%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV116^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 08:39:01 AM UTC 2026
% Result : Theorem 0.26s 0.36s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 10
% Syntax : Number of formulae : 95 ( 33 unt; 0 typ; 8 def)
% Number of atoms : 645 ( 105 equ; 0 cnn)
% Maximal formula atoms : 11 ( 6 avg)
% Number of connectives : 582 ( 52 ~; 79 |; 40 &; 356 @)
% ( 8 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 125 ( 125 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 27 usr; 13 con; 0-4 aty)
% ( 15 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 68 ( 0 sgn 17 !; 0 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cS: ( $i > $i > $o ) > $o ).
thf(func_def_3,type,
cSTRANGE_HO_ABBR: ( ( $i > $i > $o ) > $o ) > $i > $i > $o ).
thf(func_def_5,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_6,type,
vIMP: $o > $o > $o ).
thf(func_def_7,type,
vAND: $o > $o > $o ).
thf(func_def_8,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db2:
!>[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_15,type,
vNOT: $o > $o ).
thf(func_def_16,type,
sK0: $i > $i > $o ).
thf(func_def_17,type,
sK1: $i > $i > $o ).
thf(func_def_18,type,
sK2: $i > $i > $o ).
thf(func_def_20,type,
sK4: $i > $i > $o ).
thf(func_def_21,type,
sK5: $i > $i > $o ).
thf(f1,axiom,
( cSTRANGE_HO_ABBR
= ( ^ [X0: ( $i > $i > $o ) > $o,X1: $i,X2: $i] :
! [X3: $i > $i > $o] :
( ( ( X3 @ X1 @ X2 )
& ( X0 @ X3 ) )
=> ( X3 @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSTRANGE_HO_ABBR_def) ).
thf(f2,conjecture,
( ( ( cSTRANGE_HO_ABBR @ cS @ x @ y )
& ( cS @ ( cSTRANGE_HO_ABBR @ cS ) ) )
=> ( cSTRANGE_HO_ABBR @ cS @ y @ x ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSTRANGE_HO_EXAMPLE) ).
thf(f3,negated_conjecture,
~ ( ( ( cSTRANGE_HO_ABBR @ cS @ x @ y )
& ( cS @ ( cSTRANGE_HO_ABBR @ cS ) ) )
=> ( cSTRANGE_HO_ABBR @ cS @ y @ x ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
thf(f4,plain,
( cSTRANGE_HO_ABBR
= ( ^ [X0: ( $i > $i > $o ) > $o,X1: $i,X2: $i] :
! [X3: $i > $i > $o] :
( ( ( X3 @ X1 @ X2 )
& ( X0 @ X3 ) )
=> ( X3 @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f5,plain,
( cSTRANGE_HO_ABBR
= ( ^ [Y0: ( $i > $i > $o ) > $o,Y1: $i,Y2: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y3: $i > $i > $o] :
( ( ( Y0 @ Y3 )
& ( Y3 @ Y1 @ Y2 ) )
=> ( Y3 @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f6,plain,
~ ( ( ( cSTRANGE_HO_ABBR @ cS @ x @ y )
& ( cS @ ( cSTRANGE_HO_ABBR @ cS ) ) )
=> ( cSTRANGE_HO_ABBR @ cS @ y @ x ) ),
inference(rectify,[],[f3]) ).
thf(f7,plain,
~ ( ( ( ( cSTRANGE_HO_ABBR @ cS @ x @ y )
= $true )
& ( ( cS @ ( cSTRANGE_HO_ABBR @ cS ) )
= $true ) )
=> ( ( cSTRANGE_HO_ABBR @ cS @ y @ x )
= $true ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
( ( ( cSTRANGE_HO_ABBR @ cS @ y @ x )
!= $true )
& ( ( cSTRANGE_HO_ABBR @ cS @ x @ y )
= $true )
& ( ( cS @ ( cSTRANGE_HO_ABBR @ cS ) )
= $true ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f9,plain,
( ( ( cSTRANGE_HO_ABBR @ cS @ y @ x )
!= $true )
& ( ( cSTRANGE_HO_ABBR @ cS @ x @ y )
= $true )
& ( ( cS @ ( cSTRANGE_HO_ABBR @ cS ) )
= $true ) ),
inference(flattening,[],[f8]) ).
thf(f10,plain,
( cSTRANGE_HO_ABBR
= ( ^ [Y0: ( $i > $i > $o ) > $o,Y1: $i,Y2: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y3: $i > $i > $o] :
( ( ( Y0 @ Y3 )
& ( Y3 @ Y1 @ Y2 ) )
=> ( Y3 @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f11,plain,
( ( cS @ ( cSTRANGE_HO_ABBR @ cS ) )
= $true ),
inference(cnf_transformation,[],[f9]) ).
thf(f12,plain,
( ( cSTRANGE_HO_ABBR @ cS @ x @ y )
= $true ),
inference(cnf_transformation,[],[f9]) ).
thf(f13,plain,
( ( cSTRANGE_HO_ABBR @ cS @ y @ x )
!= $true ),
inference(cnf_transformation,[],[f9]) ).
thf(f16,plain,
( $true
!= ( ^ [Y0: ( $i > $i > $o ) > $o,Y1: $i,Y2: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y3: $i > $i > $o] :
( ( ( Y0 @ Y3 )
& ( Y3 @ Y1 @ Y2 ) )
=> ( Y3 @ Y2 @ Y1 ) ) )
@ cS
@ y
@ x ) ),
inference(definition_unfolding,[],[f13,f10]) ).
thf(f17,plain,
( $true
= ( ^ [Y0: ( $i > $i > $o ) > $o,Y1: $i,Y2: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y3: $i > $i > $o] :
( ( ( Y0 @ Y3 )
& ( Y3 @ Y1 @ Y2 ) )
=> ( Y3 @ Y2 @ Y1 ) ) )
@ cS
@ x
@ y ) ),
inference(definition_unfolding,[],[f12,f10]) ).
thf(f18,plain,
( $true
= ( cS
@ ( ^ [Y0: ( $i > $i > $o ) > $o,Y1: $i,Y2: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y3: $i > $i > $o] :
( ( ( Y0 @ Y3 )
& ( Y3 @ Y1 @ Y2 ) )
=> ( Y3 @ Y2 @ Y1 ) ) )
@ cS ) ) ),
inference(definition_unfolding,[],[f11,f10]) ).
thf(f19,plain,
( $true
= ( cS
@ ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( cS @ Y2 )
& ( Y2 @ Y0 @ Y1 ) )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f18]) ).
thf(f20,plain,
( $true
= ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( cS @ Y0 )
& ( Y0 @ x @ y ) )
=> ( Y0 @ y @ x ) ) ) ),
inference(beta-eta_normalization,[],[f17]) ).
thf(f21,plain,
! [X1: $i > $i > $o] :
( $true
= ( ^ [Y0: $i > $i > $o] :
( ( ( cS @ Y0 )
& ( Y0 @ x @ y ) )
=> ( Y0 @ y @ x ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f20]) ).
thf(f22,plain,
! [X1: $i > $i > $o] :
( $true
= ( ( ( cS @ X1 )
& ( X1 @ x @ y ) )
=> ( X1 @ y @ x ) ) ),
inference(beta-eta_normalization,[],[f21]) ).
thf(f23,plain,
! [X1: $i > $i > $o] :
( ( $false
= ( ( cS @ X1 )
& ( X1 @ x @ y ) ) )
| ( $true
= ( X1 @ y @ x ) ) ),
inference(imp_proxy_clausification,[],[f22]) ).
thf(f24,plain,
! [X1: $i > $i > $o] :
( ( $false
= ( cS @ X1 ) )
| ( $true
= ( X1 @ y @ x ) )
| ( $false
= ( X1 @ x @ y ) ) ),
inference(and_proxy_clausification,[],[f23]) ).
thf(f25,plain,
( $true
!= ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( cS @ Y0 )
& ( Y0 @ y @ x ) )
=> ( Y0 @ x @ y ) ) ) ),
inference(beta-eta_normalization,[],[f16]) ).
thf(f26,plain,
( $false
= ( ^ [Y0: $i > $i > $o] :
( ( ( cS @ Y0 )
& ( Y0 @ y @ x ) )
=> ( Y0 @ x @ y ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f25]) ).
thf(f27,plain,
( $false
= ( ( ( cS @ sK0 )
& ( sK0 @ y @ x ) )
=> ( sK0 @ x @ y ) ) ),
inference(beta-eta_normalization,[],[f26]) ).
thf(f28,plain,
( $false
= ( sK0 @ x @ y ) ),
inference(imp_proxy_clausification,[],[f27]) ).
thf(f29,plain,
( $true
= ( ( cS @ sK0 )
& ( sK0 @ y @ x ) ) ),
inference(imp_proxy_clausification,[],[f27]) ).
thf(f30,plain,
( $true
= ( sK0 @ y @ x ) ),
inference(and_proxy_clausification,[],[f29]) ).
thf(f31,plain,
( $true
= ( cS @ sK0 ) ),
inference(and_proxy_clausification,[],[f29]) ).
thf(f58,plain,
( ( $true = $false )
| ( $true
= ( ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( cS @ Y2 )
& ( Y2 @ Y0 @ Y1 ) )
=> ( Y2 @ Y1 @ Y0 ) ) )
@ y
@ x ) )
| ( $false
= ( ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( cS @ Y2 )
& ( Y2 @ Y0 @ Y1 ) )
=> ( Y2 @ Y1 @ Y0 ) ) )
@ x
@ y ) ) ),
inference(constrained_superposition,[],[f24,f19]) ).
thf(f59,plain,
( ( $true
= ( ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( cS @ Y2 )
& ( Y2 @ Y0 @ Y1 ) )
=> ( Y2 @ Y1 @ Y0 ) ) )
@ y
@ x ) )
| ( $false
= ( ^ [Y0: $i,Y1: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( cS @ Y2 )
& ( Y2 @ Y0 @ Y1 ) )
=> ( Y2 @ Y1 @ Y0 ) ) )
@ x
@ y ) ) ),
inference(trivial_inequality_removal,[],[f58]) ).
thf(f60,plain,
( ( $true
= ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( cS @ Y0 )
& ( Y0 @ y @ x ) )
=> ( Y0 @ x @ y ) ) ) )
| ( $false
= ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( cS @ Y0 )
& ( Y0 @ x @ y ) )
=> ( Y0 @ y @ x ) ) ) ) ),
inference(beta-eta_normalization,[],[f59]) ).
thf(f61,plain,
! [X1: $i > $i > $o] :
( ( $true
= ( ^ [Y0: $i > $i > $o] :
( ( ( cS @ Y0 )
& ( Y0 @ y @ x ) )
=> ( Y0 @ x @ y ) )
@ X1 ) )
| ( $false
= ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( cS @ Y0 )
& ( Y0 @ x @ y ) )
=> ( Y0 @ y @ x ) ) ) ) ),
inference(pi_proxy_clausification,[],[f60]) ).
thf(f62,plain,
! [X1: $i > $i > $o] :
( ( $true
= ( ^ [Y0: $i > $i > $o] :
( ( ( cS @ Y0 )
& ( Y0 @ y @ x ) )
=> ( Y0 @ x @ y ) )
@ X1 ) )
| ( $false
= ( ^ [Y0: $i > $i > $o] :
( ( ( cS @ Y0 )
& ( Y0 @ x @ y ) )
=> ( Y0 @ y @ x ) )
@ sK1 ) ) ),
inference(sigma_proxy_clausification,[],[f61]) ).
thf(f63,plain,
! [X1: $i > $i > $o] :
( ( $true
= ( ( ( cS @ X1 )
& ( X1 @ y @ x ) )
=> ( X1 @ x @ y ) ) )
| ( $false
= ( ( ( cS @ sK1 )
& ( sK1 @ x @ y ) )
=> ( sK1 @ y @ x ) ) ) ),
inference(beta-eta_normalization,[],[f62]) ).
thf(f64,plain,
! [X1: $i > $i > $o] :
( ( $false
= ( ( cS @ X1 )
& ( X1 @ y @ x ) ) )
| ( $false
= ( ( ( cS @ sK1 )
& ( sK1 @ x @ y ) )
=> ( sK1 @ y @ x ) ) )
| ( $true
= ( X1 @ x @ y ) ) ),
inference(imp_proxy_clausification,[],[f63]) ).
thf(f65,plain,
! [X1: $i > $i > $o] :
( ( $false
= ( X1 @ y @ x ) )
| ( $false
= ( ( ( cS @ sK1 )
& ( sK1 @ x @ y ) )
=> ( sK1 @ y @ x ) ) )
| ( $true
= ( X1 @ x @ y ) )
| ( $false
= ( cS @ X1 ) ) ),
inference(and_proxy_clausification,[],[f64]) ).
thf(f66,plain,
! [X1: $i > $i > $o] :
( ( $false
= ( X1 @ y @ x ) )
| ( $false
= ( sK1 @ y @ x ) )
| ( $true
= ( X1 @ x @ y ) )
| ( $false
= ( cS @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f65]) ).
thf(f67,plain,
! [X1: $i > $i > $o] :
( ( $false
= ( X1 @ y @ x ) )
| ( $true
= ( ( cS @ sK1 )
& ( sK1 @ x @ y ) ) )
| ( $true
= ( X1 @ x @ y ) )
| ( $false
= ( cS @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f65]) ).
thf(f68,plain,
! [X1: $i > $i > $o] :
( ( $false
= ( X1 @ y @ x ) )
| ( $true
= ( sK1 @ x @ y ) )
| ( $true
= ( X1 @ x @ y ) )
| ( $false
= ( cS @ X1 ) ) ),
inference(and_proxy_clausification,[],[f67]) ).
thf(f69,plain,
! [X1: $i > $i > $o] :
( ( $false
= ( X1 @ y @ x ) )
| ( $true
= ( cS @ sK1 ) )
| ( $true
= ( X1 @ x @ y ) )
| ( $false
= ( cS @ X1 ) ) ),
inference(and_proxy_clausification,[],[f67]) ).
thf(f82,definition,
( spl3_1
<=> ( $true
= ( cS @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
thf(f84,plain,
( ( $true
= ( cS @ sK1 ) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f82]) ).
thf(f86,definition,
( spl3_2
<=> ! [X1: $i > $i > $o] :
( ( $false
= ( X1 @ y @ x ) )
| ( $false
= ( cS @ X1 ) )
| ( $true
= ( X1 @ x @ y ) ) ) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
thf(f87,plain,
( ! [X1: $i > $i > $o] :
( ( $false
= ( cS @ X1 ) )
| ( $false
= ( X1 @ y @ x ) )
| ( $true
= ( X1 @ x @ y ) ) )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f86]) ).
thf(f88,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f69,f86,f82]) ).
thf(f90,definition,
( spl3_3
<=> ( $true
= ( sK1 @ x @ y ) ) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
thf(f92,plain,
( ( $true
= ( sK1 @ x @ y ) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f90]) ).
thf(f93,plain,
( spl3_3
| spl3_2 ),
inference(avatar_split_clause,[],[f68,f86,f90]) ).
thf(f95,definition,
( spl3_4
<=> ( $false
= ( sK1 @ y @ x ) ) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
thf(f97,plain,
( ( $false
= ( sK1 @ y @ x ) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f95]) ).
thf(f98,plain,
( spl3_4
| spl3_2 ),
inference(avatar_split_clause,[],[f66,f86,f95]) ).
thf(f139,plain,
( ( $true = $false )
| ( $false
= ( sK0 @ y @ x ) )
| ( $true
= ( sK0 @ x @ y ) )
| ~ spl3_2 ),
inference(constrained_superposition,[],[f87,f31]) ).
thf(f172,plain,
( ( $false
= ( sK0 @ y @ x ) )
| ( $true
= ( sK0 @ x @ y ) )
| ~ spl3_2 ),
inference(trivial_inequality_removal,[],[f139]) ).
thf(f189,definition,
( spl3_8
<=> ( $true
= ( sK0 @ x @ y ) ) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
thf(f191,plain,
( ( $true
= ( sK0 @ x @ y ) )
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f189]) ).
thf(f193,definition,
( spl3_9
<=> ( $false
= ( sK0 @ y @ x ) ) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
thf(f195,plain,
( ( $false
= ( sK0 @ y @ x ) )
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f193]) ).
thf(f197,plain,
( spl3_8
| spl3_9
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f172,f86,f193,f189]) ).
thf(f198,plain,
( ( $true = $false )
| ~ spl3_8 ),
inference(constrained_superposition,[],[f191,f28]) ).
thf(f202,plain,
( $false
| ~ spl3_8 ),
inference(trivial_inequality_removal,[],[f198]) ).
thf(f203,plain,
~ spl3_8,
inference(avatar_contradiction_clause,[],[f202]) ).
thf(f207,plain,
( ( $true = $false )
| ~ spl3_9 ),
inference(constrained_superposition,[],[f195,f30]) ).
thf(f213,plain,
( $false
| ~ spl3_9 ),
inference(trivial_inequality_removal,[],[f207]) ).
thf(f214,plain,
~ spl3_9,
inference(avatar_contradiction_clause,[],[f213]) ).
thf(f215,plain,
( ( $true = $false )
| ( $true
= ( sK1 @ y @ x ) )
| ( $false
= ( sK1 @ x @ y ) )
| ~ spl3_1 ),
inference(constrained_superposition,[],[f84,f24]) ).
thf(f218,plain,
( ( $true
= ( sK1 @ y @ x ) )
| ( $false
= ( sK1 @ x @ y ) )
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f215]) ).
thf(f220,definition,
( spl3_10
<=> ( $false
= ( sK1 @ x @ y ) ) ),
introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition]) ).
thf(f222,plain,
( ( $false
= ( sK1 @ x @ y ) )
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f220]) ).
thf(f224,definition,
( spl3_11
<=> ( $true
= ( sK1 @ y @ x ) ) ),
introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition]) ).
thf(f226,plain,
( ( $true
= ( sK1 @ y @ x ) )
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f224]) ).
thf(f228,plain,
( spl3_10
| spl3_11
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f218,f82,f224,f220]) ).
thf(f251,plain,
( ( $true = $false )
| ~ spl3_4
| ~ spl3_11 ),
inference(constrained_superposition,[],[f226,f97]) ).
thf(f255,plain,
( $false
| ~ spl3_4
| ~ spl3_11 ),
inference(trivial_inequality_removal,[],[f251]) ).
thf(f256,plain,
( ~ spl3_4
| ~ spl3_11 ),
inference(avatar_contradiction_clause,[],[f255]) ).
thf(f257,plain,
( ( $true = $false )
| ~ spl3_3
| ~ spl3_10 ),
inference(constrained_superposition,[],[f222,f92]) ).
thf(f263,plain,
( $false
| ~ spl3_3
| ~ spl3_10 ),
inference(trivial_inequality_removal,[],[f257]) ).
thf(f264,plain,
( ~ spl3_3
| ~ spl3_10 ),
inference(avatar_contradiction_clause,[],[f263]) ).
cnf(s1,plain,
( spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f88]) ).
cnf(s2,plain,
( spl3_2
| spl3_3 ),
inference(sat_conversion,[],[f93]) ).
cnf(s3,plain,
( spl3_2
| spl3_4 ),
inference(sat_conversion,[],[f98]) ).
cnf(s8,plain,
( ~ spl3_2
| spl3_8
| spl3_9 ),
inference(sat_conversion,[],[f197]) ).
cnf(s10,plain,
~ spl3_8,
inference(sat_conversion,[],[f203]) ).
cnf(s12,plain,
~ spl3_9,
inference(sat_conversion,[],[f214]) ).
cnf(s14,plain,
( ~ spl3_1
| spl3_10
| spl3_11 ),
inference(sat_conversion,[],[f228]) ).
cnf(s18,plain,
( ~ spl3_4
| ~ spl3_11 ),
inference(sat_conversion,[],[f256]) ).
cnf(s20,plain,
( ~ spl3_3
| ~ spl3_10 ),
inference(sat_conversion,[],[f264]) ).
cnf(s21,plain,
~ spl3_2,
inference(rat,[],[s8,s12,s10]) ).
cnf(s25,plain,
spl3_4,
inference(rat,[],[s3,s21]) ).
cnf(s26,plain,
~ spl3_11,
inference(rat,[],[s18,s25]) ).
cnf(s27,plain,
spl3_3,
inference(rat,[],[s2,s21]) ).
cnf(s28,plain,
~ spl3_10,
inference(rat,[],[s20,s27]) ).
cnf(s29,plain,
~ spl3_1,
inference(rat,[],[s14,s26,s28]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s1,s21,s29]) ).
thf(f265,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEV116^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.26 % Computer : n014.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Tue Sep 29 15:11:15 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.26/0.31 Running first-order model finding
% 0.26/0.31 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.26/0.36 % (2784899)Will run a generic schedule for satisfiability detection.
% 0.26/0.36 % (2784910)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3322944223:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.26/0.36 % (2784905)% WARNING: option uhcvi not known.
% 0.26/0.36 % (2784906)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3702147849:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.26/0.36 % (2784905)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1011781175:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.26/0.36 % (2784907)dis+10_1_sil=32000:sp=arity:random_seed=3205404033:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.26/0.36 % (2784904)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2594358253_3000 on theBenchmark for (3000ds/0Mi)
% 0.26/0.36 % (2784910) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2784899-2784910"...
% 0.26/0.36 % (2784905)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.26/0.36 % (2784909)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1509645199:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.26/0.36 % (2784908)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=734588790:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.26/0.36 % (2784905)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.26/0.36 % Exception at run slice level
% 0.26/0.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.26/0.36 % (2784908)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.26/0.36 % (2784910)...printing done.
% 0.26/0.36 % (2784910)Refutation found. Thanks to Tanya!
% 0.26/0.36 % SZS status Theorem for theBenchmark
% 0.26/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.36 % (2784910)------------------------------
% 0.26/0.36 % (2784910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.36 % (2784910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.36 % (2784910)CaDiCaL version: 2.1.3
% 0.26/0.36 % (2784910)Termination reason: Refutation
% 0.26/0.36 % (2784910)Time elapsed: 0.008 s
% 0.26/0.36 % (2784910)Peak memory usage: 13 MB
% 0.26/0.36 % (2784910)Instructions burned: 14 (million)
% 0.26/0.36 % (2784899)Success in time 0.039 s
% 0.26/0.36 % Vampire exiting
%------------------------------------------------------------------------------