%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR138^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 07:47:07 AM UTC 2026
% Result : Theorem 0.23s 0.31s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 91 ( 19 unt; 0 typ; 5 def)
% Number of atoms : 491 ( 177 equ; 6 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 391 ( 141 ~; 121 |; 12 &; 112 @)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 56 ( 56 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 20 usr; 14 con; 0-4 aty)
% Number of variables : 226 ( 97 sgn 78 !; 18 ?; 226 :)
% 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/sandbox/benchmark/theBenchmark.p',ax) ).
thf(f2,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(f4,axiom,
? [X0: $i,X1: $i] :
~ ( likes_THFTYPE_IiioI @ X0 @ X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_003) ).
thf(f10,conjecture,
? [X1: $i > $i > $o,X2: $i,X0: $i > $i > $o] :
( ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( ( ^ [X3: $i,X4: $i] : $true )
!= X1 )
& ( X1 @ X2 @ lBill_THFTYPE_i )
& ( X0
!= ( ^ [X3: $i,X4: $i] : $true ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(f11,negated_conjecture,
~ ? [X1: $i > $i > $o,X2: $i,X0: $i > $i > $o] :
( ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( ( ^ [X3: $i,X4: $i] : $true )
!= X1 )
& ( X1 @ X2 @ lBill_THFTYPE_i )
& ( X0
!= ( ^ [X3: $i,X4: $i] : $true ) ) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
thf(f14,plain,
? [X0: $i,X1: $i] :
~ ( likes_THFTYPE_IiioI @ X0 @ X1 ),
inference(rectify,[],[f4]) ).
thf(f15,plain,
? [X0: $i,X1: $i] :
( ( ~ ( likes_THFTYPE_IiioI @ X0 @ X1 ) )
= $true ),
inference(fool_elimination,[],[f14]) ).
thf(f20,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(rectify,[],[f2]) ).
thf(f21,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(fool_elimination,[],[f20]) ).
thf(f26,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(rectify,[],[f1]) ).
thf(f27,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(fool_elimination,[],[f26]) ).
thf(f28,plain,
~ ? [X0: $i > $i > $o,X1: $i,X2: $i > $i > $o] :
( ( X2 @ X1 @ lAnna_THFTYPE_i )
& ( ( ^ [X3: $i,X4: $i] : $true )
!= X0 )
& ( X0 @ X1 @ lBill_THFTYPE_i )
& ( X2
!= ( ^ [X5: $i,X6: $i] : $true ) ) ),
inference(rectify,[],[f11]) ).
thf(f29,plain,
~ ? [X2: $i > $i > $o,X1: $i,X0: $i > $i > $o] :
( ( $true
= ( ( ^ [Y0: $i,Y1: $i] : $true )
!= X0 ) )
& ( $true
= ( X2 @ X1 @ lAnna_THFTYPE_i ) )
& ( $true
= ( X2
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
& ( $true
= ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
inference(fool_elimination,[],[f28]) ).
thf(f32,plain,
! [X1: $i,X0: $i > $i > $o,X2: $i > $i > $o] :
( ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( $true
!= ( ( ^ [Y0: $i,Y1: $i] : $true )
!= X0 ) )
| ( $true
!= ( X2
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( $true
!= ( X2 @ X1 @ lAnna_THFTYPE_i ) ) ),
inference(ennf_transformation,[],[f29]) ).
thf(f34,plain,
! [X0: $i,X1: $i > $i > $o,X2: $i > $i > $o] :
( ( $true
!= ( X1 @ X0 @ lBill_THFTYPE_i ) )
| ( $true
!= ( ( ^ [Y0: $i,Y1: $i] : $true )
!= X1 ) )
| ( $true
!= ( X2
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( $true
!= ( X2 @ X0 @ lAnna_THFTYPE_i ) ) ),
inference(rectify,[],[f32]) ).
thf(f35,plain,
( $true
= ( ~ ( likes_THFTYPE_IiioI @ sK2 @ sK3 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f15]) ).
thf(f37,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(cnf_transformation,[],[f27]) ).
thf(f39,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(cnf_transformation,[],[f21]) ).
thf(f41,plain,
! [X2: $i > $i > $o,X0: $i,X1: $i > $i > $o] :
( ( $true
!= ( X2 @ X0 @ lAnna_THFTYPE_i ) )
| ( $true
!= ( ( ^ [Y0: $i,Y1: $i] : $true )
!= X1 ) )
| ( $true
!= ( X2
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( $true
!= ( X1 @ X0 @ lBill_THFTYPE_i ) ) ),
inference(cnf_transformation,[],[f34]) ).
thf(f44,plain,
( $true
= ( ~ ( likes_THFTYPE_IiioI @ sK2 @ sK3 ) ) ),
inference(cnf_transformation,[],[f35]) ).
thf(f48,plain,
( ( likes_THFTYPE_IiioI @ sK2 @ sK3 )
= $false ),
inference(not_proxy_clausification,[],[f44]) ).
thf(f50,plain,
! [X2: $i > $i > $o,X0: $i,X1: $i > $i > $o] :
( ( $true
!= ( X2 @ X0 @ lAnna_THFTYPE_i ) )
| ( $true
= ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 ) )
| ( $true
!= ( X1 @ X0 @ lBill_THFTYPE_i ) )
| ( $true
!= ( X2
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) ) ),
inference(not_proxy_clausification,[],[f41]) ).
thf(f51,plain,
! [X2: $i > $i > $o,X0: $i,X1: $i > $i > $o] :
( ( $true
!= ( X2
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( $true
!= ( X1 @ X0 @ lBill_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
| ( $true
!= ( X2 @ X0 @ lAnna_THFTYPE_i ) ) ),
inference(equality_proxy_clausification,[],[f50]) ).
thf(f52,plain,
! [X2: $i > $i > $o,X0: $i,X1: $i > $i > $o] :
( ( $true
!= ( X2 @ X0 @ lAnna_THFTYPE_i ) )
| ( $true
= ( X2
= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( $true
!= ( X1 @ X0 @ lBill_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 ) ),
inference(not_proxy_clausification,[],[f51]) ).
thf(f53,plain,
! [X2: $i > $i > $o,X0: $i,X1: $i > $i > $o] :
( ( $true
!= ( X2 @ X0 @ lAnna_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X2 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
| ( $true
!= ( X1 @ X0 @ lBill_THFTYPE_i ) ) ),
inference(equality_proxy_clausification,[],[f52]) ).
thf(f55,plain,
! [X0: $i,X1: $i > $i > $o] :
( ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X0
@ lAnna_THFTYPE_i ) )
| ( $true
!= ( X1 @ X0 @ lBill_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) ) ),
inference(primitive_instantiation,[],[f53]) ).
thf(f61,plain,
! [X0: $i,X1: $i > $i > $o] :
( ( $true
!= ( X0 != lAnna_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ( $true
!= ( X1 @ X0 @ lBill_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 ) ),
inference(beta-eta_normalization,[],[f55]) ).
thf(f62,plain,
! [X0: $i,X1: $i > $i > $o] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ( $true
= ( X0 = lAnna_THFTYPE_i ) )
| ( $true
!= ( X1 @ X0 @ lBill_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 ) ),
inference(not_proxy_clausification,[],[f61]) ).
thf(f63,plain,
! [X0: $i,X1: $i > $i > $o] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ( lAnna_THFTYPE_i = X0 )
| ( $true
!= ( X1 @ X0 @ lBill_THFTYPE_i ) ) ),
inference(equality_proxy_clausification,[],[f62]) ).
thf(f69,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,[],[f69]) ).
thf(f72,definition,
( spl4_2
<=> ! [X0: $i,X1: $i > $i > $o] :
( ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
| ( $true
!= ( X1 @ X0 @ lBill_THFTYPE_i ) )
| ( lAnna_THFTYPE_i = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
thf(f73,plain,
( ! [X0: $i,X1: $i > $i > $o] :
( ( $true
!= ( X1 @ X0 @ lBill_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X1 )
| ( lAnna_THFTYPE_i = X0 ) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f72]) ).
thf(f74,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f63,f72,f69]) ).
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(f82,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i,Y1: $i] : $true
@ X1 )
= ( (=) @ X1 ) )
| ~ spl4_3 ),
inference(argument_congruence,[],[f77]) ).
thf(f83,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i] : $true )
= ( (=) @ X1 ) )
| ~ spl4_3 ),
inference(beta-eta_normalization,[],[f82]) ).
thf(f84,plain,
( ! [X0: $i] :
( ( ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 ) )
= ( ^ [Y0: $i,Y1: $i] : $true ) )
| ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X0
@ lBill_THFTYPE_i ) )
| ( lAnna_THFTYPE_i = X0 ) )
| ~ spl4_2 ),
inference(primitive_instantiation,[],[f73]) ).
thf(f85,plain,
( ! [X0: $i] :
( ( lAnna_THFTYPE_i = X0 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X0
@ lBill_THFTYPE_i ) ) )
| ~ spl4_2 ),
inference(primitive_instantiation,[],[f73]) ).
thf(f93,plain,
( ! [X0: $i] :
( ( $true
!= ( X0 != lBill_THFTYPE_i ) )
| ( lAnna_THFTYPE_i = X0 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) ) )
| ~ spl4_2 ),
inference(beta-eta_normalization,[],[f85]) ).
thf(f94,plain,
( ! [X0: $i] :
( ( lAnna_THFTYPE_i = X0 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) )
| ( $true
= ( X0 = lBill_THFTYPE_i ) ) )
| ~ spl4_2 ),
inference(not_proxy_clausification,[],[f93]) ).
thf(f95,plain,
( ! [X0: $i] :
( ( lBill_THFTYPE_i = X0 )
| ( lAnna_THFTYPE_i = X0 )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) ) ) )
| ~ spl4_2 ),
inference(equality_proxy_clausification,[],[f94]) ).
thf(f96,plain,
( ! [X0: $i] :
( ( lAnna_THFTYPE_i = X0 )
| ( (=)
= ( ^ [Y0: $i,Y1: $i] : $true ) )
| ( $true
!= ( X0 = lBill_THFTYPE_i ) ) )
| ~ spl4_2 ),
inference(beta-eta_normalization,[],[f84]) ).
thf(f97,plain,
( ! [X0: $i] :
( ( lAnna_THFTYPE_i = X0 )
| ( lBill_THFTYPE_i != X0 )
| ( (=)
= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ~ spl4_2 ),
inference(equality_proxy_clausification,[],[f96]) ).
thf(f99,definition,
( spl4_5
<=> ! [X0: $i] :
( ( lBill_THFTYPE_i = X0 )
| ( lAnna_THFTYPE_i = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
thf(f100,plain,
( ! [X0: $i] :
( ( lAnna_THFTYPE_i = X0 )
| ( lBill_THFTYPE_i = X0 ) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f99]) ).
thf(f101,plain,
( spl4_1
| spl4_5
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f95,f72,f99,f69]) ).
thf(f102,plain,
( ! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] : $true
@ X2 )
= ( X1 = X2 ) )
| ~ spl4_3 ),
inference(argument_congruence,[],[f83]) ).
thf(f104,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( X1 = X2 ) )
| ( ( ^ [Y0: $i] : $true
@ X2 )
= $false ) )
| ~ spl4_3 ),
inference(iff_proxy_clausification,[],[f102]) ).
thf(f105,plain,
( ! [X2: $i,X1: $i] :
( ( X1 = X2 )
| ( ( ^ [Y0: $i] : $true
@ X2 )
= $false ) )
| ~ spl4_3 ),
inference(equality_proxy_clausification,[],[f104]) ).
thf(f106,plain,
( ! [X2: $i,X1: $i] :
( ( $true = $false )
| ( X1 = X2 ) )
| ~ spl4_3 ),
inference(beta-eta_normalization,[],[f105]) ).
thf(f107,plain,
( ! [X2: $i,X1: $i] : ( X1 = X2 )
| ~ spl4_3 ),
inference(trivial_inequality_removal,[],[f106]) ).
thf(f110,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X1 )
= ( ^ [Y0: $i,Y1: $i] : $true
@ X1 ) )
| ~ spl4_1 ),
inference(argument_congruence,[],[f70]) ).
thf(f111,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : ( X1 != Y0 ) ) )
| ~ spl4_1 ),
inference(beta-eta_normalization,[],[f110]) ).
thf(f130,plain,
( ! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] : $true
@ X2 )
= ( ^ [Y0: $i] : ( X1 != Y0 )
@ X2 ) )
| ~ spl4_1 ),
inference(argument_congruence,[],[f111]) ).
thf(f132,plain,
( ! [X2: $i,X1: $i] :
( ( ( ^ [Y0: $i] : $true
@ X2 )
= $false )
| ( $true
= ( ^ [Y0: $i] : ( X1 != Y0 )
@ X2 ) ) )
| ~ spl4_1 ),
inference(iff_proxy_clausification,[],[f130]) ).
thf(f133,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( X1 != X2 ) )
| ( $true = $false ) )
| ~ spl4_1 ),
inference(beta-eta_normalization,[],[f132]) ).
thf(f134,plain,
( ! [X2: $i,X1: $i] :
( ( $true = $false )
| ( ( X1 = X2 )
= $false ) )
| ~ spl4_1 ),
inference(not_proxy_clausification,[],[f133]) ).
thf(f135,plain,
( ! [X2: $i,X1: $i] :
( ( $true = $false )
| ( X1 != X2 ) )
| ~ spl4_1 ),
inference(equality_proxy_clausification,[],[f134]) ).
thf(f136,plain,
( ! [X2: $i,X1: $i] : ( X1 != X2 )
| ~ spl4_1 ),
inference(trivial_inequality_removal,[],[f135]) ).
thf(f137,plain,
( $false
| ~ spl4_1 ),
inference(flex-flex_simplification,[],[f136]) ).
thf(f138,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f137]) ).
thf(f142,plain,
( ! [X0: $i] :
( $true
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) )
| ~ spl4_3 ),
inference(constrained_superposition,[],[f37,f107]) ).
thf(f188,plain,
( ! [X0: $i,X1: $i] :
( ( likes_THFTYPE_IiioI @ X0 @ X1 )
= $true )
| ~ spl4_3 ),
inference(constrained_superposition,[],[f142,f107]) ).
thf(f202,plain,
( ( $true = $false )
| ~ spl4_3 ),
inference(backward_demodulation,[],[f48,f188]) ).
thf(f203,plain,
( $false
| ~ spl4_3 ),
inference(trivial_inequality_removal,[],[f202]) ).
thf(f204,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f203]) ).
thf(f206,definition,
( spl4_11
<=> ! [X0: $i] :
( ( lAnna_THFTYPE_i = X0 )
| ( lBill_THFTYPE_i != X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
thf(f207,plain,
( ! [X0: $i] :
( ( lBill_THFTYPE_i != X0 )
| ( lAnna_THFTYPE_i = X0 ) )
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f206]) ).
thf(f208,plain,
( spl4_3
| spl4_11
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f97,f72,f206,f76]) ).
thf(f209,plain,
( ! [X0: $i] : ( lAnna_THFTYPE_i = X0 )
| ~ spl4_5
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f207,f100]) ).
thf(f225,plain,
( ! [X0: $i,X1: $i] : ( X0 = X1 )
| ~ spl4_5
| ~ spl4_11 ),
inference(constrained_superposition,[],[f209,f209]) ).
thf(f253,plain,
( ! [X0: $i] :
( $true
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0 ) )
| ~ spl4_5
| ~ spl4_11 ),
inference(constrained_superposition,[],[f39,f225]) ).
thf(f258,plain,
( ! [X0: $i] :
( $true
= ( likes_THFTYPE_IiioI @ lAnna_THFTYPE_i @ X0 ) )
| ~ spl4_5
| ~ spl4_11 ),
inference(forward_demodulation,[],[f253,f209]) ).
thf(f300,plain,
( ( ( likes_THFTYPE_IiioI @ lAnna_THFTYPE_i @ sK3 )
= $false )
| ~ spl4_5
| ~ spl4_11 ),
inference(constrained_superposition,[],[f48,f209]) ).
thf(f309,plain,
( ( $true = $false )
| ~ spl4_5
| ~ spl4_11 ),
inference(forward_demodulation,[],[f300,f258]) ).
thf(f310,plain,
( $false
| ~ spl4_5
| ~ spl4_11 ),
inference(trivial_inequality_removal,[],[f309]) ).
thf(f311,plain,
( ~ spl4_5
| ~ spl4_11 ),
inference(avatar_contradiction_clause,[],[f310]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f74]) ).
cnf(s3,plain,
( spl4_1
| ~ spl4_2
| spl4_5 ),
inference(sat_conversion,[],[f101]) ).
cnf(s4,plain,
~ spl4_1,
inference(sat_conversion,[],[f138]) ).
cnf(s10,plain,
~ spl4_3,
inference(sat_conversion,[],[f204]) ).
cnf(s11,plain,
( ~ spl4_2
| spl4_3
| spl4_11 ),
inference(sat_conversion,[],[f208]) ).
cnf(s12,plain,
( ~ spl4_5
| ~ spl4_11 ),
inference(sat_conversion,[],[f311]) ).
cnf(s14,plain,
( ~ spl4_2
| spl4_5 ),
inference(rat,[],[s3,s4]) ).
cnf(s16,plain,
spl4_2,
inference(rat,[],[s1,s4]) ).
cnf(s17,plain,
spl4_11,
inference(rat,[],[s11,s10,s16]) ).
cnf(s18,plain,
spl4_5,
inference(rat,[],[s14,s16]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s12,s17,s18]) ).
thf(f320,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/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n002.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 17:58:52 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.09/0.25 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
% 0.23/0.31 % (1641033)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.23/0.31 % (1641044)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.23/0.31 % (1641044)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
% 0.23/0.31 % (1641042)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=80589436:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.23/0.31 % (1641039)lrs+10_16_si=on:nwc=1.5:random_seed=608488192:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.23/0.31 % (1641038)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=289192298:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.23/0.31 % (1641041)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=2554470317: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)
% 0.23/0.31 % (1641043)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4104998200:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.23/0.31 % (1641044)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=4022140086:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.23/0.31 % (1641039)Instruction limit reached!
% 0.23/0.31 % (1641039)------------------------------
% 0.23/0.31 % (1641039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.31 % (1641039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.31 % (1641039)CaDiCaL version: 2.1.3
% 0.23/0.31 % (1641039)Termination reason: Instruction limit
% 0.23/0.31 % (1641039)Termination phase: Saturation
% 0.23/0.31 % (1641039)Time elapsed: 0.010 s
% 0.23/0.31 % (1641039)Peak memory usage: 12 MB
% 0.23/0.31 % (1641039)Instructions burned: 19 (million)
% 0.23/0.31 % (1641040)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2284413316:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.23/0.31 % (1641043) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1641033-1641043"...
% 0.23/0.31 % (1641044) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1641033-1641044"...
% 0.23/0.31 % (1641042)Instruction limit reached!
% 0.23/0.31 % (1641042)------------------------------
% 0.23/0.31 % (1641042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.31 % (1641042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.31 % (1641042)CaDiCaL version: 2.1.3
% 0.23/0.31 % (1641042)Termination reason: Instruction limit
% 0.23/0.31 % (1641042)Termination phase: Saturation
% 0.23/0.31 % (1641042)Time elapsed: 0.014 s
% 0.23/0.31 % (1641042)Peak memory usage: 12 MB
% 0.23/0.31 % (1641042)Instructions burned: 24 (million)
% 0.23/0.31 % (1641040)Refutation not found, incomplete strategy
% 0.23/0.31 % (1641040)------------------------------
% 0.23/0.31 % (1641040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.31 % (1641040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.31 % (1641040)CaDiCaL version: 2.1.3
% 0.23/0.31 % (1641040)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.31 % (1641040)Time elapsed: 0.003 s
% 0.23/0.31 % (1641040)Peak memory usage: 12 MB
% 0.23/0.31 % (1641040)Instructions burned: 2 (million)
% 0.23/0.31 % (1641040)------------------------------
% 0.23/0.31 % (1641040)------------------------------
% 0.23/0.31 % (1641043)...printing done.
% 0.23/0.31 % (1641044)...printing done.
% 0.23/0.31 % (1641043)Refutation found. Thanks to Tanya!
% 0.23/0.31 % SZS status Theorem for theBenchmark
% 0.23/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.31 % (1641043)------------------------------
% 0.23/0.31 % (1641043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.31 % (1641043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.31 % (1641043)CaDiCaL version: 2.1.3
% 0.23/0.31 % (1641043)Termination reason: Refutation
% 0.23/0.31 % (1641043)Time elapsed: 0.015 s
% 0.23/0.31 % (1641043)Peak memory usage: 13 MB
% 0.23/0.31 % (1641043)Instructions burned: 23 (million)
% 0.23/0.31 % (1641033)Success in time 0.049 s
% 0.23/0.31 % Vampire exiting
%------------------------------------------------------------------------------