%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU460^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 08:32:08 AM UTC 2026
% Result : Theorem 0.07s 0.26s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 6
% Syntax : Number of formulae : 61 ( 42 unt; 0 typ; 2 def)
% Number of atoms : 316 ( 52 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 518 ( 21 ~; 43 |; 0 &; 361 @)
% ( 2 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 132 ( 132 >; 0 *; 0 +; 0 <<)
% Number of symbols : 54 ( 50 usr; 7 con; 0-4 aty)
% ( 52 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 111 ( 0 sgn 16 !; 0 ?; 111 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(func_def_2,type,
inv: ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_3,type,
idem: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).
thf(func_def_4,type,
infl: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).
thf(func_def_5,type,
mono: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).
thf(func_def_6,type,
refl: ( $i > $i > $o ) > $o ).
thf(func_def_7,type,
irrefl: ( $i > $i > $o ) > $o ).
thf(func_def_8,type,
rc: ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_9,type,
symm: ( $i > $i > $o ) > $o ).
thf(func_def_10,type,
antisymm: ( $i > $i > $o ) > $o ).
thf(func_def_11,type,
asymm: ( $i > $i > $o ) > $o ).
thf(func_def_12,type,
sc: ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_13,type,
trans: ( $i > $i > $o ) > $o ).
thf(func_def_14,type,
tc: ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_15,type,
trc: ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_16,type,
trsc: ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_17,type,
po: ( $i > $i > $o ) > $o ).
thf(func_def_18,type,
so: ( $i > $i > $o ) > $o ).
thf(func_def_19,type,
total: ( $i > $i > $o ) > $o ).
thf(func_def_20,type,
term: ( $i > $i > $o ) > $o ).
thf(func_def_21,type,
ind: ( $i > $i > $o ) > $o ).
thf(func_def_22,type,
innf: ( $i > $i > $o ) > $i > $o ).
thf(func_def_23,type,
nfof: ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_24,type,
norm: ( $i > $i > $o ) > $o ).
thf(func_def_25,type,
join: ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_26,type,
lconfl: ( $i > $i > $o ) > $o ).
thf(func_def_27,type,
sconfl: ( $i > $i > $o ) > $o ).
thf(func_def_28,type,
confl: ( $i > $i > $o ) > $o ).
thf(func_def_29,type,
cr: ( $i > $i > $o ) > $o ).
thf(func_def_30,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_31,type,
vIMP: $o > $o > $o ).
thf(func_def_32,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_33,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_34,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_35,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_36,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_37,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_38,type,
vNOT: $o > $o ).
thf(func_def_39,type,
vOR: $o > $o > $o ).
thf(func_def_40,type,
vAND: $o > $o > $o ).
thf(func_def_41,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_44,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_45,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_46,type,
sK0: $i > $i > $o ).
thf(func_def_47,type,
sK1: $i > $i > $o ).
thf(f1,axiom,
( subrel
= ( ^ [X0: $i > $i > $o,X1: $i > $i > $o] :
! [X2: $i,X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X2 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET009^0.ax',subrel) ).
thf(f5,axiom,
( mono
= ( ^ [X0: ( $i > $i > $o ) > $i > $i > $o] :
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( subrel @ X1 @ X2 )
=> ( subrel @ ( X0 @ X1 ) @ ( X0 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET009^0.ax',monotonic) ).
thf(f12,axiom,
( sc
= ( ^ [X0: $i > $i > $o,X1: $i,X2: $i] :
( ( X0 @ X1 @ X2 )
| ( X0 @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET009^0.ax',symmetric_closure) ).
thf(f30,conjecture,
mono @ sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_closure_op_is_monotonic) ).
thf(f31,negated_conjecture,
~ ( mono @ sc ),
inference(negated_conjecture,[status(cth)],[f30]) ).
thf(f32,plain,
( subrel
= ( ^ [X0: $i > $i > $o,X1: $i > $i > $o] :
! [X2: $i,X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X2 @ X3 ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f33,plain,
( subrel
= ( ^ [Y0: $i > $i > $o,Y1: $i > $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f32]) ).
thf(f38,plain,
( mono
= ( ^ [X0: ( $i > $i > $o ) > $i > $i > $o] :
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( subrel @ X1 @ X2 )
=> ( subrel @ ( X0 @ X1 ) @ ( X0 @ X2 ) ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f39,plain,
( mono
= ( ^ [Y0: ( $i > $i > $o ) > $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( subrel @ Y2 @ Y1 )
=> ( subrel @ ( Y0 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f38]) ).
thf(f52,plain,
( sc
= ( ^ [X0: $i > $i > $o,X1: $i,X2: $i] :
( ( X0 @ X1 @ X2 )
| ( X0 @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f12]) ).
thf(f53,plain,
( sc
= ( ^ [Y0: $i > $i > $o,Y1: $i,Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
| ( Y0 @ Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f52]) ).
thf(f86,plain,
~ ( mono @ sc ),
inference(rectify,[],[f31]) ).
thf(f87,plain,
( ( mono @ sc )
!= $true ),
inference(fool_elimination,[],[f86]) ).
thf(f88,plain,
( ( mono @ sc )
!= $true ),
inference(flattening,[],[f87]) ).
thf(f89,plain,
( subrel
= ( ^ [Y0: $i > $i > $o,Y1: $i > $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f33]) ).
thf(f93,plain,
( mono
= ( ^ [Y0: ( $i > $i > $o ) > $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( subrel @ Y2 @ Y1 )
=> ( subrel @ ( Y0 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f39]) ).
thf(f100,plain,
( sc
= ( ^ [Y0: $i > $i > $o,Y1: $i,Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
| ( Y0 @ Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f53]) ).
thf(f118,plain,
( ( mono @ sc )
!= $true ),
inference(cnf_transformation,[],[f88]) ).
thf(f122,plain,
( mono
= ( ^ [Y0: ( $i > $i > $o ) > $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ^ [Y3: $i > $i > $o,Y4: $i > $i > $o] :
( !! @ $i
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ( Y3 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) )
@ Y2
@ Y1 )
=> ( ^ [Y3: $i > $i > $o,Y4: $i > $i > $o] :
( !! @ $i
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ( Y3 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) )
@ ( Y0 @ Y2 )
@ ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f93,f89,f89]) ).
thf(f136,plain,
( $true
!= ( ^ [Y0: ( $i > $i > $o ) > $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ^ [Y3: $i > $i > $o,Y4: $i > $i > $o] :
( !! @ $i
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ( Y3 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) )
@ Y2
@ Y1 )
=> ( ^ [Y3: $i > $i > $o,Y4: $i > $i > $o] :
( !! @ $i
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ( Y3 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) )
@ ( Y0 @ Y2 )
@ ( Y0 @ Y1 ) ) ) ) )
@ ^ [Y0: $i > $i > $o,Y1: $i,Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
| ( Y0 @ Y1 @ Y2 ) ) ) ),
inference(definition_unfolding,[],[f118,f122,f100]) ).
thf(f137,plain,
( $true
!= ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 @ Y2 )
=> ( Y0 @ Y3 @ Y2 ) ) ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y1 @ Y2 @ Y3 )
| ( Y1 @ Y3 @ Y2 ) )
=> ( ( Y0 @ Y2 @ Y3 )
| ( Y0 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f136]) ).
thf(f138,plain,
( $false
= ( ^ [Y0: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 @ Y2 )
=> ( Y0 @ Y3 @ Y2 ) ) ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y1 @ Y2 @ Y3 )
| ( Y1 @ Y3 @ Y2 ) )
=> ( ( Y0 @ Y2 @ Y3 )
| ( Y0 @ Y3 @ Y2 ) ) ) ) ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f137]) ).
thf(f139,plain,
( $false
= ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( sK0 @ Y2 @ Y1 ) ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y1 @ Y2 )
| ( Y0 @ Y2 @ Y1 ) )
=> ( ( sK0 @ Y1 @ Y2 )
| ( sK0 @ Y2 @ Y1 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f138]) ).
thf(f140,plain,
( $false
= ( ^ [Y0: $i > $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( sK0 @ Y2 @ Y1 ) ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y1 @ Y2 )
| ( Y0 @ Y2 @ Y1 ) )
=> ( ( sK0 @ Y1 @ Y2 )
| ( sK0 @ Y2 @ Y1 ) ) ) ) ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f139]) ).
thf(f141,plain,
( $false
= ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK1 @ Y1 @ Y0 )
=> ( sK0 @ Y1 @ Y0 ) ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK1 @ Y0 @ Y1 )
| ( sK1 @ Y1 @ Y0 ) )
=> ( ( sK0 @ Y0 @ Y1 )
| ( sK0 @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f140]) ).
thf(f142,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK1 @ Y0 @ Y1 )
| ( sK1 @ Y1 @ Y0 ) )
=> ( ( sK0 @ Y0 @ Y1 )
| ( sK0 @ Y1 @ Y0 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f141]) ).
thf(f143,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK1 @ Y1 @ Y0 )
=> ( sK0 @ Y1 @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f141]) ).
thf(f144,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK1 @ Y1 @ Y0 )
=> ( sK0 @ Y1 @ Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f143]) ).
thf(f145,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 @ X1 )
=> ( sK0 @ Y0 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f144]) ).
thf(f146,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( sK1 @ Y0 @ X1 )
=> ( sK0 @ Y0 @ X1 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f145]) ).
thf(f147,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( sK1 @ X2 @ X1 )
=> ( sK0 @ X2 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f146]) ).
thf(f148,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( sK1 @ X2 @ X1 ) )
| ( $true
= ( sK0 @ X2 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f147]) ).
thf(f149,plain,
( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK1 @ Y0 @ Y1 )
| ( sK1 @ Y1 @ Y0 ) )
=> ( ( sK0 @ Y0 @ Y1 )
| ( sK0 @ Y1 @ Y0 ) ) ) )
@ sK2 ) ),
inference(sigma_proxy_clausification,[],[f142]) ).
thf(f150,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK1 @ sK2 @ Y0 )
| ( sK1 @ Y0 @ sK2 ) )
=> ( ( sK0 @ sK2 @ Y0 )
| ( sK0 @ Y0 @ sK2 ) ) ) ) ),
inference(beta-eta_normalization,[],[f149]) ).
thf(f151,plain,
( $false
= ( ^ [Y0: $i] :
( ( ( sK1 @ sK2 @ Y0 )
| ( sK1 @ Y0 @ sK2 ) )
=> ( ( sK0 @ sK2 @ Y0 )
| ( sK0 @ Y0 @ sK2 ) ) )
@ sK3 ) ),
inference(sigma_proxy_clausification,[],[f150]) ).
thf(f152,plain,
( $false
= ( ( ( sK1 @ sK2 @ sK3 )
| ( sK1 @ sK3 @ sK2 ) )
=> ( ( sK0 @ sK2 @ sK3 )
| ( sK0 @ sK3 @ sK2 ) ) ) ),
inference(beta-eta_normalization,[],[f151]) ).
thf(f153,plain,
( $false
= ( ( sK0 @ sK2 @ sK3 )
| ( sK0 @ sK3 @ sK2 ) ) ),
inference(imp_proxy_clausification,[],[f152]) ).
thf(f154,plain,
( $true
= ( ( sK1 @ sK2 @ sK3 )
| ( sK1 @ sK3 @ sK2 ) ) ),
inference(imp_proxy_clausification,[],[f152]) ).
thf(f155,plain,
( ( $true
= ( sK1 @ sK3 @ sK2 ) )
| ( $true
= ( sK1 @ sK2 @ sK3 ) ) ),
inference(or_proxy_clausification,[],[f154]) ).
thf(f156,plain,
( $false
= ( sK0 @ sK3 @ sK2 ) ),
inference(or_proxy_clausification,[],[f153]) ).
thf(f157,plain,
( $false
= ( sK0 @ sK2 @ sK3 ) ),
inference(or_proxy_clausification,[],[f153]) ).
thf(f159,definition,
( spl4_1
<=> ( $true
= ( sK1 @ sK2 @ sK3 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
thf(f161,plain,
( ( $true
= ( sK1 @ sK2 @ sK3 ) )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f159]) ).
thf(f163,definition,
( spl4_2
<=> ( $true
= ( sK1 @ sK3 @ sK2 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
thf(f165,plain,
( ( $true
= ( sK1 @ sK3 @ sK2 ) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f163]) ).
thf(f166,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f155,f163,f159]) ).
thf(f176,plain,
( ( $true = $false )
| ( $true
= ( sK0 @ sK3 @ sK2 ) )
| ~ spl4_2 ),
inference(constrained_superposition,[],[f148,f165]) ).
thf(f181,plain,
( ( $true
= ( sK0 @ sK3 @ sK2 ) )
| ~ spl4_2 ),
inference(trivial_inequality_removal,[],[f176]) ).
thf(f185,plain,
( ( $true = $false )
| ~ spl4_2 ),
inference(forward_demodulation,[],[f181,f156]) ).
thf(f186,plain,
( $false
| ~ spl4_2 ),
inference(trivial_inequality_removal,[],[f185]) ).
thf(f187,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f186]) ).
thf(f189,plain,
( ( $true = $false )
| ( $true
= ( sK0 @ sK2 @ sK3 ) )
| ~ spl4_1 ),
inference(constrained_superposition,[],[f148,f161]) ).
thf(f190,plain,
( ( $true
= ( sK0 @ sK2 @ sK3 ) )
| ~ spl4_1 ),
inference(trivial_inequality_removal,[],[f189]) ).
thf(f197,plain,
( ( $true = $false )
| ~ spl4_1 ),
inference(forward_demodulation,[],[f190,f157]) ).
thf(f198,plain,
( $false
| ~ spl4_1 ),
inference(trivial_inequality_removal,[],[f197]) ).
thf(f199,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f198]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f166]) ).
cnf(s3,plain,
~ spl4_2,
inference(sat_conversion,[],[f187]) ).
cnf(s4,plain,
~ spl4_1,
inference(sat_conversion,[],[f199]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s4]) ).
thf(f200,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU460^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n007.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 13:39:56 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.26 % (3376702)Will run a generic schedule for satisfiability detection.
% 0.07/0.26 % (3376713)% WARNING: option uhcvi not known.
% 0.07/0.26 % (3376713)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1185689373:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.26 % (3376713)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.07/0.26 % (3376713)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.07/0.26 % (3376713) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3376702-3376713"...
% 0.07/0.26 % (3376713)...printing done.
% 0.07/0.26 % (3376713)Refutation found. Thanks to Tanya!
% 0.07/0.26 % SZS status Theorem for theBenchmark
% 0.07/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.26 % (3376713)------------------------------
% 0.07/0.26 % (3376713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.26 % (3376713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.26 % (3376713)CaDiCaL version: 2.1.3
% 0.07/0.26 % (3376713)Termination reason: Refutation
% 0.07/0.26 % (3376713)Time elapsed: 0.005 s
% 0.07/0.26 % (3376713)Peak memory usage: 13 MB
% 0.07/0.26 % (3376713)Instructions burned: 15 (million)
% 0.07/0.26 % (3376702)Success in time 0.021 s
% 0.07/0.26 % Vampire exiting
%------------------------------------------------------------------------------