%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV222^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 08:38:03 AM UTC 2026
% Result : Theorem 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of formulae : 89 ( 7 unt; 0 typ; 7 def)
% Number of atoms : 549 ( 144 equ; 0 cnn)
% Maximal formula atoms : 12 ( 6 avg)
% Number of connectives : 534 ( 129 ~; 179 |; 24 &; 182 @)
% ( 11 <=>; 8 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 49 ( 49 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 10 con; 0-4 aty)
% Number of variables : 84 ( 0 sgn 45 !; 17 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cZ: a > $o ).
thf(func_def_1,type,
cW: ( a > $o ) > $o ).
thf(func_def_5,type,
vOR: $o > $o > $o ).
thf(func_def_6,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_7,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_8,type,
sK0: a ).
thf(func_def_9,type,
sK1: a > $o ).
thf(func_def_10,type,
sK2: a > $o ).
thf(func_def_11,type,
sK3: a > $o ).
thf(func_def_12,type,
vNOT: $o > $o ).
thf(f1,conjecture,
! [X0: a] :
( ( ( cZ @ X0 )
| ! [X1: a > $o] :
( ( cW @ X1 )
=> ( X1 @ X0 ) ) )
<=> ! [X1: a > $o] :
( ? [X2: a > $o] :
( ( cW @ X2 )
& ( ( ^ [X3: a] :
( ( cZ @ X3 )
| ( X2 @ X3 ) ) )
= X1 ) )
=> ( X1 @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM60_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: a] :
( ( ( cZ @ X0 )
| ! [X1: a > $o] :
( ( cW @ X1 )
=> ( X1 @ X0 ) ) )
<=> ! [X1: a > $o] :
( ? [X2: a > $o] :
( ( cW @ X2 )
& ( ( ^ [X3: a] :
( ( cZ @ X3 )
| ( X2 @ X3 ) ) )
= X1 ) )
=> ( X1 @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a] :
( ( ( cZ @ X0 )
| ! [X1: a > $o] :
( ( cW @ X1 )
=> ( X1 @ X0 ) ) )
<=> ! [X2: a > $o] :
( ? [X3: a > $o] :
( ( cW @ X3 )
& ( ( ^ [X4: a] :
( ( cZ @ X4 )
| ( X3 @ X4 ) ) )
= X2 ) )
=> ( X2 @ X0 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X0: a] :
( ( ( ( cZ @ X0 )
= $true )
| ! [X1: a > $o] :
( ( ( cW @ X1 )
= $true )
=> ( ( X1 @ X0 )
= $true ) ) )
<=> ! [X2: a > $o] :
( ? [X3: a > $o] :
( ( $true
= ( cW @ X3 ) )
& ( ( ^ [Y0: a] :
( ( X3 @ Y0 )
| ( cZ @ Y0 ) ) )
= X2 ) )
=> ( ( X2 @ X0 )
= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X0: a] :
( ( ( ( cZ @ X0 )
= $true )
| ! [X1: a > $o] :
( ( ( X1 @ X0 )
= $true )
| ( ( cW @ X1 )
!= $true ) ) )
<~> ! [X2: a > $o] :
( ! [X3: a > $o] :
( ( $true
!= ( cW @ X3 ) )
| ( ( ^ [Y0: a] :
( ( X3 @ Y0 )
| ( cZ @ Y0 ) ) )
!= X2 ) )
| ( ( X2 @ X0 )
= $true ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
? [X0: a] :
( ( ? [X2: a > $o] :
( ? [X3: a > $o] :
( ( $true
= ( cW @ X3 ) )
& ( ( ^ [Y0: a] :
( ( X3 @ Y0 )
| ( cZ @ Y0 ) ) )
= X2 ) )
& ( ( X2 @ X0 )
!= $true ) )
| ( ( ( cZ @ X0 )
!= $true )
& ? [X1: a > $o] :
( ( ( X1 @ X0 )
!= $true )
& ( ( cW @ X1 )
= $true ) ) ) )
& ( ! [X2: a > $o] :
( ! [X3: a > $o] :
( ( $true
!= ( cW @ X3 ) )
| ( ( ^ [Y0: a] :
( ( X3 @ Y0 )
| ( cZ @ Y0 ) ) )
!= X2 ) )
| ( ( X2 @ X0 )
= $true ) )
| ( ( cZ @ X0 )
= $true )
| ! [X1: a > $o] :
( ( ( X1 @ X0 )
= $true )
| ( ( cW @ X1 )
!= $true ) ) ) ),
inference(nnf_transformation,[],[f5]) ).
thf(f7,plain,
? [X0: a] :
( ( ? [X2: a > $o] :
( ? [X3: a > $o] :
( ( $true
= ( cW @ X3 ) )
& ( ( ^ [Y0: a] :
( ( X3 @ Y0 )
| ( cZ @ Y0 ) ) )
= X2 ) )
& ( ( X2 @ X0 )
!= $true ) )
| ( ( ( cZ @ X0 )
!= $true )
& ? [X1: a > $o] :
( ( ( X1 @ X0 )
!= $true )
& ( ( cW @ X1 )
= $true ) ) ) )
& ( ! [X2: a > $o] :
( ! [X3: a > $o] :
( ( $true
!= ( cW @ X3 ) )
| ( ( ^ [Y0: a] :
( ( X3 @ Y0 )
| ( cZ @ Y0 ) ) )
!= X2 ) )
| ( ( X2 @ X0 )
= $true ) )
| ( ( cZ @ X0 )
= $true )
| ! [X1: a > $o] :
( ( ( X1 @ X0 )
= $true )
| ( ( cW @ X1 )
!= $true ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f8,plain,
? [X0: a] :
( ( ? [X1: a > $o] :
( ? [X2: a > $o] :
( ( ( cW @ X2 )
= $true )
& ( ( ^ [Y0: a] :
( ( X2 @ Y0 )
| ( cZ @ Y0 ) ) )
= X1 ) )
& ( ( X1 @ X0 )
!= $true ) )
| ( ( ( cZ @ X0 )
!= $true )
& ? [X3: a > $o] :
( ( ( X3 @ X0 )
!= $true )
& ( $true
= ( cW @ X3 ) ) ) ) )
& ( ! [X4: a > $o] :
( ! [X5: a > $o] :
( ( ( cW @ X5 )
!= $true )
| ( ( ^ [Y0: a] :
( ( X5 @ Y0 )
| ( cZ @ Y0 ) ) )
!= X4 ) )
| ( ( X4 @ X0 )
= $true ) )
| ( ( cZ @ X0 )
= $true )
| ! [X6: a > $o] :
( ( ( X6 @ X0 )
= $true )
| ( ( cW @ X6 )
!= $true ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f9,plain,
( ( ( ( ( cW @ sK2 )
= $true )
& ( ( ^ [Y0: a] :
( ( sK2 @ Y0 )
| ( cZ @ Y0 ) ) )
= sK1 )
& ( $true
!= ( sK1 @ sK0 ) ) )
| ( ( ( cZ @ sK0 )
!= $true )
& ( ( sK3 @ sK0 )
!= $true )
& ( ( cW @ sK3 )
= $true ) ) )
& ( ! [X4: a > $o] :
( ! [X5: a > $o] :
( ( ( cW @ X5 )
!= $true )
| ( ( ^ [Y0: a] :
( ( X5 @ Y0 )
| ( cZ @ Y0 ) ) )
!= X4 ) )
| ( ( X4 @ sK0 )
= $true ) )
| ( ( cZ @ sK0 )
= $true )
| ! [X6: a > $o] :
( ( ( X6 @ sK0 )
= $true )
| ( ( cW @ X6 )
!= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f8]) ).
thf(f10,plain,
! [X6: a > $o,X4: a > $o,X5: a > $o] :
( ( ( cW @ X5 )
!= $true )
| ( ( ^ [Y0: a] :
( ( X5 @ Y0 )
| ( cZ @ Y0 ) ) )
!= X4 )
| ( ( X4 @ sK0 )
= $true )
| ( ( cZ @ sK0 )
= $true )
| ( ( X6 @ sK0 )
= $true )
| ( ( cW @ X6 )
!= $true ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f11,plain,
( ( $true
!= ( sK1 @ sK0 ) )
| ( ( cW @ sK3 )
= $true ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f12,plain,
( ( ( sK3 @ sK0 )
!= $true )
| ( $true
!= ( sK1 @ sK0 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f13,plain,
( ( ( cZ @ sK0 )
!= $true )
| ( $true
!= ( sK1 @ sK0 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f14,plain,
( ( ( cW @ sK3 )
= $true )
| ( ( ^ [Y0: a] :
( ( sK2 @ Y0 )
| ( cZ @ Y0 ) ) )
= sK1 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f15,plain,
( ( ( ^ [Y0: a] :
( ( sK2 @ Y0 )
| ( cZ @ Y0 ) ) )
= sK1 )
| ( ( sK3 @ sK0 )
!= $true ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f16,plain,
( ( ( cZ @ sK0 )
!= $true )
| ( ( ^ [Y0: a] :
( ( sK2 @ Y0 )
| ( cZ @ Y0 ) ) )
= sK1 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f17,plain,
( ( ( cW @ sK2 )
= $true )
| ( ( cW @ sK3 )
= $true ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f18,plain,
( ( ( sK3 @ sK0 )
!= $true )
| ( ( cW @ sK2 )
= $true ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f22,plain,
! [X6: a > $o,X5: a > $o] :
( ( ( X6 @ sK0 )
= $true )
| ( ( cW @ X6 )
!= $true )
| ( ( cW @ X5 )
!= $true )
| ( ( cZ @ sK0 )
= $true )
| ( ( ^ [Y0: a] :
( ( X5 @ Y0 )
| ( cZ @ Y0 ) )
@ sK0 )
= $true ) ),
inference(equality_resolution,[],[f10]) ).
thf(f23,plain,
! [X6: a > $o,X5: a > $o] :
( ( ( cW @ X5 )
!= $true )
| ( ( cW @ X6 )
!= $true )
| ( ( cZ @ sK0 )
= $true )
| ( ( ( X5 @ sK0 )
| ( cZ @ sK0 ) )
= $true )
| ( ( X6 @ sK0 )
= $true ) ),
inference(beta-eta_normalization,[],[f22]) ).
thf(f24,plain,
! [X6: a > $o,X5: a > $o] :
( ( ( cZ @ sK0 )
= $true )
| ( ( X5 @ sK0 )
= $true )
| ( ( X6 @ sK0 )
= $true )
| ( ( cW @ X6 )
!= $true )
| ( ( cW @ X5 )
!= $true )
| ( ( cZ @ sK0 )
= $true ) ),
inference(or_proxy_clausification,[],[f23]) ).
thf(f25,plain,
! [X6: a > $o,X5: a > $o] :
( ( ( cW @ X5 )
!= $true )
| ( ( X6 @ sK0 )
= $true )
| ( ( cZ @ sK0 )
= $true )
| ( ( X5 @ sK0 )
= $true )
| ( ( cW @ X6 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f24]) ).
thf(f27,definition,
( spl4_1
<=> ( $true
= ( sK1 @ sK0 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
thf(f29,plain,
( ( $true
!= ( sK1 @ sK0 ) )
| spl4_1 ),
inference(avatar_component_clause,[],[f27]) ).
thf(f31,definition,
( spl4_2
<=> ( ( cZ @ sK0 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
thf(f32,plain,
( ( ( cZ @ sK0 )
= $true )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f31]) ).
thf(f34,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f13,f31,f27]) ).
thf(f36,definition,
( spl4_3
<=> ( ( ^ [Y0: a] :
( ( sK2 @ Y0 )
| ( cZ @ Y0 ) ) )
= sK1 ) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
thf(f38,plain,
( ( ( ^ [Y0: a] :
( ( sK2 @ Y0 )
| ( cZ @ Y0 ) ) )
= sK1 )
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f36]) ).
thf(f39,plain,
( spl4_3
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f16,f31,f36]) ).
thf(f41,definition,
( spl4_4
<=> ! [X5: a > $o] :
( ( ( cW @ X5 )
!= $true )
| ( ( X5 @ sK0 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
thf(f42,plain,
( ! [X5: a > $o] :
( ( ( cW @ X5 )
!= $true )
| ( ( X5 @ sK0 )
= $true ) )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f41]) ).
thf(f43,plain,
( spl4_4
| spl4_4
| spl4_2 ),
inference(avatar_split_clause,[],[f25,f31,f41,f41]) ).
thf(f45,definition,
( spl4_5
<=> ( ( cW @ sK2 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
thf(f47,plain,
( ( ( cW @ sK2 )
= $true )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f45]) ).
thf(f49,definition,
( spl4_6
<=> ( ( cW @ sK3 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
thf(f51,plain,
( ( ( cW @ sK3 )
= $true )
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f49]) ).
thf(f52,plain,
( spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f17,f49,f45]) ).
thf(f54,definition,
( spl4_7
<=> ( ( sK3 @ sK0 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
thf(f56,plain,
( ( ( sK3 @ sK0 )
!= $true )
| spl4_7 ),
inference(avatar_component_clause,[],[f54]) ).
thf(f57,plain,
( spl4_3
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f15,f54,f36]) ).
thf(f58,plain,
( spl4_5
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f18,f54,f45]) ).
thf(f59,plain,
( spl4_3
| spl4_6 ),
inference(avatar_split_clause,[],[f14,f49,f36]) ).
thf(f60,plain,
( spl4_6
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f11,f27,f49]) ).
thf(f62,plain,
( ~ spl4_7
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f12,f27,f54]) ).
thf(f63,plain,
( ! [X1: a] :
( ( sK1 @ X1 )
= ( ^ [Y0: a] :
( ( sK2 @ Y0 )
| ( cZ @ Y0 ) )
@ X1 ) )
| ~ spl4_3 ),
inference(argument_congruence,[],[f38]) ).
thf(f64,plain,
( ! [X1: a] :
( ( ( sK1 @ X1 )
= $true )
| ( $false
= ( ^ [Y0: a] :
( ( sK2 @ Y0 )
| ( cZ @ Y0 ) )
@ X1 ) ) )
| ~ spl4_3 ),
inference(iff_proxy_clausification,[],[f63]) ).
thf(f68,plain,
( ! [X1: a] :
( ( $false
= ( ( sK2 @ X1 )
| ( cZ @ X1 ) ) )
| ( ( sK1 @ X1 )
= $true ) )
| ~ spl4_3 ),
inference(beta-eta_normalization,[],[f64]) ).
thf(f69,plain,
( ! [X1: a] :
( ( ( sK1 @ X1 )
= $true )
| ( $false
= ( cZ @ X1 ) ) )
| ~ spl4_3 ),
inference(or_proxy_clausification,[],[f68]) ).
thf(f70,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ X1 ) )
| ( ( sK1 @ X1 )
= $true ) )
| ~ spl4_3 ),
inference(or_proxy_clausification,[],[f68]) ).
thf(f71,plain,
( ( $true != $true )
| ( $false
= ( cZ @ sK0 ) )
| spl4_1
| ~ spl4_3 ),
inference(constrained_superposition,[],[f29,f69]) ).
thf(f72,plain,
( ( $false
= ( cZ @ sK0 ) )
| spl4_1
| ~ spl4_3 ),
inference(trivial_inequality_removal,[],[f71]) ).
thf(f73,plain,
( ( $false = $true )
| spl4_1
| ~ spl4_2
| ~ spl4_3 ),
inference(forward_demodulation,[],[f72,f32]) ).
thf(f74,plain,
( $false
| spl4_1
| ~ spl4_2
| ~ spl4_3 ),
inference(trivial_inequality_removal,[],[f73]) ).
thf(f75,plain,
( spl4_1
| ~ spl4_2
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f74]) ).
thf(f77,plain,
( ( $true != $true )
| ( ( sK2 @ sK0 )
= $true )
| ~ spl4_4
| ~ spl4_5 ),
inference(constrained_superposition,[],[f42,f47]) ).
thf(f78,plain,
( ( ( sK2 @ sK0 )
= $true )
| ~ spl4_4
| ~ spl4_5 ),
inference(trivial_inequality_removal,[],[f77]) ).
thf(f79,plain,
( ( $false = $true )
| ( $true
= ( sK1 @ sK0 ) )
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5 ),
inference(constrained_superposition,[],[f78,f70]) ).
thf(f82,plain,
( ( $true
= ( sK1 @ sK0 ) )
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5 ),
inference(trivial_inequality_removal,[],[f79]) ).
thf(f85,plain,
( $false
| spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f82,f29]) ).
thf(f86,plain,
( spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5 ),
inference(avatar_contradiction_clause,[],[f85]) ).
thf(f87,plain,
( ( ( sK3 @ sK0 )
= $true )
| ( $true != $true )
| ~ spl4_4
| ~ spl4_6 ),
inference(constrained_superposition,[],[f42,f51]) ).
thf(f88,plain,
( ( ( sK3 @ sK0 )
= $true )
| ~ spl4_4
| ~ spl4_6 ),
inference(trivial_inequality_removal,[],[f87]) ).
thf(f89,plain,
( $false
| ~ spl4_4
| ~ spl4_6
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f88,f56]) ).
thf(f90,plain,
( ~ spl4_4
| ~ spl4_6
| spl4_7 ),
inference(avatar_contradiction_clause,[],[f89]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f34]) ).
cnf(s2,plain,
( ~ spl4_2
| spl4_3 ),
inference(sat_conversion,[],[f39]) ).
cnf(s3,plain,
( spl4_4
| spl4_2
| spl4_4 ),
inference(sat_conversion,[],[f43]) ).
cnf(s4,plain,
( spl4_2
| spl4_4 ),
inference(rat,[],[s3]) ).
cnf(s5,plain,
( spl4_5
| spl4_6 ),
inference(sat_conversion,[],[f52]) ).
cnf(s6,plain,
( spl4_3
| ~ spl4_7 ),
inference(sat_conversion,[],[f57]) ).
cnf(s7,plain,
( spl4_5
| ~ spl4_7 ),
inference(sat_conversion,[],[f58]) ).
cnf(s8,plain,
( spl4_3
| spl4_6 ),
inference(sat_conversion,[],[f59]) ).
cnf(s9,plain,
( ~ spl4_1
| spl4_6 ),
inference(sat_conversion,[],[f60]) ).
cnf(s11,plain,
( ~ spl4_1
| ~ spl4_7 ),
inference(sat_conversion,[],[f62]) ).
cnf(s12,plain,
( spl4_1
| ~ spl4_2
| ~ spl4_3 ),
inference(sat_conversion,[],[f75]) ).
cnf(s14,plain,
( spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5 ),
inference(sat_conversion,[],[f86]) ).
cnf(s15,plain,
( ~ spl4_4
| ~ spl4_6
| spl4_7 ),
inference(sat_conversion,[],[f90]) ).
cnf(s16,plain,
( spl4_3
| ~ spl4_4 ),
inference(rat,[],[s15,s6,s8]) ).
cnf(s17,plain,
( ~ spl4_3
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s15,s5,s7,s14]) ).
cnf(s18,plain,
( ~ spl4_4
| spl4_1 ),
inference(rat,[],[s17,s16]) ).
cnf(s19,plain,
( ~ spl4_2
| spl4_1 ),
inference(rat,[],[s2,s12]) ).
cnf(s20,plain,
spl4_1,
inference(rat,[],[s19,s4,s18]) ).
cnf(s21,plain,
~ spl4_7,
inference(rat,[],[s11,s20]) ).
cnf(s22,plain,
spl4_6,
inference(rat,[],[s9,s20]) ).
cnf(s23,plain,
~ spl4_2,
inference(rat,[],[s1,s20]) ).
cnf(s24,plain,
~ spl4_4,
inference(rat,[],[s15,s21,s22]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s4,s24,s23]) ).
thf(f91,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV222^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n010.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 15:23:18 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.28 % (2989670)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.28 % (2989677)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=670694559:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.28 % (2989677)Refutation not found, incomplete strategy
% 0.20/0.28 % (2989677)------------------------------
% 0.20/0.28 % (2989677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (2989677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (2989677)CaDiCaL version: 2.1.3
% 0.20/0.28 % (2989677)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.28 % (2989677)Time elapsed: 0.001 s
% 0.20/0.28 % (2989677)Peak memory usage: 12 MB
% 0.20/0.28 % (2989677)Instructions burned: 2 (million)
% 0.20/0.28 % (2989677)------------------------------
% 0.20/0.28 % (2989677)------------------------------
% 0.20/0.28 % (2989675)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1730392285:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.28 % (2989676)lrs+10_16_si=on:nwc=1.5:random_seed=3309623410:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.28 % (2989675) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2989670-2989675"...
% 0.20/0.28 % (2989676) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2989670-2989676"...
% 0.20/0.28 % (2989683)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4018647958:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.28 % (2989675)...printing done.
% 0.20/0.28 % (2989676)...printing done.
% 0.20/0.28 % (2989675)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Theorem for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (2989675)------------------------------
% 0.20/0.29 % (2989675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (2989675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (2989675)CaDiCaL version: 2.1.3
% 0.20/0.29 % (2989675)Termination reason: Refutation
% 0.20/0.29 % (2989675)Time elapsed: 0.005 s
% 0.20/0.29 % (2989675)Peak memory usage: 13 MB
% 0.20/0.29 % (2989675)Instructions burned: 6 (million)
% 0.20/0.29 % (2989670)Success in time 0.052 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------