TSTP Solution File: SEV010^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV010^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.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 : Tue May 21 04:11:41 EDT 2024
% Result : Theorem 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 25
% Syntax : Number of formulae : 151 ( 33 unt; 14 typ; 0 def)
% Number of atoms : 1068 ( 219 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 2323 ( 133 ~; 124 |; 182 &;1372 @)
% ( 19 <=>; 170 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 124 ( 124 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 22 usr; 22 con; 0-2 aty)
% ( 238 !!; 85 ??; 0 @@+; 0 @@-)
% Number of variables : 370 ( 274 ^ 80 !; 15 ?; 370 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_19,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_20,type,
sK2: a > a > $o ).
thf(func_def_21,type,
sK3: a ).
thf(func_def_22,type,
sK4: a > $o ).
thf(func_def_23,type,
sK5: a ).
thf(func_def_24,type,
sK6: a ).
thf(func_def_25,type,
sK7: a > $o ).
thf(func_def_26,type,
sK8: a ).
thf(func_def_27,type,
sK9: a ).
thf(func_def_28,type,
sK10: a ).
thf(func_def_29,type,
sK11: a ).
thf(func_def_30,type,
sK12: a ).
thf(f1087,plain,
$false,
inference(avatar_sat_refutation,[],[f45,f77,f117,f211,f233,f343,f350,f442,f445,f449,f915,f1086]) ).
thf(f1086,plain,
( ~ spl0_10
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1085]) ).
thf(f1085,plain,
( $false
| ~ spl0_10
| ~ spl0_16
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1084]) ).
thf(f1084,plain,
( ( $true = $false )
| ~ spl0_10
| ~ spl0_16
| ~ spl0_18 ),
inference(boolean_simplification,[],[f1083]) ).
thf(f1083,plain,
( ( $true = ~ $true )
| ~ spl0_10
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1077,f349]) ).
thf(f349,plain,
( ( $true
= ( sK2 @ sK8 @ sK9 ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f348]) ).
thf(f348,plain,
( spl0_18
<=> ( $true
= ( sK2 @ sK8 @ sK9 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
thf(f1077,plain,
( ( $true
= ( ~ ( sK2 @ sK8 @ sK9 ) ) )
| ~ spl0_10
| ~ spl0_16 ),
inference(boolean_simplification,[],[f1064]) ).
thf(f1064,plain,
( ( ( ( sK2 @ sK8 @ sK9 )
=> $false )
= $true )
| ~ spl0_10
| ~ spl0_16 ),
inference(superposition,[],[f940,f342]) ).
thf(f342,plain,
( ( $false
= ( sK2 @ sK3 @ sK9 ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f341]) ).
thf(f341,plain,
( spl0_16
<=> ( $false
= ( sK2 @ sK3 @ sK9 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
thf(f940,plain,
( ! [X0: a] :
( $true
= ( ( sK2 @ sK8 @ X0 )
=> ( sK2 @ sK3 @ X0 ) ) )
| ~ spl0_10 ),
inference(boolean_simplification,[],[f935]) ).
thf(f935,plain,
( ! [X0: a] :
( $true
= ( ( ( sK2 @ sK8 @ X0 )
& $true )
=> ( sK2 @ sK3 @ X0 ) ) )
| ~ spl0_10 ),
inference(superposition,[],[f57,f927]) ).
thf(f927,plain,
( ( $true
= ( sK2 @ sK3 @ sK8 ) )
| ~ spl0_10 ),
inference(binary_proxy_clausification,[],[f923]) ).
thf(f923,plain,
( ( $false
= ( ( sK2 @ sK3 @ sK8 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK2 @ sK8 @ Y0 ) ) ) ) )
| ~ spl0_10 ),
inference(beta_eta_normalization,[],[f921]) ).
thf(f921,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) )
@ sK8 ) )
| ~ spl0_10 ),
inference(sigma_clausification,[],[f116]) ).
thf(f116,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f115]) ).
thf(f115,plain,
( spl0_10
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
thf(f57,plain,
! [X2: a,X3: a,X1: a] :
( ( ( ( sK2 @ X2 @ X3 )
& ( sK2 @ X1 @ X2 ) )
=> ( sK2 @ X1 @ X3 ) )
= $true ),
inference(beta_eta_normalization,[],[f56]) ).
thf(f56,plain,
! [X2: a,X3: a,X1: a] :
( ( ^ [Y0: a] :
( ( ( sK2 @ X2 @ Y0 )
& ( sK2 @ X1 @ X2 ) )
=> ( sK2 @ X1 @ Y0 ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f53]) ).
thf(f53,plain,
! [X2: a,X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK2 @ X2 @ Y0 )
& ( sK2 @ X1 @ X2 ) )
=> ( sK2 @ X1 @ Y0 ) ) ) ),
inference(beta_eta_normalization,[],[f52]) ).
thf(f52,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ Y0 @ Y1 )
& ( sK2 @ X1 @ Y0 ) )
=> ( sK2 @ X1 @ Y1 ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f49]) ).
thf(f49,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ Y0 @ Y1 )
& ( sK2 @ X1 @ Y0 ) )
=> ( sK2 @ X1 @ Y1 ) ) ) ) ),
inference(beta_eta_normalization,[],[f48]) ).
thf(f48,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y1 @ Y2 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK2 @ Y0 @ Y2 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f19]) ).
thf(f19,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y1 @ Y2 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK2 @ Y0 @ Y2 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f14]) ).
thf(f14,plain,
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] : ( sK2 @ Y0 @ Y0 ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y1 @ Y2 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK2 @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f12]) ).
thf(f12,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] : ( sK2 @ Y0 @ Y0 ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y1 @ Y2 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK2 @ Y0 @ Y2 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ a @ Y1 )
& ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) )
& ( ?? @ a @ Y2 )
& ( Y2 @ Y0 ) )
=> ( Y1 = Y2 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f11]) ).
thf(f11,plain,
( $false
= ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a @ Y2 )
& ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
= ( Y3 @ Y5 ) ) ) ) )
& ( ?? @ a @ Y3 )
& ( Y3 @ Y1 ) )
=> ( Y2 = Y3 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ?? @ a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( ?? @ a @ Y1 ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[],[f8]) ).
thf(f8,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a @ Y2 )
& ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
= ( Y3 @ Y5 ) ) ) ) )
& ( ?? @ a @ Y3 )
& ( Y3 @ Y1 ) )
=> ( Y2 = Y3 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ?? @ a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( ?? @ a @ Y1 ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f7]) ).
thf(f7,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a @ Y2 )
& ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
= ( Y3 @ Y5 ) ) ) ) )
& ( ?? @ a @ Y3 )
& ( Y3 @ Y1 ) )
=> ( Y2 = Y3 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ?? @ a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( ?? @ a @ Y1 ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f6]) ).
thf(f6,plain,
( ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] : ( Y2 @ Y3 ) )
& ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
= ( Y3 @ Y5 ) ) ) ) )
& ( ?? @ a
@ ^ [Y4: a] : ( Y3 @ Y4 ) )
& ( Y3 @ Y1 ) )
=> ( Y2 = Y3 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] : ( Y2 @ Y3 ) )
& ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
= ( Y3 @ Y5 ) ) ) ) )
& ( ?? @ a
@ ^ [Y4: a] : ( Y3 @ Y4 ) )
& ( Y3 @ Y1 ) )
=> ( Y2 = Y3 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > a > $o] :
( ( ! [X1: a,X2: a,X3: a] :
( ( ( X0 @ X3 @ X2 )
& ( X0 @ X2 @ X1 ) )
=> ( X0 @ X3 @ X1 ) )
& ! [X4: a] : ( X0 @ X4 @ X4 )
& ! [X5: a,X6: a] :
( ( X0 @ X5 @ X6 )
=> ( X0 @ X6 @ X5 ) ) )
=> ( ! [X7: a > $o] :
( ( ! [X8: a] :
( ( X7 @ X8 )
=> ! [X9: a] :
( ( X7 @ X9 )
<=> ( X0 @ X8 @ X9 ) ) )
& ? [X10: a] : ( X7 @ X10 ) )
=> ? [X11: a] : ( X7 @ X11 ) )
& ! [X12: a] :
? [X13: a > $o] :
( ! [X14: a > $o] :
( ( ( X14 @ X12 )
& ? [X15: a] : ( X14 @ X15 )
& ! [X16: a] :
( ( X14 @ X16 )
=> ! [X17: a] :
( ( X0 @ X16 @ X17 )
<=> ( X14 @ X17 ) ) ) )
=> ( X13 = X14 ) )
& ! [X18: a] :
( ( X13 @ X18 )
=> ! [X19: a] :
( ( X13 @ X19 )
<=> ( X0 @ X18 @ X19 ) ) )
& ( X13 @ X12 )
& ? [X20: a] : ( X13 @ X20 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > $o] :
( ( ! [X3: a,X2: a,X1: a] :
( ( ( X0 @ X1 @ X2 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X1 @ X3 ) )
& ! [X1: a] : ( X0 @ X1 @ X1 )
& ! [X1: a,X2: a] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) )
=> ( ! [X4: a > $o] :
( ( ! [X1: a] :
( ( X4 @ X1 )
=> ! [X2: a] :
( ( X4 @ X2 )
<=> ( X0 @ X1 @ X2 ) ) )
& ? [X3: a] : ( X4 @ X3 ) )
=> ? [X3: a] : ( X4 @ X3 ) )
& ! [X1: a] :
? [X4: a > $o] :
( ! [X6: a > $o] :
( ( ( X6 @ X1 )
& ? [X3: a] : ( X6 @ X3 )
& ! [X5: a] :
( ( X6 @ X5 )
=> ! [X2: a] :
( ( X0 @ X5 @ X2 )
<=> ( X6 @ X2 ) ) ) )
=> ( X4 = X6 ) )
& ! [X5: a] :
( ( X4 @ X5 )
=> ! [X2: a] :
( ( X4 @ X2 )
<=> ( X0 @ X5 @ X2 ) ) )
& ( X4 @ X1 )
& ? [X3: a] : ( X4 @ X3 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > a > $o] :
( ( ! [X3: a,X2: a,X1: a] :
( ( ( X0 @ X1 @ X2 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X1 @ X3 ) )
& ! [X1: a] : ( X0 @ X1 @ X1 )
& ! [X1: a,X2: a] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) )
=> ( ! [X4: a > $o] :
( ( ! [X1: a] :
( ( X4 @ X1 )
=> ! [X2: a] :
( ( X4 @ X2 )
<=> ( X0 @ X1 @ X2 ) ) )
& ? [X3: a] : ( X4 @ X3 ) )
=> ? [X3: a] : ( X4 @ X3 ) )
& ! [X1: a] :
? [X4: a > $o] :
( ! [X6: a > $o] :
( ( ( X6 @ X1 )
& ? [X3: a] : ( X6 @ X3 )
& ! [X5: a] :
( ( X6 @ X5 )
=> ! [X2: a] :
( ( X0 @ X5 @ X2 )
<=> ( X6 @ X2 ) ) ) )
=> ( X4 = X6 ) )
& ! [X5: a] :
( ( X4 @ X5 )
=> ! [X2: a] :
( ( X4 @ X2 )
<=> ( X0 @ X5 @ X2 ) ) )
& ( X4 @ X1 )
& ? [X3: a] : ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM260_pme) ).
thf(f915,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f914]) ).
thf(f914,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f520,f833]) ).
thf(f833,plain,
( ! [X1: a] :
( ( sK2 @ sK3 @ X1 )
= ( sK4 @ X1 ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f832]) ).
thf(f832,plain,
( ! [X1: a] :
( $true
= ( ( sK2 @ sK3 @ X1 )
= ( sK4 @ X1 ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f830]) ).
thf(f830,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK4 @ Y0 ) )
@ X1 ) )
| ~ spl0_3 ),
inference(pi_clausification,[],[f604]) ).
thf(f604,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK4 @ Y0 ) ) ) )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f599]) ).
thf(f599,plain,
( ( $true
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK4 @ Y0 ) ) ) ) )
| ~ spl0_3 ),
inference(superposition,[],[f597,f552]) ).
thf(f552,plain,
( ( $true
= ( sK4 @ sK3 ) )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f551]) ).
thf(f551,plain,
( ( ( $true
& ( sK4 @ sK3 ) )
= $true )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f469,f550]) ).
thf(f550,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( sK4 @ Y1 ) ) ) ) )
& ( ?? @ a @ sK4 ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f469]) ).
thf(f469,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( sK4 @ Y1 ) ) ) ) )
& ( ?? @ a @ sK4 )
& ( sK4 @ sK3 ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f455]) ).
thf(f455,plain,
( ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( sK4 @ Y1 ) ) ) ) )
& ( ?? @ a @ sK4 )
& ( sK4 @ sK3 ) )
=> ( ( sK2 @ sK3 )
= sK4 ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f452]) ).
thf(f452,plain,
( ( $false
= ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 )
& ( Y0 @ sK3 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) )
@ sK4 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[],[f73]) ).
thf(f73,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 )
& ( Y0 @ sK3 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f72]) ).
thf(f72,plain,
( spl0_3
<=> ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 )
& ( Y0 @ sK3 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f597,plain,
( ! [X1: a] :
( $true
= ( ( sK4 @ X1 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
= ( sK4 @ Y0 ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f596]) ).
thf(f596,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( sK4 @ Y1 ) ) ) )
@ X1 ) )
| ~ spl0_3 ),
inference(pi_clausification,[],[f589]) ).
thf(f589,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( sK4 @ Y1 ) ) ) ) ) )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f588]) ).
thf(f588,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( sK4 @ Y1 ) ) ) ) )
& $true ) )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f550,f585]) ).
thf(f585,plain,
( ( $true
= ( ?? @ a @ sK4 ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f550]) ).
thf(f520,plain,
( ( ( sK2 @ sK3 @ sK10 )
!= ( sK4 @ sK10 ) )
| ~ spl0_3 ),
inference(negative_extensionality,[],[f484]) ).
thf(f484,plain,
( ( ( sK2 @ sK3 )
!= sK4 )
| ~ spl0_3 ),
inference(equality_proxy_clausification,[],[f471]) ).
thf(f471,plain,
( ( $false
= ( ( sK2 @ sK3 )
= sK4 ) )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f470]) ).
thf(f470,plain,
( ( $false
= ( $true
=> ( ( sK2 @ sK3 )
= sK4 ) ) )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f455,f469]) ).
thf(f449,plain,
( ~ spl0_15
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f448]) ).
thf(f448,plain,
( $false
| ~ spl0_15
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f447]) ).
thf(f447,plain,
( ( $true = $false )
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f349,f339]) ).
thf(f339,plain,
( ( $false
= ( sK2 @ sK8 @ sK9 ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f338]) ).
thf(f338,plain,
( spl0_15
<=> ( $false
= ( sK2 @ sK8 @ sK9 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
thf(f445,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f444]) ).
thf(f444,plain,
( $false
| ~ spl0_16
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f443]) ).
thf(f443,plain,
( ( $true = $false )
| ~ spl0_16
| ~ spl0_17 ),
inference(backward_demodulation,[],[f346,f342]) ).
thf(f346,plain,
( ( $true
= ( sK2 @ sK3 @ sK9 ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f345]) ).
thf(f345,plain,
( spl0_17
<=> ( $true
= ( sK2 @ sK3 @ sK9 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
thf(f442,plain,
( ~ spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f441]) ).
thf(f441,plain,
( $false
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f440]) ).
thf(f440,plain,
( ( $true = $false )
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(boolean_simplification,[],[f439]) ).
thf(f439,plain,
( ( $true = ~ $true )
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(backward_demodulation,[],[f359,f437]) ).
thf(f437,plain,
( ( $true
= ( sK2 @ sK9 @ sK8 ) )
| ~ spl0_10
| ~ spl0_17 ),
inference(boolean_simplification,[],[f431]) ).
thf(f431,plain,
( ( $true
= ( $true
=> ( sK2 @ sK9 @ sK8 ) ) )
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f313,f374]) ).
thf(f374,plain,
( ( ( sK2 @ sK9 @ sK3 )
= $true )
| ~ spl0_17 ),
inference(boolean_simplification,[],[f369]) ).
thf(f369,plain,
( ( $true
= ( $true
=> ( sK2 @ sK9 @ sK3 ) ) )
| ~ spl0_17 ),
inference(superposition,[],[f32,f346]) ).
thf(f32,plain,
! [X2: a,X1: a] :
( $true
= ( ( sK2 @ X2 @ X1 )
=> ( sK2 @ X1 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f31]) ).
thf(f31,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK2 @ X1 @ Y0 ) )
@ X2 ) ),
inference(pi_clausification,[],[f30]) ).
thf(f30,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK2 @ X1 @ Y0 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f29]) ).
thf(f29,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f26]) ).
thf(f26,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) ),
inference(boolean_simplification,[],[f25]) ).
thf(f25,plain,
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) )
& $true ) ),
inference(backward_demodulation,[],[f22,f23]) ).
thf(f23,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] : ( sK2 @ Y0 @ Y0 ) ) ),
inference(binary_proxy_clausification,[],[f22]) ).
thf(f22,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] : ( sK2 @ Y0 @ Y0 ) ) )
= $true ),
inference(boolean_simplification,[],[f21]) ).
thf(f21,plain,
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] : ( sK2 @ Y0 @ Y0 ) )
& $true ) ),
inference(backward_demodulation,[],[f14,f19]) ).
thf(f313,plain,
( ! [X0: a] :
( $true
= ( ( sK2 @ X0 @ sK3 )
=> ( sK2 @ X0 @ sK8 ) ) )
| ~ spl0_10 ),
inference(boolean_simplification,[],[f307]) ).
thf(f307,plain,
( ! [X0: a] :
( $true
= ( ( $true
& ( sK2 @ X0 @ sK3 ) )
=> ( sK2 @ X0 @ sK8 ) ) )
| ~ spl0_10 ),
inference(superposition,[],[f57,f301]) ).
thf(f301,plain,
( ( $true
= ( sK2 @ sK3 @ sK8 ) )
| ~ spl0_10 ),
inference(binary_proxy_clausification,[],[f286]) ).
thf(f286,plain,
( ( $false
= ( ( sK2 @ sK3 @ sK8 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK2 @ sK8 @ Y0 ) ) ) ) )
| ~ spl0_10 ),
inference(beta_eta_normalization,[],[f284]) ).
thf(f284,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) )
@ sK8 ) )
| ~ spl0_10 ),
inference(sigma_clausification,[],[f116]) ).
thf(f359,plain,
( ( $true
= ( ~ ( sK2 @ sK9 @ sK8 ) ) )
| ~ spl0_15 ),
inference(boolean_simplification,[],[f357]) ).
thf(f357,plain,
( ( ( ( sK2 @ sK9 @ sK8 )
=> $false )
= $true )
| ~ spl0_15 ),
inference(superposition,[],[f32,f339]) ).
thf(f350,plain,
( spl0_17
| spl0_18
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f335,f115,f348,f345]) ).
thf(f335,plain,
( ( $true
= ( sK2 @ sK8 @ sK9 ) )
| ( $true
= ( sK2 @ sK3 @ sK9 ) )
| ~ spl0_10 ),
inference(binary_proxy_clausification,[],[f320]) ).
thf(f320,plain,
( ( ( sK2 @ sK3 @ sK9 )
!= ( sK2 @ sK8 @ sK9 ) )
| ~ spl0_10 ),
inference(binary_proxy_clausification,[],[f319]) ).
thf(f319,plain,
( ( ( ( sK2 @ sK3 @ sK9 )
= ( sK2 @ sK8 @ sK9 ) )
= $false )
| ~ spl0_10 ),
inference(beta_eta_normalization,[],[f318]) ).
thf(f318,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK2 @ sK8 @ Y0 ) )
@ sK9 ) )
| ~ spl0_10 ),
inference(sigma_clausification,[],[f300]) ).
thf(f300,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK2 @ sK8 @ Y0 ) ) )
= $false )
| ~ spl0_10 ),
inference(binary_proxy_clausification,[],[f286]) ).
thf(f343,plain,
( spl0_15
| spl0_16
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f336,f115,f341,f338]) ).
thf(f336,plain,
( ( $false
= ( sK2 @ sK3 @ sK9 ) )
| ( $false
= ( sK2 @ sK8 @ sK9 ) )
| ~ spl0_10 ),
inference(binary_proxy_clausification,[],[f320]) ).
thf(f233,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f232]) ).
thf(f232,plain,
( $false
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f222]) ).
thf(f222,plain,
( ( $true = $false )
| ~ spl0_9 ),
inference(superposition,[],[f28,f216]) ).
thf(f216,plain,
( ! [X1: a] :
( $false
= ( sK2 @ sK3 @ X1 ) )
| ~ spl0_9 ),
inference(pi_clausification,[],[f113]) ).
thf(f113,plain,
( ( $false
= ( ?? @ a @ ( sK2 @ sK3 ) ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f112]) ).
thf(f112,plain,
( spl0_9
<=> ( $false
= ( ?? @ a @ ( sK2 @ sK3 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
thf(f28,plain,
! [X1: a] :
( $true
= ( sK2 @ X1 @ X1 ) ),
inference(beta_eta_normalization,[],[f27]) ).
thf(f27,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] : ( sK2 @ Y0 @ Y0 )
@ X1 ) ),
inference(pi_clausification,[],[f23]) ).
thf(f211,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f210]) ).
thf(f210,plain,
( $false
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f209]) ).
thf(f209,plain,
( ( $true = $false )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f208]) ).
thf(f208,plain,
( ( $true
= ( $false
& ( !! @ a
@ ^ [Y0: a] :
( ( sK7 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK7 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f205,f207]) ).
thf(f207,plain,
( ( $false
= ( ?? @ a @ sK7 ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f206]) ).
thf(f206,plain,
( ( $false
= ( $true
=> ( ?? @ a @ sK7 ) ) )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f186,f205]) ).
thf(f186,plain,
( ( $false
= ( ( ( ?? @ a @ sK7 )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK7 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK7 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) )
=> ( ?? @ a @ sK7 ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f185]) ).
thf(f185,plain,
( ( $false
= ( ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) )
@ sK7 ) )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f41]) ).
thf(f41,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f40]) ).
thf(f40,plain,
( spl0_1
<=> ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f205,plain,
( ( ( ( ?? @ a @ sK7 )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK7 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK7 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f186]) ).
thf(f117,plain,
( spl0_9
| spl0_10
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f110,f75,f115,f112]) ).
thf(f75,plain,
( spl0_4
<=> ( $false
= ( ( ?? @ a @ ( sK2 @ sK3 ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f110,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) )
| ( $false
= ( ?? @ a @ ( sK2 @ sK3 ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f76]) ).
thf(f76,plain,
( ( $false
= ( ( ?? @ a @ ( sK2 @ sK3 ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f75]) ).
thf(f77,plain,
( spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f70,f43,f75,f72]) ).
thf(f43,plain,
( spl0_2
<=> ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ a @ Y1 )
& ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) )
& ( ?? @ a @ Y2 )
& ( Y2 @ Y0 ) )
=> ( Y1 = Y2 ) ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f70,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 )
& ( Y0 @ sK3 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) ) )
| ( $false
= ( ( ?? @ a @ ( sK2 @ sK3 ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f60]) ).
thf(f60,plain,
( ( $false
= ( ( ?? @ a @ ( sK2 @ sK3 ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 )
& ( Y0 @ sK3 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f59]) ).
thf(f59,plain,
( ( $false
= ( ( ?? @ a @ ( sK2 @ sK3 ) )
& $true
& ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 )
& ( Y0 @ sK3 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) ) ) )
| ~ spl0_2 ),
inference(superposition,[],[f55,f28]) ).
thf(f55,plain,
( ! [X1: a > $o] :
( $false
= ( ( ?? @ a @ X1 )
& ( X1 @ sK3 )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 )
& ( Y0 @ sK3 ) )
=> ( X1 = Y0 ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f54]) ).
thf(f54,plain,
( ! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ( ?? @ a @ Y0 )
& ( Y0 @ sK3 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) )
& ( ?? @ a @ Y1 )
& ( Y1 @ sK3 ) )
=> ( Y0 = Y1 ) ) ) )
@ X1 )
= $false )
| ~ spl0_2 ),
inference(pi_clausification,[],[f51]) ).
thf(f51,plain,
( ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ?? @ a @ Y0 )
& ( Y0 @ sK3 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) )
& ( ?? @ a @ Y1 )
& ( Y1 @ sK3 ) )
=> ( Y0 = Y1 ) ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f50]) ).
thf(f50,plain,
( ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ a @ Y1 )
& ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) )
& ( ?? @ a @ Y2 )
& ( Y2 @ Y0 ) )
=> ( Y1 = Y2 ) ) ) ) )
@ sK3 )
= $false )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f44]) ).
thf(f44,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ a @ Y1 )
& ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) )
& ( ?? @ a @ Y2 )
& ( Y2 @ Y0 ) )
=> ( Y1 = Y2 ) ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f43]) ).
thf(f45,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f38,f43,f40]) ).
thf(f38,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ a @ Y1 )
& ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) )
& ( ?? @ a @ Y2 )
& ( Y2 @ Y0 ) )
=> ( Y1 = Y2 ) ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f13,plain,
( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ a @ Y1 )
& ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) )
& ( ?? @ a @ Y2 )
& ( Y2 @ Y0 ) )
=> ( Y1 = Y2 ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV010^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 18:39:07 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % (26155)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.14/0.36 % (26155)Instruction limit reached!
% 0.14/0.36 % (26155)------------------------------
% 0.14/0.36 % (26155)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36 % (26155)Termination reason: Unknown
% 0.14/0.36 % (26155)Termination phase: Saturation
% 0.14/0.36
% 0.14/0.36 % (26155)Memory used [KB]: 5500
% 0.14/0.36 % (26155)Time elapsed: 0.003 s
% 0.14/0.36 % (26155)Instructions burned: 3 (million)
% 0.14/0.36 % (26155)------------------------------
% 0.14/0.36 % (26155)------------------------------
% 0.14/0.36 % (26148)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.36 % (26149)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 (3000ds/4Mi)
% 0.14/0.36 % (26152)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 (3000ds/2Mi)
% 0.14/0.36 % (26151)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.36 % (26150)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 (3000ds/27Mi)
% 0.14/0.36 % (26154)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.36 % (26153)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 (3000ds/275Mi)
% 0.14/0.36 % (26152)Instruction limit reached!
% 0.14/0.36 % (26152)------------------------------
% 0.14/0.36 % (26152)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36 % (26152)Termination reason: Unknown
% 0.14/0.36 % (26152)Termination phase: shuffling
% 0.14/0.36
% 0.14/0.36 % (26152)Memory used [KB]: 895
% 0.14/0.36 % (26152)Time elapsed: 0.003 s
% 0.14/0.36 % (26152)Instructions burned: 2 (million)
% 0.14/0.36 % (26152)------------------------------
% 0.14/0.36 % (26152)------------------------------
% 0.14/0.37 % (26151)Instruction limit reached!
% 0.14/0.37 % (26151)------------------------------
% 0.14/0.37 % (26151)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (26151)Termination reason: Unknown
% 0.14/0.37 % (26151)Termination phase: Property scanning
% 0.14/0.37
% 0.14/0.37 % (26151)Memory used [KB]: 1023
% 0.14/0.37 % (26151)Time elapsed: 0.004 s
% 0.14/0.37 % (26151)Instructions burned: 3 (million)
% 0.14/0.37 % (26151)------------------------------
% 0.14/0.37 % (26151)------------------------------
% 0.14/0.37 % (26149)Instruction limit reached!
% 0.14/0.37 % (26149)------------------------------
% 0.14/0.37 % (26149)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (26149)Termination reason: Unknown
% 0.14/0.37 % (26149)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (26149)Memory used [KB]: 5500
% 0.14/0.37 % (26149)Time elapsed: 0.005 s
% 0.14/0.37 % (26149)Instructions burned: 4 (million)
% 0.14/0.37 % (26149)------------------------------
% 0.14/0.37 % (26149)------------------------------
% 0.14/0.37 % (26156)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)
% 0.14/0.38 % (26154)Instruction limit reached!
% 0.14/0.38 % (26154)------------------------------
% 0.14/0.38 % (26154)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (26154)Termination reason: Unknown
% 0.14/0.38 % (26154)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (26154)Memory used [KB]: 5628
% 0.14/0.38 % (26154)Time elapsed: 0.014 s
% 0.14/0.38 % (26154)Instructions burned: 19 (million)
% 0.14/0.38 % (26154)------------------------------
% 0.14/0.38 % (26154)------------------------------
% 0.14/0.38 % (26157)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)
% 0.14/0.38 % (26158)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)
% 0.14/0.38 % (26156)Instruction limit reached!
% 0.14/0.38 % (26156)------------------------------
% 0.14/0.38 % (26156)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (26156)Termination reason: Unknown
% 0.14/0.38 % (26156)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (26156)Memory used [KB]: 5628
% 0.14/0.38 % (26156)Time elapsed: 0.014 s
% 0.14/0.38 % (26156)Instructions burned: 39 (million)
% 0.14/0.38 % (26156)------------------------------
% 0.14/0.38 % (26156)------------------------------
% 0.14/0.38 % (26159)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)
% 0.14/0.38 % (26158)Instruction limit reached!
% 0.14/0.38 % (26158)------------------------------
% 0.14/0.38 % (26158)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (26158)Termination reason: Unknown
% 0.14/0.38 % (26158)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (26158)Memory used [KB]: 5500
% 0.14/0.38 % (26158)Time elapsed: 0.004 s
% 0.14/0.38 % (26158)Instructions burned: 3 (million)
% 0.14/0.38 % (26158)------------------------------
% 0.14/0.38 % (26158)------------------------------
% 0.14/0.38 % (26150)Instruction limit reached!
% 0.14/0.38 % (26150)------------------------------
% 0.14/0.38 % (26150)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (26150)Termination reason: Unknown
% 0.14/0.38 % (26150)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (26150)Memory used [KB]: 5756
% 0.14/0.38 % (26150)Time elapsed: 0.021 s
% 0.14/0.38 % (26150)Instructions burned: 27 (million)
% 0.14/0.38 % (26150)------------------------------
% 0.14/0.38 % (26150)------------------------------
% 0.14/0.39 % (26157)Instruction limit reached!
% 0.14/0.39 % (26157)------------------------------
% 0.14/0.39 % (26157)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (26157)Termination reason: Unknown
% 0.14/0.39 % (26157)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (26157)Memory used [KB]: 5628
% 0.14/0.39 % (26157)Time elapsed: 0.012 s
% 0.14/0.39 % (26157)Instructions burned: 15 (million)
% 0.14/0.39 % (26157)------------------------------
% 0.14/0.39 % (26157)------------------------------
% 0.14/0.39 % (26161)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.39 % (26160)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.40 % (26160)Instruction limit reached!
% 0.14/0.40 % (26160)------------------------------
% 0.14/0.40 % (26160)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (26160)Termination reason: Unknown
% 0.14/0.40 % (26160)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (26160)Memory used [KB]: 1023
% 0.14/0.40 % (26160)Time elapsed: 0.007 s
% 0.14/0.40 % (26160)Instructions burned: 8 (million)
% 0.14/0.40 % (26160)------------------------------
% 0.14/0.40 % (26160)------------------------------
% 0.14/0.40 % (26161)Instruction limit reached!
% 0.14/0.40 % (26161)------------------------------
% 0.14/0.40 % (26161)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (26161)Termination reason: Unknown
% 0.14/0.40 % (26161)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (26161)Memory used [KB]: 5628
% 0.14/0.40 % (26161)Time elapsed: 0.007 s
% 0.14/0.40 % (26161)Instructions burned: 16 (million)
% 0.14/0.40 % (26161)------------------------------
% 0.14/0.40 % (26161)------------------------------
% 0.14/0.40 % (26162)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)
% 0.14/0.40 % (26163)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)
% 0.14/0.40 % (26162)Instruction limit reached!
% 0.14/0.40 % (26162)------------------------------
% 0.14/0.40 % (26162)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (26162)Termination reason: Unknown
% 0.14/0.40 % (26162)Termination phase: Twee Goal Transformation
% 0.14/0.40
% 0.14/0.40 % (26162)Memory used [KB]: 1023
% 0.14/0.40 % (26162)Time elapsed: 0.004 s
% 0.14/0.40 % (26162)Instructions burned: 4 (million)
% 0.14/0.40 % (26162)------------------------------
% 0.14/0.40 % (26162)------------------------------
% 0.14/0.40 % (26163)Instruction limit reached!
% 0.14/0.40 % (26163)------------------------------
% 0.14/0.40 % (26163)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (26163)Termination reason: Unknown
% 0.14/0.40 % (26163)Termination phase: Property scanning
% 0.14/0.40
% 0.14/0.40 % (26163)Memory used [KB]: 1023
% 0.14/0.40 % (26163)Time elapsed: 0.004 s
% 0.14/0.40 % (26163)Instructions burned: 3 (million)
% 0.14/0.40 % (26163)------------------------------
% 0.14/0.40 % (26163)------------------------------
% 0.14/0.40 % (26164)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)
% 0.14/0.41 % (26166)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.41 % (26166)Instruction limit reached!
% 0.14/0.41 % (26166)------------------------------
% 0.14/0.41 % (26166)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (26166)Termination reason: Unknown
% 0.14/0.41 % (26166)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (26166)Memory used [KB]: 5500
% 0.14/0.41 % (26166)Time elapsed: 0.004 s
% 0.14/0.41 % (26166)Instructions burned: 4 (million)
% 0.14/0.41 % (26166)------------------------------
% 0.14/0.41 % (26166)------------------------------
% 0.14/0.41 % (26164)Instruction limit reached!
% 0.14/0.41 % (26164)------------------------------
% 0.14/0.41 % (26164)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (26164)Termination reason: Unknown
% 0.14/0.41 % (26164)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (26164)Memory used [KB]: 5500
% 0.14/0.41 % (26164)Time elapsed: 0.007 s
% 0.14/0.41 % (26164)Instructions burned: 8 (million)
% 0.14/0.41 % (26164)------------------------------
% 0.14/0.41 % (26164)------------------------------
% 0.14/0.41 % (26165)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)
% 0.14/0.41 % (26165)Instruction limit reached!
% 0.14/0.41 % (26165)------------------------------
% 0.14/0.41 % (26165)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (26165)Termination reason: Unknown
% 0.14/0.41 % (26165)Termination phase: Property scanning
% 0.14/0.41
% 0.14/0.41 % (26165)Memory used [KB]: 1023
% 0.14/0.41 % (26165)Time elapsed: 0.003 s
% 0.14/0.41 % (26165)Instructions burned: 3 (million)
% 0.14/0.41 % (26165)------------------------------
% 0.14/0.41 % (26165)------------------------------
% 0.14/0.41 % (26167)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)
% 0.14/0.41 % (26168)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.42 % (26169)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.42 % (26169)Instruction limit reached!
% 0.20/0.42 % (26169)------------------------------
% 0.20/0.42 % (26169)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (26169)Termination reason: Unknown
% 0.20/0.42 % (26169)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (26169)Memory used [KB]: 5500
% 0.20/0.42 % (26169)Time elapsed: 0.004 s
% 0.20/0.42 % (26169)Instructions burned: 6 (million)
% 0.20/0.42 % (26169)------------------------------
% 0.20/0.42 % (26169)------------------------------
% 0.20/0.42 % (26170)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)
% 0.20/0.42 % (26167)Instruction limit reached!
% 0.20/0.42 % (26167)------------------------------
% 0.20/0.42 % (26167)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (26167)Termination reason: Unknown
% 0.20/0.42 % (26167)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (26167)Memory used [KB]: 5628
% 0.20/0.42 % (26167)Time elapsed: 0.036 s
% 0.20/0.42 % (26167)Instructions burned: 18 (million)
% 0.20/0.42 % (26167)------------------------------
% 0.20/0.42 % (26167)------------------------------
% 0.20/0.43 % (26171)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)
% 0.20/0.43 % (26172)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.43 % (26172)Instruction limit reached!
% 0.20/0.43 % (26172)------------------------------
% 0.20/0.43 % (26172)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (26172)Termination reason: Unknown
% 0.20/0.43 % (26172)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (26172)Memory used [KB]: 5500
% 0.20/0.43 % (26172)Time elapsed: 0.003 s
% 0.20/0.43 % (26172)Instructions burned: 6 (million)
% 0.20/0.43 % (26172)------------------------------
% 0.20/0.43 % (26172)------------------------------
% 0.20/0.44 % (26173)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)
% 0.20/0.44 % (26171)Instruction limit reached!
% 0.20/0.44 % (26171)------------------------------
% 0.20/0.44 % (26171)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (26171)Termination reason: Unknown
% 0.20/0.44 % (26171)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (26171)Memory used [KB]: 5628
% 0.20/0.44 % (26171)Time elapsed: 0.016 s
% 0.20/0.44 % (26171)Instructions burned: 21 (million)
% 0.20/0.44 % (26174)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.20/0.44 % (26171)------------------------------
% 0.20/0.44 % (26171)------------------------------
% 0.20/0.44 % (26173)Instruction limit reached!
% 0.20/0.44 % (26173)------------------------------
% 0.20/0.44 % (26173)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (26173)Termination reason: Unknown
% 0.20/0.44 % (26173)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (26173)Memory used [KB]: 5500
% 0.20/0.44 % (26173)Time elapsed: 0.005 s
% 0.20/0.44 % (26173)Instructions burned: 6 (million)
% 0.20/0.44 % (26173)------------------------------
% 0.20/0.44 % (26173)------------------------------
% 0.20/0.45 % (26148)Instruction limit reached!
% 0.20/0.45 % (26148)------------------------------
% 0.20/0.45 % (26148)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (26148)Termination reason: Unknown
% 0.20/0.45 % (26148)Termination phase: Saturation
% 0.20/0.45
% 0.20/0.45 % (26148)Memory used [KB]: 6524
% 0.20/0.45 % (26148)Time elapsed: 0.091 s
% 0.20/0.45 % (26148)Instructions burned: 185 (million)
% 0.20/0.45 % (26148)------------------------------
% 0.20/0.45 % (26148)------------------------------
% 0.20/0.45 % (26175)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)
% 0.20/0.46 % (26176)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)
% 0.20/0.46 % (26176)Instruction limit reached!
% 0.20/0.46 % (26176)------------------------------
% 0.20/0.46 % (26176)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (26176)Termination reason: Unknown
% 0.20/0.46 % (26176)Termination phase: Saturation
% 0.20/0.46
% 0.20/0.46 % (26176)Memory used [KB]: 5500
% 0.20/0.46 % (26176)Time elapsed: 0.010 s
% 0.20/0.46 % (26176)Instructions burned: 20 (million)
% 0.20/0.46 % (26176)------------------------------
% 0.20/0.46 % (26176)------------------------------
% 0.20/0.46 % (26177)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.20/0.47 % (26159)First to succeed.
% 0.20/0.47 % (26178)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.20/0.47 % (26159)Refutation found. Thanks to Tanya!
% 0.20/0.47 % SZS status Theorem for theBenchmark
% 0.20/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47 % (26159)------------------------------
% 0.20/0.47 % (26159)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (26159)Termination reason: Refutation
% 0.20/0.47
% 0.20/0.47 % (26159)Memory used [KB]: 6268
% 0.20/0.47 % (26159)Time elapsed: 0.114 s
% 0.20/0.47 % (26159)Instructions burned: 139 (million)
% 0.20/0.47 % (26159)------------------------------
% 0.20/0.47 % (26159)------------------------------
% 0.20/0.47 % (26147)Success in time 0.128 s
% 0.20/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------