%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ALG276^5 : TPTP v9.2.1. Bugfixed v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n008.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 08:37:48 AM UTC 2026
% Result : Theorem 45.35s 7.93s
% Output : Refutation 45.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 18
% Syntax : Number of formulae : 261 ( 34 unt; 0 typ; 11 def)
% Number of atoms : 2306 (1104 equ; 0 cnn)
% Maximal formula atoms : 8 ( 8 avg)
% Number of connectives : 6186 ( 379 ~; 538 |; 265 &;4390 @)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 102 ( 102 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 29 usr; 21 con; 0-2 aty)
% ( 404 !!; 196 ??; 0 @@+; 0 @@-)
% Number of variables : 1176 ( 691 ^; 476 !; 9 ?;1176 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
g: $tType ).
thf(func_def_0,type,
g: $tType ).
thf(func_def_1,type,
cGROUP1: ( g > g > g ) > g > $o ).
thf(func_def_2,type,
cGROUP4: ( g > g > g ) > $o ).
thf(func_def_3,type,
cGRP_ASSOC: ( g > g > g ) > $o ).
thf(func_def_4,type,
cGRP_DIVISORS: ( g > g > g ) > $o ).
thf(func_def_5,type,
cGRP_INVERSE: ( g > g > g ) > g > $o ).
thf(func_def_6,type,
cGRP_UNIT: ( g > g > g ) > g > $o ).
thf(func_def_23,type,
sK1: g > g > g ).
thf(func_def_24,type,
sK2: g ).
thf(func_def_25,type,
sK3: g ).
thf(func_def_26,type,
sK4: g ).
thf(func_def_27,type,
sK5: g > g ).
thf(func_def_28,type,
sK6: g ).
thf(func_def_29,type,
sK7: g ).
thf(func_def_30,type,
sK8: g > g ).
thf(func_def_31,type,
sK9: g ).
thf(func_def_32,type,
sK10: g > g > g ).
thf(func_def_33,type,
sK11: g > g > g ).
thf(func_def_34,type,
sK12: g > g ).
thf(f1981,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f96,f123,f131,f141,f146,f185,f191,f202,f205,f239,f258,f1847,f1855,f1866,f1913,f1936,f1980]) ).
thf(f1980,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[status(thm)],[f1979]) ).
thf(f1979,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(equality_resolution,[status(thm)],[f1972]) ).
thf(f1972,plain,
( ! [X0: g] : ( sK3 != X0 )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[status(thm)],[f95,f1924]) ).
thf(f1924,plain,
( ! [X0: g,X1: g] :
( ( sK1 @ X0 @ ( sK1 @ ( sK12 @ X0 ) @ X1 ) )
= X1 )
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f1921,f119]) ).
thf(f119,plain,
( ! [X3: g] :
( ( sK1 @ sK9 @ X3 )
= X3 )
| ~ spl0_5 ),
inference(avatar_component_clause,[status(thm)],[f118]) ).
thf(f118,definition,
( spl0_5
<=> ! [X3: g] :
( ( sK1 @ sK9 @ X3 )
= X3 ) ),
introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition]) ).
thf(f1921,plain,
( ! [X0: g,X1: g] :
( ( sK1 @ sK9 @ X1 )
= ( sK1 @ X0 @ ( sK1 @ ( sK12 @ X0 ) @ X1 ) ) )
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[status(thm)],[f163,f190]) ).
thf(f190,plain,
( ! [X3: g] :
( ( sK1 @ X3 @ ( sK12 @ X3 ) )
= sK9 )
| ~ spl0_11 ),
inference(avatar_component_clause,[status(thm)],[f189]) ).
thf(f189,definition,
( spl0_11
<=> ! [X3: g] :
( ( sK1 @ X3 @ ( sK12 @ X3 ) )
= sK9 ) ),
introduced(definition,[new_symbols(naming,[spl0_11])],[avatar_definition]) ).
thf(f163,plain,
( ! [X3: g,X4: g,X5: g] :
( ( sK1 @ ( sK1 @ X5 @ X4 ) @ X3 )
= ( sK1 @ X5 @ ( sK1 @ X4 @ X3 ) ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[status(thm)],[f162]) ).
thf(f162,definition,
( spl0_9
<=> ! [X4: g,X5: g,X3: g] :
( ( sK1 @ ( sK1 @ X5 @ X4 ) @ X3 )
= ( sK1 @ X5 @ ( sK1 @ X4 @ X3 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition]) ).
thf(f95,plain,
( ! [X4: g] :
( sK3
!= ( sK1 @ sK2 @ X4 ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[status(thm)],[f94]) ).
thf(f94,definition,
( spl0_4
<=> ! [X4: g] :
( sK3
!= ( sK1 @ sK2 @ X4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition]) ).
thf(f1936,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[status(thm)],[f1935]) ).
thf(f1935,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(equality_resolution,[status(thm)],[f1934]) ).
thf(f1934,plain,
( ! [X0: g] : ( sK3 != X0 )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[status(thm)],[f1926,f130]) ).
thf(f130,plain,
( ! [X3: g] :
( ( sK1 @ X3 @ sK9 )
= X3 )
| ~ spl0_7 ),
inference(avatar_component_clause,[status(thm)],[f129]) ).
thf(f129,definition,
( spl0_7
<=> ! [X3: g] :
( ( sK1 @ X3 @ sK9 )
= X3 ) ),
introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition]) ).
thf(f1926,plain,
( ! [X0: g] :
( ( sK1 @ X0 @ sK9 )
!= sK3 )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[status(thm)],[f1915,f184]) ).
thf(f184,plain,
( ! [X3: g] :
( ( sK1 @ ( sK12 @ X3 ) @ X3 )
= sK9 )
| ~ spl0_10 ),
inference(avatar_component_clause,[status(thm)],[f183]) ).
thf(f183,definition,
( spl0_10
<=> ! [X3: g] :
( ( sK1 @ ( sK12 @ X3 ) @ X3 )
= sK9 ) ),
introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition]) ).
thf(f1915,plain,
( ! [X0: g,X1: g] :
( ( sK1 @ X0 @ ( sK1 @ X1 @ sK2 ) )
!= sK3 )
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f89,f163]) ).
thf(f89,plain,
( ! [X2: g] :
( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ~ spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f88]) ).
thf(f88,definition,
( spl0_2
<=> ! [X2: g] :
( ( sK1 @ X2 @ sK2 )
!= sK3 ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
thf(f1913,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[status(thm)],[f1912]) ).
thf(f1912,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(subsumption_resolution,[status(thm)],[f1911,f190]) ).
thf(f1911,plain,
( ( ( sK1 @ ( sK8 @ sK9 ) @ ( sK12 @ ( sK8 @ sK9 ) ) )
!= sK9 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10 ),
inference(subsumption_resolution,[status(thm)],[f1908,f130]) ).
thf(f1908,plain,
( ( ( sK5 @ sK9 )
!= ( sK1 @ ( sK5 @ sK9 ) @ sK9 ) )
| ( ( sK1 @ ( sK8 @ sK9 ) @ ( sK12 @ ( sK8 @ sK9 ) ) )
!= sK9 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(trivial_inequality_removal,[status(thm)],[f1907]) ).
thf(f1907,plain,
( ( ( sK1 @ ( sK8 @ sK9 ) @ ( sK12 @ ( sK8 @ sK9 ) ) )
!= sK9 )
| ( sK9 != sK9 )
| ( ( sK5 @ sK9 )
!= ( sK1 @ ( sK5 @ sK9 ) @ sK9 ) )
| ( ( sK5 @ sK9 )
!= ( sK5 @ sK9 ) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[status(thm)],[f1903,f119]) ).
thf(f1903,plain,
( ! [X0: g] :
( ( ( sK5 @ X0 )
!= ( sK1 @ X0 @ ( sK5 @ X0 ) ) )
| ( sK9 != X0 )
| ( ( sK5 @ X0 )
!= ( sK1 @ ( sK5 @ X0 ) @ X0 ) )
| ( ( sK1 @ ( sK8 @ X0 ) @ ( sK12 @ ( sK8 @ X0 ) ) )
!= X0 ) )
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[status(thm)],[f92,f184]) ).
thf(f92,plain,
( ! [X3: g,X1: g] :
( ( ( sK1 @ X3 @ ( sK8 @ X1 ) )
!= X1 )
| ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) )
| ( ( sK1 @ ( sK8 @ X1 ) @ X3 )
!= X1 ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[status(thm)],[f91]) ).
thf(f91,definition,
( spl0_3
<=> ! [X1: g,X3: g] :
( ( ( sK1 @ X3 @ ( sK8 @ X1 ) )
!= X1 )
| ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) )
| ( ( sK1 @ ( sK8 @ X1 ) @ X3 )
!= X1 )
| ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition]) ).
thf(f1866,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[status(thm)],[f1865]) ).
thf(f1865,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(equality_resolution,[status(thm)],[f1861]) ).
thf(f1861,plain,
( ! [X1: g] : ( sK3 != X1 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f89,f1571]) ).
thf(f1571,plain,
( ! [X2: g,X0: g,X1: g] :
( ( sK1 @ ( sK1 @ X0 @ ( sK11 @ X2 @ ( sK10 @ X0 @ X1 ) ) ) @ X2 )
= X1 )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f381,f1565]) ).
thf(f1565,plain,
( ! [X3: g,X0: g,X1: g] :
( ( sK1 @ X3 @ ( sK11 @ X1 @ X0 ) )
= ( sK11 @ ( sK11 @ X0 @ X1 ) @ X3 ) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f1547,f353]) ).
thf(f353,plain,
( ! [X2: g,X0: g,X1: g] :
( ( sK11 @ X0 @ X1 )
= ( sK1 @ X1 @ ( sK10 @ X0 @ ( sK10 @ X2 @ X2 ) ) ) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f270,f328]) ).
thf(f328,plain,
( ! [X0: g,X1: g] :
( ( sK1 @ X1 @ ( sK10 @ X0 @ X0 ) )
= X1 )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f140,f270]) ).
thf(f140,plain,
( ! [X2: g,X1: g] :
( ( sK1 @ ( sK11 @ X1 @ X2 ) @ X1 )
= X2 )
| ~ spl0_8 ),
inference(avatar_component_clause,[status(thm)],[f139]) ).
thf(f139,definition,
( spl0_8
<=> ! [X2: g,X1: g] :
( ( sK1 @ ( sK11 @ X1 @ X2 ) @ X1 )
= X2 ) ),
introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition]) ).
thf(f270,plain,
( ! [X2: g,X0: g,X1: g] :
( ( sK1 @ X2 @ ( sK10 @ X0 @ X1 ) )
= ( sK1 @ ( sK11 @ X0 @ X2 ) @ X1 ) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f252,f122]) ).
thf(f122,plain,
( ! [X2: g,X1: g] :
( ( sK1 @ X1 @ ( sK10 @ X1 @ X2 ) )
= X2 )
| ~ spl0_6 ),
inference(avatar_component_clause,[status(thm)],[f121]) ).
thf(f121,definition,
( spl0_6
<=> ! [X2: g,X1: g] :
( ( sK1 @ X1 @ ( sK10 @ X1 @ X2 ) )
= X2 ) ),
introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition]) ).
thf(f252,plain,
( ! [X2: g,X0: g,X1: g] :
( ( sK1 @ ( sK11 @ X0 @ X1 ) @ ( sK1 @ X0 @ X2 ) )
= ( sK1 @ X1 @ X2 ) )
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f163,f140]) ).
thf(f1547,plain,
( ! [X2: g,X3: g,X0: g,X1: g] :
( ( sK1 @ X3 @ ( sK1 @ X0 @ ( sK10 @ X1 @ ( sK10 @ X2 @ X2 ) ) ) )
= ( sK11 @ ( sK11 @ X0 @ X1 ) @ X3 ) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f353,f780]) ).
thf(f780,plain,
( ! [X2: g,X0: g,X1: g] :
( ( sK1 @ X1 @ ( sK10 @ X0 @ X2 ) )
= ( sK10 @ ( sK11 @ X1 @ X0 ) @ X2 ) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f770,f270]) ).
thf(f770,plain,
( ! [X2: g,X0: g,X1: g] :
( ( sK1 @ ( sK11 @ X0 @ X1 ) @ X2 )
= ( sK10 @ ( sK11 @ X1 @ X0 ) @ X2 ) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f305,f324]) ).
thf(f324,plain,
( ! [X2: g,X0: g,X1: g] :
( ( sK1 @ X1 @ ( sK10 @ X0 @ ( sK10 @ ( sK11 @ X0 @ X1 ) @ X2 ) ) )
= X2 )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f270,f122]) ).
thf(f305,plain,
( ! [X3: g,X0: g,X1: g] :
( ( sK1 @ ( sK11 @ X0 @ X1 ) @ ( sK1 @ X0 @ ( sK10 @ X1 @ X3 ) ) )
= X3 )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f304,f300]) ).
thf(f300,plain,
( ! [X2: g,X3: g,X0: g,X1: g] :
( ( sK1 @ X3 @ ( sK10 @ X0 @ X2 ) )
= ( sK1 @ X3 @ ( sK1 @ X1 @ ( sK10 @ ( sK1 @ X0 @ X1 ) @ X2 ) ) ) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f291,f270]) ).
thf(f291,plain,
( ! [X2: g,X3: g,X0: g,X1: g] :
( ( sK1 @ X3 @ ( sK1 @ X1 @ ( sK10 @ ( sK1 @ X0 @ X1 ) @ X2 ) ) )
= ( sK1 @ ( sK11 @ X0 @ X3 ) @ X2 ) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f252,f254]) ).
thf(f254,plain,
( ! [X2: g,X0: g,X1: g] :
( ( sK1 @ X0 @ ( sK1 @ X1 @ ( sK10 @ ( sK1 @ X0 @ X1 ) @ X2 ) ) )
= X2 )
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f163,f122]) ).
thf(f304,plain,
( ! [X2: g,X3: g,X0: g,X1: g] :
( ( sK1 @ ( sK11 @ X0 @ X1 ) @ ( sK1 @ X0 @ ( sK1 @ X2 @ ( sK10 @ ( sK1 @ X1 @ X2 ) @ X3 ) ) ) )
= X3 )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f285,f163]) ).
thf(f285,plain,
( ! [X2: g,X3: g,X0: g,X1: g] :
( ( sK1 @ ( sK11 @ X0 @ X1 ) @ ( sK1 @ ( sK1 @ X0 @ X2 ) @ ( sK10 @ ( sK1 @ X1 @ X2 ) @ X3 ) ) )
= X3 )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f254,f252]) ).
thf(f381,plain,
( ! [X2: g,X0: g,X1: g] :
( ( sK1 @ ( sK11 @ ( sK11 @ ( sK10 @ X0 @ X1 ) @ X2 ) @ X0 ) @ X2 )
= X1 )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f305,f140]) ).
thf(f1855,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[status(thm)],[f1854]) ).
thf(f1854,plain,
( $false
| ~ spl0_4
| ~ spl0_6 ),
inference(equality_resolution,[status(thm)],[f1850]) ).
thf(f1850,plain,
( ! [X0: g] : ( sK3 != X0 )
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[status(thm)],[f95,f122]) ).
thf(f1847,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[status(thm)],[f1846]) ).
thf(f1846,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[status(thm)],[f1845,f415]) ).
thf(f415,plain,
( ! [X0: g,X1: g] :
( ( sK11 @ X0 @ X0 )
= ( sK10 @ X1 @ X1 ) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f328,f378]) ).
thf(f378,plain,
( ! [X0: g,X1: g] :
( ( sK1 @ ( sK11 @ X0 @ X0 ) @ X1 )
= X1 )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f305,f122]) ).
thf(f1845,plain,
( ! [X2: g,X1: g] :
( ( sK11 @ X1 @ X1 )
!= ( sK10 @ X2 @ X2 ) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[status(thm)],[f1816,f1437]) ).
thf(f1437,plain,
( ! [X2: g,X0: g,X1: g] :
( ( sK1 @ X1 @ ( sK11 @ X0 @ ( sK10 @ X1 @ X0 ) ) )
= ( sK11 @ X2 @ X2 ) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f415,f774]) ).
thf(f774,plain,
( ! [X2: g,X0: g,X1: g] :
( ( sK1 @ X0 @ X2 )
= ( sK10 @ ( sK11 @ X1 @ ( sK10 @ X0 @ X1 ) ) @ X2 ) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f310,f324]) ).
thf(f310,plain,
( ! [X3: g,X0: g,X1: g] :
( ( sK1 @ X0 @ ( sK1 @ ( sK10 @ X0 @ X1 ) @ ( sK10 @ X1 @ X3 ) ) )
= X3 )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f309,f300]) ).
thf(f309,plain,
( ! [X2: g,X3: g,X0: g,X1: g] :
( ( sK1 @ X0 @ ( sK1 @ ( sK10 @ X0 @ X1 ) @ ( sK1 @ X2 @ ( sK10 @ ( sK1 @ X1 @ X2 ) @ X3 ) ) ) )
= X3 )
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f281,f163]) ).
thf(f281,plain,
( ! [X2: g,X3: g,X0: g,X1: g] :
( ( sK1 @ X0 @ ( sK1 @ ( sK1 @ ( sK10 @ X0 @ X1 ) @ X2 ) @ ( sK10 @ ( sK1 @ X1 @ X2 ) @ X3 ) ) )
= X3 )
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f254,f251]) ).
thf(f251,plain,
( ! [X2: g,X0: g,X1: g] :
( ( sK1 @ X0 @ ( sK1 @ ( sK10 @ X0 @ X1 ) @ X2 ) )
= ( sK1 @ X1 @ X2 ) )
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f163,f122]) ).
thf(f1816,plain,
( ! [X2: g,X0: g,X1: g] :
( ( ( sK1 @ ( sK8 @ ( sK11 @ X1 @ X1 ) ) @ ( sK11 @ X0 @ ( sK10 @ ( sK8 @ ( sK11 @ X1 @ X1 ) ) @ X0 ) ) )
!= ( sK11 @ X1 @ X1 ) )
| ( ( sK11 @ X1 @ X1 )
!= ( sK10 @ X2 @ X2 ) ) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f978,f930]) ).
thf(f930,plain,
( ! [X2: g,X0: g,X1: g] :
( ( sK1 @ ( sK11 @ X2 @ ( sK10 @ X0 @ X2 ) ) @ X0 )
= ( sK10 @ X1 @ X1 ) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f379,f328]) ).
thf(f379,plain,
( ! [X2: g,X0: g,X1: g] :
( ( sK1 @ ( sK11 @ X0 @ ( sK10 @ X1 @ X0 ) ) @ ( sK1 @ X1 @ X2 ) )
= X2 )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f305,f261]) ).
thf(f261,plain,
( ! [X2: g,X0: g,X1: g] :
( ( sK1 @ X1 @ ( sK10 @ ( sK10 @ X0 @ X1 ) @ X2 ) )
= ( sK1 @ X0 @ X2 ) )
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f251,f122]) ).
thf(f978,plain,
( ! [X0: g,X1: g] :
( ( ( sK11 @ X0 @ X0 )
!= ( sK1 @ X1 @ ( sK8 @ ( sK11 @ X0 @ X0 ) ) ) )
| ( ( sK11 @ X0 @ X0 )
!= ( sK1 @ ( sK8 @ ( sK11 @ X0 @ X0 ) ) @ X1 ) ) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f927,f412]) ).
thf(f412,plain,
( ! [X0: g,X1: g] :
( ( sK10 @ ( sK11 @ X0 @ X0 ) @ X1 )
= X1 )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f122,f378]) ).
thf(f927,plain,
( ! [X2: g,X1: g] :
( ( ( sK1 @ X2 @ ( sK8 @ ( sK10 @ X1 @ X1 ) ) )
!= ( sK10 @ X1 @ X1 ) )
| ( ( sK1 @ ( sK8 @ ( sK10 @ X1 @ X1 ) ) @ X2 )
!= ( sK10 @ X1 @ X1 ) ) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f913,f439]) ).
thf(f439,plain,
( ! [X0: g,X1: g] :
( ( sK11 @ ( sK11 @ X0 @ X0 ) @ X1 )
= X1 )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f344,f412]) ).
thf(f344,plain,
( ! [X0: g,X1: g] :
( ( sK11 @ ( sK10 @ X0 @ X0 ) @ X1 )
= X1 )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f328,f140]) ).
thf(f913,plain,
( ! [X2: g,X0: g,X1: g] :
( ( ( sK1 @ X2 @ ( sK8 @ ( sK10 @ X1 @ X1 ) ) )
!= ( sK10 @ X1 @ X1 ) )
| ( ( sK1 @ ( sK8 @ ( sK10 @ X1 @ X1 ) ) @ ( sK11 @ ( sK11 @ X0 @ X0 ) @ X2 ) )
!= ( sK10 @ X1 @ X1 ) ) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f506,f412]) ).
thf(f506,plain,
( ! [X2: g,X0: g,X1: g] :
( ( ( sK10 @ X0 @ X0 )
!= ( sK1 @ X2 @ ( sK10 @ X1 @ ( sK8 @ ( sK10 @ X0 @ X0 ) ) ) ) )
| ( ( sK10 @ X0 @ X0 )
!= ( sK1 @ ( sK8 @ ( sK10 @ X0 @ X0 ) ) @ ( sK11 @ X1 @ X2 ) ) ) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[status(thm)],[f500,f328]) ).
thf(f500,plain,
( ! [X2: g,X0: g,X1: g] :
( ( ( sK10 @ X0 @ X0 )
!= ( sK1 @ X2 @ ( sK10 @ X1 @ ( sK8 @ ( sK10 @ X0 @ X0 ) ) ) ) )
| ( ( sK10 @ X0 @ X0 )
!= ( sK1 @ ( sK8 @ ( sK10 @ X0 @ X0 ) ) @ ( sK11 @ X1 @ X2 ) ) )
| ( ( sK5 @ ( sK10 @ X0 @ X0 ) )
!= ( sK1 @ ( sK5 @ ( sK10 @ X0 @ X0 ) ) @ ( sK10 @ X0 @ X0 ) ) ) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f496]) ).
thf(f496,plain,
( ! [X2: g,X0: g,X1: g] :
( ( ( sK10 @ X0 @ X0 )
!= ( sK1 @ X2 @ ( sK10 @ X1 @ ( sK8 @ ( sK10 @ X0 @ X0 ) ) ) ) )
| ( ( sK10 @ X0 @ X0 )
!= ( sK1 @ ( sK8 @ ( sK10 @ X0 @ X0 ) ) @ ( sK11 @ X1 @ X2 ) ) )
| ( ( sK5 @ ( sK10 @ X0 @ X0 ) )
!= ( sK5 @ ( sK10 @ X0 @ X0 ) ) )
| ( ( sK5 @ ( sK10 @ X0 @ X0 ) )
!= ( sK1 @ ( sK5 @ ( sK10 @ X0 @ X0 ) ) @ ( sK10 @ X0 @ X0 ) ) ) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f335,f400]) ).
thf(f400,plain,
( ! [X0: g,X1: g] :
( ( sK1 @ ( sK10 @ X0 @ X0 ) @ X1 )
= X1 )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f378,f344]) ).
thf(f335,plain,
( ! [X2: g,X0: g,X1: g] :
( ( ( sK1 @ X2 @ ( sK5 @ X2 ) )
!= ( sK5 @ X2 ) )
| ( ( sK1 @ ( sK8 @ X2 ) @ ( sK11 @ X0 @ X1 ) )
!= X2 )
| ( ( sK1 @ X1 @ ( sK10 @ X0 @ ( sK8 @ X2 ) ) )
!= X2 )
| ( ( sK1 @ ( sK5 @ X2 ) @ X2 )
!= ( sK5 @ X2 ) ) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f92,f270]) ).
thf(f258,plain,
( spl0_1
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[status(thm)],[f257]) ).
thf(f257,plain,
( $false
| spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f255]) ).
thf(f255,plain,
( ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) ) )
| spl0_1
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f86,f163]) ).
thf(f86,plain,
( ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) )
| spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f84]) ).
thf(f84,definition,
( spl0_1
<=> ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
thf(f239,plain,
( spl0_9
| spl0_9 ),
inference(avatar_split_clause,[status(thm)],[f238,f162,f162]) ).
thf(f238,plain,
! [X2: g,X3: g,X1: g,X6: g,X4: g,X5: g] :
( ( ( sK1 @ ( sK1 @ X3 @ X2 ) @ X1 )
= ( sK1 @ X3 @ ( sK1 @ X2 @ X1 ) ) )
| ( ( sK1 @ ( sK1 @ X6 @ X5 ) @ X4 )
= ( sK1 @ X6 @ ( sK1 @ X5 @ X4 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f237]) ).
thf(f237,plain,
! [X2: g,X3: g,X1: g,X6: g,X4: g,X5: g] :
( ( $true
= ( ( sK1 @ ( sK1 @ X6 @ X5 ) @ X4 )
= ( sK1 @ X6 @ ( sK1 @ X5 @ X4 ) ) ) )
| ( ( sK1 @ ( sK1 @ X3 @ X2 ) @ X1 )
= ( sK1 @ X3 @ ( sK1 @ X2 @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f236]) ).
thf(f236,plain,
! [X2: g,X3: g,X1: g,X6: g,X4: g,X5: g] :
( ( $true
= ( ^ [Y0: g] :
( ( sK1 @ ( sK1 @ Y0 @ X5 ) @ X4 )
= ( sK1 @ Y0 @ ( sK1 @ X5 @ X4 ) ) )
@ X6 ) )
| ( ( sK1 @ ( sK1 @ X3 @ X2 ) @ X1 )
= ( sK1 @ X3 @ ( sK1 @ X2 @ X1 ) ) ) ),
inference(pi_clausification,[status(thm)],[f235]) ).
thf(f235,plain,
! [X2: g,X3: g,X1: g,X4: g,X5: g] :
( ( ( sK1 @ ( sK1 @ X3 @ X2 ) @ X1 )
= ( sK1 @ X3 @ ( sK1 @ X2 @ X1 ) ) )
| ( $true
= ( !! @ g
@ ^ [Y0: g] :
( ( sK1 @ ( sK1 @ Y0 @ X5 ) @ X4 )
= ( sK1 @ Y0 @ ( sK1 @ X5 @ X4 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f234]) ).
thf(f234,plain,
! [X2: g,X3: g,X1: g,X4: g,X5: g] :
( ( ( sK1 @ ( sK1 @ X3 @ X2 ) @ X1 )
= ( sK1 @ X3 @ ( sK1 @ X2 @ X1 ) ) )
| ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK1 @ ( sK1 @ Y1 @ Y0 ) @ X4 )
= ( sK1 @ Y1 @ ( sK1 @ Y0 @ X4 ) ) ) )
@ X5 )
= $true ) ),
inference(pi_clausification,[status(thm)],[f233]) ).
thf(f233,plain,
! [X2: g,X3: g,X1: g,X4: g] :
( ( $true
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK1 @ ( sK1 @ Y1 @ Y0 ) @ X4 )
= ( sK1 @ Y1 @ ( sK1 @ Y0 @ X4 ) ) ) ) ) )
| ( ( sK1 @ ( sK1 @ X3 @ X2 ) @ X1 )
= ( sK1 @ X3 @ ( sK1 @ X2 @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f232]) ).
thf(f232,plain,
! [X2: g,X3: g,X1: g,X4: g] :
( ( ( sK1 @ ( sK1 @ X3 @ X2 ) @ X1 )
= ( sK1 @ X3 @ ( sK1 @ X2 @ X1 ) ) )
| ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) )
@ X4 )
= $true ) ),
inference(pi_clausification,[status(thm)],[f231]) ).
thf(f231,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK1 @ ( sK1 @ X3 @ X2 ) @ X1 )
= ( sK1 @ X3 @ ( sK1 @ X2 @ X1 ) ) )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
= $true ) ),
inference(equality_proxy_clausification,[status(thm)],[f230]) ).
thf(f230,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ( sK1 @ ( sK1 @ X3 @ X2 ) @ X1 )
= ( sK1 @ X3 @ ( sK1 @ X2 @ X1 ) ) )
= $true )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f229]) ).
thf(f229,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ^ [Y0: g] :
( ( sK1 @ ( sK1 @ Y0 @ X2 ) @ X1 )
= ( sK1 @ Y0 @ ( sK1 @ X2 @ X1 ) ) )
@ X3 )
= $true )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
= $true ) ),
inference(pi_clausification,[status(thm)],[f214]) ).
thf(f214,plain,
! [X2: g,X1: g] :
( ( ( !! @ g
@ ^ [Y0: g] :
( ( sK1 @ ( sK1 @ Y0 @ X2 ) @ X1 )
= ( sK1 @ Y0 @ ( sK1 @ X2 @ X1 ) ) ) )
= $true )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f213]) ).
thf(f213,plain,
! [X2: g,X1: g] :
( ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= sK9 )
& ( ( sK1 @ Y1 @ Y0 )
= sK9 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) ) )
= $true )
| ( ( !! @ g
@ ^ [Y0: g] :
( ( sK1 @ ( sK1 @ Y0 @ X2 ) @ X1 )
= ( sK1 @ Y0 @ ( sK1 @ X2 @ X1 ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f211]) ).
thf(f211,plain,
! [X2: g,X1: g] :
( ( $true
= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= sK9 )
& ( ( sK1 @ Y1 @ Y0 )
= sK9 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( ( sK1 @ Y0 @ sK9 )
= Y0 )
& ( ( sK1 @ sK9 @ Y0 )
= Y0 ) ) ) ) )
| ( ( !! @ g
@ ^ [Y0: g] :
( ( sK1 @ ( sK1 @ Y0 @ X2 ) @ X1 )
= ( sK1 @ Y0 @ ( sK1 @ X2 @ X1 ) ) ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f210]) ).
thf(f210,plain,
! [X2: g,X1: g] :
( ( $true
= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= sK9 )
& ( ( sK1 @ Y1 @ Y0 )
= sK9 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( ( sK1 @ Y0 @ sK9 )
= Y0 )
& ( ( sK1 @ sK9 @ Y0 )
= Y0 ) ) ) ) )
| ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK1 @ ( sK1 @ Y1 @ Y0 ) @ X1 )
= ( sK1 @ Y1 @ ( sK1 @ Y0 @ X1 ) ) ) )
@ X2 )
= $true ) ),
inference(pi_clausification,[status(thm)],[f209]) ).
thf(f209,plain,
! [X1: g] :
( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK1 @ ( sK1 @ Y1 @ Y0 ) @ X1 )
= ( sK1 @ Y1 @ ( sK1 @ Y0 @ X1 ) ) ) ) )
= $true )
| ( $true
= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= sK9 )
& ( ( sK1 @ Y1 @ Y0 )
= sK9 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( ( sK1 @ Y0 @ sK9 )
= Y0 )
& ( ( sK1 @ sK9 @ Y0 )
= Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f208]) ).
thf(f208,plain,
! [X1: g] :
( ( $true
= ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) )
@ X1 ) )
| ( $true
= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= sK9 )
& ( ( sK1 @ Y1 @ Y0 )
= sK9 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( ( sK1 @ Y0 @ sK9 )
= Y0 )
& ( ( sK1 @ sK9 @ Y0 )
= Y0 ) ) ) ) ) ),
inference(pi_clausification,[status(thm)],[f207]) ).
thf(f207,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ( $true
= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= sK9 )
& ( ( sK1 @ Y1 @ Y0 )
= sK9 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( ( sK1 @ Y0 @ sK9 )
= Y0 )
& ( ( sK1 @ sK9 @ Y0 )
= Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f206]) ).
thf(f206,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ( ( ^ [Y0: g] :
( ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( ( sK1 @ Y1 @ Y2 )
= Y0 )
& ( ( sK1 @ Y2 @ Y1 )
= Y0 ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( sK1 @ ( sK1 @ Y3 @ Y2 ) @ Y1 )
= ( sK1 @ Y3 @ ( sK1 @ Y2 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y1 @ Y0 )
= Y1 )
& ( ( sK1 @ Y0 @ Y1 )
= Y1 ) ) ) )
@ sK9 )
= $true ) ),
inference(sigma_clausification,[status(thm)],[f98]) ).
thf(f98,plain,
( ( $true
= ( ?? @ g
@ ^ [Y0: g] :
( ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( ( sK1 @ Y1 @ Y2 )
= Y0 )
& ( ( sK1 @ Y2 @ Y1 )
= Y0 ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( sK1 @ ( sK1 @ Y3 @ Y2 ) @ Y1 )
= ( sK1 @ Y3 @ ( sK1 @ Y2 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y1 @ Y0 )
= Y1 )
& ( ( sK1 @ Y0 @ Y1 )
= Y1 ) ) ) ) ) )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f38]) ).
thf(f38,plain,
( ( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK1 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK1 @ Y2 @ Y0 )
= Y1 ) ) ) ) ) )
= $true )
| ( $true
= ( ?? @ g
@ ^ [Y0: g] :
( ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( ( sK1 @ Y1 @ Y2 )
= Y0 )
& ( ( sK1 @ Y2 @ Y1 )
= Y0 ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( sK1 @ ( sK1 @ Y3 @ Y2 ) @ Y1 )
= ( sK1 @ Y3 @ ( sK1 @ Y2 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y1 @ Y0 )
= Y1 )
& ( ( sK1 @ Y0 @ Y1 )
= Y1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f37]) ).
thf(f37,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK1 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK1 @ Y2 @ Y0 )
= Y1 ) ) ) ) ) )
!= ( ?? @ g
@ ^ [Y0: g] :
( ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( ( sK1 @ Y1 @ Y2 )
= Y0 )
& ( ( sK1 @ Y2 @ Y1 )
= Y0 ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( sK1 @ ( sK1 @ Y3 @ Y2 ) @ Y1 )
= ( sK1 @ Y3 @ ( sK1 @ Y2 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y1 @ Y0 )
= Y1 )
& ( ( sK1 @ Y0 @ Y1 )
= Y1 ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f36]) ).
thf(f36,plain,
( ( ( ?? @ g
@ ^ [Y0: g] :
( ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( ( sK1 @ Y1 @ Y2 )
= Y0 )
& ( ( sK1 @ Y2 @ Y1 )
= Y0 ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( sK1 @ ( sK1 @ Y3 @ Y2 ) @ Y1 )
= ( sK1 @ Y3 @ ( sK1 @ Y2 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y1 @ Y0 )
= Y1 )
& ( ( sK1 @ Y0 @ Y1 )
= Y1 ) ) ) ) )
= ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK1 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK1 @ Y2 @ Y0 )
= Y1 ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f35]) ).
thf(f35,plain,
( ( ^ [Y0: g > g > g] :
( ( ?? @ g
@ ^ [Y1: g] :
( ( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( ( Y0 @ Y2 @ Y3 )
= Y1 )
& ( ( Y0 @ Y3 @ Y2 )
= Y1 ) ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y0 @ ( Y0 @ Y4 @ Y3 ) @ Y2 )
= ( Y0 @ Y4 @ ( Y0 @ Y3 @ Y2 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( ( ( Y0 @ Y2 @ Y1 )
= Y2 )
& ( ( Y0 @ Y1 @ Y2 )
= Y2 ) ) ) ) )
= ( ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( Y0 @ ( Y0 @ Y3 @ Y2 ) @ Y1 )
= ( Y0 @ Y3 @ ( Y0 @ Y2 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y1 @ Y3 )
= Y2 ) )
& ( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y3 @ Y1 )
= Y2 ) ) ) ) ) ) )
@ sK1 )
= $false ),
inference(sigma_clausification,[status(thm)],[f34]) ).
thf(f34,plain,
( ( !! @ ( g > g > g )
@ ^ [Y0: g > g > g] :
( ( ?? @ g
@ ^ [Y1: g] :
( ( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( ( Y0 @ Y2 @ Y3 )
= Y1 )
& ( ( Y0 @ Y3 @ Y2 )
= Y1 ) ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y0 @ ( Y0 @ Y4 @ Y3 ) @ Y2 )
= ( Y0 @ Y4 @ ( Y0 @ Y3 @ Y2 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( ( ( Y0 @ Y2 @ Y1 )
= Y2 )
& ( ( Y0 @ Y1 @ Y2 )
= Y2 ) ) ) ) )
= ( ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( Y0 @ ( Y0 @ Y3 @ Y2 ) @ Y1 )
= ( Y0 @ Y3 @ ( Y0 @ Y2 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y1 @ Y3 )
= Y2 ) )
& ( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y3 @ Y1 )
= Y2 ) ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f33]) ).
thf(f33,plain,
( ( ~ ( !! @ ( g > g > g )
@ ^ [Y0: g > g > g] :
( ( ?? @ g
@ ^ [Y1: g] :
( ( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( ( Y0 @ Y2 @ Y3 )
= Y1 )
& ( ( Y0 @ Y3 @ Y2 )
= Y1 ) ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y0 @ ( Y0 @ Y4 @ Y3 ) @ Y2 )
= ( Y0 @ Y4 @ ( Y0 @ Y3 @ Y2 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( ( ( Y0 @ Y2 @ Y1 )
= Y2 )
& ( ( Y0 @ Y1 @ Y2 )
= Y2 ) ) ) ) )
= ( ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( Y0 @ ( Y0 @ Y3 @ Y2 ) @ Y1 )
= ( Y0 @ Y3 @ ( Y0 @ Y2 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y1 @ Y3 )
= Y2 ) )
& ( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y3 @ Y1 )
= Y2 ) ) ) ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f32]) ).
thf(f32,plain,
( ( ~ ( !! @ ( g > g > g )
@ ^ [Y0: g > g > g] :
( ( ?? @ g
@ ^ [Y1: g] :
( ^ [Y2: g > g > g,Y3: g] :
( ( ^ [Y4: g > g > g,Y5: g] :
( !! @ g
@ ^ [Y6: g] :
( ?? @ g
@ ^ [Y7: g] :
( ( ( Y4 @ Y6 @ Y7 )
= Y5 )
& ( ( Y4 @ Y7 @ Y6 )
= Y5 ) ) ) )
@ Y2
@ Y3 )
& ( ^ [Y4: g > g > g] :
( !! @ g
@ ^ [Y5: g] :
( !! @ g
@ ^ [Y6: g] :
( !! @ g
@ ^ [Y7: g] :
( ( Y4 @ ( Y4 @ Y7 @ Y6 ) @ Y5 )
= ( Y4 @ Y7 @ ( Y4 @ Y6 @ Y5 ) ) ) ) ) )
@ Y2 )
& ( ^ [Y4: g > g > g,Y5: g] :
( !! @ g
@ ^ [Y6: g] :
( ( ( Y4 @ Y6 @ Y5 )
= Y6 )
& ( ( Y4 @ Y5 @ Y6 )
= Y6 ) ) )
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) )
= ( ^ [Y1: g > g > g] :
( ( ^ [Y2: g > g > g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( !! @ g
@ ^ [Y5: g] :
( ( Y2 @ ( Y2 @ Y5 @ Y4 ) @ Y3 )
= ( Y2 @ Y5 @ ( Y2 @ Y4 @ Y3 ) ) ) ) ) )
@ Y1 )
& ( ^ [Y2: g > g > g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( ?? @ g
@ ^ [Y5: g] :
( ( Y2 @ Y3 @ Y5 )
= Y4 ) )
& ( ?? @ g
@ ^ [Y5: g] :
( ( Y2 @ Y5 @ Y3 )
= Y4 ) ) ) ) )
@ Y1 ) )
@ Y0 ) ) ) )
= $true ),
inference(definition_unfolding,[status(thm)],[f24,f30,f31]) ).
thf(f31,plain,
( cGROUP4
= ( ^ [Y0: g > g > g] :
( ( ^ [Y1: g > g > g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y1 @ ( Y1 @ Y4 @ Y3 ) @ Y2 )
= ( Y1 @ Y4 @ ( Y1 @ Y3 @ Y2 ) ) ) ) ) )
@ Y0 )
& ( ^ [Y1: g > g > g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( ?? @ g
@ ^ [Y4: g] :
( ( Y1 @ Y2 @ Y4 )
= Y3 ) )
& ( ?? @ g
@ ^ [Y4: g] :
( ( Y1 @ Y4 @ Y2 )
= Y3 ) ) ) ) )
@ Y0 ) ) ) ),
inference(definition_unfolding,[status(thm)],[f23,f29,f27]) ).
thf(f27,plain,
( cGRP_DIVISORS
= ( ^ [Y0: g > g > g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y1 @ Y3 )
= Y2 ) )
& ( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y3 @ Y1 )
= Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f11,plain,
( cGRP_DIVISORS
= ( ^ [Y0: g > g > g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y1 @ Y3 )
= Y2 ) )
& ( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y3 @ Y1 )
= Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f10]) ).
thf(f10,plain,
( ( ^ [X0: g > g > g] :
! [X1: g,X2: g] :
( ? [X3: g] :
( ( X0 @ X3 @ X2 )
= X1 )
& ? [X4: g] :
( ( X0 @ X2 @ X4 )
= X1 ) ) )
= cGRP_DIVISORS ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
( ( ^ [X0: g > g > g] :
! [X2: g,X1: g] :
( ? [X5: g] :
( ( X0 @ X5 @ X1 )
= X2 )
& ? [X4: g] :
( ( X0 @ X1 @ X4 )
= X2 ) ) )
= cGRP_DIVISORS ),
file('/export/starexec/sandbox/tmp/tmp.VLG6bBhH7f/DTF2THF_20481.p',cGRP_DIVISORS_def) ).
thf(f29,plain,
( cGRP_ASSOC
= ( ^ [Y0: g > g > g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( Y0 @ ( Y0 @ Y3 @ Y2 ) @ Y1 )
= ( Y0 @ Y3 @ ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
thf(f20,plain,
( cGRP_ASSOC
= ( ^ [Y0: g > g > g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( Y0 @ ( Y0 @ Y3 @ Y2 ) @ Y1 )
= ( Y0 @ Y3 @ ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f1]) ).
thf(f1,axiom,
( cGRP_ASSOC
= ( ^ [X0: g > g > g] :
! [X1: g,X2: g,X3: g] :
( ( X0 @ ( X0 @ X1 @ X2 ) @ X3 )
= ( X0 @ X1 @ ( X0 @ X2 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.VLG6bBhH7f/DTF2THF_20481.p',cGRP_ASSOC_def) ).
thf(f23,plain,
( cGROUP4
= ( ^ [Y0: g > g > g] :
( ( cGRP_ASSOC @ Y0 )
& ( cGRP_DIVISORS @ Y0 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
thf(f17,plain,
( cGROUP4
= ( ^ [Y0: g > g > g] :
( ( cGRP_ASSOC @ Y0 )
& ( cGRP_DIVISORS @ Y0 ) ) ) ),
inference(fool_elimination,[status(thm)],[f16]) ).
thf(f16,plain,
( cGROUP4
= ( ^ [X0: g > g > g] :
( ( cGRP_DIVISORS @ X0 )
& ( cGRP_ASSOC @ X0 ) ) ) ),
inference(rectify,[status(thm)],[f6]) ).
thf(f6,axiom,
( cGROUP4
= ( ^ [X0: g > g > g] :
( ( cGRP_DIVISORS @ X0 )
& ( cGRP_ASSOC @ X0 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.VLG6bBhH7f/DTF2THF_20481.p',cGROUP4_def) ).
thf(f30,plain,
( cGROUP1
= ( ^ [Y0: g > g > g,Y1: g] :
( ( ^ [Y2: g > g > g,Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ?? @ g
@ ^ [Y5: g] :
( ( ( Y2 @ Y4 @ Y5 )
= Y3 )
& ( ( Y2 @ Y5 @ Y4 )
= Y3 ) ) ) )
@ Y0
@ Y1 )
& ( ^ [Y2: g > g > g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( !! @ g
@ ^ [Y5: g] :
( ( Y2 @ ( Y2 @ Y5 @ Y4 ) @ Y3 )
= ( Y2 @ Y5 @ ( Y2 @ Y4 @ Y3 ) ) ) ) ) )
@ Y0 )
& ( ^ [Y2: g > g > g,Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( ( Y2 @ Y4 @ Y3 )
= Y4 )
& ( ( Y2 @ Y3 @ Y4 )
= Y4 ) ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[status(thm)],[f28,f26,f29,f25]) ).
thf(f25,plain,
( cGRP_UNIT
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( ( Y0 @ Y2 @ Y1 )
= Y2 )
& ( ( Y0 @ Y1 @ Y2 )
= Y2 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f19,plain,
( cGRP_UNIT
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( ( Y0 @ Y2 @ Y1 )
= Y2 )
& ( ( Y0 @ Y1 @ Y2 )
= Y2 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f18]) ).
thf(f18,plain,
( cGRP_UNIT
= ( ^ [X0: g > g > g,X1: g] :
! [X2: g] :
( ( ( X0 @ X1 @ X2 )
= X2 )
& ( ( X0 @ X2 @ X1 )
= X2 ) ) ) ),
inference(rectify,[status(thm)],[f4]) ).
thf(f4,axiom,
( cGRP_UNIT
= ( ^ [X0: g > g > g,X6: g] :
! [X1: g] :
( ( ( X0 @ X6 @ X1 )
= X1 )
& ( ( X0 @ X1 @ X6 )
= X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.VLG6bBhH7f/DTF2THF_20481.p',cGRP_UNIT_def) ).
thf(f26,plain,
( cGRP_INVERSE
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( ( Y0 @ Y2 @ Y3 )
= Y1 )
& ( ( Y0 @ Y3 @ Y2 )
= Y1 ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
thf(f22,plain,
( cGRP_INVERSE
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( ( Y0 @ Y2 @ Y3 )
= Y1 )
& ( ( Y0 @ Y3 @ Y2 )
= Y1 ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f21]) ).
thf(f21,plain,
( ( ^ [X0: g > g > g,X1: g] :
! [X2: g] :
? [X3: g] :
( ( ( X0 @ X3 @ X2 )
= X1 )
& ( ( X0 @ X2 @ X3 )
= X1 ) ) )
= cGRP_INVERSE ),
inference(rectify,[status(thm)],[f3]) ).
thf(f3,axiom,
( ( ^ [X0: g > g > g,X6: g] :
! [X1: g] :
? [X2: g] :
( ( ( X0 @ X2 @ X1 )
= X6 )
& ( ( X0 @ X1 @ X2 )
= X6 ) ) )
= cGRP_INVERSE ),
file('/export/starexec/sandbox/tmp/tmp.VLG6bBhH7f/DTF2THF_20481.p',cGRP_INVERSE_def) ).
thf(f28,plain,
( cGROUP1
= ( ^ [Y0: g > g > g,Y1: g] :
( ( cGRP_INVERSE @ Y0 @ Y1 )
& ( cGRP_ASSOC @ Y0 )
& ( cGRP_UNIT @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
thf(f13,plain,
( cGROUP1
= ( ^ [Y0: g > g > g,Y1: g] :
( ( cGRP_INVERSE @ Y0 @ Y1 )
& ( cGRP_ASSOC @ Y0 )
& ( cGRP_UNIT @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[status(thm)],[f12]) ).
thf(f12,plain,
( cGROUP1
= ( ^ [X0: g > g > g,X1: g] :
( ( cGRP_UNIT @ X0 @ X1 )
& ( cGRP_ASSOC @ X0 )
& ( cGRP_INVERSE @ X0 @ X1 ) ) ) ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,axiom,
( cGROUP1
= ( ^ [X0: g > g > g,X6: g] :
( ( cGRP_UNIT @ X0 @ X6 )
& ( cGRP_ASSOC @ X0 )
& ( cGRP_INVERSE @ X0 @ X6 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.VLG6bBhH7f/DTF2THF_20481.p',cGROUP1_def) ).
thf(f24,plain,
( $true
= ( ~ ( !! @ ( g > g > g )
@ ^ [Y0: g > g > g] :
( ( ?? @ g
@ ^ [Y1: g] : ( cGROUP1 @ Y0 @ Y1 ) )
= ( cGROUP4 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f15,plain,
( $true
= ( ~ ( !! @ ( g > g > g )
@ ^ [Y0: g > g > g] :
( ( ?? @ g
@ ^ [Y1: g] : ( cGROUP1 @ Y0 @ Y1 ) )
= ( cGROUP4 @ Y0 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f14]) ).
thf(f14,plain,
~ ! [X0: g > g > g] :
( ? [X1: g] : ( cGROUP1 @ X0 @ X1 )
<=> ( cGROUP4 @ X0 ) ),
inference(rectify,[status(thm)],[f8]) ).
thf(f8,negated_conjecture,
~ ! [X0: g > g > g] :
( ? [X6: g] : ( cGROUP1 @ X0 @ X6 )
<=> ( cGROUP4 @ X0 ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
thf(f7,conjecture,
! [X0: g > g > g] :
( ? [X6: g] : ( cGROUP1 @ X0 @ X6 )
<=> ( cGROUP4 @ X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.VLG6bBhH7f/DTF2THF_20481.p',cEQUIV_01_04) ).
thf(f205,plain,
( spl0_6
| spl0_11 ),
inference(avatar_split_clause,[status(thm)],[f204,f189,f121]) ).
thf(f204,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK1 @ X1 @ ( sK10 @ X1 @ X2 ) )
= X2 )
| ( ( sK1 @ X3 @ ( sK12 @ X3 ) )
= sK9 ) ),
inference(equality_proxy_clausification,[status(thm)],[f203]) ).
thf(f203,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK1 @ X1 @ ( sK10 @ X1 @ X2 ) )
= X2 )
| ( ( ( sK1 @ X3 @ ( sK12 @ X3 ) )
= sK9 )
= $true ) ),
inference(equality_proxy_clausification,[status(thm)],[f199]) ).
thf(f199,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ( sK1 @ X1 @ ( sK10 @ X1 @ X2 ) )
= X2 ) )
| ( ( ( sK1 @ X3 @ ( sK12 @ X3 ) )
= sK9 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f197]) ).
thf(f197,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ( ( sK1 @ X3 @ ( sK12 @ X3 ) )
= sK9 )
& ( ( sK1 @ ( sK12 @ X3 ) @ X3 )
= sK9 ) )
= $true )
| ( $true
= ( ( sK1 @ X1 @ ( sK10 @ X1 @ X2 ) )
= X2 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f196]) ).
thf(f196,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ^ [Y0: g] :
( ( sK1 @ X1 @ Y0 )
= X2 )
@ ( sK10 @ X1 @ X2 ) ) )
| ( ( ( ( sK1 @ X3 @ ( sK12 @ X3 ) )
= sK9 )
& ( ( sK1 @ ( sK12 @ X3 ) @ X3 )
= sK9 ) )
= $true ) ),
inference(sigma_clausification,[status(thm)],[f195]) ).
thf(f195,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ X1 @ Y0 )
= X2 ) )
= $true )
| ( ( ( ( sK1 @ X3 @ ( sK12 @ X3 ) )
= sK9 )
& ( ( sK1 @ ( sK12 @ X3 ) @ X3 )
= sK9 ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f194]) ).
thf(f194,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ^ [Y0: g] :
( ( ( sK1 @ X3 @ Y0 )
= sK9 )
& ( ( sK1 @ Y0 @ X3 )
= sK9 ) )
@ ( sK12 @ X3 ) )
= $true )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ X1 @ Y0 )
= X2 ) )
= $true ) ),
inference(sigma_clausification,[status(thm)],[f193]) ).
thf(f193,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ?? @ g
@ ^ [Y0: g] :
( ( ( sK1 @ X3 @ Y0 )
= sK9 )
& ( ( sK1 @ Y0 @ X3 )
= sK9 ) ) )
= $true )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ X1 @ Y0 )
= X2 ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f192]) ).
thf(f192,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= sK9 )
& ( ( sK1 @ Y1 @ Y0 )
= sK9 ) ) )
@ X3 ) )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ X1 @ Y0 )
= X2 ) )
= $true ) ),
inference(pi_clausification,[status(thm)],[f171]) ).
thf(f171,plain,
! [X2: g,X1: g] :
( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= sK9 )
& ( ( sK1 @ Y1 @ Y0 )
= sK9 ) ) ) )
= $true )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ X1 @ Y0 )
= X2 ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f148]) ).
thf(f148,plain,
! [X2: g,X1: g] :
( ( $true
= ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ X1 @ Y0 )
= X2 ) )
& ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ Y0 @ X1 )
= X2 ) ) ) )
| ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= sK9 )
& ( ( sK1 @ Y1 @ Y0 )
= sK9 ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f106]) ).
thf(f106,plain,
! [X2: g,X1: g] :
( ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= sK9 )
& ( ( sK1 @ Y1 @ Y0 )
= sK9 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) ) )
= $true )
| ( $true
= ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ X1 @ Y0 )
= X2 ) )
& ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ Y0 @ X1 )
= X2 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f104]) ).
thf(f104,plain,
! [X2: g,X1: g] :
( ( $true
= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= sK9 )
& ( ( sK1 @ Y1 @ Y0 )
= sK9 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( ( sK1 @ Y0 @ sK9 )
= Y0 )
& ( ( sK1 @ sK9 @ Y0 )
= Y0 ) ) ) ) )
| ( $true
= ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ X1 @ Y0 )
= X2 ) )
& ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ Y0 @ X1 )
= X2 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f103]) ).
thf(f103,plain,
! [X2: g,X1: g] :
( ( $true
= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= sK9 )
& ( ( sK1 @ Y1 @ Y0 )
= sK9 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( ( sK1 @ Y0 @ sK9 )
= Y0 )
& ( ( sK1 @ sK9 @ Y0 )
= Y0 ) ) ) ) )
| ( ( ^ [Y0: g] :
( ( ?? @ g
@ ^ [Y1: g] :
( ( sK1 @ X1 @ Y1 )
= Y0 ) )
& ( ?? @ g
@ ^ [Y1: g] :
( ( sK1 @ Y1 @ X1 )
= Y0 ) ) )
@ X2 )
= $true ) ),
inference(pi_clausification,[status(thm)],[f102]) ).
thf(f102,plain,
! [X1: g] :
( ( $true
= ( !! @ g
@ ^ [Y0: g] :
( ( ?? @ g
@ ^ [Y1: g] :
( ( sK1 @ X1 @ Y1 )
= Y0 ) )
& ( ?? @ g
@ ^ [Y1: g] :
( ( sK1 @ Y1 @ X1 )
= Y0 ) ) ) ) )
| ( $true
= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= sK9 )
& ( ( sK1 @ Y1 @ Y0 )
= sK9 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( ( sK1 @ Y0 @ sK9 )
= Y0 )
& ( ( sK1 @ sK9 @ Y0 )
= Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f101]) ).
thf(f101,plain,
! [X1: g] :
( ( $true
= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= sK9 )
& ( ( sK1 @ Y1 @ Y0 )
= sK9 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( ( sK1 @ Y0 @ sK9 )
= Y0 )
& ( ( sK1 @ sK9 @ Y0 )
= Y0 ) ) ) ) )
| ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK1 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK1 @ Y2 @ Y0 )
= Y1 ) ) ) )
@ X1 )
= $true ) ),
inference(pi_clausification,[status(thm)],[f100]) ).
thf(f100,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK1 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK1 @ Y2 @ Y0 )
= Y1 ) ) ) ) )
= $true )
| ( $true
= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= sK9 )
& ( ( sK1 @ Y1 @ Y0 )
= sK9 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( ( sK1 @ Y0 @ sK9 )
= Y0 )
& ( ( sK1 @ sK9 @ Y0 )
= Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f99]) ).
thf(f99,plain,
( ( ( ^ [Y0: g] :
( ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( ( sK1 @ Y1 @ Y2 )
= Y0 )
& ( ( sK1 @ Y2 @ Y1 )
= Y0 ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( sK1 @ ( sK1 @ Y3 @ Y2 ) @ Y1 )
= ( sK1 @ Y3 @ ( sK1 @ Y2 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y1 @ Y0 )
= Y1 )
& ( ( sK1 @ Y0 @ Y1 )
= Y1 ) ) ) )
@ sK9 )
= $true )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK1 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK1 @ Y2 @ Y0 )
= Y1 ) ) ) ) )
= $true ) ),
inference(sigma_clausification,[status(thm)],[f97]) ).
thf(f97,plain,
( ( $true
= ( ?? @ g
@ ^ [Y0: g] :
( ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( ( sK1 @ Y1 @ Y2 )
= Y0 )
& ( ( sK1 @ Y2 @ Y1 )
= Y0 ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( sK1 @ ( sK1 @ Y3 @ Y2 ) @ Y1 )
= ( sK1 @ Y3 @ ( sK1 @ Y2 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y1 @ Y0 )
= Y1 )
& ( ( sK1 @ Y0 @ Y1 )
= Y1 ) ) ) ) ) )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK1 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK1 @ Y2 @ Y0 )
= Y1 ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f38]) ).
thf(f202,plain,
( spl0_6
| spl0_10 ),
inference(avatar_split_clause,[status(thm)],[f201,f183,f121]) ).
thf(f201,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK1 @ X1 @ ( sK10 @ X1 @ X2 ) )
= X2 )
| ( ( sK1 @ ( sK12 @ X3 ) @ X3 )
= sK9 ) ),
inference(equality_proxy_clausification,[status(thm)],[f200]) ).
thf(f200,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK1 @ X1 @ ( sK10 @ X1 @ X2 ) )
= X2 )
| ( ( ( sK1 @ ( sK12 @ X3 ) @ X3 )
= sK9 )
= $true ) ),
inference(equality_proxy_clausification,[status(thm)],[f198]) ).
thf(f198,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ( sK1 @ X1 @ ( sK10 @ X1 @ X2 ) )
= X2 ) )
| ( ( ( sK1 @ ( sK12 @ X3 ) @ X3 )
= sK9 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f197]) ).
thf(f191,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[status(thm)],[f187,f189,f139]) ).
thf(f187,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK1 @ X3 @ ( sK12 @ X3 ) )
= sK9 )
| ( ( sK1 @ ( sK11 @ X1 @ X2 ) @ X1 )
= X2 ) ),
inference(equality_proxy_clausification,[status(thm)],[f186]) ).
thf(f186,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK1 @ X3 @ ( sK12 @ X3 ) )
= sK9 )
| ( ( ( sK1 @ ( sK11 @ X1 @ X2 ) @ X1 )
= X2 )
= $true ) ),
inference(equality_proxy_clausification,[status(thm)],[f179]) ).
thf(f179,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ( sK1 @ X3 @ ( sK12 @ X3 ) )
= sK9 )
= $true )
| ( ( ( sK1 @ ( sK11 @ X1 @ X2 ) @ X1 )
= X2 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f177]) ).
thf(f177,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ( ( sK1 @ X3 @ ( sK12 @ X3 ) )
= sK9 )
& ( ( sK1 @ ( sK12 @ X3 ) @ X3 )
= sK9 ) )
= $true )
| ( ( ( sK1 @ ( sK11 @ X1 @ X2 ) @ X1 )
= X2 )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f176]) ).
thf(f176,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ^ [Y0: g] :
( ( ( sK1 @ X3 @ Y0 )
= sK9 )
& ( ( sK1 @ Y0 @ X3 )
= sK9 ) )
@ ( sK12 @ X3 ) )
= $true )
| ( ( ( sK1 @ ( sK11 @ X1 @ X2 ) @ X1 )
= X2 )
= $true ) ),
inference(sigma_clausification,[status(thm)],[f175]) ).
thf(f175,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ?? @ g
@ ^ [Y0: g] :
( ( ( sK1 @ X3 @ Y0 )
= sK9 )
& ( ( sK1 @ Y0 @ X3 )
= sK9 ) ) )
= $true )
| ( ( ( sK1 @ ( sK11 @ X1 @ X2 ) @ X1 )
= X2 )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f174]) ).
thf(f174,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ?? @ g
@ ^ [Y0: g] :
( ( ( sK1 @ X3 @ Y0 )
= sK9 )
& ( ( sK1 @ Y0 @ X3 )
= sK9 ) ) )
= $true )
| ( ( ^ [Y0: g] :
( ( sK1 @ Y0 @ X1 )
= X2 )
@ ( sK11 @ X1 @ X2 ) )
= $true ) ),
inference(sigma_clausification,[status(thm)],[f173]) ).
thf(f173,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ Y0 @ X1 )
= X2 ) ) )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( ( sK1 @ X3 @ Y0 )
= sK9 )
& ( ( sK1 @ Y0 @ X3 )
= sK9 ) ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f172]) ).
thf(f172,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= sK9 )
& ( ( sK1 @ Y1 @ Y0 )
= sK9 ) ) )
@ X3 ) )
| ( $true
= ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ Y0 @ X1 )
= X2 ) ) ) ),
inference(pi_clausification,[status(thm)],[f170]) ).
thf(f170,plain,
! [X2: g,X1: g] :
( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= sK9 )
& ( ( sK1 @ Y1 @ Y0 )
= sK9 ) ) ) )
= $true )
| ( $true
= ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ Y0 @ X1 )
= X2 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f148]) ).
thf(f185,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[status(thm)],[f181,f139,f183]) ).
thf(f181,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK1 @ ( sK11 @ X1 @ X2 ) @ X1 )
= X2 )
| ( ( sK1 @ ( sK12 @ X3 ) @ X3 )
= sK9 ) ),
inference(equality_proxy_clausification,[status(thm)],[f180]) ).
thf(f180,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK1 @ ( sK12 @ X3 ) @ X3 )
= sK9 )
| ( ( ( sK1 @ ( sK11 @ X1 @ X2 ) @ X1 )
= X2 )
= $true ) ),
inference(equality_proxy_clausification,[status(thm)],[f178]) ).
thf(f178,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ( sK1 @ ( sK12 @ X3 ) @ X3 )
= sK9 )
= $true )
| ( ( ( sK1 @ ( sK11 @ X1 @ X2 ) @ X1 )
= X2 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f177]) ).
thf(f146,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[status(thm)],[f145,f139,f129]) ).
thf(f145,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK1 @ ( sK11 @ X1 @ X2 ) @ X1 )
= X2 )
| ( ( sK1 @ X3 @ sK9 )
= X3 ) ),
inference(equality_proxy_clausification,[status(thm)],[f144]) ).
thf(f144,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK1 @ ( sK11 @ X1 @ X2 ) @ X1 )
= X2 )
| ( $true
= ( ( sK1 @ X3 @ sK9 )
= X3 ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f143]) ).
thf(f143,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ( sK1 @ ( sK11 @ X1 @ X2 ) @ X1 )
= X2 )
= $true )
| ( $true
= ( ( sK1 @ X3 @ sK9 )
= X3 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f142]) ).
thf(f142,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ( sK1 @ X3 @ sK9 )
= X3 ) )
| ( ( ^ [Y0: g] :
( ( sK1 @ Y0 @ X1 )
= X2 )
@ ( sK11 @ X1 @ X2 ) )
= $true ) ),
inference(sigma_clausification,[status(thm)],[f133]) ).
thf(f133,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ Y0 @ X1 )
= X2 ) ) )
| ( $true
= ( ( sK1 @ X3 @ sK9 )
= X3 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f109]) ).
thf(f109,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ( ( sK1 @ X3 @ sK9 )
= X3 )
& ( ( sK1 @ sK9 @ X3 )
= X3 ) )
= $true )
| ( $true
= ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ Y0 @ X1 )
= X2 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f108]) ).
thf(f108,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ X1 @ Y0 )
= X2 ) )
& ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ Y0 @ X1 )
= X2 ) ) ) )
| ( ( ( ( sK1 @ X3 @ sK9 )
= X3 )
& ( ( sK1 @ sK9 @ X3 )
= X3 ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f107]) ).
thf(f107,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ^ [Y0: g] :
( ( ( sK1 @ Y0 @ sK9 )
= Y0 )
& ( ( sK1 @ sK9 @ Y0 )
= Y0 ) )
@ X3 )
= $true )
| ( $true
= ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ X1 @ Y0 )
= X2 ) )
& ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ Y0 @ X1 )
= X2 ) ) ) ) ),
inference(pi_clausification,[status(thm)],[f105]) ).
thf(f105,plain,
! [X2: g,X1: g] :
( ( ( !! @ g
@ ^ [Y0: g] :
( ( ( sK1 @ Y0 @ sK9 )
= Y0 )
& ( ( sK1 @ sK9 @ Y0 )
= Y0 ) ) )
= $true )
| ( $true
= ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ X1 @ Y0 )
= X2 ) )
& ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ Y0 @ X1 )
= X2 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f104]) ).
thf(f141,plain,
( spl0_5
| spl0_8 ),
inference(avatar_split_clause,[status(thm)],[f137,f139,f118]) ).
thf(f137,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK1 @ ( sK11 @ X1 @ X2 ) @ X1 )
= X2 )
| ( ( sK1 @ sK9 @ X3 )
= X3 ) ),
inference(equality_proxy_clausification,[status(thm)],[f136]) ).
thf(f136,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK1 @ ( sK11 @ X1 @ X2 ) @ X1 )
= X2 )
| ( ( ( sK1 @ sK9 @ X3 )
= X3 )
= $true ) ),
inference(equality_proxy_clausification,[status(thm)],[f135]) ).
thf(f135,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ( sK1 @ ( sK11 @ X1 @ X2 ) @ X1 )
= X2 )
= $true )
| ( ( ( sK1 @ sK9 @ X3 )
= X3 )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f134]) ).
thf(f134,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ^ [Y0: g] :
( ( sK1 @ Y0 @ X1 )
= X2 )
@ ( sK11 @ X1 @ X2 ) )
= $true )
| ( ( ( sK1 @ sK9 @ X3 )
= X3 )
= $true ) ),
inference(sigma_clausification,[status(thm)],[f132]) ).
thf(f132,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ Y0 @ X1 )
= X2 ) ) )
| ( ( ( sK1 @ sK9 @ X3 )
= X3 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f109]) ).
thf(f131,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[status(thm)],[f127,f121,f129]) ).
thf(f127,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK1 @ X1 @ ( sK10 @ X1 @ X2 ) )
= X2 )
| ( ( sK1 @ X3 @ sK9 )
= X3 ) ),
inference(equality_proxy_clausification,[status(thm)],[f126]) ).
thf(f126,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ( sK1 @ X1 @ ( sK10 @ X1 @ X2 ) )
= X2 ) )
| ( ( sK1 @ X3 @ sK9 )
= X3 ) ),
inference(beta_eta_normalization,[status(thm)],[f125]) ).
thf(f125,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ^ [Y0: g] :
( ( sK1 @ X1 @ Y0 )
= X2 )
@ ( sK10 @ X1 @ X2 ) ) )
| ( ( sK1 @ X3 @ sK9 )
= X3 ) ),
inference(sigma_clausification,[status(thm)],[f124]) ).
thf(f124,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK1 @ X3 @ sK9 )
= X3 )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ X1 @ Y0 )
= X2 ) )
= $true ) ),
inference(equality_proxy_clausification,[status(thm)],[f112]) ).
thf(f112,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ( sK1 @ X3 @ sK9 )
= X3 ) )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ X1 @ Y0 )
= X2 ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f110]) ).
thf(f110,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ( ( sK1 @ X3 @ sK9 )
= X3 )
& ( ( sK1 @ sK9 @ X3 )
= X3 ) )
= $true )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ X1 @ Y0 )
= X2 ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f108]) ).
thf(f123,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[status(thm)],[f116,f121,f118]) ).
thf(f116,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK1 @ X1 @ ( sK10 @ X1 @ X2 ) )
= X2 )
| ( ( sK1 @ sK9 @ X3 )
= X3 ) ),
inference(equality_proxy_clausification,[status(thm)],[f115]) ).
thf(f115,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ( sK1 @ sK9 @ X3 )
= X3 )
= $true )
| ( ( sK1 @ X1 @ ( sK10 @ X1 @ X2 ) )
= X2 ) ),
inference(equality_proxy_clausification,[status(thm)],[f114]) ).
thf(f114,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ( sK1 @ X1 @ ( sK10 @ X1 @ X2 ) )
= X2 ) )
| ( ( ( sK1 @ sK9 @ X3 )
= X3 )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f113]) ).
thf(f113,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ( sK1 @ sK9 @ X3 )
= X3 )
= $true )
| ( $true
= ( ^ [Y0: g] :
( ( sK1 @ X1 @ Y0 )
= X2 )
@ ( sK10 @ X1 @ X2 ) ) ) ),
inference(sigma_clausification,[status(thm)],[f111]) ).
thf(f111,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ X1 @ Y0 )
= X2 ) )
= $true )
| ( ( ( sK1 @ sK9 @ X3 )
= X3 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f110]) ).
thf(f96,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[status(thm)],[f82,f94,f91,f88,f84]) ).
thf(f82,plain,
! [X2: g,X3: g,X1: g,X4: g] :
( ( ( sK1 @ X3 @ ( sK8 @ X1 ) )
!= X1 )
| ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( ( sK1 @ ( sK8 @ X1 ) @ X3 )
!= X1 )
| ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) )
| ( sK3
!= ( sK1 @ sK2 @ X4 ) )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f81]) ).
thf(f81,plain,
! [X2: g,X3: g,X1: g,X4: g] :
( ( ( ( sK1 @ sK2 @ X4 )
= sK3 )
= $false )
| ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( ( sK1 @ ( sK8 @ X1 ) @ X3 )
!= X1 )
| ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( sK1 @ X3 @ ( sK8 @ X1 ) )
!= X1 )
| ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f80]) ).
thf(f80,plain,
! [X2: g,X3: g,X1: g,X4: g] :
( ( $false
= ( ( sK1 @ X3 @ ( sK8 @ X1 ) )
= X1 ) )
| ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) )
| ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) )
| ( ( ( sK1 @ sK2 @ X4 )
= sK3 )
= $false )
| ( ( sK1 @ ( sK8 @ X1 ) @ X3 )
!= X1 )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 ) ),
inference(beta_eta_normalization,[status(thm)],[f79]) ).
thf(f79,plain,
! [X2: g,X3: g,X1: g,X4: g] :
( ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) )
| ( ( sK1 @ ( sK8 @ X1 ) @ X3 )
!= X1 )
| ( $false
= ( ( sK1 @ X3 @ ( sK8 @ X1 ) )
= X1 ) )
| ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 )
@ X4 )
= $false ) ),
inference(pi_clausification,[status(thm)],[f78]) ).
thf(f78,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) )
| ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( $false
= ( ( sK1 @ X3 @ ( sK8 @ X1 ) )
= X1 ) )
| ( ( sK1 @ ( sK8 @ X1 ) @ X3 )
!= X1 ) ),
inference(duplicate_literal_removal,[status(thm)],[f77]) ).
thf(f77,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( sK1 @ ( sK8 @ X1 ) @ X3 )
!= X1 )
| ( $false
= ( ( sK1 @ X3 @ ( sK8 @ X1 ) )
= X1 ) )
| ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f76]) ).
thf(f76,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 )
= ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) ) )
= $false )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) )
| ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) )
| ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( ( sK1 @ ( sK8 @ X1 ) @ X3 )
!= X1 )
| ( $false
= ( ( sK1 @ X3 @ ( sK8 @ X1 ) )
= X1 ) )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false ) ),
inference(equality_proxy_clausification,[status(thm)],[f75]) ).
thf(f75,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ( sK1 @ ( sK8 @ X1 ) @ X3 )
= X1 )
= $false )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( ( ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 )
= ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) ) )
= $false )
| ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) )
| ( $false
= ( ( sK1 @ X3 @ ( sK8 @ X1 ) )
= X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f74]) ).
thf(f74,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ( ( sK1 @ ( sK8 @ X1 ) @ X3 )
= X1 )
& ( ( sK1 @ X3 @ ( sK8 @ X1 ) )
= X1 ) )
= $false )
| ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( ( ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 )
= ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) ) )
= $false )
| ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f73]) ).
thf(f73,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 )
= ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) ) )
= $false )
| ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( ( ^ [Y0: g] :
( ( ( sK1 @ ( sK8 @ X1 ) @ Y0 )
= X1 )
& ( ( sK1 @ Y0 @ ( sK8 @ X1 ) )
= X1 ) )
@ X3 )
= $false ) ),
inference(pi_clausification,[status(thm)],[f72]) ).
thf(f72,plain,
! [X2: g,X1: g] :
( ( ( ?? @ g
@ ^ [Y0: g] :
( ( ( sK1 @ ( sK8 @ X1 ) @ Y0 )
= X1 )
& ( ( sK1 @ Y0 @ ( sK8 @ X1 ) )
= X1 ) ) )
= $false )
| ( ( ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 )
= ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) ) )
= $false )
| ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f71]) ).
thf(f71,plain,
! [X2: g,X1: g] :
( ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( ( sK1 @ ( sK8 @ X1 ) @ Y0 )
= X1 )
& ( ( sK1 @ Y0 @ ( sK8 @ X1 ) )
= X1 ) ) )
= $false )
| ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) )
| ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( ^ [Y0: g] :
( ( sK1 @ ( sK1 @ Y0 @ sK6 ) @ sK4 )
= ( sK1 @ Y0 @ ( sK1 @ sK6 @ sK4 ) ) )
@ sK7 )
= $false )
| ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) ) ),
inference(sigma_clausification,[status(thm)],[f70]) ).
thf(f70,plain,
! [X2: g,X1: g] :
( ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) )
| ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) )
| ( $false
= ( !! @ g
@ ^ [Y0: g] :
( ( sK1 @ ( sK1 @ Y0 @ sK6 ) @ sK4 )
= ( sK1 @ Y0 @ ( sK1 @ sK6 @ sK4 ) ) ) ) )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( ( sK1 @ ( sK8 @ X1 ) @ Y0 )
= X1 )
& ( ( sK1 @ Y0 @ ( sK8 @ X1 ) )
= X1 ) ) )
= $false )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f69]) ).
thf(f69,plain,
! [X2: g,X1: g] :
( ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( $false
= ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK1 @ ( sK1 @ Y1 @ Y0 ) @ sK4 )
= ( sK1 @ Y1 @ ( sK1 @ Y0 @ sK4 ) ) ) )
@ sK6 ) )
| ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( ( sK1 @ ( sK8 @ X1 ) @ Y0 )
= X1 )
& ( ( sK1 @ Y0 @ ( sK8 @ X1 ) )
= X1 ) ) )
= $false )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 ) ),
inference(sigma_clausification,[status(thm)],[f68]) ).
thf(f68,plain,
! [X2: g,X1: g] :
( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK1 @ ( sK1 @ Y1 @ Y0 ) @ sK4 )
= ( sK1 @ Y1 @ ( sK1 @ Y0 @ sK4 ) ) ) ) )
= $false )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( ( sK1 @ ( sK8 @ X1 ) @ Y0 )
= X1 )
& ( ( sK1 @ Y0 @ ( sK8 @ X1 ) )
= X1 ) ) )
= $false )
| ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) )
| ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f67]) ).
thf(f67,plain,
! [X2: g,X1: g] :
( ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( ( sK1 @ ( sK8 @ X1 ) @ Y0 )
= X1 )
& ( ( sK1 @ Y0 @ ( sK8 @ X1 ) )
= X1 ) ) )
= $false )
| ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) )
@ sK4 )
= $false )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) )
| ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) ) ),
inference(sigma_clausification,[status(thm)],[f66]) ).
thf(f66,plain,
! [X2: g,X1: g] :
( ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
= $false )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( ( sK1 @ ( sK8 @ X1 ) @ Y0 )
= X1 )
& ( ( sK1 @ Y0 @ ( sK8 @ X1 ) )
= X1 ) ) )
= $false )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f65]) ).
thf(f65,plain,
! [X2: g,X1: g] :
( ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) )
| ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
= $false )
| ( $false
= ( ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= X1 )
& ( ( sK1 @ Y1 @ Y0 )
= X1 ) ) )
@ ( sK8 @ X1 ) ) )
| ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false ) ),
inference(sigma_clausification,[status(thm)],[f64]) ).
thf(f64,plain,
! [X2: g,X1: g] :
( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= X1 )
& ( ( sK1 @ Y1 @ Y0 )
= X1 ) ) ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
= $false )
| ( ( sK5 @ X1 )
!= ( sK1 @ X1 @ ( sK5 @ X1 ) ) )
| ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) )
| ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false ) ),
inference(equality_proxy_clausification,[status(thm)],[f63]) ).
thf(f63,plain,
! [X2: g,X1: g] :
( ( ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) )
!= ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 ) )
| ( ( ( sK1 @ X1 @ ( sK5 @ X1 ) )
= ( sK5 @ X1 ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= X1 )
& ( ( sK1 @ Y1 @ Y0 )
= X1 ) ) ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
= $false )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f62]) ).
thf(f62,plain,
! [X2: g,X1: g] :
( ( ( ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 )
= ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) ) )
= $false )
| ( ( sK5 @ X1 )
!= ( sK1 @ ( sK5 @ X1 ) @ X1 ) )
| ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= X1 )
& ( ( sK1 @ Y1 @ Y0 )
= X1 ) ) ) )
= $false )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( ( sK1 @ X1 @ ( sK5 @ X1 ) )
= ( sK5 @ X1 ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
= $false )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false ) ),
inference(equality_proxy_clausification,[status(thm)],[f61]) ).
thf(f61,plain,
! [X2: g,X1: g] :
( ( ( ( sK1 @ ( sK5 @ X1 ) @ X1 )
= ( sK5 @ X1 ) )
= $false )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= X1 )
& ( ( sK1 @ Y1 @ Y0 )
= X1 ) ) ) )
= $false )
| ( ( ( sK1 @ X1 @ ( sK5 @ X1 ) )
= ( sK5 @ X1 ) )
= $false )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 )
= ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f60]) ).
thf(f60,plain,
! [X2: g,X1: g] :
( ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= X1 )
& ( ( sK1 @ Y1 @ Y0 )
= X1 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1 @ ( sK5 @ X1 ) @ X1 )
= ( sK5 @ X1 ) )
= $false )
| ( ( ( sK1 @ X1 @ ( sK5 @ X1 ) )
= ( sK5 @ X1 ) )
= $false )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( ( ( sK1 @ ( sK1 @ sK7 @ sK6 ) @ sK4 )
= ( sK1 @ sK7 @ ( sK1 @ sK6 @ sK4 ) ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f59]) ).
thf(f59,plain,
! [X2: g,X1: g] :
( ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( ( ( sK1 @ X1 @ ( sK5 @ X1 ) )
= ( sK5 @ X1 ) )
= $false )
| ( ( ^ [Y0: g] :
( ( sK1 @ ( sK1 @ Y0 @ sK6 ) @ sK4 )
= ( sK1 @ Y0 @ ( sK1 @ sK6 @ sK4 ) ) )
@ sK7 )
= $false )
| ( ( ( sK1 @ ( sK5 @ X1 ) @ X1 )
= ( sK5 @ X1 ) )
= $false )
| ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= X1 )
& ( ( sK1 @ Y1 @ Y0 )
= X1 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) ) )
= $false )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 ) ),
inference(sigma_clausification,[status(thm)],[f58]) ).
thf(f58,plain,
! [X2: g,X1: g] :
( ( $false
= ( !! @ g
@ ^ [Y0: g] :
( ( sK1 @ ( sK1 @ Y0 @ sK6 ) @ sK4 )
= ( sK1 @ Y0 @ ( sK1 @ sK6 @ sK4 ) ) ) ) )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( ( ( sK1 @ X1 @ ( sK5 @ X1 ) )
= ( sK5 @ X1 ) )
= $false )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( ( sK1 @ ( sK5 @ X1 ) @ X1 )
= ( sK5 @ X1 ) )
= $false )
| ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= X1 )
& ( ( sK1 @ Y1 @ Y0 )
= X1 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f57]) ).
thf(f57,plain,
! [X2: g,X1: g] :
( ( ( ( ( sK1 @ ( sK5 @ X1 ) @ X1 )
= ( sK5 @ X1 ) )
& ( ( sK1 @ X1 @ ( sK5 @ X1 ) )
= ( sK5 @ X1 ) ) )
= $false )
| ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= X1 )
& ( ( sK1 @ Y1 @ Y0 )
= X1 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) ) )
= $false )
| ( ( sK1 @ X2 @ sK2 )
!= sK3 )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( $false
= ( !! @ g
@ ^ [Y0: g] :
( ( sK1 @ ( sK1 @ Y0 @ sK6 ) @ sK4 )
= ( sK1 @ Y0 @ ( sK1 @ sK6 @ sK4 ) ) ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f56]) ).
thf(f56,plain,
! [X2: g,X1: g] :
( ( ( ( sK1 @ X2 @ sK2 )
= sK3 )
= $false )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= X1 )
& ( ( sK1 @ Y1 @ Y0 )
= X1 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) ) )
= $false )
| ( ( ( ( sK1 @ ( sK5 @ X1 ) @ X1 )
= ( sK5 @ X1 ) )
& ( ( sK1 @ X1 @ ( sK5 @ X1 ) )
= ( sK5 @ X1 ) ) )
= $false )
| ( $false
= ( !! @ g
@ ^ [Y0: g] :
( ( sK1 @ ( sK1 @ Y0 @ sK6 ) @ sK4 )
= ( sK1 @ Y0 @ ( sK1 @ sK6 @ sK4 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f55]) ).
thf(f55,plain,
! [X2: g,X1: g] :
( ( ( ( sK1 @ X2 @ sK2 )
= sK3 )
= $false )
| ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= X1 )
& ( ( sK1 @ Y1 @ Y0 )
= X1 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) ) )
= $false )
| ( ( ( ( sK1 @ ( sK5 @ X1 ) @ X1 )
= ( sK5 @ X1 ) )
& ( ( sK1 @ X1 @ ( sK5 @ X1 ) )
= ( sK5 @ X1 ) ) )
= $false )
| ( $false
= ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK1 @ ( sK1 @ Y1 @ Y0 ) @ sK4 )
= ( sK1 @ Y1 @ ( sK1 @ Y0 @ sK4 ) ) ) )
@ sK6 ) )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false ) ),
inference(sigma_clausification,[status(thm)],[f54]) ).
thf(f54,plain,
! [X2: g,X1: g] :
( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK1 @ ( sK1 @ Y1 @ Y0 ) @ sK4 )
= ( sK1 @ Y1 @ ( sK1 @ Y0 @ sK4 ) ) ) ) )
= $false )
| ( ( ( ( sK1 @ ( sK5 @ X1 ) @ X1 )
= ( sK5 @ X1 ) )
& ( ( sK1 @ X1 @ ( sK5 @ X1 ) )
= ( sK5 @ X1 ) ) )
= $false )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= X1 )
& ( ( sK1 @ Y1 @ Y0 )
= X1 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1 @ X2 @ sK2 )
= sK3 )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f53]) ).
thf(f53,plain,
! [X2: g,X1: g] :
( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK1 @ ( sK1 @ Y1 @ Y0 ) @ sK4 )
= ( sK1 @ Y1 @ ( sK1 @ Y0 @ sK4 ) ) ) ) )
= $false )
| ( ( ( sK1 @ X2 @ sK2 )
= sK3 )
= $false )
| ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= X1 )
& ( ( sK1 @ Y1 @ Y0 )
= X1 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) ) )
= $false )
| ( ( ^ [Y0: g] :
( ( ( sK1 @ Y0 @ X1 )
= Y0 )
& ( ( sK1 @ X1 @ Y0 )
= Y0 ) )
@ ( sK5 @ X1 ) )
= $false )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false ) ),
inference(sigma_clausification,[status(thm)],[f52]) ).
thf(f52,plain,
! [X2: g,X1: g] :
( ( ( !! @ g
@ ^ [Y0: g] :
( ( ( sK1 @ Y0 @ X1 )
= Y0 )
& ( ( sK1 @ X1 @ Y0 )
= Y0 ) ) )
= $false )
| ( ( ( sK1 @ X2 @ sK2 )
= sK3 )
= $false )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= X1 )
& ( ( sK1 @ Y1 @ Y0 )
= X1 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK1 @ ( sK1 @ Y1 @ Y0 ) @ sK4 )
= ( sK1 @ Y1 @ ( sK1 @ Y0 @ sK4 ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f51]) ).
thf(f51,plain,
! [X2: g,X1: g] :
( ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= X1 )
& ( ( sK1 @ Y1 @ Y0 )
= X1 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( ( sK1 @ Y0 @ X1 )
= Y0 )
& ( ( sK1 @ X1 @ Y0 )
= Y0 ) ) ) )
= $false )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK1 @ ( sK1 @ Y1 @ Y0 ) @ sK4 )
= ( sK1 @ Y1 @ ( sK1 @ Y0 @ sK4 ) ) ) ) )
= $false )
| ( ( ( sK1 @ X2 @ sK2 )
= sK3 )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f50]) ).
thf(f50,plain,
! [X2: g,X1: g] :
( ( ( ^ [Y0: g] :
( ( sK1 @ Y0 @ sK2 )
= sK3 )
@ X2 )
= $false )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= X1 )
& ( ( sK1 @ Y1 @ Y0 )
= X1 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( ( sK1 @ Y0 @ X1 )
= Y0 )
& ( ( sK1 @ X1 @ Y0 )
= Y0 ) ) ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK1 @ ( sK1 @ Y1 @ Y0 ) @ sK4 )
= ( sK1 @ Y1 @ ( sK1 @ Y0 @ sK4 ) ) ) ) )
= $false ) ),
inference(pi_clausification,[status(thm)],[f49]) ).
thf(f49,plain,
! [X1: g] :
( ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ Y0 @ sK2 )
= sK3 ) )
= $false )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK1 @ ( sK1 @ Y1 @ Y0 ) @ sK4 )
= ( sK1 @ Y1 @ ( sK1 @ Y0 @ sK4 ) ) ) ) )
= $false )
| ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= X1 )
& ( ( sK1 @ Y1 @ Y0 )
= X1 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( ( sK1 @ Y0 @ X1 )
= Y0 )
& ( ( sK1 @ X1 @ Y0 )
= Y0 ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f48]) ).
thf(f48,plain,
! [X1: g] :
( ( ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
& ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ Y0 @ sK2 )
= sK3 ) ) )
= $false )
| ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= X1 )
& ( ( sK1 @ Y1 @ Y0 )
= X1 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( ( sK1 @ Y0 @ X1 )
= Y0 )
& ( ( sK1 @ X1 @ Y0 )
= Y0 ) ) ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK1 @ ( sK1 @ Y1 @ Y0 ) @ sK4 )
= ( sK1 @ Y1 @ ( sK1 @ Y0 @ sK4 ) ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f47]) ).
thf(f47,plain,
! [X1: g] :
( ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= X1 )
& ( ( sK1 @ Y1 @ Y0 )
= X1 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( ( sK1 @ Y0 @ X1 )
= Y0 )
& ( ( sK1 @ X1 @ Y0 )
= Y0 ) ) ) )
= $false )
| ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) )
@ sK4 )
= $false )
| ( ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
& ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ Y0 @ sK2 )
= sK3 ) ) )
= $false ) ),
inference(sigma_clausification,[status(thm)],[f46]) ).
thf(f46,plain,
! [X1: g] :
( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
= $false )
| ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y0 @ Y1 )
= X1 )
& ( ( sK1 @ Y1 @ Y0 )
= X1 ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( ( sK1 @ Y0 @ X1 )
= Y0 )
& ( ( sK1 @ X1 @ Y0 )
= Y0 ) ) ) )
= $false )
| ( ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
& ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ Y0 @ sK2 )
= sK3 ) ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f45]) ).
thf(f45,plain,
! [X1: g] :
( ( ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
& ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ Y0 @ sK2 )
= sK3 ) ) )
= $false )
| ( ( ^ [Y0: g] :
( ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( ( sK1 @ Y1 @ Y2 )
= Y0 )
& ( ( sK1 @ Y2 @ Y1 )
= Y0 ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( sK1 @ ( sK1 @ Y3 @ Y2 ) @ Y1 )
= ( sK1 @ Y3 @ ( sK1 @ Y2 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y1 @ Y0 )
= Y1 )
& ( ( sK1 @ Y0 @ Y1 )
= Y1 ) ) ) )
@ X1 )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
= $false ) ),
inference(pi_clausification,[status(thm)],[f44]) ).
thf(f44,plain,
( ( $false
= ( ?? @ g
@ ^ [Y0: g] :
( ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( ( sK1 @ Y1 @ Y2 )
= Y0 )
& ( ( sK1 @ Y2 @ Y1 )
= Y0 ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( sK1 @ ( sK1 @ Y3 @ Y2 ) @ Y1 )
= ( sK1 @ Y3 @ ( sK1 @ Y2 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y1 @ Y0 )
= Y1 )
& ( ( sK1 @ Y0 @ Y1 )
= Y1 ) ) ) ) ) )
| ( ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ sK2 @ Y0 )
= sK3 ) )
& ( ?? @ g
@ ^ [Y0: g] :
( ( sK1 @ Y0 @ sK2 )
= sK3 ) ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f43]) ).
thf(f43,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
= $false )
| ( $false
= ( ?? @ g
@ ^ [Y0: g] :
( ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( ( sK1 @ Y1 @ Y2 )
= Y0 )
& ( ( sK1 @ Y2 @ Y1 )
= Y0 ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( sK1 @ ( sK1 @ Y3 @ Y2 ) @ Y1 )
= ( sK1 @ Y3 @ ( sK1 @ Y2 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y1 @ Y0 )
= Y1 )
& ( ( sK1 @ Y0 @ Y1 )
= Y1 ) ) ) ) ) )
| ( ( ^ [Y0: g] :
( ( ?? @ g
@ ^ [Y1: g] :
( ( sK1 @ sK2 @ Y1 )
= Y0 ) )
& ( ?? @ g
@ ^ [Y1: g] :
( ( sK1 @ Y1 @ sK2 )
= Y0 ) ) )
@ sK3 )
= $false ) ),
inference(sigma_clausification,[status(thm)],[f42]) ).
thf(f42,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( ( ?? @ g
@ ^ [Y1: g] :
( ( sK1 @ sK2 @ Y1 )
= Y0 ) )
& ( ?? @ g
@ ^ [Y1: g] :
( ( sK1 @ Y1 @ sK2 )
= Y0 ) ) ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
= $false )
| ( $false
= ( ?? @ g
@ ^ [Y0: g] :
( ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( ( sK1 @ Y1 @ Y2 )
= Y0 )
& ( ( sK1 @ Y2 @ Y1 )
= Y0 ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( sK1 @ ( sK1 @ Y3 @ Y2 ) @ Y1 )
= ( sK1 @ Y3 @ ( sK1 @ Y2 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y1 @ Y0 )
= Y1 )
& ( ( sK1 @ Y0 @ Y1 )
= Y1 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f41]) ).
thf(f41,plain,
( ( $false
= ( ?? @ g
@ ^ [Y0: g] :
( ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( ( sK1 @ Y1 @ Y2 )
= Y0 )
& ( ( sK1 @ Y2 @ Y1 )
= Y0 ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( sK1 @ ( sK1 @ Y3 @ Y2 ) @ Y1 )
= ( sK1 @ Y3 @ ( sK1 @ Y2 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y1 @ Y0 )
= Y1 )
& ( ( sK1 @ Y0 @ Y1 )
= Y1 ) ) ) ) ) )
| ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK1 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK1 @ Y2 @ Y0 )
= Y1 ) ) ) )
@ sK2 )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
= $false ) ),
inference(sigma_clausification,[status(thm)],[f40]) ).
thf(f40,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK1 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK1 @ Y2 @ Y0 )
= Y1 ) ) ) ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
= $false )
| ( $false
= ( ?? @ g
@ ^ [Y0: g] :
( ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( ( sK1 @ Y1 @ Y2 )
= Y0 )
& ( ( sK1 @ Y2 @ Y1 )
= Y0 ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( sK1 @ ( sK1 @ Y3 @ Y2 ) @ Y1 )
= ( sK1 @ Y3 @ ( sK1 @ Y2 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y1 @ Y0 )
= Y1 )
& ( ( sK1 @ Y0 @ Y1 )
= Y1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f39]) ).
thf(f39,plain,
( ( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK1 @ ( sK1 @ Y2 @ Y1 ) @ Y0 )
= ( sK1 @ Y2 @ ( sK1 @ Y1 @ Y0 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK1 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK1 @ Y2 @ Y0 )
= Y1 ) ) ) ) ) )
= $false )
| ( $false
= ( ?? @ g
@ ^ [Y0: g] :
( ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( ( sK1 @ Y1 @ Y2 )
= Y0 )
& ( ( sK1 @ Y2 @ Y1 )
= Y0 ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( sK1 @ ( sK1 @ Y3 @ Y2 ) @ Y1 )
= ( sK1 @ Y3 @ ( sK1 @ Y2 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ( ( sK1 @ Y1 @ Y0 )
= Y1 )
& ( ( sK1 @ Y0 @ Y1 )
= Y1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ALG276^5 : TPTP v9.2.1. Bugfixed v5.3.0.
% 0.00/0.10 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/0.30 % Computer : n008.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8042.1875MB
% 0.12/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Tue Feb 24 03:42:39 EST 2026
% 0.12/0.30 % CPUTime :
% 0.12/0.30 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.40 ---- Original DTF file ---
% 0.17/0.40 thf(spec,logic,$$dhol).
% 0.17/0.40 %------------------------------------------------------------------------------
% 0.17/0.40 % File : ALG276^5 : TPTP v9.2.1. Bugfixed v5.3.0.
% 0.17/0.40 % Domain : General Algebra
% 0.17/0.40 % Problem : TPS problem from GRP-THMS
% 0.17/0.40 % Version : Especial.
% 0.17/0.40 % English :
% 0.17/0.40
% 0.17/0.40 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.17/0.40 % Source : [Bro09]
% 0.17/0.40 % Names : tps_0641 [Bro09]
% 0.17/0.40
% 0.17/0.40 % Status : Theorem
% 0.17/0.40 % Rating : 0.33 v9.1.0, 0.25 v9.0.0, 0.50 v8.2.0, 0.54 v8.1.0, 0.36 v7.5.0, 0.43 v7.4.0, 0.33 v7.3.0, 0.56 v7.2.0, 0.50 v7.1.0, 0.62 v7.0.0, 0.57 v6.4.0, 0.67 v6.3.0, 0.60 v6.2.0, 0.57 v6.1.0, 0.86 v5.5.0, 1.00 v5.3.0
% 0.17/0.40 % Syntax : Number of formulae : 14 ( 6 unt; 7 typ; 6 def)
% 0.17/0.40 % Number of atoms : 26 ( 13 equ; 0 cnn)
% 0.17/0.40 % Maximal formula atoms : 2 ( 3 avg)
% 0.17/0.40 % Number of connectives : 37 ( 0 ~; 0 |; 6 &; 30 @)
% 0.17/0.40 % ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% 0.17/0.40 % Maximal formula depth : 6 ( 2 avg)
% 0.17/0.40 % Number of types : 2 ( 1 usr)
% 0.17/0.40 % Number of type conns : 35 ( 35 >; 0 *; 0 +; 0 <<)
% 0.17/0.40 % Number of symbols : 7 ( 6 usr; 0 con; 1-2 aty)
% 0.17/0.40 % Number of variables : 21 ( 9 ^; 8 !; 4 ?; 21 :)
% 0.17/0.40 % SPC : TH0_THM_EQU_NAR
% 0.17/0.40
% 0.17/0.40 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.17/0.40 % project in the Department of Mathematical Sciences at Carnegie
% 0.17/0.40 % Mellon University. Distributed under the Creative Commons copyleft
% 0.17/0.40 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.17/0.40 % Bugfixes : v5.2.0 - Added missing type declarations.
% 0.17/0.40 % : v5.3.0 - Fixed tType to $tType from last bugfixes.
% 0.17/0.40 %------------------------------------------------------------------------------
% 0.17/0.40 thf(g_type,type,
% 0.17/0.40 g: $tType ).
% 0.17/0.40
% 0.17/0.40 thf(cGROUP1_type,type,
% 0.17/0.40 cGROUP1: ( g > g > g ) > g > $o ).
% 0.17/0.40
% 0.17/0.40 thf(cGROUP4_type,type,
% 0.17/0.40 cGROUP4: ( g > g > g ) > $o ).
% 0.17/0.40
% 0.17/0.40 thf(cGRP_ASSOC_type,type,
% 0.17/0.40 cGRP_ASSOC: ( g > g > g ) > $o ).
% 0.17/0.40
% 0.17/0.40 thf(cGRP_DIVISORS_type,type,
% 0.17/0.40 cGRP_DIVISORS: ( g > g > g ) > $o ).
% 0.17/0.40
% 0.17/0.40 thf(cGRP_INVERSE_type,type,
% 0.17/0.40 cGRP_INVERSE: ( g > g > g ) > g > $o ).
% 0.17/0.40
% 0.17/0.40 thf(cGRP_UNIT_type,type,
% 0.17/0.40 cGRP_UNIT: ( g > g > g ) > g > $o ).
% 0.17/0.40
% 0.17/0.40 thf(cGRP_ASSOC_def,definition,
% 0.17/0.40 ( cGRP_ASSOC
% 0.17/0.40 = ( ^ [Xf: g > g > g] :
% 0.17/0.40 ! [Xa: g,Xb: g,Xc: g] :
% 0.17/0.40 ( ( Xf @ ( Xf @ Xa @ Xb ) @ Xc )
% 0.17/0.40 = ( Xf @ Xa @ ( Xf @ Xb @ Xc ) ) ) ) ) ).
% 0.17/0.40
% 0.17/0.40 thf(cGRP_DIVISORS_def,definition,
% 0.17/0.40 ( cGRP_DIVISORS
% 0.17/0.40 = ( ^ [Xf: g > g > g] :
% 0.17/0.40 ! [Xa: g,Xb: g] :
% 0.17/0.40 ( ? [Xx: g] :
% 0.17/0.40 ( ( Xf @ Xa @ Xx )
% 0.17/0.40 = Xb )
% 0.17/0.40 & ? [Xy: g] :
% 0.17/0.40 ( ( Xf @ Xy @ Xa )
% 0.17/0.40 = Xb ) ) ) ) ).
% 0.17/0.40
% 0.17/0.40 thf(cGRP_INVERSE_def,definition,
% 0.17/0.40 ( cGRP_INVERSE
% 0.17/0.40 = ( ^ [Xf: g > g > g,Xe: g] :
% 0.17/0.40 ! [Xa: g] :
% 0.17/0.40 ? [Xb: g] :
% 0.17/0.40 ( ( ( Xf @ Xa @ Xb )
% 0.17/0.40 = Xe )
% 0.17/0.40 & ( ( Xf @ Xb @ Xa )
% 0.17/0.40 = Xe ) ) ) ) ).
% 0.17/0.40
% 0.17/0.40 thf(cGRP_UNIT_def,definition,
% 0.17/0.40 ( cGRP_UNIT
% 0.17/0.40 = ( ^ [Xf: g > g > g,Xe: g] :
% 0.17/0.40 ! [Xa: g] :
% 0.17/0.40 ( ( ( Xf @ Xe @ Xa )
% 0.17/0.40 = Xa )
% 0.17/0.40 & ( ( Xf @ Xa @ Xe )
% 0.17/0.40 = Xa ) ) ) ) ).
% 0.17/0.40
% 0.17/0.40 thf(cGROUP1_def,definition,
% 0.17/0.40 ( cGROUP1
% 0.17/0.40 = ( ^ [Xf: g > g > g,Xe: g] :
% 0.17/0.40 ( ( cGRP_ASSOC @ Xf )
% 0.17/0.40 & ( cGRP_UNIT @ Xf @ Xe )
% 0.17/0.40 & ( cGRP_INVERSE @ Xf @ Xe ) ) ) ) ).
% 0.17/0.40
% 0.17/0.40 thf(cGROUP4_def,definition,
% 0.17/0.40 ( cGROUP4
% 0.17/0.40 = ( ^ [Xf: g > g > g] :
% 0.17/0.40 ( ( cGRP_ASSOC @ Xf )
% 0.17/0.40 & ( cGRP_DIVISORS @ Xf ) ) ) ) ).
% 0.17/0.40
% 0.17/0.40 thf(cEQUIV_01_04,conjecture,
% 0.17/0.40 ! [Xf: g > g > g] :
% 0.17/0.40 ( ? [Xe: g] : ( cGROUP1 @ Xf @ Xe )
% 0.17/0.40 <=> ( cGROUP4 @ Xf ) ) ).
% 0.17/0.40
% 0.17/0.40 %------------------------------------------------------------------------------
% 0.17/0.40 ------------------------
% 1.72/1.42 ---- Embedded in THF ---
% 1.72/1.42 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.72/1.42 %%% Generated on Tue Feb 24 03:42:40 EST 2026
% 1.72/1.42 %%% using '$$dhol' embedding, version 1.3.0.
% 1.72/1.42 %%% Logic specification used:
% 1.72/1.42 %%% thf(spec, logic, $$dhol).
% 1.72/1.42
% 1.72/1.42 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.VLG6bBhH7f/DTF2DTF20481.p
% See solution above
% 1.72/1.42 ------------------------
% 1.72/1.43 ---- Cleaned THF ---
% 1.72/1.43 thf(g_type,type,
% 1.72/1.43 g: $tType ).
% 1.72/1.43
% 1.72/1.43 thf(cGROUP1_type,type,
% 1.72/1.43 cGROUP1: ( g > g > g ) > g > $o ).
% 1.72/1.43
% 1.72/1.43 thf(cGROUP4_type,type,
% 1.72/1.43 cGROUP4: ( g > g > g ) > $o ).
% 1.72/1.43
% 1.72/1.43 thf(cGRP_ASSOC_type,type,
% 1.72/1.43 cGRP_ASSOC: ( g > g > g ) > $o ).
% 1.72/1.43
% 1.72/1.43 thf(cGRP_DIVISORS_type,type,
% 1.72/1.43 cGRP_DIVISORS: ( g > g > g ) > $o ).
% 1.72/1.43
% 1.72/1.43 thf(cGRP_INVERSE_type,type,
% 1.72/1.43 cGRP_INVERSE: ( g > g > g ) > g > $o ).
% 1.72/1.43
% 1.72/1.43 thf(cGRP_UNIT_type,type,
% 1.72/1.43 cGRP_UNIT: ( g > g > g ) > g > $o ).
% 1.72/1.43
% 1.72/1.43 thf(cGRP_ASSOC_def,definition,
% 1.72/1.43 ( cGRP_ASSOC
% 1.72/1.43 = ( ^ [Xf: g > g > g] :
% 1.72/1.43 ! [Xa: g,Xb: g,Xc: g] :
% 1.72/1.43 ( ( Xf @ ( Xf @ Xa @ Xb ) @ Xc )
% 1.72/1.43 = ( Xf @ Xa @ ( Xf @ Xb @ Xc ) ) ) ) ) ).
% 1.72/1.43
% 1.72/1.43 thf(cGRP_DIVISORS_def,definition,
% 1.72/1.43 ( cGRP_DIVISORS
% 1.72/1.43 = ( ^ [Xf: g > g > g] :
% 1.72/1.43 ! [Xa: g,Xb: g] :
% 1.72/1.43 ( ? [Xx: g] :
% 1.72/1.43 ( ( Xf @ Xa @ Xx )
% 1.72/1.43 = Xb )
% 1.72/1.43 & ? [Xy: g] :
% 1.72/1.43 ( ( Xf @ Xy @ Xa )
% 1.72/1.43 = Xb ) ) ) ) ).
% 1.72/1.43
% 1.72/1.43 thf(cGRP_INVERSE_def,definition,
% 1.72/1.43 ( cGRP_INVERSE
% 1.72/1.43 = ( ^ [Xf: g > g > g,Xe: g] :
% 1.72/1.43 ! [Xa: g] :
% 1.72/1.43 ? [Xb: g] :
% 1.72/1.43 ( ( ( Xf @ Xa @ Xb )
% 1.72/1.43 = Xe )
% 1.72/1.43 & ( ( Xf @ Xb @ Xa )
% 1.72/1.43 = Xe ) ) ) ) ).
% 1.72/1.43
% 1.72/1.43 thf(cGRP_UNIT_def,definition,
% 1.72/1.43 ( cGRP_UNIT
% 1.72/1.43 = ( ^ [Xf: g > g > g,Xe: g] :
% 1.72/1.43 ! [Xa: g] :
% 1.72/1.43 ( ( ( Xf @ Xe @ Xa )
% 1.72/1.43 = Xa )
% 1.72/1.43 & ( ( Xf @ Xa @ Xe )
% 1.72/1.43 = Xa ) ) ) ) ).
% 1.72/1.43
% 1.72/1.43 thf(cGROUP1_def,definition,
% 1.72/1.43 ( cGROUP1
% 1.72/1.43 = ( ^ [Xf: g > g > g,Xe: g] :
% 1.72/1.43 ( ( cGRP_ASSOC @ Xf )
% 1.72/1.43 & ( cGRP_UNIT @ Xf @ Xe )
% 1.72/1.43 & ( cGRP_INVERSE @ Xf @ Xe ) ) ) ) ).
% 1.72/1.43
% 1.72/1.43 thf(cGROUP4_def,definition,
% 1.72/1.43 ( cGROUP4
% 1.72/1.43 = ( ^ [Xf: g > g > g] :
% 1.72/1.43 ( ( cGRP_ASSOC @ Xf )
% 1.72/1.43 & ( cGRP_DIVISORS @ Xf ) ) ) ) ).
% 1.72/1.43
% 1.72/1.43 thf(cEQUIV_01_04,conjecture,
% 1.72/1.43 ! [Xf: g > g > g] :
% 1.72/1.43 ( ? [Xe: g] : ( cGROUP1 @ Xf @ Xe )
% 1.72/1.43 <=> ( cGROUP4 @ Xf ) ) ).
% 1.72/1.43 ------------------------
% 1.72/1.45 % (20581)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_20481 for (2999ds/27Mi)
% 1.72/1.45 % (20579)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_20481 for (2999ds/183Mi)
% 1.72/1.45 % (20580)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_20481 for (2999ds/4Mi)
% 1.72/1.45 % (20585)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_20481 for (2999ds/18Mi)
% 1.72/1.45 % (20583)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_20481 for (2999ds/2Mi)
% 1.72/1.45 % (20584)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_20481 for (2999ds/275Mi)
% 1.72/1.45 % (20582)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_20481 for (2999ds/2Mi)
% 1.72/1.45 % (20583)Instruction limit reached!
% 1.72/1.45 % (20583)------------------------------
% 1.72/1.45 % (20583)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.45 % (20583)Termination reason: Unknown
% 1.72/1.45 % (20583)Termination phase: Property scanning
% 1.72/1.45
% 1.72/1.45 % (20583)Memory used [KB]: 1023
% 1.72/1.45 % (20583)Time elapsed: 0.003 s
% 1.72/1.45 % (20583)Instructions burned: 2 (million)
% 1.72/1.45 % (20583)------------------------------
% 1.72/1.45 % (20583)------------------------------
% 1.72/1.45 % (20580)Instruction limit reached!
% 1.72/1.45 % (20580)------------------------------
% 1.72/1.45 % (20580)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.45 % (20580)Termination reason: Unknown
% 1.72/1.45 % (20580)Termination phase: Property scanning
% 1.72/1.45
% 1.72/1.45 % (20580)Memory used [KB]: 1023
% 1.72/1.45 % (20580)Time elapsed: 0.004 s
% 1.72/1.45 % (20580)Instructions burned: 4 (million)
% 1.72/1.45 % (20580)------------------------------
% 1.72/1.45 % (20580)------------------------------
% 1.72/1.46 % (20582)Instruction limit reached!
% 1.72/1.46 % (20582)------------------------------
% 1.72/1.46 % (20582)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.46 % (20582)Termination reason: Unknown
% 1.72/1.46 % (20582)Termination phase: Preprocessing 3
% 1.72/1.46
% 1.72/1.46 % (20582)Memory used [KB]: 1023
% 1.72/1.46 % (20582)Time elapsed: 0.003 s
% 1.72/1.46 % (20582)Instructions burned: 2 (million)
% 1.72/1.46 % (20582)------------------------------
% 1.72/1.46 % (20582)------------------------------
% 1.72/1.46 % (20585)Instruction limit reached!
% 1.72/1.46 % (20585)------------------------------
% 1.72/1.46 % (20585)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.46 % (20585)Termination reason: Unknown
% 1.72/1.46 % (20585)Termination phase: Saturation
% 1.72/1.46
% 1.72/1.46 % (20585)Memory used [KB]: 5500
% 1.72/1.46 % (20585)Time elapsed: 0.011 s
% 1.72/1.46 % (20585)Instructions burned: 20 (million)
% 1.72/1.46 % (20585)------------------------------
% 1.72/1.46 % (20585)------------------------------
% 1.72/1.47 % (20581)Instruction limit reached!
% 1.72/1.47 % (20581)------------------------------
% 1.72/1.47 % (20581)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.47 % (20581)Termination reason: Unknown
% 1.72/1.47 % (20581)Termination phase: Saturation
% 1.72/1.47
% 1.72/1.47 % (20581)Memory used [KB]: 5756
% 1.72/1.47 % (20581)Time elapsed: 0.016 s
% 1.72/1.47 % (20581)Instructions burned: 28 (million)
% 1.72/1.47 % (20581)------------------------------
% 1.72/1.47 % (20581)------------------------------
% 1.72/1.47 % (20586)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_20481 for (2999ds/3Mi)
% 1.72/1.47 % (20587)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_20481 for (2999ds/37Mi)
% 1.72/1.47 % (20588)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_20481 for (2999ds/15Mi)
% 1.72/1.47 % (20586)Instruction limit reached!
% 1.72/1.47 % (20586)------------------------------
% 1.72/1.47 % (20586)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.47 % (20586)Termination reason: Unknown
% 1.72/1.47 % (20586)Termination phase: Property scanning
% 1.72/1.47
% 1.72/1.47 % (20586)Memory used [KB]: 1023
% 1.72/1.47 % (20586)Time elapsed: 0.003 s
% 1.72/1.47 % (20586)Instructions burned: 3 (million)
% 1.72/1.47 % (20586)------------------------------
% 1.72/1.47 % (20586)------------------------------
% 1.72/1.48 % (20588)Instruction limit reached!
% 1.72/1.48 % (20588)------------------------------
% 1.72/1.48 % (20588)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.48 % (20588)Termination reason: Unknown
% 1.72/1.48 % (20588)Termination phase: Saturation
% 1.72/1.48
% 1.72/1.48 % (20588)Memory used [KB]: 5500
% 1.72/1.48 % (20588)Time elapsed: 0.009 s
% 1.72/1.48 % (20588)Instructions burned: 16 (million)
% 1.72/1.48 % (20588)------------------------------
% 1.72/1.48 % (20588)------------------------------
% 1.72/1.48 % (20589)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_20481 for (2999ds/3Mi)
% 1.72/1.48 % (20589)Instruction limit reached!
% 1.72/1.48 % (20589)------------------------------
% 1.72/1.48 % (20589)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.48 % (20589)Termination reason: Unknown
% 1.72/1.48 % (20589)Termination phase: Property scanning
% 1.72/1.48
% 1.72/1.48 % (20589)Memory used [KB]: 1023
% 1.72/1.48 % (20589)Time elapsed: 0.004 s
% 1.72/1.48 % (20589)Instructions burned: 4 (million)
% 1.72/1.48 % (20589)------------------------------
% 1.72/1.48 % (20589)------------------------------
% 1.72/1.48 % (20590)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_20481 for (2999ds/1041Mi)
% 1.72/1.49 % (20591)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_20481 for (2999ds/7Mi)
% 1.72/1.49 % (20587)Instruction limit reached!
% 1.72/1.49 % (20587)------------------------------
% 1.72/1.49 % (20587)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.49 % (20587)Termination reason: Unknown
% 1.72/1.49 % (20587)Termination phase: Saturation
% 1.72/1.49
% 1.72/1.49 % (20587)Memory used [KB]: 5628
% 1.72/1.49 % (20587)Time elapsed: 0.020 s
% 1.72/1.49 % (20587)Instructions burned: 38 (million)
% 1.72/1.49 % (20587)------------------------------
% 1.72/1.49 % (20587)------------------------------
% 1.72/1.49 % (20591)Instruction limit reached!
% 1.72/1.49 % (20591)------------------------------
% 1.72/1.49 % (20591)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.49 % (20591)Termination reason: Unknown
% 1.72/1.49 % (20591)Termination phase: Saturation
% 1.72/1.49
% 1.72/1.49 % (20591)Memory used [KB]: 1023
% 1.72/1.49 % (20591)Time elapsed: 0.005 s
% 1.72/1.49 % (20591)Instructions burned: 7 (million)
% 1.72/1.49 % (20591)------------------------------
% 1.72/1.49 % (20591)------------------------------
% 1.72/1.49 % (20592)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_20481 for (2999ds/16Mi)
% 1.76/1.50 % (20593)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_20481 for (2999ds/3Mi)
% 1.76/1.50 % (20593)Instruction limit reached!
% 1.76/1.50 % (20593)------------------------------
% 1.76/1.50 % (20593)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.50 % (20593)Termination reason: Unknown
% 1.76/1.50 % (20593)Termination phase: Property scanning
% 1.76/1.50
% 1.76/1.50 % (20593)Memory used [KB]: 1023
% 1.76/1.50 % (20593)Time elapsed: 0.003 s
% 1.76/1.50 % (20593)Instructions burned: 3 (million)
% 1.76/1.50 % (20593)------------------------------
% 1.76/1.50 % (20593)------------------------------
% 1.76/1.50 % (20592)Instruction limit reached!
% 1.76/1.50 % (20592)------------------------------
% 1.76/1.50 % (20592)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.50 % (20592)Termination reason: Unknown
% 1.76/1.50 % (20592)Termination phase: Saturation
% 1.76/1.50
% 1.76/1.50 % (20592)Memory used [KB]: 5756
% 1.76/1.50 % (20592)Time elapsed: 0.011 s
% 1.76/1.50 % (20592)Instructions burned: 17 (million)
% 1.76/1.50 % (20592)------------------------------
% 1.76/1.50 % (20592)------------------------------
% 1.76/1.51 % (20594)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_20481 for (2999ds/3Mi)
% 1.76/1.51 % (20594)Instruction limit reached!
% 1.76/1.51 % (20594)------------------------------
% 1.76/1.51 % (20594)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.51 % (20594)Termination reason: Unknown
% 1.76/1.51 % (20594)Termination phase: Property scanning
% 1.76/1.51
% 1.76/1.51 % (20594)Memory used [KB]: 1023
% 1.76/1.51 % (20594)Time elapsed: 0.004 s
% 1.76/1.51 % (20594)Instructions burned: 4 (million)
% 1.76/1.51 % (20594)------------------------------
% 1.76/1.51 % (20594)------------------------------
% 1.76/1.51 % (20595)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_20481 for (2999ds/7Mi)
% 1.76/1.51 % (20595)Instruction limit reached!
% 1.76/1.51 % (20595)------------------------------
% 1.76/1.51 % (20595)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.51 % (20595)Termination reason: Unknown
% 1.76/1.51 % (20595)Termination phase: Saturation
% 1.76/1.51
% 1.76/1.51 % (20595)Memory used [KB]: 5500
% 1.76/1.51 % (20595)Time elapsed: 0.005 s
% 1.76/1.51 % (20595)Instructions burned: 7 (million)
% 1.76/1.51 % (20595)------------------------------
% 1.76/1.51 % (20595)------------------------------
% 1.76/1.51 % (20596)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_20481 for (2999ds/3Mi)
% 1.76/1.52 % (20596)Instruction limit reached!
% 1.76/1.52 % (20596)------------------------------
% 1.76/1.52 % (20596)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.52 % (20596)Termination reason: Unknown
% 1.76/1.52 % (20596)Termination phase: Function definition elimination
% 1.76/1.52
% 1.76/1.52 % (20596)Memory used [KB]: 1023
% 1.76/1.52 % (20596)Time elapsed: 0.003 s
% 1.76/1.52 % (20596)Instructions burned: 3 (million)
% 1.76/1.52 % (20596)------------------------------
% 1.76/1.52 % (20596)------------------------------
% 1.76/1.52 % (20597)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_20481 for (2999ds/4Mi)
% 1.76/1.52 % (20597)Instruction limit reached!
% 1.76/1.52 % (20597)------------------------------
% 1.76/1.52 % (20597)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.52 % (20597)Termination reason: Unknown
% 1.76/1.52 % (20597)Termination phase: Property scanning
% 1.76/1.52
% 1.76/1.52 % (20597)Memory used [KB]: 1023
% 1.76/1.52 % (20597)Time elapsed: 0.004 s
% 1.76/1.52 % (20597)Instructions burned: 4 (million)
% 1.76/1.52 % (20597)------------------------------
% 1.76/1.52 % (20597)------------------------------
% 1.76/1.52 % (20598)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_20481 for (2999ds/18Mi)
% 1.76/1.53 % (20599)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_20481 for (2999ds/710Mi)
% 1.76/1.53 % (20600)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_20481 for (2999ds/6Mi)
% 1.76/1.53 % (20598)Instruction limit reached!
% 1.76/1.53 % (20598)------------------------------
% 1.76/1.53 % (20598)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.53 % (20598)Termination reason: Unknown
% 1.76/1.53 % (20598)Termination phase: Saturation
% 1.76/1.53
% 1.76/1.53 % (20598)Memory used [KB]: 5628
% 1.76/1.53 % (20598)Time elapsed: 0.012 s
% 1.76/1.53 % (20598)Instructions burned: 19 (million)
% 1.76/1.53 % (20598)------------------------------
% 1.76/1.53 % (20598)------------------------------
% 1.76/1.54 % (20600)Instruction limit reached!
% 1.76/1.54 % (20600)------------------------------
% 1.76/1.54 % (20600)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.54 % (20600)Termination reason: Unknown
% 1.76/1.54 % (20600)Termination phase: Saturation
% 1.76/1.54
% 1.76/1.54 % (20600)Memory used [KB]: 5500
% 1.76/1.54 % (20600)Time elapsed: 0.005 s
% 1.76/1.54 % (20600)Instructions burned: 7 (million)
% 1.76/1.54 % (20600)------------------------------
% 1.76/1.54 % (20600)------------------------------
% 1.76/1.54 % (20601)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_20481 for (2999ds/902Mi)
% 1.76/1.54 % (20601)Refutation not found, incomplete strategy
% 1.76/1.54 % (20601)------------------------------
% 1.76/1.54 % (20601)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.54 % (20601)Termination reason: Refutation not found, incomplete strategy
% 1.76/1.54
% 1.76/1.54
% 1.76/1.54 % (20601)Memory used [KB]: 5500
% 1.76/1.54 % (20601)Time elapsed: 0.004 s
% 1.76/1.54 % (20601)Instructions burned: 3 (million)
% 1.76/1.54 % (20601)------------------------------
% 1.76/1.54 % (20601)------------------------------
% 1.76/1.54 % (20579)Instruction limit reached!
% 1.76/1.54 % (20579)------------------------------
% 1.76/1.54 % (20579)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.54 % (20579)Termination reason: Unknown
% 1.76/1.54 % (20579)Termination phase: Saturation
% 1.76/1.54
% 1.76/1.54 % (20579)Memory used [KB]: 6652
% 1.76/1.54 % (20579)Time elapsed: 0.094 s
% 1.76/1.54 % (20579)Instructions burned: 184 (million)
% 1.76/1.54 % (20579)------------------------------
% 1.76/1.54 % (20579)------------------------------
% 1.76/1.55 % (20602)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_20481 for (2999ds/21Mi)
% 1.76/1.55 % (20603)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_20481 for (2999ds/5Mi)
% 1.76/1.55 % (20603)Instruction limit reached!
% 1.76/1.55 % (20603)------------------------------
% 1.76/1.55 % (20603)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.55 % (20603)Termination reason: Unknown
% 1.76/1.55 % (20603)Termination phase: Saturation
% 1.76/1.55
% 1.76/1.55 % (20603)Memory used [KB]: 5500
% 1.76/1.55 % (20603)Time elapsed: 0.004 s
% 1.76/1.55 % (20603)Instructions burned: 5 (million)
% 1.76/1.55 % (20603)------------------------------
% 1.76/1.55 % (20603)------------------------------
% 1.76/1.56 % (20604)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_20481 for (2999ds/6Mi)
% 1.76/1.56 % (20605)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_20481 for (2999ds/377Mi)
% 1.76/1.56 % (20602)Instruction limit reached!
% 1.76/1.56 % (20602)------------------------------
% 1.76/1.56 % (20602)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.56 % (20602)Termination reason: Unknown
% 1.76/1.56 % (20602)Termination phase: Saturation
% 1.76/1.56
% 1.76/1.56 % (20602)Memory used [KB]: 5628
% 1.76/1.56 % (20602)Time elapsed: 0.014 s
% 1.76/1.56 % (20602)Instructions burned: 21 (million)
% 1.76/1.56 % (20602)------------------------------
% 1.76/1.56 % (20602)------------------------------
% 1.76/1.57 % (20604)Instruction limit reached!
% 1.76/1.57 % (20604)------------------------------
% 1.76/1.57 % (20604)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.57 % (20604)Termination reason: Unknown
% 1.76/1.57 % (20604)Termination phase: Saturation
% 1.76/1.57
% 1.76/1.57 % (20604)Memory used [KB]: 5500
% 1.76/1.57 % (20604)Time elapsed: 0.005 s
% 1.76/1.57 % (20604)Instructions burned: 6 (million)
% 1.76/1.57 % (20604)------------------------------
% 1.76/1.57 % (20604)------------------------------
% 1.76/1.57 % (20606)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_20481 for (2998ds/779Mi)
% 1.76/1.58 % (20607)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_20481 for (2998ds/19Mi)
% 1.76/1.58 % (20608)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_20481 for (2998ds/879Mi)
% 1.76/1.59 % (20607)Instruction limit reached!
% 1.76/1.59 % (20607)------------------------------
% 1.76/1.59 % (20607)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.59 % (20607)Termination reason: Unknown
% 1.76/1.59 % (20607)Termination phase: Saturation
% 1.76/1.59
% 1.76/1.59 % (20607)Memory used [KB]: 5500
% 1.76/1.59 % (20607)Time elapsed: 0.032 s
% 1.76/1.59 % (20607)Instructions burned: 19 (million)
% 1.76/1.59 % (20607)------------------------------
% 1.76/1.59 % (20607)------------------------------
% 1.76/1.60 % (20584)Instruction limit reached!
% 1.76/1.60 % (20584)------------------------------
% 1.76/1.60 % (20584)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.60 % (20584)Termination reason: Unknown
% 1.76/1.60 % (20584)Termination phase: Saturation
% 1.76/1.60
% 1.76/1.60 % (20584)Memory used [KB]: 6524
% 1.76/1.60 % (20584)Time elapsed: 0.148 s
% 1.76/1.60 % (20584)Instructions burned: 276 (million)
% 1.76/1.60 % (20584)------------------------------
% 1.76/1.60 % (20584)------------------------------
% 1.76/1.61 % (20609)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_20481 for (2998ds/17Mi)
% 1.76/1.61 % (20609)Instruction limit reached!
% 1.76/1.61 % (20609)------------------------------
% 1.76/1.61 % (20609)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.61 % (20609)Termination reason: Unknown
% 1.76/1.61 % (20609)Termination phase: Saturation
% 1.76/1.61
% 1.76/1.61 % (20609)Memory used [KB]: 5628
% 1.76/1.61 % (20609)Time elapsed: 0.010 s
% 1.76/1.61 % (20609)Instructions burned: 18 (million)
% 1.76/1.61 % (20609)------------------------------
% 1.76/1.61 % (20609)------------------------------
% 1.76/1.62 % (20610)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_20481 for (2998ds/3Mi)
% 1.76/1.62 % (20610)Instruction limit reached!
% 1.76/1.62 % (20610)------------------------------
% 1.76/1.62 % (20610)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.62 % (20610)Termination reason: Unknown
% 1.76/1.62 % (20610)Termination phase: Property scanning
% 1.76/1.62
% 1.76/1.62 % (20610)Memory used [KB]: 1023
% 1.76/1.62 % (20610)Time elapsed: 0.003 s
% 1.76/1.62 % (20610)Instructions burned: 3 (million)
% 1.76/1.62 % (20610)------------------------------
% 1.76/1.62 % (20610)------------------------------
% 1.76/1.63 % (20612)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_20481 for (2998ds/30Mi)
% 1.76/1.64 % (20613)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_20481 for (2998ds/127Mi)
% 1.76/1.64 % (20612)Refutation not found, incomplete strategy
% 1.76/1.64 % (20612)------------------------------
% 1.76/1.64 % (20612)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.64 % (20612)Termination reason: Refutation not found, incomplete strategy
% 1.76/1.64
% 1.76/1.64
% 1.76/1.64 % (20612)Memory used [KB]: 5500
% 1.76/1.64 % (20612)Time elapsed: 0.008 s
% 1.76/1.64 % (20612)Instructions burned: 11 (million)
% 1.76/1.64 % (20612)------------------------------
% 1.76/1.64 % (20612)------------------------------
% 1.76/1.66 % (20614)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_20481 for (2998ds/100Mi)
% 1.76/1.70 % (20613)Instruction limit reached!
% 1.76/1.70 % (20613)------------------------------
% 1.76/1.70 % (20613)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.70 % (20613)Termination reason: Unknown
% 1.76/1.70 % (20613)Termination phase: Saturation
% 1.76/1.70
% 1.76/1.70 % (20613)Memory used [KB]: 6012
% 1.76/1.70 % (20613)Time elapsed: 0.091 s
% 1.76/1.70 % (20613)Instructions burned: 127 (million)
% 1.76/1.70 % (20613)------------------------------
% 1.76/1.70 % (20613)------------------------------
% 1.76/1.71 % (20614)Instruction limit reached!
% 1.76/1.71 % (20614)------------------------------
% 1.76/1.71 % (20614)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.71 % (20614)Termination reason: Unknown
% 1.76/1.71 % (20614)Termination phase: Saturation
% 1.76/1.71
% 1.76/1.71 % (20614)Memory used [KB]: 6012
% 1.76/1.71 % (20614)Time elapsed: 0.082 s
% 1.76/1.71 % (20614)Instructions burned: 101 (million)
% 1.76/1.71 % (20614)------------------------------
% 1.76/1.71 % (20614)------------------------------
% 1.76/1.72 % (20615)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_20481 for (2997ds/3Mi)
% 1.76/1.72 % (20615)Instruction limit reached!
% 1.76/1.72 % (20615)------------------------------
% 1.76/1.72 % (20615)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.72 % (20615)Termination reason: Unknown
% 1.76/1.72 % (20615)Termination phase: Property scanning
% 1.76/1.72
% 1.76/1.72 % (20615)Memory used [KB]: 1023
% 1.76/1.72 % (20615)Time elapsed: 0.003 s
% 1.76/1.72 % (20615)Instructions burned: 3 (million)
% 1.76/1.72 % (20615)------------------------------
% 1.76/1.72 % (20615)------------------------------
% 1.76/1.73 % (20616)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_20481 for (2997ds/20Mi)
% 1.76/1.74 % (20617)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_20481 for (2997ds/86Mi)
% 1.76/1.74 % (20616)Instruction limit reached!
% 1.76/1.74 % (20616)------------------------------
% 1.76/1.74 % (20616)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.74 % (20616)Termination reason: Unknown
% 1.76/1.74 % (20616)Termination phase: Saturation
% 1.76/1.74
% 1.76/1.74 % (20616)Memory used [KB]: 5628
% 1.76/1.74 % (20616)Time elapsed: 0.013 s
% 1.76/1.74 % (20616)Instructions burned: 20 (million)
% 1.76/1.74 % (20616)------------------------------
% 1.76/1.74 % (20616)------------------------------
% 1.76/1.75 % (20605)Refutation not found, non-redundant clauses discarded% (20605)------------------------------
% 1.76/1.75 % (20605)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.75 % (20605)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.76/1.75
% 1.76/1.75 % (20605)Memory used [KB]: 7164
% 1.76/1.75 % (20605)Time elapsed: 0.192 s
% 1.76/1.75 % (20605)Instructions burned: 374 (million)
% 1.76/1.75 % (20605)------------------------------
% 1.76/1.75 % (20605)------------------------------
% 1.76/1.76 % (20618)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_20481 for (2996ds/107Mi)
% 1.76/1.77 % (20619)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_20481 for (2996ds/39Mi)
% 1.76/1.79 % (20617)Instruction limit reached!
% 1.76/1.79 % (20617)------------------------------
% 1.76/1.79 % (20617)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.79 % (20617)Termination reason: Unknown
% 1.76/1.79 % (20617)Termination phase: Saturation
% 1.76/1.79
% 1.76/1.79 % (20617)Memory used [KB]: 6140
% 1.76/1.79 % (20617)Time elapsed: 0.049 s
% 1.76/1.79 % (20617)Instructions burned: 87 (million)
% 1.76/1.79 % (20617)------------------------------
% 1.76/1.79 % (20617)------------------------------
% 1.76/1.79 % (20619)Instruction limit reached!
% 1.76/1.79 % (20619)------------------------------
% 1.76/1.79 % (20619)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.79 % (20619)Termination reason: Unknown
% 1.76/1.79 % (20619)Termination phase: Saturation
% 1.76/1.79
% 1.76/1.79 % (20619)Memory used [KB]: 5756
% 1.76/1.79 % (20619)Time elapsed: 0.022 s
% 1.76/1.79 % (20619)Instructions burned: 40 (million)
% 1.76/1.79 % (20619)------------------------------
% 1.76/1.79 % (20619)------------------------------
% 1.76/1.81 % (20620)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_20481 for (2996ds/448Mi)
% 1.76/1.81 % (20621)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_20481 for (2996ds/46Mi)
% 1.76/1.82 % (20618)Instruction limit reached!
% 1.76/1.82 % (20618)------------------------------
% 1.76/1.82 % (20618)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.82 % (20618)Termination reason: Unknown
% 1.76/1.82 % (20618)Termination phase: Saturation
% 1.76/1.82
% 1.76/1.82 % (20618)Memory used [KB]: 6012
% 1.76/1.82 % (20618)Time elapsed: 0.057 s
% 1.76/1.82 % (20618)Instructions burned: 107 (million)
% 1.76/1.82 % (20618)------------------------------
% 1.76/1.82 % (20618)------------------------------
% 1.76/1.83 % (20621)Instruction limit reached!
% 1.76/1.83 % (20621)------------------------------
% 1.76/1.83 % (20621)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.83 % (20621)Termination reason: Unknown
% 1.76/1.83 % (20621)Termination phase: Saturation
% 1.76/1.83
% 1.76/1.83 % (20621)Memory used [KB]: 5756
% 1.76/1.83 % (20621)Time elapsed: 0.027 s
% 1.76/1.83 % (20621)Instructions burned: 46 (million)
% 1.76/1.83 % (20621)------------------------------
% 1.76/1.83 % (20621)------------------------------
% 1.76/1.83 % (20622)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_20481 for (2996ds/98Mi)
% 1.76/1.85 % (20623)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_20481 for (2996ds/507Mi)
% 1.76/1.88 % (20599)Instruction limit reached!
% 1.76/1.88 % (20599)------------------------------
% 1.76/1.88 % (20599)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.88 % (20599)Termination reason: Unknown
% 1.76/1.88 % (20599)Termination phase: Saturation
% 1.76/1.88
% 1.76/1.88 % (20599)Memory used [KB]: 7291
% 1.76/1.88 % (20599)Time elapsed: 0.353 s
% 1.76/1.88 % (20599)Instructions burned: 711 (million)
% 1.76/1.88 % (20599)------------------------------
% 1.76/1.88 % (20599)------------------------------
% 1.76/1.88 % (20622)Instruction limit reached!
% 1.76/1.88 % (20622)------------------------------
% 1.76/1.88 % (20622)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.88 % (20622)Termination reason: Unknown
% 1.76/1.88 % (20622)Termination phase: Saturation
% 1.76/1.88
% 1.76/1.88 % (20622)Memory used [KB]: 1407
% 1.76/1.88 % (20622)Time elapsed: 0.052 s
% 1.76/1.88 % (20622)Instructions burned: 99 (million)
% 1.76/1.88 % (20622)------------------------------
% 1.76/1.88 % (20622)------------------------------
% 1.76/1.90 % (20624)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_20481 for (2995ds/149Mi)
% 1.76/1.90 % (20625)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_20481 for (2995ds/39Mi)
% 1.76/1.92 % (20625)Instruction limit reached!
% 1.76/1.92 % (20625)------------------------------
% 1.76/1.92 % (20625)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.92 % (20625)Termination reason: Unknown
% 1.76/1.92 % (20625)Termination phase: Saturation
% 1.76/1.92
% 1.76/1.92 % (20625)Memory used [KB]: 5756
% 1.76/1.92 % (20625)Time elapsed: 0.022 s
% 1.76/1.92 % (20625)Instructions burned: 39 (million)
% 1.76/1.92 % (20625)------------------------------
% 1.76/1.92 % (20625)------------------------------
% 1.76/1.94 % (20626)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_20481 for (2995ds/6Mi)
% 1.76/1.94 % (20626)Instruction limit reached!
% 1.76/1.94 % (20626)------------------------------
% 1.76/1.94 % (20626)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.94 % (20626)Termination reason: Unknown
% 1.76/1.94 % (20626)Termination phase: Saturation
% 1.76/1.94
% 1.76/1.94 % (20626)Memory used [KB]: 9978
% 1.76/1.94 % (20626)Time elapsed: 0.006 s
% 1.76/1.94 % (20626)Instructions burned: 6 (million)
% 1.76/1.94 % (20626)------------------------------
% 1.76/1.94 % (20626)------------------------------
% 1.76/1.94 % (20606)Instruction limit reached!
% 1.76/1.94 % (20606)------------------------------
% 1.76/1.94 % (20606)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.94 % (20606)Termination reason: Unknown
% 1.76/1.94 % (20606)Termination phase: Saturation
% 1.76/1.94
% 1.76/1.94 % (20606)Memory used [KB]: 7547
% 1.76/1.94 % (20606)Time elapsed: 0.375 s
% 1.76/1.94 % (20606)Instructions burned: 780 (million)
% 1.76/1.94 % (20606)------------------------------
% 1.76/1.94 % (20606)------------------------------
% 1.76/1.96 % (20627)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_20481 for (2994ds/1087Mi)
% 1.76/1.96 % (20628)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_20481 for (2994ds/47Mi)
% 1.76/1.97 % (20624)Instruction limit reached!
% 1.76/1.97 % (20624)------------------------------
% 1.76/1.97 % (20624)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.97 % (20624)Termination reason: Unknown
% 1.76/1.97 % (20624)Termination phase: Saturation
% 1.76/1.97
% 1.76/1.97 % (20624)Memory used [KB]: 6012
% 1.76/1.97 % (20624)Time elapsed: 0.078 s
% 1.76/1.97 % (20624)Instructions burned: 149 (million)
% 1.76/1.97 % (20624)------------------------------
% 1.76/1.97 % (20624)------------------------------
% 1.76/1.98 % (20628)Instruction limit reached!
% 1.76/1.98 % (20628)------------------------------
% 1.76/1.98 % (20628)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.98 % (20628)Termination reason: Unknown
% 1.76/1.98 % (20628)Termination phase: Saturation
% 1.76/1.98
% 1.76/1.98 % (20628)Memory used [KB]: 5628
% 1.76/1.98 % (20628)Time elapsed: 0.023 s
% 1.76/1.98 % (20628)Instructions burned: 47 (million)
% 1.76/1.98 % (20628)------------------------------
% 1.76/1.98 % (20628)------------------------------
% 1.76/1.98 % (20590)Instruction limit reached!
% 1.76/1.98 % (20590)------------------------------
% 1.76/1.98 % (20590)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.98 % (20590)Termination reason: Unknown
% 1.76/1.98 % (20590)Termination phase: Saturation
% 1.76/1.98
% 1.76/1.98 % (20590)Memory used [KB]: 8955
% 1.76/1.98 % (20590)Time elapsed: 0.503 s
% 1.76/1.98 % (20590)Instructions burned: 1041 (million)
% 1.76/1.98 % (20590)------------------------------
% 1.76/1.98 % (20590)------------------------------
% 1.76/1.99 % (20629)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_20481 for (2994ds/44Mi)
% 1.76/2.00 % (20630)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_20481 for (2994ds/432Mi)
% 1.76/2.00 % (20631)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_20481 for (2994ds/62Mi)
% 1.76/2.01 % (20629)Instruction limit reached!
% 1.76/2.01 % (20629)------------------------------
% 1.76/2.01 % (20629)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/2.01 % (20629)Termination reason: Unknown
% 1.76/2.01 % (20629)Termination phase: Saturation
% 1.76/2.01
% 1.76/2.01 % (20629)Memory used [KB]: 1279
% 1.76/2.01 % (20629)Time elapsed: 0.023 s
% 1.76/2.01 % (20629)Instructions burned: 45 (million)
% 1.76/2.01 % (20629)------------------------------
% 1.76/2.01 % (20629)------------------------------
% 5.82/2.03 % (20632)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_20481 for (2994ds/31Mi)
% 5.82/2.04 % (20620)Instruction limit reached!
% 5.82/2.04 % (20620)------------------------------
% 5.82/2.04 % (20620)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.82/2.04 % (20620)Termination reason: Unknown
% 5.82/2.04 % (20620)Termination phase: Saturation
% 5.82/2.04
% 5.82/2.04 % (20620)Memory used [KB]: 7164
% 5.82/2.04 % (20620)Time elapsed: 0.231 s
% 5.82/2.04 % (20620)Instructions burned: 448 (million)
% 5.82/2.04 % (20620)------------------------------
% 5.82/2.04 % (20620)------------------------------
% 5.82/2.04 % (20631)Instruction limit reached!
% 5.82/2.04 % (20631)------------------------------
% 5.82/2.04 % (20631)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.82/2.04 % (20631)Termination reason: Unknown
% 5.82/2.04 % (20631)Termination phase: Saturation
% 5.82/2.04
% 5.82/2.04 % (20631)Memory used [KB]: 5756
% 5.82/2.04 % (20631)Time elapsed: 0.035 s
% 5.82/2.04 % (20631)Instructions burned: 62 (million)
% 5.82/2.04 % (20631)------------------------------
% 5.82/2.04 % (20631)------------------------------
% 5.82/2.04 % (20608)Refutation not found, non-redundant clauses discarded% (20608)------------------------------
% 5.82/2.04 % (20608)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.82/2.04 % (20608)Termination reason: Refutation not found, non-redundant clauses discarded
% 5.82/2.04
% 5.82/2.04 % (20608)Memory used [KB]: 7547
% 5.82/2.04 % (20608)Time elapsed: 0.484 s
% 5.82/2.04 % (20608)Instructions burned: 868 (million)
% 5.82/2.04 % (20608)------------------------------
% 5.82/2.04 % (20608)------------------------------
% 5.82/2.05 % (20632)Instruction limit reached!
% 5.82/2.05 % (20632)------------------------------
% 5.82/2.05 % (20632)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.82/2.05 % (20632)Termination reason: Unknown
% 5.82/2.05 % (20632)Termination phase: Saturation
% 5.82/2.05
% 5.82/2.05 % (20632)Memory used [KB]: 5756
% 5.82/2.05 % (20632)Time elapsed: 0.018 s
% 5.82/2.05 % (20632)Instructions burned: 32 (million)
% 5.82/2.05 % (20632)------------------------------
% 5.82/2.05 % (20632)------------------------------
% 5.82/2.05 % (20633)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_20481 for (2994ds/96Mi)
% 5.82/2.06 % (20634)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_20481 for (2994ds/453Mi)
% 5.82/2.06 % (20635)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_20481 for (2994ds/71Mi)
% 5.82/2.07 % (20636)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_20481 for (2993ds/83Mi)
% 5.82/2.10 % (20635)Instruction limit reached!
% 5.82/2.10 % (20635)------------------------------
% 5.82/2.10 % (20635)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.82/2.10 % (20635)Termination reason: Unknown
% 5.82/2.10 % (20635)Termination phase: Saturation
% 5.82/2.10
% 5.82/2.10 % (20635)Memory used [KB]: 5756
% 5.82/2.10 % (20635)Time elapsed: 0.037 s
% 5.82/2.10 % (20635)Instructions burned: 71 (million)
% 5.82/2.10 % (20635)------------------------------
% 5.82/2.10 % (20635)------------------------------
% 5.82/2.10 % (20623)Instruction limit reached!
% 5.82/2.10 % (20623)------------------------------
% 5.82/2.10 % (20623)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.82/2.10 % (20623)Termination reason: Unknown
% 5.82/2.10 % (20623)Termination phase: Saturation
% 5.82/2.10
% 5.82/2.10 % (20623)Memory used [KB]: 6908
% 5.82/2.10 % (20623)Time elapsed: 0.253 s
% 5.82/2.10 % (20623)Instructions burned: 508 (million)
% 5.82/2.10 % (20623)------------------------------
% 5.82/2.10 % (20623)------------------------------
% 5.82/2.11 % (20633)Instruction limit reached!
% 5.82/2.11 % (20633)------------------------------
% 5.82/2.11 % (20633)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.82/2.11 % (20633)Termination reason: Unknown
% 5.82/2.11 % (20633)Termination phase: Saturation
% 5.82/2.11
% 5.82/2.11 % (20633)Memory used [KB]: 6012
% 5.82/2.11 % (20633)Time elapsed: 0.054 s
% 5.82/2.11 % (20633)Instructions burned: 97 (million)
% 5.82/2.11 % (20633)------------------------------
% 5.82/2.11 % (20633)------------------------------
% 5.82/2.11 % (20636)Instruction limit reached!
% 5.82/2.11 % (20636)------------------------------
% 5.82/2.11 % (20636)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.82/2.11 % (20636)Termination reason: Unknown
% 5.82/2.11 % (20636)Termination phase: Saturation
% 5.82/2.11
% 5.82/2.11 % (20636)Memory used [KB]: 5884
% 5.82/2.11 % (20636)Time elapsed: 0.046 s
% 5.82/2.11 % (20636)Instructions burned: 83 (million)
% 5.82/2.11 % (20636)------------------------------
% 5.82/2.11 % (20636)------------------------------
% 5.82/2.12 % (20637)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_20481 for (2993ds/11Mi)
% 5.82/2.12 % (20637)Refutation not found, incomplete strategy
% 5.82/2.12 % (20637)------------------------------
% 5.82/2.12 % (20637)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.82/2.12 % (20637)Termination reason: Refutation not found, incomplete strategy
% 5.82/2.12
% 5.82/2.12
% 5.82/2.12 % (20637)Memory used [KB]: 5500
% 5.82/2.12 % (20637)Time elapsed: 0.005 s
% 5.82/2.12 % (20637)Instructions burned: 6 (million)
% 5.82/2.12 % (20637)------------------------------
% 5.82/2.12 % (20637)------------------------------
% 5.82/2.12 % (20638)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_20481 for (2993ds/41Mi)
% 5.82/2.12 % (20638)Refutation not found, incomplete strategy
% 5.82/2.12 % (20638)------------------------------
% 5.82/2.12 % (20638)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.82/2.12 % (20638)Termination reason: Refutation not found, incomplete strategy
% 5.82/2.12
% 5.82/2.12
% 5.82/2.12 % (20638)Memory used [KB]: 5500
% 5.82/2.12 % (20638)Time elapsed: 0.005 s
% 5.82/2.12 % (20638)Instructions burned: 6 (million)
% 5.82/2.12 % (20638)------------------------------
% 5.82/2.12 % (20638)------------------------------
% 5.82/2.12 % (20639)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_20481 for (2993ds/6Mi)
% 6.43/2.13 % (20639)Instruction limit reached!
% 6.43/2.13 % (20639)------------------------------
% 6.43/2.13 % (20639)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.43/2.13 % (20639)Termination reason: Unknown
% 6.43/2.13 % (20639)Termination phase: Saturation
% 6.43/2.13
% 6.43/2.13 % (20639)Memory used [KB]: 5500
% 6.43/2.13 % (20639)Time elapsed: 0.006 s
% 6.43/2.13 % (20639)Instructions burned: 7 (million)
% 6.43/2.13 % (20639)------------------------------
% 6.43/2.13 % (20639)------------------------------
% 6.43/2.13 % (20640)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_20481 for (2993ds/150Mi)
% 6.43/2.14 % (20640)Refutation not found, incomplete strategy
% 6.43/2.14 % (20640)------------------------------
% 6.43/2.14 % (20640)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.43/2.14 % (20640)Termination reason: Refutation not found, incomplete strategy
% 6.43/2.14
% 6.43/2.14
% 6.43/2.14 % (20640)Memory used [KB]: 5500
% 6.43/2.14 % (20640)Time elapsed: 0.009 s
% 6.43/2.14 % (20640)Instructions burned: 10 (million)
% 6.43/2.14 % (20640)------------------------------
% 6.43/2.14 % (20640)------------------------------
% 6.43/2.14 % (20641)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_20481 for (2993ds/343Mi)
% 6.43/2.14 % (20642)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_20481 for (2993ds/109Mi)
% 6.43/2.15 % (20643)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_20481 for (2993ds/253Mi)
% 6.43/2.16 % (20644)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_20481 for (2993ds/140Mi)
% 6.43/2.16 % (20644)Refutation not found, incomplete strategy
% 6.43/2.16 % (20644)------------------------------
% 6.43/2.16 % (20644)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.43/2.16 % (20644)Termination reason: Refutation not found, incomplete strategy
% 6.43/2.16
% 6.43/2.16
% 6.43/2.16 % (20644)Memory used [KB]: 5500
% 6.43/2.16 % (20644)Time elapsed: 0.007 s
% 6.43/2.16 % (20644)Instructions burned: 6 (million)
% 6.43/2.16 % (20644)------------------------------
% 6.43/2.16 % (20644)------------------------------
% 6.43/2.19 % (20645)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_20481 for (2992ds/614Mi)
% 6.43/2.20 % (20642)Instruction limit reached!
% 6.43/2.20 % (20642)------------------------------
% 6.43/2.20 % (20642)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.43/2.20 % (20642)Termination reason: Unknown
% 6.43/2.20 % (20642)Termination phase: Saturation
% 6.43/2.20
% 6.43/2.20 % (20642)Memory used [KB]: 6012
% 6.43/2.20 % (20642)Time elapsed: 0.058 s
% 6.43/2.20 % (20642)Instructions burned: 109 (million)
% 6.43/2.20 % (20642)------------------------------
% 6.43/2.20 % (20642)------------------------------
% 6.64/2.21 % (20630)Instruction limit reached!
% 6.64/2.21 % (20630)------------------------------
% 6.64/2.21 % (20630)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.64/2.21 % (20630)Termination reason: Unknown
% 6.64/2.21 % (20630)Termination phase: Saturation
% 6.64/2.21
% 6.64/2.21 % (20630)Memory used [KB]: 2046
% 6.64/2.21 % (20630)Time elapsed: 0.210 s
% 6.64/2.21 % (20630)Instructions burned: 432 (million)
% 6.64/2.21 % (20630)------------------------------
% 6.64/2.21 % (20630)------------------------------
% 6.64/2.21 % (20646)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_20481 for (2992ds/202Mi)
% 6.64/2.22 % (20646)Refutation not found, incomplete strategy
% 6.64/2.22 % (20646)------------------------------
% 6.64/2.22 % (20646)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.64/2.22 % (20646)Termination reason: Refutation not found, incomplete strategy
% 6.64/2.22
% 6.64/2.22
% 6.64/2.22 % (20646)Memory used [KB]: 5500
% 6.64/2.22 % (20646)Time elapsed: 0.003 s
% 6.64/2.22 % (20646)Instructions burned: 3 (million)
% 6.64/2.22 % (20646)------------------------------
% 6.64/2.22 % (20646)------------------------------
% 6.64/2.22 % (20647)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_20481 for (2992ds/339Mi)
% 6.64/2.23 % (20648)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_20481 for (2992ds/283Mi)
% 6.64/2.24 % (20648)Refutation not found, incomplete strategy
% 6.64/2.24 % (20648)------------------------------
% 6.64/2.24 % (20648)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.64/2.24 % (20648)Termination reason: Refutation not found, incomplete strategy
% 6.64/2.24
% 6.64/2.24
% 6.64/2.24 % (20648)Memory used [KB]: 5500
% 6.64/2.24 % (20648)Time elapsed: 0.007 s
% 6.64/2.24 % (20648)Instructions burned: 7 (million)
% 6.64/2.24 % (20648)------------------------------
% 6.64/2.24 % (20648)------------------------------
% 6.64/2.26 % (20649)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_20481 for (2992ds/134Mi)
% 6.64/2.28 % (20643)Instruction limit reached!
% 6.64/2.28 % (20643)------------------------------
% 6.64/2.28 % (20643)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.64/2.28 % (20643)Termination reason: Unknown
% 6.64/2.28 % (20643)Termination phase: Saturation
% 6.64/2.28
% 6.64/2.28 % (20643)Memory used [KB]: 6524
% 6.64/2.28 % (20643)Time elapsed: 0.135 s
% 6.64/2.28 % (20643)Instructions burned: 253 (million)
% 6.64/2.28 % (20643)------------------------------
% 6.64/2.28 % (20643)------------------------------
% 6.64/2.29 % (20634)Instruction limit reached!
% 6.64/2.29 % (20634)------------------------------
% 6.64/2.29 % (20634)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.64/2.29 % (20634)Termination reason: Unknown
% 6.64/2.29 % (20634)Termination phase: Saturation
% 6.64/2.29
% 6.64/2.29 % (20634)Memory used [KB]: 7036
% 6.64/2.29 % (20634)Time elapsed: 0.235 s
% 6.64/2.29 % (20634)Instructions burned: 454 (million)
% 6.64/2.29 % (20634)------------------------------
% 6.64/2.29 % (20634)------------------------------
% 7.28/2.30 % (20650)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_20481 for (2991ds/298Mi)
% 7.28/2.31 % (20651)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_20481 for (2991ds/192Mi)
% 7.28/2.32 % (20641)Instruction limit reached!
% 7.28/2.32 % (20641)------------------------------
% 7.28/2.32 % (20641)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.28/2.32 % (20641)Termination reason: Unknown
% 7.28/2.32 % (20641)Termination phase: Saturation
% 7.28/2.32
% 7.28/2.32 % (20641)Memory used [KB]: 6780
% 7.28/2.32 % (20641)Time elapsed: 0.182 s
% 7.28/2.32 % (20641)Instructions burned: 343 (million)
% 7.28/2.32 % (20641)------------------------------
% 7.28/2.32 % (20641)------------------------------
% 7.28/2.32 % (20649)Instruction limit reached!
% 7.28/2.32 % (20649)------------------------------
% 7.28/2.32 % (20649)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.28/2.32 % (20649)Termination reason: Unknown
% 7.28/2.32 % (20649)Termination phase: Saturation
% 7.28/2.32
% 7.28/2.32 % (20649)Memory used [KB]: 6268
% 7.28/2.32 % (20649)Time elapsed: 0.071 s
% 7.28/2.32 % (20649)Instructions burned: 135 (million)
% 7.28/2.32 % (20649)------------------------------
% 7.28/2.32 % (20649)------------------------------
% 7.28/2.34 % (20652)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_20481 for (2991ds/258Mi)
% 7.28/2.34 % (20653)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_20481 for (2991ds/90Mi)
% 7.28/2.38 % (20647)Instruction limit reached!
% 7.28/2.38 % (20647)------------------------------
% 7.28/2.38 % (20647)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.28/2.38 % (20647)Termination reason: Unknown
% 7.28/2.38 % (20647)Termination phase: Saturation
% 7.28/2.38
% 7.28/2.38 % (20647)Memory used [KB]: 7036
% 7.28/2.38 % (20647)Time elapsed: 0.159 s
% 7.28/2.38 % (20647)Instructions burned: 339 (million)
% 7.28/2.38 % (20647)------------------------------
% 7.28/2.38 % (20647)------------------------------
% 7.28/2.39 % (20653)Instruction limit reached!
% 7.28/2.39 % (20653)------------------------------
% 7.28/2.39 % (20653)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.28/2.39 % (20653)Termination reason: Unknown
% 7.28/2.39 % (20653)Termination phase: Saturation
% 7.28/2.39
% 7.28/2.39 % (20653)Memory used [KB]: 5884
% 7.28/2.39 % (20653)Time elapsed: 0.072 s
% 7.28/2.39 % (20653)Instructions burned: 91 (million)
% 7.28/2.39 % (20653)------------------------------
% 7.28/2.39 % (20653)------------------------------
% 7.88/2.40 % (20654)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_20481 for (2990ds/231Mi)
% 7.88/2.41 % (20651)Instruction limit reached!
% 7.88/2.41 % (20651)------------------------------
% 7.88/2.41 % (20651)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.88/2.41 % (20655)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_20481 for (2990ds/458Mi)
% 7.88/2.41 % (20651)Termination reason: Unknown
% 7.88/2.41 % (20651)Termination phase: Saturation
% 7.88/2.41
% 7.88/2.41 % (20651)Memory used [KB]: 6140
% 7.88/2.41 % (20651)Time elapsed: 0.124 s
% 7.88/2.41 % (20651)Instructions burned: 192 (million)
% 7.88/2.41 % (20651)------------------------------
% 7.88/2.41 % (20651)------------------------------
% 7.88/2.43 % (20656)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_20481 for (2990ds/31Mi)
% 7.88/2.44 % (20656)Instruction limit reached!
% 7.88/2.44 % (20656)------------------------------
% 7.88/2.44 % (20656)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.88/2.44 % (20656)Termination reason: Unknown
% 7.88/2.44 % (20656)Termination phase: Saturation
% 7.88/2.44
% 7.88/2.44 % (20656)Memory used [KB]: 5756
% 7.88/2.44 % (20656)Time elapsed: 0.041 s
% 7.88/2.44 % (20656)Instructions burned: 31 (million)
% 7.88/2.44 % (20656)------------------------------
% 7.88/2.44 % (20656)------------------------------
% 7.88/2.45 % (20650)Instruction limit reached!
% 7.88/2.45 % (20650)------------------------------
% 7.88/2.45 % (20650)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.88/2.45 % (20650)Termination reason: Unknown
% 7.88/2.45 % (20650)Termination phase: Saturation
% 7.88/2.45
% 7.88/2.45 % (20650)Memory used [KB]: 6780
% 7.88/2.45 % (20650)Time elapsed: 0.179 s
% 7.88/2.45 % (20650)Instructions burned: 299 (million)
% 7.88/2.45 % (20650)------------------------------
% 7.88/2.45 % (20650)------------------------------
% 7.88/2.45 % (20627)Instruction limit reached!
% 7.88/2.45 % (20627)------------------------------
% 7.88/2.45 % (20627)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.88/2.45 % (20627)Termination reason: Unknown
% 7.88/2.45 % (20627)Termination phase: Saturation
% 7.88/2.45
% 7.88/2.45 % (20627)Memory used [KB]: 8187
% 7.88/2.45 % (20627)Time elapsed: 0.496 s
% 7.88/2.45 % (20627)Instructions burned: 1088 (million)
% 7.88/2.45 % (20627)------------------------------
% 7.88/2.45 % (20627)------------------------------
% 7.88/2.46 % (20657)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_20481 for (2989ds/297Mi)
% 7.88/2.47 % (20652)Instruction limit reached!
% 7.88/2.47 % (20652)------------------------------
% 7.88/2.47 % (20652)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.88/2.47 % (20652)Termination reason: Unknown
% 7.88/2.47 % (20652)Termination phase: Saturation
% 7.88/2.47
% 7.88/2.47 % (20652)Memory used [KB]: 6268
% 7.88/2.47 % (20652)Time elapsed: 0.155 s
% 7.88/2.47 % (20652)Instructions burned: 259 (million)
% 7.88/2.47 % (20652)------------------------------
% 7.88/2.47 % (20652)------------------------------
% 7.88/2.47 % (20658)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_20481 for (2989ds/987Mi)
% 7.88/2.47 % (20659)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_20481 for (2989ds/182Mi)
% 7.88/2.49 % (20660)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_20481 for (2989ds/182Mi)
% 8.43/2.50 % (20645)Instruction limit reached!
% 8.43/2.50 % (20645)------------------------------
% 8.43/2.50 % (20645)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.43/2.50 % (20645)Termination reason: Unknown
% 8.43/2.50 % (20645)Termination phase: Saturation
% 8.43/2.50
% 8.43/2.51 % (20645)Memory used [KB]: 7164
% 8.43/2.51 % (20645)Time elapsed: 0.322 s
% 8.43/2.51 % (20645)Instructions burned: 614 (million)
% 8.43/2.51 % (20645)------------------------------
% 8.43/2.51 % (20645)------------------------------
% 8.43/2.51 % (20654)Instruction limit reached!
% 8.43/2.51 % (20654)------------------------------
% 8.43/2.51 % (20654)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.43/2.51 % (20654)Termination reason: Unknown
% 8.43/2.51 % (20654)Termination phase: Saturation
% 8.43/2.51
% 8.43/2.51 % (20654)Memory used [KB]: 6524
% 8.43/2.51 % (20654)Time elapsed: 0.140 s
% 8.43/2.51 % (20654)Instructions burned: 232 (million)
% 8.43/2.51 % (20654)------------------------------
% 8.43/2.51 % (20654)------------------------------
% 8.43/2.52 % (20661)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_20481 for (2989ds/154Mi)
% 8.43/2.53 % (20662)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_20481 for (2989ds/79Mi)
% 8.43/2.56 % (20659)Instruction limit reached!
% 8.43/2.56 % (20659)------------------------------
% 8.43/2.56 % (20659)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.43/2.56 % (20659)Termination reason: Unknown
% 8.43/2.56 % (20659)Termination phase: Saturation
% 8.43/2.56
% 8.43/2.56 % (20659)Memory used [KB]: 6396
% 8.43/2.56 % (20659)Time elapsed: 0.094 s
% 8.43/2.56 % (20659)Instructions burned: 183 (million)
% 8.43/2.56 % (20659)------------------------------
% 8.43/2.56 % (20659)------------------------------
% 8.43/2.57 % (20662)Instruction limit reached!
% 8.43/2.57 % (20662)------------------------------
% 8.43/2.57 % (20662)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.43/2.57 % (20662)Termination reason: Unknown
% 8.43/2.57 % (20662)Termination phase: Saturation
% 8.43/2.57
% 8.43/2.57 % (20662)Memory used [KB]: 5884
% 8.43/2.57 % (20662)Time elapsed: 0.042 s
% 8.43/2.57 % (20662)Instructions burned: 79 (million)
% 8.43/2.57 % (20662)------------------------------
% 8.43/2.57 % (20662)------------------------------
% 8.43/2.58 % (20660)Instruction limit reached!
% 8.43/2.58 % (20660)------------------------------
% 8.43/2.58 % (20660)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.43/2.58 % (20660)Termination reason: Unknown
% 8.43/2.58 % (20660)Termination phase: Saturation
% 8.43/2.58
% 8.43/2.58 % (20660)Memory used [KB]: 6012
% 8.43/2.58 % (20660)Time elapsed: 0.097 s
% 8.43/2.58 % (20660)Instructions burned: 182 (million)
% 8.43/2.58 % (20660)------------------------------
% 8.43/2.58 % (20660)------------------------------
% 8.43/2.58 % (20663)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_20481 for (2988ds/216Mi)
% 8.43/2.59 % (20664)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_20481 for (2988ds/114Mi)
% 8.43/2.59 % (20663)Refutation not found, incomplete strategy
% 8.43/2.59 % (20663)------------------------------
% 8.43/2.59 % (20663)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.43/2.59 % (20663)Termination reason: Refutation not found, incomplete strategy
% 8.43/2.59
% 8.43/2.59
% 8.43/2.59 % (20663)Memory used [KB]: 5500
% 8.43/2.59 % (20663)Time elapsed: 0.013 s
% 8.43/2.59 % (20663)Instructions burned: 21 (million)
% 8.43/2.59 % (20663)------------------------------
% 8.43/2.59 % (20663)------------------------------
% 9.23/2.60 % (20665)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_20481 for (2988ds/922Mi)
% 9.23/2.60 % (20661)Instruction limit reached!
% 9.23/2.60 % (20661)------------------------------
% 9.23/2.60 % (20661)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.23/2.60 % (20661)Termination reason: Unknown
% 9.23/2.60 % (20661)Termination phase: Saturation
% 9.23/2.60
% 9.23/2.60 % (20661)Memory used [KB]: 6140
% 9.23/2.60 % (20661)Time elapsed: 0.078 s
% 9.23/2.60 % (20661)Instructions burned: 155 (million)
% 9.23/2.60 % (20661)------------------------------
% 9.23/2.60 % (20661)------------------------------
% 9.23/2.61 % (20666)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_20481 for (2988ds/182Mi)
% 9.23/2.61 % (20666)Refutation not found, incomplete strategy
% 9.23/2.61 % (20666)------------------------------
% 9.23/2.61 % (20666)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.23/2.61 % (20666)Termination reason: Refutation not found, incomplete strategy
% 9.23/2.61
% 9.23/2.61
% 9.23/2.61 % (20666)Memory used [KB]: 5500
% 9.23/2.61 % (20666)Time elapsed: 0.005 s
% 9.23/2.61 % (20666)Instructions burned: 7 (million)
% 9.23/2.61 % (20666)------------------------------
% 9.23/2.61 % (20666)------------------------------
% 9.23/2.61 % (20667)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_20481 for (2988ds/164Mi)
% 9.23/2.61 % (20657)Instruction limit reached!
% 9.23/2.61 % (20657)------------------------------
% 9.23/2.61 % (20657)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.23/2.61 % (20657)Termination reason: Unknown
% 9.23/2.61 % (20657)Termination phase: Saturation
% 9.23/2.61
% 9.23/2.61 % (20657)Memory used [KB]: 6524
% 9.23/2.61 % (20657)Time elapsed: 0.156 s
% 9.23/2.61 % (20657)Instructions burned: 297 (million)
% 9.23/2.61 % (20657)------------------------------
% 9.23/2.61 % (20657)------------------------------
% 9.23/2.63 % (20668)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_20481 for (2988ds/50Mi)
% 9.23/2.63 % (20669)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_20481 for (2988ds/368Mi)
% 9.23/2.63 % (20655)Instruction limit reached!
% 9.23/2.63 % (20655)------------------------------
% 9.23/2.63 % (20655)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.23/2.63 % (20655)Termination reason: Unknown
% 9.23/2.63 % (20655)Termination phase: Saturation
% 9.23/2.63
% 9.23/2.63 % (20655)Memory used [KB]: 7036
% 9.23/2.63 % (20655)Time elapsed: 0.251 s
% 9.23/2.63 % (20655)Instructions burned: 459 (million)
% 9.23/2.63 % (20655)------------------------------
% 9.23/2.63 % (20655)------------------------------
% 9.23/2.65 % (20664)Instruction limit reached!
% 9.23/2.65 % (20664)------------------------------
% 9.23/2.65 % (20664)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.23/2.65 % (20664)Termination reason: Unknown
% 9.23/2.65 % (20664)Termination phase: Saturation
% 9.23/2.65
% 9.23/2.65 % (20664)Memory used [KB]: 6012
% 9.23/2.65 % (20664)Time elapsed: 0.061 s
% 9.23/2.65 % (20664)Instructions burned: 115 (million)
% 9.23/2.65 % (20664)------------------------------
% 9.23/2.65 % (20664)------------------------------
% 9.23/2.65 % (20670)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_20481 for (2988ds/1021Mi)
% 9.23/2.66 % (20668)Instruction limit reached!
% 9.23/2.66 % (20668)------------------------------
% 9.23/2.66 % (20668)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.23/2.66 % (20668)Termination reason: Unknown
% 9.23/2.66 % (20668)Termination phase: Saturation
% 9.23/2.66
% 9.23/2.66 % (20668)Memory used [KB]: 10234
% 9.23/2.66 % (20668)Time elapsed: 0.030 s
% 9.23/2.66 % (20668)Instructions burned: 51 (million)
% 9.23/2.66 % (20668)------------------------------
% 9.23/2.66 % (20668)------------------------------
% 9.23/2.67 % (20671)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_20481 for (2987ds/267Mi)
% 9.23/2.68 % (20672)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_20481 for (2987ds/204Mi)
% 9.23/2.69 % (20667)Instruction limit reached!
% 9.23/2.69 % (20667)------------------------------
% 9.23/2.69 % (20667)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.23/2.69 % (20667)Termination reason: Unknown
% 9.23/2.69 % (20667)Termination phase: Saturation
% 9.23/2.69
% 9.23/2.69 % (20667)Memory used [KB]: 1407
% 9.23/2.69 % (20667)Time elapsed: 0.081 s
% 9.23/2.69 % (20667)Instructions burned: 164 (million)
% 9.23/2.69 % (20667)------------------------------
% 9.23/2.69 % (20667)------------------------------
% 9.97/2.71 % (20673)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_20481 for (2987ds/26Mi)
% 9.97/2.72 % (20673)Refutation not found, incomplete strategy
% 9.97/2.72 % (20673)------------------------------
% 9.97/2.72 % (20673)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.97/2.72 % (20673)Termination reason: Refutation not found, incomplete strategy
% 9.97/2.72
% 9.97/2.72
% 9.97/2.72 % (20673)Memory used [KB]: 5628
% 9.97/2.72 % (20673)Time elapsed: 0.010 s
% 9.97/2.72 % (20673)Instructions burned: 14 (million)
% 9.97/2.72 % (20673)------------------------------
% 9.97/2.72 % (20673)------------------------------
% 9.97/2.74 % (20674)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_20481 for (2987ds/53Mi)
% 9.97/2.76 % (20674)Refutation not found, incomplete strategy
% 9.97/2.76 % (20674)------------------------------
% 9.97/2.76 % (20674)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.97/2.76 % (20674)Termination reason: Refutation not found, incomplete strategy
% 9.97/2.76
% 9.97/2.76
% 9.97/2.76 % (20674)Memory used [KB]: 5628
% 9.97/2.76 % (20674)Time elapsed: 0.023 s
% 9.97/2.76 % (20674)Instructions burned: 43 (million)
% 9.97/2.76 % (20674)------------------------------
% 9.97/2.76 % (20674)------------------------------
% 9.97/2.78 % (20675)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_20481 for (2986ds/4436Mi)
% 9.97/2.78 % (20672)Instruction limit reached!
% 9.97/2.78 % (20672)------------------------------
% 9.97/2.78 % (20672)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.97/2.78 % (20672)Termination reason: Unknown
% 9.97/2.78 % (20672)Termination phase: Saturation
% 9.97/2.78
% 9.97/2.78 % (20672)Memory used [KB]: 6140
% 9.97/2.78 % (20672)Time elapsed: 0.112 s
% 9.97/2.78 % (20672)Instructions burned: 204 (million)
% 9.97/2.78 % (20672)------------------------------
% 9.97/2.78 % (20672)------------------------------
% 9.97/2.79 % (20671)Instruction limit reached!
% 9.97/2.79 % (20671)------------------------------
% 9.97/2.79 % (20671)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.97/2.79 % (20671)Termination reason: Unknown
% 9.97/2.79 % (20671)Termination phase: Saturation
% 9.97/2.79
% 9.97/2.80 % (20671)Memory used [KB]: 6396
% 9.97/2.80 % (20671)Time elapsed: 0.131 s
% 9.97/2.80 % (20671)Instructions burned: 268 (million)
% 9.97/2.80 % (20671)------------------------------
% 9.97/2.80 % (20671)------------------------------
% 10.31/2.80 % (20676)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_20481 for (2986ds/1539Mi)
% 10.31/2.81 % (20677)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_20481 for (2986ds/408Mi)
% 10.31/2.82 % (20677)Refutation not found, incomplete strategy
% 10.31/2.82 % (20677)------------------------------
% 10.31/2.82 % (20677)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.31/2.82 % (20677)Termination reason: Refutation not found, incomplete strategy
% 10.31/2.82
% 10.31/2.82
% 10.31/2.82 % (20677)Memory used [KB]: 5500
% 10.31/2.82 % (20677)Time elapsed: 0.004 s
% 10.31/2.82 % (20677)Instructions burned: 3 (million)
% 10.31/2.82 % (20677)------------------------------
% 10.31/2.82 % (20677)------------------------------
% 10.31/2.82 % (20669)Instruction limit reached!
% 10.31/2.82 % (20669)------------------------------
% 10.31/2.82 % (20669)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.31/2.82 % (20669)Termination reason: Unknown
% 10.31/2.82 % (20669)Termination phase: Saturation
% 10.31/2.82
% 10.31/2.82 % (20669)Memory used [KB]: 6396
% 10.31/2.82 % (20669)Time elapsed: 0.186 s
% 10.31/2.82 % (20669)Instructions burned: 368 (million)
% 10.31/2.82 % (20669)------------------------------
% 10.31/2.82 % (20669)------------------------------
% 10.31/2.83 % (20679)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_20481 for (2986ds/1913Mi)
% 10.31/2.83 % (20678)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_20481 for (2986ds/5205Mi)
% 10.53/2.96 % (20658)Instruction limit reached!
% 10.53/2.96 % (20658)------------------------------
% 10.53/2.96 % (20658)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.53/2.96 % (20658)Termination reason: Unknown
% 10.53/2.96 % (20658)Termination phase: Saturation
% 10.53/2.96
% 10.53/2.96 % (20658)Memory used [KB]: 8699
% 10.53/2.96 % (20658)Time elapsed: 0.493 s
% 10.53/2.96 % (20658)Instructions burned: 988 (million)
% 10.53/2.96 % (20658)------------------------------
% 10.53/2.96 % (20658)------------------------------
% 10.53/2.98 % (20680)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_20481 for (2984ds/4350Mi)
% 12.79/3.04 % (20665)Instruction limit reached!
% 12.79/3.04 % (20665)------------------------------
% 12.79/3.04 % (20665)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.79/3.04 % (20665)Termination reason: Unknown
% 12.79/3.04 % (20665)Termination phase: Saturation
% 12.79/3.04
% 12.79/3.04 % (20665)Memory used [KB]: 8571
% 12.79/3.04 % (20665)Time elapsed: 0.450 s
% 12.79/3.04 % (20665)Instructions burned: 922 (million)
% 12.79/3.04 % (20665)------------------------------
% 12.79/3.04 % (20665)------------------------------
% 12.79/3.07 % (20681)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_20481 for (2984ds/68Mi)
% 12.79/3.10 % (20681)Instruction limit reached!
% 12.79/3.10 % (20681)------------------------------
% 12.79/3.10 % (20681)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.79/3.10 % (20681)Termination reason: Unknown
% 12.79/3.10 % (20681)Termination phase: Saturation
% 12.79/3.10
% 12.79/3.10 % (20681)Memory used [KB]: 5884
% 12.79/3.10 % (20681)Time elapsed: 0.040 s
% 12.79/3.10 % (20681)Instructions burned: 68 (million)
% 12.79/3.10 % (20681)------------------------------
% 12.79/3.10 % (20681)------------------------------
% 12.79/3.12 % (20682)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_20481 for (2983ds/358Mi)
% 13.49/3.15 % (20670)Instruction limit reached!
% 13.49/3.15 % (20670)------------------------------
% 13.49/3.15 % (20670)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.49/3.15 % (20670)Termination reason: Unknown
% 13.49/3.15 % (20670)Termination phase: Saturation
% 13.49/3.15
% 13.49/3.15 % (20670)Memory used [KB]: 8315
% 13.49/3.15 % (20670)Time elapsed: 0.494 s
% 13.49/3.15 % (20670)Instructions burned: 1021 (million)
% 13.49/3.15 % (20670)------------------------------
% 13.49/3.15 % (20670)------------------------------
% 13.49/3.16 % (20683)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_20481 for (2983ds/31Mi)
% 13.49/3.18 % (20683)Instruction limit reached!
% 13.49/3.18 % (20683)------------------------------
% 13.49/3.18 % (20683)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.49/3.18 % (20683)Termination reason: Unknown
% 13.49/3.18 % (20683)Termination phase: Saturation
% 13.49/3.18
% 13.49/3.18 % (20683)Memory used [KB]: 5756
% 13.49/3.18 % (20683)Time elapsed: 0.018 s
% 13.49/3.18 % (20683)Instructions burned: 31 (million)
% 13.49/3.18 % (20683)------------------------------
% 13.49/3.18 % (20683)------------------------------
% 13.91/3.20 % (20684)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_20481 for (2982ds/279Mi)
% 14.41/3.30 % (20682)Instruction limit reached!
% 14.41/3.30 % (20682)------------------------------
% 14.41/3.30 % (20682)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.41/3.30 % (20682)Termination reason: Unknown
% 14.41/3.30 % (20682)Termination phase: Saturation
% 14.41/3.30
% 14.41/3.30 % (20682)Memory used [KB]: 6652
% 14.41/3.30 % (20682)Time elapsed: 0.184 s
% 14.41/3.30 % (20682)Instructions burned: 359 (million)
% 14.41/3.30 % (20682)------------------------------
% 14.41/3.30 % (20682)------------------------------
% 14.41/3.32 % (20685)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_20481 for (2981ds/258Mi)
% 14.41/3.33 % (20684)Instruction limit reached!
% 14.41/3.33 % (20684)------------------------------
% 14.41/3.33 % (20684)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.41/3.33 % (20684)Termination reason: Unknown
% 14.41/3.33 % (20684)Termination phase: Saturation
% 14.41/3.33
% 14.41/3.33 % (20684)Memory used [KB]: 6524
% 14.41/3.33 % (20684)Time elapsed: 0.130 s
% 14.41/3.33 % (20684)Instructions burned: 280 (million)
% 14.41/3.33 % (20684)------------------------------
% 14.41/3.33 % (20684)------------------------------
% 14.41/3.34 % (20686)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_20481 for (2981ds/26Mi)
% 14.41/3.35 % (20686)Refutation not found, incomplete strategy
% 14.41/3.35 % (20686)------------------------------
% 14.41/3.35 % (20686)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.41/3.35 % (20686)Termination reason: Refutation not found, incomplete strategy
% 14.41/3.35
% 14.41/3.35
% 14.41/3.35 % (20686)Memory used [KB]: 5628
% 14.41/3.35 % (20686)Time elapsed: 0.010 s
% 14.41/3.35 % (20686)Instructions burned: 14 (million)
% 14.41/3.35 % (20686)------------------------------
% 14.41/3.35 % (20686)------------------------------
% 14.41/3.37 % (20687)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_20481 for (2980ds/995Mi)
% 15.29/3.45 % (20685)Instruction limit reached!
% 15.29/3.45 % (20685)------------------------------
% 15.29/3.45 % (20685)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.29/3.45 % (20685)Termination reason: Unknown
% 15.29/3.45 % (20685)Termination phase: Saturation
% 15.29/3.45
% 15.29/3.45 % (20685)Memory used [KB]: 6524
% 15.29/3.45 % (20685)Time elapsed: 0.155 s
% 15.29/3.45 % (20685)Instructions burned: 259 (million)
% 15.29/3.45 % (20685)------------------------------
% 15.29/3.45 % (20685)------------------------------
% 15.29/3.47 % (20688)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_20481 for (2979ds/373Mi)
% 15.94/3.56 % (20676)Instruction limit reached!
% 15.94/3.56 % (20676)------------------------------
% 15.94/3.56 % (20676)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.94/3.56 % (20676)Termination reason: Unknown
% 15.94/3.56 % (20676)Termination phase: Saturation
% 15.94/3.56
% 15.94/3.56 % (20676)Memory used [KB]: 8955
% 15.94/3.56 % (20676)Time elapsed: 0.762 s
% 15.94/3.56 % (20676)Instructions burned: 1540 (million)
% 15.94/3.56 % (20676)------------------------------
% 15.94/3.56 % (20676)------------------------------
% 15.94/3.58 % (20689)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_20481 for (2978ds/253Mi)
% 16.42/3.67 % (20688)Instruction limit reached!
% 16.42/3.67 % (20688)------------------------------
% 16.42/3.67 % (20688)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.42/3.67 % (20688)Termination reason: Unknown
% 16.42/3.67 % (20688)Termination phase: Saturation
% 16.42/3.67
% 16.42/3.67 % (20688)Memory used [KB]: 6780
% 16.42/3.67 % (20688)Time elapsed: 0.195 s
% 16.42/3.67 % (20688)Instructions burned: 374 (million)
% 16.42/3.67 % (20688)------------------------------
% 16.42/3.67 % (20688)------------------------------
% 16.42/3.68 % (20690)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_20481 for (2977ds/832Mi)
% 16.42/3.69 % (20690)Refutation not found, incomplete strategy
% 16.42/3.69 % (20690)------------------------------
% 16.42/3.69 % (20690)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.42/3.69 % (20690)Termination reason: Refutation not found, incomplete strategy
% 16.42/3.69
% 16.42/3.69
% 16.42/3.69 % (20690)Memory used [KB]: 5500
% 16.42/3.69 % (20690)Time elapsed: 0.004 s
% 16.42/3.69 % (20690)Instructions burned: 4 (million)
% 16.42/3.69 % (20690)------------------------------
% 16.42/3.69 % (20690)------------------------------
% 17.03/3.70 % (20691)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_20481 for (2977ds/668Mi)
% 17.03/3.70 % (20689)Instruction limit reached!
% 17.03/3.70 % (20689)------------------------------
% 17.03/3.70 % (20689)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.03/3.70 % (20689)Termination reason: Unknown
% 17.03/3.70 % (20689)Termination phase: Saturation
% 17.03/3.70
% 17.03/3.70 % (20689)Memory used [KB]: 6524
% 17.03/3.70 % (20689)Time elapsed: 0.126 s
% 17.03/3.70 % (20689)Instructions burned: 253 (million)
% 17.03/3.70 % (20689)------------------------------
% 17.03/3.70 % (20689)------------------------------
% 17.03/3.72 % (20692)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_20481 for (2977ds/40Mi)
% 17.03/3.73 % (20692)Refutation not found, incomplete strategy
% 17.03/3.73 % (20692)------------------------------
% 17.03/3.73 % (20692)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.03/3.73 % (20692)Termination reason: Refutation not found, incomplete strategy
% 17.03/3.73
% 17.03/3.73
% 17.03/3.73 % (20692)Memory used [KB]: 5500
% 17.03/3.73 % (20692)Time elapsed: 0.006 s
% 17.03/3.73 % (20692)Instructions burned: 7 (million)
% 17.03/3.73 % (20692)------------------------------
% 17.03/3.73 % (20692)------------------------------
% 17.03/3.74 % (20679)Instruction limit reached!
% 17.03/3.74 % (20679)------------------------------
% 17.03/3.74 % (20679)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.03/3.74 % (20679)Termination reason: Unknown
% 17.03/3.74 % (20679)Termination phase: Saturation
% 17.03/3.74
% 17.03/3.74 % (20679)Memory used [KB]: 2430
% 17.03/3.74 % (20679)Time elapsed: 0.907 s
% 17.03/3.74 % (20679)Instructions burned: 1913 (million)
% 17.03/3.74 % (20679)------------------------------
% 17.03/3.74 % (20679)------------------------------
% 17.03/3.74 % (20693)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_20481 for (2977ds/294Mi)
% 17.03/3.76 % (20694)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_20481 for (2976ds/187Mi)
% 17.55/3.84 % (20694)Instruction limit reached!
% 17.55/3.84 % (20694)------------------------------
% 17.55/3.84 % (20694)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.55/3.84 % (20694)Termination reason: Unknown
% 17.55/3.84 % (20694)Termination phase: Saturation
% 17.55/3.84
% 17.55/3.84 % (20694)Memory used [KB]: 6268
% 17.55/3.84 % (20694)Time elapsed: 0.091 s
% 17.55/3.84 % (20694)Instructions burned: 187 (million)
% 17.55/3.84 % (20694)------------------------------
% 17.55/3.84 % (20694)------------------------------
% 17.55/3.86 % (20695)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_20481 for (2975ds/371Mi)
% 17.55/3.88 % (20687)Instruction limit reached!
% 17.55/3.88 % (20687)------------------------------
% 17.55/3.88 % (20687)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.55/3.88 % (20687)Termination reason: Unknown
% 17.55/3.88 % (20687)Termination phase: Saturation
% 17.55/3.88
% 17.55/3.88 % (20687)Memory used [KB]: 7931
% 17.55/3.88 % (20687)Time elapsed: 0.513 s
% 17.55/3.88 % (20687)Instructions burned: 995 (million)
% 17.55/3.88 % (20687)------------------------------
% 17.55/3.88 % (20687)------------------------------
% 17.55/3.89 % (20693)Instruction limit reached!
% 17.55/3.89 % (20693)------------------------------
% 17.55/3.89 % (20693)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.55/3.89 % (20693)Termination reason: Unknown
% 17.55/3.89 % (20693)Termination phase: Saturation
% 17.55/3.89
% 17.55/3.89 % (20693)Memory used [KB]: 6524
% 17.55/3.89 % (20693)Time elapsed: 0.147 s
% 17.55/3.89 % (20693)Instructions burned: 294 (million)
% 17.55/3.89 % (20693)------------------------------
% 17.55/3.89 % (20693)------------------------------
% 18.64/3.90 % (20696)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_20481 for (2975ds/1827Mi)
% 18.64/3.90 % (20697)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_20481 for (2975ds/70Mi)
% 18.64/3.94 % (20697)Instruction limit reached!
% 18.64/3.94 % (20697)------------------------------
% 18.64/3.94 % (20697)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.64/3.94 % (20697)Termination reason: Unknown
% 18.64/3.94 % (20697)Termination phase: Saturation
% 18.64/3.94
% 18.64/3.94 % (20697)Memory used [KB]: 1279
% 18.64/3.94 % (20697)Time elapsed: 0.036 s
% 18.64/3.94 % (20697)Instructions burned: 70 (million)
% 18.64/3.94 % (20697)------------------------------
% 18.64/3.94 % (20697)------------------------------
% 18.64/3.96 % (20698)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_20481 for (2975ds/316Mi)
% 19.76/4.03 % (20691)Instruction limit reached!
% 19.76/4.03 % (20691)------------------------------
% 19.76/4.03 % (20691)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.76/4.03 % (20691)Termination reason: Unknown
% 19.76/4.03 % (20691)Termination phase: Saturation
% 19.76/4.03
% 19.76/4.03 % (20691)Memory used [KB]: 11897
% 19.76/4.03 % (20691)Time elapsed: 0.332 s
% 19.76/4.03 % (20691)Instructions burned: 668 (million)
% 19.76/4.03 % (20691)------------------------------
% 19.76/4.03 % (20691)------------------------------
% 19.76/4.05 % (20699)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_20481 for (2974ds/932Mi)
% 19.76/4.06 % (20695)Instruction limit reached!
% 19.76/4.06 % (20695)------------------------------
% 19.76/4.06 % (20695)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.76/4.06 % (20695)Termination reason: Unknown
% 19.76/4.06 % (20695)Termination phase: Saturation
% 19.76/4.06
% 19.76/4.06 % (20695)Memory used [KB]: 6908
% 19.76/4.06 % (20695)Time elapsed: 0.195 s
% 19.76/4.06 % (20695)Instructions burned: 372 (million)
% 19.76/4.06 % (20695)------------------------------
% 19.76/4.06 % (20695)------------------------------
% 19.76/4.08 % (20700)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_20481 for (2973ds/4714Mi)
% 19.76/4.12 % (20698)Instruction limit reached!
% 19.76/4.12 % (20698)------------------------------
% 19.76/4.12 % (20698)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.76/4.12 % (20698)Termination reason: Unknown
% 19.76/4.12 % (20698)Termination phase: Saturation
% 19.76/4.12
% 19.76/4.12 % (20698)Memory used [KB]: 6524
% 19.76/4.12 % (20698)Time elapsed: 0.169 s
% 19.76/4.12 % (20698)Instructions burned: 316 (million)
% 19.76/4.12 % (20698)------------------------------
% 19.76/4.12 % (20698)------------------------------
% 20.36/4.14 % (20701)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_20481 for (2973ds/8250Mi)
% 21.86/4.52 % (20699)Instruction limit reached!
% 21.86/4.52 % (20699)------------------------------
% 21.86/4.52 % (20699)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.86/4.52 % (20699)Termination reason: Unknown
% 21.86/4.52 % (20699)Termination phase: Saturation
% 21.86/4.52
% 21.86/4.52 % (20699)Memory used [KB]: 8443
% 21.86/4.52 % (20699)Time elapsed: 0.471 s
% 21.86/4.52 % (20699)Instructions burned: 932 (million)
% 21.86/4.52 % (20699)------------------------------
% 21.86/4.52 % (20699)------------------------------
% 21.86/4.54 % (20702)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_20481 for (2969ds/770Mi)
% 21.86/4.54 % (20702)Refutation not found, incomplete strategy
% 21.86/4.54 % (20702)------------------------------
% 21.86/4.54 % (20702)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.86/4.54 % (20702)Termination reason: Refutation not found, incomplete strategy
% 21.86/4.54
% 21.86/4.54
% 21.86/4.54 % (20702)Memory used [KB]: 5500
% 21.86/4.54 % (20702)Time elapsed: 0.005 s
% 21.86/4.54 % (20702)Instructions burned: 4 (million)
% 21.86/4.54 % (20702)------------------------------
% 21.86/4.54 % (20702)------------------------------
% 21.86/4.56 % (20703)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_20481 for (2968ds/794Mi)
% 23.16/4.71 % (20675)Instruction limit reached!
% 23.16/4.71 % (20675)------------------------------
% 23.16/4.71 % (20675)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.16/4.71 % (20675)Termination reason: Unknown
% 23.16/4.71 % (20675)Termination phase: Saturation
% 23.16/4.71
% 23.16/4.71 % (20675)Memory used [KB]: 14583
% 23.16/4.71 % (20675)Time elapsed: 1.936 s
% 23.16/4.71 % (20675)Instructions burned: 4436 (million)
% 23.16/4.71 % (20675)------------------------------
% 23.16/4.71 % (20675)------------------------------
% 23.16/4.72 % (20704)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_20481 for (2967ds/464Mi)
% 23.16/4.78 % (20696)Instruction limit reached!
% 23.16/4.78 % (20696)------------------------------
% 23.16/4.78 % (20696)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.16/4.78 % (20696)Termination reason: Unknown
% 23.16/4.78 % (20696)Termination phase: Saturation
% 23.16/4.78
% 23.16/4.78 % (20696)Memory used [KB]: 7675
% 23.16/4.78 % (20696)Time elapsed: 0.881 s
% 23.16/4.78 % (20696)Instructions burned: 1829 (million)
% 23.16/4.78 % (20696)------------------------------
% 23.16/4.78 % (20696)------------------------------
% 23.16/4.79 % (20705)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_20481 for (2966ds/1376Mi)
% 23.46/4.80 % (20705)Refutation not found, incomplete strategy
% 23.46/4.80 % (20705)------------------------------
% 23.46/4.80 % (20705)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.46/4.80 % (20705)Termination reason: Refutation not found, incomplete strategy
% 23.46/4.80
% 23.46/4.80
% 23.46/4.80 % (20705)Memory used [KB]: 5500
% 23.46/4.80 % (20705)Time elapsed: 0.007 s
% 23.46/4.80 % (20705)Instructions burned: 9 (million)
% 23.46/4.80 % (20705)------------------------------
% 23.46/4.80 % (20705)------------------------------
% 23.46/4.82 % (20706)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_20481 for (2966ds/906Mi)
% 23.46/4.86 % (20704)Instruction limit reached!
% 23.46/4.86 % (20704)------------------------------
% 23.46/4.86 % (20704)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.46/4.86 % (20704)Termination reason: Unknown
% 23.46/4.86 % (20704)Termination phase: Saturation
% 23.46/4.86
% 23.46/4.86 % (20704)Memory used [KB]: 6780
% 23.46/4.86 % (20704)Time elapsed: 0.141 s
% 23.46/4.86 % (20704)Instructions burned: 464 (million)
% 23.46/4.86 % (20704)------------------------------
% 23.46/4.86 % (20704)------------------------------
% 23.46/4.87 % (20707)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_20481 for (2965ds/434Mi)
% 23.46/4.87 % (20707)Refutation not found, incomplete strategy
% 23.46/4.87 % (20707)------------------------------
% 23.46/4.87 % (20707)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.46/4.87 % (20707)Termination reason: Refutation not found, incomplete strategy
% 23.46/4.87
% 23.46/4.87
% 23.46/4.87 % (20707)Memory used [KB]: 5500
% 23.46/4.87 % (20707)Time elapsed: 0.003 s
% 23.46/4.87 % (20707)Instructions burned: 3 (million)
% 23.46/4.87 % (20707)------------------------------
% 23.46/4.87 % (20707)------------------------------
% 23.46/4.89 % (20708)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_20481 for (2965ds/865Mi)
% 23.86/4.94 % (20703)Instruction limit reached!
% 23.86/4.94 % (20703)------------------------------
% 23.86/4.94 % (20703)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.86/4.94 % (20703)Termination reason: Unknown
% 23.86/4.94 % (20703)Termination phase: Saturation
% 23.86/4.94
% 23.86/4.94 % (20703)Memory used [KB]: 1918
% 23.86/4.94 % (20703)Time elapsed: 0.383 s
% 23.86/4.94 % (20703)Instructions burned: 794 (million)
% 23.86/4.94 % (20703)------------------------------
% 23.86/4.94 % (20703)------------------------------
% 23.86/4.96 % (20709)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_20481 for (2965ds/593Mi)
% 27.36/5.14 % (20680)Instruction limit reached!
% 27.36/5.14 % (20680)------------------------------
% 27.36/5.14 % (20680)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.36/5.14 % (20680)Termination reason: Unknown
% 27.36/5.14 % (20680)Termination phase: Saturation
% 27.36/5.14
% 27.36/5.14 % (20680)Memory used [KB]: 12792
% 27.36/5.14 % (20680)Time elapsed: 2.165 s
% 27.36/5.14 % (20680)Instructions burned: 4351 (million)
% 27.36/5.14 % (20680)------------------------------
% 27.36/5.14 % (20680)------------------------------
% 27.36/5.16 % (20710)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_20481 for (2963ds/443Mi)
% 27.88/5.26 % (20709)Instruction limit reached!
% 27.88/5.26 % (20709)------------------------------
% 27.88/5.26 % (20709)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.88/5.26 % (20709)Termination reason: Unknown
% 27.88/5.26 % (20709)Termination phase: Saturation
% 27.88/5.26
% 27.88/5.26 % (20709)Memory used [KB]: 7164
% 27.88/5.26 % (20709)Time elapsed: 0.314 s
% 27.88/5.26 % (20709)Instructions burned: 594 (million)
% 27.88/5.26 % (20709)------------------------------
% 27.88/5.26 % (20709)------------------------------
% 27.88/5.28 % (20711)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_20481 for (2961ds/594Mi)
% 28.46/5.30 % (20706)Instruction limit reached!
% 28.46/5.30 % (20706)------------------------------
% 28.46/5.30 % (20706)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.46/5.30 % (20706)Termination reason: Unknown
% 28.46/5.30 % (20706)Termination phase: Saturation
% 28.46/5.30
% 28.46/5.30 % (20706)Memory used [KB]: 8443
% 28.46/5.30 % (20706)Time elapsed: 0.488 s
% 28.46/5.30 % (20706)Instructions burned: 906 (million)
% 28.46/5.30 % (20706)------------------------------
% 28.46/5.30 % (20706)------------------------------
% 28.46/5.31 % (20708)Instruction limit reached!
% 28.46/5.31 % (20708)------------------------------
% 28.46/5.31 % (20708)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.46/5.31 % (20708)Termination reason: Unknown
% 28.46/5.31 % (20708)Termination phase: Saturation
% 28.46/5.31
% 28.46/5.31 % (20708)Memory used [KB]: 8827
% 28.46/5.31 % (20708)Time elapsed: 0.431 s
% 28.46/5.31 % (20708)Instructions burned: 866 (million)
% 28.46/5.31 % (20708)------------------------------
% 28.46/5.31 % (20708)------------------------------
% 28.46/5.32 % (20712)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_20481 for (2961ds/327Mi)
% 28.46/5.33 % (20713)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_20481 for (2961ds/5411Mi)
% 28.46/5.38 % (20678)Instruction limit reached!
% 28.46/5.38 % (20678)------------------------------
% 28.46/5.38 % (20678)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.46/5.38 % (20678)Termination reason: Unknown
% 28.46/5.38 % (20678)Termination phase: Saturation
% 28.46/5.38
% 28.46/5.38 % (20678)Memory used [KB]: 16375
% 28.46/5.38 % (20678)Time elapsed: 2.545 s
% 28.46/5.38 % (20678)Instructions burned: 5205 (million)
% 28.46/5.38 % (20678)------------------------------
% 28.46/5.38 % (20678)------------------------------
% 28.46/5.39 % (20710)Instruction limit reached!
% 28.46/5.39 % (20710)------------------------------
% 28.46/5.39 % (20710)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.46/5.39 % (20710)Termination reason: Unknown
% 28.46/5.39 % (20710)Termination phase: Saturation
% 28.46/5.39
% 28.46/5.39 % (20710)Memory used [KB]: 6780
% 28.46/5.39 % (20710)Time elapsed: 0.226 s
% 28.46/5.39 % (20710)Instructions burned: 443 (million)
% 28.46/5.39 % (20710)------------------------------
% 28.46/5.39 % (20710)------------------------------
% 28.46/5.40 % (20714)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_20481 for (2960ds/1762Mi)
% 29.02/5.40 % (20715)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_20481 for (2960ds/96Mi)
% 29.02/5.45 % (20715)Instruction limit reached!
% 29.02/5.45 % (20715)------------------------------
% 29.02/5.45 % (20715)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.02/5.45 % (20715)Termination reason: Unknown
% 29.02/5.45 % (20715)Termination phase: Saturation
% 29.02/5.45
% 29.02/5.45 % (20715)Memory used [KB]: 5884
% 29.02/5.45 % (20715)Time elapsed: 0.050 s
% 29.02/5.45 % (20715)Instructions burned: 96 (million)
% 29.02/5.45 % (20715)------------------------------
% 29.02/5.45 % (20715)------------------------------
% 29.02/5.47 % (20716)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_20481 for (2959ds/503Mi)
% 29.02/5.49 % (20712)Instruction limit reached!
% 29.02/5.49 % (20712)------------------------------
% 29.02/5.49 % (20712)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.02/5.49 % (20712)Termination reason: Unknown
% 29.02/5.49 % (20712)Termination phase: Saturation
% 29.02/5.49
% 29.02/5.49 % (20712)Memory used [KB]: 7931
% 29.02/5.49 % (20712)Time elapsed: 0.168 s
% 29.02/5.49 % (20712)Instructions burned: 328 (million)
% 29.02/5.49 % (20712)------------------------------
% 29.02/5.49 % (20712)------------------------------
% 29.48/5.51 % (20717)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_20481 for (2959ds/90Mi)
% 29.48/5.55 % (20717)Instruction limit reached!
% 29.48/5.55 % (20717)------------------------------
% 29.48/5.55 % (20717)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.48/5.55 % (20717)Termination reason: Unknown
% 29.48/5.55 % (20717)Termination phase: Saturation
% 29.48/5.55
% 29.48/5.55 % (20717)Memory used [KB]: 5884
% 29.48/5.55 % (20717)Time elapsed: 0.049 s
% 29.48/5.55 % (20717)Instructions burned: 91 (million)
% 29.48/5.55 % (20717)------------------------------
% 29.48/5.55 % (20717)------------------------------
% 29.48/5.57 % (20718)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_20481 for (2958ds/593Mi)
% 29.48/5.58 % (20711)Instruction limit reached!
% 29.48/5.58 % (20711)------------------------------
% 29.48/5.58 % (20711)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.48/5.58 % (20711)Termination reason: Unknown
% 29.48/5.58 % (20711)Termination phase: Saturation
% 29.48/5.58
% 29.48/5.59 % (20711)Memory used [KB]: 7291
% 29.48/5.59 % (20711)Time elapsed: 0.308 s
% 29.48/5.59 % (20711)Instructions burned: 594 (million)
% 29.48/5.59 % (20711)------------------------------
% 29.48/5.59 % (20711)------------------------------
% 30.06/5.60 % (20719)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_20481 for (2958ds/1512Mi)
% 30.06/5.61 % (20719)Refutation not found, incomplete strategy
% 30.06/5.61 % (20719)------------------------------
% 30.06/5.61 % (20719)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.06/5.61 % (20719)Termination reason: Refutation not found, incomplete strategy
% 30.06/5.61
% 30.06/5.61
% 30.06/5.61 % (20719)Memory used [KB]: 5500
% 30.06/5.61 % (20719)Time elapsed: 0.006 s
% 30.06/5.61 % (20719)Instructions burned: 6 (million)
% 30.06/5.61 % (20719)------------------------------
% 30.06/5.61 % (20719)------------------------------
% 30.06/5.62 % (20720)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_20481 for (2958ds/569Mi)
% 30.06/5.63 % (20720)Refutation not found, incomplete strategy
% 30.06/5.63 % (20720)------------------------------
% 30.06/5.63 % (20720)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.06/5.63 % (20720)Termination reason: Refutation not found, incomplete strategy
% 30.06/5.63
% 30.06/5.63
% 30.06/5.63 % (20720)Memory used [KB]: 5500
% 30.06/5.63 % (20720)Time elapsed: 0.006 s
% 30.06/5.63 % (20720)Instructions burned: 7 (million)
% 30.06/5.63 % (20720)------------------------------
% 30.06/5.63 % (20720)------------------------------
% 30.06/5.65 % (20721)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_20481 for (2958ds/501Mi)
% 30.06/5.65 % (20721)Refutation not found, incomplete strategy
% 30.06/5.65 % (20721)------------------------------
% 30.06/5.65 % (20721)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.06/5.65 % (20721)Termination reason: Refutation not found, incomplete strategy
% 30.06/5.65
% 30.06/5.65
% 30.06/5.65 % (20721)Memory used [KB]: 5500
% 30.06/5.65 % (20721)Time elapsed: 0.006 s
% 30.06/5.65 % (20721)Instructions burned: 7 (million)
% 30.06/5.65 % (20721)------------------------------
% 30.06/5.65 % (20721)------------------------------
% 30.06/5.67 % (20722)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_20481 for (2958ds/562Mi)
% 30.32/5.75 % (20716)Instruction limit reached!
% 30.32/5.75 % (20716)------------------------------
% 30.32/5.75 % (20716)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.32/5.75 % (20716)Termination reason: Unknown
% 30.32/5.75 % (20716)Termination phase: Saturation
% 30.32/5.75
% 30.32/5.75 % (20716)Memory used [KB]: 6908
% 30.32/5.75 % (20716)Time elapsed: 0.279 s
% 30.32/5.75 % (20716)Instructions burned: 503 (million)
% 30.32/5.75 % (20716)------------------------------
% 30.32/5.75 % (20716)------------------------------
% 30.32/5.77 % (20723)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_20481 for (2957ds/406Mi)
% 30.32/5.77 % (20723)Refutation not found, incomplete strategy
% 30.32/5.77 % (20723)------------------------------
% 30.32/5.77 % (20723)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.32/5.77 % (20723)Termination reason: Refutation not found, incomplete strategy
% 30.32/5.77
% 30.32/5.77
% 30.32/5.77 % (20723)Memory used [KB]: 5628
% 30.32/5.77 % (20723)Time elapsed: 0.032 s
% 30.32/5.77 % (20723)Instructions burned: 16 (million)
% 30.32/5.77 % (20723)------------------------------
% 30.32/5.77 % (20723)------------------------------
% 30.32/5.79 % (20724)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_20481 for (2956ds/582Mi)
% 30.85/5.85 % (20718)Refutation not found, non-redundant clauses discarded% (20718)------------------------------
% 30.85/5.85 % (20718)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.85/5.85 % (20718)Termination reason: Refutation not found, non-redundant clauses discarded
% 30.85/5.85
% 30.85/5.85 % (20718)Memory used [KB]: 7419
% 30.85/5.85 % (20718)Time elapsed: 0.282 s
% 30.85/5.85 % (20718)Instructions burned: 552 (million)
% 30.85/5.85 % (20718)------------------------------
% 30.85/5.85 % (20718)------------------------------
% 30.85/5.87 % (20725)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_20481 for (2956ds/456Mi)
% 31.36/5.95 % (20722)Instruction limit reached!
% 31.36/5.95 % (20722)------------------------------
% 31.36/5.95 % (20722)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.36/5.95 % (20722)Termination reason: Unknown
% 31.36/5.95 % (20722)Termination phase: Saturation
% 31.36/5.95
% 31.36/5.95 % (20722)Memory used [KB]: 7036
% 31.36/5.95 % (20722)Time elapsed: 0.279 s
% 31.36/5.95 % (20722)Instructions burned: 562 (million)
% 31.36/5.95 % (20722)------------------------------
% 31.36/5.95 % (20722)------------------------------
% 31.36/5.96 % (20726)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_20481 for (2955ds/393Mi)
% 33.72/6.09 % (20724)Instruction limit reached!
% 33.72/6.09 % (20724)------------------------------
% 33.72/6.09 % (20724)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.72/6.09 % (20724)Termination reason: Unknown
% 33.72/6.09 % (20724)Termination phase: Saturation
% 33.72/6.09
% 33.72/6.09 % (20724)Memory used [KB]: 7419
% 33.72/6.09 % (20724)Time elapsed: 0.320 s
% 33.72/6.09 % (20724)Instructions burned: 582 (million)
% 33.72/6.09 % (20724)------------------------------
% 33.72/6.09 % (20724)------------------------------
% 33.72/6.11 % (20727)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_20481 for (2953ds/1335Mi)
% 33.72/6.11 % (20725)Instruction limit reached!
% 33.72/6.11 % (20725)------------------------------
% 33.72/6.11 % (20725)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.72/6.11 % (20725)Termination reason: Unknown
% 33.72/6.11 % (20725)Termination phase: Saturation
% 33.72/6.11
% 33.72/6.11 % (20725)Memory used [KB]: 6780
% 33.72/6.11 % (20725)Time elapsed: 0.265 s
% 33.72/6.11 % (20725)Instructions burned: 456 (million)
% 33.72/6.11 % (20725)------------------------------
% 33.72/6.11 % (20725)------------------------------
% 34.40/6.13 % (20728)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_20481 for (2953ds/3373Mi)
% 34.40/6.16 % (20726)Instruction limit reached!
% 34.40/6.16 % (20726)------------------------------
% 34.40/6.16 % (20726)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.40/6.16 % (20726)Termination reason: Unknown
% 34.40/6.16 % (20726)Termination phase: Saturation
% 34.40/6.16
% 34.40/6.16 % (20726)Memory used [KB]: 6524
% 34.40/6.16 % (20726)Time elapsed: 0.217 s
% 34.40/6.16 % (20726)Instructions burned: 393 (million)
% 34.40/6.16 % (20726)------------------------------
% 34.40/6.16 % (20726)------------------------------
% 34.40/6.17 % (20729)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_20481 for (2952ds/474Mi)
% 34.72/6.30 % (20714)Instruction limit reached!
% 34.72/6.30 % (20714)------------------------------
% 34.72/6.30 % (20714)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.72/6.30 % (20714)Termination reason: Unknown
% 34.72/6.30 % (20714)Termination phase: Saturation
% 34.72/6.30
% 34.72/6.30 % (20714)Memory used [KB]: 10106
% 34.72/6.30 % (20714)Time elapsed: 0.902 s
% 34.72/6.30 % (20714)Instructions burned: 1763 (million)
% 34.72/6.30 % (20714)------------------------------
% 34.72/6.30 % (20714)------------------------------
% 34.21/6.31 % (20730)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_20481 for (2951ds/157Mi)
% 34.21/6.38 % (20730)Instruction limit reached!
% 34.21/6.38 % (20730)------------------------------
% 34.21/6.38 % (20730)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.21/6.38 % (20730)Termination reason: Unknown
% 34.21/6.38 % (20730)Termination phase: Saturation
% 34.21/6.38
% 34.21/6.38 % (20730)Memory used [KB]: 6396
% 34.21/6.38 % (20730)Time elapsed: 0.071 s
% 34.21/6.38 % (20730)Instructions burned: 158 (million)
% 34.21/6.38 % (20730)------------------------------
% 34.21/6.38 % (20730)------------------------------
% 34.21/6.39 % (20700)Instruction limit reached!
% 34.21/6.39 % (20700)------------------------------
% 34.21/6.39 % (20700)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.21/6.39 % (20700)Termination reason: Unknown
% 34.21/6.39 % (20700)Termination phase: Saturation
% 34.21/6.39
% 34.21/6.39 % (20700)Memory used [KB]: 18166
% 34.21/6.39 % (20700)Time elapsed: 2.311 s
% 34.21/6.39 % (20700)Instructions burned: 4715 (million)
% 34.21/6.39 % (20700)------------------------------
% 34.21/6.39 % (20700)------------------------------
% 35.51/6.40 % (20729)Instruction limit reached!
% 35.51/6.40 % (20729)------------------------------
% 35.51/6.40 % (20729)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.51/6.40 % (20729)Termination reason: Unknown
% 35.51/6.40 % (20729)Termination phase: Saturation
% 35.51/6.40
% 35.51/6.40 % (20729)Memory used [KB]: 6908
% 35.51/6.40 % (20729)Time elapsed: 0.227 s
% 35.51/6.40 % (20729)Instructions burned: 474 (million)
% 35.51/6.40 % (20729)------------------------------
% 35.51/6.40 % (20729)------------------------------
% 35.51/6.40 % (20731)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_20481 for (2950ds/590Mi)
% 35.51/6.40 % (20732)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_20481 for (2950ds/104Mi)
% 35.51/6.42 % (20733)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_20481 for (2950ds/414Mi)
% 35.51/6.45 % (20732)Instruction limit reached!
% 35.51/6.45 % (20732)------------------------------
% 35.51/6.45 % (20732)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.51/6.45 % (20732)Termination reason: Unknown
% 35.51/6.45 % (20732)Termination phase: Saturation
% 35.51/6.45
% 35.51/6.45 % (20732)Memory used [KB]: 6012
% 35.51/6.45 % (20732)Time elapsed: 0.051 s
% 35.51/6.45 % (20732)Instructions burned: 105 (million)
% 35.51/6.45 % (20732)------------------------------
% 35.51/6.45 % (20732)------------------------------
% 35.51/6.47 % (20734)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_20481 for (2949ds/715Mi)
% 36.22/6.60 % (20733)Instruction limit reached!
% 36.22/6.60 % (20733)------------------------------
% 36.22/6.60 % (20733)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.22/6.60 % (20733)Termination reason: Unknown
% 36.22/6.60 % (20733)Termination phase: Saturation
% 36.22/6.60
% 36.22/6.60 % (20733)Memory used [KB]: 6652
% 36.22/6.60 % (20733)Time elapsed: 0.189 s
% 36.22/6.60 % (20733)Instructions burned: 416 (million)
% 36.22/6.60 % (20733)------------------------------
% 36.22/6.60 % (20733)------------------------------
% 36.22/6.61 % (20735)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_20481 for (2948ds/961Mi)
% 36.22/6.64 % (20731)Instruction limit reached!
% 36.22/6.64 % (20731)------------------------------
% 36.22/6.64 % (20731)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.22/6.64 % (20731)Termination reason: Unknown
% 36.22/6.64 % (20731)Termination phase: Saturation
% 36.22/6.64
% 36.22/6.64 % (20731)Memory used [KB]: 8315
% 36.22/6.64 % (20731)Time elapsed: 0.241 s
% 36.22/6.64 % (20731)Instructions burned: 590 (million)
% 36.22/6.64 % (20731)------------------------------
% 36.22/6.64 % (20731)------------------------------
% 36.22/6.65 % (20736)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_20481 for (2948ds/1213Mi)
% 36.88/6.74 % (20727)Instruction limit reached!
% 36.88/6.74 % (20727)------------------------------
% 36.88/6.74 % (20727)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.88/6.74 % (20727)Termination reason: Unknown
% 36.88/6.74 % (20727)Termination phase: Saturation
% 36.88/6.74
% 36.88/6.74 % (20727)Memory used [KB]: 9083
% 36.88/6.74 % (20727)Time elapsed: 0.654 s
% 36.88/6.74 % (20727)Instructions burned: 1337 (million)
% 36.88/6.74 % (20727)------------------------------
% 36.88/6.74 % (20727)------------------------------
% 36.88/6.75 % (20737)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_20481 for (2947ds/1979Mi)
% 36.88/6.75 % (20734)Instruction limit reached!
% 36.88/6.75 % (20734)------------------------------
% 36.88/6.75 % (20734)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.88/6.75 % (20734)Termination reason: Unknown
% 36.88/6.75 % (20734)Termination phase: Saturation
% 36.88/6.75
% 36.88/6.75 % (20734)Memory used [KB]: 1663
% 36.88/6.75 % (20734)Time elapsed: 0.282 s
% 36.88/6.75 % (20734)Instructions burned: 715 (million)
% 36.88/6.75 % (20734)------------------------------
% 36.88/6.75 % (20734)------------------------------
% 36.88/6.77 % (20738)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_20481 for (2946ds/481Mi)
% 38.23/6.91 % (20735)Instruction limit reached!
% 38.23/6.91 % (20735)------------------------------
% 38.23/6.91 % (20735)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.23/6.91 % (20735)Termination reason: Unknown
% 38.23/6.91 % (20735)Termination phase: Saturation
% 38.23/6.91
% 38.23/6.91 % (20735)Memory used [KB]: 8571
% 38.23/6.91 % (20735)Time elapsed: 0.298 s
% 38.23/6.91 % (20735)Instructions burned: 963 (million)
% 38.23/6.91 % (20735)------------------------------
% 38.23/6.91 % (20735)------------------------------
% 38.23/6.92 % (20739)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_20481 for (2945ds/783Mi)
% 38.23/6.97 % (20738)Instruction limit reached!
% 38.23/6.97 % (20738)------------------------------
% 38.23/6.97 % (20738)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.23/6.97 % (20738)Termination reason: Unknown
% 38.23/6.97 % (20738)Termination phase: Saturation
% 38.23/6.97
% 38.23/6.97 % (20738)Memory used [KB]: 6524
% 38.23/6.97 % (20738)Time elapsed: 0.201 s
% 38.23/6.97 % (20738)Instructions burned: 483 (million)
% 38.23/6.97 % (20738)------------------------------
% 38.23/6.97 % (20738)------------------------------
% 38.23/6.98 % (20740)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_20481 for (2944ds/432Mi)
% 38.23/6.98 % (20740)Refutation not found, incomplete strategy
% 38.23/6.98 % (20740)------------------------------
% 38.23/6.98 % (20740)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.23/6.98 % (20740)Termination reason: Refutation not found, incomplete strategy
% 38.23/6.98
% 38.23/6.98
% 38.23/6.98 % (20740)Memory used [KB]: 5500
% 38.23/6.98 % (20740)Time elapsed: 0.003 s
% 38.23/6.98 % (20740)Instructions burned: 5 (million)
% 38.23/6.98 % (20740)------------------------------
% 38.23/6.98 % (20740)------------------------------
% 38.23/6.99 % (20741)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_20481 for (2944ds/1670Mi)
% 40.68/7.02 % (20736)Instruction limit reached!
% 40.68/7.02 % (20736)------------------------------
% 40.68/7.02 % (20736)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 40.68/7.02 % (20736)Termination reason: Unknown
% 40.68/7.02 % (20736)Termination phase: Saturation
% 40.68/7.02
% 40.68/7.02 % (20736)Memory used [KB]: 7291
% 40.68/7.02 % (20736)Time elapsed: 0.376 s
% 40.68/7.02 % (20736)Instructions burned: 1214 (million)
% 40.68/7.02 % (20736)------------------------------
% 40.68/7.02 % (20736)------------------------------
% 40.68/7.03 % (20742)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_20481 for (2944ds/90Mi)
% 40.68/7.06 % (20742)Instruction limit reached!
% 40.68/7.06 % (20742)------------------------------
% 40.68/7.06 % (20742)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 40.68/7.06 % (20742)Termination reason: Unknown
% 40.68/7.06 % (20742)Termination phase: Saturation
% 40.68/7.06
% 40.68/7.06 % (20742)Memory used [KB]: 6012
% 40.68/7.06 % (20742)Time elapsed: 0.029 s
% 40.68/7.06 % (20742)Instructions burned: 91 (million)
% 40.68/7.06 % (20742)------------------------------
% 40.68/7.06 % (20742)------------------------------
% 40.68/7.07 % (20750)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_20481 for (2943ds/346Mi)
% 40.68/7.07 % (20750)Refutation not found, incomplete strategy
% 40.68/7.07 % (20750)------------------------------
% 40.68/7.07 % (20750)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 40.68/7.07 % (20750)Termination reason: Refutation not found, incomplete strategy
% 40.68/7.07
% 40.68/7.07
% 40.68/7.07 % (20750)Memory used [KB]: 5500
% 40.68/7.07 % (20750)Time elapsed: 0.004 s
% 40.68/7.07 % (20750)Instructions burned: 8 (million)
% 40.68/7.07 % (20750)------------------------------
% 40.68/7.07 % (20750)------------------------------
% 40.68/7.08 % (20756)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_20481 for (2943ds/401Mi)
% 41.35/7.17 % (20739)Instruction limit reached!
% 41.35/7.17 % (20739)------------------------------
% 41.35/7.17 % (20739)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.35/7.17 % (20739)Termination reason: Unknown
% 41.35/7.17 % (20739)Termination phase: Saturation
% 41.35/7.17
% 41.35/7.17 % (20739)Memory used [KB]: 7547
% 41.35/7.17 % (20739)Time elapsed: 0.250 s
% 41.35/7.17 % (20739)Instructions burned: 783 (million)
% 41.35/7.17 % (20739)------------------------------
% 41.35/7.17 % (20739)------------------------------
% 41.35/7.18 % (20799)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_20481 for (2942ds/6454Mi)
% 41.80/7.21 % (20756)Instruction limit reached!
% 41.80/7.21 % (20756)------------------------------
% 41.80/7.21 % (20756)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.80/7.21 % (20756)Termination reason: Unknown
% 41.80/7.21 % (20756)Termination phase: Saturation
% 41.80/7.21
% 41.80/7.21 % (20756)Memory used [KB]: 6780
% 41.80/7.21 % (20756)Time elapsed: 0.125 s
% 41.80/7.21 % (20756)Instructions burned: 403 (million)
% 41.80/7.21 % (20756)------------------------------
% 41.80/7.21 % (20756)------------------------------
% 41.80/7.22 % (20812)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_20481 for (2942ds/283Mi)
% 42.42/7.30 % (20812)Instruction limit reached!
% 42.42/7.30 % (20812)------------------------------
% 42.42/7.30 % (20812)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.42/7.30 % (20812)Termination reason: Unknown
% 42.42/7.30 % (20812)Termination phase: Saturation
% 42.42/7.30
% 42.42/7.30 % (20812)Memory used [KB]: 6652
% 42.42/7.30 % (20812)Time elapsed: 0.089 s
% 42.42/7.30 % (20812)Instructions burned: 283 (million)
% 42.42/7.30 % (20812)------------------------------
% 42.42/7.30 % (20812)------------------------------
% 42.42/7.31 % (20857)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_20481 for (2941ds/865Mi)
% 42.42/7.35 % (20737)Instruction limit reached!
% 42.42/7.35 % (20737)------------------------------
% 42.42/7.35 % (20737)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.42/7.35 % (20737)Termination reason: Unknown
% 42.42/7.35 % (20737)Termination phase: Saturation
% 42.42/7.35
% 42.42/7.35 % (20737)Memory used [KB]: 9083
% 42.42/7.35 % (20737)Time elapsed: 0.609 s
% 42.42/7.35 % (20737)Instructions burned: 1980 (million)
% 42.42/7.35 % (20737)------------------------------
% 42.42/7.35 % (20737)------------------------------
% 42.42/7.36 % (20728)Instruction limit reached!
% 42.42/7.36 % (20728)------------------------------
% 42.42/7.36 % (20728)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.42/7.36 % (20728)Termination reason: Unknown
% 42.42/7.36 % (20728)Termination phase: Saturation
% 42.42/7.36
% 42.42/7.36 % (20728)Memory used [KB]: 13560
% 42.42/7.36 % (20728)Time elapsed: 1.234 s
% 42.42/7.36 % (20728)Instructions burned: 3374 (million)
% 42.42/7.36 % (20728)------------------------------
% 42.42/7.36 % (20728)------------------------------
% 42.42/7.36 % (20886)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_20481 for (2940ds/4528Mi)
% 42.42/7.37 % (20886)Refutation not found, incomplete strategy
% 42.42/7.37 % (20886)------------------------------
% 42.42/7.37 % (20886)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.42/7.37 % (20886)Termination reason: Refutation not found, incomplete strategy
% 42.42/7.37
% 42.42/7.37
% 42.42/7.37 % (20886)Memory used [KB]: 1023
% 42.42/7.37 % (20886)Time elapsed: 0.002 s
% 42.42/7.37 % (20886)Instructions burned: 3 (million)
% 42.42/7.37 % (20886)------------------------------
% 42.42/7.37 % (20886)------------------------------
% 42.42/7.37 % (20889)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_20481 for (2940ds/1001Mi)
% 42.42/7.38 % (20890)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_20481 for (2940ds/102Mi)
% 42.98/7.41 % (20890)Instruction limit reached!
% 42.98/7.41 % (20890)------------------------------
% 42.98/7.41 % (20890)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.98/7.41 % (20890)Termination reason: Unknown
% 42.98/7.41 % (20890)Termination phase: Saturation
% 42.98/7.41
% 42.98/7.41 % (20890)Memory used [KB]: 6012
% 42.98/7.41 % (20890)Time elapsed: 0.033 s
% 42.98/7.41 % (20890)Instructions burned: 102 (million)
% 42.98/7.41 % (20890)------------------------------
% 42.98/7.41 % (20890)------------------------------
% 42.98/7.42 % (20908)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_20481 for (2940ds/952Mi)
% 42.98/7.49 % (20741)Instruction limit reached!
% 42.98/7.49 % (20741)------------------------------
% 42.98/7.49 % (20741)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.98/7.49 % (20741)Termination reason: Unknown
% 42.98/7.49 % (20741)Termination phase: Saturation
% 42.98/7.49
% 42.98/7.49 % (20741)Memory used [KB]: 8827
% 42.98/7.49 % (20741)Time elapsed: 0.500 s
% 42.98/7.49 % (20741)Instructions burned: 1670 (million)
% 42.98/7.49 % (20741)------------------------------
% 42.98/7.49 % (20741)------------------------------
% 42.98/7.50 % (20933)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_20481 for (2939ds/578Mi)
% 43.33/7.50 % (20713)Instruction limit reached!
% 43.33/7.50 % (20713)------------------------------
% 43.33/7.50 % (20713)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.33/7.50 % (20713)Termination reason: Unknown
% 43.33/7.50 % (20713)Termination phase: Saturation
% 43.33/7.50
% 43.33/7.50 % (20713)Memory used [KB]: 17654
% 43.33/7.50 % (20713)Time elapsed: 2.173 s
% 43.33/7.50 % (20713)Instructions burned: 5411 (million)
% 43.33/7.50 % (20713)------------------------------
% 43.33/7.50 % (20713)------------------------------
% 43.33/7.51 % (20939)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_20481 for (2939ds/643Mi)
% 43.33/7.55 % (20701)Instruction limit reached!
% 43.33/7.55 % (20701)------------------------------
% 43.33/7.55 % (20701)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.33/7.55 % (20701)Termination reason: Unknown
% 43.33/7.55 % (20701)Termination phase: Saturation
% 43.33/7.55
% 43.33/7.55 % (20701)Memory used [KB]: 13048
% 43.33/7.55 % (20701)Time elapsed: 3.410 s
% 43.33/7.55 % (20701)Instructions burned: 8250 (million)
% 43.33/7.55 % (20701)------------------------------
% 43.33/7.55 % (20701)------------------------------
% 43.33/7.56 % (20959)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_20481 for (2939ds/865Mi)
% 43.33/7.56 % (20959)Refutation not found, incomplete strategy
% 43.33/7.56 % (20959)------------------------------
% 43.33/7.56 % (20959)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.33/7.56 % (20959)Termination reason: Refutation not found, incomplete strategy
% 43.33/7.56
% 43.33/7.56
% 43.33/7.56 % (20959)Memory used [KB]: 5500
% 43.33/7.56 % (20959)Time elapsed: 0.004 s
% 43.33/7.56 % (20959)Instructions burned: 10 (million)
% 43.33/7.56 % (20959)------------------------------
% 43.33/7.56 % (20959)------------------------------
% 43.33/7.57 % (20969)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_20481 for (2938ds/1174Mi)
% 43.33/7.58 % (20857)Instruction limit reached!
% 43.33/7.58 % (20857)------------------------------
% 43.33/7.58 % (20857)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.33/7.58 % (20857)Termination reason: Unknown
% 43.33/7.58 % (20857)Termination phase: Saturation
% 43.33/7.58
% 43.33/7.58 % (20857)Memory used [KB]: 6780
% 43.33/7.58 % (20857)Time elapsed: 0.262 s
% 43.33/7.58 % (20857)Instructions burned: 866 (million)
% 43.33/7.58 % (20857)------------------------------
% 43.33/7.58 % (20857)------------------------------
% 43.33/7.58 % (20978)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_20481 for (2938ds/644Mi)
% 43.68/7.67 % (20933)Instruction limit reached!
% 43.68/7.67 % (20933)------------------------------
% 43.68/7.67 % (20933)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.68/7.67 % (20933)Termination reason: Unknown
% 43.68/7.67 % (20933)Termination phase: Saturation
% 43.68/7.67
% 43.68/7.67 % (20933)Memory used [KB]: 6012
% 43.68/7.67 % (20933)Time elapsed: 0.178 s
% 43.68/7.67 % (20933)Instructions burned: 581 (million)
% 43.68/7.67 % (20933)------------------------------
% 43.68/7.67 % (20933)------------------------------
% 43.68/7.68 % (20986)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_20481 for (2937ds/1201Mi)
% 43.68/7.68 % (20889)Instruction limit reached!
% 43.68/7.68 % (20889)------------------------------
% 43.68/7.68 % (20889)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.68/7.68 % (20889)Termination reason: Unknown
% 43.68/7.68 % (20889)Termination phase: Saturation
% 43.68/7.68
% 43.68/7.68 % (20889)Memory used [KB]: 8443
% 43.68/7.68 % (20889)Time elapsed: 0.310 s
% 43.68/7.68 % (20889)Instructions burned: 1004 (million)
% 43.68/7.68 % (20889)------------------------------
% 43.68/7.68 % (20889)------------------------------
% 43.68/7.69 % (20987)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_20481 for (2937ds/1046Mi)
% 44.20/7.71 % (20939)Instruction limit reached!
% 44.20/7.71 % (20939)------------------------------
% 44.20/7.71 % (20939)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.20/7.71 % (20939)Termination reason: Unknown
% 44.20/7.71 % (20939)Termination phase: Saturation
% 44.20/7.71
% 44.20/7.71 % (20939)Memory used [KB]: 7291
% 44.20/7.71 % (20939)Time elapsed: 0.197 s
% 44.20/7.71 % (20939)Instructions burned: 645 (million)
% 44.20/7.71 % (20939)------------------------------
% 44.20/7.71 % (20939)------------------------------
% 44.20/7.71 % (20908)Instruction limit reached!
% 44.20/7.71 % (20908)------------------------------
% 44.20/7.71 % (20908)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.20/7.71 % (20908)Termination reason: Unknown
% 44.20/7.71 % (20908)Termination phase: Saturation
% 44.20/7.71
% 44.20/7.71 % (20908)Memory used [KB]: 7803
% 44.20/7.71 % (20908)Time elapsed: 0.296 s
% 44.20/7.71 % (20908)Instructions burned: 952 (million)
% 44.20/7.71 % (20908)------------------------------
% 44.20/7.71 % (20908)------------------------------
% 44.20/7.72 % (20988)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_20481 for (2937ds/222Mi)
% 44.20/7.72 % (20989)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_20481 for (2937ds/68Mi)
% 44.20/7.75 % (20989)Instruction limit reached!
% 44.20/7.75 % (20989)------------------------------
% 44.20/7.75 % (20989)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.20/7.75 % (20989)Termination reason: Unknown
% 44.20/7.75 % (20989)Termination phase: Saturation
% 44.20/7.75
% 44.20/7.75 % (20989)Memory used [KB]: 5884
% 44.20/7.75 % (20989)Time elapsed: 0.024 s
% 44.20/7.75 % (20989)Instructions burned: 70 (million)
% 44.20/7.75 % (20989)------------------------------
% 44.20/7.75 % (20989)------------------------------
% 44.20/7.75 % (20990)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_20481 for (2936ds/454Mi)
% 44.20/7.77 % (20978)Instruction limit reached!
% 44.20/7.77 % (20978)------------------------------
% 44.20/7.77 % (20978)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.20/7.77 % (20978)Termination reason: Unknown
% 44.20/7.77 % (20978)Termination phase: Saturation
% 44.20/7.77
% 44.20/7.77 % (20978)Memory used [KB]: 7036
% 44.20/7.77 % (20978)Time elapsed: 0.190 s
% 44.20/7.77 % (20978)Instructions burned: 646 (million)
% 44.20/7.77 % (20978)------------------------------
% 44.20/7.77 % (20978)------------------------------
% 44.20/7.78 % (20991)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_20481 for (2936ds/360Mi)
% 44.20/7.79 % (20988)Instruction limit reached!
% 44.20/7.79 % (20988)------------------------------
% 44.20/7.79 % (20988)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.20/7.79 % (20988)Termination reason: Unknown
% 44.20/7.79 % (20988)Termination phase: Saturation
% 44.20/7.79
% 44.20/7.79 % (20988)Memory used [KB]: 6524
% 44.20/7.79 % (20988)Time elapsed: 0.090 s
% 44.20/7.79 % (20988)Instructions burned: 222 (million)
% 44.20/7.79 % (20988)------------------------------
% 44.20/7.79 % (20988)------------------------------
% 44.20/7.80 % (20992)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_20481 for (2936ds/157Mi)
% 45.01/7.84 % (20992)Instruction limit reached!
% 45.01/7.84 % (20992)------------------------------
% 45.01/7.84 % (20992)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.01/7.84 % (20992)Termination reason: Unknown
% 45.01/7.84 % (20992)Termination phase: Saturation
% 45.01/7.84
% 45.01/7.84 % (20992)Memory used [KB]: 6268
% 45.01/7.84 % (20992)Time elapsed: 0.046 s
% 45.01/7.84 % (20992)Instructions burned: 158 (million)
% 45.01/7.84 % (20992)------------------------------
% 45.01/7.84 % (20992)------------------------------
% 45.01/7.85 % (20993)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_20481 for (2935ds/5061Mi)
% 45.01/7.89 % (20991)Instruction limit reached!
% 45.01/7.89 % (20991)------------------------------
% 45.01/7.89 % (20991)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.01/7.89 % (20991)Termination reason: Unknown
% 45.01/7.89 % (20991)Termination phase: Saturation
% 45.01/7.89
% 45.01/7.89 % (20991)Memory used [KB]: 6908
% 45.01/7.89 % (20991)Time elapsed: 0.110 s
% 45.01/7.89 % (20991)Instructions burned: 362 (million)
% 45.01/7.89 % (20991)------------------------------
% 45.01/7.89 % (20991)------------------------------
% 45.01/7.89 % (20990)Instruction limit reached!
% 45.01/7.89 % (20990)------------------------------
% 45.01/7.89 % (20990)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.01/7.89 % (20990)Termination reason: Unknown
% 45.01/7.89 % (20990)Termination phase: Saturation
% 45.01/7.89
% 45.01/7.89 % (20990)Memory used [KB]: 11385
% 45.01/7.89 % (20990)Time elapsed: 0.141 s
% 45.01/7.89 % (20990)Instructions burned: 454 (million)
% 45.01/7.89 % (20990)------------------------------
% 45.01/7.89 % (20990)------------------------------
% 45.35/7.90 % (20995)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_20481 for (2935ds/2401Mi)
% 45.35/7.90 % (20996)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_20481 for (2935ds/5798Mi)
% 45.35/7.92 % (20987)First to succeed.
% 45.35/7.93 % (20987)Refutation found. Thanks to Tanya!
% 45.35/7.93 % SZS status Theorem for DTF2THF_20481
% 45.35/7.93 % SZS output start Proof for DTF2THF_20481
% 45.35/7.93 thf(type_def_5, type, g: $tType).
% 45.35/7.93 thf(func_def_0, type, g: $tType).
% 45.35/7.93 thf(func_def_1, type, cGROUP1: (g > g > g) > g > $o).
% 45.35/7.93 thf(func_def_2, type, cGROUP4: (g > g > g) > $o).
% 45.35/7.93 thf(func_def_3, type, cGRP_ASSOC: (g > g > g) > $o).
% 45.35/7.93 thf(func_def_4, type, cGRP_DIVISORS: (g > g > g) > $o).
% 45.35/7.93 thf(func_def_5, type, cGRP_INVERSE: (g > g > g) > g > $o).
% 45.35/7.93 thf(func_def_6, type, cGRP_UNIT: (g > g > g) > g > $o).
% 45.35/7.93 thf(func_def_23, type, sK1: g > g > g).
% 45.35/7.93 thf(func_def_24, type, sK2: g).
% 45.35/7.93 thf(func_def_25, type, sK3: g).
% 45.35/7.93 thf(func_def_26, type, sK4: g).
% 45.35/7.93 thf(func_def_27, type, sK5: g > g).
% 45.35/7.93 thf(func_def_28, type, sK6: g).
% 45.35/7.93 thf(func_def_29, type, sK7: g).
% 45.35/7.93 thf(func_def_30, type, sK8: g > g).
% 45.35/7.93 thf(func_def_31, type, sK9: g).
% 45.35/7.93 thf(func_def_32, type, sK10: g > g > g).
% 45.35/7.93 thf(func_def_33, type, sK11: g > g > g).
% 45.35/7.93 thf(func_def_34, type, sK12: g > g).
% 45.35/7.93 thf(f1981,plain,(
% 45.35/7.93 $false),
% 45.35/7.93 inference(avatar_sat_refutation,[status(thm)],[f96,f123,f131,f141,f146,f185,f191,f202,f205,f239,f258,f1847,f1855,f1866,f1913,f1936,f1980])).
% 45.35/7.93 thf(f1980,plain,(
% 45.35/7.93 ~spl0_4 | ~spl0_5 | ~spl0_9 | ~spl0_11),
% 45.35/7.93 inference(avatar_contradiction_clause,[status(thm)],[f1979])).
% 45.35/7.93 thf(f1979,plain,(
% 45.35/7.93 $false | (~spl0_4 | ~spl0_5 | ~spl0_9 | ~spl0_11)),
% 45.35/7.93 inference(equality_resolution,[status(thm)],[f1972])).
% 45.35/7.93 thf(f1972,plain,(
% 45.35/7.93 ( ! [X0 : g] : ((sK3 != X0)) ) | (~spl0_4 | ~spl0_5 | ~spl0_9 | ~spl0_11)),
% 45.35/7.93 inference(superposition,[status(thm)],[f95,f1924])).
% 45.35/7.93 thf(f1924,plain,(
% 45.35/7.93 ( ! [X0 : g,X1 : g] : (((sK1 @ X0 @ (sK1 @ (sK12 @ X0) @ X1)) = X1)) ) | (~spl0_5 | ~spl0_9 | ~spl0_11)),
% 45.35/7.93 inference(forward_demodulation,[status(thm)],[f1921,f119])).
% 45.35/7.93 thf(f119,plain,(
% 45.35/7.93 ( ! [X3 : g] : (((sK1 @ sK9 @ X3) = X3)) ) | ~spl0_5),
% 45.35/7.93 inference(avatar_component_clause,[status(thm)],[f118])).
% 45.35/7.93 thf(f118,definition,(
% 45.35/7.93 spl0_5 <=> ! [X3 : g] : ((sK1 @ sK9 @ X3) = X3)),
% 45.35/7.93 introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])).
% 45.35/7.93 thf(f1921,plain,(
% 45.35/7.93 ( ! [X0 : g,X1 : g] : (((sK1 @ sK9 @ X1) = (sK1 @ X0 @ (sK1 @ (sK12 @ X0) @ X1)))) ) | (~spl0_9 | ~spl0_11)),
% 45.35/7.93 inference(superposition,[status(thm)],[f163,f190])).
% 45.35/7.93 thf(f190,plain,(
% 45.35/7.93 ( ! [X3 : g] : (((sK1 @ X3 @ (sK12 @ X3)) = sK9)) ) | ~spl0_11),
% 45.35/7.93 inference(avatar_component_clause,[status(thm)],[f189])).
% 45.35/7.93 thf(f189,definition,(
% 45.35/7.93 spl0_11 <=> ! [X3 : g] : ((sK1 @ X3 @ (sK12 @ X3)) = sK9)),
% 45.35/7.93 introduced(definition,[new_symbols(naming,[spl0_11])],[avatar_definition])).
% 45.35/7.93 thf(f163,plain,(
% 45.35/7.93 ( ! [X3 : g,X4 : g,X5 : g] : (((sK1 @ (sK1 @ X5 @ X4) @ X3) = (sK1 @ X5 @ (sK1 @ X4 @ X3)))) ) | ~spl0_9),
% 45.35/7.93 inference(avatar_component_clause,[status(thm)],[f162])).
% 45.35/7.93 thf(f162,definition,(
% 45.35/7.93 spl0_9 <=> ! [X4 : g,X5 : g,X3 : g] : ((sK1 @ (sK1 @ X5 @ X4) @ X3) = (sK1 @ X5 @ (sK1 @ X4 @ X3)))),
% 45.35/7.93 introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])).
% 45.35/7.93 thf(f95,plain,(
% 45.35/7.93 ( ! [X4 : g] : ((sK3 != (sK1 @ sK2 @ X4))) ) | ~spl0_4),
% 45.35/7.93 inference(avatar_component_clause,[status(thm)],[f94])).
% 45.35/7.93 thf(f94,definition,(
% 45.35/7.93 spl0_4 <=> ! [X4 : g] : (sK3 != (sK1 @ sK2 @ X4))),
% 45.35/7.93 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 45.35/7.93 thf(f1936,plain,(
% 45.35/7.93 ~spl0_2 | ~spl0_7 | ~spl0_9 | ~spl0_10),
% 45.35/7.93 inference(avatar_contradiction_clause,[status(thm)],[f1935])).
% 45.35/7.93 thf(f1935,plain,(
% 45.35/7.93 $false | (~spl0_2 | ~spl0_7 | ~spl0_9 | ~spl0_10)),
% 45.35/7.93 inference(equality_resolution,[status(thm)],[f1934])).
% 45.35/7.93 thf(f1934,plain,(
% 45.35/7.93 ( ! [X0 : g] : ((sK3 != X0)) ) | (~spl0_2 | ~spl0_7 | ~spl0_9 | ~spl0_10)),
% 45.35/7.93 inference(superposition,[status(thm)],[f1926,f130])).
% 45.35/7.93 thf(f130,plain,(
% 45.35/7.93 ( ! [X3 : g] : (((sK1 @ X3 @ sK9) = X3)) ) | ~spl0_7),
% 45.35/7.93 inference(avatar_component_clause,[status(thm)],[f129])).
% 45.35/7.93 thf(f129,definition,(
% 45.35/7.93 spl0_7 <=> ! [X3 : g] : ((sK1 @ X3 @ sK9) = X3)),
% 45.35/7.93 introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])).
% 45.35/7.93 thf(f1926,plain,(
% 45.35/7.93 ( ! [X0 : g] : (((sK1 @ X0 @ sK9) != sK3)) ) | (~spl0_2 | ~spl0_9 | ~spl0_10)),
% 45.35/7.93 inference(superposition,[status(thm)],[f1915,f184])).
% 45.35/7.93 thf(f184,plain,(
% 45.35/7.93 ( ! [X3 : g] : (((sK1 @ (sK12 @ X3) @ X3) = sK9)) ) | ~spl0_10),
% 45.35/7.93 inference(avatar_component_clause,[status(thm)],[f183])).
% 45.35/7.93 thf(f183,definition,(
% 45.35/7.93 spl0_10 <=> ! [X3 : g] : ((sK1 @ (sK12 @ X3) @ X3) = sK9)),
% 45.35/7.93 introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition])).
% 45.35/7.93 thf(f1915,plain,(
% 45.35/7.93 ( ! [X0 : g,X1 : g] : (((sK1 @ X0 @ (sK1 @ X1 @ sK2)) != sK3)) ) | (~spl0_2 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f89,f163])).
% 45.35/7.93 thf(f89,plain,(
% 45.35/7.93 ( ! [X2 : g] : (((sK1 @ X2 @ sK2) != sK3)) ) | ~spl0_2),
% 45.35/7.93 inference(avatar_component_clause,[status(thm)],[f88])).
% 45.35/7.93 thf(f88,definition,(
% 45.35/7.93 spl0_2 <=> ! [X2 : g] : ((sK1 @ X2 @ sK2) != sK3)),
% 45.35/7.93 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 45.35/7.93 thf(f1913,plain,(
% 45.35/7.93 ~spl0_3 | ~spl0_5 | ~spl0_7 | ~spl0_10 | ~spl0_11),
% 45.35/7.93 inference(avatar_contradiction_clause,[status(thm)],[f1912])).
% 45.35/7.93 thf(f1912,plain,(
% 45.35/7.93 $false | (~spl0_3 | ~spl0_5 | ~spl0_7 | ~spl0_10 | ~spl0_11)),
% 45.35/7.93 inference(subsumption_resolution,[status(thm)],[f1911,f190])).
% 45.35/7.93 thf(f1911,plain,(
% 45.35/7.93 ((sK1 @ (sK8 @ sK9) @ (sK12 @ (sK8 @ sK9))) != sK9) | (~spl0_3 | ~spl0_5 | ~spl0_7 | ~spl0_10)),
% 45.35/7.93 inference(subsumption_resolution,[status(thm)],[f1908,f130])).
% 45.35/7.93 thf(f1908,plain,(
% 45.35/7.93 ((sK5 @ sK9) != (sK1 @ (sK5 @ sK9) @ sK9)) | ((sK1 @ (sK8 @ sK9) @ (sK12 @ (sK8 @ sK9))) != sK9) | (~spl0_3 | ~spl0_5 | ~spl0_10)),
% 45.35/7.93 inference(trivial_inequality_removal,[status(thm)],[f1907])).
% 45.35/7.93 thf(f1907,plain,(
% 45.35/7.93 ((sK1 @ (sK8 @ sK9) @ (sK12 @ (sK8 @ sK9))) != sK9) | (sK9 != sK9) | ((sK5 @ sK9) != (sK1 @ (sK5 @ sK9) @ sK9)) | ((sK5 @ sK9) != (sK5 @ sK9)) | (~spl0_3 | ~spl0_5 | ~spl0_10)),
% 45.35/7.93 inference(superposition,[status(thm)],[f1903,f119])).
% 45.35/7.93 thf(f1903,plain,(
% 45.35/7.93 ( ! [X0 : g] : (((sK5 @ X0) != (sK1 @ X0 @ (sK5 @ X0))) | (sK9 != X0) | ((sK5 @ X0) != (sK1 @ (sK5 @ X0) @ X0)) | ((sK1 @ (sK8 @ X0) @ (sK12 @ (sK8 @ X0))) != X0)) ) | (~spl0_3 | ~spl0_10)),
% 45.35/7.93 inference(superposition,[status(thm)],[f92,f184])).
% 45.35/7.93 thf(f92,plain,(
% 45.35/7.93 ( ! [X3 : g,X1 : g] : (((sK1 @ X3 @ (sK8 @ X1)) != X1) | ((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | ((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1))) | ((sK1 @ (sK8 @ X1) @ X3) != X1)) ) | ~spl0_3),
% 45.35/7.93 inference(avatar_component_clause,[status(thm)],[f91])).
% 45.35/7.93 thf(f91,definition,(
% 45.35/7.93 spl0_3 <=> ! [X1 : g,X3 : g] : (((sK1 @ X3 @ (sK8 @ X1)) != X1) | ((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1))) | ((sK1 @ (sK8 @ X1) @ X3) != X1) | ((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)))),
% 45.35/7.93 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 45.35/7.93 thf(f1866,plain,(
% 45.35/7.93 ~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_9),
% 45.35/7.93 inference(avatar_contradiction_clause,[status(thm)],[f1865])).
% 45.35/7.93 thf(f1865,plain,(
% 45.35/7.93 $false | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(equality_resolution,[status(thm)],[f1861])).
% 45.35/7.93 thf(f1861,plain,(
% 45.35/7.93 ( ! [X1 : g] : ((sK3 != X1)) ) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f89,f1571])).
% 45.35/7.93 thf(f1571,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK1 @ (sK1 @ X0 @ (sK11 @ X2 @ (sK10 @ X0 @ X1))) @ X2) = X1)) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(backward_demodulation,[status(thm)],[f381,f1565])).
% 45.35/7.93 thf(f1565,plain,(
% 45.35/7.93 ( ! [X3 : g,X0 : g,X1 : g] : (((sK1 @ X3 @ (sK11 @ X1 @ X0)) = (sK11 @ (sK11 @ X0 @ X1) @ X3))) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(forward_demodulation,[status(thm)],[f1547,f353])).
% 45.35/7.93 thf(f353,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK11 @ X0 @ X1) = (sK1 @ X1 @ (sK10 @ X0 @ (sK10 @ X2 @ X2))))) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f270,f328])).
% 45.35/7.93 thf(f328,plain,(
% 45.35/7.93 ( ! [X0 : g,X1 : g] : (((sK1 @ X1 @ (sK10 @ X0 @ X0)) = X1)) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f140,f270])).
% 45.35/7.93 thf(f140,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((sK1 @ (sK11 @ X1 @ X2) @ X1) = X2)) ) | ~spl0_8),
% 45.35/7.93 inference(avatar_component_clause,[status(thm)],[f139])).
% 45.35/7.93 thf(f139,definition,(
% 45.35/7.93 spl0_8 <=> ! [X2 : g,X1 : g] : ((sK1 @ (sK11 @ X1 @ X2) @ X1) = X2)),
% 45.35/7.93 introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition])).
% 45.35/7.93 thf(f270,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK1 @ X2 @ (sK10 @ X0 @ X1)) = (sK1 @ (sK11 @ X0 @ X2) @ X1))) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f252,f122])).
% 45.35/7.93 thf(f122,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((sK1 @ X1 @ (sK10 @ X1 @ X2)) = X2)) ) | ~spl0_6),
% 45.35/7.93 inference(avatar_component_clause,[status(thm)],[f121])).
% 45.35/7.93 thf(f121,definition,(
% 45.35/7.93 spl0_6 <=> ! [X2 : g,X1 : g] : ((sK1 @ X1 @ (sK10 @ X1 @ X2)) = X2)),
% 45.35/7.93 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])).
% 45.35/7.93 thf(f252,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK1 @ (sK11 @ X0 @ X1) @ (sK1 @ X0 @ X2)) = (sK1 @ X1 @ X2))) ) | (~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f163,f140])).
% 45.35/7.93 thf(f1547,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X0 : g,X1 : g] : (((sK1 @ X3 @ (sK1 @ X0 @ (sK10 @ X1 @ (sK10 @ X2 @ X2)))) = (sK11 @ (sK11 @ X0 @ X1) @ X3))) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f353,f780])).
% 45.35/7.93 thf(f780,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK1 @ X1 @ (sK10 @ X0 @ X2)) = (sK10 @ (sK11 @ X1 @ X0) @ X2))) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(forward_demodulation,[status(thm)],[f770,f270])).
% 45.35/7.93 thf(f770,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK1 @ (sK11 @ X0 @ X1) @ X2) = (sK10 @ (sK11 @ X1 @ X0) @ X2))) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f305,f324])).
% 45.35/7.93 thf(f324,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK1 @ X1 @ (sK10 @ X0 @ (sK10 @ (sK11 @ X0 @ X1) @ X2))) = X2)) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f270,f122])).
% 45.35/7.93 thf(f305,plain,(
% 45.35/7.93 ( ! [X3 : g,X0 : g,X1 : g] : (((sK1 @ (sK11 @ X0 @ X1) @ (sK1 @ X0 @ (sK10 @ X1 @ X3))) = X3)) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(forward_demodulation,[status(thm)],[f304,f300])).
% 45.35/7.93 thf(f300,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X0 : g,X1 : g] : (((sK1 @ X3 @ (sK10 @ X0 @ X2)) = (sK1 @ X3 @ (sK1 @ X1 @ (sK10 @ (sK1 @ X0 @ X1) @ X2))))) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(forward_demodulation,[status(thm)],[f291,f270])).
% 45.35/7.93 thf(f291,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X0 : g,X1 : g] : (((sK1 @ X3 @ (sK1 @ X1 @ (sK10 @ (sK1 @ X0 @ X1) @ X2))) = (sK1 @ (sK11 @ X0 @ X3) @ X2))) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f252,f254])).
% 45.35/7.93 thf(f254,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK1 @ X0 @ (sK1 @ X1 @ (sK10 @ (sK1 @ X0 @ X1) @ X2))) = X2)) ) | (~spl0_6 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f163,f122])).
% 45.35/7.93 thf(f304,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X0 : g,X1 : g] : (((sK1 @ (sK11 @ X0 @ X1) @ (sK1 @ X0 @ (sK1 @ X2 @ (sK10 @ (sK1 @ X1 @ X2) @ X3)))) = X3)) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(forward_demodulation,[status(thm)],[f285,f163])).
% 45.35/7.93 thf(f285,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X0 : g,X1 : g] : (((sK1 @ (sK11 @ X0 @ X1) @ (sK1 @ (sK1 @ X0 @ X2) @ (sK10 @ (sK1 @ X1 @ X2) @ X3))) = X3)) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f254,f252])).
% 45.35/7.93 thf(f381,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK1 @ (sK11 @ (sK11 @ (sK10 @ X0 @ X1) @ X2) @ X0) @ X2) = X1)) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f305,f140])).
% 45.35/7.93 thf(f1855,plain,(
% 45.35/7.93 ~spl0_4 | ~spl0_6),
% 45.35/7.93 inference(avatar_contradiction_clause,[status(thm)],[f1854])).
% 45.35/7.93 thf(f1854,plain,(
% 45.35/7.93 $false | (~spl0_4 | ~spl0_6)),
% 45.35/7.93 inference(equality_resolution,[status(thm)],[f1850])).
% 45.35/7.93 thf(f1850,plain,(
% 45.35/7.93 ( ! [X0 : g] : ((sK3 != X0)) ) | (~spl0_4 | ~spl0_6)),
% 45.35/7.93 inference(superposition,[status(thm)],[f95,f122])).
% 45.35/7.93 thf(f1847,plain,(
% 45.35/7.93 ~spl0_3 | ~spl0_6 | ~spl0_8 | ~spl0_9),
% 45.35/7.93 inference(avatar_contradiction_clause,[status(thm)],[f1846])).
% 45.35/7.93 thf(f1846,plain,(
% 45.35/7.93 $false | (~spl0_3 | ~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(subsumption_resolution,[status(thm)],[f1845,f415])).
% 45.35/7.93 thf(f415,plain,(
% 45.35/7.93 ( ! [X0 : g,X1 : g] : (((sK11 @ X0 @ X0) = (sK10 @ X1 @ X1))) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f328,f378])).
% 45.35/7.93 thf(f378,plain,(
% 45.35/7.93 ( ! [X0 : g,X1 : g] : (((sK1 @ (sK11 @ X0 @ X0) @ X1) = X1)) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f305,f122])).
% 45.35/7.93 thf(f1845,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((sK11 @ X1 @ X1) != (sK10 @ X2 @ X2))) ) | (~spl0_3 | ~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(subsumption_resolution,[status(thm)],[f1816,f1437])).
% 45.35/7.93 thf(f1437,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK1 @ X1 @ (sK11 @ X0 @ (sK10 @ X1 @ X0))) = (sK11 @ X2 @ X2))) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f415,f774])).
% 45.35/7.93 thf(f774,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK1 @ X0 @ X2) = (sK10 @ (sK11 @ X1 @ (sK10 @ X0 @ X1)) @ X2))) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f310,f324])).
% 45.35/7.93 thf(f310,plain,(
% 45.35/7.93 ( ! [X3 : g,X0 : g,X1 : g] : (((sK1 @ X0 @ (sK1 @ (sK10 @ X0 @ X1) @ (sK10 @ X1 @ X3))) = X3)) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(forward_demodulation,[status(thm)],[f309,f300])).
% 45.35/7.93 thf(f309,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X0 : g,X1 : g] : (((sK1 @ X0 @ (sK1 @ (sK10 @ X0 @ X1) @ (sK1 @ X2 @ (sK10 @ (sK1 @ X1 @ X2) @ X3)))) = X3)) ) | (~spl0_6 | ~spl0_9)),
% 45.35/7.93 inference(forward_demodulation,[status(thm)],[f281,f163])).
% 45.35/7.93 thf(f281,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X0 : g,X1 : g] : (((sK1 @ X0 @ (sK1 @ (sK1 @ (sK10 @ X0 @ X1) @ X2) @ (sK10 @ (sK1 @ X1 @ X2) @ X3))) = X3)) ) | (~spl0_6 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f254,f251])).
% 45.35/7.93 thf(f251,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK1 @ X0 @ (sK1 @ (sK10 @ X0 @ X1) @ X2)) = (sK1 @ X1 @ X2))) ) | (~spl0_6 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f163,f122])).
% 45.35/7.93 thf(f1816,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK1 @ (sK8 @ (sK11 @ X1 @ X1)) @ (sK11 @ X0 @ (sK10 @ (sK8 @ (sK11 @ X1 @ X1)) @ X0))) != (sK11 @ X1 @ X1)) | ((sK11 @ X1 @ X1) != (sK10 @ X2 @ X2))) ) | (~spl0_3 | ~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f978,f930])).
% 45.35/7.93 thf(f930,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK1 @ (sK11 @ X2 @ (sK10 @ X0 @ X2)) @ X0) = (sK10 @ X1 @ X1))) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f379,f328])).
% 45.35/7.93 thf(f379,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK1 @ (sK11 @ X0 @ (sK10 @ X1 @ X0)) @ (sK1 @ X1 @ X2)) = X2)) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f305,f261])).
% 45.35/7.93 thf(f261,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK1 @ X1 @ (sK10 @ (sK10 @ X0 @ X1) @ X2)) = (sK1 @ X0 @ X2))) ) | (~spl0_6 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f251,f122])).
% 45.35/7.93 thf(f978,plain,(
% 45.35/7.93 ( ! [X0 : g,X1 : g] : (((sK11 @ X0 @ X0) != (sK1 @ X1 @ (sK8 @ (sK11 @ X0 @ X0)))) | ((sK11 @ X0 @ X0) != (sK1 @ (sK8 @ (sK11 @ X0 @ X0)) @ X1))) ) | (~spl0_3 | ~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f927,f412])).
% 45.35/7.93 thf(f412,plain,(
% 45.35/7.93 ( ! [X0 : g,X1 : g] : (((sK10 @ (sK11 @ X0 @ X0) @ X1) = X1)) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f122,f378])).
% 45.35/7.93 thf(f927,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((sK1 @ X2 @ (sK8 @ (sK10 @ X1 @ X1))) != (sK10 @ X1 @ X1)) | ((sK1 @ (sK8 @ (sK10 @ X1 @ X1)) @ X2) != (sK10 @ X1 @ X1))) ) | (~spl0_3 | ~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(forward_demodulation,[status(thm)],[f913,f439])).
% 45.35/7.93 thf(f439,plain,(
% 45.35/7.93 ( ! [X0 : g,X1 : g] : (((sK11 @ (sK11 @ X0 @ X0) @ X1) = X1)) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f344,f412])).
% 45.35/7.93 thf(f344,plain,(
% 45.35/7.93 ( ! [X0 : g,X1 : g] : (((sK11 @ (sK10 @ X0 @ X0) @ X1) = X1)) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f328,f140])).
% 45.35/7.93 thf(f913,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK1 @ X2 @ (sK8 @ (sK10 @ X1 @ X1))) != (sK10 @ X1 @ X1)) | ((sK1 @ (sK8 @ (sK10 @ X1 @ X1)) @ (sK11 @ (sK11 @ X0 @ X0) @ X2)) != (sK10 @ X1 @ X1))) ) | (~spl0_3 | ~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f506,f412])).
% 45.35/7.93 thf(f506,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK10 @ X0 @ X0) != (sK1 @ X2 @ (sK10 @ X1 @ (sK8 @ (sK10 @ X0 @ X0))))) | ((sK10 @ X0 @ X0) != (sK1 @ (sK8 @ (sK10 @ X0 @ X0)) @ (sK11 @ X1 @ X2)))) ) | (~spl0_3 | ~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(subsumption_resolution,[status(thm)],[f500,f328])).
% 45.35/7.93 thf(f500,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK10 @ X0 @ X0) != (sK1 @ X2 @ (sK10 @ X1 @ (sK8 @ (sK10 @ X0 @ X0))))) | ((sK10 @ X0 @ X0) != (sK1 @ (sK8 @ (sK10 @ X0 @ X0)) @ (sK11 @ X1 @ X2))) | ((sK5 @ (sK10 @ X0 @ X0)) != (sK1 @ (sK5 @ (sK10 @ X0 @ X0)) @ (sK10 @ X0 @ X0)))) ) | (~spl0_3 | ~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(trivial_inequality_removal,[status(thm)],[f496])).
% 45.35/7.93 thf(f496,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK10 @ X0 @ X0) != (sK1 @ X2 @ (sK10 @ X1 @ (sK8 @ (sK10 @ X0 @ X0))))) | ((sK10 @ X0 @ X0) != (sK1 @ (sK8 @ (sK10 @ X0 @ X0)) @ (sK11 @ X1 @ X2))) | ((sK5 @ (sK10 @ X0 @ X0)) != (sK5 @ (sK10 @ X0 @ X0))) | ((sK5 @ (sK10 @ X0 @ X0)) != (sK1 @ (sK5 @ (sK10 @ X0 @ X0)) @ (sK10 @ X0 @ X0)))) ) | (~spl0_3 | ~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f335,f400])).
% 45.35/7.93 thf(f400,plain,(
% 45.35/7.93 ( ! [X0 : g,X1 : g] : (((sK1 @ (sK10 @ X0 @ X0) @ X1) = X1)) ) | (~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f378,f344])).
% 45.35/7.93 thf(f335,plain,(
% 45.35/7.93 ( ! [X2 : g,X0 : g,X1 : g] : (((sK1 @ X2 @ (sK5 @ X2)) != (sK5 @ X2)) | ((sK1 @ (sK8 @ X2) @ (sK11 @ X0 @ X1)) != X2) | ((sK1 @ X1 @ (sK10 @ X0 @ (sK8 @ X2))) != X2) | ((sK1 @ (sK5 @ X2) @ X2) != (sK5 @ X2))) ) | (~spl0_3 | ~spl0_6 | ~spl0_8 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f92,f270])).
% 45.35/7.93 thf(f258,plain,(
% 45.35/7.93 spl0_1 | ~spl0_9),
% 45.35/7.93 inference(avatar_contradiction_clause,[status(thm)],[f257])).
% 45.35/7.93 thf(f257,plain,(
% 45.35/7.93 $false | (spl0_1 | ~spl0_9)),
% 45.35/7.93 inference(trivial_inequality_removal,[status(thm)],[f255])).
% 45.35/7.93 thf(f255,plain,(
% 45.35/7.93 ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ sK7 @ (sK1 @ sK6 @ sK4))) | (spl0_1 | ~spl0_9)),
% 45.35/7.93 inference(superposition,[status(thm)],[f86,f163])).
% 45.35/7.93 thf(f86,plain,(
% 45.35/7.93 ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4)) | spl0_1),
% 45.35/7.93 inference(avatar_component_clause,[status(thm)],[f84])).
% 45.35/7.93 thf(f84,definition,(
% 45.35/7.93 spl0_1 <=> ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) = (sK1 @ (sK1 @ sK7 @ sK6) @ sK4))),
% 45.35/7.93 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 45.35/7.93 thf(f239,plain,(
% 45.35/7.93 spl0_9 | spl0_9),
% 45.35/7.93 inference(avatar_split_clause,[status(thm)],[f238,f162,f162])).
% 45.35/7.93 thf(f238,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g,X6 : g,X4 : g,X5 : g] : (((sK1 @ (sK1 @ X3 @ X2) @ X1) = (sK1 @ X3 @ (sK1 @ X2 @ X1))) | ((sK1 @ (sK1 @ X6 @ X5) @ X4) = (sK1 @ X6 @ (sK1 @ X5 @ X4)))) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f237])).
% 45.35/7.93 thf(f237,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g,X6 : g,X4 : g,X5 : g] : (($true = ((sK1 @ (sK1 @ X6 @ X5) @ X4) = (sK1 @ X6 @ (sK1 @ X5 @ X4)))) | ((sK1 @ (sK1 @ X3 @ X2) @ X1) = (sK1 @ X3 @ (sK1 @ X2 @ X1)))) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f236])).
% 45.35/7.93 thf(f236,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g,X6 : g,X4 : g,X5 : g] : (($true = ((^[Y0 : g]: ((sK1 @ (sK1 @ Y0 @ X5) @ X4) = (sK1 @ Y0 @ (sK1 @ X5 @ X4)))) @ X6)) | ((sK1 @ (sK1 @ X3 @ X2) @ X1) = (sK1 @ X3 @ (sK1 @ X2 @ X1)))) )),
% 45.35/7.93 inference(pi_clausification,[status(thm)],[f235])).
% 45.35/7.93 thf(f235,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g,X4 : g,X5 : g] : (((sK1 @ (sK1 @ X3 @ X2) @ X1) = (sK1 @ X3 @ (sK1 @ X2 @ X1))) | ($true = (!! @ g @ (^[Y0 : g]: ((sK1 @ (sK1 @ Y0 @ X5) @ X4) = (sK1 @ Y0 @ (sK1 @ X5 @ X4))))))) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f234])).
% 45.35/7.93 thf(f234,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g,X4 : g,X5 : g] : (((sK1 @ (sK1 @ X3 @ X2) @ X1) = (sK1 @ X3 @ (sK1 @ X2 @ X1))) | (((^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((sK1 @ (sK1 @ Y1 @ Y0) @ X4) = (sK1 @ Y1 @ (sK1 @ Y0 @ X4)))))) @ X5) = $true)) )),
% 45.35/7.93 inference(pi_clausification,[status(thm)],[f233])).
% 45.35/7.93 thf(f233,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g,X4 : g] : (($true = (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((sK1 @ (sK1 @ Y1 @ Y0) @ X4) = (sK1 @ Y1 @ (sK1 @ Y0 @ X4)))))))) | ((sK1 @ (sK1 @ X3 @ X2) @ X1) = (sK1 @ X3 @ (sK1 @ X2 @ X1)))) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f232])).
% 45.35/7.93 thf(f232,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g,X4 : g] : (((sK1 @ (sK1 @ X3 @ X2) @ X1) = (sK1 @ X3 @ (sK1 @ X2 @ X1))) | (((^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))) @ X4) = $true)) )),
% 45.35/7.93 inference(pi_clausification,[status(thm)],[f231])).
% 45.35/7.93 thf(f231,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((sK1 @ (sK1 @ X3 @ X2) @ X1) = (sK1 @ X3 @ (sK1 @ X2 @ X1))) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) = $true)) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f230])).
% 45.35/7.93 thf(f230,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : ((((sK1 @ (sK1 @ X3 @ X2) @ X1) = (sK1 @ X3 @ (sK1 @ X2 @ X1))) = $true) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) = $true)) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f229])).
% 45.35/7.93 thf(f229,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : ((((^[Y0 : g]: ((sK1 @ (sK1 @ Y0 @ X2) @ X1) = (sK1 @ Y0 @ (sK1 @ X2 @ X1)))) @ X3) = $true) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) = $true)) )),
% 45.35/7.93 inference(pi_clausification,[status(thm)],[f214])).
% 45.35/7.93 thf(f214,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((!! @ g @ (^[Y0 : g]: ((sK1 @ (sK1 @ Y0 @ X2) @ X1) = (sK1 @ Y0 @ (sK1 @ X2 @ X1))))) = $true) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) = $true)) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f213])).
% 45.35/7.93 thf(f213,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : ((((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = sK9) & ((sK1 @ Y1 @ Y0) = sK9)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) = $true) | ((!! @ g @ (^[Y0 : g]: ((sK1 @ (sK1 @ Y0 @ X2) @ X1) = (sK1 @ Y0 @ (sK1 @ X2 @ X1))))) = $true)) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f211])).
% 45.35/7.93 thf(f211,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (($true = (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = sK9) & ((sK1 @ Y1 @ Y0) = sK9)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) & (!! @ g @ (^[Y0 : g]: (((sK1 @ Y0 @ sK9) = Y0) & ((sK1 @ sK9 @ Y0) = Y0)))))) | ((!! @ g @ (^[Y0 : g]: ((sK1 @ (sK1 @ Y0 @ X2) @ X1) = (sK1 @ Y0 @ (sK1 @ X2 @ X1))))) = $true)) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f210])).
% 45.35/7.93 thf(f210,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (($true = (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = sK9) & ((sK1 @ Y1 @ Y0) = sK9)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) & (!! @ g @ (^[Y0 : g]: (((sK1 @ Y0 @ sK9) = Y0) & ((sK1 @ sK9 @ Y0) = Y0)))))) | (((^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((sK1 @ (sK1 @ Y1 @ Y0) @ X1) = (sK1 @ Y1 @ (sK1 @ Y0 @ X1)))))) @ X2) = $true)) )),
% 45.35/7.93 inference(pi_clausification,[status(thm)],[f209])).
% 45.35/7.93 thf(f209,plain,(
% 45.35/7.93 ( ! [X1 : g] : (((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((sK1 @ (sK1 @ Y1 @ Y0) @ X1) = (sK1 @ Y1 @ (sK1 @ Y0 @ X1))))))) = $true) | ($true = (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = sK9) & ((sK1 @ Y1 @ Y0) = sK9)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) & (!! @ g @ (^[Y0 : g]: (((sK1 @ Y0 @ sK9) = Y0) & ((sK1 @ sK9 @ Y0) = Y0))))))) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f208])).
% 45.35/7.93 thf(f208,plain,(
% 45.35/7.93 ( ! [X1 : g] : (($true = ((^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))) @ X1)) | ($true = (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = sK9) & ((sK1 @ Y1 @ Y0) = sK9)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) & (!! @ g @ (^[Y0 : g]: (((sK1 @ Y0 @ sK9) = Y0) & ((sK1 @ sK9 @ Y0) = Y0))))))) )),
% 45.35/7.93 inference(pi_clausification,[status(thm)],[f207])).
% 45.35/7.93 thf(f207,plain,(
% 45.35/7.93 ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) = $true) | ($true = (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = sK9) & ((sK1 @ Y1 @ Y0) = sK9)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) & (!! @ g @ (^[Y0 : g]: (((sK1 @ Y0 @ sK9) = Y0) & ((sK1 @ sK9 @ Y0) = Y0))))))),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f206])).
% 45.35/7.93 thf(f206,plain,(
% 45.35/7.93 ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) = $true) | (((^[Y0 : g]: (((!! @ g @ (^[Y1 : g]: (?? @ g @ (^[Y2 : g]: (((sK1 @ Y1 @ Y2) = Y0) & ((sK1 @ Y2 @ Y1) = Y0)))))) & (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: ((sK1 @ (sK1 @ Y3 @ Y2) @ Y1) = (sK1 @ Y3 @ (sK1 @ Y2 @ Y1)))))))))) & (!! @ g @ (^[Y1 : g]: (((sK1 @ Y1 @ Y0) = Y1) & ((sK1 @ Y0 @ Y1) = Y1)))))) @ sK9) = $true)),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f98])).
% 45.35/7.93 thf(f98,plain,(
% 45.35/7.93 ($true = (?? @ g @ (^[Y0 : g]: (((!! @ g @ (^[Y1 : g]: (?? @ g @ (^[Y2 : g]: (((sK1 @ Y1 @ Y2) = Y0) & ((sK1 @ Y2 @ Y1) = Y0)))))) & (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: ((sK1 @ (sK1 @ Y3 @ Y2) @ Y1) = (sK1 @ Y3 @ (sK1 @ Y2 @ Y1)))))))))) & (!! @ g @ (^[Y1 : g]: (((sK1 @ Y1 @ Y0) = Y1) & ((sK1 @ Y0 @ Y1) = Y1)))))))) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) = $true)),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f38])).
% 45.35/7.93 thf(f38,plain,(
% 45.35/7.93 (((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((?? @ g @ (^[Y2 : g]: ((sK1 @ Y0 @ Y2) = Y1))) & (?? @ g @ (^[Y2 : g]: ((sK1 @ Y2 @ Y0) = Y1))))))))) = $true) | ($true = (?? @ g @ (^[Y0 : g]: (((!! @ g @ (^[Y1 : g]: (?? @ g @ (^[Y2 : g]: (((sK1 @ Y1 @ Y2) = Y0) & ((sK1 @ Y2 @ Y1) = Y0)))))) & (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: ((sK1 @ (sK1 @ Y3 @ Y2) @ Y1) = (sK1 @ Y3 @ (sK1 @ Y2 @ Y1)))))))))) & (!! @ g @ (^[Y1 : g]: (((sK1 @ Y1 @ Y0) = Y1) & ((sK1 @ Y0 @ Y1) = Y1))))))))),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f37])).
% 45.35/7.93 thf(f37,plain,(
% 45.35/7.93 (((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((?? @ g @ (^[Y2 : g]: ((sK1 @ Y0 @ Y2) = Y1))) & (?? @ g @ (^[Y2 : g]: ((sK1 @ Y2 @ Y0) = Y1))))))))) != (?? @ g @ (^[Y0 : g]: (((!! @ g @ (^[Y1 : g]: (?? @ g @ (^[Y2 : g]: (((sK1 @ Y1 @ Y2) = Y0) & ((sK1 @ Y2 @ Y1) = Y0)))))) & (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: ((sK1 @ (sK1 @ Y3 @ Y2) @ Y1) = (sK1 @ Y3 @ (sK1 @ Y2 @ Y1)))))))))) & (!! @ g @ (^[Y1 : g]: (((sK1 @ Y1 @ Y0) = Y1) & ((sK1 @ Y0 @ Y1) = Y1))))))))),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f36])).
% 45.35/7.93 thf(f36,plain,(
% 45.35/7.93 (((?? @ g @ (^[Y0 : g]: (((!! @ g @ (^[Y1 : g]: (?? @ g @ (^[Y2 : g]: (((sK1 @ Y1 @ Y2) = Y0) & ((sK1 @ Y2 @ Y1) = Y0)))))) & (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: ((sK1 @ (sK1 @ Y3 @ Y2) @ Y1) = (sK1 @ Y3 @ (sK1 @ Y2 @ Y1)))))))))) & (!! @ g @ (^[Y1 : g]: (((sK1 @ Y1 @ Y0) = Y1) & ((sK1 @ Y0 @ Y1) = Y1))))))) = ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((?? @ g @ (^[Y2 : g]: ((sK1 @ Y0 @ Y2) = Y1))) & (?? @ g @ (^[Y2 : g]: ((sK1 @ Y2 @ Y0) = Y1)))))))))) = $false)),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f35])).
% 45.35/7.93 thf(f35,plain,(
% 45.35/7.93 (((^[Y0 : g > g > g]: ((?? @ g @ (^[Y1 : g]: (((!! @ g @ (^[Y2 : g]: (?? @ g @ (^[Y3 : g]: (((Y0 @ Y2 @ Y3) = Y1) & ((Y0 @ Y3 @ Y2) = Y1)))))) & (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: (!! @ g @ (^[Y4 : g]: ((Y0 @ (Y0 @ Y4 @ Y3) @ Y2) = (Y0 @ Y4 @ (Y0 @ Y3 @ Y2)))))))))) & (!! @ g @ (^[Y2 : g]: (((Y0 @ Y2 @ Y1) = Y2) & ((Y0 @ Y1 @ Y2) = Y2))))))) = ((!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: ((Y0 @ (Y0 @ Y3 @ Y2) @ Y1) = (Y0 @ Y3 @ (Y0 @ Y2 @ Y1))))))))) & (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((?? @ g @ (^[Y3 : g]: ((Y0 @ Y1 @ Y3) = Y2))) & (?? @ g @ (^[Y3 : g]: ((Y0 @ Y3 @ Y1) = Y2))))))))))) @ sK1) = $false)),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f34])).
% 45.35/7.93 thf(f34,plain,(
% 45.35/7.93 ((!! @ (g > g > g) @ (^[Y0 : g > g > g]: ((?? @ g @ (^[Y1 : g]: (((!! @ g @ (^[Y2 : g]: (?? @ g @ (^[Y3 : g]: (((Y0 @ Y2 @ Y3) = Y1) & ((Y0 @ Y3 @ Y2) = Y1)))))) & (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: (!! @ g @ (^[Y4 : g]: ((Y0 @ (Y0 @ Y4 @ Y3) @ Y2) = (Y0 @ Y4 @ (Y0 @ Y3 @ Y2)))))))))) & (!! @ g @ (^[Y2 : g]: (((Y0 @ Y2 @ Y1) = Y2) & ((Y0 @ Y1 @ Y2) = Y2))))))) = ((!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: ((Y0 @ (Y0 @ Y3 @ Y2) @ Y1) = (Y0 @ Y3 @ (Y0 @ Y2 @ Y1))))))))) & (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((?? @ g @ (^[Y3 : g]: ((Y0 @ Y1 @ Y3) = Y2))) & (?? @ g @ (^[Y3 : g]: ((Y0 @ Y3 @ Y1) = Y2)))))))))))) = $false)),
% 45.35/7.93 inference(not_proxy_clausification,[status(thm)],[f33])).
% 45.35/7.93 thf(f33,plain,(
% 45.35/7.93 ((~ (!! @ (g > g > g) @ (^[Y0 : g > g > g]: ((?? @ g @ (^[Y1 : g]: (((!! @ g @ (^[Y2 : g]: (?? @ g @ (^[Y3 : g]: (((Y0 @ Y2 @ Y3) = Y1) & ((Y0 @ Y3 @ Y2) = Y1)))))) & (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: (!! @ g @ (^[Y4 : g]: ((Y0 @ (Y0 @ Y4 @ Y3) @ Y2) = (Y0 @ Y4 @ (Y0 @ Y3 @ Y2)))))))))) & (!! @ g @ (^[Y2 : g]: (((Y0 @ Y2 @ Y1) = Y2) & ((Y0 @ Y1 @ Y2) = Y2))))))) = ((!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: ((Y0 @ (Y0 @ Y3 @ Y2) @ Y1) = (Y0 @ Y3 @ (Y0 @ Y2 @ Y1))))))))) & (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((?? @ g @ (^[Y3 : g]: ((Y0 @ Y1 @ Y3) = Y2))) & (?? @ g @ (^[Y3 : g]: ((Y0 @ Y3 @ Y1) = Y2))))))))))))) = $true)),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f32])).
% 45.35/7.93 thf(f32,plain,(
% 45.35/7.93 ((~ (!! @ (g > g > g) @ (^[Y0 : g > g > g]: ((?? @ g @ (^[Y1 : g]: ((^[Y2 : g > g > g]: ((^[Y3 : g]: ((((^[Y4 : g > g > g]: ((^[Y5 : g]: (!! @ g @ (^[Y6 : g]: (?? @ g @ (^[Y7 : g]: (((Y4 @ Y6 @ Y7) = Y5) & ((Y4 @ Y7 @ Y6) = Y5))))))))) @ Y2 @ Y3) & ((^[Y4 : g > g > g]: (!! @ g @ (^[Y5 : g]: (!! @ g @ (^[Y6 : g]: (!! @ g @ (^[Y7 : g]: ((Y4 @ (Y4 @ Y7 @ Y6) @ Y5) = (Y4 @ Y7 @ (Y4 @ Y6 @ Y5)))))))))) @ Y2)) & ((^[Y4 : g > g > g]: ((^[Y5 : g]: (!! @ g @ (^[Y6 : g]: (((Y4 @ Y6 @ Y5) = Y6) & ((Y4 @ Y5 @ Y6) = Y6))))))) @ Y2 @ Y3))))) @ Y0 @ Y1))) = ((^[Y1 : g > g > g]: (((^[Y2 : g > g > g]: (!! @ g @ (^[Y3 : g]: (!! @ g @ (^[Y4 : g]: (!! @ g @ (^[Y5 : g]: ((Y2 @ (Y2 @ Y5 @ Y4) @ Y3) = (Y2 @ Y5 @ (Y2 @ Y4 @ Y3)))))))))) @ Y1) & ((^[Y2 : g > g > g]: (!! @ g @ (^[Y3 : g]: (!! @ g @ (^[Y4 : g]: ((?? @ g @ (^[Y5 : g]: ((Y2 @ Y3 @ Y5) = Y4))) & (?? @ g @ (^[Y5 : g]: ((Y2 @ Y5 @ Y3) = Y4))))))))) @ Y1))) @ Y0))))) = $true)),
% 45.35/7.93 inference(definition_unfolding,[status(thm)],[f24,f30,f31])).
% 45.35/7.93 thf(f31,plain,(
% 45.35/7.93 (cGROUP4 = (^[Y0 : g > g > g]: (((^[Y1 : g > g > g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: (!! @ g @ (^[Y4 : g]: ((Y1 @ (Y1 @ Y4 @ Y3) @ Y2) = (Y1 @ Y4 @ (Y1 @ Y3 @ Y2)))))))))) @ Y0) & ((^[Y1 : g > g > g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: ((?? @ g @ (^[Y4 : g]: ((Y1 @ Y2 @ Y4) = Y3))) & (?? @ g @ (^[Y4 : g]: ((Y1 @ Y4 @ Y2) = Y3))))))))) @ Y0))))),
% 45.35/7.93 inference(definition_unfolding,[status(thm)],[f23,f29,f27])).
% 45.35/7.93 thf(f27,plain,(
% 45.35/7.93 (cGRP_DIVISORS = (^[Y0 : g > g > g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((?? @ g @ (^[Y3 : g]: ((Y0 @ Y1 @ Y3) = Y2))) & (?? @ g @ (^[Y3 : g]: ((Y0 @ Y3 @ Y1) = Y2))))))))))),
% 45.35/7.93 inference(cnf_transformation,[status(thm)],[f11])).
% 45.35/7.93 thf(f11,plain,(
% 45.35/7.93 (cGRP_DIVISORS = (^[Y0 : g > g > g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((?? @ g @ (^[Y3 : g]: ((Y0 @ Y1 @ Y3) = Y2))) & (?? @ g @ (^[Y3 : g]: ((Y0 @ Y3 @ Y1) = Y2))))))))))),
% 45.35/7.93 inference(fool_elimination,[status(thm)],[f10])).
% 45.35/7.93 thf(f10,plain,(
% 45.35/7.93 ((^[X0 : g > g > g] : (! [X1 : g,X2 : g] : (? [X3 : g] : ((X0 @ X3 @ X2) = X1) & ? [X4 : g] : ((X0 @ X2 @ X4) = X1)))) = cGRP_DIVISORS)),
% 45.35/7.93 inference(rectify,[status(thm)],[f2])).
% 45.35/7.93 thf(f2,axiom,(
% 45.35/7.93 ((^[X0 : g > g > g] : (! [X2 : g,X1 : g] : (? [X5 : g] : ((X0 @ X5 @ X1) = X2) & ? [X4 : g] : ((X0 @ X1 @ X4) = X2)))) = cGRP_DIVISORS)),
% 45.35/7.93 file('/export/starexec/sandbox/tmp/tmp.VLG6bBhH7f/DTF2THF_20481.p',cGRP_DIVISORS_def)).
% 45.35/7.93 thf(f29,plain,(
% 45.35/7.93 (cGRP_ASSOC = (^[Y0 : g > g > g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: ((Y0 @ (Y0 @ Y3 @ Y2) @ Y1) = (Y0 @ Y3 @ (Y0 @ Y2 @ Y1)))))))))))),
% 45.35/7.93 inference(cnf_transformation,[status(thm)],[f20])).
% 45.35/7.93 thf(f20,plain,(
% 45.35/7.93 (cGRP_ASSOC = (^[Y0 : g > g > g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: ((Y0 @ (Y0 @ Y3 @ Y2) @ Y1) = (Y0 @ Y3 @ (Y0 @ Y2 @ Y1)))))))))))),
% 45.35/7.93 inference(fool_elimination,[status(thm)],[f1])).
% 45.35/7.93 thf(f1,axiom,(
% 45.35/7.93 (cGRP_ASSOC = (^[X0 : g > g > g] : (! [X1 : g,X2 : g,X3 : g] : ((X0 @ (X0 @ X1 @ X2) @ X3) = (X0 @ X1 @ (X0 @ X2 @ X3))))))),
% 45.35/7.93 file('/export/starexec/sandbox/tmp/tmp.VLG6bBhH7f/DTF2THF_20481.p',cGRP_ASSOC_def)).
% 45.35/7.93 thf(f23,plain,(
% 45.35/7.93 (cGROUP4 = (^[Y0 : g > g > g]: ((cGRP_ASSOC @ Y0) & (cGRP_DIVISORS @ Y0))))),
% 45.35/7.93 inference(cnf_transformation,[status(thm)],[f17])).
% 45.35/7.93 thf(f17,plain,(
% 45.35/7.93 (cGROUP4 = (^[Y0 : g > g > g]: ((cGRP_ASSOC @ Y0) & (cGRP_DIVISORS @ Y0))))),
% 45.35/7.93 inference(fool_elimination,[status(thm)],[f16])).
% 45.35/7.93 thf(f16,plain,(
% 45.35/7.93 (cGROUP4 = (^[X0 : g > g > g] : ((cGRP_DIVISORS @ X0) & (cGRP_ASSOC @ X0))))),
% 45.35/7.93 inference(rectify,[status(thm)],[f6])).
% 45.35/7.93 thf(f6,axiom,(
% 45.35/7.93 (cGROUP4 = (^[X0 : g > g > g] : ((cGRP_DIVISORS @ X0) & (cGRP_ASSOC @ X0))))),
% 45.35/7.93 file('/export/starexec/sandbox/tmp/tmp.VLG6bBhH7f/DTF2THF_20481.p',cGROUP4_def)).
% 45.35/7.93 thf(f30,plain,(
% 45.35/7.93 (cGROUP1 = (^[Y0 : g > g > g]: ((^[Y1 : g]: ((((^[Y2 : g > g > g]: ((^[Y3 : g]: (!! @ g @ (^[Y4 : g]: (?? @ g @ (^[Y5 : g]: (((Y2 @ Y4 @ Y5) = Y3) & ((Y2 @ Y5 @ Y4) = Y3))))))))) @ Y0 @ Y1) & ((^[Y2 : g > g > g]: (!! @ g @ (^[Y3 : g]: (!! @ g @ (^[Y4 : g]: (!! @ g @ (^[Y5 : g]: ((Y2 @ (Y2 @ Y5 @ Y4) @ Y3) = (Y2 @ Y5 @ (Y2 @ Y4 @ Y3)))))))))) @ Y0)) & ((^[Y2 : g > g > g]: ((^[Y3 : g]: (!! @ g @ (^[Y4 : g]: (((Y2 @ Y4 @ Y3) = Y4) & ((Y2 @ Y3 @ Y4) = Y4))))))) @ Y0 @ Y1))))))),
% 45.35/7.93 inference(definition_unfolding,[status(thm)],[f28,f26,f29,f25])).
% 45.35/7.93 thf(f25,plain,(
% 45.35/7.93 (cGRP_UNIT = (^[Y0 : g > g > g]: ((^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (((Y0 @ Y2 @ Y1) = Y2) & ((Y0 @ Y1 @ Y2) = Y2))))))))),
% 45.35/7.93 inference(cnf_transformation,[status(thm)],[f19])).
% 45.35/7.93 thf(f19,plain,(
% 45.35/7.93 (cGRP_UNIT = (^[Y0 : g > g > g]: ((^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (((Y0 @ Y2 @ Y1) = Y2) & ((Y0 @ Y1 @ Y2) = Y2))))))))),
% 45.35/7.93 inference(fool_elimination,[status(thm)],[f18])).
% 45.35/7.93 thf(f18,plain,(
% 45.35/7.93 (cGRP_UNIT = (^[X0 : g > g > g, X1 : g] : (! [X2 : g] : (((X0 @ X1 @ X2) = X2) & ((X0 @ X2 @ X1) = X2)))))),
% 45.35/7.93 inference(rectify,[status(thm)],[f4])).
% 45.35/7.93 thf(f4,axiom,(
% 45.35/7.93 (cGRP_UNIT = (^[X0 : g > g > g, X6 : g] : (! [X1 : g] : (((X0 @ X6 @ X1) = X1) & ((X0 @ X1 @ X6) = X1)))))),
% 45.35/7.93 file('/export/starexec/sandbox/tmp/tmp.VLG6bBhH7f/DTF2THF_20481.p',cGRP_UNIT_def)).
% 45.35/7.93 thf(f26,plain,(
% 45.35/7.93 (cGRP_INVERSE = (^[Y0 : g > g > g]: ((^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (?? @ g @ (^[Y3 : g]: (((Y0 @ Y2 @ Y3) = Y1) & ((Y0 @ Y3 @ Y2) = Y1))))))))))),
% 45.35/7.93 inference(cnf_transformation,[status(thm)],[f22])).
% 45.35/7.93 thf(f22,plain,(
% 45.35/7.93 (cGRP_INVERSE = (^[Y0 : g > g > g]: ((^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (?? @ g @ (^[Y3 : g]: (((Y0 @ Y2 @ Y3) = Y1) & ((Y0 @ Y3 @ Y2) = Y1))))))))))),
% 45.35/7.93 inference(fool_elimination,[status(thm)],[f21])).
% 45.35/7.93 thf(f21,plain,(
% 45.35/7.93 ((^[X0 : g > g > g, X1 : g] : (! [X2 : g] : ? [X3 : g] : (((X0 @ X3 @ X2) = X1) & ((X0 @ X2 @ X3) = X1)))) = cGRP_INVERSE)),
% 45.35/7.93 inference(rectify,[status(thm)],[f3])).
% 45.35/7.93 thf(f3,axiom,(
% 45.35/7.93 ((^[X0 : g > g > g, X6 : g] : (! [X1 : g] : ? [X2 : g] : (((X0 @ X2 @ X1) = X6) & ((X0 @ X1 @ X2) = X6)))) = cGRP_INVERSE)),
% 45.35/7.93 file('/export/starexec/sandbox/tmp/tmp.VLG6bBhH7f/DTF2THF_20481.p',cGRP_INVERSE_def)).
% 45.35/7.93 thf(f28,plain,(
% 45.35/7.93 (cGROUP1 = (^[Y0 : g > g > g]: ((^[Y1 : g]: (((cGRP_INVERSE @ Y0 @ Y1) & (cGRP_ASSOC @ Y0)) & (cGRP_UNIT @ Y0 @ Y1))))))),
% 45.35/7.93 inference(cnf_transformation,[status(thm)],[f13])).
% 45.35/7.93 thf(f13,plain,(
% 45.35/7.93 (cGROUP1 = (^[Y0 : g > g > g]: ((^[Y1 : g]: (((cGRP_INVERSE @ Y0 @ Y1) & (cGRP_ASSOC @ Y0)) & (cGRP_UNIT @ Y0 @ Y1))))))),
% 45.35/7.93 inference(fool_elimination,[status(thm)],[f12])).
% 45.35/7.93 thf(f12,plain,(
% 45.35/7.93 (cGROUP1 = (^[X0 : g > g > g, X1 : g] : ((cGRP_UNIT @ X0 @ X1) & (cGRP_ASSOC @ X0) & (cGRP_INVERSE @ X0 @ X1))))),
% 45.35/7.93 inference(rectify,[status(thm)],[f5])).
% 45.35/7.93 thf(f5,axiom,(
% 45.35/7.93 (cGROUP1 = (^[X0 : g > g > g, X6 : g] : ((cGRP_UNIT @ X0 @ X6) & (cGRP_ASSOC @ X0) & (cGRP_INVERSE @ X0 @ X6))))),
% 45.35/7.93 file('/export/starexec/sandbox/tmp/tmp.VLG6bBhH7f/DTF2THF_20481.p',cGROUP1_def)).
% 45.35/7.93 thf(f24,plain,(
% 45.35/7.93 ($true = (~ (!! @ (g > g > g) @ (^[Y0 : g > g > g]: ((?? @ g @ (^[Y1 : g]: (cGROUP1 @ Y0 @ Y1))) = (cGROUP4 @ Y0))))))),
% 45.35/7.93 inference(cnf_transformation,[status(thm)],[f15])).
% 45.35/7.93 thf(f15,plain,(
% 45.35/7.93 ($true = (~ (!! @ (g > g > g) @ (^[Y0 : g > g > g]: ((?? @ g @ (^[Y1 : g]: (cGROUP1 @ Y0 @ Y1))) = (cGROUP4 @ Y0))))))),
% 45.35/7.93 inference(fool_elimination,[status(thm)],[f14])).
% 45.35/7.93 thf(f14,plain,(
% 45.35/7.93 ~! [X0 : g > g > g] : (? [X1 : g] : (cGROUP1 @ X0 @ X1) <=> (cGROUP4 @ X0))),
% 45.35/7.93 inference(rectify,[status(thm)],[f8])).
% 45.35/7.93 thf(f8,negated_conjecture,(
% 45.35/7.93 ~! [X0 : g > g > g] : (? [X6 : g] : (cGROUP1 @ X0 @ X6) <=> (cGROUP4 @ X0))),
% 45.35/7.93 inference(negated_conjecture,[status(cth)],[f7])).
% 45.35/7.93 thf(f7,conjecture,(
% 45.35/7.93 ! [X0 : g > g > g] : (? [X6 : g] : (cGROUP1 @ X0 @ X6) <=> (cGROUP4 @ X0))),
% 45.35/7.93 file('/export/starexec/sandbox/tmp/tmp.VLG6bBhH7f/DTF2THF_20481.p',cEQUIV_01_04)).
% 45.35/7.93 thf(f205,plain,(
% 45.35/7.93 spl0_6 | spl0_11),
% 45.35/7.93 inference(avatar_split_clause,[status(thm)],[f204,f189,f121])).
% 45.35/7.93 thf(f204,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((sK1 @ X1 @ (sK10 @ X1 @ X2)) = X2) | ((sK1 @ X3 @ (sK12 @ X3)) = sK9)) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f203])).
% 45.35/7.93 thf(f203,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((sK1 @ X1 @ (sK10 @ X1 @ X2)) = X2) | (((sK1 @ X3 @ (sK12 @ X3)) = sK9) = $true)) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f199])).
% 45.35/7.93 thf(f199,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (($true = ((sK1 @ X1 @ (sK10 @ X1 @ X2)) = X2)) | (((sK1 @ X3 @ (sK12 @ X3)) = sK9) = $true)) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f197])).
% 45.35/7.93 thf(f197,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((((sK1 @ X3 @ (sK12 @ X3)) = sK9) & ((sK1 @ (sK12 @ X3) @ X3) = sK9)) = $true) | ($true = ((sK1 @ X1 @ (sK10 @ X1 @ X2)) = X2))) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f196])).
% 45.35/7.93 thf(f196,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (($true = ((^[Y0 : g]: ((sK1 @ X1 @ Y0) = X2)) @ (sK10 @ X1 @ X2))) | ((((sK1 @ X3 @ (sK12 @ X3)) = sK9) & ((sK1 @ (sK12 @ X3) @ X3) = sK9)) = $true)) )),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f195])).
% 45.35/7.93 thf(f195,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((?? @ g @ (^[Y0 : g]: ((sK1 @ X1 @ Y0) = X2))) = $true) | ((((sK1 @ X3 @ (sK12 @ X3)) = sK9) & ((sK1 @ (sK12 @ X3) @ X3) = sK9)) = $true)) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f194])).
% 45.35/7.93 thf(f194,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : ((((^[Y0 : g]: (((sK1 @ X3 @ Y0) = sK9) & ((sK1 @ Y0 @ X3) = sK9))) @ (sK12 @ X3)) = $true) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ X1 @ Y0) = X2))) = $true)) )),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f193])).
% 45.35/7.93 thf(f193,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((?? @ g @ (^[Y0 : g]: (((sK1 @ X3 @ Y0) = sK9) & ((sK1 @ Y0 @ X3) = sK9)))) = $true) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ X1 @ Y0) = X2))) = $true)) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f192])).
% 45.35/7.93 thf(f192,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (($true = ((^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = sK9) & ((sK1 @ Y1 @ Y0) = sK9))))) @ X3)) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ X1 @ Y0) = X2))) = $true)) )),
% 45.35/7.93 inference(pi_clausification,[status(thm)],[f171])).
% 45.35/7.93 thf(f171,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = sK9) & ((sK1 @ Y1 @ Y0) = sK9)))))) = $true) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ X1 @ Y0) = X2))) = $true)) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f148])).
% 45.35/7.93 thf(f148,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (($true = ((?? @ g @ (^[Y0 : g]: ((sK1 @ X1 @ Y0) = X2))) & (?? @ g @ (^[Y0 : g]: ((sK1 @ Y0 @ X1) = X2))))) | ((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = sK9) & ((sK1 @ Y1 @ Y0) = sK9)))))) = $true)) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f106])).
% 45.35/7.93 thf(f106,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : ((((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = sK9) & ((sK1 @ Y1 @ Y0) = sK9)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) = $true) | ($true = ((?? @ g @ (^[Y0 : g]: ((sK1 @ X1 @ Y0) = X2))) & (?? @ g @ (^[Y0 : g]: ((sK1 @ Y0 @ X1) = X2)))))) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f104])).
% 45.35/7.93 thf(f104,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (($true = (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = sK9) & ((sK1 @ Y1 @ Y0) = sK9)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) & (!! @ g @ (^[Y0 : g]: (((sK1 @ Y0 @ sK9) = Y0) & ((sK1 @ sK9 @ Y0) = Y0)))))) | ($true = ((?? @ g @ (^[Y0 : g]: ((sK1 @ X1 @ Y0) = X2))) & (?? @ g @ (^[Y0 : g]: ((sK1 @ Y0 @ X1) = X2)))))) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f103])).
% 45.35/7.93 thf(f103,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (($true = (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = sK9) & ((sK1 @ Y1 @ Y0) = sK9)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) & (!! @ g @ (^[Y0 : g]: (((sK1 @ Y0 @ sK9) = Y0) & ((sK1 @ sK9 @ Y0) = Y0)))))) | (((^[Y0 : g]: ((?? @ g @ (^[Y1 : g]: ((sK1 @ X1 @ Y1) = Y0))) & (?? @ g @ (^[Y1 : g]: ((sK1 @ Y1 @ X1) = Y0))))) @ X2) = $true)) )),
% 45.35/7.93 inference(pi_clausification,[status(thm)],[f102])).
% 45.35/7.93 thf(f102,plain,(
% 45.35/7.93 ( ! [X1 : g] : (($true = (!! @ g @ (^[Y0 : g]: ((?? @ g @ (^[Y1 : g]: ((sK1 @ X1 @ Y1) = Y0))) & (?? @ g @ (^[Y1 : g]: ((sK1 @ Y1 @ X1) = Y0))))))) | ($true = (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = sK9) & ((sK1 @ Y1 @ Y0) = sK9)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) & (!! @ g @ (^[Y0 : g]: (((sK1 @ Y0 @ sK9) = Y0) & ((sK1 @ sK9 @ Y0) = Y0))))))) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f101])).
% 45.35/7.93 thf(f101,plain,(
% 45.35/7.93 ( ! [X1 : g] : (($true = (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = sK9) & ((sK1 @ Y1 @ Y0) = sK9)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) & (!! @ g @ (^[Y0 : g]: (((sK1 @ Y0 @ sK9) = Y0) & ((sK1 @ sK9 @ Y0) = Y0)))))) | (((^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((?? @ g @ (^[Y2 : g]: ((sK1 @ Y0 @ Y2) = Y1))) & (?? @ g @ (^[Y2 : g]: ((sK1 @ Y2 @ Y0) = Y1))))))) @ X1) = $true)) )),
% 45.35/7.93 inference(pi_clausification,[status(thm)],[f100])).
% 45.35/7.93 thf(f100,plain,(
% 45.35/7.93 ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((?? @ g @ (^[Y2 : g]: ((sK1 @ Y0 @ Y2) = Y1))) & (?? @ g @ (^[Y2 : g]: ((sK1 @ Y2 @ Y0) = Y1)))))))) = $true) | ($true = (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = sK9) & ((sK1 @ Y1 @ Y0) = sK9)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) & (!! @ g @ (^[Y0 : g]: (((sK1 @ Y0 @ sK9) = Y0) & ((sK1 @ sK9 @ Y0) = Y0))))))),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f99])).
% 45.35/7.93 thf(f99,plain,(
% 45.35/7.93 (((^[Y0 : g]: (((!! @ g @ (^[Y1 : g]: (?? @ g @ (^[Y2 : g]: (((sK1 @ Y1 @ Y2) = Y0) & ((sK1 @ Y2 @ Y1) = Y0)))))) & (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: ((sK1 @ (sK1 @ Y3 @ Y2) @ Y1) = (sK1 @ Y3 @ (sK1 @ Y2 @ Y1)))))))))) & (!! @ g @ (^[Y1 : g]: (((sK1 @ Y1 @ Y0) = Y1) & ((sK1 @ Y0 @ Y1) = Y1)))))) @ sK9) = $true) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((?? @ g @ (^[Y2 : g]: ((sK1 @ Y0 @ Y2) = Y1))) & (?? @ g @ (^[Y2 : g]: ((sK1 @ Y2 @ Y0) = Y1)))))))) = $true)),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f97])).
% 45.35/7.93 thf(f97,plain,(
% 45.35/7.93 ($true = (?? @ g @ (^[Y0 : g]: (((!! @ g @ (^[Y1 : g]: (?? @ g @ (^[Y2 : g]: (((sK1 @ Y1 @ Y2) = Y0) & ((sK1 @ Y2 @ Y1) = Y0)))))) & (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: ((sK1 @ (sK1 @ Y3 @ Y2) @ Y1) = (sK1 @ Y3 @ (sK1 @ Y2 @ Y1)))))))))) & (!! @ g @ (^[Y1 : g]: (((sK1 @ Y1 @ Y0) = Y1) & ((sK1 @ Y0 @ Y1) = Y1)))))))) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((?? @ g @ (^[Y2 : g]: ((sK1 @ Y0 @ Y2) = Y1))) & (?? @ g @ (^[Y2 : g]: ((sK1 @ Y2 @ Y0) = Y1)))))))) = $true)),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f38])).
% 45.35/7.93 thf(f202,plain,(
% 45.35/7.93 spl0_6 | spl0_10),
% 45.35/7.93 inference(avatar_split_clause,[status(thm)],[f201,f183,f121])).
% 45.35/7.93 thf(f201,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((sK1 @ X1 @ (sK10 @ X1 @ X2)) = X2) | ((sK1 @ (sK12 @ X3) @ X3) = sK9)) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f200])).
% 45.35/7.93 thf(f200,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((sK1 @ X1 @ (sK10 @ X1 @ X2)) = X2) | (((sK1 @ (sK12 @ X3) @ X3) = sK9) = $true)) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f198])).
% 45.35/7.93 thf(f198,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (($true = ((sK1 @ X1 @ (sK10 @ X1 @ X2)) = X2)) | (((sK1 @ (sK12 @ X3) @ X3) = sK9) = $true)) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f197])).
% 45.35/7.93 thf(f191,plain,(
% 45.35/7.93 spl0_8 | spl0_11),
% 45.35/7.93 inference(avatar_split_clause,[status(thm)],[f187,f189,f139])).
% 45.35/7.93 thf(f187,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((sK1 @ X3 @ (sK12 @ X3)) = sK9) | ((sK1 @ (sK11 @ X1 @ X2) @ X1) = X2)) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f186])).
% 45.35/7.93 thf(f186,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((sK1 @ X3 @ (sK12 @ X3)) = sK9) | (((sK1 @ (sK11 @ X1 @ X2) @ X1) = X2) = $true)) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f179])).
% 45.35/7.93 thf(f179,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : ((((sK1 @ X3 @ (sK12 @ X3)) = sK9) = $true) | (((sK1 @ (sK11 @ X1 @ X2) @ X1) = X2) = $true)) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f177])).
% 45.35/7.93 thf(f177,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((((sK1 @ X3 @ (sK12 @ X3)) = sK9) & ((sK1 @ (sK12 @ X3) @ X3) = sK9)) = $true) | (((sK1 @ (sK11 @ X1 @ X2) @ X1) = X2) = $true)) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f176])).
% 45.35/7.93 thf(f176,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : ((((^[Y0 : g]: (((sK1 @ X3 @ Y0) = sK9) & ((sK1 @ Y0 @ X3) = sK9))) @ (sK12 @ X3)) = $true) | (((sK1 @ (sK11 @ X1 @ X2) @ X1) = X2) = $true)) )),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f175])).
% 45.35/7.93 thf(f175,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((?? @ g @ (^[Y0 : g]: (((sK1 @ X3 @ Y0) = sK9) & ((sK1 @ Y0 @ X3) = sK9)))) = $true) | (((sK1 @ (sK11 @ X1 @ X2) @ X1) = X2) = $true)) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f174])).
% 45.35/7.93 thf(f174,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((?? @ g @ (^[Y0 : g]: (((sK1 @ X3 @ Y0) = sK9) & ((sK1 @ Y0 @ X3) = sK9)))) = $true) | (((^[Y0 : g]: ((sK1 @ Y0 @ X1) = X2)) @ (sK11 @ X1 @ X2)) = $true)) )),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f173])).
% 45.35/7.93 thf(f173,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (($true = (?? @ g @ (^[Y0 : g]: ((sK1 @ Y0 @ X1) = X2)))) | ((?? @ g @ (^[Y0 : g]: (((sK1 @ X3 @ Y0) = sK9) & ((sK1 @ Y0 @ X3) = sK9)))) = $true)) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f172])).
% 45.35/7.93 thf(f172,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (($true = ((^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = sK9) & ((sK1 @ Y1 @ Y0) = sK9))))) @ X3)) | ($true = (?? @ g @ (^[Y0 : g]: ((sK1 @ Y0 @ X1) = X2))))) )),
% 45.35/7.93 inference(pi_clausification,[status(thm)],[f170])).
% 45.35/7.93 thf(f170,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = sK9) & ((sK1 @ Y1 @ Y0) = sK9)))))) = $true) | ($true = (?? @ g @ (^[Y0 : g]: ((sK1 @ Y0 @ X1) = X2))))) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f148])).
% 45.35/7.93 thf(f185,plain,(
% 45.35/7.93 spl0_10 | spl0_8),
% 45.35/7.93 inference(avatar_split_clause,[status(thm)],[f181,f139,f183])).
% 45.35/7.93 thf(f181,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((sK1 @ (sK11 @ X1 @ X2) @ X1) = X2) | ((sK1 @ (sK12 @ X3) @ X3) = sK9)) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f180])).
% 45.35/7.93 thf(f180,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((sK1 @ (sK12 @ X3) @ X3) = sK9) | (((sK1 @ (sK11 @ X1 @ X2) @ X1) = X2) = $true)) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f178])).
% 45.35/7.93 thf(f178,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : ((((sK1 @ (sK12 @ X3) @ X3) = sK9) = $true) | (((sK1 @ (sK11 @ X1 @ X2) @ X1) = X2) = $true)) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f177])).
% 45.35/7.93 thf(f146,plain,(
% 45.35/7.93 spl0_7 | spl0_8),
% 45.35/7.93 inference(avatar_split_clause,[status(thm)],[f145,f139,f129])).
% 45.35/7.93 thf(f145,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((sK1 @ (sK11 @ X1 @ X2) @ X1) = X2) | ((sK1 @ X3 @ sK9) = X3)) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f144])).
% 45.35/7.93 thf(f144,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((sK1 @ (sK11 @ X1 @ X2) @ X1) = X2) | ($true = ((sK1 @ X3 @ sK9) = X3))) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f143])).
% 45.35/7.93 thf(f143,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : ((((sK1 @ (sK11 @ X1 @ X2) @ X1) = X2) = $true) | ($true = ((sK1 @ X3 @ sK9) = X3))) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f142])).
% 45.35/7.93 thf(f142,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (($true = ((sK1 @ X3 @ sK9) = X3)) | (((^[Y0 : g]: ((sK1 @ Y0 @ X1) = X2)) @ (sK11 @ X1 @ X2)) = $true)) )),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f133])).
% 45.35/7.93 thf(f133,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (($true = (?? @ g @ (^[Y0 : g]: ((sK1 @ Y0 @ X1) = X2)))) | ($true = ((sK1 @ X3 @ sK9) = X3))) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f109])).
% 45.35/7.93 thf(f109,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((((sK1 @ X3 @ sK9) = X3) & ((sK1 @ sK9 @ X3) = X3)) = $true) | ($true = (?? @ g @ (^[Y0 : g]: ((sK1 @ Y0 @ X1) = X2))))) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f108])).
% 45.35/7.93 thf(f108,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (($true = ((?? @ g @ (^[Y0 : g]: ((sK1 @ X1 @ Y0) = X2))) & (?? @ g @ (^[Y0 : g]: ((sK1 @ Y0 @ X1) = X2))))) | ((((sK1 @ X3 @ sK9) = X3) & ((sK1 @ sK9 @ X3) = X3)) = $true)) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f107])).
% 45.35/7.93 thf(f107,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : ((((^[Y0 : g]: (((sK1 @ Y0 @ sK9) = Y0) & ((sK1 @ sK9 @ Y0) = Y0))) @ X3) = $true) | ($true = ((?? @ g @ (^[Y0 : g]: ((sK1 @ X1 @ Y0) = X2))) & (?? @ g @ (^[Y0 : g]: ((sK1 @ Y0 @ X1) = X2)))))) )),
% 45.35/7.93 inference(pi_clausification,[status(thm)],[f105])).
% 45.35/7.93 thf(f105,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((!! @ g @ (^[Y0 : g]: (((sK1 @ Y0 @ sK9) = Y0) & ((sK1 @ sK9 @ Y0) = Y0)))) = $true) | ($true = ((?? @ g @ (^[Y0 : g]: ((sK1 @ X1 @ Y0) = X2))) & (?? @ g @ (^[Y0 : g]: ((sK1 @ Y0 @ X1) = X2)))))) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f104])).
% 45.35/7.93 thf(f141,plain,(
% 45.35/7.93 spl0_5 | spl0_8),
% 45.35/7.93 inference(avatar_split_clause,[status(thm)],[f137,f139,f118])).
% 45.35/7.93 thf(f137,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((sK1 @ (sK11 @ X1 @ X2) @ X1) = X2) | ((sK1 @ sK9 @ X3) = X3)) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f136])).
% 45.35/7.93 thf(f136,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((sK1 @ (sK11 @ X1 @ X2) @ X1) = X2) | (((sK1 @ sK9 @ X3) = X3) = $true)) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f135])).
% 45.35/7.93 thf(f135,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : ((((sK1 @ (sK11 @ X1 @ X2) @ X1) = X2) = $true) | (((sK1 @ sK9 @ X3) = X3) = $true)) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f134])).
% 45.35/7.93 thf(f134,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : ((((^[Y0 : g]: ((sK1 @ Y0 @ X1) = X2)) @ (sK11 @ X1 @ X2)) = $true) | (((sK1 @ sK9 @ X3) = X3) = $true)) )),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f132])).
% 45.35/7.93 thf(f132,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (($true = (?? @ g @ (^[Y0 : g]: ((sK1 @ Y0 @ X1) = X2)))) | (((sK1 @ sK9 @ X3) = X3) = $true)) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f109])).
% 45.35/7.93 thf(f131,plain,(
% 45.35/7.93 spl0_7 | spl0_6),
% 45.35/7.93 inference(avatar_split_clause,[status(thm)],[f127,f121,f129])).
% 45.35/7.93 thf(f127,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((sK1 @ X1 @ (sK10 @ X1 @ X2)) = X2) | ((sK1 @ X3 @ sK9) = X3)) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f126])).
% 45.35/7.93 thf(f126,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (($true = ((sK1 @ X1 @ (sK10 @ X1 @ X2)) = X2)) | ((sK1 @ X3 @ sK9) = X3)) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f125])).
% 45.35/7.93 thf(f125,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (($true = ((^[Y0 : g]: ((sK1 @ X1 @ Y0) = X2)) @ (sK10 @ X1 @ X2))) | ((sK1 @ X3 @ sK9) = X3)) )),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f124])).
% 45.35/7.93 thf(f124,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((sK1 @ X3 @ sK9) = X3) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ X1 @ Y0) = X2))) = $true)) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f112])).
% 45.35/7.93 thf(f112,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (($true = ((sK1 @ X3 @ sK9) = X3)) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ X1 @ Y0) = X2))) = $true)) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f110])).
% 45.35/7.93 thf(f110,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((((sK1 @ X3 @ sK9) = X3) & ((sK1 @ sK9 @ X3) = X3)) = $true) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ X1 @ Y0) = X2))) = $true)) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f108])).
% 45.35/7.93 thf(f123,plain,(
% 45.35/7.93 spl0_5 | spl0_6),
% 45.35/7.93 inference(avatar_split_clause,[status(thm)],[f116,f121,f118])).
% 45.35/7.93 thf(f116,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((sK1 @ X1 @ (sK10 @ X1 @ X2)) = X2) | ((sK1 @ sK9 @ X3) = X3)) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f115])).
% 45.35/7.93 thf(f115,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : ((((sK1 @ sK9 @ X3) = X3) = $true) | ((sK1 @ X1 @ (sK10 @ X1 @ X2)) = X2)) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f114])).
% 45.35/7.93 thf(f114,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (($true = ((sK1 @ X1 @ (sK10 @ X1 @ X2)) = X2)) | (((sK1 @ sK9 @ X3) = X3) = $true)) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f113])).
% 45.35/7.93 thf(f113,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : ((((sK1 @ sK9 @ X3) = X3) = $true) | ($true = ((^[Y0 : g]: ((sK1 @ X1 @ Y0) = X2)) @ (sK10 @ X1 @ X2)))) )),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f111])).
% 45.35/7.93 thf(f111,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((?? @ g @ (^[Y0 : g]: ((sK1 @ X1 @ Y0) = X2))) = $true) | (((sK1 @ sK9 @ X3) = X3) = $true)) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f110])).
% 45.35/7.93 thf(f96,plain,(
% 45.35/7.93 ~spl0_1 | spl0_2 | spl0_3 | spl0_4),
% 45.35/7.93 inference(avatar_split_clause,[status(thm)],[f82,f94,f91,f88,f84])).
% 45.35/7.93 thf(f82,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g,X4 : g] : (((sK1 @ X3 @ (sK8 @ X1)) != X1) | ((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | ((sK1 @ (sK8 @ X1) @ X3) != X1) | ((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1))) | (sK3 != (sK1 @ sK2 @ X4)) | ((sK1 @ X2 @ sK2) != sK3) | ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4))) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f81])).
% 45.35/7.93 thf(f81,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g,X4 : g] : ((((sK1 @ sK2 @ X4) = sK3) = $false) | ((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | ((sK1 @ (sK8 @ X1) @ X3) != X1) | ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4)) | ((sK1 @ X2 @ sK2) != sK3) | ((sK1 @ X3 @ (sK8 @ X1)) != X1) | ((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1)))) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f80])).
% 45.35/7.93 thf(f80,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g,X4 : g] : (($false = ((sK1 @ X3 @ (sK8 @ X1)) = X1)) | ((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1))) | ((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4)) | (((sK1 @ sK2 @ X4) = sK3) = $false) | ((sK1 @ (sK8 @ X1) @ X3) != X1) | ((sK1 @ X2 @ sK2) != sK3)) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f79])).
% 45.35/7.93 thf(f79,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g,X4 : g] : (((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4)) | ((sK1 @ (sK8 @ X1) @ X3) != X1) | ($false = ((sK1 @ X3 @ (sK8 @ X1)) = X1)) | ((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | ((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1))) | ((sK1 @ X2 @ sK2) != sK3) | (((^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3)) @ X4) = $false)) )),
% 45.35/7.93 inference(pi_clausification,[status(thm)],[f78])).
% 45.35/7.93 thf(f78,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((sK1 @ X2 @ sK2) != sK3) | ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4)) | ((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | ((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1))) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | ($false = ((sK1 @ X3 @ (sK8 @ X1)) = X1)) | ((sK1 @ (sK8 @ X1) @ X3) != X1)) )),
% 45.35/7.93 inference(duplicate_literal_removal,[status(thm)],[f77])).
% 45.35/7.93 thf(f77,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4)) | ((sK1 @ X2 @ sK2) != sK3) | ((sK1 @ (sK8 @ X1) @ X3) != X1) | ($false = ((sK1 @ X3 @ (sK8 @ X1)) = X1)) | ((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4)) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | ((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1)))) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f76])).
% 45.35/7.93 thf(f76,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : ((((sK1 @ (sK1 @ sK7 @ sK6) @ sK4) = (sK1 @ sK7 @ (sK1 @ sK6 @ sK4))) = $false) | ((sK1 @ X2 @ sK2) != sK3) | ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4)) | ((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1))) | ((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | ((sK1 @ (sK8 @ X1) @ X3) != X1) | ($false = ((sK1 @ X3 @ (sK8 @ X1)) = X1)) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false)) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f75])).
% 45.35/7.93 thf(f75,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : ((((sK1 @ (sK8 @ X1) @ X3) = X1) = $false) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | ((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1))) | ((sK1 @ X2 @ sK2) != sK3) | ((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | (((sK1 @ (sK1 @ sK7 @ sK6) @ sK4) = (sK1 @ sK7 @ (sK1 @ sK6 @ sK4))) = $false) | ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4)) | ($false = ((sK1 @ X3 @ (sK8 @ X1)) = X1))) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f74])).
% 45.35/7.93 thf(f74,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((((sK1 @ (sK8 @ X1) @ X3) = X1) & ((sK1 @ X3 @ (sK8 @ X1)) = X1)) = $false) | ((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4)) | ((sK1 @ X2 @ sK2) != sK3) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | (((sK1 @ (sK1 @ sK7 @ sK6) @ sK4) = (sK1 @ sK7 @ (sK1 @ sK6 @ sK4))) = $false) | ((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1)))) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f73])).
% 45.35/7.93 thf(f73,plain,(
% 45.35/7.93 ( ! [X2 : g,X3 : g,X1 : g] : (((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1))) | ((sK1 @ X2 @ sK2) != sK3) | (((sK1 @ (sK1 @ sK7 @ sK6) @ sK4) = (sK1 @ sK7 @ (sK1 @ sK6 @ sK4))) = $false) | ((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4)) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | (((^[Y0 : g]: (((sK1 @ (sK8 @ X1) @ Y0) = X1) & ((sK1 @ Y0 @ (sK8 @ X1)) = X1))) @ X3) = $false)) )),
% 45.35/7.93 inference(pi_clausification,[status(thm)],[f72])).
% 45.35/7.93 thf(f72,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((?? @ g @ (^[Y0 : g]: (((sK1 @ (sK8 @ X1) @ Y0) = X1) & ((sK1 @ Y0 @ (sK8 @ X1)) = X1)))) = $false) | (((sK1 @ (sK1 @ sK7 @ sK6) @ sK4) = (sK1 @ sK7 @ (sK1 @ sK6 @ sK4))) = $false) | ((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | ((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1))) | ((sK1 @ X2 @ sK2) != sK3) | ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4))) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f71])).
% 45.35/7.93 thf(f71,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | ((?? @ g @ (^[Y0 : g]: (((sK1 @ (sK8 @ X1) @ Y0) = X1) & ((sK1 @ Y0 @ (sK8 @ X1)) = X1)))) = $false) | ((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1))) | ((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | ((sK1 @ X2 @ sK2) != sK3) | (((^[Y0 : g]: ((sK1 @ (sK1 @ Y0 @ sK6) @ sK4) = (sK1 @ Y0 @ (sK1 @ sK6 @ sK4)))) @ sK7) = $false) | ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4))) )),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f70])).
% 45.35/7.93 thf(f70,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4)) | ((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1))) | ($false = (!! @ g @ (^[Y0 : g]: ((sK1 @ (sK1 @ Y0 @ sK6) @ sK4) = (sK1 @ Y0 @ (sK1 @ sK6 @ sK4)))))) | ((?? @ g @ (^[Y0 : g]: (((sK1 @ (sK8 @ X1) @ Y0) = X1) & ((sK1 @ Y0 @ (sK8 @ X1)) = X1)))) = $false) | ((sK1 @ X2 @ sK2) != sK3) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false)) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f69])).
% 45.35/7.93 thf(f69,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1))) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | ((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | ($false = ((^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((sK1 @ (sK1 @ Y1 @ Y0) @ sK4) = (sK1 @ Y1 @ (sK1 @ Y0 @ sK4)))))) @ sK6)) | ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4)) | ((?? @ g @ (^[Y0 : g]: (((sK1 @ (sK8 @ X1) @ Y0) = X1) & ((sK1 @ Y0 @ (sK8 @ X1)) = X1)))) = $false) | ((sK1 @ X2 @ sK2) != sK3)) )),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f68])).
% 45.35/7.93 thf(f68,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((sK1 @ (sK1 @ Y1 @ Y0) @ sK4) = (sK1 @ Y1 @ (sK1 @ Y0 @ sK4))))))) = $false) | ((?? @ g @ (^[Y0 : g]: (((sK1 @ (sK8 @ X1) @ Y0) = X1) & ((sK1 @ Y0 @ (sK8 @ X1)) = X1)))) = $false) | ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4)) | ((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | ((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1))) | ((sK1 @ X2 @ sK2) != sK3) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false)) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f67])).
% 45.35/7.93 thf(f67,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | ((?? @ g @ (^[Y0 : g]: (((sK1 @ (sK8 @ X1) @ Y0) = X1) & ((sK1 @ Y0 @ (sK8 @ X1)) = X1)))) = $false) | (((^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))) @ sK4) = $false) | ((sK1 @ X2 @ sK2) != sK3) | ((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1))) | ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4))) )),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f66])).
% 45.35/7.93 thf(f66,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | ((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1))) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) = $false) | ((?? @ g @ (^[Y0 : g]: (((sK1 @ (sK8 @ X1) @ Y0) = X1) & ((sK1 @ Y0 @ (sK8 @ X1)) = X1)))) = $false) | ((sK1 @ X2 @ sK2) != sK3) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4))) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f65])).
% 45.35/7.93 thf(f65,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1))) | ((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | ((sK1 @ X2 @ sK2) != sK3) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) = $false) | ($false = ((^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = X1) & ((sK1 @ Y1 @ Y0) = X1))))) @ (sK8 @ X1))) | ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4)) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false)) )),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f64])).
% 45.35/7.93 thf(f64,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = X1) & ((sK1 @ Y1 @ Y0) = X1)))))) = $false) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) = $false) | ((sK5 @ X1) != (sK1 @ X1 @ (sK5 @ X1))) | ((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4)) | ((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | ((sK1 @ X2 @ sK2) != sK3) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false)) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f63])).
% 45.35/7.93 thf(f63,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((sK1 @ sK7 @ (sK1 @ sK6 @ sK4)) != (sK1 @ (sK1 @ sK7 @ sK6) @ sK4)) | (((sK1 @ X1 @ (sK5 @ X1)) = (sK5 @ X1)) = $false) | ((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = X1) & ((sK1 @ Y1 @ Y0) = X1)))))) = $false) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) = $false) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | ((sK1 @ X2 @ sK2) != sK3) | ((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1))) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f62])).
% 45.35/7.93 thf(f62,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : ((((sK1 @ (sK1 @ sK7 @ sK6) @ sK4) = (sK1 @ sK7 @ (sK1 @ sK6 @ sK4))) = $false) | ((sK5 @ X1) != (sK1 @ (sK5 @ X1) @ X1)) | ((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = X1) & ((sK1 @ Y1 @ Y0) = X1)))))) = $false) | ((sK1 @ X2 @ sK2) != sK3) | (((sK1 @ X1 @ (sK5 @ X1)) = (sK5 @ X1)) = $false) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) = $false) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false)) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f61])).
% 45.35/7.93 thf(f61,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : ((((sK1 @ (sK5 @ X1) @ X1) = (sK5 @ X1)) = $false) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | ((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = X1) & ((sK1 @ Y1 @ Y0) = X1)))))) = $false) | (((sK1 @ X1 @ (sK5 @ X1)) = (sK5 @ X1)) = $false) | ((sK1 @ X2 @ sK2) != sK3) | (((sK1 @ (sK1 @ sK7 @ sK6) @ sK4) = (sK1 @ sK7 @ (sK1 @ sK6 @ sK4))) = $false) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) = $false)) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f60])).
% 45.35/7.93 thf(f60,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : ((((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = X1) & ((sK1 @ Y1 @ Y0) = X1)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) = $false) | (((sK1 @ (sK5 @ X1) @ X1) = (sK5 @ X1)) = $false) | (((sK1 @ X1 @ (sK5 @ X1)) = (sK5 @ X1)) = $false) | ((sK1 @ X2 @ sK2) != sK3) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | (((sK1 @ (sK1 @ sK7 @ sK6) @ sK4) = (sK1 @ sK7 @ (sK1 @ sK6 @ sK4))) = $false)) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f59])).
% 45.35/7.93 thf(f59,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | (((sK1 @ X1 @ (sK5 @ X1)) = (sK5 @ X1)) = $false) | (((^[Y0 : g]: ((sK1 @ (sK1 @ Y0 @ sK6) @ sK4) = (sK1 @ Y0 @ (sK1 @ sK6 @ sK4)))) @ sK7) = $false) | (((sK1 @ (sK5 @ X1) @ X1) = (sK5 @ X1)) = $false) | (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = X1) & ((sK1 @ Y1 @ Y0) = X1)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) = $false) | ((sK1 @ X2 @ sK2) != sK3)) )),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f58])).
% 45.35/7.93 thf(f58,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (($false = (!! @ g @ (^[Y0 : g]: ((sK1 @ (sK1 @ Y0 @ sK6) @ sK4) = (sK1 @ Y0 @ (sK1 @ sK6 @ sK4)))))) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | (((sK1 @ X1 @ (sK5 @ X1)) = (sK5 @ X1)) = $false) | ((sK1 @ X2 @ sK2) != sK3) | (((sK1 @ (sK5 @ X1) @ X1) = (sK5 @ X1)) = $false) | (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = X1) & ((sK1 @ Y1 @ Y0) = X1)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) = $false)) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f57])).
% 45.35/7.93 thf(f57,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((((sK1 @ (sK5 @ X1) @ X1) = (sK5 @ X1)) & ((sK1 @ X1 @ (sK5 @ X1)) = (sK5 @ X1))) = $false) | (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = X1) & ((sK1 @ Y1 @ Y0) = X1)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) = $false) | ((sK1 @ X2 @ sK2) != sK3) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | ($false = (!! @ g @ (^[Y0 : g]: ((sK1 @ (sK1 @ Y0 @ sK6) @ sK4) = (sK1 @ Y0 @ (sK1 @ sK6 @ sK4))))))) )),
% 45.35/7.93 inference(equality_proxy_clausification,[status(thm)],[f56])).
% 45.35/7.93 thf(f56,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : ((((sK1 @ X2 @ sK2) = sK3) = $false) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = X1) & ((sK1 @ Y1 @ Y0) = X1)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) = $false) | ((((sK1 @ (sK5 @ X1) @ X1) = (sK5 @ X1)) & ((sK1 @ X1 @ (sK5 @ X1)) = (sK5 @ X1))) = $false) | ($false = (!! @ g @ (^[Y0 : g]: ((sK1 @ (sK1 @ Y0 @ sK6) @ sK4) = (sK1 @ Y0 @ (sK1 @ sK6 @ sK4))))))) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f55])).
% 45.35/7.93 thf(f55,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : ((((sK1 @ X2 @ sK2) = sK3) = $false) | (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = X1) & ((sK1 @ Y1 @ Y0) = X1)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) = $false) | ((((sK1 @ (sK5 @ X1) @ X1) = (sK5 @ X1)) & ((sK1 @ X1 @ (sK5 @ X1)) = (sK5 @ X1))) = $false) | ($false = ((^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((sK1 @ (sK1 @ Y1 @ Y0) @ sK4) = (sK1 @ Y1 @ (sK1 @ Y0 @ sK4)))))) @ sK6)) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false)) )),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f54])).
% 45.35/7.93 thf(f54,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((sK1 @ (sK1 @ Y1 @ Y0) @ sK4) = (sK1 @ Y1 @ (sK1 @ Y0 @ sK4))))))) = $false) | ((((sK1 @ (sK5 @ X1) @ X1) = (sK5 @ X1)) & ((sK1 @ X1 @ (sK5 @ X1)) = (sK5 @ X1))) = $false) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = X1) & ((sK1 @ Y1 @ Y0) = X1)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) = $false) | (((sK1 @ X2 @ sK2) = sK3) = $false)) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f53])).
% 45.35/7.93 thf(f53,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((sK1 @ (sK1 @ Y1 @ Y0) @ sK4) = (sK1 @ Y1 @ (sK1 @ Y0 @ sK4))))))) = $false) | (((sK1 @ X2 @ sK2) = sK3) = $false) | (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = X1) & ((sK1 @ Y1 @ Y0) = X1)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) = $false) | (((^[Y0 : g]: (((sK1 @ Y0 @ X1) = Y0) & ((sK1 @ X1 @ Y0) = Y0))) @ (sK5 @ X1)) = $false) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false)) )),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f52])).
% 45.35/7.93 thf(f52,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((!! @ g @ (^[Y0 : g]: (((sK1 @ Y0 @ X1) = Y0) & ((sK1 @ X1 @ Y0) = Y0)))) = $false) | (((sK1 @ X2 @ sK2) = sK3) = $false) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | (((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = X1) & ((sK1 @ Y1 @ Y0) = X1)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) = $false) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((sK1 @ (sK1 @ Y1 @ Y0) @ sK4) = (sK1 @ Y1 @ (sK1 @ Y0 @ sK4))))))) = $false)) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f51])).
% 45.35/7.93 thf(f51,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : (((((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = X1) & ((sK1 @ Y1 @ Y0) = X1)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) & (!! @ g @ (^[Y0 : g]: (((sK1 @ Y0 @ X1) = Y0) & ((sK1 @ X1 @ Y0) = Y0))))) = $false) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((sK1 @ (sK1 @ Y1 @ Y0) @ sK4) = (sK1 @ Y1 @ (sK1 @ Y0 @ sK4))))))) = $false) | (((sK1 @ X2 @ sK2) = sK3) = $false)) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f50])).
% 45.35/7.93 thf(f50,plain,(
% 45.35/7.93 ( ! [X2 : g,X1 : g] : ((((^[Y0 : g]: ((sK1 @ Y0 @ sK2) = sK3)) @ X2) = $false) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | ((((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = X1) & ((sK1 @ Y1 @ Y0) = X1)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) & (!! @ g @ (^[Y0 : g]: (((sK1 @ Y0 @ X1) = Y0) & ((sK1 @ X1 @ Y0) = Y0))))) = $false) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((sK1 @ (sK1 @ Y1 @ Y0) @ sK4) = (sK1 @ Y1 @ (sK1 @ Y0 @ sK4))))))) = $false)) )),
% 45.35/7.93 inference(pi_clausification,[status(thm)],[f49])).
% 45.35/7.93 thf(f49,plain,(
% 45.35/7.93 ( ! [X1 : g] : (((?? @ g @ (^[Y0 : g]: ((sK1 @ Y0 @ sK2) = sK3))) = $false) | ((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) = $false) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((sK1 @ (sK1 @ Y1 @ Y0) @ sK4) = (sK1 @ Y1 @ (sK1 @ Y0 @ sK4))))))) = $false) | ((((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = X1) & ((sK1 @ Y1 @ Y0) = X1)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) & (!! @ g @ (^[Y0 : g]: (((sK1 @ Y0 @ X1) = Y0) & ((sK1 @ X1 @ Y0) = Y0))))) = $false)) )),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f48])).
% 45.35/7.93 thf(f48,plain,(
% 45.35/7.93 ( ! [X1 : g] : ((((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) & (?? @ g @ (^[Y0 : g]: ((sK1 @ Y0 @ sK2) = sK3)))) = $false) | ((((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = X1) & ((sK1 @ Y1 @ Y0) = X1)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) & (!! @ g @ (^[Y0 : g]: (((sK1 @ Y0 @ X1) = Y0) & ((sK1 @ X1 @ Y0) = Y0))))) = $false) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((sK1 @ (sK1 @ Y1 @ Y0) @ sK4) = (sK1 @ Y1 @ (sK1 @ Y0 @ sK4))))))) = $false)) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f47])).
% 45.35/7.93 thf(f47,plain,(
% 45.35/7.93 ( ! [X1 : g] : (((((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = X1) & ((sK1 @ Y1 @ Y0) = X1)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) & (!! @ g @ (^[Y0 : g]: (((sK1 @ Y0 @ X1) = Y0) & ((sK1 @ X1 @ Y0) = Y0))))) = $false) | (((^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))) @ sK4) = $false) | (((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) & (?? @ g @ (^[Y0 : g]: ((sK1 @ Y0 @ sK2) = sK3)))) = $false)) )),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f46])).
% 45.35/7.93 thf(f46,plain,(
% 45.35/7.93 ( ! [X1 : g] : (((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) = $false) | ((((!! @ g @ (^[Y0 : g]: (?? @ g @ (^[Y1 : g]: (((sK1 @ Y0 @ Y1) = X1) & ((sK1 @ Y1 @ Y0) = X1)))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0)))))))))) & (!! @ g @ (^[Y0 : g]: (((sK1 @ Y0 @ X1) = Y0) & ((sK1 @ X1 @ Y0) = Y0))))) = $false) | (((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) & (?? @ g @ (^[Y0 : g]: ((sK1 @ Y0 @ sK2) = sK3)))) = $false)) )),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f45])).
% 45.35/7.93 thf(f45,plain,(
% 45.35/7.93 ( ! [X1 : g] : ((((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) & (?? @ g @ (^[Y0 : g]: ((sK1 @ Y0 @ sK2) = sK3)))) = $false) | (((^[Y0 : g]: (((!! @ g @ (^[Y1 : g]: (?? @ g @ (^[Y2 : g]: (((sK1 @ Y1 @ Y2) = Y0) & ((sK1 @ Y2 @ Y1) = Y0)))))) & (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: ((sK1 @ (sK1 @ Y3 @ Y2) @ Y1) = (sK1 @ Y3 @ (sK1 @ Y2 @ Y1)))))))))) & (!! @ g @ (^[Y1 : g]: (((sK1 @ Y1 @ Y0) = Y1) & ((sK1 @ Y0 @ Y1) = Y1)))))) @ X1) = $false) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) = $false)) )),
% 45.35/7.93 inference(pi_clausification,[status(thm)],[f44])).
% 45.35/7.93 thf(f44,plain,(
% 45.35/7.93 ($false = (?? @ g @ (^[Y0 : g]: (((!! @ g @ (^[Y1 : g]: (?? @ g @ (^[Y2 : g]: (((sK1 @ Y1 @ Y2) = Y0) & ((sK1 @ Y2 @ Y1) = Y0)))))) & (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: ((sK1 @ (sK1 @ Y3 @ Y2) @ Y1) = (sK1 @ Y3 @ (sK1 @ Y2 @ Y1)))))))))) & (!! @ g @ (^[Y1 : g]: (((sK1 @ Y1 @ Y0) = Y1) & ((sK1 @ Y0 @ Y1) = Y1)))))))) | (((?? @ g @ (^[Y0 : g]: ((sK1 @ sK2 @ Y0) = sK3))) & (?? @ g @ (^[Y0 : g]: ((sK1 @ Y0 @ sK2) = sK3)))) = $false) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) = $false)),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f43])).
% 45.35/7.93 thf(f43,plain,(
% 45.35/7.93 ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) = $false) | ($false = (?? @ g @ (^[Y0 : g]: (((!! @ g @ (^[Y1 : g]: (?? @ g @ (^[Y2 : g]: (((sK1 @ Y1 @ Y2) = Y0) & ((sK1 @ Y2 @ Y1) = Y0)))))) & (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: ((sK1 @ (sK1 @ Y3 @ Y2) @ Y1) = (sK1 @ Y3 @ (sK1 @ Y2 @ Y1)))))))))) & (!! @ g @ (^[Y1 : g]: (((sK1 @ Y1 @ Y0) = Y1) & ((sK1 @ Y0 @ Y1) = Y1)))))))) | (((^[Y0 : g]: ((?? @ g @ (^[Y1 : g]: ((sK1 @ sK2 @ Y1) = Y0))) & (?? @ g @ (^[Y1 : g]: ((sK1 @ Y1 @ sK2) = Y0))))) @ sK3) = $false)),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f42])).
% 45.35/7.93 thf(f42,plain,(
% 45.35/7.93 ((!! @ g @ (^[Y0 : g]: ((?? @ g @ (^[Y1 : g]: ((sK1 @ sK2 @ Y1) = Y0))) & (?? @ g @ (^[Y1 : g]: ((sK1 @ Y1 @ sK2) = Y0)))))) = $false) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) = $false) | ($false = (?? @ g @ (^[Y0 : g]: (((!! @ g @ (^[Y1 : g]: (?? @ g @ (^[Y2 : g]: (((sK1 @ Y1 @ Y2) = Y0) & ((sK1 @ Y2 @ Y1) = Y0)))))) & (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: ((sK1 @ (sK1 @ Y3 @ Y2) @ Y1) = (sK1 @ Y3 @ (sK1 @ Y2 @ Y1)))))))))) & (!! @ g @ (^[Y1 : g]: (((sK1 @ Y1 @ Y0) = Y1) & ((sK1 @ Y0 @ Y1) = Y1))))))))),
% 45.35/7.93 inference(beta_eta_normalization,[status(thm)],[f41])).
% 45.35/7.93 thf(f41,plain,(
% 45.35/7.93 ($false = (?? @ g @ (^[Y0 : g]: (((!! @ g @ (^[Y1 : g]: (?? @ g @ (^[Y2 : g]: (((sK1 @ Y1 @ Y2) = Y0) & ((sK1 @ Y2 @ Y1) = Y0)))))) & (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: ((sK1 @ (sK1 @ Y3 @ Y2) @ Y1) = (sK1 @ Y3 @ (sK1 @ Y2 @ Y1)))))))))) & (!! @ g @ (^[Y1 : g]: (((sK1 @ Y1 @ Y0) = Y1) & ((sK1 @ Y0 @ Y1) = Y1)))))))) | (((^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((?? @ g @ (^[Y2 : g]: ((sK1 @ Y0 @ Y2) = Y1))) & (?? @ g @ (^[Y2 : g]: ((sK1 @ Y2 @ Y0) = Y1))))))) @ sK2) = $false) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) = $false)),
% 45.35/7.93 inference(sigma_clausification,[status(thm)],[f40])).
% 45.35/7.93 thf(f40,plain,(
% 45.35/7.93 ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((?? @ g @ (^[Y2 : g]: ((sK1 @ Y0 @ Y2) = Y1))) & (?? @ g @ (^[Y2 : g]: ((sK1 @ Y2 @ Y0) = Y1)))))))) = $false) | ((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) = $false) | ($false = (?? @ g @ (^[Y0 : g]: (((!! @ g @ (^[Y1 : g]: (?? @ g @ (^[Y2 : g]: (((sK1 @ Y1 @ Y2) = Y0) & ((sK1 @ Y2 @ Y1) = Y0)))))) & (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: ((sK1 @ (sK1 @ Y3 @ Y2) @ Y1) = (sK1 @ Y3 @ (sK1 @ Y2 @ Y1)))))))))) & (!! @ g @ (^[Y1 : g]: (((sK1 @ Y1 @ Y0) = Y1) & ((sK1 @ Y0 @ Y1) = Y1))))))))),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f39])).
% 45.35/7.93 thf(f39,plain,(
% 45.35/7.93 (((!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: ((sK1 @ (sK1 @ Y2 @ Y1) @ Y0) = (sK1 @ Y2 @ (sK1 @ Y1 @ Y0))))))))) & (!! @ g @ (^[Y0 : g]: (!! @ g @ (^[Y1 : g]: ((?? @ g @ (^[Y2 : g]: ((sK1 @ Y0 @ Y2) = Y1))) & (?? @ g @ (^[Y2 : g]: ((sK1 @ Y2 @ Y0) = Y1))))))))) = $false) | ($false = (?? @ g @ (^[Y0 : g]: (((!! @ g @ (^[Y1 : g]: (?? @ g @ (^[Y2 : g]: (((sK1 @ Y1 @ Y2) = Y0) & ((sK1 @ Y2 @ Y1) = Y0)))))) & (!! @ g @ (^[Y1 : g]: (!! @ g @ (^[Y2 : g]: (!! @ g @ (^[Y3 : g]: ((sK1 @ (sK1 @ Y3 @ Y2) @ Y1) = (sK1 @ Y3 @ (sK1 @ Y2 @ Y1)))))))))) & (!! @ g @ (^[Y1 : g]: (((sK1 @ Y1 @ Y0) = Y1) & ((sK1 @ Y0 @ Y1) = Y1))))))))),
% 45.35/7.93 inference(binary_proxy_clausification,[status(thm)],[f37])).
% 45.35/7.93 % SZS output end Proof for DTF2THF_20481
% 45.35/7.93 % (20987)------------------------------
% 45.35/7.93 % (20987)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.35/7.93 % (20987)Termination reason: Refutation
% 45.35/7.93
% 45.35/7.93 % (20987)Memory used [KB]: 7675
% 45.35/7.93 % (20987)Time elapsed: 0.257 s
% 45.35/7.93 % (20987)Instructions burned: 728 (million)
% 45.35/7.93 % (20987)------------------------------
% 45.35/7.93 % (20987)------------------------------
% 45.35/7.93 % (20578)Success in time 6.494 s
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