TSTP Solution File: ALG273^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG273^5 : TPTP v8.2.0. Bugfixed v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.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 : Mon May 20 18:20:47 EDT 2024
% Result : Theorem 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 34
% Syntax : Number of formulae : 214 ( 41 unt; 18 typ; 0 def)
% Number of atoms : 1134 ( 409 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 2551 ( 180 ~; 168 |; 98 &;1755 @)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 155 ( 155 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 24 usr; 17 con; 0-2 aty)
% ( 271 !!; 68 ??; 0 @@+; 0 @@-)
% Number of variables : 580 ( 445 ^ 130 !; 4 ?; 580 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
g: $tType ).
thf(func_def_0,type,
g: $tType ).
thf(func_def_1,type,
cGROUP2: ( g > g > g ) > g > $o ).
thf(func_def_2,type,
cGROUP3: ( g > g > g ) > g > $o ).
thf(func_def_3,type,
cGRP_ASSOC: ( g > g > g ) > $o ).
thf(func_def_4,type,
cGRP_LEFT_INVERSE: ( g > g > g ) > g > $o ).
thf(func_def_5,type,
cGRP_LEFT_UNIT: ( g > g > g ) > g > $o ).
thf(func_def_6,type,
cGRP_RIGHT_INVERSE: ( g > g > g ) > g > $o ).
thf(func_def_7,type,
cGRP_RIGHT_UNIT: ( g > g > g ) > g > $o ).
thf(func_def_23,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_24,type,
sK2: g ).
thf(func_def_25,type,
sK3: g > g > 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 > g ).
thf(func_def_30,type,
sK8: g ).
thf(func_def_31,type,
sK9: g ).
thf(f1047,plain,
$false,
inference(avatar_sat_refutation,[],[f55,f62,f87,f91,f266,f647,f713,f1037,f1046]) ).
thf(f1046,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1045]) ).
thf(f1045,plain,
( $false
| ~ spl0_4
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f1044]) ).
thf(f1044,plain,
( ( $false = $true )
| ~ spl0_4
| ~ spl0_8 ),
inference(boolean_simplification,[],[f1043]) ).
thf(f1043,plain,
( ( ( sK9 = sK9 )
= $false )
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1042,f856]) ).
thf(f856,plain,
( ! [X0: g] :
( ( sK3 @ sK2 @ X0 )
= X0 )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f855,f801]) ).
thf(f801,plain,
( ! [X0: g] :
( ( sK3 @ sK2 @ ( sK7 @ ( sK7 @ X0 ) ) )
= X0 )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f789,f685]) ).
thf(f685,plain,
( ! [X1: g] :
( ( sK3 @ X1 @ sK2 )
= X1 )
| ~ spl0_4 ),
inference(equality_proxy_clausification,[],[f684]) ).
thf(f684,plain,
( ! [X1: g] :
( ( ( sK3 @ X1 @ sK2 )
= X1 )
= $true )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f683]) ).
thf(f683,plain,
( ! [X1: g] :
( ( ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 )
@ X1 )
= $true )
| ~ spl0_4 ),
inference(pi_clausification,[],[f682]) ).
thf(f682,plain,
( ( $false
!= ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) ) )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f679]) ).
thf(f679,plain,
( ( ( $true
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) ) )
!= $false )
| ~ spl0_4 ),
inference(backward_demodulation,[],[f676,f678]) ).
thf(f678,plain,
( ( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) ) )
= $true )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f676]) ).
thf(f676,plain,
( ( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) ) )
!= $false )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f46,f61]) ).
thf(f61,plain,
( ( $false
= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f60]) ).
thf(f60,plain,
( spl0_4
<=> ( $false
= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f46,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) ) )
!= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) ) ),
inference(binary_proxy_clausification,[],[f45]) ).
thf(f45,plain,
( ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
= ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f44]) ).
thf(f44,plain,
( $false
= ( ^ [Y0: g > g > g] :
( ( ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( Y0 @ Y2 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( Y0 @ Y1 @ ( Y0 @ Y2 @ Y3 ) )
= ( Y0 @ ( Y0 @ Y1 @ Y2 ) @ Y3 ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ( Y0 @ sK2 @ Y1 )
= Y1 ) ) )
= ( ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( Y0 @ Y1 @ ( Y0 @ Y2 @ Y3 ) )
= ( Y0 @ ( Y0 @ Y1 @ Y2 ) @ Y3 ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( Y0 @ Y1 @ Y2 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ( Y0 @ Y1 @ sK2 )
= Y1 ) ) ) )
@ sK3 ) ),
inference(sigma_clausification,[],[f43]) ).
thf(f43,plain,
( ( !! @ ( g > g > g )
@ ^ [Y0: g > g > g] :
( ( ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( Y0 @ Y2 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( Y0 @ Y1 @ ( Y0 @ Y2 @ Y3 ) )
= ( Y0 @ ( Y0 @ Y1 @ Y2 ) @ Y3 ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ( Y0 @ sK2 @ Y1 )
= Y1 ) ) )
= ( ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( Y0 @ Y1 @ ( Y0 @ Y2 @ Y3 ) )
= ( Y0 @ ( Y0 @ Y1 @ Y2 ) @ Y3 ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( Y0 @ Y1 @ Y2 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ( Y0 @ Y1 @ sK2 )
= Y1 ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f42]) ).
thf(f42,plain,
( $false
= ( ^ [Y0: g] :
( !! @ ( g > g > g )
@ ^ [Y1: g > g > g] :
( ( ( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( Y1 @ Y3 @ Y2 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y1 @ Y2 @ ( Y1 @ Y3 @ Y4 ) )
= ( Y1 @ ( Y1 @ Y2 @ Y3 ) @ Y4 ) ) ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( ( Y1 @ Y0 @ Y2 )
= Y2 ) ) )
= ( ( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y1 @ Y2 @ ( Y1 @ Y3 @ Y4 ) )
= ( Y1 @ ( Y1 @ Y2 @ Y3 ) @ Y4 ) ) ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( Y1 @ Y2 @ Y3 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( ( Y1 @ Y2 @ Y0 )
= Y2 ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[],[f39]) ).
thf(f39,plain,
( $false
= ( !! @ g
@ ^ [Y0: g] :
( !! @ ( g > g > g )
@ ^ [Y1: g > g > g] :
( ( ( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( Y1 @ Y3 @ Y2 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y1 @ Y2 @ ( Y1 @ Y3 @ Y4 ) )
= ( Y1 @ ( Y1 @ Y2 @ Y3 ) @ Y4 ) ) ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( ( Y1 @ Y0 @ Y2 )
= Y2 ) ) )
= ( ( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y1 @ Y2 @ ( Y1 @ Y3 @ Y4 ) )
= ( Y1 @ ( Y1 @ Y2 @ Y3 ) @ Y4 ) ) ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( Y1 @ Y2 @ Y3 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( ( Y1 @ Y2 @ Y0 )
= Y2 ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f38]) ).
thf(f38,plain,
( ( ~ ( !! @ g
@ ^ [Y0: g] :
( !! @ ( g > g > g )
@ ^ [Y1: g > g > g] :
( ( ( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( Y1 @ Y3 @ Y2 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y1 @ Y2 @ ( Y1 @ Y3 @ Y4 ) )
= ( Y1 @ ( Y1 @ Y2 @ Y3 ) @ Y4 ) ) ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( ( Y1 @ Y0 @ Y2 )
= Y2 ) ) )
= ( ( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y1 @ Y2 @ ( Y1 @ Y3 @ Y4 ) )
= ( Y1 @ ( Y1 @ Y2 @ Y3 ) @ Y4 ) ) ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( Y1 @ Y2 @ Y3 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( ( Y1 @ Y2 @ Y0 )
= Y2 ) ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f37]) ).
thf(f37,plain,
( ( ~ ( !! @ g
@ ^ [Y0: g] :
( !! @ ( g > g > g )
@ ^ [Y1: g > g > g] :
( ( ^ [Y2: g > g > g,Y3: g] :
( ( ^ [Y4: g > g > g,Y5: g] :
( !! @ g
@ ^ [Y6: g] :
( ?? @ g
@ ^ [Y7: g] :
( ( Y4 @ Y7 @ Y6 )
= Y5 ) ) )
@ Y2
@ Y3 )
& ( ^ [Y4: g > g > g] :
( !! @ g
@ ^ [Y5: g] :
( !! @ g
@ ^ [Y6: g] :
( !! @ g
@ ^ [Y7: g] :
( ( Y4 @ Y5 @ ( Y4 @ Y6 @ Y7 ) )
= ( Y4 @ ( Y4 @ Y5 @ Y6 ) @ Y7 ) ) ) ) )
@ Y2 )
& ( ^ [Y4: g > g > g,Y5: g] :
( !! @ g
@ ^ [Y6: g] :
( ( Y4 @ Y5 @ Y6 )
= Y6 ) )
@ Y2
@ Y3 ) )
@ Y1
@ Y0 )
= ( ^ [Y2: g > g > g,Y3: g] :
( ( ^ [Y4: g > g > g] :
( !! @ g
@ ^ [Y5: g] :
( !! @ g
@ ^ [Y6: g] :
( !! @ g
@ ^ [Y7: g] :
( ( Y4 @ Y5 @ ( Y4 @ Y6 @ Y7 ) )
= ( Y4 @ ( Y4 @ Y5 @ Y6 ) @ Y7 ) ) ) ) )
@ Y2 )
& ( ^ [Y4: g > g > g,Y5: g] :
( !! @ g
@ ^ [Y6: g] :
( ?? @ g
@ ^ [Y7: g] :
( ( Y4 @ Y6 @ Y7 )
= Y5 ) ) )
@ Y2
@ Y3 )
& ( ^ [Y4: g > g > g,Y5: g] :
( !! @ g
@ ^ [Y6: g] :
( ( Y4 @ Y6 @ Y5 )
= Y6 ) )
@ Y2
@ Y3 ) )
@ Y1
@ Y0 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f33,f35,f36]) ).
thf(f36,plain,
( cGROUP3
= ( ^ [Y0: g > g > g,Y1: g] :
( ( ^ [Y2: g > g > g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( !! @ g
@ ^ [Y5: g] :
( ( Y2 @ Y3 @ ( Y2 @ Y4 @ Y5 ) )
= ( Y2 @ ( Y2 @ Y3 @ Y4 ) @ Y5 ) ) ) ) )
@ Y0 )
& ( ^ [Y2: g > g > g,Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ?? @ g
@ ^ [Y5: g] :
( ( Y2 @ Y4 @ Y5 )
= Y3 ) ) )
@ Y0
@ Y1 )
& ( ^ [Y2: g > g > g,Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y2 @ Y4 @ Y3 )
= Y4 ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f34,f28,f29,f32]) ).
thf(f32,plain,
( cGRP_RIGHT_UNIT
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( Y0 @ Y2 @ Y1 )
= Y2 ) ) ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f22,plain,
( cGRP_RIGHT_UNIT
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( Y0 @ Y2 @ Y1 )
= Y2 ) ) ) ),
inference(fool_elimination,[],[f21]) ).
thf(f21,plain,
( ( ^ [X0: g > g > g,X1: g] :
! [X2: g] :
( ( X0 @ X2 @ X1 )
= X2 ) )
= cGRP_RIGHT_UNIT ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
( ( ^ [X0: g > g > g,X4: g] :
! [X1: g] :
( ( X0 @ X1 @ X4 )
= X1 ) )
= cGRP_RIGHT_UNIT ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGRP_RIGHT_UNIT_def) ).
thf(f29,plain,
( cGRP_RIGHT_INVERSE
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y2 @ Y3 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f26]) ).
thf(f26,plain,
( cGRP_RIGHT_INVERSE
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y2 @ Y3 )
= Y1 ) ) ) ) ),
inference(fool_elimination,[],[f25]) ).
thf(f25,plain,
( cGRP_RIGHT_INVERSE
= ( ^ [X0: g > g > g,X1: g] :
! [X2: g] :
? [X3: g] :
( ( X0 @ X2 @ X3 )
= X1 ) ) ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
( cGRP_RIGHT_INVERSE
= ( ^ [X0: g > g > g,X4: g] :
! [X1: g] :
? [X2: g] :
( ( X0 @ X1 @ X2 )
= X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGRP_RIGHT_INVERSE_def) ).
thf(f28,plain,
( cGRP_ASSOC
= ( ^ [Y0: g > g > g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( Y0 @ Y1 @ ( Y0 @ Y2 @ Y3 ) )
= ( Y0 @ ( Y0 @ Y1 @ Y2 ) @ Y3 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f16,plain,
( cGRP_ASSOC
= ( ^ [Y0: g > g > g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( Y0 @ Y1 @ ( Y0 @ Y2 @ Y3 ) )
= ( Y0 @ ( Y0 @ Y1 @ Y2 ) @ Y3 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f15]) ).
thf(f15,plain,
( ( ^ [X0: g > g > g] :
! [X1: g,X2: g,X3: g] :
( ( X0 @ X3 @ ( X0 @ X2 @ X1 ) )
= ( X0 @ ( X0 @ X3 @ X2 ) @ X1 ) ) )
= cGRP_ASSOC ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
( ( ^ [X0: g > g > g] :
! [X3: g,X2: g,X1: g] :
( ( X0 @ ( X0 @ X1 @ X2 ) @ X3 )
= ( X0 @ X1 @ ( X0 @ X2 @ X3 ) ) ) )
= cGRP_ASSOC ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGRP_ASSOC_def) ).
thf(f34,plain,
( cGROUP3
= ( ^ [Y0: g > g > g,Y1: g] :
( ( cGRP_ASSOC @ Y0 )
& ( cGRP_RIGHT_INVERSE @ Y0 @ Y1 )
& ( cGRP_RIGHT_UNIT @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
( cGROUP3
= ( ^ [Y0: g > g > g,Y1: g] :
( ( cGRP_ASSOC @ Y0 )
& ( cGRP_RIGHT_INVERSE @ Y0 @ Y1 )
& ( cGRP_RIGHT_UNIT @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f13]) ).
thf(f13,plain,
( cGROUP3
= ( ^ [X0: g > g > g,X1: g] :
( ( cGRP_RIGHT_UNIT @ X0 @ X1 )
& ( cGRP_RIGHT_INVERSE @ X0 @ X1 )
& ( cGRP_ASSOC @ X0 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,axiom,
( cGROUP3
= ( ^ [X0: g > g > g,X4: g] :
( ( cGRP_RIGHT_UNIT @ X0 @ X4 )
& ( cGRP_RIGHT_INVERSE @ X0 @ X4 )
& ( cGRP_ASSOC @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGROUP3_def) ).
thf(f35,plain,
( cGROUP2
= ( ^ [Y0: g > g > g,Y1: g] :
( ( ^ [Y2: g > g > g,Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ?? @ g
@ ^ [Y5: g] :
( ( Y2 @ Y5 @ Y4 )
= Y3 ) ) )
@ Y0
@ Y1 )
& ( ^ [Y2: g > g > g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( !! @ g
@ ^ [Y5: g] :
( ( Y2 @ Y3 @ ( Y2 @ Y4 @ Y5 ) )
= ( Y2 @ ( Y2 @ Y3 @ Y4 ) @ Y5 ) ) ) ) )
@ Y0 )
& ( ^ [Y2: g > g > g,Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y2 @ Y3 @ Y4 )
= Y4 ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f30,f27,f28,f31]) ).
thf(f31,plain,
( cGRP_LEFT_UNIT
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( Y0 @ Y1 @ Y2 )
= Y2 ) ) ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f20,plain,
( cGRP_LEFT_UNIT
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( Y0 @ Y1 @ Y2 )
= Y2 ) ) ) ),
inference(fool_elimination,[],[f19]) ).
thf(f19,plain,
( ( ^ [X0: g > g > g,X1: g] :
! [X2: g] :
( ( X0 @ X1 @ X2 )
= X2 ) )
= cGRP_LEFT_UNIT ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
( ( ^ [X0: g > g > g,X4: g] :
! [X1: g] :
( ( X0 @ X4 @ X1 )
= X1 ) )
= cGRP_LEFT_UNIT ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGRP_LEFT_UNIT_def) ).
thf(f27,plain,
( cGRP_LEFT_INVERSE
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y3 @ Y2 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
( cGRP_LEFT_INVERSE
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y3 @ Y2 )
= Y1 ) ) ) ) ),
inference(fool_elimination,[],[f11]) ).
thf(f11,plain,
( cGRP_LEFT_INVERSE
= ( ^ [X0: g > g > g,X1: g] :
! [X2: g] :
? [X3: g] :
( ( X0 @ X3 @ X2 )
= X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
( cGRP_LEFT_INVERSE
= ( ^ [X0: g > g > g,X4: g] :
! [X1: g] :
? [X2: g] :
( ( X0 @ X2 @ X1 )
= X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGRP_LEFT_INVERSE_def) ).
thf(f30,plain,
( cGROUP2
= ( ^ [Y0: g > g > g,Y1: g] :
( ( cGRP_LEFT_INVERSE @ Y0 @ Y1 )
& ( cGRP_ASSOC @ Y0 )
& ( cGRP_LEFT_UNIT @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f24,plain,
( cGROUP2
= ( ^ [Y0: g > g > g,Y1: g] :
( ( cGRP_LEFT_INVERSE @ Y0 @ Y1 )
& ( cGRP_ASSOC @ Y0 )
& ( cGRP_LEFT_UNIT @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f23]) ).
thf(f23,plain,
( cGROUP2
= ( ^ [X0: g > g > g,X1: g] :
( ( cGRP_LEFT_UNIT @ X0 @ X1 )
& ( cGRP_ASSOC @ X0 )
& ( cGRP_LEFT_INVERSE @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f6]) ).
thf(f6,axiom,
( cGROUP2
= ( ^ [X0: g > g > g,X4: g] :
( ( cGRP_LEFT_UNIT @ X0 @ X4 )
& ( cGRP_ASSOC @ X0 )
& ( cGRP_LEFT_INVERSE @ X0 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGROUP2_def) ).
thf(f33,plain,
( ( ~ ( !! @ g
@ ^ [Y0: g] :
( !! @ ( g > g > g )
@ ^ [Y1: g > g > g] :
( ( cGROUP2 @ Y1 @ Y0 )
= ( cGROUP3 @ Y1 @ Y0 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f18,plain,
( ( ~ ( !! @ g
@ ^ [Y0: g] :
( !! @ ( g > g > g )
@ ^ [Y1: g > g > g] :
( ( cGROUP2 @ Y1 @ Y0 )
= ( cGROUP3 @ Y1 @ Y0 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f17]) ).
thf(f17,plain,
~ ! [X0: g > g > g,X1: g] :
( ( cGROUP2 @ X0 @ X1 )
<=> ( cGROUP3 @ X0 @ X1 ) ),
inference(rectify,[],[f9]) ).
thf(f9,negated_conjecture,
~ ! [X0: g > g > g,X4: g] :
( ( cGROUP2 @ X0 @ X4 )
<=> ( cGROUP3 @ X0 @ X4 ) ),
inference(negated_conjecture,[],[f8]) ).
thf(f8,conjecture,
! [X0: g > g > g,X4: g] :
( ( cGROUP2 @ X0 @ X4 )
<=> ( cGROUP3 @ X0 @ X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEQUIV_02_03) ).
thf(f789,plain,
( ! [X0: g] :
( ( sK3 @ X0 @ sK2 )
= ( sK3 @ sK2 @ ( sK7 @ ( sK7 @ X0 ) ) ) )
| ~ spl0_4 ),
inference(superposition,[],[f747,f703]) ).
thf(f703,plain,
( ! [X1: g] :
( ( sK3 @ X1 @ ( sK7 @ X1 ) )
= sK2 )
| ~ spl0_4 ),
inference(equality_proxy_clausification,[],[f702]) ).
thf(f702,plain,
( ! [X1: g] :
( ( ( sK3 @ X1 @ ( sK7 @ X1 ) )
= sK2 )
= $true )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f701]) ).
thf(f701,plain,
( ! [X1: g] :
( $true
= ( ^ [Y0: g] :
( ( sK3 @ X1 @ Y0 )
= sK2 )
@ ( sK7 @ X1 ) ) )
| ~ spl0_4 ),
inference(sigma_clausification,[],[f700]) ).
thf(f700,plain,
( ! [X1: g] :
( ( ?? @ g
@ ^ [Y0: g] :
( ( sK3 @ X1 @ Y0 )
= sK2 ) )
= $true )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f699]) ).
thf(f699,plain,
( ! [X1: g] :
( $true
= ( ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) )
@ X1 ) )
| ~ spl0_4 ),
inference(pi_clausification,[],[f697]) ).
thf(f697,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
= $true )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f695]) ).
thf(f695,plain,
( ( ( $true
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) ) )
= $true )
| ~ spl0_4 ),
inference(backward_demodulation,[],[f678,f694]) ).
thf(f694,plain,
( ( $true
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f678]) ).
thf(f747,plain,
( ! [X0: g,X1: g] :
( ( sK3 @ X0 @ ( sK3 @ ( sK7 @ X0 ) @ X1 ) )
= ( sK3 @ sK2 @ X1 ) )
| ~ spl0_4 ),
inference(superposition,[],[f727,f703]) ).
thf(f727,plain,
( ! [X2: g,X3: g,X1: g] :
( ( sK3 @ ( sK3 @ X1 @ X2 ) @ X3 )
= ( sK3 @ X1 @ ( sK3 @ X2 @ X3 ) ) )
| ~ spl0_4 ),
inference(equality_proxy_clausification,[],[f726]) ).
thf(f726,plain,
( ! [X2: g,X3: g,X1: g] :
( $true
= ( ( sK3 @ X1 @ ( sK3 @ X2 @ X3 ) )
= ( sK3 @ ( sK3 @ X1 @ X2 ) @ X3 ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f725]) ).
thf(f725,plain,
( ! [X2: g,X3: g,X1: g] :
( ( ^ [Y0: g] :
( ( sK3 @ X1 @ ( sK3 @ X2 @ Y0 ) )
= ( sK3 @ ( sK3 @ X1 @ X2 ) @ Y0 ) )
@ X3 )
= $true )
| ~ spl0_4 ),
inference(pi_clausification,[],[f724]) ).
thf(f724,plain,
( ! [X2: g,X1: g] :
( ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ X1 @ ( sK3 @ X2 @ Y0 ) )
= ( sK3 @ ( sK3 @ X1 @ X2 ) @ Y0 ) ) )
= $true )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f723]) ).
thf(f723,plain,
( ! [X2: g,X1: g] :
( $true
= ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK3 @ X1 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ X1 @ Y0 ) @ Y1 ) ) )
@ X2 ) )
| ~ spl0_4 ),
inference(pi_clausification,[],[f722]) ).
thf(f722,plain,
( ! [X1: g] :
( $true
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK3 @ X1 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ X1 @ Y0 ) @ Y1 ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f721]) ).
thf(f721,plain,
( ! [X1: g] :
( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) )
@ X1 )
= $true )
| ~ spl0_4 ),
inference(pi_clausification,[],[f694]) ).
thf(f855,plain,
( ! [X0: g] :
( ( sK3 @ sK2 @ ( sK3 @ sK2 @ ( sK7 @ ( sK7 @ X0 ) ) ) )
= X0 )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f853,f685]) ).
thf(f853,plain,
( ! [X0: g] :
( ( sK3 @ sK2 @ ( sK3 @ sK2 @ ( sK7 @ ( sK7 @ X0 ) ) ) )
= ( sK3 @ X0 @ sK2 ) )
| ~ spl0_4 ),
inference(superposition,[],[f747,f811]) ).
thf(f811,plain,
( ! [X0: g] :
( ( sK3 @ X0 @ ( sK3 @ sK2 @ ( sK7 @ X0 ) ) )
= sK2 )
| ~ spl0_4 ),
inference(superposition,[],[f751,f685]) ).
thf(f751,plain,
( ! [X0: g,X1: g] :
( ( sK3 @ X0 @ ( sK3 @ X1 @ ( sK7 @ ( sK3 @ X0 @ X1 ) ) ) )
= sK2 )
| ~ spl0_4 ),
inference(superposition,[],[f703,f727]) ).
thf(f1042,plain,
( ( $false
= ( ( sK3 @ sK2 @ sK9 )
= sK9 ) )
| ~ spl0_8 ),
inference(beta_eta_normalization,[],[f1041]) ).
thf(f1041,plain,
( ( $false
= ( ^ [Y0: g] :
( ( sK3 @ sK2 @ Y0 )
= Y0 )
@ sK9 ) )
| ~ spl0_8 ),
inference(sigma_clausification,[],[f712]) ).
thf(f712,plain,
( ( $false
= ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f711]) ).
thf(f711,plain,
( spl0_8
<=> ( $false
= ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
thf(f1037,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1036]) ).
thf(f1036,plain,
( $false
| ~ spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1005,f1034]) ).
thf(f1034,plain,
( ! [X0: g,X1: g] :
( ( sK3 @ X0 @ X1 )
!= sK2 )
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1013,f685]) ).
thf(f1013,plain,
( ! [X0: g,X1: g] :
( ( sK3 @ X0 @ ( sK3 @ X1 @ sK2 ) )
!= sK2 )
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f762,f844]) ).
thf(f844,plain,
( ! [X0: g] :
( ( sK3 @ ( sK7 @ X0 ) @ X0 )
= sK2 )
| ~ spl0_4 ),
inference(superposition,[],[f811,f801]) ).
thf(f762,plain,
( ! [X2: g,X0: g,X1: g] :
( ( sK3 @ X2 @ ( sK3 @ X0 @ ( sK3 @ X1 @ sK8 ) ) )
!= sK2 )
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f753,f727]) ).
thf(f753,plain,
( ! [X0: g,X1: g] :
( ( sK3 @ X0 @ ( sK3 @ X1 @ sK8 ) )
!= sK2 )
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f720,f727]) ).
thf(f720,plain,
( ! [X1: g] :
( ( sK3 @ X1 @ sK8 )
!= sK2 )
| ~ spl0_7 ),
inference(equality_proxy_clausification,[],[f719]) ).
thf(f719,plain,
( ! [X1: g] :
( $false
= ( ( sK3 @ X1 @ sK8 )
= sK2 ) )
| ~ spl0_7 ),
inference(beta_eta_normalization,[],[f718]) ).
thf(f718,plain,
( ! [X1: g] :
( ( ^ [Y0: g] :
( ( sK3 @ Y0 @ sK8 )
= sK2 )
@ X1 )
= $false )
| ~ spl0_7 ),
inference(pi_clausification,[],[f717]) ).
thf(f717,plain,
( ( $false
= ( ?? @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK8 )
= sK2 ) ) )
| ~ spl0_7 ),
inference(beta_eta_normalization,[],[f716]) ).
thf(f716,plain,
( ( $false
= ( ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) )
@ sK8 ) )
| ~ spl0_7 ),
inference(sigma_clausification,[],[f709]) ).
thf(f709,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
= $false )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f708]) ).
thf(f708,plain,
( spl0_7
<=> ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
thf(f1005,plain,
( ! [X0: g] :
( ( sK3 @ ( sK7 @ X0 ) @ ( sK3 @ X0 @ ( sK7 @ sK2 ) ) )
= sK2 )
| ~ spl0_4 ),
inference(superposition,[],[f751,f844]) ).
thf(f713,plain,
( spl0_7
| spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f706,f60,f711,f708]) ).
thf(f706,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
= $false )
| ( $false
= ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f698]) ).
thf(f698,plain,
( ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
= $false )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f696]) ).
thf(f696,plain,
( ( $false
= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
& $true
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) ) )
| ~ spl0_4 ),
inference(backward_demodulation,[],[f61,f694]) ).
thf(f647,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f646]) ).
thf(f646,plain,
( $false
| ~ spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f645]) ).
thf(f645,plain,
( ( $false = $true )
| ~ spl0_2
| ~ spl0_6 ),
inference(boolean_simplification,[],[f632]) ).
thf(f632,plain,
( ( ( sK2 = sK2 )
= $false )
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f284,f426]) ).
thf(f426,plain,
( ! [X0: g] :
( ( sK3 @ X0 @ ( sK5 @ X0 ) )
= sK2 )
| ~ spl0_2 ),
inference(superposition,[],[f303,f346]) ).
thf(f346,plain,
( ! [X0: g,X1: g] :
( ( sK3 @ ( sK5 @ ( sK5 @ X0 ) ) @ X1 )
= ( sK3 @ X0 @ X1 ) )
| ~ spl0_2 ),
inference(superposition,[],[f339,f339]) ).
thf(f339,plain,
( ! [X0: g,X1: g] :
( ( sK3 @ ( sK5 @ X0 ) @ ( sK3 @ X0 @ X1 ) )
= X1 )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f337,f292]) ).
thf(f292,plain,
( ! [X1: g] :
( ( sK3 @ sK2 @ X1 )
= X1 )
| ~ spl0_2 ),
inference(equality_proxy_clausification,[],[f291]) ).
thf(f291,plain,
( ! [X1: g] :
( ( ( sK3 @ sK2 @ X1 )
= X1 )
= $true )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f290]) ).
thf(f290,plain,
( ! [X1: g] :
( ( ^ [Y0: g] :
( ( sK3 @ sK2 @ Y0 )
= Y0 )
@ X1 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f289]) ).
thf(f289,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ sK2 @ Y0 )
= Y0 ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f288]) ).
thf(f288,plain,
( ( ( $true
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
= $true )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f54,f287]) ).
thf(f287,plain,
( ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f54]) ).
thf(f54,plain,
( ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
= $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
thf(f53,plain,
( spl0_2
<=> ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f337,plain,
( ! [X0: g,X1: g] :
( ( sK3 @ sK2 @ X1 )
= ( sK3 @ ( sK5 @ X0 ) @ ( sK3 @ X0 @ X1 ) ) )
| ~ spl0_2 ),
inference(superposition,[],[f312,f303]) ).
thf(f312,plain,
( ! [X2: g,X3: g,X1: g] :
( ( sK3 @ ( sK3 @ X1 @ X2 ) @ X3 )
= ( sK3 @ X1 @ ( sK3 @ X2 @ X3 ) ) )
| ~ spl0_2 ),
inference(equality_proxy_clausification,[],[f311]) ).
thf(f311,plain,
( ! [X2: g,X3: g,X1: g] :
( $true
= ( ( sK3 @ X1 @ ( sK3 @ X2 @ X3 ) )
= ( sK3 @ ( sK3 @ X1 @ X2 ) @ X3 ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f310]) ).
thf(f310,plain,
( ! [X2: g,X3: g,X1: g] :
( ( ^ [Y0: g] :
( ( sK3 @ X1 @ ( sK3 @ X2 @ Y0 ) )
= ( sK3 @ ( sK3 @ X1 @ X2 ) @ Y0 ) )
@ X3 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f309]) ).
thf(f309,plain,
( ! [X2: g,X1: g] :
( ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ X1 @ ( sK3 @ X2 @ Y0 ) )
= ( sK3 @ ( sK3 @ X1 @ X2 ) @ Y0 ) ) )
= $true )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f308]) ).
thf(f308,plain,
( ! [X2: g,X1: g] :
( $true
= ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK3 @ X1 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ X1 @ Y0 ) @ Y1 ) ) )
@ X2 ) )
| ~ spl0_2 ),
inference(pi_clausification,[],[f307]) ).
thf(f307,plain,
( ! [X1: g] :
( $true
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK3 @ X1 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ X1 @ Y0 ) @ Y1 ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f306]) ).
thf(f306,plain,
( ! [X1: g] :
( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) )
@ X1 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f295]) ).
thf(f295,plain,
( ( $true
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f287]) ).
thf(f303,plain,
( ! [X1: g] :
( ( sK3 @ ( sK5 @ X1 ) @ X1 )
= sK2 )
| ~ spl0_2 ),
inference(equality_proxy_clausification,[],[f302]) ).
thf(f302,plain,
( ! [X1: g] :
( ( ( sK3 @ ( sK5 @ X1 ) @ X1 )
= sK2 )
= $true )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f301]) ).
thf(f301,plain,
( ! [X1: g] :
( ( ^ [Y0: g] :
( ( sK3 @ Y0 @ X1 )
= sK2 )
@ ( sK5 @ X1 ) )
= $true )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f300]) ).
thf(f300,plain,
( ! [X1: g] :
( $true
= ( ?? @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ X1 )
= sK2 ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f299]) ).
thf(f299,plain,
( ! [X1: g] :
( ( ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) )
@ X1 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f298]) ).
thf(f298,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f297]) ).
thf(f297,plain,
( ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
& $true )
= $true )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f287,f295]) ).
thf(f284,plain,
( ! [X1: g] :
( $false
= ( ( sK3 @ sK6 @ X1 )
= sK2 ) )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f283]) ).
thf(f283,plain,
( ! [X1: g] :
( ( ^ [Y0: g] :
( ( sK3 @ sK6 @ Y0 )
= sK2 )
@ X1 )
= $false )
| ~ spl0_6 ),
inference(pi_clausification,[],[f282]) ).
thf(f282,plain,
( ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK3 @ sK6 @ Y0 )
= sK2 ) )
= $false )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f281]) ).
thf(f281,plain,
( ( $false
= ( ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) )
@ sK6 ) )
| ~ spl0_6 ),
inference(sigma_clausification,[],[f86]) ).
thf(f86,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
= $false )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f85]) ).
thf(f85,plain,
( spl0_6
<=> ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f266,plain,
( ~ spl0_2
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f265]) ).
thf(f265,plain,
( $false
| ~ spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f264]) ).
thf(f264,plain,
( ( $false = $true )
| ~ spl0_2
| ~ spl0_5 ),
inference(boolean_simplification,[],[f258]) ).
thf(f258,plain,
( ( ( sK4 = sK4 )
= $false )
| ~ spl0_2
| ~ spl0_5 ),
inference(backward_demodulation,[],[f98,f243]) ).
thf(f243,plain,
( ! [X0: g] :
( ( sK3 @ X0 @ sK2 )
= X0 )
| ~ spl0_2 ),
inference(equality_proxy_clausification,[],[f165]) ).
thf(f165,plain,
( ! [X0: g] :
( ( ( sK3 @ X0 @ sK2 )
= X0 )
= $true )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f152,f163]) ).
thf(f163,plain,
( ! [X0: g,X1: g] :
( ( sK3 @ ( sK5 @ ( sK5 @ X0 ) ) @ X1 )
= ( sK3 @ X0 @ X1 ) )
| ~ spl0_2 ),
inference(superposition,[],[f150,f150]) ).
thf(f150,plain,
( ! [X0: g,X1: g] :
( ( sK3 @ ( sK5 @ X0 ) @ ( sK3 @ X0 @ X1 ) )
= X1 )
| ~ spl0_2 ),
inference(equality_proxy_clausification,[],[f141]) ).
thf(f141,plain,
( ! [X0: g,X1: g] :
( $true
= ( ( sK3 @ ( sK5 @ X0 ) @ ( sK3 @ X0 @ X1 ) )
= X1 ) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f128,f110]) ).
thf(f110,plain,
( ! [X1: g] :
( ( sK3 @ sK2 @ X1 )
= X1 )
| ~ spl0_2 ),
inference(equality_proxy_clausification,[],[f105]) ).
thf(f105,plain,
( ! [X1: g] :
( ( ( sK3 @ sK2 @ X1 )
= X1 )
= $true )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f104]) ).
thf(f104,plain,
( ! [X1: g] :
( ( ^ [Y0: g] :
( ( sK3 @ sK2 @ Y0 )
= Y0 )
@ X1 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f100]) ).
thf(f100,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ sK2 @ Y0 )
= Y0 ) )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f54]) ).
thf(f128,plain,
( ! [X0: g,X1: g] :
( $true
= ( ( sK3 @ ( sK5 @ X0 ) @ ( sK3 @ X0 @ X1 ) )
= ( sK3 @ sK2 @ X1 ) ) )
| ~ spl0_2 ),
inference(superposition,[],[f125,f117]) ).
thf(f117,plain,
( ! [X1: g] :
( ( sK3 @ ( sK5 @ X1 ) @ X1 )
= sK2 )
| ~ spl0_2 ),
inference(equality_proxy_clausification,[],[f116]) ).
thf(f116,plain,
( ! [X1: g] :
( ( ( sK3 @ ( sK5 @ X1 ) @ X1 )
= sK2 )
= $true )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f115]) ).
thf(f115,plain,
( ! [X1: g] :
( ( ^ [Y0: g] :
( ( sK3 @ Y0 @ X1 )
= sK2 )
@ ( sK5 @ X1 ) )
= $true )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f114]) ).
thf(f114,plain,
( ! [X1: g] :
( $true
= ( ?? @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ X1 )
= sK2 ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f113]) ).
thf(f113,plain,
( ! [X1: g] :
( ( ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) )
@ X1 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f109]) ).
thf(f109,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f108]) ).
thf(f108,plain,
( ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
& $true )
= $true )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f103,f106]) ).
thf(f106,plain,
( ( $true
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f103]) ).
thf(f103,plain,
( ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f102]) ).
thf(f102,plain,
( ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) )
& $true )
= $true )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f54,f100]) ).
thf(f125,plain,
( ! [X2: g,X3: g,X1: g] :
( $true
= ( ( sK3 @ X1 @ ( sK3 @ X2 @ X3 ) )
= ( sK3 @ ( sK3 @ X1 @ X2 ) @ X3 ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f124]) ).
thf(f124,plain,
( ! [X2: g,X3: g,X1: g] :
( ( ^ [Y0: g] :
( ( sK3 @ X1 @ ( sK3 @ X2 @ Y0 ) )
= ( sK3 @ ( sK3 @ X1 @ X2 ) @ Y0 ) )
@ X3 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f123]) ).
thf(f123,plain,
( ! [X2: g,X1: g] :
( ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ X1 @ ( sK3 @ X2 @ Y0 ) )
= ( sK3 @ ( sK3 @ X1 @ X2 ) @ Y0 ) ) )
= $true )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f122]) ).
thf(f122,plain,
( ! [X2: g,X1: g] :
( $true
= ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK3 @ X1 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ X1 @ Y0 ) @ Y1 ) ) )
@ X2 ) )
| ~ spl0_2 ),
inference(pi_clausification,[],[f121]) ).
thf(f121,plain,
( ! [X1: g] :
( $true
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK3 @ X1 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ X1 @ Y0 ) @ Y1 ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f120]) ).
thf(f120,plain,
( ! [X1: g] :
( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) )
@ X1 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f106]) ).
thf(f152,plain,
( ! [X0: g] :
( $true
= ( ( sK3 @ ( sK5 @ ( sK5 @ X0 ) ) @ sK2 )
= X0 ) )
| ~ spl0_2 ),
inference(superposition,[],[f141,f117]) ).
thf(f98,plain,
( ( ( ( sK3 @ sK4 @ sK2 )
= sK4 )
= $false )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f97]) ).
thf(f97,plain,
( ( ( ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 )
@ sK4 )
= $false )
| ~ spl0_5 ),
inference(sigma_clausification,[],[f83]) ).
thf(f83,plain,
( ( $false
= ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f82]) ).
thf(f82,plain,
( spl0_5
<=> ( $false
= ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f91,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f90]) ).
thf(f90,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f89]) ).
thf(f89,plain,
( ( $false = $true )
| ~ spl0_1
| ~ spl0_3 ),
inference(backward_demodulation,[],[f51,f58]) ).
thf(f58,plain,
( ( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) ) )
= $false )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f57]) ).
thf(f57,plain,
( spl0_3
<=> ( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f51,plain,
( ( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) ) )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f50]) ).
thf(f50,plain,
( spl0_1
<=> ( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f87,plain,
( spl0_5
| spl0_6
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f80,f57,f53,f85,f82]) ).
thf(f80,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
= $false )
| ( $false
= ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f76]) ).
thf(f76,plain,
( ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) ) )
= $false )
| ~ spl0_2
| ~ spl0_3 ),
inference(boolean_simplification,[],[f75]) ).
thf(f75,plain,
( ( ( $true
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) ) )
= $false )
| ~ spl0_2
| ~ spl0_3 ),
inference(backward_demodulation,[],[f58,f74]) ).
thf(f74,plain,
( ( $true
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f73]) ).
thf(f73,plain,
( ( ( $true
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f68,f72]) ).
thf(f72,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f68]) ).
thf(f68,plain,
( ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f67]) ).
thf(f67,plain,
( ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) )
& $true )
= $true )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f54,f65]) ).
thf(f65,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ sK2 @ Y0 )
= Y0 ) )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f54]) ).
thf(f62,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f48,f60,f57]) ).
thf(f48,plain,
( ( $false
= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) ) )
| ( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f46]) ).
thf(f55,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f47,f53,f50]) ).
thf(f47,plain,
( ( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
= $true )
| ( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y0 @ ( sK3 @ Y1 @ Y2 ) )
= ( sK3 @ ( sK3 @ Y0 @ Y1 ) @ Y2 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG273^5 : TPTP v8.2.0. Bugfixed v5.3.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat May 18 22:47:07 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a TH0_THM_EQU_NAR problem
% 0.11/0.33 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.34 % (6044)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.34 % (6045)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.34 % (6048)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.11/0.34 % (6041)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.11/0.34 % (6042)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 theBenchmark for (2999ds/4Mi)
% 0.11/0.34 % (6043)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 theBenchmark for (2999ds/27Mi)
% 0.11/0.34 % (6044)Instruction limit reached!
% 0.11/0.34 % (6044)------------------------------
% 0.11/0.34 % (6044)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (6046)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.11/0.34 % (6044)Termination reason: Unknown
% 0.11/0.34 % (6044)Termination phase: shuffling
% 0.11/0.34 % (6045)Instruction limit reached!
% 0.11/0.34 % (6045)------------------------------
% 0.11/0.34 % (6045)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (6045)Termination reason: Unknown
% 0.11/0.34 % (6045)Termination phase: shuffling
% 0.11/0.34
% 0.11/0.34 % (6045)Memory used [KB]: 895
% 0.11/0.34 % (6045)Time elapsed: 0.002 s
% 0.11/0.34 % (6045)Instructions burned: 2 (million)
% 0.11/0.34 % (6045)------------------------------
% 0.11/0.34 % (6045)------------------------------
% 0.11/0.34
% 0.11/0.34 % (6047)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.11/0.34 % (6044)Memory used [KB]: 895
% 0.11/0.34 % (6044)Time elapsed: 0.002 s
% 0.11/0.34 % (6044)Instructions burned: 2 (million)
% 0.11/0.34 % (6044)------------------------------
% 0.11/0.34 % (6044)------------------------------
% 0.11/0.34 % (6048)Instruction limit reached!
% 0.11/0.34 % (6048)------------------------------
% 0.11/0.34 % (6048)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (6048)Termination reason: Unknown
% 0.11/0.34 % (6048)Termination phase: Saturation
% 0.11/0.34
% 0.11/0.34 % (6048)Memory used [KB]: 5500
% 0.11/0.34 % (6048)Time elapsed: 0.003 s
% 0.11/0.34 % (6048)Instructions burned: 4 (million)
% 0.11/0.34 % (6048)------------------------------
% 0.11/0.34 % (6048)------------------------------
% 0.11/0.34 % (6042)Instruction limit reached!
% 0.11/0.34 % (6042)------------------------------
% 0.11/0.34 % (6042)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (6042)Termination reason: Unknown
% 0.11/0.34 % (6042)Termination phase: Saturation
% 0.11/0.34
% 0.11/0.34 % (6042)Memory used [KB]: 5500
% 0.11/0.34 % (6042)Time elapsed: 0.004 s
% 0.11/0.34 % (6042)Instructions burned: 5 (million)
% 0.11/0.34 % (6042)------------------------------
% 0.11/0.34 % (6042)------------------------------
% 0.16/0.35 % (6047)Instruction limit reached!
% 0.16/0.35 % (6047)------------------------------
% 0.16/0.35 % (6047)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.35 % (6047)Termination reason: Unknown
% 0.16/0.35 % (6047)Termination phase: Saturation
% 0.16/0.35
% 0.16/0.35 % (6047)Memory used [KB]: 5628
% 0.16/0.35 % (6047)Time elapsed: 0.010 s
% 0.16/0.35 % (6047)Instructions burned: 18 (million)
% 0.16/0.35 % (6047)------------------------------
% 0.16/0.35 % (6047)------------------------------
% 0.16/0.36 % (6049)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 theBenchmark for (2999ds/37Mi)
% 0.16/0.36 % (6043)Instruction limit reached!
% 0.16/0.36 % (6043)------------------------------
% 0.16/0.36 % (6043)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.36 % (6043)Termination reason: Unknown
% 0.16/0.36 % (6043)Termination phase: Saturation
% 0.16/0.36
% 0.16/0.36 % (6043)Memory used [KB]: 5756
% 0.16/0.36 % (6043)Time elapsed: 0.015 s
% 0.16/0.36 % (6043)Instructions burned: 27 (million)
% 0.16/0.36 % (6043)------------------------------
% 0.16/0.36 % (6043)------------------------------
% 0.16/0.36 % (6050)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 theBenchmark for (2999ds/15Mi)
% 0.16/0.36 % (6051)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.36 % (6052)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 theBenchmark for (2999ds/1041Mi)
% 0.16/0.36 % (6051)Instruction limit reached!
% 0.16/0.36 % (6051)------------------------------
% 0.16/0.36 % (6051)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.36 % (6051)Termination reason: Unknown
% 0.16/0.36 % (6051)Termination phase: Saturation
% 0.16/0.36
% 0.16/0.36 % (6051)Memory used [KB]: 5500
% 0.16/0.36 % (6051)Time elapsed: 0.003 s
% 0.16/0.36 % (6051)Instructions burned: 4 (million)
% 0.16/0.36 % (6051)------------------------------
% 0.16/0.36 % (6051)------------------------------
% 0.16/0.36 % (6050)Instruction limit reached!
% 0.16/0.36 % (6050)------------------------------
% 0.16/0.36 % (6050)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.36 % (6050)Termination reason: Unknown
% 0.16/0.36 % (6050)Termination phase: Saturation
% 0.16/0.36
% 0.16/0.36 % (6050)Memory used [KB]: 5628
% 0.16/0.36 % (6050)Time elapsed: 0.009 s
% 0.16/0.36 % (6050)Instructions burned: 16 (million)
% 0.16/0.36 % (6050)------------------------------
% 0.16/0.36 % (6050)------------------------------
% 0.16/0.36 % (6053)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.37 % (6053)Instruction limit reached!
% 0.16/0.37 % (6053)------------------------------
% 0.16/0.37 % (6053)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.37 % (6053)Termination reason: Unknown
% 0.16/0.37 % (6053)Termination phase: Saturation
% 0.16/0.37
% 0.16/0.37 % (6053)Memory used [KB]: 1023
% 0.16/0.37 % (6053)Time elapsed: 0.005 s
% 0.16/0.37 % (6053)Instructions burned: 7 (million)
% 0.16/0.37 % (6053)------------------------------
% 0.16/0.37 % (6053)------------------------------
% 0.16/0.37 % (6054)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.16/0.37 % (6055)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 theBenchmark for (2999ds/3Mi)
% 0.16/0.37 % (6055)Instruction limit reached!
% 0.16/0.37 % (6055)------------------------------
% 0.16/0.37 % (6055)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.37 % (6055)Termination reason: Unknown
% 0.16/0.37 % (6055)Termination phase: Property scanning
% 0.16/0.37
% 0.16/0.37 % (6055)Memory used [KB]: 1023
% 0.16/0.37 % (6055)Time elapsed: 0.003 s
% 0.16/0.37 % (6055)Instructions burned: 4 (million)
% 0.16/0.37 % (6055)------------------------------
% 0.16/0.37 % (6055)------------------------------
% 0.16/0.37 % (6049)Instruction limit reached!
% 0.16/0.37 % (6049)------------------------------
% 0.16/0.37 % (6049)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.37 % (6049)Termination reason: Unknown
% 0.16/0.37 % (6049)Termination phase: Saturation
% 0.16/0.37
% 0.16/0.37 % (6049)Memory used [KB]: 5756
% 0.16/0.37 % (6049)Time elapsed: 0.020 s
% 0.16/0.37 % (6049)Instructions burned: 38 (million)
% 0.16/0.37 % (6049)------------------------------
% 0.16/0.37 % (6049)------------------------------
% 0.16/0.38 % (6056)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 theBenchmark for (2999ds/3Mi)
% 0.16/0.38 % (6054)Instruction limit reached!
% 0.16/0.38 % (6054)------------------------------
% 0.16/0.38 % (6054)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38 % (6054)Termination reason: Unknown
% 0.16/0.38 % (6054)Termination phase: Saturation
% 0.16/0.38
% 0.16/0.38 % (6054)Memory used [KB]: 5756
% 0.16/0.38 % (6054)Time elapsed: 0.010 s
% 0.16/0.38 % (6054)Instructions burned: 16 (million)
% 0.16/0.38 % (6054)------------------------------
% 0.16/0.38 % (6054)------------------------------
% 0.16/0.38 % (6056)Instruction limit reached!
% 0.16/0.38 % (6056)------------------------------
% 0.16/0.38 % (6056)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38 % (6056)Termination reason: Unknown
% 0.16/0.38 % (6056)Termination phase: Property scanning
% 0.16/0.38
% 0.16/0.38 % (6056)Memory used [KB]: 1023
% 0.16/0.38 % (6056)Time elapsed: 0.003 s
% 0.16/0.38 % (6056)Instructions burned: 3 (million)
% 0.16/0.38 % (6056)------------------------------
% 0.16/0.38 % (6056)------------------------------
% 0.16/0.38 % (6057)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.38 % (6057)Instruction limit reached!
% 0.16/0.38 % (6057)------------------------------
% 0.16/0.38 % (6057)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38 % (6057)Termination reason: Unknown
% 0.16/0.38 % (6057)Termination phase: Saturation
% 0.16/0.38
% 0.16/0.38 % (6057)Memory used [KB]: 5500
% 0.16/0.38 % (6057)Time elapsed: 0.005 s
% 0.16/0.38 % (6057)Instructions burned: 7 (million)
% 0.16/0.38 % (6057)------------------------------
% 0.16/0.38 % (6057)------------------------------
% 0.16/0.39 % (6058)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.39 % (6059)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.16/0.39 % (6058)Instruction limit reached!
% 0.16/0.39 % (6058)------------------------------
% 0.16/0.39 % (6058)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (6058)Termination reason: Unknown
% 0.16/0.39 % (6058)Termination phase: Saturation
% 0.16/0.39
% 0.16/0.39 % (6058)Memory used [KB]: 5500
% 0.16/0.39 % (6058)Time elapsed: 0.003 s
% 0.16/0.39 % (6058)Instructions burned: 4 (million)
% 0.16/0.39 % (6058)------------------------------
% 0.16/0.39 % (6058)------------------------------
% 0.16/0.39 % (6059)Instruction limit reached!
% 0.16/0.39 % (6059)------------------------------
% 0.16/0.39 % (6059)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (6059)Termination reason: Unknown
% 0.16/0.39 % (6059)Termination phase: Saturation
% 0.16/0.39
% 0.16/0.39 % (6059)Memory used [KB]: 5500
% 0.16/0.39 % (6059)Time elapsed: 0.004 s
% 0.16/0.39 % (6059)Instructions burned: 5 (million)
% 0.16/0.39 % (6059)------------------------------
% 0.16/0.39 % (6059)------------------------------
% 0.16/0.39 % (6060)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.39 % (6061)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.16/0.40 % (6062)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.16/0.40 % (6062)Instruction limit reached!
% 0.16/0.40 % (6062)------------------------------
% 0.16/0.40 % (6062)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (6062)Termination reason: Unknown
% 0.16/0.40 % (6062)Termination phase: Saturation
% 0.16/0.40
% 0.16/0.40 % (6062)Memory used [KB]: 5500
% 0.16/0.40 % (6062)Time elapsed: 0.004 s
% 0.16/0.40 % (6062)Instructions burned: 6 (million)
% 0.16/0.40 % (6062)------------------------------
% 0.16/0.40 % (6062)------------------------------
% 0.16/0.40 % (6060)Instruction limit reached!
% 0.16/0.40 % (6060)------------------------------
% 0.16/0.40 % (6060)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (6060)Termination reason: Unknown
% 0.16/0.40 % (6060)Termination phase: Saturation
% 0.16/0.40
% 0.16/0.40 % (6060)Memory used [KB]: 5628
% 0.16/0.40 % (6060)Time elapsed: 0.035 s
% 0.16/0.40 % (6060)Instructions burned: 18 (million)
% 0.16/0.40 % (6060)------------------------------
% 0.16/0.40 % (6060)------------------------------
% 0.16/0.40 % (6063)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 theBenchmark for (2999ds/902Mi)
% 0.16/0.40 % (6064)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 theBenchmark for (2999ds/21Mi)
% 0.16/0.40 % (6063)Refutation not found, incomplete strategy
% 0.16/0.40 % (6063)------------------------------
% 0.16/0.40 % (6063)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (6063)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.40
% 0.16/0.40
% 0.16/0.40 % (6063)Memory used [KB]: 5500
% 0.16/0.40 % (6063)Time elapsed: 0.003 s
% 0.16/0.40 % (6063)Instructions burned: 3 (million)
% 0.16/0.40 % (6063)------------------------------
% 0.16/0.40 % (6063)------------------------------
% 0.16/0.41 % (6064)Instruction limit reached!
% 0.16/0.41 % (6064)------------------------------
% 0.16/0.41 % (6064)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (6064)Termination reason: Unknown
% 0.16/0.41 % (6064)Termination phase: Saturation
% 0.16/0.41
% 0.16/0.41 % (6064)Memory used [KB]: 5628
% 0.16/0.41 % (6064)Time elapsed: 0.012 s
% 0.16/0.41 % (6064)Instructions burned: 21 (million)
% 0.16/0.41 % (6064)------------------------------
% 0.16/0.41 % (6064)------------------------------
% 0.16/0.41 % (6065)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.16/0.41 % (6066)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 theBenchmark for (2999ds/6Mi)
% 0.16/0.41 % (6065)Instruction limit reached!
% 0.16/0.41 % (6065)------------------------------
% 0.16/0.41 % (6065)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (6065)Termination reason: Unknown
% 0.16/0.41 % (6065)Termination phase: Saturation
% 0.16/0.41
% 0.16/0.42 % (6065)Memory used [KB]: 5500
% 0.16/0.42 % (6065)Time elapsed: 0.005 s
% 0.16/0.42 % (6066)Instruction limit reached!
% 0.16/0.42 % (6066)------------------------------
% 0.16/0.42 % (6066)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (6065)Instructions burned: 6 (million)
% 0.16/0.42 % (6065)------------------------------
% 0.16/0.42 % (6065)------------------------------
% 0.16/0.42 % (6066)Termination reason: Unknown
% 0.16/0.42 % (6066)Termination phase: Saturation
% 0.16/0.42
% 0.16/0.42 % (6066)Memory used [KB]: 5500
% 0.16/0.42 % (6066)Time elapsed: 0.005 s
% 0.16/0.42 % (6066)Instructions burned: 6 (million)
% 0.16/0.42 % (6066)------------------------------
% 0.16/0.42 % (6066)------------------------------
% 0.16/0.42 % (6067)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.16/0.42 % (6068)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 theBenchmark for (2999ds/779Mi)
% 0.16/0.43 % (6069)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 theBenchmark for (2999ds/19Mi)
% 0.16/0.43 % (6070)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.16/0.43 % (6041)Instruction limit reached!
% 0.16/0.43 % (6041)------------------------------
% 0.16/0.43 % (6041)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43 % (6041)Termination reason: Unknown
% 0.16/0.43 % (6041)Termination phase: Saturation
% 0.16/0.43
% 0.16/0.43 % (6041)Memory used [KB]: 6908
% 0.16/0.43 % (6041)Time elapsed: 0.092 s
% 0.16/0.43 % (6041)Instructions burned: 183 (million)
% 0.16/0.43 % (6041)------------------------------
% 0.16/0.43 % (6041)------------------------------
% 0.16/0.44 % (6069)Instruction limit reached!
% 0.16/0.44 % (6069)------------------------------
% 0.16/0.44 % (6069)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44 % (6069)Termination reason: Unknown
% 0.16/0.44 % (6069)Termination phase: Saturation
% 0.16/0.44
% 0.16/0.44 % (6069)Memory used [KB]: 5628
% 0.16/0.44 % (6069)Time elapsed: 0.011 s
% 0.16/0.44 % (6069)Instructions burned: 20 (million)
% 0.16/0.44 % (6069)------------------------------
% 0.16/0.44 % (6069)------------------------------
% 0.16/0.45 % (6071)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.16/0.45 % (6072)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.16/0.45 % (6072)Instruction limit reached!
% 0.16/0.45 % (6072)------------------------------
% 0.16/0.45 % (6072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.45 % (6072)Termination reason: Unknown
% 0.16/0.45 % (6072)Termination phase: Saturation
% 0.16/0.45
% 0.16/0.45 % (6072)Memory used [KB]: 1023
% 0.16/0.45 % (6072)Time elapsed: 0.004 s
% 0.16/0.45 % (6072)Instructions burned: 4 (million)
% 0.16/0.45 % (6072)------------------------------
% 0.16/0.45 % (6072)------------------------------
% 0.16/0.45 % (6071)Instruction limit reached!
% 0.16/0.45 % (6071)------------------------------
% 0.16/0.45 % (6071)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.45 % (6071)Termination reason: Unknown
% 0.16/0.45 % (6071)Termination phase: Saturation
% 0.16/0.45
% 0.16/0.45 % (6071)Memory used [KB]: 5628
% 0.16/0.45 % (6071)Time elapsed: 0.011 s
% 0.16/0.45 % (6071)Instructions burned: 19 (million)
% 0.16/0.45 % (6071)------------------------------
% 0.16/0.45 % (6071)------------------------------
% 0.16/0.46 % (6052)First to succeed.
% 0.16/0.47 % (6073)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.16/0.47 % (6074)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.16/0.47 % (6068)Also succeeded, but the first one will report.
% 0.16/0.47 % (6052)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Theorem for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (6052)------------------------------
% 0.16/0.47 % (6052)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.47 % (6052)Termination reason: Refutation
% 0.16/0.47
% 0.16/0.47 % (6052)Memory used [KB]: 6140
% 0.16/0.47 % (6052)Time elapsed: 0.133 s
% 0.16/0.47 % (6052)Instructions burned: 210 (million)
% 0.16/0.47 % (6052)------------------------------
% 0.16/0.47 % (6052)------------------------------
% 0.16/0.47 % (6040)Success in time 0.139 s
% 0.16/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------