%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR138^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 07:47:18 AM UTC 2026
% Result : Theorem 0.22s 0.32s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 92 ( 18 unt; 0 typ; 6 def)
% Number of atoms : 492 ( 183 equ; 9 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 399 ( 144 ~; 123 |; 12 &; 114 @)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 68 ( 68 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 20 usr; 14 con; 0-4 aty)
% Number of variables : 258 ( 117 sgn 86 !; 18 ?; 258 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
num: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_6,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_7,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_9,type,
vNOT: $o > $o ).
thf(func_def_12,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_13,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_18,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_19,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_21,type,
db2:
!>[X0: $tType] : X0 ).
thf(f1,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(f4,axiom,
? [X0: $i,X1: $i] :
~ ( likes_THFTYPE_IiioI @ X0 @ X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003) ).
thf(f10,conjecture,
? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ( X0
!= ( ^ [X3: $i,X4: $i] : $true ) )
& ( X1
!= ( ^ [X3: $i,X4: $i] : $true ) )
& ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X1 @ X2 @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(f11,negated_conjecture,
~ ? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ( X0
!= ( ^ [X3: $i,X4: $i] : $true ) )
& ( X1
!= ( ^ [X3: $i,X4: $i] : $true ) )
& ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X1 @ X2 @ lBill_THFTYPE_i ) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
thf(f12,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(rectify,[],[f1]) ).
thf(f13,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(fool_elimination,[],[f12]) ).
thf(f18,plain,
? [X0: $i,X1: $i] :
~ ( likes_THFTYPE_IiioI @ X0 @ X1 ),
inference(rectify,[],[f4]) ).
thf(f19,plain,
? [X0: $i,X1: $i] :
( ( ~ ( likes_THFTYPE_IiioI @ X0 @ X1 ) )
= $true ),
inference(fool_elimination,[],[f18]) ).
thf(f30,plain,
~ ? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ( X0
!= ( ^ [X3: $i,X4: $i] : $true ) )
& ( X1
!= ( ^ [X5: $i,X6: $i] : $true ) )
& ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X1 @ X2 @ lBill_THFTYPE_i ) ),
inference(rectify,[],[f11]) ).
thf(f31,plain,
~ ? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ( $true
= ( X0
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
& ( $true
= ( X1
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
& ( ( X0 @ X2 @ lAnna_THFTYPE_i )
= $true )
& ( ( X1 @ X2 @ lBill_THFTYPE_i )
= $true ) ),
inference(fool_elimination,[],[f30]) ).
thf(f32,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ( $true
!= ( X0
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( $true
!= ( X1
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(ennf_transformation,[],[f31]) ).
thf(f34,plain,
( $true
= ( ~ ( likes_THFTYPE_IiioI @ sK2 @ sK3 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f19]) ).
thf(f35,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(cnf_transformation,[],[f13]) ).
thf(f38,plain,
( $true
= ( ~ ( likes_THFTYPE_IiioI @ sK2 @ sK3 ) ) ),
inference(cnf_transformation,[],[f34]) ).
thf(f44,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( $true
!= ( X0
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( $true
!= ( X1
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(cnf_transformation,[],[f32]) ).
thf(f47,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( $true
= ( X0
= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( $true
!= ( X1
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(not_proxy_clausification,[],[f44]) ).
thf(f48,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 )
| ( $true
!= ( X1
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(equality_proxy_clausification,[],[f47]) ).
thf(f49,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 )
| ( $true
= ( X1
= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(not_proxy_clausification,[],[f48]) ).
thf(f50,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(equality_proxy_clausification,[],[f49]) ).
thf(f51,plain,
( ( likes_THFTYPE_IiioI @ sK2 @ sK3 )
= $false ),
inference(not_proxy_clausification,[],[f38]) ).
thf(f53,plain,
! [X2: $i,X1: $i > $i > $o] :
( ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X2
@ lAnna_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 ) ) )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(primitive_instantiation,[],[f50]) ).
thf(f54,plain,
! [X2: $i,X1: $i > $i > $o] :
( ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X2
@ lAnna_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(primitive_instantiation,[],[f50]) ).
thf(f62,plain,
! [X2: $i,X1: $i > $i > $o] :
( ( $true
!= ( X2 != lAnna_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(beta-eta_normalization,[],[f54]) ).
thf(f63,plain,
! [X2: $i,X1: $i > $i > $o] :
( ( $true
= ( X2 = lAnna_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(not_proxy_clausification,[],[f62]) ).
thf(f64,plain,
! [X2: $i,X1: $i > $i > $o] :
( ( lAnna_THFTYPE_i = X2 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(equality_proxy_clausification,[],[f63]) ).
thf(f65,plain,
! [X2: $i,X1: $i > $i > $o] :
( ( $true
!= ( X2 = lAnna_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= (=) )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(beta-eta_normalization,[],[f53]) ).
thf(f66,plain,
! [X2: $i,X1: $i > $i > $o] :
( ( lAnna_THFTYPE_i != X2 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= (=) )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(equality_proxy_clausification,[],[f65]) ).
thf(f68,definition,
( spl4_1
<=> ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
thf(f70,plain,
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f68]) ).
thf(f72,definition,
( spl4_2
<=> ! [X2: $i,X1: $i > $i > $o] :
( ( lAnna_THFTYPE_i = X2 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
thf(f73,plain,
( ! [X2: $i,X1: $i > $i > $o] :
( ( lAnna_THFTYPE_i = X2 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f72]) ).
thf(f74,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f64,f72,f68]) ).
thf(f76,definition,
( spl4_3
<=> ( ( ^ [Y0: $i,Y1: $i] : $true )
= (=) ) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
thf(f77,plain,
( ( ( ^ [Y0: $i,Y1: $i] : $true )
!= (=) )
| spl4_3 ),
inference(avatar_component_clause,[],[f76]) ).
thf(f78,plain,
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= (=) )
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f76]) ).
thf(f80,definition,
( spl4_4
<=> ! [X2: $i,X1: $i > $i > $o] :
( ( lAnna_THFTYPE_i != X2 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
thf(f81,plain,
( ! [X2: $i,X1: $i > $i > $o] :
( ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
| ( lAnna_THFTYPE_i != X2 ) )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f80]) ).
thf(f82,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f66,f80,f76]) ).
thf(f83,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i,Y1: $i] : $true
@ X1 )
= ( (=) @ X1 ) )
| ~ spl4_3 ),
inference(argument_congruence,[],[f78]) ).
thf(f84,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i] : $true )
= ( (=) @ X1 ) )
| ~ spl4_3 ),
inference(beta-eta_normalization,[],[f83]) ).
thf(f94,plain,
( ! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] : $true
@ X2 )
= ( X1 = X2 ) )
| ~ spl4_3 ),
inference(argument_congruence,[],[f84]) ).
thf(f96,plain,
( ! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] : $true
@ X2 ) )
| ( $true
= ( X1 = X2 ) ) )
| ~ spl4_3 ),
inference(iff_proxy_clausification,[],[f94]) ).
thf(f97,plain,
( ! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] : $true
@ X2 ) )
| ( X1 = X2 ) )
| ~ spl4_3 ),
inference(equality_proxy_clausification,[],[f96]) ).
thf(f98,plain,
( ! [X2: $i,X1: $i] :
( ( $true = $false )
| ( X1 = X2 ) )
| ~ spl4_3 ),
inference(beta-eta_normalization,[],[f97]) ).
thf(f99,plain,
( ! [X2: $i,X1: $i] : ( X1 = X2 )
| ~ spl4_3 ),
inference(trivial_inequality_removal,[],[f98]) ).
thf(f114,definition,
( spl4_6
<=> ! [X2: $i > $i > $o,X1: $i] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= X2 )
| ( $true
!= ( X2 @ X1 @ lBill_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
thf(f115,plain,
( ! [X2: $i > $i > $o,X1: $i] :
( ( $true
!= ( X2 @ X1 @ lBill_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X2 ) )
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f114]) ).
thf(f126,plain,
( ! [X0: $i] :
( $true
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) )
| ~ spl4_3 ),
inference(constrained_superposition,[],[f35,f99]) ).
thf(f139,plain,
( ! [X0: $i,X1: $i] :
( ( likes_THFTYPE_IiioI @ X0 @ X1 )
= $true )
| ~ spl4_3 ),
inference(constrained_superposition,[],[f126,f99]) ).
thf(f242,plain,
( ! [X0: $i] :
( $false
= ( likes_THFTYPE_IiioI @ sK2 @ X0 ) )
| ~ spl4_3 ),
inference(constrained_superposition,[],[f51,f99]) ).
thf(f261,plain,
( ( $true = $false )
| ~ spl4_3 ),
inference(forward_demodulation,[],[f242,f139]) ).
thf(f262,plain,
( $false
| ~ spl4_3 ),
inference(trivial_inequality_removal,[],[f261]) ).
thf(f263,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f262]) ).
thf(f280,plain,
( ! [X1: $i] :
( ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X1
@ lBill_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 ) ) ) )
| ~ spl4_6 ),
inference(primitive_instantiation,[],[f115]) ).
thf(f281,plain,
( ! [X1: $i] :
( ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X1
@ lBill_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) ) )
| ~ spl4_6 ),
inference(primitive_instantiation,[],[f115]) ).
thf(f350,plain,
( ! [X1: $i] :
( ( $true
!= ( X1 != lBill_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) ) )
| ~ spl4_6 ),
inference(beta-eta_normalization,[],[f281]) ).
thf(f351,plain,
( ! [X1: $i] :
( ( $true
= ( X1 = lBill_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) ) )
| ~ spl4_6 ),
inference(not_proxy_clausification,[],[f350]) ).
thf(f352,plain,
( ! [X1: $i] :
( ( lBill_THFTYPE_i = X1 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) ) )
| ~ spl4_6 ),
inference(equality_proxy_clausification,[],[f351]) ).
thf(f353,plain,
( ! [X1: $i] :
( ( $true
!= ( X1 = lBill_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= (=) ) )
| ~ spl4_6 ),
inference(beta-eta_normalization,[],[f280]) ).
thf(f354,plain,
( ! [X1: $i] :
( ( lBill_THFTYPE_i != X1 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= (=) ) )
| ~ spl4_6 ),
inference(equality_proxy_clausification,[],[f353]) ).
thf(f356,definition,
( spl4_8
<=> ! [X1: $i] : ( lBill_THFTYPE_i = X1 ) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
thf(f357,plain,
( ! [X1: $i] : ( lBill_THFTYPE_i = X1 )
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f356]) ).
thf(f358,plain,
( spl4_1
| spl4_8
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f352,f114,f356,f68]) ).
thf(f359,plain,
( ! [X1: $i] : ( lBill_THFTYPE_i != X1 )
| spl4_3
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f354,f77]) ).
thf(f362,plain,
( ! [X2: $i,X1: $i > $i > $o] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) )
| ~ spl4_2
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f81,f73]) ).
thf(f363,plain,
( spl4_6
| ~ spl4_2
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f362,f80,f72,f114]) ).
thf(f443,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i,Y1: $i] : $true
@ X1 )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X1 ) )
| ~ spl4_1 ),
inference(argument_congruence,[],[f70]) ).
thf(f444,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : ( X1 != Y0 ) ) )
| ~ spl4_1 ),
inference(beta-eta_normalization,[],[f443]) ).
thf(f521,plain,
( ! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] : $true
@ X2 )
= ( ^ [Y0: $i] : ( X1 != Y0 )
@ X2 ) )
| ~ spl4_1 ),
inference(argument_congruence,[],[f444]) ).
thf(f523,plain,
( ! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] : $true
@ X2 ) )
| ( $true
= ( ^ [Y0: $i] : ( X1 != Y0 )
@ X2 ) ) )
| ~ spl4_1 ),
inference(iff_proxy_clausification,[],[f521]) ).
thf(f524,plain,
( ! [X2: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( X1 != X2 ) ) )
| ~ spl4_1 ),
inference(beta-eta_normalization,[],[f523]) ).
thf(f525,plain,
( ! [X2: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( X1 = X2 ) ) )
| ~ spl4_1 ),
inference(not_proxy_clausification,[],[f524]) ).
thf(f526,plain,
( ! [X2: $i,X1: $i] :
( ( $true = $false )
| ( X1 != X2 ) )
| ~ spl4_1 ),
inference(equality_proxy_clausification,[],[f525]) ).
thf(f527,plain,
( ! [X2: $i,X1: $i] : ( X1 != X2 )
| ~ spl4_1 ),
inference(trivial_inequality_removal,[],[f526]) ).
thf(f528,plain,
( $false
| ~ spl4_1 ),
inference(flex-flex_simplification,[],[f527]) ).
thf(f529,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f528]) ).
thf(f534,plain,
( $false
| spl4_3
| ~ spl4_6
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f357,f359]) ).
thf(f535,plain,
( spl4_3
| ~ spl4_6
| ~ spl4_8 ),
inference(avatar_contradiction_clause,[],[f534]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f74]) ).
cnf(s2,plain,
( spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f82]) ).
cnf(s8,plain,
~ spl4_3,
inference(sat_conversion,[],[f263]) ).
cnf(s9,plain,
( spl4_1
| ~ spl4_6
| spl4_8 ),
inference(sat_conversion,[],[f358]) ).
cnf(s10,plain,
( ~ spl4_2
| ~ spl4_4
| spl4_6 ),
inference(sat_conversion,[],[f363]) ).
cnf(s11,plain,
~ spl4_1,
inference(sat_conversion,[],[f529]) ).
cnf(s13,plain,
( spl4_3
| ~ spl4_6
| ~ spl4_8 ),
inference(sat_conversion,[],[f535]) ).
cnf(s14,plain,
( ~ spl4_6
| spl4_8 ),
inference(rat,[],[s9,s11]) ).
cnf(s15,plain,
spl4_4,
inference(rat,[],[s2,s8]) ).
cnf(s16,plain,
spl4_2,
inference(rat,[],[s1,s11]) ).
cnf(s17,plain,
spl4_6,
inference(rat,[],[s10,s15,s16]) ).
cnf(s18,plain,
~ spl4_8,
inference(rat,[],[s13,s8,s17]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s14,s18,s17]) ).
thf(f540,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR138^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n011.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 17:56:16 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.24 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
% 0.22/0.32 % (438908)Will run a generic schedule for satisfiability detection.
% 0.22/0.32 % (438914)% WARNING: option uhcvi not known.
% 0.22/0.32 % (438914)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3482772553:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.32 % (438913)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=465900926_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.32 % (438915)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=141309568:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.32 % (438916)dis+10_1_sil=32000:sp=arity:random_seed=386205278:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.32 % (438914)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.22/0.32 % (438914)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.22/0.32 % Exception at run slice level
% 0.22/0.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.32 % (438918)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1276699655:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.32 % (438919)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2887971109:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.32 % (438917)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4195294398:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.32 % (438917)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.22/0.32 % (438924)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1569942909:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.22/0.32 % Exception at run slice level
% 0.22/0.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.32 % (438918) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-438908-438918"...
% 0.22/0.32 % (438929)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1736203240:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.32 % (438918)...printing done.
% 0.22/0.32 % (438918)Refutation found. Thanks to Tanya!
% 0.22/0.32 % SZS status Theorem for theBenchmark
% 0.22/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.32 % (438918)------------------------------
% 0.22/0.32 % (438918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (438918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (438918)CaDiCaL version: 2.1.3
% 0.22/0.32 % (438918)Termination reason: Refutation
% 0.22/0.32 % (438918)Time elapsed: 0.036 s
% 0.22/0.32 % (438918)Peak memory usage: 12 MB
% 0.22/0.32 % (438918)Instructions burned: 43 (million)
% 0.22/0.32 % (438908)Success in time 0.077 s
% 0.22/0.32 % Vampire exiting
%------------------------------------------------------------------------------