% 69.55/11.07 ~spl0_62 | ~spl0_84),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f5757])).
% 69.55/11.07 thf(f5757,plain,(
% 69.55/11.07 $false | (~spl0_62 | ~spl0_84)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f5756])).
% 69.55/11.07 thf(f5756,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_62 | ~spl0_84)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f5755])).
% 69.55/11.07 thf(f5755,plain,(
% 69.55/11.07 ((~ $false) = $false) | (~spl0_62 | ~spl0_84)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f1824,f716])).
% 69.55/11.07 thf(f716,plain,(
% 69.55/11.07 ($false = (sK3 @ sK8 @ sK7)) | ~spl0_62),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f714])).
% 69.55/11.07 thf(f1824,plain,(
% 69.55/11.07 ((~ (sK3 @ sK8 @ sK7)) = $false) | ~spl0_84),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f1822])).
% 69.55/11.07 thf(f5748,plain,(
% 69.55/11.07 ~spl0_58 | ~spl0_63 | ~spl0_83),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f5747])).
% 69.55/11.07 thf(f5747,plain,(
% 69.55/11.07 $false | (~spl0_58 | ~spl0_63 | ~spl0_83)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f5746])).
% 69.55/11.07 thf(f5746,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_58 | ~spl0_63 | ~spl0_83)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f5745])).
% 69.55/11.07 thf(f5745,plain,(
% 69.55/11.07 ((~ $false) = $false) | (~spl0_58 | ~spl0_63 | ~spl0_83)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f5744,f699])).
% 69.55/11.07 thf(f5744,plain,(
% 69.55/11.07 ($false = (~ (sK3 @ sK7 @ sK6))) | (~spl0_63 | ~spl0_83)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f5743,f89])).
% 69.55/11.07 thf(f5743,plain,(
% 69.55/11.07 ($false = (~ (sK3 @ sK7 @ sK6))) | (sK8 = sK6) | (~spl0_63 | ~spl0_83)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f5708,f279])).
% 69.55/11.07 thf(f5708,plain,(
% 69.55/11.07 (sK6 = sK7) | ($false = (~ (sK3 @ sK7 @ sK6))) | (sK8 = sK6) | (~spl0_63 | ~spl0_83)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f5707])).
% 69.55/11.07 thf(f5707,plain,(
% 69.55/11.07 ($false = (~ (sK3 @ sK7 @ sK6))) | (sK6 = sK7) | (sK8 = sK6) | ($false = $true) | (~spl0_63 | ~spl0_83)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f5693])).
% 69.55/11.07 thf(f5693,plain,(
% 69.55/11.07 (sK8 = sK6) | ($false = (~ (sK3 @ sK7 @ sK6))) | ((~ $false) = $false) | (sK6 = sK7) | (~spl0_63 | ~spl0_83)),
% 69.55/11.07 inference(superposition,[status(thm)],[f1820,f721])).
% 69.55/11.07 thf(f1820,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (($false = (~ (sK3 @ sK8 @ X0))) | (sK7 = X0) | ((~ (sK3 @ sK7 @ X0)) = $false) | (sK8 = X0)) ) | ~spl0_83),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f1819])).
% 69.55/11.07 thf(f1819,definition,(
% 69.55/11.07 spl0_83 <=> ! [X0 : $i] : ((sK8 = X0) | ($false = (~ (sK3 @ sK8 @ X0))) | ((~ (sK3 @ sK7 @ X0)) = $false) | (sK7 = X0))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_83])],[avatar_definition])).
% 69.55/11.07 thf(f5738,plain,(
% 69.55/11.07 spl0_47 | ~spl0_58 | ~spl0_71 | ~spl0_83),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f5737])).
% 69.55/11.07 thf(f5737,plain,(
% 69.55/11.07 $false | (spl0_47 | ~spl0_58 | ~spl0_71 | ~spl0_83)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f5736])).
% 69.55/11.07 thf(f5736,plain,(
% 69.55/11.07 ($false = $true) | (spl0_47 | ~spl0_58 | ~spl0_71 | ~spl0_83)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f5735])).
% 69.55/11.07 thf(f5735,plain,(
% 69.55/11.07 ((~ $false) = $false) | (spl0_47 | ~spl0_58 | ~spl0_71 | ~spl0_83)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f5734,f699])).
% 69.55/11.07 thf(f5734,plain,(
% 69.55/11.07 ($false = (~ (sK3 @ sK7 @ sK6))) | (spl0_47 | ~spl0_71 | ~spl0_83)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f5733,f650])).
% 69.55/11.07 thf(f650,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK4) != $false) | spl0_47),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f649])).
% 69.55/11.07 thf(f5733,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK4) = $false) | ($false = (~ (sK3 @ sK7 @ sK6))) | (~spl0_71 | ~spl0_83)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f5732,f279])).
% 69.55/11.07 thf(f5732,plain,(
% 69.55/11.07 (sK6 = sK7) | ($false = (~ (sK3 @ sK7 @ sK6))) | ((sK3 @ sK8 @ sK4) = $false) | (~spl0_71 | ~spl0_83)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f5731,f93])).
% 69.55/11.07 thf(f5731,plain,(
% 69.55/11.07 ($false = (~ (sK3 @ sK7 @ sK6))) | (sK8 = sK4) | ((sK3 @ sK8 @ sK4) = $false) | (sK6 = sK7) | (~spl0_71 | ~spl0_83)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f5720,f89])).
% 69.55/11.07 thf(f5720,plain,(
% 69.55/11.07 (sK8 = sK6) | ((sK3 @ sK8 @ sK4) = $false) | (sK6 = sK7) | ($false = (~ (sK3 @ sK7 @ sK6))) | (sK8 = sK4) | (~spl0_71 | ~spl0_83)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f5719])).
% 69.55/11.07 thf(f5719,plain,(
% 69.55/11.07 (sK8 = sK6) | (sK8 = sK4) | ($false = (~ (sK3 @ sK7 @ sK6))) | ((sK3 @ sK8 @ sK4) = $false) | ($false = $true) | (sK6 = sK7) | (~spl0_71 | ~spl0_83)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f5718])).
% 69.55/11.07 thf(f5718,plain,(
% 69.55/11.07 ((~ $false) = $false) | (sK8 = sK4) | (sK6 = sK7) | ((sK3 @ sK8 @ sK4) = $false) | ($false = (~ (sK3 @ sK7 @ sK6))) | (sK8 = sK6) | (~spl0_71 | ~spl0_83)),
% 69.55/11.07 inference(duplicate_literal_removal,[status(thm)],[f5700])).
% 69.55/11.07 thf(f5700,plain,(
% 69.55/11.07 (sK8 = sK6) | ((sK3 @ sK8 @ sK4) = $false) | (sK6 = sK7) | (sK8 = sK6) | (sK8 = sK4) | ((~ $false) = $false) | ($false = (~ (sK3 @ sK7 @ sK6))) | (~spl0_71 | ~spl0_83)),
% 69.55/11.07 inference(superposition,[status(thm)],[f1820,f5398])).
% 69.55/11.07 thf(f5398,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ X0 @ sK6) = $false) | (sK4 = X0) | (sK6 = X0) | ((sK3 @ X0 @ sK4) = $false)) ) | ~spl0_71),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f5383])).
% 69.55/11.07 thf(f5383,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK6 = X0) | ((sK3 @ X0 @ sK4) = $false) | ((X0 = sK4) = $true) | ((sK3 @ X0 @ sK6) = $false)) ) | ~spl0_71),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f984])).
% 69.55/11.07 thf(f5676,plain,(
% 69.55/11.07 ~spl0_31 | ~spl0_45 | ~spl0_91),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f5675])).
% 69.55/11.07 thf(f5675,plain,(
% 69.55/11.07 $false | (~spl0_31 | ~spl0_45 | ~spl0_91)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f5674])).
% 69.55/11.07 thf(f5674,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_31 | ~spl0_45 | ~spl0_91)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f5673])).
% 69.55/11.07 thf(f5673,plain,(
% 69.55/11.07 ((~ $false) = $false) | (~spl0_31 | ~spl0_45 | ~spl0_91)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f5672,f333])).
% 69.55/11.07 thf(f5672,plain,(
% 69.55/11.07 ((~ (sK3 @ sK4 @ sK2)) = $false) | (~spl0_45 | ~spl0_91)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f5671,f77])).
% 69.55/11.07 thf(f5671,plain,(
% 69.55/11.07 (sK5 = sK2) | ((~ (sK3 @ sK4 @ sK2)) = $false) | (~spl0_45 | ~spl0_91)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f5646,f91])).
% 69.55/11.07 thf(f5646,plain,(
% 69.55/11.07 ((~ (sK3 @ sK4 @ sK2)) = $false) | (sK4 = sK2) | (sK5 = sK2) | (~spl0_45 | ~spl0_91)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f5645])).
% 69.55/11.07 thf(f5645,plain,(
% 69.55/11.07 (sK4 = sK2) | ((~ (sK3 @ sK4 @ sK2)) = $false) | ($false = $true) | (sK5 = sK2) | (~spl0_45 | ~spl0_91)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f5630])).
% 69.55/11.07 thf(f5630,plain,(
% 69.55/11.07 (sK4 = sK2) | ((~ $false) = $false) | (sK5 = sK2) | ((~ (sK3 @ sK4 @ sK2)) = $false) | (~spl0_45 | ~spl0_91)),
% 69.55/11.07 inference(superposition,[status(thm)],[f1951,f643])).
% 69.55/11.07 thf(f5086,plain,(
% 69.55/11.07 spl0_16 | spl0_23 | ~spl0_60),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f5085])).
% 69.55/11.07 thf(f5085,plain,(
% 69.55/11.07 $false | (spl0_16 | spl0_23 | ~spl0_60)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f5084,f214])).
% 69.55/11.07 thf(f214,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK5) != $false) | spl0_16),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f213])).
% 69.55/11.07 thf(f5084,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK5) = $false) | (spl0_23 | ~spl0_60)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f5083,f265])).
% 69.55/11.07 thf(f5083,plain,(
% 69.55/11.07 (sK5 = sK7) | ((sK3 @ sK4 @ sK5) = $false) | (spl0_23 | ~spl0_60)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f5067,f81])).
% 69.55/11.07 thf(f5067,plain,(
% 69.55/11.07 (sK5 = sK4) | ((sK3 @ sK4 @ sK5) = $false) | (sK5 = sK7) | (spl0_23 | ~spl0_60)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f5062])).
% 69.55/11.07 thf(f5062,plain,(
% 69.55/11.07 ($false = $true) | (sK5 = sK4) | (sK5 = sK7) | ((sK3 @ sK4 @ sK5) = $false) | (spl0_23 | ~spl0_60)),
% 69.55/11.07 inference(superposition,[status(thm)],[f4836,f708])).
% 69.55/11.07 thf(f4836,plain,(
% 69.55/11.07 ((sK3 @ sK7 @ sK5) = $true) | spl0_23),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4834])).
% 69.55/11.07 thf(f4834,plain,(
% 69.55/11.07 ($false != $false) | ((sK3 @ sK7 @ sK5) = $true) | spl0_23),
% 69.55/11.07 inference(superposition,[status(thm)],[f258,f58])).
% 69.55/11.07 thf(f5015,plain,(
% 69.55/11.07 spl0_41 | ~spl0_61 | spl0_68),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f5014])).
% 69.55/11.07 thf(f5014,plain,(
% 69.55/11.07 $false | (spl0_41 | ~spl0_61 | spl0_68)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f5013,f79])).
% 69.55/11.07 thf(f5013,plain,(
% 69.55/11.07 (sK2 = sK7) | (spl0_41 | ~spl0_61 | spl0_68)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f5012,f624])).
% 69.55/11.07 thf(f5012,plain,(
% 69.55/11.07 ((sK3 @ sK7 @ sK2) = $false) | (sK2 = sK7) | (~spl0_61 | spl0_68)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4994,f83])).
% 69.55/11.07 thf(f4994,plain,(
% 69.55/11.07 (sK8 = sK2) | ((sK3 @ sK7 @ sK2) = $false) | (sK2 = sK7) | (~spl0_61 | spl0_68)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4990])).
% 69.55/11.07 thf(f4990,plain,(
% 69.55/11.07 (sK2 = sK7) | ($false != $false) | ((sK3 @ sK7 @ sK2) = $false) | (sK8 = sK2) | (~spl0_61 | spl0_68)),
% 69.55/11.07 inference(superposition,[status(thm)],[f745,f712])).
% 69.55/11.07 thf(f712,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK8 @ X0) = $false) | ((sK3 @ sK7 @ X0) = $false) | (sK7 = X0) | (sK8 = X0)) ) | ~spl0_61),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f711])).
% 69.55/11.07 thf(f711,definition,(
% 69.55/11.07 spl0_61 <=> ! [X0 : $i] : (((sK3 @ sK8 @ X0) = $false) | (sK7 = X0) | ((sK3 @ sK7 @ X0) = $false) | (sK8 = X0))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_61])],[avatar_definition])).
% 69.55/11.07 thf(f5011,plain,(
% 69.55/11.07 spl0_41 | ~spl0_61 | ~spl0_134),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f5010])).
% 69.55/11.07 thf(f5010,plain,(
% 69.55/11.07 $false | (spl0_41 | ~spl0_61 | ~spl0_134)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f5009,f79])).
% 69.55/11.07 thf(f5009,plain,(
% 69.55/11.07 (sK2 = sK7) | (spl0_41 | ~spl0_61 | ~spl0_134)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f5008,f624])).
% 69.55/11.07 thf(f5008,plain,(
% 69.55/11.07 ((sK3 @ sK7 @ sK2) = $false) | (sK2 = sK7) | (~spl0_61 | ~spl0_134)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4996,f83])).
% 69.55/11.07 thf(f4996,plain,(
% 69.55/11.07 (sK8 = sK2) | (sK2 = sK7) | ((sK3 @ sK7 @ sK2) = $false) | (~spl0_61 | ~spl0_134)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4986])).
% 69.55/11.07 thf(f4986,plain,(
% 69.55/11.07 (sK8 = sK2) | ($false = $true) | ((sK3 @ sK7 @ sK2) = $false) | (sK2 = sK7) | (~spl0_61 | ~spl0_134)),
% 69.55/11.07 inference(superposition,[status(thm)],[f712,f3419])).
% 69.55/11.07 thf(f4686,plain,(
% 69.55/11.07 spl0_111 | spl0_69),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f1274,f975,f3022])).
% 69.55/11.07 thf(f3022,definition,(
% 69.55/11.07 spl0_111 <=> ! [X0 : $i] : (((~ (sK3 @ X0 @ sK6)) = $false) | ((~ (sK3 @ X0 @ sK4)) = $false) | (sK6 = X0) | ((~ (X0 = sK4)) = $false))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_111])],[avatar_definition])).
% 69.55/11.07 thf(f975,definition,(
% 69.55/11.07 spl0_69 <=> ((~ (sK3 @ sK4 @ sK6)) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_69])],[avatar_definition])).
% 69.55/11.07 thf(f1274,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK3 @ X0 @ sK6)) = $false) | ((~ (sK3 @ X0 @ sK4)) = $false) | ((~ (sK3 @ sK4 @ sK6)) = $false) | (sK6 = X0) | ((~ (X0 = sK4)) = $false)) )),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f1251])).
% 69.55/11.07 thf(f1251,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK3 @ sK4 @ sK6)) = $false) | (sK6 = X0) | ((~ (X0 = sK4)) = $false) | ($false = $true) | ((~ (sK3 @ X0 @ sK4)) = $false) | ((~ (sK3 @ X0 @ sK6)) = $false)) )),
% 69.55/11.07 inference(superposition,[status(thm)],[f24,f865])).
% 69.55/11.07 thf(f4677,plain,(
% 69.55/11.07 spl0_148 | spl0_147),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f1783,f4670,f4673])).
% 69.55/11.07 thf(f1783,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK3 @ sK6 @ sK4)) = $false) | ((~ (sK3 @ sK6 @ X0)) = $false) | (sK6 = X0) | (sK4 = X0) | ((~ (sK3 @ sK4 @ X0)) = $false)) )),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f1723])).
% 69.55/11.07 thf(f1723,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK4 = X0) | ((~ (sK3 @ sK6 @ sK4)) = $false) | (sK6 = X0) | ((~ (sK3 @ sK4 @ X0)) = $false) | ((~ (sK3 @ sK6 @ X0)) = $false) | ($false = $true)) )),
% 69.55/11.07 inference(superposition,[status(thm)],[f1328,f24])).
% 69.55/11.07 thf(f4644,plain,(
% 69.55/11.07 spl0_31 | spl0_44 | spl0_32),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f1066,f335,f636,f331])).
% 69.55/11.07 thf(f1066,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK4 = X0) | ((sK3 @ sK4 @ sK2) = $false) | ((sK3 @ sK2 @ X0) = $false) | ((sK3 @ sK4 @ X0) = $false) | (sK2 = X0)) ) | spl0_32),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f1064])).
% 69.55/11.07 thf(f1064,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK4 @ X0) = $false) | ((sK3 @ sK4 @ sK2) = $false) | ((sK3 @ sK2 @ X0) = $false) | (sK4 = X0) | (sK2 = X0) | ($false != $false)) ) | spl0_32),
% 69.55/11.07 inference(superposition,[status(thm)],[f336,f444])).
% 69.55/11.07 thf(f4636,plain,(
% 69.55/11.07 ~spl0_18 | ~spl0_107),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f4635])).
% 69.55/11.07 thf(f4635,plain,(
% 69.55/11.07 $false | (~spl0_18 | ~spl0_107)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4634])).
% 69.55/11.07 thf(f4634,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_18 | ~spl0_107)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f4633])).
% 69.55/11.07 thf(f4633,plain,(
% 69.55/11.07 ((~ $false) = $false) | (~spl0_18 | ~spl0_107)),
% 69.55/11.07 inference(backward_demodulation,[status(thm)],[f2978,f223])).
% 69.55/11.07 thf(f2978,plain,(
% 69.55/11.07 ($false = (~ (sK3 @ sK2 @ sK4))) | ~spl0_107),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f2976])).
% 69.55/11.07 thf(f4620,plain,(
% 69.55/11.07 ~spl0_68 | ~spl0_134),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f4619])).
% 69.55/11.07 thf(f4619,plain,(
% 69.55/11.07 $false | (~spl0_68 | ~spl0_134)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4618])).
% 69.55/11.07 thf(f4618,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_68 | ~spl0_134)),
% 69.55/11.07 inference(backward_demodulation,[status(thm)],[f3419,f746])).
% 69.55/11.07 thf(f4613,plain,(
% 69.55/11.07 spl0_7 | spl0_62 | ~spl0_67),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f4612])).
% 69.55/11.07 thf(f4612,plain,(
% 69.55/11.07 $false | (spl0_7 | spl0_62 | ~spl0_67)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4611,f79])).
% 69.55/11.07 thf(f4611,plain,(
% 69.55/11.07 (sK2 = sK7) | (spl0_7 | spl0_62 | ~spl0_67)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4610,f85])).
% 69.55/11.07 thf(f4610,plain,(
% 69.55/11.07 (sK8 = sK7) | (sK2 = sK7) | (spl0_7 | spl0_62 | ~spl0_67)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4609,f178])).
% 69.55/11.07 thf(f4609,plain,(
% 69.55/11.07 ($false = (sK3 @ sK2 @ sK7)) | (sK8 = sK7) | (sK2 = sK7) | (spl0_62 | ~spl0_67)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4604])).
% 69.55/11.07 thf(f4604,plain,(
% 69.55/11.07 (sK8 = sK7) | (sK2 = sK7) | ($false = (sK3 @ sK2 @ sK7)) | ($false != $false) | (spl0_62 | ~spl0_67)),
% 69.55/11.07 inference(superposition,[status(thm)],[f715,f742])).
% 69.55/11.07 thf(f742,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK8 @ X0) = $false) | ((sK3 @ sK2 @ X0) = $false) | (sK8 = X0) | (sK2 = X0)) ) | ~spl0_67),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f741])).
% 69.55/11.07 thf(f741,definition,(
% 69.55/11.07 spl0_67 <=> ! [X0 : $i] : ((sK2 = X0) | ((sK3 @ sK8 @ X0) = $false) | (sK8 = X0) | ((sK3 @ sK2 @ X0) = $false))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_67])],[avatar_definition])).
% 69.55/11.07 thf(f4590,plain,(
% 69.55/11.07 ~spl0_59 | ~spl0_111 | spl0_113),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f4589])).
% 69.55/11.07 thf(f4589,plain,(
% 69.55/11.07 $false | (~spl0_59 | ~spl0_111 | spl0_113)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4588])).
% 69.55/11.07 thf(f4588,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_59 | ~spl0_111 | spl0_113)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f4587])).
% 69.55/11.07 thf(f4587,plain,(
% 69.55/11.07 ((~ $false) = $false) | (~spl0_59 | ~spl0_111 | spl0_113)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f4586,f705])).
% 69.55/11.07 thf(f4586,plain,(
% 69.55/11.07 ($false = (~ (sK3 @ sK7 @ sK4))) | (~spl0_111 | spl0_113)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4298,f3032])).
% 69.55/11.07 thf(f3032,plain,(
% 69.55/11.07 ($false != (~ (sK3 @ sK7 @ sK6))) | spl0_113),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f3031])).
% 69.55/11.07 thf(f3031,definition,(
% 69.55/11.07 spl0_113 <=> ($false = (~ (sK3 @ sK7 @ sK6)))),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_113])],[avatar_definition])).
% 69.55/11.07 thf(f4298,plain,(
% 69.55/11.07 ($false = (~ (sK3 @ sK7 @ sK4))) | ($false = (~ (sK3 @ sK7 @ sK6))) | ~spl0_111),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4275,f279])).
% 69.55/11.07 thf(f4275,plain,(
% 69.55/11.07 ($false = (~ (sK3 @ sK7 @ sK6))) | (sK6 = sK7) | ($false = (~ (sK3 @ sK7 @ sK4))) | ~spl0_111),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4273])).
% 69.55/11.07 thf(f4273,plain,(
% 69.55/11.07 ($false = $true) | (sK6 = sK7) | ($false = (~ (sK3 @ sK7 @ sK4))) | ($false = (~ (sK3 @ sK7 @ sK6))) | ~spl0_111),
% 69.55/11.07 inference(superposition,[status(thm)],[f53,f3023])).
% 69.55/11.07 thf(f3023,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (X0 = sK4)) = $false) | ((~ (sK3 @ X0 @ sK6)) = $false) | ((~ (sK3 @ X0 @ sK4)) = $false) | (sK6 = X0)) ) | ~spl0_111),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f3022])).
% 69.55/11.07 thf(f4580,plain,(
% 69.55/11.07 ~spl0_44 | ~spl0_45 | ~spl0_51 | ~spl0_62),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f4579])).
% 69.55/11.07 thf(f4579,plain,(
% 69.55/11.07 $false | (~spl0_44 | ~spl0_45 | ~spl0_51 | ~spl0_62)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4578,f79])).
% 69.55/11.07 thf(f4578,plain,(
% 69.55/11.07 (sK2 = sK7) | (~spl0_44 | ~spl0_45 | ~spl0_51 | ~spl0_62)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4577,f310])).
% 69.55/11.07 thf(f4577,plain,(
% 69.55/11.07 (sK4 = sK7) | (sK2 = sK7) | (~spl0_44 | ~spl0_45 | ~spl0_51 | ~spl0_62)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4565,f265])).
% 69.55/11.07 thf(f4565,plain,(
% 69.55/11.07 (sK5 = sK7) | (sK2 = sK7) | (sK4 = sK7) | (~spl0_44 | ~spl0_45 | ~spl0_51 | ~spl0_62)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4554])).
% 69.55/11.07 thf(f4554,plain,(
% 69.55/11.07 ($false = $true) | (sK5 = sK7) | (sK4 = sK7) | (sK2 = sK7) | (~spl0_44 | ~spl0_45 | ~spl0_51 | ~spl0_62)),
% 69.55/11.07 inference(superposition,[status(thm)],[f4539,f4083])).
% 69.55/11.07 thf(f4083,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK4 @ X0) = $false) | (sK5 = X0) | (sK2 = X0) | (sK4 = X0)) ) | (~spl0_44 | ~spl0_45 | ~spl0_51)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4082])).
% 69.55/11.07 thf(f4082,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (($false = $true) | (sK4 = X0) | (sK5 = X0) | (sK2 = X0) | ((sK3 @ sK4 @ X0) = $false)) ) | (~spl0_44 | ~spl0_45 | ~spl0_51)),
% 69.55/11.07 inference(backward_subsumption_demodulation,[status(thm)],[f2471,f637])).
% 69.55/11.07 thf(f2471,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK4 @ X0) = $false) | ((sK3 @ sK2 @ X0) = $true) | (sK2 = X0) | (sK4 = X0) | (sK5 = X0)) ) | (~spl0_45 | ~spl0_51)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f2470])).
% 69.55/11.07 thf(f2470,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK2 = X0) | (sK4 = X0) | ($false = $true) | ((sK3 @ sK4 @ X0) = $false) | (sK5 = X0) | ((sK3 @ sK2 @ X0) = $true)) ) | (~spl0_45 | ~spl0_51)),
% 69.55/11.07 inference(duplicate_literal_removal,[status(thm)],[f2450])).
% 69.55/11.07 thf(f2450,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK5 = X0) | (sK4 = X0) | ((sK3 @ sK4 @ X0) = $false) | ((sK3 @ sK2 @ X0) = $true) | (sK2 = X0) | ($false = $true) | (sK5 = X0)) ) | (~spl0_45 | ~spl0_51)),
% 69.55/11.07 inference(superposition,[status(thm)],[f666,f2415])).
% 69.55/11.07 thf(f2415,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK5 @ X0) = $true) | (sK5 = X0) | (sK2 = X0) | ((sK3 @ sK2 @ X0) = $true)) ) | ~spl0_45),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f2085])).
% 69.55/11.07 thf(f4539,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK7) = $true) | (~spl0_44 | ~spl0_45 | ~spl0_51 | ~spl0_62)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4538,f310])).
% 69.55/11.07 thf(f4538,plain,(
% 69.55/11.07 (sK4 = sK7) | ((sK3 @ sK4 @ sK7) = $true) | (~spl0_44 | ~spl0_45 | ~spl0_51 | ~spl0_62)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4537,f93])).
% 69.55/11.07 thf(f4537,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK7) = $true) | (sK8 = sK4) | (sK4 = sK7) | (~spl0_44 | ~spl0_45 | ~spl0_51 | ~spl0_62)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4536,f286])).
% 69.55/11.07 thf(f4536,plain,(
% 69.55/11.07 (sK8 = sK5) | ((sK3 @ sK4 @ sK7) = $true) | (sK8 = sK4) | (sK4 = sK7) | (~spl0_44 | ~spl0_45 | ~spl0_51 | ~spl0_62)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4496,f83])).
% 69.55/11.07 thf(f4496,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK7) = $true) | (sK8 = sK2) | (sK4 = sK7) | (sK8 = sK5) | (sK8 = sK4) | (~spl0_44 | ~spl0_45 | ~spl0_51 | ~spl0_62)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4495])).
% 69.55/11.07 thf(f4495,plain,(
% 69.55/11.07 (sK8 = sK5) | (sK8 = sK2) | ((sK3 @ sK4 @ sK7) = $true) | (sK4 = sK7) | ($false = $true) | (sK8 = sK4) | (~spl0_44 | ~spl0_45 | ~spl0_51 | ~spl0_62)),
% 69.55/11.07 inference(duplicate_literal_removal,[status(thm)],[f4485])).
% 69.55/11.07 thf(f4485,plain,(
% 69.55/11.07 (sK8 = sK2) | (sK8 = sK5) | (sK8 = sK4) | ($false = $true) | (sK8 = sK4) | (sK4 = sK7) | ((sK3 @ sK4 @ sK7) = $true) | (~spl0_44 | ~spl0_45 | ~spl0_51 | ~spl0_62)),
% 69.55/11.07 inference(superposition,[status(thm)],[f4083,f3766])).
% 69.55/11.07 thf(f3766,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ X0 @ sK8) = $true) | (sK8 = X0) | ((sK3 @ X0 @ sK7) = $true) | (sK7 = X0)) ) | ~spl0_62),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f3693,f85])).
% 69.55/11.07 thf(f3693,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ X0 @ sK8) = $true) | (sK8 = sK7) | ((sK3 @ X0 @ sK7) = $true) | (sK8 = X0) | (sK7 = X0)) ) | ~spl0_62),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f3692])).
% 69.55/11.07 thf(f3692,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK8 = X0) | ($false = $true) | (sK7 = X0) | ((sK3 @ X0 @ sK7) = $true) | (sK8 = sK7) | ((sK3 @ X0 @ sK8) = $true)) ) | ~spl0_62),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f3691])).
% 69.55/11.07 thf(f3691,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ X0 @ sK8) = $true) | ((sK3 @ X0 @ sK7) = $true) | (sK8 = sK7) | (sK7 = X0) | ((~ $false) = $false) | (sK8 = X0)) ) | ~spl0_62),
% 69.55/11.07 inference(superposition,[status(thm)],[f3295,f716])).
% 69.55/11.07 thf(f3295,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((~ (sK3 @ X1 @ X3)) = $false) | ((sK3 @ X2 @ X3) = $true) | (X1 = X2) | (X1 = X3) | (X2 = X3) | ((sK3 @ X2 @ X1) = $true)) )),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f2212])).
% 69.55/11.07 thf(f2212,plain,(
% 69.55/11.07 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((~ (sK3 @ X2 @ X1)) = $false) | (X2 = X3) | ((~ (sK3 @ X1 @ X3)) = $false) | (X1 = X2) | ((sK3 @ X2 @ X3) = $true) | (X1 = X3)) )),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f1795])).
% 69.55/11.07 thf(f4547,plain,(
% 69.55/11.07 ~spl0_9 | ~spl0_30 | ~spl0_62),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f4546])).
% 69.55/11.07 thf(f4546,plain,(
% 69.55/11.07 $false | (~spl0_9 | ~spl0_30 | ~spl0_62)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4545])).
% 69.55/11.07 thf(f4545,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_9 | ~spl0_30 | ~spl0_62)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f4544,f307])).
% 69.55/11.07 thf(f4544,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK7) = $true) | (~spl0_9 | ~spl0_62)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4543,f310])).
% 69.55/11.07 thf(f4543,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK7) = $true) | (sK4 = sK7) | (~spl0_9 | ~spl0_62)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4494,f93])).
% 69.55/11.07 thf(f4494,plain,(
% 69.55/11.07 (sK8 = sK4) | ((sK3 @ sK4 @ sK7) = $true) | (sK4 = sK7) | (~spl0_9 | ~spl0_62)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4472])).
% 69.55/11.07 thf(f4472,plain,(
% 69.55/11.07 (sK4 = sK7) | (sK8 = sK4) | ((sK3 @ sK4 @ sK7) = $true) | ($false = $true) | (~spl0_9 | ~spl0_62)),
% 69.55/11.07 inference(superposition,[status(thm)],[f3766,f187])).
% 69.55/11.07 thf(f4535,plain,(
% 69.55/11.07 ~spl0_23 | ~spl0_28 | ~spl0_62),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f4534])).
% 69.55/11.07 thf(f4534,plain,(
% 69.55/11.07 $false | (~spl0_23 | ~spl0_28 | ~spl0_62)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4533])).
% 69.55/11.07 thf(f4533,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_23 | ~spl0_28 | ~spl0_62)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f4532,f259])).
% 69.55/11.07 thf(f4532,plain,(
% 69.55/11.07 ((sK3 @ sK5 @ sK7) = $true) | (~spl0_28 | ~spl0_62)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4531,f286])).
% 69.55/11.07 thf(f4531,plain,(
% 69.55/11.07 (sK8 = sK5) | ((sK3 @ sK5 @ sK7) = $true) | (~spl0_28 | ~spl0_62)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4508,f265])).
% 69.55/11.07 thf(f4508,plain,(
% 69.55/11.07 (sK5 = sK7) | (sK8 = sK5) | ((sK3 @ sK5 @ sK7) = $true) | (~spl0_28 | ~spl0_62)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4482])).
% 69.55/11.07 thf(f4482,plain,(
% 69.55/11.07 (sK8 = sK5) | ($false = $true) | ((sK3 @ sK5 @ sK7) = $true) | (sK5 = sK7) | (~spl0_28 | ~spl0_62)),
% 69.55/11.07 inference(superposition,[status(thm)],[f293,f3766])).
% 69.55/11.07 thf(f4465,plain,(
% 69.55/11.07 spl0_20 | ~spl0_53 | spl0_63),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f4464])).
% 69.55/11.07 thf(f4464,plain,(
% 69.55/11.07 $false | (spl0_20 | ~spl0_53 | spl0_63)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4463,f89])).
% 69.55/11.07 thf(f4463,plain,(
% 69.55/11.07 (sK8 = sK6) | (spl0_20 | ~spl0_53 | spl0_63)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4462,f83])).
% 69.55/11.07 thf(f4462,plain,(
% 69.55/11.07 (sK8 = sK2) | (sK8 = sK6) | (spl0_20 | ~spl0_53 | spl0_63)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4439,f236])).
% 69.55/11.07 thf(f4439,plain,(
% 69.55/11.07 ($false = (sK3 @ sK2 @ sK8)) | (sK8 = sK6) | (sK8 = sK2) | (~spl0_53 | spl0_63)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4431])).
% 69.55/11.07 thf(f4431,plain,(
% 69.55/11.07 (sK8 = sK6) | (sK8 = sK2) | ($false = $true) | ($false = (sK3 @ sK2 @ sK8)) | (~spl0_53 | spl0_63)),
% 69.55/11.07 inference(superposition,[status(thm)],[f4181,f674])).
% 69.55/11.07 thf(f674,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK6 @ X0) = $false) | (sK6 = X0) | (sK2 = X0) | ((sK3 @ sK2 @ X0) = $false)) ) | ~spl0_53),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f673])).
% 69.55/11.07 thf(f4181,plain,(
% 69.55/11.07 ((sK3 @ sK6 @ sK8) = $true) | spl0_63),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4179])).
% 69.55/11.07 thf(f4179,plain,(
% 69.55/11.07 ($false != $false) | ((sK3 @ sK6 @ sK8) = $true) | spl0_63),
% 69.55/11.07 inference(superposition,[status(thm)],[f720,f58])).
% 69.55/11.07 thf(f720,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK6) != $false) | spl0_63),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f719])).
% 69.55/11.07 thf(f4132,plain,(
% 69.55/11.07 ~spl0_5 | ~spl0_28 | ~spl0_45 | spl0_63),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f4131])).
% 69.55/11.07 thf(f4131,plain,(
% 69.55/11.07 $false | (~spl0_5 | ~spl0_28 | ~spl0_45 | spl0_63)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4130,f720])).
% 69.55/11.07 thf(f4130,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK6) = $false) | (~spl0_5 | ~spl0_28 | ~spl0_45)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4129,f286])).
% 69.55/11.07 thf(f4129,plain,(
% 69.55/11.07 (sK8 = sK5) | ((sK3 @ sK8 @ sK6) = $false) | (~spl0_5 | ~spl0_28 | ~spl0_45)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4128,f89])).
% 69.55/11.07 thf(f4128,plain,(
% 69.55/11.07 (sK8 = sK6) | (sK8 = sK5) | ((sK3 @ sK8 @ sK6) = $false) | (~spl0_5 | ~spl0_28 | ~spl0_45)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f3931,f83])).
% 69.55/11.07 thf(f3931,plain,(
% 69.55/11.07 (sK8 = sK2) | (sK8 = sK6) | ((sK3 @ sK8 @ sK6) = $false) | (sK8 = sK5) | (~spl0_5 | ~spl0_28 | ~spl0_45)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f3923])).
% 69.55/11.07 thf(f3923,plain,(
% 69.55/11.07 ($false = $true) | (sK8 = sK2) | (sK8 = sK6) | (sK8 = sK5) | ((sK3 @ sK8 @ sK6) = $false) | (~spl0_5 | ~spl0_28 | ~spl0_45)),
% 69.55/11.07 inference(superposition,[status(thm)],[f293,f2429])).
% 69.55/11.07 thf(f2429,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK5 @ X0) = $true) | (sK5 = X0) | (sK2 = X0) | (sK6 = X0) | ((sK3 @ X0 @ sK6) = $false)) ) | (~spl0_5 | ~spl0_45)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f2428])).
% 69.55/11.07 thf(f2428,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK2 = X0) | ((sK3 @ sK5 @ X0) = $true) | ((sK3 @ X0 @ sK6) = $false) | (sK6 = X0) | ($false = $true) | (sK5 = X0)) ) | (~spl0_5 | ~spl0_45)),
% 69.55/11.07 inference(boolean_simplification,[status(thm)],[f2427])).
% 69.55/11.07 thf(f2427,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK5 @ X0) = $true) | (sK5 = X0) | (sK2 = X0) | ((sK3 @ X0 @ sK6) = $false) | (sK6 = X0) | ((~ $false) = $false)) ) | (~spl0_5 | ~spl0_45)),
% 69.55/11.07 inference(duplicate_literal_removal,[status(thm)],[f2416])).
% 69.55/11.07 thf(f2416,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK5 = X0) | (sK2 = X0) | (sK2 = X0) | ((sK3 @ X0 @ sK6) = $false) | (sK6 = X0) | ((sK3 @ sK5 @ X0) = $true) | ((~ $false) = $false)) ) | (~spl0_5 | ~spl0_45)),
% 69.55/11.07 inference(superposition,[status(thm)],[f2085,f505])).
% 69.55/11.07 thf(f505,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK2 @ X0) = $false) | (sK6 = X0) | (sK2 = X0) | ((sK3 @ X0 @ sK6) = $false)) ) | ~spl0_5),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f504])).
% 69.55/11.07 thf(f504,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK2 @ X0) = $false) | (sK6 = X0) | ((sK2 = X0) = $true) | ((sK3 @ X0 @ sK6) = $false)) ) | ~spl0_5),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f503])).
% 69.55/11.07 thf(f503,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK2 = X0)) = $false) | ((sK3 @ X0 @ sK6) = $false) | (sK6 = X0) | ((sK3 @ sK2 @ X0) = $false)) ) | ~spl0_5),
% 69.55/11.07 inference(equality_proxy_clausification,[status(thm)],[f486])).
% 69.55/11.07 thf(f486,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK2 @ X0) = $false) | ((sK3 @ X0 @ sK6) = $false) | ((sK6 = X0) = $true) | ((~ (sK2 = X0)) = $false)) ) | ~spl0_5),
% 69.55/11.07 inference(not_proxy_clausification,[status(thm)],[f170])).
% 69.55/11.07 thf(f170,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((~ (sK6 = X0)) = $false) | ((~ (sK2 = X0)) = $false) | ((sK3 @ X0 @ sK6) = $false) | ((sK3 @ sK2 @ X0) = $false)) ) | ~spl0_5),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f169])).
% 69.55/11.07 thf(f4111,plain,(
% 69.55/11.07 ~spl0_5 | spl0_63 | spl0_68),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f4110])).
% 69.55/11.07 thf(f4110,plain,(
% 69.55/11.07 $false | (~spl0_5 | spl0_63 | spl0_68)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4109,f89])).
% 69.55/11.07 thf(f4109,plain,(
% 69.55/11.07 (sK8 = sK6) | (~spl0_5 | spl0_63 | spl0_68)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4108,f83])).
% 69.55/11.07 thf(f4108,plain,(
% 69.55/11.07 (sK8 = sK2) | (sK8 = sK6) | (~spl0_5 | spl0_63 | spl0_68)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f3561,f720])).
% 69.55/11.07 thf(f3561,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK6) = $false) | (sK8 = sK6) | (sK8 = sK2) | (~spl0_5 | spl0_68)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f3556])).
% 69.55/11.07 thf(f3556,plain,(
% 69.55/11.07 ($false = $true) | ((sK3 @ sK8 @ sK6) = $false) | (sK8 = sK2) | (sK8 = sK6) | (~spl0_5 | spl0_68)),
% 69.55/11.07 inference(superposition,[status(thm)],[f505,f3492])).
% 69.55/11.07 thf(f3492,plain,(
% 69.55/11.07 ((sK3 @ sK2 @ sK8) = $true) | spl0_68),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f3491])).
% 69.55/11.07 thf(f3491,plain,(
% 69.55/11.07 ((sK3 @ sK2 @ sK8) = $true) | ($false != $false) | spl0_68),
% 69.55/11.07 inference(superposition,[status(thm)],[f745,f58])).
% 69.55/11.07 thf(f4098,plain,(
% 69.55/11.07 spl0_47 | spl0_63 | ~spl0_71),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f4097,f983,f719,f649])).
% 69.55/11.07 thf(f4097,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK6) = $false) | ((sK3 @ sK8 @ sK4) = $false) | ~spl0_71),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4006,f89])).
% 69.55/11.07 thf(f4006,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK6) = $false) | (sK8 = sK6) | ((sK3 @ sK8 @ sK4) = $false) | ~spl0_71),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f3995])).
% 69.55/11.07 thf(f3995,plain,(
% 69.55/11.07 ((sK3 @ sK8 @ sK6) = $false) | (sK8 = sK6) | ((sK3 @ sK8 @ sK4) = $false) | ($false = $true) | ~spl0_71),
% 69.55/11.07 inference(superposition,[status(thm)],[f984,f44])).
% 69.55/11.07 thf(f4076,plain,(
% 69.55/11.07 spl0_44 | spl0_18),
% 69.55/11.07 inference(avatar_split_clause,[status(thm)],[f4075,f221,f636])).
% 69.55/11.07 thf(f4075,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK4 @ X0) = $false) | (sK2 = X0) | (sK4 = X0) | ((sK3 @ sK2 @ X0) = $false)) ) | spl0_18),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f3548,f91])).
% 69.55/11.07 thf(f3548,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK4 = X0) | ((sK3 @ sK2 @ X0) = $false) | (sK4 = sK2) | (sK2 = X0) | ((sK3 @ sK4 @ X0) = $false)) ) | spl0_18),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f3544])).
% 69.55/11.07 thf(f3544,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK2 @ X0) = $false) | (sK2 = X0) | ((sK3 @ sK4 @ X0) = $false) | ($false != $false) | (sK4 = X0) | (sK4 = sK2)) ) | spl0_18),
% 69.55/11.07 inference(superposition,[status(thm)],[f222,f680])).
% 69.55/11.07 thf(f222,plain,(
% 69.55/11.07 ((sK3 @ sK2 @ sK4) != $false) | spl0_18),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f221])).
% 69.55/11.07 thf(f4070,plain,(
% 69.55/11.07 ~spl0_31 | ~spl0_119),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f4069])).
% 69.55/11.07 thf(f4069,plain,(
% 69.55/11.07 $false | (~spl0_31 | ~spl0_119)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4068])).
% 69.55/11.07 thf(f4068,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_31 | ~spl0_119)),
% 69.55/11.07 inference(backward_demodulation,[status(thm)],[f3152,f333])).
% 69.55/11.07 thf(f3152,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK2) = $true) | ~spl0_119),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f3150])).
% 69.55/11.07 thf(f3150,definition,(
% 69.55/11.07 spl0_119 <=> ((sK3 @ sK4 @ sK2) = $true)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_119])],[avatar_definition])).
% 69.55/11.07 thf(f4059,plain,(
% 69.55/11.07 spl0_9 | ~spl0_44 | ~spl0_45 | ~spl0_51),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f4058])).
% 69.55/11.07 thf(f4058,plain,(
% 69.55/11.07 $false | (spl0_9 | ~spl0_44 | ~spl0_45 | ~spl0_51)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4057,f93])).
% 69.55/11.07 thf(f4057,plain,(
% 69.55/11.07 (sK8 = sK4) | (spl0_9 | ~spl0_44 | ~spl0_45 | ~spl0_51)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4056,f286])).
% 69.55/11.07 thf(f4056,plain,(
% 69.55/11.07 (sK8 = sK5) | (sK8 = sK4) | (spl0_9 | ~spl0_44 | ~spl0_45 | ~spl0_51)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f4055,f83])).
% 69.55/11.07 thf(f4055,plain,(
% 69.55/11.07 (sK8 = sK2) | (sK8 = sK5) | (sK8 = sK4) | (spl0_9 | ~spl0_44 | ~spl0_45 | ~spl0_51)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f4052])).
% 69.55/11.07 thf(f4052,plain,(
% 69.55/11.07 (sK8 = sK4) | (sK8 = sK2) | ($false != $false) | (sK8 = sK5) | (spl0_9 | ~spl0_44 | ~spl0_45 | ~spl0_51)),
% 69.55/11.07 inference(superposition,[status(thm)],[f186,f3042])).
% 69.55/11.07 thf(f3042,plain,(
% 69.55/11.07 ( ! [X0 : $i] : (((sK3 @ sK4 @ X0) = $false) | (sK2 = X0) | (sK5 = X0) | (sK4 = X0)) ) | (~spl0_44 | ~spl0_45 | ~spl0_51)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f3041])).
% 69.55/11.07 thf(f3041,plain,(
% 69.55/11.07 ( ! [X0 : $i] : ((sK4 = X0) | ($false = $true) | (sK5 = X0) | ((sK3 @ sK4 @ X0) = $false) | (sK2 = X0)) ) | (~spl0_44 | ~spl0_45 | ~spl0_51)),
% 69.55/11.07 inference(backward_subsumption_demodulation,[status(thm)],[f2471,f637])).
% 69.55/11.07 thf(f186,plain,(
% 69.55/11.07 ((sK3 @ sK4 @ sK8) != $false) | spl0_9),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f185])).
% 69.55/11.07 thf(f3891,plain,(
% 69.55/11.07 ~spl0_25 | spl0_58),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f3890])).
% 69.55/11.07 thf(f3890,plain,(
% 69.55/11.07 $false | (~spl0_25 | spl0_58)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f3889])).
% 69.55/11.07 thf(f3889,plain,(
% 69.55/11.07 ($false = $true) | (~spl0_25 | spl0_58)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f3887,f274])).
% 69.55/11.07 thf(f274,plain,(
% 69.55/11.07 ((sK3 @ sK6 @ sK7) = $false) | ~spl0_25),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f272])).
% 69.55/11.07 thf(f3887,plain,(
% 69.55/11.07 ((sK3 @ sK6 @ sK7) = $true) | spl0_58),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f3883])).
% 69.55/11.07 thf(f3883,plain,(
% 69.55/11.07 ((sK3 @ sK6 @ sK7) = $true) | ($false != $false) | spl0_58),
% 69.55/11.07 inference(superposition,[status(thm)],[f698,f58])).
% 69.55/11.07 thf(f698,plain,(
% 69.55/11.07 ((sK3 @ sK7 @ sK6) != $false) | spl0_58),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f697])).
% 69.55/11.07 thf(f3779,plain,(
% 69.55/11.07 spl0_3 | ~spl0_56),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f3778])).
% 69.55/11.07 thf(f3778,plain,(
% 69.55/11.07 $false | (spl0_3 | ~spl0_56)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f3777])).
% 69.55/11.07 thf(f3777,plain,(
% 69.55/11.07 ($false = $true) | (spl0_3 | ~spl0_56)),
% 69.55/11.07 inference(forward_demodulation,[status(thm)],[f3775,f688])).
% 69.55/11.07 thf(f3775,plain,(
% 69.55/11.07 ((sK3 @ sK6 @ sK5) = $true) | spl0_3),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f3773])).
% 69.55/11.07 thf(f3773,plain,(
% 69.55/11.07 ((sK3 @ sK6 @ sK5) = $true) | ($false != $false) | spl0_3),
% 69.55/11.07 inference(superposition,[status(thm)],[f162,f58])).
% 69.55/11.07 thf(f162,plain,(
% 69.55/11.07 ((sK3 @ sK5 @ sK6) != $false) | spl0_3),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f161])).
% 69.55/11.07 thf(f161,definition,(
% 69.55/11.07 spl0_3 <=> ((sK3 @ sK5 @ sK6) = $false)),
% 69.55/11.07 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 69.55/11.07 thf(f3634,plain,(
% 69.55/11.07 spl0_47 | ~spl0_49 | spl0_52),
% 69.55/11.07 inference(avatar_contradiction_clause,[status(thm)],[f3633])).
% 69.55/11.07 thf(f3633,plain,(
% 69.55/11.07 $false | (spl0_47 | ~spl0_49 | spl0_52)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f3632,f669])).
% 69.55/11.07 thf(f669,plain,(
% 69.55/11.07 ((sK3 @ sK5 @ sK4) != $false) | spl0_52),
% 69.55/11.07 inference(avatar_component_clause,[status(thm)],[f668])).
% 69.55/11.07 thf(f3632,plain,(
% 69.55/11.07 ((sK3 @ sK5 @ sK4) = $false) | (spl0_47 | ~spl0_49)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f3631,f81])).
% 69.55/11.07 thf(f3631,plain,(
% 69.55/11.07 (sK5 = sK4) | ((sK3 @ sK5 @ sK4) = $false) | (spl0_47 | ~spl0_49)),
% 69.55/11.07 inference(subsumption_resolution,[status(thm)],[f3630,f93])).
% 69.55/11.07 thf(f3630,plain,(
% 69.55/11.07 (sK8 = sK4) | ((sK3 @ sK5 @ sK4) = $false) | (sK5 = sK4) | (spl0_47 | ~spl0_49)),
% 69.55/11.07 inference(trivial_inequality_removal,[status(thm)],[f3623])).
% 69.55/11.07 thf(f3623,plain,(
% 69.55/11.07 ((sK3 @ sK5 @ sK4) = $false) | (sK8 = sK4) | (sK5 = sK4) | ($false != $false) | (spl0_47 | ~spl0_49)),
% 69.55/11.07 inference(superposition,[status(thm)],[f650,f658])).
% 69.55/11.08 thf(f3612,plain,(
% 69.55/11.08 spl0_48 | spl0_9),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f3611,f185,f653])).
% 69.55/11.08 thf(f3611,plain,(
% 69.55/11.08 ( ! [X0 : $i] : ((sK4 = X0) | (sK8 = X0) | ((sK3 @ sK4 @ X0) = $false) | ((sK3 @ sK8 @ X0) = $false)) ) | spl0_9),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f3606,f93])).
% 69.55/11.08 thf(f3606,plain,(
% 69.55/11.08 ( ! [X0 : $i] : ((sK8 = X0) | ((sK3 @ sK8 @ X0) = $false) | (sK4 = X0) | (sK8 = sK4) | ((sK3 @ sK4 @ X0) = $false)) ) | spl0_9),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f3603])).
% 69.55/11.08 thf(f3603,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK4 @ X0) = $false) | ($false != $false) | (sK4 = X0) | (sK8 = sK4) | (sK8 = X0) | ((sK3 @ sK8 @ X0) = $false)) ) | spl0_9),
% 69.55/11.08 inference(superposition,[status(thm)],[f186,f680])).
% 69.55/11.08 thf(f3610,plain,(
% 69.55/11.08 spl0_9 | ~spl0_47),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f3609])).
% 69.55/11.08 thf(f3609,plain,(
% 69.55/11.08 $false | (spl0_9 | ~spl0_47)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f3608])).
% 69.55/11.08 thf(f3608,plain,(
% 69.55/11.08 ($false = $true) | (spl0_9 | ~spl0_47)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f3607,f651])).
% 69.55/11.08 thf(f3607,plain,(
% 69.55/11.08 ((sK3 @ sK8 @ sK4) = $true) | spl0_9),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f3604])).
% 69.55/11.08 thf(f3604,plain,(
% 69.55/11.08 ((sK3 @ sK8 @ sK4) = $true) | ($false != $false) | spl0_9),
% 69.55/11.08 inference(superposition,[status(thm)],[f186,f58])).
% 69.55/11.08 thf(f3549,plain,(
% 69.55/11.08 spl0_119 | spl0_18),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f3546,f221,f3150])).
% 69.55/11.08 thf(f3546,plain,(
% 69.55/11.08 ((sK3 @ sK4 @ sK2) = $true) | spl0_18),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f3545])).
% 69.55/11.08 thf(f3545,plain,(
% 69.55/11.08 ((sK3 @ sK4 @ sK2) = $true) | ($false != $false) | spl0_18),
% 69.55/11.08 inference(superposition,[status(thm)],[f222,f58])).
% 69.55/11.08 thf(f3538,plain,(
% 69.55/11.08 spl0_54 | spl0_72),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f3537])).
% 69.55/11.08 thf(f3537,plain,(
% 69.55/11.08 $false | (spl0_54 | spl0_72)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f3536])).
% 69.55/11.08 thf(f3536,plain,(
% 69.55/11.08 ($false != $false) | (spl0_54 | spl0_72)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f3535])).
% 69.55/11.08 thf(f3535,plain,(
% 69.55/11.08 ((~ $true) != $false) | (spl0_54 | spl0_72)),
% 69.55/11.08 inference(backward_demodulation,[status(thm)],[f1001,f3534])).
% 69.55/11.08 thf(f3534,plain,(
% 69.55/11.08 ((sK3 @ sK2 @ sK6) = $true) | spl0_54),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f3532])).
% 69.55/11.08 thf(f3532,plain,(
% 69.55/11.08 ($false != $false) | ((sK3 @ sK2 @ sK6) = $true) | spl0_54),
% 69.55/11.08 inference(superposition,[status(thm)],[f677,f58])).
% 69.55/11.08 thf(f1001,plain,(
% 69.55/11.08 ((~ (sK3 @ sK2 @ sK6)) != $false) | spl0_72),
% 69.55/11.08 inference(avatar_component_clause,[status(thm)],[f1000])).
% 69.55/11.08 thf(f3515,plain,(
% 69.55/11.08 ~spl0_6 | ~spl0_45 | ~spl0_56),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f3514])).
% 69.55/11.08 thf(f3514,plain,(
% 69.55/11.08 $false | (~spl0_6 | ~spl0_45 | ~spl0_56)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f3513])).
% 69.55/11.08 thf(f3513,plain,(
% 69.55/11.08 ($false = $true) | (~spl0_6 | ~spl0_45 | ~spl0_56)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f3512,f688])).
% 69.55/11.08 thf(f3512,plain,(
% 69.55/11.08 ((sK3 @ sK6 @ sK5) = $true) | (~spl0_6 | ~spl0_45)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f3511,f87])).
% 69.55/11.08 thf(f3511,plain,(
% 69.55/11.08 (sK6 = sK2) | ((sK3 @ sK6 @ sK5) = $true) | (~spl0_6 | ~spl0_45)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f3504,f95])).
% 69.55/11.08 thf(f3504,plain,(
% 69.55/11.08 (sK5 = sK6) | (sK6 = sK2) | ((sK3 @ sK6 @ sK5) = $true) | (~spl0_6 | ~spl0_45)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f3502])).
% 69.55/11.08 thf(f3502,plain,(
% 69.55/11.08 ((sK3 @ sK6 @ sK5) = $true) | (sK6 = sK2) | ($false = $true) | (sK5 = sK6) | (~spl0_6 | ~spl0_45)),
% 69.55/11.08 inference(superposition,[status(thm)],[f174,f2467])).
% 69.55/11.08 thf(f2467,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK2 @ X0) = $true) | (sK2 = X0) | ((sK3 @ X0 @ sK5) = $true) | (sK5 = X0)) ) | ~spl0_45),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2452])).
% 69.55/11.08 thf(f2452,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK2 @ X0) = $true) | (sK2 = X0) | (sK5 = X0) | ($false = $true) | ((sK3 @ X0 @ sK5) = $true)) ) | ~spl0_45),
% 69.55/11.08 inference(superposition,[status(thm)],[f58,f2415])).
% 69.55/11.08 thf(f3485,plain,(
% 69.55/11.08 spl0_134 | spl0_20),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f3484,f235,f3417])).
% 69.55/11.08 thf(f3484,plain,(
% 69.55/11.08 ((sK3 @ sK8 @ sK2) = $true) | spl0_20),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f3481])).
% 69.55/11.08 thf(f3481,plain,(
% 69.55/11.08 ($false != $false) | ((sK3 @ sK8 @ sK2) = $true) | spl0_20),
% 69.55/11.08 inference(superposition,[status(thm)],[f236,f58])).
% 69.55/11.08 thf(f3458,plain,(
% 69.55/11.08 ~spl0_30 | ~spl0_125),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f3457])).
% 69.55/11.08 thf(f3457,plain,(
% 69.55/11.08 $false | (~spl0_30 | ~spl0_125)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f3456])).
% 69.55/11.08 thf(f3456,plain,(
% 69.55/11.08 ($false = $true) | (~spl0_30 | ~spl0_125)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f3455])).
% 69.55/11.08 thf(f3455,plain,(
% 69.55/11.08 ((~ $false) = $false) | (~spl0_30 | ~spl0_125)),
% 69.55/11.08 inference(backward_demodulation,[status(thm)],[f3232,f307])).
% 69.55/11.08 thf(f3232,plain,(
% 69.55/11.08 ((~ (sK3 @ sK4 @ sK7)) = $false) | ~spl0_125),
% 69.55/11.08 inference(avatar_component_clause,[status(thm)],[f3230])).
% 69.55/11.08 thf(f3265,plain,(
% 69.55/11.08 ~spl0_58 | ~spl0_113),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f3264])).
% 69.55/11.08 thf(f3264,plain,(
% 69.55/11.08 $false | (~spl0_58 | ~spl0_113)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f3263])).
% 69.55/11.08 thf(f3263,plain,(
% 69.55/11.08 ($false = $true) | (~spl0_58 | ~spl0_113)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f3262])).
% 69.55/11.08 thf(f3262,plain,(
% 69.55/11.08 ((~ $false) = $false) | (~spl0_58 | ~spl0_113)),
% 69.55/11.08 inference(backward_demodulation,[status(thm)],[f3033,f699])).
% 69.55/11.08 thf(f3033,plain,(
% 69.55/11.08 ($false = (~ (sK3 @ sK7 @ sK6))) | ~spl0_113),
% 69.55/11.08 inference(avatar_component_clause,[status(thm)],[f3031])).
% 69.55/11.08 thf(f3218,plain,(
% 69.55/11.08 spl0_23 | spl0_56 | ~spl0_57),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f3217])).
% 69.55/11.08 thf(f3217,plain,(
% 69.55/11.08 $false | (spl0_23 | spl0_56 | ~spl0_57)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f3216,f265])).
% 69.55/11.08 thf(f3216,plain,(
% 69.55/11.08 (sK5 = sK7) | (spl0_23 | spl0_56 | ~spl0_57)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f3215,f687])).
% 69.55/11.08 thf(f3215,plain,(
% 69.55/11.08 ($false = (sK3 @ sK6 @ sK5)) | (sK5 = sK7) | (spl0_23 | ~spl0_57)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2006,f95])).
% 69.55/11.08 thf(f2006,plain,(
% 69.55/11.08 (sK5 = sK6) | ($false = (sK3 @ sK6 @ sK5)) | (sK5 = sK7) | (spl0_23 | ~spl0_57)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1995])).
% 69.55/11.08 thf(f1995,plain,(
% 69.55/11.08 ($false = (sK3 @ sK6 @ sK5)) | ($false = $true) | (sK5 = sK7) | (sK5 = sK6) | (spl0_23 | ~spl0_57)),
% 69.55/11.08 inference(superposition,[status(thm)],[f695,f1981])).
% 69.55/11.08 thf(f1981,plain,(
% 69.55/11.08 ((sK3 @ sK7 @ sK5) = $true) | spl0_23),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1977])).
% 69.55/11.08 thf(f1977,plain,(
% 69.55/11.08 ((sK3 @ sK7 @ sK5) = $true) | ($false != $false) | spl0_23),
% 69.55/11.08 inference(superposition,[status(thm)],[f258,f58])).
% 69.55/11.08 thf(f695,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK7 @ X0) = $false) | (sK6 = X0) | ((sK3 @ sK6 @ X0) = $false) | (sK7 = X0)) ) | ~spl0_57),
% 69.55/11.08 inference(avatar_component_clause,[status(thm)],[f694])).
% 69.55/11.08 thf(f694,definition,(
% 69.55/11.08 spl0_57 <=> ! [X0 : $i] : ((sK7 = X0) | ((sK3 @ sK6 @ X0) = $false) | (sK6 = X0) | ((sK3 @ sK7 @ X0) = $false))),
% 69.55/11.08 introduced(definition,[new_symbols(naming,[spl0_57])],[avatar_definition])).
% 69.55/11.08 thf(f3206,plain,(
% 69.55/11.08 ~spl0_41 | ~spl0_45 | spl0_56 | ~spl0_57),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f3205])).
% 69.55/11.08 thf(f3205,plain,(
% 69.55/11.08 $false | (~spl0_41 | ~spl0_45 | spl0_56 | ~spl0_57)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f3204])).
% 69.55/11.08 thf(f3204,plain,(
% 69.55/11.08 ($false = $true) | (~spl0_41 | ~spl0_45 | spl0_56 | ~spl0_57)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f3203,f625])).
% 69.55/11.08 thf(f625,plain,(
% 69.55/11.08 ((sK3 @ sK7 @ sK2) = $false) | ~spl0_41),
% 69.55/11.08 inference(avatar_component_clause,[status(thm)],[f623])).
% 69.55/11.08 thf(f3203,plain,(
% 69.55/11.08 ((sK3 @ sK7 @ sK2) = $true) | (~spl0_45 | spl0_56 | ~spl0_57)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f3202,f79])).
% 69.55/11.08 thf(f3202,plain,(
% 69.55/11.08 ((sK3 @ sK7 @ sK2) = $true) | (sK2 = sK7) | (~spl0_45 | spl0_56 | ~spl0_57)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f3201,f687])).
% 69.55/11.08 thf(f3201,plain,(
% 69.55/11.08 ((sK3 @ sK7 @ sK2) = $true) | ($false = (sK3 @ sK6 @ sK5)) | (sK2 = sK7) | (~spl0_45 | ~spl0_57)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f3200,f265])).
% 69.55/11.08 thf(f3200,plain,(
% 69.55/11.08 ((sK3 @ sK7 @ sK2) = $true) | (sK5 = sK7) | ($false = (sK3 @ sK6 @ sK5)) | (sK2 = sK7) | (~spl0_45 | ~spl0_57)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2613,f95])).
% 69.55/11.08 thf(f2613,plain,(
% 69.55/11.08 (sK5 = sK6) | ((sK3 @ sK7 @ sK2) = $true) | (sK5 = sK7) | ($false = (sK3 @ sK6 @ sK5)) | (sK2 = sK7) | (~spl0_45 | ~spl0_57)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2612])).
% 69.55/11.08 thf(f2612,plain,(
% 69.55/11.08 (sK5 = sK6) | (sK5 = sK7) | ($false = $true) | ($false = (sK3 @ sK6 @ sK5)) | (sK2 = sK7) | ((sK3 @ sK7 @ sK2) = $true) | (~spl0_45 | ~spl0_57)),
% 69.55/11.08 inference(duplicate_literal_removal,[status(thm)],[f2580])).
% 69.55/11.08 thf(f2580,plain,(
% 69.55/11.08 ((sK3 @ sK7 @ sK2) = $true) | (sK5 = sK7) | (sK5 = sK7) | (sK2 = sK7) | ($false = (sK3 @ sK6 @ sK5)) | ($false = $true) | (sK5 = sK6) | (~spl0_45 | ~spl0_57)),
% 69.55/11.08 inference(superposition,[status(thm)],[f695,f2513])).
% 69.55/11.08 thf(f3183,plain,(
% 69.55/11.08 ~spl0_45 | spl0_56 | ~spl0_64 | ~spl0_68),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f3182])).
% 69.55/11.08 thf(f3182,plain,(
% 69.55/11.08 $false | (~spl0_45 | spl0_56 | ~spl0_64 | ~spl0_68)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f3181])).
% 69.55/11.08 thf(f3181,plain,(
% 69.55/11.08 ($false = $true) | (~spl0_45 | spl0_56 | ~spl0_64 | ~spl0_68)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f3180,f746])).
% 69.55/11.08 thf(f3180,plain,(
% 69.55/11.08 ((sK3 @ sK8 @ sK2) = $true) | (~spl0_45 | spl0_56 | ~spl0_64)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f3179,f687])).
% 69.55/11.08 thf(f3179,plain,(
% 69.55/11.08 ($false = (sK3 @ sK6 @ sK5)) | ((sK3 @ sK8 @ sK2) = $true) | (~spl0_45 | ~spl0_64)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f3178,f95])).
% 69.55/11.08 thf(f3178,plain,(
% 69.55/11.08 ((sK3 @ sK8 @ sK2) = $true) | (sK5 = sK6) | ($false = (sK3 @ sK6 @ sK5)) | (~spl0_45 | ~spl0_64)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f3177,f286])).
% 69.55/11.08 thf(f3177,plain,(
% 69.55/11.08 (sK8 = sK5) | (sK5 = sK6) | ($false = (sK3 @ sK6 @ sK5)) | ((sK3 @ sK8 @ sK2) = $true) | (~spl0_45 | ~spl0_64)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2623,f83])).
% 69.55/11.08 thf(f2623,plain,(
% 69.55/11.08 (sK8 = sK2) | (sK8 = sK5) | ((sK3 @ sK8 @ sK2) = $true) | ($false = (sK3 @ sK6 @ sK5)) | (sK5 = sK6) | (~spl0_45 | ~spl0_64)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2622])).
% 69.55/11.08 thf(f2622,plain,(
% 69.55/11.08 (sK8 = sK5) | ($false = $true) | (sK5 = sK6) | ($false = (sK3 @ sK6 @ sK5)) | ((sK3 @ sK8 @ sK2) = $true) | (sK8 = sK2) | (~spl0_45 | ~spl0_64)),
% 69.55/11.08 inference(duplicate_literal_removal,[status(thm)],[f2565])).
% 69.55/11.08 thf(f2565,plain,(
% 69.55/11.08 ($false = $true) | (sK5 = sK6) | (sK8 = sK5) | (sK8 = sK2) | ($false = (sK3 @ sK6 @ sK5)) | (sK8 = sK5) | ((sK3 @ sK8 @ sK2) = $true) | (~spl0_45 | ~spl0_64)),
% 69.55/11.08 inference(superposition,[status(thm)],[f2513,f724])).
% 69.55/11.08 thf(f3117,plain,(
% 69.55/11.08 spl0_116 | spl0_115),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f1757,f3063,f3067])).
% 69.55/11.08 thf(f1757,plain,(
% 69.55/11.08 ( ! [X0 : $i] : ((sK6 = X0) | (sK8 = X0) | ($false = (~ (sK3 @ sK8 @ X0))) | ($false = (~ (sK3 @ sK8 @ sK6))) | ((~ (sK3 @ sK6 @ X0)) = $false)) )),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1745])).
% 69.55/11.08 thf(f1745,plain,(
% 69.55/11.08 ( ! [X0 : $i] : ((sK8 = X0) | ($false = $true) | (sK6 = X0) | ($false = (~ (sK3 @ sK8 @ X0))) | ((~ (sK3 @ sK6 @ X0)) = $false) | ($false = (~ (sK3 @ sK8 @ sK6)))) )),
% 69.55/11.08 inference(superposition,[status(thm)],[f38,f1328])).
% 69.55/11.08 thf(f3099,plain,(
% 69.55/11.08 ~spl0_45 | ~spl0_54 | ~spl0_56),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f3098])).
% 69.55/11.08 thf(f3098,plain,(
% 69.55/11.08 $false | (~spl0_45 | ~spl0_54 | ~spl0_56)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f3097])).
% 69.55/11.08 thf(f3097,plain,(
% 69.55/11.08 ($false = $true) | (~spl0_45 | ~spl0_54 | ~spl0_56)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f3096,f678])).
% 69.55/11.08 thf(f3096,plain,(
% 69.55/11.08 ((sK3 @ sK6 @ sK2) = $true) | (~spl0_45 | ~spl0_56)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f3095,f95])).
% 69.55/11.08 thf(f3095,plain,(
% 69.55/11.08 (sK5 = sK6) | ((sK3 @ sK6 @ sK2) = $true) | (~spl0_45 | ~spl0_56)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2611,f87])).
% 69.55/11.08 thf(f2611,plain,(
% 69.55/11.08 ((sK3 @ sK6 @ sK2) = $true) | (sK6 = sK2) | (sK5 = sK6) | (~spl0_45 | ~spl0_56)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2570])).
% 69.55/11.08 thf(f2570,plain,(
% 69.55/11.08 ((sK3 @ sK6 @ sK2) = $true) | (sK5 = sK6) | ($false = $true) | (sK6 = sK2) | (~spl0_45 | ~spl0_56)),
% 69.55/11.08 inference(superposition,[status(thm)],[f688,f2513])).
% 69.55/11.08 thf(f3017,plain,(
% 69.55/11.08 ~spl0_41 | ~spl0_97),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f3016])).
% 69.55/11.08 thf(f3016,plain,(
% 69.55/11.08 $false | (~spl0_41 | ~spl0_97)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f3015])).
% 69.55/11.08 thf(f3015,plain,(
% 69.55/11.08 ($false = $true) | (~spl0_41 | ~spl0_97)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f3014])).
% 69.55/11.08 thf(f3014,plain,(
% 69.55/11.08 ((~ $false) = $false) | (~spl0_41 | ~spl0_97)),
% 69.55/11.08 inference(backward_demodulation,[status(thm)],[f2886,f625])).
% 69.55/11.08 thf(f2886,plain,(
% 69.55/11.08 ((~ (sK3 @ sK7 @ sK2)) = $false) | ~spl0_97),
% 69.55/11.08 inference(avatar_component_clause,[status(thm)],[f2884])).
% 69.55/11.08 thf(f2884,definition,(
% 69.55/11.08 spl0_97 <=> ((~ (sK3 @ sK7 @ sK2)) = $false)),
% 69.55/11.08 introduced(definition,[new_symbols(naming,[spl0_97])],[avatar_definition])).
% 69.55/11.08 thf(f2909,plain,(
% 69.55/11.08 spl0_12 | ~spl0_66),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f2908])).
% 69.55/11.08 thf(f2908,plain,(
% 69.55/11.08 $false | (spl0_12 | ~spl0_66)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2907])).
% 69.55/11.08 thf(f2907,plain,(
% 69.55/11.08 ($false = $true) | (spl0_12 | ~spl0_66)),
% 69.55/11.08 inference(backward_demodulation,[status(thm)],[f1580,f734])).
% 69.55/11.08 thf(f1580,plain,(
% 69.55/11.08 ((sK3 @ sK6 @ sK4) = $true) | spl0_12),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1577])).
% 69.55/11.08 thf(f1577,plain,(
% 69.55/11.08 ((sK3 @ sK6 @ sK4) = $true) | ($false != $false) | spl0_12),
% 69.55/11.08 inference(superposition,[status(thm)],[f197,f58])).
% 69.55/11.08 thf(f2903,plain,(
% 69.55/11.08 ~spl0_7 | spl0_41),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f2902])).
% 69.55/11.08 thf(f2902,plain,(
% 69.55/11.08 $false | (~spl0_7 | spl0_41)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2901])).
% 69.55/11.08 thf(f2901,plain,(
% 69.55/11.08 ($false = $true) | (~spl0_7 | spl0_41)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f2900,f179])).
% 69.55/11.08 thf(f179,plain,(
% 69.55/11.08 ($false = (sK3 @ sK2 @ sK7)) | ~spl0_7),
% 69.55/11.08 inference(avatar_component_clause,[status(thm)],[f177])).
% 69.55/11.08 thf(f2900,plain,(
% 69.55/11.08 ((sK3 @ sK2 @ sK7) = $true) | spl0_41),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2896])).
% 69.55/11.08 thf(f2896,plain,(
% 69.55/11.08 ($false != $false) | ((sK3 @ sK2 @ sK7) = $true) | spl0_41),
% 69.55/11.08 inference(superposition,[status(thm)],[f624,f58])).
% 69.55/11.08 thf(f2891,plain,(
% 69.55/11.08 spl0_97 | spl0_98),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f1761,f2888,f2884])).
% 69.55/11.08 thf(f1761,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ (sK3 @ sK2 @ X0)) = $false) | (sK7 = X0) | ((~ (sK3 @ sK7 @ sK2)) = $false) | ((~ (sK3 @ sK7 @ X0)) = $false) | (sK2 = X0)) )),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1725])).
% 69.55/11.08 thf(f1725,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (($false = $true) | (sK2 = X0) | ((~ (sK3 @ sK7 @ sK2)) = $false) | (sK7 = X0) | ((~ (sK3 @ sK2 @ X0)) = $false) | ((~ (sK3 @ sK7 @ X0)) = $false)) )),
% 69.55/11.08 inference(superposition,[status(thm)],[f1328,f28])).
% 69.55/11.08 thf(f2882,plain,(
% 69.55/11.08 ~spl0_20 | ~spl0_21 | ~spl0_41),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f2881])).
% 69.55/11.08 thf(f2881,plain,(
% 69.55/11.08 $false | (~spl0_20 | ~spl0_21 | ~spl0_41)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2880])).
% 69.55/11.08 thf(f2880,plain,(
% 69.55/11.08 ($false = $true) | (~spl0_20 | ~spl0_21 | ~spl0_41)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f2879])).
% 69.55/11.08 thf(f2879,plain,(
% 69.55/11.08 ((~ $false) = $false) | (~spl0_20 | ~spl0_21 | ~spl0_41)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f2878,f237])).
% 69.55/11.08 thf(f2878,plain,(
% 69.55/11.08 ((~ (sK3 @ sK2 @ sK8)) = $false) | (~spl0_21 | ~spl0_41)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2877,f85])).
% 69.55/11.08 thf(f2877,plain,(
% 69.55/11.08 ((~ (sK3 @ sK2 @ sK8)) = $false) | (sK8 = sK7) | (~spl0_21 | ~spl0_41)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2813,f83])).
% 69.55/11.08 thf(f2813,plain,(
% 69.55/11.08 (sK8 = sK2) | (sK8 = sK7) | ((~ (sK3 @ sK2 @ sK8)) = $false) | (~spl0_21 | ~spl0_41)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2812])).
% 69.55/11.08 thf(f2812,plain,(
% 69.55/11.08 (sK8 = sK7) | (sK8 = sK2) | ($false = $true) | ((~ (sK3 @ sK2 @ sK8)) = $false) | (~spl0_21 | ~spl0_41)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f2796])).
% 69.55/11.08 thf(f2796,plain,(
% 69.55/11.08 ((~ $false) = $false) | (sK8 = sK7) | ((~ (sK3 @ sK2 @ sK8)) = $false) | (sK8 = sK2) | (~spl0_21 | ~spl0_41)),
% 69.55/11.08 inference(superposition,[status(thm)],[f1846,f244])).
% 69.55/11.08 thf(f244,plain,(
% 69.55/11.08 ((sK3 @ sK7 @ sK8) = $false) | ~spl0_21),
% 69.55/11.08 inference(avatar_component_clause,[status(thm)],[f242])).
% 69.55/11.08 thf(f1846,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ (sK3 @ sK7 @ X0)) = $false) | ((~ (sK3 @ sK2 @ X0)) = $false) | (sK7 = X0) | (sK2 = X0)) ) | ~spl0_41),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1845])).
% 69.55/11.08 thf(f1845,plain,(
% 69.55/11.08 ( ! [X0 : $i] : ((sK7 = X0) | ($false = $true) | (sK2 = X0) | ((~ (sK3 @ sK7 @ X0)) = $false) | ((~ (sK3 @ sK2 @ X0)) = $false)) ) | ~spl0_41),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f1844])).
% 69.55/11.08 thf(f1844,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ $false) = $false) | (sK7 = X0) | ((~ (sK3 @ sK2 @ X0)) = $false) | ((~ (sK3 @ sK7 @ X0)) = $false) | (sK2 = X0)) ) | ~spl0_41),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f1765,f625])).
% 69.55/11.08 thf(f1765,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ (sK3 @ sK2 @ X0)) = $false) | ((~ (sK3 @ sK7 @ X0)) = $false) | (sK7 = X0) | ((~ (sK3 @ sK7 @ sK2)) = $false) | (sK2 = X0)) )),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1740])).
% 69.55/11.08 thf(f1740,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (($false = $true) | ((~ (sK3 @ sK7 @ X0)) = $false) | (sK2 = X0) | (sK7 = X0) | ((~ (sK3 @ sK2 @ X0)) = $false) | ((~ (sK3 @ sK7 @ sK2)) = $false)) )),
% 69.55/11.08 inference(superposition,[status(thm)],[f28,f1328])).
% 69.55/11.08 thf(f2874,plain,(
% 69.55/11.08 ~spl0_20 | ~spl0_27 | ~spl0_41 | ~spl0_45),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f2873])).
% 69.55/11.08 thf(f2873,plain,(
% 69.55/11.08 $false | (~spl0_20 | ~spl0_27 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2872])).
% 69.55/11.08 thf(f2872,plain,(
% 69.55/11.08 ($false = $true) | (~spl0_20 | ~spl0_27 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f2871])).
% 69.55/11.08 thf(f2871,plain,(
% 69.55/11.08 ((~ $false) = $false) | (~spl0_20 | ~spl0_27 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f2870,f237])).
% 69.55/11.08 thf(f2870,plain,(
% 69.55/11.08 ((~ (sK3 @ sK2 @ sK8)) = $false) | (~spl0_27 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2869])).
% 69.55/11.08 thf(f2869,plain,(
% 69.55/11.08 ($false = $true) | ((~ (sK3 @ sK2 @ sK8)) = $false) | (~spl0_27 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f2868,f625])).
% 69.55/11.08 thf(f2868,plain,(
% 69.55/11.08 ((sK3 @ sK7 @ sK2) = $true) | ((~ (sK3 @ sK2 @ sK8)) = $false) | (~spl0_27 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2867,f83])).
% 69.55/11.08 thf(f2867,plain,(
% 69.55/11.08 (sK8 = sK2) | ((~ (sK3 @ sK2 @ sK8)) = $false) | ((sK3 @ sK7 @ sK2) = $true) | (~spl0_27 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2866,f79])).
% 69.55/11.08 thf(f2866,plain,(
% 69.55/11.08 ((sK3 @ sK7 @ sK2) = $true) | ((~ (sK3 @ sK2 @ sK8)) = $false) | (sK2 = sK7) | (sK8 = sK2) | (~spl0_27 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2865,f265])).
% 69.55/11.08 thf(f2865,plain,(
% 69.55/11.08 ((sK3 @ sK7 @ sK2) = $true) | (sK5 = sK7) | (sK8 = sK2) | (sK2 = sK7) | ((~ (sK3 @ sK2 @ sK8)) = $false) | (~spl0_27 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2816,f85])).
% 69.55/11.08 thf(f2816,plain,(
% 69.55/11.08 (sK8 = sK7) | ((sK3 @ sK7 @ sK2) = $true) | ((~ (sK3 @ sK2 @ sK8)) = $false) | (sK5 = sK7) | (sK2 = sK7) | (sK8 = sK2) | (~spl0_27 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2815])).
% 69.55/11.08 thf(f2815,plain,(
% 69.55/11.08 (sK5 = sK7) | ((sK3 @ sK7 @ sK2) = $true) | (sK2 = sK7) | (sK8 = sK2) | ((~ (sK3 @ sK2 @ sK8)) = $false) | ($false = $true) | (sK8 = sK7) | (~spl0_27 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f2814])).
% 69.55/11.08 thf(f2814,plain,(
% 69.55/11.08 (sK8 = sK7) | (sK8 = sK2) | (sK5 = sK7) | ((sK3 @ sK7 @ sK2) = $true) | (sK2 = sK7) | ((~ (sK3 @ sK2 @ sK8)) = $false) | ((~ $false) = $false) | (~spl0_27 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(duplicate_literal_removal,[status(thm)],[f2804])).
% 69.55/11.08 thf(f2804,plain,(
% 69.55/11.08 (sK8 = sK7) | (sK5 = sK7) | (sK8 = sK2) | ((~ $false) = $false) | ((sK3 @ sK7 @ sK2) = $true) | (sK8 = sK7) | ((~ (sK3 @ sK2 @ sK8)) = $false) | (sK2 = sK7) | (~spl0_27 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(superposition,[status(thm)],[f1846,f2509])).
% 69.55/11.08 thf(f2509,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ X0 @ sK8) = $false) | ((sK3 @ X0 @ sK2) = $true) | (sK2 = X0) | (sK8 = X0) | (sK5 = X0)) ) | (~spl0_27 | ~spl0_45)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2508])).
% 69.55/11.08 thf(f2508,plain,(
% 69.55/11.08 ( ! [X0 : $i] : ((sK8 = X0) | (sK2 = X0) | (sK5 = X0) | ((sK3 @ X0 @ sK8) = $false) | ((sK3 @ X0 @ sK2) = $true) | ($false = $true)) ) | (~spl0_27 | ~spl0_45)),
% 69.55/11.08 inference(duplicate_literal_removal,[status(thm)],[f2483])).
% 69.55/11.08 thf(f2483,plain,(
% 69.55/11.08 ( ! [X0 : $i] : ((sK2 = X0) | (sK8 = X0) | ((sK3 @ X0 @ sK2) = $true) | (sK5 = X0) | (sK5 = X0) | ($false = $true) | ((sK3 @ X0 @ sK8) = $false)) ) | (~spl0_27 | ~spl0_45)),
% 69.55/11.08 inference(superposition,[status(thm)],[f2426,f790])).
% 69.55/11.08 thf(f790,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK5 @ X0) = $false) | (sK5 = X0) | ((sK3 @ X0 @ sK8) = $false) | (sK8 = X0)) ) | ~spl0_27),
% 69.55/11.08 inference(equality_proxy_clausification,[status(thm)],[f781])).
% 69.55/11.08 thf(f781,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ X0 @ sK8) = $false) | ((sK3 @ sK5 @ X0) = $false) | ((sK5 = X0) = $true) | (sK8 = X0)) ) | ~spl0_27),
% 69.55/11.08 inference(not_proxy_clausification,[status(thm)],[f780])).
% 69.55/11.08 thf(f780,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ (sK5 = X0)) = $false) | ((sK3 @ sK5 @ X0) = $false) | ((sK3 @ X0 @ sK8) = $false) | (sK8 = X0)) ) | ~spl0_27),
% 69.55/11.08 inference(equality_proxy_clausification,[status(thm)],[f755])).
% 69.55/11.08 thf(f755,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ (sK5 = X0)) = $false) | ((sK3 @ sK5 @ X0) = $false) | ((sK3 @ X0 @ sK8) = $false) | ((sK8 = X0) = $true)) ) | ~spl0_27),
% 69.55/11.08 inference(not_proxy_clausification,[status(thm)],[f289])).
% 69.55/11.08 thf(f289,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ (sK8 = X0)) = $false) | ((sK3 @ X0 @ sK8) = $false) | ((~ (sK5 = X0)) = $false) | ((sK3 @ sK5 @ X0) = $false)) ) | ~spl0_27),
% 69.55/11.08 inference(avatar_component_clause,[status(thm)],[f288])).
% 69.55/11.08 thf(f288,definition,(
% 69.55/11.08 spl0_27 <=> ! [X0 : $i] : (((sK3 @ X0 @ sK8) = $false) | ((sK3 @ sK5 @ X0) = $false) | ((~ (sK5 = X0)) = $false) | ((~ (sK8 = X0)) = $false))),
% 69.55/11.08 introduced(definition,[new_symbols(naming,[spl0_27])],[avatar_definition])).
% 69.55/11.08 thf(f2864,plain,(
% 69.55/11.08 ~spl0_18 | ~spl0_34 | ~spl0_41 | ~spl0_45),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f2863])).
% 69.55/11.08 thf(f2863,plain,(
% 69.55/11.08 $false | (~spl0_18 | ~spl0_34 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2862])).
% 69.55/11.08 thf(f2862,plain,(
% 69.55/11.08 ($false = $true) | (~spl0_18 | ~spl0_34 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f2861])).
% 69.55/11.08 thf(f2861,plain,(
% 69.55/11.08 ((~ $false) = $false) | (~spl0_18 | ~spl0_34 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f2860,f223])).
% 69.55/11.08 thf(f2860,plain,(
% 69.55/11.08 ($false = (~ (sK3 @ sK2 @ sK4))) | (~spl0_34 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2859])).
% 69.55/11.08 thf(f2859,plain,(
% 69.55/11.08 ($false = $true) | ($false = (~ (sK3 @ sK2 @ sK4))) | (~spl0_34 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f2858,f625])).
% 69.55/11.08 thf(f2858,plain,(
% 69.55/11.08 ((sK3 @ sK7 @ sK2) = $true) | ($false = (~ (sK3 @ sK2 @ sK4))) | (~spl0_34 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2857,f265])).
% 69.55/11.08 thf(f2857,plain,(
% 69.55/11.08 (sK5 = sK7) | ($false = (~ (sK3 @ sK2 @ sK4))) | ((sK3 @ sK7 @ sK2) = $true) | (~spl0_34 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2856,f310])).
% 69.55/11.08 thf(f2856,plain,(
% 69.55/11.08 ($false = (~ (sK3 @ sK2 @ sK4))) | (sK4 = sK7) | (sK5 = sK7) | ((sK3 @ sK7 @ sK2) = $true) | (~spl0_34 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2855,f79])).
% 69.55/11.08 thf(f2855,plain,(
% 69.55/11.08 (sK2 = sK7) | (sK4 = sK7) | (sK5 = sK7) | ($false = (~ (sK3 @ sK2 @ sK4))) | ((sK3 @ sK7 @ sK2) = $true) | (~spl0_34 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2819,f91])).
% 69.55/11.08 thf(f2819,plain,(
% 69.55/11.08 ($false = (~ (sK3 @ sK2 @ sK4))) | ((sK3 @ sK7 @ sK2) = $true) | (sK4 = sK2) | (sK2 = sK7) | (sK5 = sK7) | (sK4 = sK7) | (~spl0_34 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2818])).
% 69.55/11.08 thf(f2818,plain,(
% 69.55/11.08 (sK2 = sK7) | ((sK3 @ sK7 @ sK2) = $true) | (sK4 = sK7) | ($false = (~ (sK3 @ sK2 @ sK4))) | ($false = $true) | (sK5 = sK7) | (sK4 = sK2) | (~spl0_34 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f2817])).
% 69.55/11.08 thf(f2817,plain,(
% 69.55/11.08 ((sK3 @ sK7 @ sK2) = $true) | ($false = (~ (sK3 @ sK2 @ sK4))) | (sK5 = sK7) | ((~ $false) = $false) | (sK4 = sK7) | (sK4 = sK2) | (sK2 = sK7) | (~spl0_34 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(duplicate_literal_removal,[status(thm)],[f2799])).
% 69.55/11.08 thf(f2799,plain,(
% 69.55/11.08 (sK4 = sK7) | ((~ $false) = $false) | (sK4 = sK7) | ((sK3 @ sK7 @ sK2) = $true) | (sK5 = sK7) | (sK4 = sK2) | (sK2 = sK7) | ($false = (~ (sK3 @ sK2 @ sK4))) | (~spl0_34 | ~spl0_41 | ~spl0_45)),
% 69.55/11.08 inference(superposition,[status(thm)],[f1846,f2626])).
% 69.55/11.08 thf(f2854,plain,(
% 69.55/11.08 ~spl0_18 | ~spl0_41 | ~spl0_59),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f2853])).
% 69.55/11.08 thf(f2853,plain,(
% 69.55/11.08 $false | (~spl0_18 | ~spl0_41 | ~spl0_59)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2852])).
% 69.55/11.08 thf(f2852,plain,(
% 69.55/11.08 ($false = $true) | (~spl0_18 | ~spl0_41 | ~spl0_59)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f2851])).
% 69.55/11.08 thf(f2851,plain,(
% 69.55/11.08 ((~ $false) = $false) | (~spl0_18 | ~spl0_41 | ~spl0_59)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f2850,f223])).
% 69.55/11.08 thf(f2850,plain,(
% 69.55/11.08 ($false = (~ (sK3 @ sK2 @ sK4))) | (~spl0_41 | ~spl0_59)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2849,f310])).
% 69.55/11.08 thf(f2849,plain,(
% 69.55/11.08 (sK4 = sK7) | ($false = (~ (sK3 @ sK2 @ sK4))) | (~spl0_41 | ~spl0_59)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2835,f91])).
% 69.55/11.08 thf(f2835,plain,(
% 69.55/11.08 (sK4 = sK2) | ($false = (~ (sK3 @ sK2 @ sK4))) | (sK4 = sK7) | (~spl0_41 | ~spl0_59)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2834])).
% 69.55/11.08 thf(f2834,plain,(
% 69.55/11.08 (sK4 = sK7) | (sK4 = sK2) | ($false = (~ (sK3 @ sK2 @ sK4))) | ($false = $true) | (~spl0_41 | ~spl0_59)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f2793])).
% 69.55/11.08 thf(f2793,plain,(
% 69.55/11.08 (sK4 = sK2) | (sK4 = sK7) | ((~ $false) = $false) | ($false = (~ (sK3 @ sK2 @ sK4))) | (~spl0_41 | ~spl0_59)),
% 69.55/11.08 inference(superposition,[status(thm)],[f1846,f705])).
% 69.55/11.08 thf(f2209,plain,(
% 69.55/11.08 spl0_28 | ~spl0_50),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f2208])).
% 69.55/11.08 thf(f2208,plain,(
% 69.55/11.08 $false | (spl0_28 | ~spl0_50)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2207])).
% 69.55/11.08 thf(f2207,plain,(
% 69.55/11.08 ($false = $true) | (spl0_28 | ~spl0_50)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f2206,f662])).
% 69.55/11.08 thf(f2206,plain,(
% 69.55/11.08 ((sK3 @ sK8 @ sK5) = $true) | spl0_28),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2203])).
% 69.55/11.08 thf(f2203,plain,(
% 69.55/11.08 ($false != $false) | ((sK3 @ sK8 @ sK5) = $true) | spl0_28),
% 69.55/11.08 inference(superposition,[status(thm)],[f292,f58])).
% 69.55/11.08 thf(f2119,plain,(
% 69.55/11.08 ~spl0_18 | ~spl0_45 | ~spl0_52),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f2118])).
% 69.55/11.08 thf(f2118,plain,(
% 69.55/11.08 $false | (~spl0_18 | ~spl0_45 | ~spl0_52)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2117])).
% 69.55/11.08 thf(f2117,plain,(
% 69.55/11.08 ($false = $true) | (~spl0_18 | ~spl0_45 | ~spl0_52)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f2116])).
% 69.55/11.08 thf(f2116,plain,(
% 69.55/11.08 ((~ $false) = $false) | (~spl0_18 | ~spl0_45 | ~spl0_52)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f2115,f223])).
% 69.55/11.08 thf(f2115,plain,(
% 69.55/11.08 ($false = (~ (sK3 @ sK2 @ sK4))) | (~spl0_45 | ~spl0_52)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2114,f81])).
% 69.55/11.08 thf(f2114,plain,(
% 69.55/11.08 ($false = (~ (sK3 @ sK2 @ sK4))) | (sK5 = sK4) | (~spl0_45 | ~spl0_52)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2113,f91])).
% 69.55/11.08 thf(f2113,plain,(
% 69.55/11.08 ($false = (~ (sK3 @ sK2 @ sK4))) | (sK4 = sK2) | (sK5 = sK4) | (~spl0_45 | ~spl0_52)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2112])).
% 69.55/11.08 thf(f2112,plain,(
% 69.55/11.08 ($false = $true) | (sK5 = sK4) | ($false = (~ (sK3 @ sK2 @ sK4))) | (sK4 = sK2) | (~spl0_45 | ~spl0_52)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f2089])).
% 69.55/11.08 thf(f2089,plain,(
% 69.55/11.08 (sK4 = sK2) | ($false = (~ (sK3 @ sK2 @ sK4))) | ((~ $false) = $false) | (sK5 = sK4) | (~spl0_45 | ~spl0_52)),
% 69.55/11.08 inference(superposition,[status(thm)],[f1849,f670])).
% 69.55/11.08 thf(f2084,plain,(
% 69.55/11.08 spl0_6 | spl0_12 | ~spl0_44),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f2083])).
% 69.55/11.08 thf(f2083,plain,(
% 69.55/11.08 $false | (spl0_6 | spl0_12 | ~spl0_44)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2082,f87])).
% 69.55/11.08 thf(f2082,plain,(
% 69.55/11.08 (sK6 = sK2) | (spl0_6 | spl0_12 | ~spl0_44)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2081,f173])).
% 69.55/11.08 thf(f2081,plain,(
% 69.55/11.08 ((sK3 @ sK2 @ sK6) = $false) | (sK6 = sK2) | (spl0_12 | ~spl0_44)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f2070,f75])).
% 69.55/11.08 thf(f2070,plain,(
% 69.55/11.08 (sK6 = sK4) | ((sK3 @ sK2 @ sK6) = $false) | (sK6 = sK2) | (spl0_12 | ~spl0_44)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2069])).
% 69.55/11.08 thf(f2069,plain,(
% 69.55/11.08 ((sK3 @ sK2 @ sK6) = $false) | (sK6 = sK2) | ($false != $false) | (sK6 = sK4) | (spl0_12 | ~spl0_44)),
% 69.55/11.08 inference(superposition,[status(thm)],[f197,f637])).
% 69.55/11.08 thf(f2061,plain,(
% 69.55/11.08 spl0_50 | spl0_81),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f2051,f1786,f660])).
% 69.55/11.08 thf(f1786,definition,(
% 69.55/11.08 spl0_81 <=> ($false = (~ (sK3 @ sK8 @ sK5)))),
% 69.55/11.08 introduced(definition,[new_symbols(naming,[spl0_81])],[avatar_definition])).
% 69.55/11.08 thf(f2051,plain,(
% 69.55/11.08 ((sK3 @ sK8 @ sK5) = $false) | spl0_81),
% 69.55/11.08 inference(not_proxy_clausification,[status(thm)],[f1787])).
% 69.55/11.08 thf(f1787,plain,(
% 69.55/11.08 ($false != (~ (sK3 @ sK8 @ sK5))) | spl0_81),
% 69.55/11.08 inference(avatar_component_clause,[status(thm)],[f1786])).
% 69.55/11.08 thf(f2048,plain,(
% 69.55/11.08 ~spl0_28 | ~spl0_81),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f2047])).
% 69.55/11.08 thf(f2047,plain,(
% 69.55/11.08 $false | (~spl0_28 | ~spl0_81)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2046])).
% 69.55/11.08 thf(f2046,plain,(
% 69.55/11.08 ($false = $true) | (~spl0_28 | ~spl0_81)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f2040,f293])).
% 69.55/11.08 thf(f2040,plain,(
% 69.55/11.08 ((sK3 @ sK5 @ sK8) = $true) | ~spl0_81),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f2039])).
% 69.55/11.08 thf(f2039,plain,(
% 69.55/11.08 ((sK3 @ sK5 @ sK8) = $true) | ($false = $true) | ~spl0_81),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f2034])).
% 69.55/11.08 thf(f2034,plain,(
% 69.55/11.08 ((~ $false) = $false) | ((sK3 @ sK5 @ sK8) = $true) | ~spl0_81),
% 69.55/11.08 inference(superposition,[status(thm)],[f1788,f58])).
% 69.55/11.08 thf(f1788,plain,(
% 69.55/11.08 ($false = (~ (sK3 @ sK8 @ sK5))) | ~spl0_81),
% 69.55/11.08 inference(avatar_component_clause,[status(thm)],[f1786])).
% 69.55/11.08 thf(f1971,plain,(
% 69.55/11.08 ~spl0_16 | ~spl0_75),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f1970])).
% 69.55/11.08 thf(f1970,plain,(
% 69.55/11.08 $false | (~spl0_16 | ~spl0_75)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1969])).
% 69.55/11.08 thf(f1969,plain,(
% 69.55/11.08 ($false = $true) | (~spl0_16 | ~spl0_75)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f1968])).
% 69.55/11.08 thf(f1968,plain,(
% 69.55/11.08 ((~ $false) = $false) | (~spl0_16 | ~spl0_75)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f1199,f215])).
% 69.55/11.08 thf(f1199,plain,(
% 69.55/11.08 ((~ (sK3 @ sK4 @ sK5)) = $false) | ~spl0_75),
% 69.55/11.08 inference(avatar_component_clause,[status(thm)],[f1197])).
% 69.55/11.08 thf(f1197,definition,(
% 69.55/11.08 spl0_75 <=> ((~ (sK3 @ sK4 @ sK5)) = $false)),
% 69.55/11.08 introduced(definition,[new_symbols(naming,[spl0_75])],[avatar_definition])).
% 69.55/11.08 thf(f1967,plain,(
% 69.55/11.08 spl0_91 | spl0_92),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f1777,f1953,f1950])).
% 69.55/11.08 thf(f1777,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ (sK3 @ sK5 @ X0)) = $false) | ((~ (sK3 @ sK4 @ X0)) = $false) | (sK4 = X0) | (sK5 = X0) | ((~ (sK3 @ sK5 @ sK4)) = $false)) )),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1741])).
% 69.55/11.08 thf(f1741,plain,(
% 69.55/11.08 ( ! [X0 : $i] : ((sK4 = X0) | ((~ (sK3 @ sK4 @ X0)) = $false) | (sK5 = X0) | ((~ (sK3 @ sK5 @ X0)) = $false) | ($false = $true) | ((~ (sK3 @ sK5 @ sK4)) = $false)) )),
% 69.55/11.08 inference(superposition,[status(thm)],[f30,f1328])).
% 69.55/11.08 thf(f1963,plain,(
% 69.55/11.08 ~spl0_16 | spl0_52),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f1962])).
% 69.55/11.08 thf(f1962,plain,(
% 69.55/11.08 $false | (~spl0_16 | spl0_52)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1961])).
% 69.55/11.08 thf(f1961,plain,(
% 69.55/11.08 ($false = $true) | (~spl0_16 | spl0_52)),
% 69.55/11.08 inference(backward_demodulation,[status(thm)],[f1650,f215])).
% 69.55/11.08 thf(f1650,plain,(
% 69.55/11.08 ((sK3 @ sK4 @ sK5) = $true) | spl0_52),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1647])).
% 69.55/11.08 thf(f1647,plain,(
% 69.55/11.08 ((sK3 @ sK4 @ sK5) = $true) | ($false != $false) | spl0_52),
% 69.55/11.08 inference(superposition,[status(thm)],[f669,f58])).
% 69.55/11.08 thf(f1852,plain,(
% 69.55/11.08 spl0_84 | spl0_83),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f1756,f1819,f1822])).
% 69.55/11.08 thf(f1756,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ (sK3 @ sK8 @ sK7)) = $false) | (sK7 = X0) | ($false = (~ (sK3 @ sK8 @ X0))) | ((~ (sK3 @ sK7 @ X0)) = $false) | (sK8 = X0)) )),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1743])).
% 69.55/11.08 thf(f1743,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (($false = $true) | (sK7 = X0) | ((~ (sK3 @ sK8 @ sK7)) = $false) | (sK8 = X0) | ((~ (sK3 @ sK7 @ X0)) = $false) | ($false = (~ (sK3 @ sK8 @ X0)))) )),
% 69.55/11.08 inference(superposition,[status(thm)],[f34,f1328])).
% 69.55/11.08 thf(f1643,plain,(
% 69.55/11.08 spl0_16 | ~spl0_52),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f1642])).
% 69.55/11.08 thf(f1642,plain,(
% 69.55/11.08 $false | (spl0_16 | ~spl0_52)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1641])).
% 69.55/11.08 thf(f1641,plain,(
% 69.55/11.08 ($false = $true) | (spl0_16 | ~spl0_52)),
% 69.55/11.08 inference(backward_demodulation,[status(thm)],[f1215,f670])).
% 69.55/11.08 thf(f1215,plain,(
% 69.55/11.08 ((sK3 @ sK5 @ sK4) = $true) | spl0_16),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1214])).
% 69.55/11.08 thf(f1214,plain,(
% 69.55/11.08 ($false != $false) | ((sK3 @ sK5 @ sK4) = $true) | spl0_16),
% 69.55/11.08 inference(superposition,[status(thm)],[f214,f58])).
% 69.55/11.08 thf(f1531,plain,(
% 69.55/11.08 ~spl0_30 | ~spl0_58 | ~spl0_70),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f1530])).
% 69.55/11.08 thf(f1530,plain,(
% 69.55/11.08 $false | (~spl0_30 | ~spl0_58 | ~spl0_70)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1529])).
% 69.55/11.08 thf(f1529,plain,(
% 69.55/11.08 ($false = $true) | (~spl0_30 | ~spl0_58 | ~spl0_70)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f1528])).
% 69.55/11.08 thf(f1528,plain,(
% 69.55/11.08 ((~ $false) = $false) | (~spl0_30 | ~spl0_58 | ~spl0_70)),
% 69.55/11.08 inference(backward_demodulation,[status(thm)],[f1456,f699])).
% 69.55/11.08 thf(f1456,plain,(
% 69.55/11.08 ($false = (~ (sK3 @ sK7 @ sK6))) | (~spl0_30 | ~spl0_70)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f1455,f279])).
% 69.55/11.08 thf(f1455,plain,(
% 69.55/11.08 ($false = (~ (sK3 @ sK7 @ sK6))) | (sK6 = sK7) | (~spl0_30 | ~spl0_70)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f1437,f310])).
% 69.55/11.08 thf(f1437,plain,(
% 69.55/11.08 (sK4 = sK7) | (sK6 = sK7) | ($false = (~ (sK3 @ sK7 @ sK6))) | (~spl0_30 | ~spl0_70)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1436])).
% 69.55/11.08 thf(f1436,plain,(
% 69.55/11.08 ($false = $true) | ($false = (~ (sK3 @ sK7 @ sK6))) | (sK4 = sK7) | (sK6 = sK7) | (~spl0_30 | ~spl0_70)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f1422])).
% 69.55/11.08 thf(f1422,plain,(
% 69.55/11.08 ((~ $false) = $false) | (sK4 = sK7) | (sK6 = sK7) | ($false = (~ (sK3 @ sK7 @ sK6))) | (~spl0_30 | ~spl0_70)),
% 69.55/11.08 inference(superposition,[status(thm)],[f1402,f307])).
% 69.55/11.08 thf(f1402,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ (sK3 @ sK4 @ X0)) = $false) | (sK4 = X0) | ((~ (sK3 @ X0 @ sK6)) = $false) | (sK6 = X0)) ) | ~spl0_70),
% 69.55/11.08 inference(equality_proxy_clausification,[status(thm)],[f1389])).
% 69.55/11.08 thf(f1389,plain,(
% 69.55/11.08 ( ! [X0 : $i] : ((sK6 = X0) | ((~ (sK3 @ X0 @ sK6)) = $false) | ((sK4 = X0) = $true) | ((~ (sK3 @ sK4 @ X0)) = $false)) ) | ~spl0_70),
% 69.55/11.08 inference(not_proxy_clausification,[status(thm)],[f1181])).
% 69.55/11.08 thf(f1181,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ (sK4 = X0)) = $false) | ((~ (sK3 @ X0 @ sK6)) = $false) | (sK6 = X0) | ((~ (sK3 @ sK4 @ X0)) = $false)) ) | ~spl0_70),
% 69.55/11.08 inference(equality_proxy_clausification,[status(thm)],[f1155])).
% 69.55/11.08 thf(f1155,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ (sK3 @ X0 @ sK6)) = $false) | ((~ (sK3 @ sK4 @ X0)) = $false) | ((sK6 = X0) = $true) | ((~ (sK4 = X0)) = $false)) ) | ~spl0_70),
% 69.55/11.08 inference(not_proxy_clausification,[status(thm)],[f980])).
% 69.55/11.08 thf(f980,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ (sK6 = X0)) = $false) | ((~ (sK4 = X0)) = $false) | ((~ (sK3 @ X0 @ sK6)) = $false) | ((~ (sK3 @ sK4 @ X0)) = $false)) ) | ~spl0_70),
% 69.55/11.08 inference(avatar_component_clause,[status(thm)],[f979])).
% 69.55/11.08 thf(f979,definition,(
% 69.55/11.08 spl0_70 <=> ! [X0 : $i] : (((~ (sK3 @ sK4 @ X0)) = $false) | ((~ (sK4 = X0)) = $false) | ((~ (sK3 @ X0 @ sK6)) = $false) | ((~ (sK6 = X0)) = $false))),
% 69.55/11.08 introduced(definition,[new_symbols(naming,[spl0_70])],[avatar_definition])).
% 69.55/11.08 thf(f1527,plain,(
% 69.55/11.08 spl0_58 | ~spl0_61 | spl0_63),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f1526,f719,f711,f697])).
% 69.55/11.08 thf(f1526,plain,(
% 69.55/11.08 ((sK3 @ sK7 @ sK6) = $false) | (~spl0_61 | spl0_63)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f1525,f89])).
% 69.55/11.08 thf(f1525,plain,(
% 69.55/11.08 (sK8 = sK6) | ((sK3 @ sK7 @ sK6) = $false) | (~spl0_61 | spl0_63)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f1513,f279])).
% 69.55/11.08 thf(f1513,plain,(
% 69.55/11.08 (sK6 = sK7) | ((sK3 @ sK7 @ sK6) = $false) | (sK8 = sK6) | (~spl0_61 | spl0_63)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1509])).
% 69.55/11.08 thf(f1509,plain,(
% 69.55/11.08 ($false != $false) | (sK8 = sK6) | (sK6 = sK7) | ((sK3 @ sK7 @ sK6) = $false) | (~spl0_61 | spl0_63)),
% 69.55/11.08 inference(superposition,[status(thm)],[f720,f712])).
% 69.55/11.08 thf(f1481,plain,(
% 69.55/11.08 ~spl0_6 | ~spl0_72),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f1480])).
% 69.55/11.08 thf(f1480,plain,(
% 69.55/11.08 $false | (~spl0_6 | ~spl0_72)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1479])).
% 69.55/11.08 thf(f1479,plain,(
% 69.55/11.08 ($false = $true) | (~spl0_6 | ~spl0_72)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f1478])).
% 69.55/11.08 thf(f1478,plain,(
% 69.55/11.08 ((~ $false) = $false) | (~spl0_6 | ~spl0_72)),
% 69.55/11.08 inference(backward_demodulation,[status(thm)],[f1002,f174])).
% 69.55/11.08 thf(f1002,plain,(
% 69.55/11.08 ((~ (sK3 @ sK2 @ sK6)) = $false) | ~spl0_72),
% 69.55/11.08 inference(avatar_component_clause,[status(thm)],[f1000])).
% 69.55/11.08 thf(f1466,plain,(
% 69.55/11.08 spl0_63 | spl0_68 | ~spl0_33),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f1465,f417,f744,f719])).
% 69.55/11.08 thf(f1465,plain,(
% 69.55/11.08 ((sK3 @ sK8 @ sK6) = $false) | ((sK3 @ sK8 @ sK2) = $false) | ~spl0_33),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f1115,f89])).
% 69.55/11.08 thf(f1115,plain,(
% 69.55/11.08 (sK8 = sK6) | ((sK3 @ sK8 @ sK2) = $false) | ((sK3 @ sK8 @ sK6) = $false) | ~spl0_33),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1108])).
% 69.55/11.08 thf(f1108,plain,(
% 69.55/11.08 ((sK3 @ sK8 @ sK2) = $false) | (sK8 = sK6) | ((sK3 @ sK8 @ sK6) = $false) | ($false = $true) | ~spl0_33),
% 69.55/11.08 inference(superposition,[status(thm)],[f32,f418])).
% 69.55/11.08 thf(f418,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (($false = (~ (X0 = sK2))) | ((sK3 @ X0 @ sK2) = $false) | (sK6 = X0) | ((sK3 @ X0 @ sK6) = $false)) ) | ~spl0_33),
% 69.55/11.08 inference(avatar_component_clause,[status(thm)],[f417])).
% 69.55/11.08 thf(f1454,plain,(
% 69.55/11.08 ~spl0_9 | ~spl0_63 | ~spl0_70),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f1453])).
% 69.55/11.08 thf(f1453,plain,(
% 69.55/11.08 $false | (~spl0_9 | ~spl0_63 | ~spl0_70)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1452])).
% 69.55/11.08 thf(f1452,plain,(
% 69.55/11.08 ($false = $true) | (~spl0_9 | ~spl0_63 | ~spl0_70)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f1451])).
% 69.55/11.08 thf(f1451,plain,(
% 69.55/11.08 ((~ $false) = $false) | (~spl0_9 | ~spl0_63 | ~spl0_70)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f1450,f721])).
% 69.55/11.08 thf(f1450,plain,(
% 69.55/11.08 ($false = (~ (sK3 @ sK8 @ sK6))) | (~spl0_9 | ~spl0_70)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f1449,f89])).
% 69.55/11.08 thf(f1449,plain,(
% 69.55/11.08 ($false = (~ (sK3 @ sK8 @ sK6))) | (sK8 = sK6) | (~spl0_9 | ~spl0_70)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f1439,f93])).
% 69.55/11.08 thf(f1439,plain,(
% 69.55/11.08 ($false = (~ (sK3 @ sK8 @ sK6))) | (sK8 = sK4) | (sK8 = sK6) | (~spl0_9 | ~spl0_70)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1438])).
% 69.55/11.08 thf(f1438,plain,(
% 69.55/11.08 ($false = $true) | (sK8 = sK6) | (sK8 = sK4) | ($false = (~ (sK3 @ sK8 @ sK6))) | (~spl0_9 | ~spl0_70)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f1423])).
% 69.55/11.08 thf(f1423,plain,(
% 69.55/11.08 (sK8 = sK6) | (sK8 = sK4) | ($false = (~ (sK3 @ sK8 @ sK6))) | ((~ $false) = $false) | (~spl0_9 | ~spl0_70)),
% 69.55/11.08 inference(superposition,[status(thm)],[f1402,f187])).
% 69.55/11.08 thf(f1385,plain,(
% 69.55/11.08 spl0_66 | spl0_56 | ~spl0_34),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f1384,f421,f686,f732])).
% 69.55/11.08 thf(f1384,plain,(
% 69.55/11.08 ($false = (sK3 @ sK6 @ sK4)) | ($false = (sK3 @ sK6 @ sK5)) | ~spl0_34),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f1376,f95])).
% 69.55/11.08 thf(f1376,plain,(
% 69.55/11.08 (sK5 = sK6) | ($false = (sK3 @ sK6 @ sK4)) | ($false = (sK3 @ sK6 @ sK5)) | ~spl0_34),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1367])).
% 69.55/11.08 thf(f1367,plain,(
% 69.55/11.08 ($false = (sK3 @ sK6 @ sK5)) | ($false = (sK3 @ sK6 @ sK4)) | ($false = $true) | (sK5 = sK6) | ~spl0_34),
% 69.55/11.08 inference(superposition,[status(thm)],[f422,f24])).
% 69.55/11.08 thf(f1208,plain,(
% 69.55/11.08 spl0_74 | spl0_75 | ~spl0_3 | ~spl0_70),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f1207,f979,f161,f1197,f1193])).
% 69.55/11.08 thf(f1207,plain,(
% 69.55/11.08 ((~ (sK4 = sK5)) = $false) | ((~ (sK3 @ sK4 @ sK5)) = $false) | (~spl0_3 | ~spl0_70)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1206])).
% 69.55/11.08 thf(f1206,plain,(
% 69.55/11.08 ((~ (sK3 @ sK4 @ sK5)) = $false) | ($false = $true) | ((~ (sK4 = sK5)) = $false) | (~spl0_3 | ~spl0_70)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f1205])).
% 69.55/11.08 thf(f1205,plain,(
% 69.55/11.08 ((~ (sK4 = sK5)) = $false) | ((~ $false) = $false) | ((~ (sK3 @ sK4 @ sK5)) = $false) | (~spl0_3 | ~spl0_70)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f1162,f163])).
% 69.55/11.08 thf(f163,plain,(
% 69.55/11.08 ((sK3 @ sK5 @ sK6) = $false) | ~spl0_3),
% 69.55/11.08 inference(avatar_component_clause,[status(thm)],[f161])).
% 69.55/11.08 thf(f1162,plain,(
% 69.55/11.08 ((~ (sK3 @ sK4 @ sK5)) = $false) | ((~ (sK4 = sK5)) = $false) | ((~ (sK3 @ sK5 @ sK6)) = $false) | ~spl0_70),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1161])).
% 69.55/11.08 thf(f1161,plain,(
% 69.55/11.08 ((~ (sK3 @ sK5 @ sK6)) = $false) | ((~ (sK4 = sK5)) = $false) | ($false = $true) | ((~ (sK3 @ sK4 @ sK5)) = $false) | ~spl0_70),
% 69.55/11.08 inference(superposition,[status(thm)],[f46,f980])).
% 69.55/11.08 thf(f1188,plain,(
% 69.55/11.08 ~spl0_3 | ~spl0_16 | ~spl0_70),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f1187])).
% 69.55/11.08 thf(f1187,plain,(
% 69.55/11.08 $false | (~spl0_3 | ~spl0_16 | ~spl0_70)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f1186,f81])).
% 69.55/11.08 thf(f1186,plain,(
% 69.55/11.08 (sK5 = sK4) | (~spl0_3 | ~spl0_16 | ~spl0_70)),
% 69.55/11.08 inference(equality_proxy_clausification,[status(thm)],[f1185])).
% 69.55/11.08 thf(f1185,plain,(
% 69.55/11.08 ((sK4 = sK5) = $true) | (~spl0_3 | ~spl0_16 | ~spl0_70)),
% 69.55/11.08 inference(not_proxy_clausification,[status(thm)],[f1180])).
% 69.55/11.08 thf(f1180,plain,(
% 69.55/11.08 ((~ (sK4 = sK5)) = $false) | (~spl0_3 | ~spl0_16 | ~spl0_70)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1179])).
% 69.55/11.08 thf(f1179,plain,(
% 69.55/11.08 ($false = $true) | ((~ (sK4 = sK5)) = $false) | (~spl0_3 | ~spl0_16 | ~spl0_70)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f1178])).
% 69.55/11.08 thf(f1178,plain,(
% 69.55/11.08 ((~ (sK4 = sK5)) = $false) | ((~ $false) = $false) | (~spl0_3 | ~spl0_16 | ~spl0_70)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f1177,f163])).
% 69.55/11.08 thf(f1177,plain,(
% 69.55/11.08 ((~ (sK4 = sK5)) = $false) | ((~ (sK3 @ sK5 @ sK6)) = $false) | (~spl0_16 | ~spl0_70)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1176])).
% 69.55/11.08 thf(f1176,plain,(
% 69.55/11.08 ((~ (sK4 = sK5)) = $false) | ((~ (sK3 @ sK5 @ sK6)) = $false) | ($false = $true) | (~spl0_16 | ~spl0_70)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f1175])).
% 69.55/11.08 thf(f1175,plain,(
% 69.55/11.08 ((~ (sK3 @ sK5 @ sK6)) = $false) | ((~ (sK4 = sK5)) = $false) | ((~ $false) = $false) | (~spl0_16 | ~spl0_70)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f1170,f215])).
% 69.55/11.08 thf(f1170,plain,(
% 69.55/11.08 ((~ (sK3 @ sK5 @ sK6)) = $false) | ((~ (sK4 = sK5)) = $false) | ((~ (sK3 @ sK4 @ sK5)) = $false) | ~spl0_70),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1158])).
% 69.55/11.08 thf(f1158,plain,(
% 69.55/11.08 ($false = $true) | ((~ (sK3 @ sK5 @ sK6)) = $false) | ((~ (sK3 @ sK4 @ sK5)) = $false) | ((~ (sK4 = sK5)) = $false) | ~spl0_70),
% 69.55/11.08 inference(superposition,[status(thm)],[f980,f46])).
% 69.55/11.08 thf(f1125,plain,(
% 69.55/11.08 spl0_58 | spl0_41 | ~spl0_33),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f1124,f417,f623,f697])).
% 69.55/11.08 thf(f1124,plain,(
% 69.55/11.08 ((sK3 @ sK7 @ sK6) = $false) | ((sK3 @ sK7 @ sK2) = $false) | ~spl0_33),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f1112,f279])).
% 69.55/11.08 thf(f1112,plain,(
% 69.55/11.08 ((sK3 @ sK7 @ sK2) = $false) | (sK6 = sK7) | ((sK3 @ sK7 @ sK6) = $false) | ~spl0_33),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1102])).
% 69.55/11.08 thf(f1102,plain,(
% 69.55/11.08 (sK6 = sK7) | ((sK3 @ sK7 @ sK6) = $false) | ((sK3 @ sK7 @ sK2) = $false) | ($false = $true) | ~spl0_33),
% 69.55/11.08 inference(superposition,[status(thm)],[f418,f28])).
% 69.55/11.08 thf(f1019,plain,(
% 69.55/11.08 spl0_66 | spl0_6 | ~spl0_17),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f1018,f218,f172,f732])).
% 69.55/11.08 thf(f1018,plain,(
% 69.55/11.08 ($false = (sK3 @ sK6 @ sK4)) | (spl0_6 | ~spl0_17)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f1017,f75])).
% 69.55/11.08 thf(f1017,plain,(
% 69.55/11.08 ($false = (sK3 @ sK6 @ sK4)) | (sK6 = sK4) | (spl0_6 | ~spl0_17)),
% 69.55/11.08 inference(subsumption_resolution,[status(thm)],[f1015,f87])).
% 69.55/11.08 thf(f1015,plain,(
% 69.55/11.08 (sK6 = sK2) | (sK6 = sK4) | ($false = (sK3 @ sK6 @ sK4)) | (spl0_6 | ~spl0_17)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f1008])).
% 69.55/11.08 thf(f1008,plain,(
% 69.55/11.08 ($false != $false) | (sK6 = sK4) | ($false = (sK3 @ sK6 @ sK4)) | (sK6 = sK2) | (spl0_6 | ~spl0_17)),
% 69.55/11.08 inference(superposition,[status(thm)],[f173,f557])).
% 69.55/11.08 thf(f557,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK2 @ X0) = $false) | ((sK3 @ X0 @ sK4) = $false) | (sK2 = X0) | (sK4 = X0)) ) | ~spl0_17),
% 69.55/11.08 inference(equality_proxy_clausification,[status(thm)],[f556])).
% 69.55/11.08 thf(f556,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK2 = X0) = $true) | ((sK3 @ sK2 @ X0) = $false) | ((sK3 @ X0 @ sK4) = $false) | (sK4 = X0)) ) | ~spl0_17),
% 69.55/11.08 inference(not_proxy_clausification,[status(thm)],[f555])).
% 69.55/11.08 thf(f555,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ (sK2 = X0)) = $false) | ((sK3 @ X0 @ sK4) = $false) | (sK4 = X0) | ((sK3 @ sK2 @ X0) = $false)) ) | ~spl0_17),
% 69.55/11.08 inference(equality_proxy_clausification,[status(thm)],[f546])).
% 69.55/11.08 thf(f546,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK4 = X0) = $true) | ((sK3 @ X0 @ sK4) = $false) | ((sK3 @ sK2 @ X0) = $false) | ((~ (sK2 = X0)) = $false)) ) | ~spl0_17),
% 69.55/11.08 inference(not_proxy_clausification,[status(thm)],[f219])).
% 69.55/11.08 thf(f219,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ (sK4 = X0)) = $false) | ((sK3 @ sK2 @ X0) = $false) | ((~ (sK2 = X0)) = $false) | ((sK3 @ X0 @ sK4) = $false)) ) | ~spl0_17),
% 69.55/11.08 inference(avatar_component_clause,[status(thm)],[f218])).
% 69.55/11.08 thf(f996,plain,(
% 69.55/11.08 ~spl0_32),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f995])).
% 69.55/11.08 thf(f995,plain,(
% 69.55/11.08 $false | ~spl0_32),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f994])).
% 69.55/11.08 thf(f994,plain,(
% 69.55/11.08 ($false = $true) | ~spl0_32),
% 69.55/11.08 inference(backward_demodulation,[status(thm)],[f40,f337])).
% 69.55/11.08 thf(f337,plain,(
% 69.55/11.08 ((~ (sK4 = sK2)) = $false) | ~spl0_32),
% 69.55/11.08 inference(avatar_component_clause,[status(thm)],[f335])).
% 69.55/11.08 thf(f993,plain,(
% 69.55/11.08 ~spl0_12 | ~spl0_69),
% 69.55/11.08 inference(avatar_contradiction_clause,[status(thm)],[f992])).
% 69.55/11.08 thf(f992,plain,(
% 69.55/11.08 $false | (~spl0_12 | ~spl0_69)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f991])).
% 69.55/11.08 thf(f991,plain,(
% 69.55/11.08 ($false = $true) | (~spl0_12 | ~spl0_69)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f990])).
% 69.55/11.08 thf(f990,plain,(
% 69.55/11.08 ((~ $false) = $false) | (~spl0_12 | ~spl0_69)),
% 69.55/11.08 inference(backward_demodulation,[status(thm)],[f977,f198])).
% 69.55/11.08 thf(f198,plain,(
% 69.55/11.08 ((sK3 @ sK4 @ sK6) = $false) | ~spl0_12),
% 69.55/11.08 inference(avatar_component_clause,[status(thm)],[f196])).
% 69.55/11.08 thf(f977,plain,(
% 69.55/11.08 ((~ (sK3 @ sK4 @ sK6)) = $false) | ~spl0_69),
% 69.55/11.08 inference(avatar_component_clause,[status(thm)],[f975])).
% 69.55/11.08 thf(f989,plain,(
% 69.55/11.08 spl0_12 | spl0_71),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f412,f983,f196])).
% 69.55/11.08 thf(f412,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK4 @ sK6) = $false) | ((~ (X0 = sK4)) = $false) | ((sK3 @ X0 @ sK6) = $false) | (sK6 = X0) | ((sK3 @ X0 @ sK4) = $false)) )),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f355])).
% 69.55/11.08 thf(f355,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (($false = $true) | ((sK3 @ sK4 @ sK6) = $false) | (sK6 = X0) | ((sK3 @ X0 @ sK4) = $false) | ((~ (X0 = sK4)) = $false) | ((sK3 @ X0 @ sK6) = $false)) )),
% 69.55/11.08 inference(superposition,[status(thm)],[f225,f24])).
% 69.55/11.08 thf(f988,plain,(
% 69.55/11.08 spl0_70 | spl0_69),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f842,f975,f979])).
% 69.55/11.08 thf(f842,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ (sK4 = X0)) = $false) | ((~ (sK6 = X0)) = $false) | ((~ (sK3 @ X0 @ sK6)) = $false) | ((~ (sK3 @ sK4 @ sK6)) = $false) | ((~ (sK3 @ sK4 @ X0)) = $false)) )),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f807])).
% 69.55/11.08 thf(f807,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ (sK3 @ sK4 @ sK6)) = $false) | ($false = $true) | ((~ (sK4 = X0)) = $false) | ((~ (sK3 @ sK4 @ X0)) = $false) | ((~ (sK6 = X0)) = $false) | ((~ (sK3 @ X0 @ sK6)) = $false)) )),
% 69.55/11.08 inference(superposition,[status(thm)],[f24,f71])).
% 69.55/11.08 thf(f972,plain,(
% 69.55/11.08 spl0_32 | ~spl0_6 | ~spl0_12 | ~spl0_31),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f971,f331,f196,f172,f335])).
% 69.55/11.08 thf(f971,plain,(
% 69.55/11.08 ((~ (sK4 = sK2)) = $false) | (~spl0_6 | ~spl0_12 | ~spl0_31)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f970])).
% 69.55/11.08 thf(f970,plain,(
% 69.55/11.08 ($false = $true) | ((~ (sK4 = sK2)) = $false) | (~spl0_6 | ~spl0_12 | ~spl0_31)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f969])).
% 69.55/11.08 thf(f969,plain,(
% 69.55/11.08 ((~ $false) = $false) | ((~ (sK4 = sK2)) = $false) | (~spl0_6 | ~spl0_12 | ~spl0_31)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f968,f333])).
% 69.55/11.08 thf(f968,plain,(
% 69.55/11.08 ((~ (sK3 @ sK4 @ sK2)) = $false) | ((~ (sK4 = sK2)) = $false) | (~spl0_6 | ~spl0_12)),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f967])).
% 69.55/11.08 thf(f967,plain,(
% 69.55/11.08 ($false = $true) | ((~ (sK3 @ sK4 @ sK2)) = $false) | ((~ (sK4 = sK2)) = $false) | (~spl0_6 | ~spl0_12)),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f966])).
% 69.55/11.08 thf(f966,plain,(
% 69.55/11.08 ((~ (sK4 = sK2)) = $false) | ((~ $false) = $false) | ((~ (sK3 @ sK4 @ sK2)) = $false) | (~spl0_6 | ~spl0_12)),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f944,f174])).
% 69.55/11.08 thf(f944,plain,(
% 69.55/11.08 ((~ (sK3 @ sK2 @ sK6)) = $false) | ((~ (sK3 @ sK4 @ sK2)) = $false) | ((~ (sK4 = sK2)) = $false) | ~spl0_12),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f941])).
% 69.55/11.08 thf(f941,plain,(
% 69.55/11.08 ((~ (sK4 = sK2)) = $false) | ((~ (sK3 @ sK2 @ sK6)) = $false) | ((~ (sK3 @ sK4 @ sK2)) = $false) | ($false = $true) | ~spl0_12),
% 69.55/11.08 inference(superposition,[status(thm)],[f36,f907])).
% 69.55/11.08 thf(f907,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ (sK6 = X0)) = $false) | ((~ (sK4 = X0)) = $false) | ((~ (sK3 @ sK4 @ X0)) = $false) | ((~ (sK3 @ X0 @ sK6)) = $false)) ) | ~spl0_12),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f906])).
% 69.55/11.08 thf(f906,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ (sK3 @ X0 @ sK6)) = $false) | ($false = $true) | ((~ (sK4 = X0)) = $false) | ((~ (sK6 = X0)) = $false) | ((~ (sK3 @ sK4 @ X0)) = $false)) ) | ~spl0_12),
% 69.55/11.08 inference(boolean_simplification,[status(thm)],[f905])).
% 69.55/11.08 thf(f905,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ (sK4 = X0)) = $false) | ((~ (sK6 = X0)) = $false) | ((~ (sK3 @ X0 @ sK6)) = $false) | ((~ $false) = $false) | ((~ (sK3 @ sK4 @ X0)) = $false)) ) | ~spl0_12),
% 69.55/11.08 inference(forward_demodulation,[status(thm)],[f842,f198])).
% 69.55/11.08 thf(f750,plain,(
% 69.55/11.08 spl0_64 | spl0_63),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f589,f719,f723])).
% 69.55/11.08 thf(f589,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK8 @ X0) = $false) | (sK6 = X0) | (sK8 = X0) | ((sK3 @ sK6 @ X0) = $false) | ((sK3 @ sK8 @ sK6) = $false)) )),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f581])).
% 69.55/11.08 thf(f581,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (($false = $true) | ((sK3 @ sK8 @ X0) = $false) | ((sK3 @ sK8 @ sK6) = $false) | (sK8 = X0) | (sK6 = X0) | ((sK3 @ sK6 @ X0) = $false)) )),
% 69.55/11.08 inference(superposition,[status(thm)],[f38,f444])).
% 69.55/11.08 thf(f749,plain,(
% 69.55/11.08 spl0_68 | spl0_67),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f590,f741,f744])).
% 69.55/11.08 thf(f590,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK8 @ X0) = $false) | ((sK3 @ sK8 @ sK2) = $false) | (sK2 = X0) | (sK8 = X0) | ((sK3 @ sK2 @ X0) = $false)) )),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f563])).
% 69.55/11.08 thf(f563,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK2 @ X0) = $false) | (sK8 = X0) | ((sK3 @ sK8 @ sK2) = $false) | (sK2 = X0) | ((sK3 @ sK8 @ X0) = $false) | ($false = $true)) )),
% 69.55/11.08 inference(superposition,[status(thm)],[f444,f32])).
% 69.55/11.08 thf(f748,plain,(
% 69.55/11.08 spl0_56 | spl0_55),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f591,f683,f686])).
% 69.55/11.08 thf(f591,plain,(
% 69.55/11.08 ( ! [X0 : $i] : ((sK5 = X0) | ((sK3 @ sK5 @ X0) = $false) | ((sK3 @ sK6 @ X0) = $false) | ($false = (sK3 @ sK6 @ sK5)) | (sK6 = X0)) )),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f569])).
% 69.55/11.08 thf(f569,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (($false = (sK3 @ sK6 @ sK5)) | (sK6 = X0) | (sK5 = X0) | ((sK3 @ sK6 @ X0) = $false) | ($false = $true) | ((sK3 @ sK5 @ X0) = $false)) )),
% 69.55/11.08 inference(superposition,[status(thm)],[f444,f46])).
% 69.55/11.08 thf(f739,plain,(
% 69.55/11.08 spl0_57 | spl0_58),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f593,f697,f694])).
% 69.55/11.08 thf(f593,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK7 @ X0) = $false) | (sK6 = X0) | ((sK3 @ sK7 @ sK6) = $false) | (sK7 = X0) | ((sK3 @ sK6 @ X0) = $false)) )),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f571])).
% 69.55/11.08 thf(f571,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (($false = $true) | (sK6 = X0) | ((sK3 @ sK7 @ X0) = $false) | ((sK3 @ sK6 @ X0) = $false) | (sK7 = X0) | ((sK3 @ sK7 @ sK6) = $false)) )),
% 69.55/11.08 inference(superposition,[status(thm)],[f444,f50])).
% 69.55/11.08 thf(f738,plain,(
% 69.55/11.08 spl0_66 | spl0_65),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f594,f729,f732])).
% 69.55/11.08 thf(f594,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (($false = (sK3 @ sK6 @ sK4)) | (sK6 = X0) | ((sK3 @ sK4 @ X0) = $false) | (sK4 = X0) | ((sK3 @ sK6 @ X0) = $false)) )),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f574])).
% 69.55/11.08 thf(f574,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (($false = $true) | ($false = (sK3 @ sK6 @ sK4)) | (sK4 = X0) | (sK6 = X0) | ((sK3 @ sK6 @ X0) = $false) | ((sK3 @ sK4 @ X0) = $false)) )),
% 69.55/11.08 inference(superposition,[status(thm)],[f24,f444])).
% 69.55/11.08 thf(f727,plain,(
% 69.55/11.08 spl0_61 | spl0_62),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f598,f714,f711])).
% 69.55/11.08 thf(f598,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK8 @ X0) = $false) | ((sK3 @ sK7 @ X0) = $false) | ($false = (sK3 @ sK8 @ sK7)) | (sK8 = X0) | (sK7 = X0)) )),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f579])).
% 69.55/11.08 thf(f579,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK8 @ X0) = $false) | (sK7 = X0) | ((sK3 @ sK7 @ X0) = $false) | (sK8 = X0) | ($false = (sK3 @ sK8 @ sK7)) | ($false = $true)) )),
% 69.55/11.08 inference(superposition,[status(thm)],[f34,f444])).
% 69.55/11.08 thf(f701,plain,(
% 69.55/11.08 spl0_49 | spl0_50),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f603,f660,f657])).
% 69.55/11.08 thf(f603,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK8 @ X0) = $false) | ((sK3 @ sK5 @ X0) = $false) | (sK5 = X0) | ((sK3 @ sK8 @ sK5) = $false) | (sK8 = X0)) )),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f587])).
% 69.55/11.08 thf(f587,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK5 @ X0) = $false) | ((sK3 @ sK8 @ sK5) = $false) | (sK8 = X0) | ((sK3 @ sK8 @ X0) = $false) | ($false = $true) | (sK5 = X0)) )),
% 69.55/11.08 inference(superposition,[status(thm)],[f52,f444])).
% 69.55/11.08 thf(f692,plain,(
% 69.55/11.08 spl0_47 | spl0_48),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f605,f653,f649])).
% 69.55/11.08 thf(f605,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK4 @ X0) = $false) | (sK8 = X0) | ((sK3 @ sK8 @ X0) = $false) | ((sK3 @ sK8 @ sK4) = $false) | (sK4 = X0)) )),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f568])).
% 69.55/11.08 thf(f568,plain,(
% 69.55/11.08 ( ! [X0 : $i] : ((sK4 = X0) | ((sK3 @ sK8 @ X0) = $false) | ((sK3 @ sK8 @ sK4) = $false) | (sK8 = X0) | ($false = $true) | ((sK3 @ sK4 @ X0) = $false)) )),
% 69.55/11.08 inference(superposition,[status(thm)],[f444,f44])).
% 69.55/11.08 thf(f691,plain,(
% 69.55/11.08 spl0_52 | spl0_51),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f606,f665,f668])).
% 69.55/11.08 thf(f606,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK4 @ X0) = $false) | (sK4 = X0) | ((sK3 @ sK5 @ sK4) = $false) | ((sK3 @ sK5 @ X0) = $false) | (sK5 = X0)) )),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f577])).
% 69.55/11.08 thf(f577,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK4 @ X0) = $false) | ($false = $true) | (sK5 = X0) | ((sK3 @ sK5 @ X0) = $false) | ((sK3 @ sK5 @ sK4) = $false) | (sK4 = X0)) )),
% 69.55/11.08 inference(superposition,[status(thm)],[f30,f444])).
% 69.55/11.08 thf(f681,plain,(
% 69.55/11.08 spl0_45 | spl0_46),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f609,f645,f641])).
% 69.55/11.08 thf(f609,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK5 @ sK2) = $false) | ((sK3 @ sK2 @ X0) = $false) | (sK5 = X0) | ((sK3 @ sK5 @ X0) = $false) | (sK2 = X0)) )),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f575])).
% 69.55/11.08 thf(f575,plain,(
% 69.55/11.08 ( ! [X0 : $i] : ((sK5 = X0) | ((sK3 @ sK5 @ sK2) = $false) | (sK2 = X0) | ($false = $true) | ((sK3 @ sK2 @ X0) = $false) | ((sK3 @ sK5 @ X0) = $false)) )),
% 69.55/11.08 inference(superposition,[status(thm)],[f26,f444])).
% 69.55/11.08 thf(f446,plain,(
% 69.55/11.08 spl0_34 | spl0_16),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f394,f213,f421])).
% 69.55/11.08 thf(f394,plain,(
% 69.55/11.08 ( ! [X0 : $i] : ((sK5 = X0) | ((~ (X0 = sK4)) = $false) | ((sK3 @ X0 @ sK4) = $false) | ((sK3 @ sK4 @ sK5) = $false) | ((sK3 @ X0 @ sK5) = $false)) )),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f358])).
% 69.55/11.08 thf(f358,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK4 @ sK5) = $false) | ((~ (X0 = sK4)) = $false) | (sK5 = X0) | ($false = $true) | ((sK3 @ X0 @ sK5) = $false) | ((sK3 @ X0 @ sK4) = $false)) )),
% 69.55/11.08 inference(superposition,[status(thm)],[f225,f30])).
% 69.55/11.08 thf(f295,plain,(
% 69.55/11.08 spl0_28 | spl0_27),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f284,f288,f291])).
% 69.55/11.08 thf(f284,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK5 @ X0) = $false) | ((sK3 @ sK5 @ sK8) = $false) | ((~ (sK5 = X0)) = $false) | ((~ (sK8 = X0)) = $false) | ((sK3 @ X0 @ sK8) = $false)) )),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f282])).
% 69.55/11.08 thf(f282,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((sK3 @ sK5 @ sK8) = $false) | ((~ (sK5 = X0)) = $false) | ((~ (sK8 = X0)) = $false) | ($false = $true) | ((sK3 @ sK5 @ X0) = $false) | ((sK3 @ X0 @ sK8) = $false)) )),
% 69.55/11.08 inference(superposition,[status(thm)],[f52,f73])).
% 69.55/11.08 thf(f230,plain,(
% 69.55/11.08 spl0_15 | spl0_16),
% 69.55/11.08 inference(avatar_split_clause,[status(thm)],[f127,f213,f210])).
% 69.55/11.08 thf(f127,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (((~ (sK4 = X0)) = $false) | ((sK3 @ sK4 @ sK5) = $false) | ((sK3 @ sK4 @ X0) = $false) | ((~ (sK5 = X0)) = $false) | ((sK3 @ X0 @ sK5) = $false)) )),
% 69.55/11.08 inference(trivial_inequality_removal,[status(thm)],[f111])).
% 69.55/11.08 thf(f111,plain,(
% 69.55/11.08 ( ! [X0 : $i] : (($false = $true) | ((~ (sK4 = X0)) = $false) | ((sK3 @ X0 @ sK5) = $false) | ((sK3 @ sK4 @ sK5) = $false) | ((sK3 @ sK4 @ X0) = $false) | ((~ (sK5 = X0)) = $false)) )),
% 69.55/11.08 inference(superposition,[status(thm)],[f30,f73])).
% 69.55/11.08 % SZS output end Proof for DTF2THF_17357
% 69.55/11.08 % (17673)------------------------------
% 69.55/11.08 % (17673)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 69.55/11.08 % (17673)Termination reason: Refutation
% 69.55/11.08
% 69.55/11.08 % (17673)Memory used [KB]: 8187
% 69.55/11.08 % (17673)Time elapsed: 0.523 s
% 69.55/11.08 % (17673)Instructions burned: 1623 (million)
% 69.55/11.08 % (17673)------------------------------
% 69.55/11.08 % (17673)------------------------------
% 69.55/11.08 % (17454)Success in time 9.802 s
%------------------------------------------------------------------------------