%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ110^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:20:55 AM UTC 2026
% Result : Theorem 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 17
% Syntax : Number of formulae : 127 ( 32 unt; 0 typ; 15 def)
% Number of atoms : 911 ( 176 equ; 0 cnn)
% Maximal formula atoms : 8 ( 7 avg)
% Number of connectives : 1338 ( 109 ~; 192 |; 54 &; 864 @)
% ( 11 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 86 ( 86 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 34 usr; 21 con; 0-4 aty)
% ( 56 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 139 ( 0 sgn 51 !; 2 ?; 139 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
cCKB6_BLACK: $i > $i > $o ).
thf(func_def_6,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_7,type,
vIMP: $o > $o > $o ).
thf(func_def_8,type,
vAND: $o > $o > $o ).
thf(func_def_9,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_17,type,
sF4: $o ).
thf(func_def_18,type,
sF5: $o ).
thf(func_def_19,type,
sK6: $i > $i > $o ).
thf(func_def_20,type,
sK7: ( $i > $i > $o ) > $i ).
thf(func_def_21,type,
sK8: ( $i > $i > $o ) > $i ).
thf(func_def_22,type,
sK9: $i > $i > $o ).
thf(func_def_23,type,
sK10: ( $i > $i > $o ) > $i ).
thf(func_def_24,type,
sK11: ( $i > $i > $o ) > $i ).
thf(f1,axiom,
( ( ^ [X0: $i,X1: $i] :
! [X2: $i > $i > $o] :
( ( ( X2 @ c1 @ c1 )
& ! [X3: $i,X4: $i] :
( ( X2 @ X3 @ X4 )
=> ( ( X2 @ ( s @ ( s @ X3 ) ) @ X4 )
& ( X2 @ ( s @ X3 ) @ ( s @ X4 ) ) ) ) )
=> ( X2 @ X0 @ X1 ) ) )
= cCKB6_BLACK ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCKB6_BLACK_def) ).
thf(f2,conjecture,
! [X0: $i,X1: $i] :
( ( cCKB6_BLACK @ X0 @ X1 )
=> ( cCKB6_BLACK @ ( s @ ( s @ X0 ) ) @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCKB6_L8000) ).
thf(f3,negated_conjecture,
~ ! [X0: $i,X1: $i] :
( ( cCKB6_BLACK @ X0 @ X1 )
=> ( cCKB6_BLACK @ ( s @ ( s @ X0 ) ) @ X1 ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
thf(f4,plain,
~ ! [X0: $i,X1: $i] :
( ( cCKB6_BLACK @ X0 @ X1 )
=> ( cCKB6_BLACK @ ( s @ ( s @ X0 ) ) @ X1 ) ),
inference(rectify,[],[f3]) ).
thf(f5,plain,
~ ! [X1: $i,X0: $i] :
( ( ( cCKB6_BLACK @ X0 @ X1 )
= $true )
=> ( ( cCKB6_BLACK @ ( s @ ( s @ X0 ) ) @ X1 )
= $true ) ),
inference(fool_elimination,[],[f4]) ).
thf(f6,plain,
( ( ^ [X0: $i,X1: $i] :
! [X2: $i > $i > $o] :
( ( ( X2 @ c1 @ c1 )
& ! [X3: $i,X4: $i] :
( ( X2 @ X3 @ X4 )
=> ( ( X2 @ ( s @ ( s @ X3 ) ) @ X4 )
& ( X2 @ ( s @ X3 ) @ ( s @ X4 ) ) ) ) )
=> ( X2 @ X0 @ X1 ) ) )
= cCKB6_BLACK ),
inference(rectify,[],[f1]) ).
thf(f7,plain,
( cCKB6_BLACK
= ( ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 @ Y3 )
=> ( ( Y2 @ ( s @ Y4 ) @ ( s @ Y3 ) )
& ( Y2 @ ( s @ ( s @ Y4 ) ) @ Y3 ) ) ) ) )
& ( Y2 @ c1 @ c1 ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
? [X0: $i,X1: $i] :
( ( ( cCKB6_BLACK @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
& ( ( cCKB6_BLACK @ X0 @ X1 )
= $true ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f9,plain,
( ( $true
!= ( cCKB6_BLACK @ ( s @ ( s @ sK0 ) ) @ sK1 ) )
& ( $true
= ( cCKB6_BLACK @ sK0 @ sK1 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f8]) ).
thf(f10,plain,
( $true
= ( cCKB6_BLACK @ sK0 @ sK1 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f11,plain,
( $true
!= ( cCKB6_BLACK @ ( s @ ( s @ sK0 ) ) @ sK1 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f12,plain,
( cCKB6_BLACK
= ( ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 @ Y3 )
=> ( ( Y2 @ ( s @ Y4 ) @ ( s @ Y3 ) )
& ( Y2 @ ( s @ ( s @ Y4 ) ) @ Y3 ) ) ) ) )
& ( Y2 @ c1 @ c1 ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f15,plain,
( $true
!= ( ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 @ Y3 )
=> ( ( Y2 @ ( s @ Y4 ) @ ( s @ Y3 ) )
& ( Y2 @ ( s @ ( s @ Y4 ) ) @ Y3 ) ) ) ) )
& ( Y2 @ c1 @ c1 ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ ( s @ ( s @ sK0 ) )
@ sK1 ) ),
inference(definition_unfolding,[],[f11,f12]) ).
thf(f16,plain,
( $true
= ( ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 @ Y3 )
=> ( ( Y2 @ ( s @ Y4 ) @ ( s @ Y3 ) )
& ( Y2 @ ( s @ ( s @ Y4 ) ) @ Y3 ) ) ) ) )
& ( Y2 @ c1 @ c1 ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ sK0
@ sK1 ) ),
inference(definition_unfolding,[],[f10,f12]) ).
thf(f17,definition,
( sF2
= ( s @ sK0 ) ),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
thf(f18,plain,
( ( s @ sK0 )
= sF2 ),
inference(reorient_equations,[],[f17]) ).
thf(f19,definition,
( sF3
= ( s @ sF2 ) ),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
thf(f20,definition,
( sF4
= ( ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 @ Y3 )
=> ( ( Y2 @ ( s @ Y4 ) @ ( s @ Y3 ) )
& ( Y2 @ ( s @ ( s @ Y4 ) ) @ Y3 ) ) ) ) )
& ( Y2 @ c1 @ c1 ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ sF3
@ sK1 ) ),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
thf(f21,plain,
( ( ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 @ Y3 )
=> ( ( Y2 @ ( s @ Y4 ) @ ( s @ Y3 ) )
& ( Y2 @ ( s @ ( s @ Y4 ) ) @ Y3 ) ) ) ) )
& ( Y2 @ c1 @ c1 ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ sF3
@ sK1 )
= sF4 ),
inference(reorient_equations,[],[f20]) ).
thf(f22,plain,
$true != sF4,
inference(definition_folding,[],[f15,f21,f19,f18]) ).
thf(f23,definition,
( sF5
= ( ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 @ Y3 )
=> ( ( Y2 @ ( s @ Y4 ) @ ( s @ Y3 ) )
& ( Y2 @ ( s @ ( s @ Y4 ) ) @ Y3 ) ) ) ) )
& ( Y2 @ c1 @ c1 ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ sK0
@ sK1 ) ),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
thf(f24,plain,
( ( ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 @ Y3 )
=> ( ( Y2 @ ( s @ Y4 ) @ ( s @ Y3 ) )
& ( Y2 @ ( s @ ( s @ Y4 ) ) @ Y3 ) ) ) ) )
& ( Y2 @ c1 @ c1 ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ sK0
@ sK1 )
= sF5 ),
inference(reorient_equations,[],[f23]) ).
thf(f25,plain,
$true = sF5,
inference(definition_folding,[],[f16,f24]) ).
thf(f26,plain,
( ( sF5 = $false )
| ( $true
= ( ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 @ Y3 )
=> ( ( Y2 @ ( s @ Y4 ) @ ( s @ Y3 ) )
& ( Y2 @ ( s @ ( s @ Y4 ) ) @ Y3 ) ) ) ) )
& ( Y2 @ c1 @ c1 ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ sK0
@ sK1 ) ) ),
inference(iff_proxy_clausification,[],[f24]) ).
thf(f42,plain,
( ( sF5 = $false )
| ( ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( ( Y0 @ ( s @ Y2 ) @ ( s @ Y1 ) )
& ( Y0 @ ( s @ ( s @ Y2 ) ) @ Y1 ) ) ) ) )
& ( Y0 @ c1 @ c1 ) )
=> ( Y0 @ sK0 @ sK1 ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f26]) ).
thf(f43,plain,
! [X1: $i > $i > $o] :
( ( sF5 = $false )
| ( $true
= ( ^ [Y0: $i > $i > $o] :
( ( ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( ( Y0 @ ( s @ Y2 ) @ ( s @ Y1 ) )
& ( Y0 @ ( s @ ( s @ Y2 ) ) @ Y1 ) ) ) ) )
& ( Y0 @ c1 @ c1 ) )
=> ( Y0 @ sK0 @ sK1 ) )
@ X1 ) ) ),
inference(pi_proxy_clausification,[],[f42]) ).
thf(f44,plain,
! [X1: $i > $i > $o] :
( ( sF5 = $false )
| ( $true
= ( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y1 @ Y0 )
=> ( ( X1 @ ( s @ Y1 ) @ ( s @ Y0 ) )
& ( X1 @ ( s @ ( s @ Y1 ) ) @ Y0 ) ) ) ) )
& ( X1 @ c1 @ c1 ) )
=> ( X1 @ sK0 @ sK1 ) ) ) ),
inference(beta-eta_normalization,[],[f43]) ).
thf(f45,plain,
! [X1: $i > $i > $o] :
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y1 @ Y0 )
=> ( ( X1 @ ( s @ Y1 ) @ ( s @ Y0 ) )
& ( X1 @ ( s @ ( s @ Y1 ) ) @ Y0 ) ) ) ) )
& ( X1 @ c1 @ c1 ) )
= $false )
| ( $true
= ( X1 @ sK0 @ sK1 ) )
| ( sF5 = $false ) ),
inference(imp_proxy_clausification,[],[f44]) ).
thf(f46,plain,
! [X1: $i > $i > $o] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y1 @ Y0 )
=> ( ( X1 @ ( s @ Y1 ) @ ( s @ Y0 ) )
& ( X1 @ ( s @ ( s @ Y1 ) ) @ Y0 ) ) ) ) )
= $false )
| ( sF5 = $false )
| ( $true
= ( X1 @ sK0 @ sK1 ) )
| ( ( X1 @ c1 @ c1 )
= $false ) ),
inference(and_proxy_clausification,[],[f45]) ).
thf(f47,plain,
! [X1: $i > $i > $o] :
( ( ( X1 @ c1 @ c1 )
= $false )
| ( $true
= ( X1 @ sK0 @ sK1 ) )
| ( sF5 = $false )
| ( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y1 @ Y0 )
=> ( ( X1 @ ( s @ Y1 ) @ ( s @ Y0 ) )
& ( X1 @ ( s @ ( s @ Y1 ) ) @ Y0 ) ) ) )
@ ( sK7 @ X1 ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f46]) ).
thf(f48,plain,
! [X1: $i > $i > $o] :
( ( ( X1 @ c1 @ c1 )
= $false )
| ( sF5 = $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 @ ( sK7 @ X1 ) )
=> ( ( X1 @ ( s @ Y0 ) @ ( s @ ( sK7 @ X1 ) ) )
& ( X1 @ ( s @ ( s @ Y0 ) ) @ ( sK7 @ X1 ) ) ) ) )
= $false )
| ( $true
= ( X1 @ sK0 @ sK1 ) ) ),
inference(beta-eta_normalization,[],[f47]) ).
thf(f49,plain,
! [X1: $i > $i > $o] :
( ( ( X1 @ c1 @ c1 )
= $false )
| ( $true
= ( X1 @ sK0 @ sK1 ) )
| ( sF5 = $false )
| ( ( ^ [Y0: $i] :
( ( X1 @ Y0 @ ( sK7 @ X1 ) )
=> ( ( X1 @ ( s @ Y0 ) @ ( s @ ( sK7 @ X1 ) ) )
& ( X1 @ ( s @ ( s @ Y0 ) ) @ ( sK7 @ X1 ) ) ) )
@ ( sK8 @ X1 ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f48]) ).
thf(f50,plain,
! [X1: $i > $i > $o] :
( ( $true
= ( X1 @ sK0 @ sK1 ) )
| ( ( X1 @ c1 @ c1 )
= $false )
| ( ( ( X1 @ ( sK8 @ X1 ) @ ( sK7 @ X1 ) )
=> ( ( X1 @ ( s @ ( sK8 @ X1 ) ) @ ( s @ ( sK7 @ X1 ) ) )
& ( X1 @ ( s @ ( s @ ( sK8 @ X1 ) ) ) @ ( sK7 @ X1 ) ) ) )
= $false )
| ( sF5 = $false ) ),
inference(beta-eta_normalization,[],[f49]) ).
thf(f51,plain,
! [X1: $i > $i > $o] :
( ( sF5 = $false )
| ( $true
= ( X1 @ sK0 @ sK1 ) )
| ( ( X1 @ c1 @ c1 )
= $false )
| ( ( ( X1 @ ( s @ ( sK8 @ X1 ) ) @ ( s @ ( sK7 @ X1 ) ) )
& ( X1 @ ( s @ ( s @ ( sK8 @ X1 ) ) ) @ ( sK7 @ X1 ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f50]) ).
thf(f52,plain,
! [X1: $i > $i > $o] :
( ( sF5 = $false )
| ( ( X1 @ c1 @ c1 )
= $false )
| ( ( X1 @ ( sK8 @ X1 ) @ ( sK7 @ X1 ) )
= $true )
| ( $true
= ( X1 @ sK0 @ sK1 ) ) ),
inference(imp_proxy_clausification,[],[f50]) ).
thf(f53,plain,
! [X1: $i > $i > $o] :
( ( ( X1 @ ( s @ ( sK8 @ X1 ) ) @ ( s @ ( sK7 @ X1 ) ) )
= $false )
| ( ( X1 @ ( s @ ( s @ ( sK8 @ X1 ) ) ) @ ( sK7 @ X1 ) )
= $false )
| ( $true
= ( X1 @ sK0 @ sK1 ) )
| ( ( X1 @ c1 @ c1 )
= $false )
| ( sF5 = $false ) ),
inference(and_proxy_clausification,[],[f51]) ).
thf(f55,plain,
( ( ( ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 @ Y3 )
=> ( ( Y2 @ ( s @ Y4 ) @ ( s @ Y3 ) )
& ( Y2 @ ( s @ ( s @ Y4 ) ) @ Y3 ) ) ) ) )
& ( Y2 @ c1 @ c1 ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ sF3
@ sK1 )
= $false )
| ( $true = sF4 ) ),
inference(iff_proxy_clausification,[],[f21]) ).
thf(f56,plain,
( ( $true = sF4 )
| ( ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( ( Y0 @ ( s @ Y2 ) @ ( s @ Y1 ) )
& ( Y0 @ ( s @ ( s @ Y2 ) ) @ Y1 ) ) ) ) )
& ( Y0 @ c1 @ c1 ) )
=> ( Y0 @ sF3 @ sK1 ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f55]) ).
thf(f57,plain,
( ( ( ^ [Y0: $i > $i > $o] :
( ( ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( ( Y0 @ ( s @ Y2 ) @ ( s @ Y1 ) )
& ( Y0 @ ( s @ ( s @ Y2 ) ) @ Y1 ) ) ) ) )
& ( Y0 @ c1 @ c1 ) )
=> ( Y0 @ sF3 @ sK1 ) )
@ sK9 )
= $false )
| ( $true = sF4 ) ),
inference(sigma_proxy_clausification,[],[f56]) ).
thf(f58,plain,
( ( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK9 @ Y1 @ Y0 )
=> ( ( sK9 @ ( s @ Y1 ) @ ( s @ Y0 ) )
& ( sK9 @ ( s @ ( s @ Y1 ) ) @ Y0 ) ) ) ) )
& ( sK9 @ c1 @ c1 ) )
=> ( sK9 @ sF3 @ sK1 ) )
= $false )
| ( $true = sF4 ) ),
inference(beta-eta_normalization,[],[f57]) ).
thf(f59,plain,
( ( ( sK9 @ sF3 @ sK1 )
= $false )
| ( $true = sF4 ) ),
inference(imp_proxy_clausification,[],[f58]) ).
thf(f60,plain,
( ( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK9 @ Y1 @ Y0 )
=> ( ( sK9 @ ( s @ Y1 ) @ ( s @ Y0 ) )
& ( sK9 @ ( s @ ( s @ Y1 ) ) @ Y0 ) ) ) ) )
& ( sK9 @ c1 @ c1 ) ) )
| ( $true = sF4 ) ),
inference(imp_proxy_clausification,[],[f58]) ).
thf(f61,plain,
( ( $true
= ( sK9 @ c1 @ c1 ) )
| ( $true = sF4 ) ),
inference(and_proxy_clausification,[],[f60]) ).
thf(f62,plain,
( ( $true = sF4 )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK9 @ Y1 @ Y0 )
=> ( ( sK9 @ ( s @ Y1 ) @ ( s @ Y0 ) )
& ( sK9 @ ( s @ ( s @ Y1 ) ) @ Y0 ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f60]) ).
thf(f63,plain,
! [X1: $i] :
( ( $true = sF4 )
| ( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK9 @ Y1 @ Y0 )
=> ( ( sK9 @ ( s @ Y1 ) @ ( s @ Y0 ) )
& ( sK9 @ ( s @ ( s @ Y1 ) ) @ Y0 ) ) ) )
@ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f62]) ).
thf(f64,plain,
! [X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK9 @ Y0 @ X1 )
=> ( ( sK9 @ ( s @ Y0 ) @ ( s @ X1 ) )
& ( sK9 @ ( s @ ( s @ Y0 ) ) @ X1 ) ) ) )
= $true )
| ( $true = sF4 ) ),
inference(beta-eta_normalization,[],[f63]) ).
thf(f65,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( sK9 @ Y0 @ X1 )
=> ( ( sK9 @ ( s @ Y0 ) @ ( s @ X1 ) )
& ( sK9 @ ( s @ ( s @ Y0 ) ) @ X1 ) ) )
@ X2 ) )
| ( $true = sF4 ) ),
inference(pi_proxy_clausification,[],[f64]) ).
thf(f66,plain,
! [X2: $i,X1: $i] :
( ( $true = sF4 )
| ( $true
= ( ( sK9 @ X2 @ X1 )
=> ( ( sK9 @ ( s @ X2 ) @ ( s @ X1 ) )
& ( sK9 @ ( s @ ( s @ X2 ) ) @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f65]) ).
thf(f67,plain,
! [X2: $i,X1: $i] :
( ( ( ( sK9 @ ( s @ X2 ) @ ( s @ X1 ) )
& ( sK9 @ ( s @ ( s @ X2 ) ) @ X1 ) )
= $true )
| ( $true = sF4 )
| ( ( sK9 @ X2 @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f66]) ).
thf(f68,plain,
! [X2: $i,X1: $i] :
( ( ( sK9 @ X2 @ X1 )
= $false )
| ( ( sK9 @ ( s @ ( s @ X2 ) ) @ X1 )
= $true )
| ( $true = sF4 ) ),
inference(and_proxy_clausification,[],[f67]) ).
thf(f69,plain,
! [X2: $i,X1: $i] :
( ( ( sK9 @ ( s @ X2 ) @ ( s @ X1 ) )
= $true )
| ( ( sK9 @ X2 @ X1 )
= $false )
| ( $true = sF4 ) ),
inference(and_proxy_clausification,[],[f67]) ).
thf(f83,definition,
( spl12_1
<=> ( $true = sF5 ) ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
thf(f85,plain,
( ( $true = sF5 )
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f83]) ).
thf(f105,definition,
( spl12_6
<=> ( sF5 = $false ) ),
introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition]) ).
thf(f107,plain,
( ( sF5 = $false )
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f105]) ).
thf(f109,definition,
( spl12_7
<=> ! [X1: $i > $i > $o] :
( ( ( X1 @ c1 @ c1 )
= $false )
| ( $true
= ( X1 @ sK0 @ sK1 ) )
| ( ( X1 @ ( sK8 @ X1 ) @ ( sK7 @ X1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl12_7])],[avatar_definition]) ).
thf(f110,plain,
( ! [X1: $i > $i > $o] :
( ( ( X1 @ ( sK8 @ X1 ) @ ( sK7 @ X1 ) )
= $true )
| ( $true
= ( X1 @ sK0 @ sK1 ) )
| ( ( X1 @ c1 @ c1 )
= $false ) )
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f109]) ).
thf(f111,plain,
( spl12_6
| spl12_7 ),
inference(avatar_split_clause,[],[f52,f109,f105]) ).
thf(f113,definition,
( spl12_8
<=> ! [X1: $i > $i > $o] :
( ( ( X1 @ ( s @ ( sK8 @ X1 ) ) @ ( s @ ( sK7 @ X1 ) ) )
= $false )
| ( ( X1 @ c1 @ c1 )
= $false )
| ( $true
= ( X1 @ sK0 @ sK1 ) )
| ( ( X1 @ ( s @ ( s @ ( sK8 @ X1 ) ) ) @ ( sK7 @ X1 ) )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl12_8])],[avatar_definition]) ).
thf(f114,plain,
( ! [X1: $i > $i > $o] :
( ( ( X1 @ ( s @ ( sK8 @ X1 ) ) @ ( s @ ( sK7 @ X1 ) ) )
= $false )
| ( ( X1 @ c1 @ c1 )
= $false )
| ( ( X1 @ ( s @ ( s @ ( sK8 @ X1 ) ) ) @ ( sK7 @ X1 ) )
= $false )
| ( $true
= ( X1 @ sK0 @ sK1 ) ) )
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f113]) ).
thf(f115,plain,
( spl12_6
| spl12_8 ),
inference(avatar_split_clause,[],[f53,f113,f105]) ).
thf(f116,plain,
spl12_1,
inference(avatar_split_clause,[],[f25,f83]) ).
thf(f118,definition,
( spl12_9
<=> ( $true = sF4 ) ),
introduced(definition,[new_symbols(definition,[spl12_9])],[avatar_definition]) ).
thf(f122,definition,
( spl12_10
<=> ! [X2: $i,X1: $i] :
( ( ( sK9 @ ( s @ X2 ) @ ( s @ X1 ) )
= $true )
| ( ( sK9 @ X2 @ X1 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl12_10])],[avatar_definition]) ).
thf(f123,plain,
( ! [X2: $i,X1: $i] :
( ( ( sK9 @ ( s @ X2 ) @ ( s @ X1 ) )
= $true )
| ( ( sK9 @ X2 @ X1 )
= $false ) )
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f122]) ).
thf(f124,plain,
( spl12_9
| spl12_10 ),
inference(avatar_split_clause,[],[f69,f122,f118]) ).
thf(f126,definition,
( spl12_11
<=> ! [X2: $i,X1: $i] :
( ( ( sK9 @ X2 @ X1 )
= $false )
| ( ( sK9 @ ( s @ ( s @ X2 ) ) @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl12_11])],[avatar_definition]) ).
thf(f127,plain,
( ! [X2: $i,X1: $i] :
( ( ( sK9 @ ( s @ ( s @ X2 ) ) @ X1 )
= $true )
| ( ( sK9 @ X2 @ X1 )
= $false ) )
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f126]) ).
thf(f128,plain,
( spl12_11
| spl12_9 ),
inference(avatar_split_clause,[],[f68,f118,f126]) ).
thf(f130,definition,
( spl12_12
<=> ( $true
= ( sK9 @ c1 @ c1 ) ) ),
introduced(definition,[new_symbols(definition,[spl12_12])],[avatar_definition]) ).
thf(f132,plain,
( ( $true
= ( sK9 @ c1 @ c1 ) )
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f130]) ).
thf(f133,plain,
( spl12_9
| spl12_12 ),
inference(avatar_split_clause,[],[f61,f130,f118]) ).
thf(f135,definition,
( spl12_13
<=> ( ( sK9 @ sF3 @ sK1 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl12_13])],[avatar_definition]) ).
thf(f137,plain,
( ( ( sK9 @ sF3 @ sK1 )
= $false )
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f135]) ).
thf(f138,plain,
( spl12_9
| spl12_13 ),
inference(avatar_split_clause,[],[f59,f135,f118]) ).
thf(f151,plain,
~ spl12_9,
inference(avatar_split_clause,[],[f22,f118]) ).
thf(f152,plain,
( ( $true = $false )
| ~ spl12_1
| ~ spl12_6 ),
inference(forward_demodulation,[],[f85,f107]) ).
thf(f153,plain,
( $false
| ~ spl12_1
| ~ spl12_6 ),
inference(trivial_inequality_removal,[],[f152]) ).
thf(f154,plain,
( ~ spl12_1
| ~ spl12_6 ),
inference(avatar_contradiction_clause,[],[f153]) ).
thf(f221,plain,
( ! [X0: $i] :
( ( $true
= ( sK9 @ ( s @ sF2 ) @ X0 ) )
| ( ( sK9 @ sK0 @ X0 )
= $false ) )
| ~ spl12_11 ),
inference(constrained_superposition,[],[f127,f18]) ).
thf(f223,plain,
( ! [X0: $i] :
( ( $true
= ( sK9 @ sF3 @ X0 ) )
| ( ( sK9 @ sK0 @ X0 )
= $false ) )
| ~ spl12_11 ),
inference(forward_demodulation,[],[f221,f19]) ).
thf(f224,plain,
( ( ( sK9 @ sK0 @ sK1 )
= $false )
| ( $true = $false )
| ~ spl12_11
| ~ spl12_13 ),
inference(constrained_superposition,[],[f223,f137]) ).
thf(f226,plain,
( ( ( sK9 @ sK0 @ sK1 )
= $false )
| ~ spl12_11
| ~ spl12_13 ),
inference(trivial_inequality_removal,[],[f224]) ).
thf(f232,plain,
( ( ( sK9 @ c1 @ c1 )
= $false )
| ( $true
= ( sK9 @ sK0 @ sK1 ) )
| ( $true = $false )
| ( ( sK9 @ ( sK8 @ sK9 ) @ ( sK7 @ sK9 ) )
= $false )
| ( ( sK9 @ ( s @ ( s @ ( sK8 @ sK9 ) ) ) @ ( sK7 @ sK9 ) )
= $false )
| ~ spl12_8
| ~ spl12_10 ),
inference(constrained_superposition,[],[f123,f114]) ).
thf(f235,plain,
( ( $true
= ( sK9 @ sK0 @ sK1 ) )
| ( ( sK9 @ ( s @ ( s @ ( sK8 @ sK9 ) ) ) @ ( sK7 @ sK9 ) )
= $false )
| ( ( sK9 @ ( sK8 @ sK9 ) @ ( sK7 @ sK9 ) )
= $false )
| ( ( sK9 @ c1 @ c1 )
= $false )
| ~ spl12_8
| ~ spl12_10 ),
inference(trivial_inequality_removal,[],[f232]) ).
thf(f238,plain,
( ( ( sK9 @ ( s @ ( s @ ( sK8 @ sK9 ) ) ) @ ( sK7 @ sK9 ) )
= $false )
| ( ( sK9 @ ( sK8 @ sK9 ) @ ( sK7 @ sK9 ) )
= $false )
| ( ( sK9 @ c1 @ c1 )
= $false )
| ( $true = $false )
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f235,f226]) ).
thf(f239,plain,
( ( ( sK9 @ c1 @ c1 )
= $false )
| ( ( sK9 @ ( sK8 @ sK9 ) @ ( sK7 @ sK9 ) )
= $false )
| ( ( sK9 @ ( s @ ( s @ ( sK8 @ sK9 ) ) ) @ ( sK7 @ sK9 ) )
= $false )
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(trivial_inequality_removal,[],[f238]) ).
thf(f242,plain,
( ( ( sK9 @ ( sK8 @ sK9 ) @ ( sK7 @ sK9 ) )
= $false )
| ( ( sK9 @ ( s @ ( s @ ( sK8 @ sK9 ) ) ) @ ( sK7 @ sK9 ) )
= $false )
| ( $true = $false )
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(forward_demodulation,[],[f239,f132]) ).
thf(f243,plain,
( ( ( sK9 @ ( sK8 @ sK9 ) @ ( sK7 @ sK9 ) )
= $false )
| ( ( sK9 @ ( s @ ( s @ ( sK8 @ sK9 ) ) ) @ ( sK7 @ sK9 ) )
= $false )
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(trivial_inequality_removal,[],[f242]) ).
thf(f245,definition,
( spl12_25
<=> ( ( sK9 @ ( s @ ( s @ ( sK8 @ sK9 ) ) ) @ ( sK7 @ sK9 ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl12_25])],[avatar_definition]) ).
thf(f247,plain,
( ( ( sK9 @ ( s @ ( s @ ( sK8 @ sK9 ) ) ) @ ( sK7 @ sK9 ) )
= $false )
| ~ spl12_25 ),
inference(avatar_component_clause,[],[f245]) ).
thf(f249,definition,
( spl12_26
<=> ( ( sK9 @ ( sK8 @ sK9 ) @ ( sK7 @ sK9 ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl12_26])],[avatar_definition]) ).
thf(f251,plain,
( ( ( sK9 @ ( sK8 @ sK9 ) @ ( sK7 @ sK9 ) )
= $false )
| ~ spl12_26 ),
inference(avatar_component_clause,[],[f249]) ).
thf(f253,plain,
( spl12_26
| spl12_25
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(avatar_split_clause,[],[f243,f135,f130,f126,f122,f113,f245,f249]) ).
thf(f254,plain,
( ( $true = $false )
| ( ( sK9 @ ( sK8 @ sK9 ) @ ( sK7 @ sK9 ) )
= $false )
| ~ spl12_11
| ~ spl12_25 ),
inference(constrained_superposition,[],[f247,f127]) ).
thf(f257,plain,
( ( ( sK9 @ ( sK8 @ sK9 ) @ ( sK7 @ sK9 ) )
= $false )
| ~ spl12_11
| ~ spl12_25 ),
inference(trivial_inequality_removal,[],[f254]) ).
thf(f260,plain,
( spl12_26
| ~ spl12_11
| ~ spl12_25 ),
inference(avatar_split_clause,[],[f257,f245,f126,f249]) ).
thf(f263,plain,
( ( $true = $false )
| ( ( sK9 @ c1 @ c1 )
= $false )
| ( $true
= ( sK9 @ sK0 @ sK1 ) )
| ~ spl12_7
| ~ spl12_26 ),
inference(constrained_superposition,[],[f110,f251]) ).
thf(f266,plain,
( ( $true
= ( sK9 @ sK0 @ sK1 ) )
| ( ( sK9 @ c1 @ c1 )
= $false )
| ~ spl12_7
| ~ spl12_26 ),
inference(trivial_inequality_removal,[],[f263]) ).
thf(f269,plain,
( ( $true = $false )
| ( ( sK9 @ c1 @ c1 )
= $false )
| ~ spl12_7
| ~ spl12_11
| ~ spl12_13
| ~ spl12_26 ),
inference(forward_demodulation,[],[f266,f226]) ).
thf(f270,plain,
( ( ( sK9 @ c1 @ c1 )
= $false )
| ~ spl12_7
| ~ spl12_11
| ~ spl12_13
| ~ spl12_26 ),
inference(trivial_inequality_removal,[],[f269]) ).
thf(f274,plain,
( ( $true = $false )
| ~ spl12_7
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_26 ),
inference(forward_demodulation,[],[f270,f132]) ).
thf(f275,plain,
( $false
| ~ spl12_7
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_26 ),
inference(trivial_inequality_removal,[],[f274]) ).
thf(f276,plain,
( ~ spl12_7
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_26 ),
inference(avatar_contradiction_clause,[],[f275]) ).
cnf(s5,plain,
( spl12_6
| spl12_7 ),
inference(sat_conversion,[],[f111]) ).
cnf(s6,plain,
( spl12_6
| spl12_8 ),
inference(sat_conversion,[],[f115]) ).
cnf(s7,plain,
spl12_1,
inference(sat_conversion,[],[f116]) ).
cnf(s8,plain,
( spl12_9
| spl12_10 ),
inference(sat_conversion,[],[f124]) ).
cnf(s9,plain,
( spl12_9
| spl12_11 ),
inference(sat_conversion,[],[f128]) ).
cnf(s10,plain,
( spl12_9
| spl12_12 ),
inference(sat_conversion,[],[f133]) ).
cnf(s11,plain,
( spl12_9
| spl12_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s14,plain,
~ spl12_9,
inference(sat_conversion,[],[f151]) ).
cnf(s15,plain,
( ~ spl12_1
| ~ spl12_6 ),
inference(sat_conversion,[],[f154]) ).
cnf(s21,plain,
( ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| spl12_25
| spl12_26 ),
inference(sat_conversion,[],[f253]) ).
cnf(s22,plain,
( ~ spl12_11
| ~ spl12_25
| spl12_26 ),
inference(sat_conversion,[],[f260]) ).
cnf(s25,plain,
( ~ spl12_7
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_26 ),
inference(sat_conversion,[],[f276]) ).
cnf(s26,plain,
spl12_13,
inference(rat,[],[s11,s14]) ).
cnf(s27,plain,
spl12_12,
inference(rat,[],[s10,s14]) ).
cnf(s28,plain,
spl12_11,
inference(rat,[],[s9,s14]) ).
cnf(s29,plain,
spl12_10,
inference(rat,[],[s8,s14]) ).
cnf(s30,plain,
~ spl12_6,
inference(rat,[],[s15,s7]) ).
cnf(s31,plain,
spl12_8,
inference(rat,[],[s6,s30]) ).
cnf(s32,plain,
spl12_7,
inference(rat,[],[s5,s30]) ).
cnf(s33,plain,
~ spl12_26,
inference(rat,[],[s25,s28,s26,s27,s32]) ).
cnf(s34,plain,
~ spl12_25,
inference(rat,[],[s22,s28,s33]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s21,s31,s29,s26,s27,s28,s33,s34]) ).
thf(f277,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ110^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n010.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 13:24:48 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.29 % (2839997)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.29 % (2840008)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.29 % (2840008)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.21/0.29 % (2840008)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1100566737:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.29 % (2840008) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2839997-2840008"...
% 0.21/0.29 % (2840002)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=735210511:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.29 % (2840005)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=4071198553:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.21/0.29 % (2840003)lrs+10_16_si=on:nwc=1.5:random_seed=1578333928:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.29 % (2840004)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1645318996:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.29 % (2840006)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=806901536:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.29 % (2840008)...printing done.
% 0.21/0.29 % (2840007)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3431847394:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.29 % (2840008)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Theorem for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29 % (2840008)------------------------------
% 0.21/0.29 % (2840008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (2840008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (2840008)CaDiCaL version: 2.1.3
% 0.21/0.29 % (2840008)Termination reason: Refutation
% 0.21/0.29 % (2840008)Time elapsed: 0.006 s
% 0.21/0.29 % (2840008)Peak memory usage: 13 MB
% 0.21/0.29 % (2840008)Instructions burned: 19 (million)
% 0.21/0.29 % (2839997)Success in time 0.046 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------