%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR137^1 : 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 : n012.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 0.09s 0.16s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 9
% Syntax : Number of formulae : 75 ( 16 unt; 0 typ; 6 def)
% Number of atoms : 425 ( 141 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 542 ( 119 ~; 105 |; 12 &; 273 @)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 90 ( 90 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 19 usr; 13 con; 0-4 aty)
% ( 27 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 228 ( 0 sgn 170 !; 12 ?; 228 :)
% 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,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_13,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_15,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_16,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f1,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(f2,axiom,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(f11,conjecture,
? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ~ ! [X3: $i,X4: $i] : ( X0 @ X3 @ X4 )
& ~ ! [X3: $i,X4: $i] : ( X1 @ X3 @ X4 )
& ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X1 @ X2 @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(f12,negated_conjecture,
~ ? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ~ ! [X3: $i,X4: $i] : ( X0 @ X3 @ X4 )
& ~ ! [X3: $i,X4: $i] : ( X1 @ X3 @ X4 )
& ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X1 @ X2 @ lBill_THFTYPE_i ) ),
inference(negated_conjecture,[status(cth)],[f11]) ).
thf(f13,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(rectify,[],[f1]) ).
thf(f14,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(fool_elimination,[],[f13]) ).
thf(f15,plain,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
inference(rectify,[],[f2]) ).
thf(f16,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(fool_elimination,[],[f15]) ).
thf(f33,plain,
~ ? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ~ ! [X3: $i,X4: $i] : ( X0 @ X3 @ X4 )
& ~ ! [X5: $i,X6: $i] : ( X1 @ X5 @ X6 )
& ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X1 @ X2 @ lBill_THFTYPE_i ) ),
inference(rectify,[],[f12]) ).
thf(f34,plain,
~ ? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) ) ) ) )
& ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X1 @ Y1 @ Y0 ) ) ) ) )
& ( ( X0 @ X2 @ lAnna_THFTYPE_i )
= $true )
& ( ( X1 @ X2 @ lBill_THFTYPE_i )
= $true ) ),
inference(fool_elimination,[],[f33]) ).
thf(f35,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) ) ) ) )
| ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X1 @ Y1 @ Y0 ) ) ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(ennf_transformation,[],[f34]) ).
thf(f36,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(cnf_transformation,[],[f14]) ).
thf(f37,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(cnf_transformation,[],[f16]) ).
thf(f46,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) ) ) ) )
| ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X1 @ Y1 @ Y0 ) ) ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(cnf_transformation,[],[f35]) ).
thf(f49,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) ) ) )
| ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X1 @ Y1 @ Y0 ) ) ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(not_proxy_clausification,[],[f46]) ).
thf(f50,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) )
@ X3 ) )
| ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X1 @ Y1 @ Y0 ) ) ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(pi_proxy_clausification,[],[f49]) ).
thf(f51,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) )
@ X3 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X1 @ Y1 @ Y0 ) ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(not_proxy_clausification,[],[f50]) ).
thf(f52,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o,X4: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) )
@ X3 ) )
| ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X1 @ Y1 @ Y0 ) )
@ X4 ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(pi_proxy_clausification,[],[f51]) ).
thf(f53,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o,X4: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( X0 @ Y0 @ X3 ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( X1 @ Y0 @ X4 ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(beta-eta_normalization,[],[f52]) ).
thf(f54,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o,X4: $i,X5: $i] :
( ( $true
= ( ^ [Y0: $i] : ( X0 @ Y0 @ X3 )
@ X5 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( X1 @ Y0 @ X4 ) ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(pi_proxy_clausification,[],[f53]) ).
thf(f55,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o,X6: $i,X4: $i,X5: $i] :
( ( $true
= ( ^ [Y0: $i] : ( X0 @ Y0 @ X3 )
@ X5 ) )
| ( $true
= ( ^ [Y0: $i] : ( X1 @ Y0 @ X4 )
@ X6 ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(pi_proxy_clausification,[],[f54]) ).
thf(f56,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o,X6: $i,X4: $i,X5: $i] :
( ( ( X1 @ X2 @ lBill_THFTYPE_i )
!= $true )
| ( $true
= ( X1 @ X6 @ X4 ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( $true
= ( X0 @ X5 @ X3 ) ) ),
inference(beta-eta_normalization,[],[f55]) ).
thf(f59,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
= $false ),
inference(not_proxy_clausification,[],[f37]) ).
thf(f60,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X6: $i,X4: $i,X5: $i] :
( ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X2
@ lBill_THFTYPE_i ) )
| ( $true
= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X6
@ X4 ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( $true
= ( X0 @ X5 @ X3 ) ) ),
inference(primitive_instantiation,[],[f56]) ).
thf(f61,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X6: $i,X4: $i,X5: $i] :
( ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X2
@ lBill_THFTYPE_i ) )
| ( $true
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X6
@ X4 ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( $true
= ( X0 @ X5 @ X3 ) ) ),
inference(primitive_instantiation,[],[f56]) ).
thf(f72,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X6: $i,X4: $i,X5: $i] :
( ( $true
!= ( X2 != lBill_THFTYPE_i ) )
| ( $true
= ( X6 != X4 ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( $true
= ( X0 @ X5 @ X3 ) ) ),
inference(beta-eta_normalization,[],[f61]) ).
thf(f73,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X6: $i,X4: $i,X5: $i] :
( ( $true
= ( X2 = lBill_THFTYPE_i ) )
| ( $true
= ( X6 != X4 ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( $true
= ( X0 @ X5 @ X3 ) ) ),
inference(not_proxy_clausification,[],[f72]) ).
thf(f74,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X6: $i,X4: $i,X5: $i] :
( ( lBill_THFTYPE_i = X2 )
| ( $true
= ( X6 != X4 ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( $true
= ( X0 @ X5 @ X3 ) ) ),
inference(equality_proxy_clausification,[],[f73]) ).
thf(f75,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X6: $i,X4: $i,X5: $i] :
( ( lBill_THFTYPE_i = X2 )
| ( $false
= ( X6 = X4 ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( $true
= ( X0 @ X5 @ X3 ) ) ),
inference(not_proxy_clausification,[],[f74]) ).
thf(f76,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X6: $i,X4: $i,X5: $i] :
( ( lBill_THFTYPE_i = X2 )
| ( X4 != X6 )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( $true
= ( X0 @ X5 @ X3 ) ) ),
inference(equality_proxy_clausification,[],[f75]) ).
thf(f77,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X6: $i,X4: $i,X5: $i] :
( ( $true
!= ( X2 = lBill_THFTYPE_i ) )
| ( $true
= ( X6 = X4 ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( $true
= ( X0 @ X5 @ X3 ) ) ),
inference(beta-eta_normalization,[],[f60]) ).
thf(f78,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X6: $i,X4: $i,X5: $i] :
( ( lBill_THFTYPE_i != X2 )
| ( $true
= ( X6 = X4 ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( $true
= ( X0 @ X5 @ X3 ) ) ),
inference(equality_proxy_clausification,[],[f77]) ).
thf(f79,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X6: $i,X4: $i,X5: $i] :
( ( lBill_THFTYPE_i != X2 )
| ( X4 = X6 )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( $true
= ( X0 @ X5 @ X3 ) ) ),
inference(equality_proxy_clausification,[],[f78]) ).
thf(f81,definition,
( spl0_1
<=> ! [X6: $i,X4: $i] : ( X4 != X6 ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f82,plain,
( ! [X6: $i,X4: $i] : ( X4 != X6 )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f81]) ).
thf(f84,definition,
( spl0_2
<=> ! [X3: $i,X0: $i > $i > $o,X5: $i,X2: $i] :
( ( lBill_THFTYPE_i = X2 )
| ( $true
= ( X0 @ X5 @ X3 ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f85,plain,
( ! [X2: $i,X3: $i,X0: $i > $i > $o,X5: $i] :
( ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( $true
= ( X0 @ X5 @ X3 ) )
| ( lBill_THFTYPE_i = X2 ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f84]) ).
thf(f86,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f76,f84,f81]) ).
thf(f88,definition,
( spl0_3
<=> ! [X6: $i,X4: $i] : ( X4 = X6 ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f89,plain,
( ! [X6: $i,X4: $i] : ( X4 = X6 )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f88]) ).
thf(f91,definition,
( spl0_4
<=> ! [X3: $i,X0: $i > $i > $o,X5: $i,X2: $i] :
( ( lBill_THFTYPE_i != X2 )
| ( $true
= ( X0 @ X5 @ X3 ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f92,plain,
( ! [X2: $i,X3: $i,X0: $i > $i > $o,X5: $i] :
( ( lBill_THFTYPE_i != X2 )
| ( $true
= ( X0 @ X5 @ X3 ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f91]) ).
thf(f93,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f79,f91,f88]) ).
thf(f107,plain,
( ! [X0: $i] :
( $true
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f36,f89]) ).
thf(f124,definition,
( spl0_5
<=> ! [X5: $i,X4: $i > $i > $o,X6: $i,X1: $i] :
( ( $true
!= ( X4 @ X1 @ lAnna_THFTYPE_i ) )
| ( $true
= ( X4 @ X5 @ X6 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f125,plain,
( ! [X1: $i,X6: $i,X4: $i > $i > $o,X5: $i] :
( ( $true
!= ( X4 @ X1 @ lAnna_THFTYPE_i ) )
| ( $true
= ( X4 @ X5 @ X6 ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f124]) ).
thf(f303,plain,
( ( $true = $false )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f59,f107]) ).
thf(f311,plain,
( $false
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f303]) ).
thf(f312,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f311]) ).
thf(f314,plain,
( ! [X1: $i,X6: $i,X5: $i] :
( ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X1
@ lAnna_THFTYPE_i ) )
| ( $true
= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X5
@ X6 ) ) )
| ~ spl0_5 ),
inference(primitive_instantiation,[],[f125]) ).
thf(f397,plain,
( ! [X1: $i,X6: $i,X5: $i] :
( ( $true
!= ( X1 = lAnna_THFTYPE_i ) )
| ( $true
= ( X5 = X6 ) ) )
| ~ spl0_5 ),
inference(beta-eta_normalization,[],[f314]) ).
thf(f398,plain,
( ! [X1: $i,X6: $i,X5: $i] :
( ( lAnna_THFTYPE_i != X1 )
| ( $true
= ( X5 = X6 ) ) )
| ~ spl0_5 ),
inference(equality_proxy_clausification,[],[f397]) ).
thf(f399,plain,
( ! [X1: $i,X6: $i,X5: $i] :
( ( lAnna_THFTYPE_i != X1 )
| ( X5 = X6 ) )
| ~ spl0_5 ),
inference(equality_proxy_clausification,[],[f398]) ).
thf(f405,definition,
( spl0_14
<=> ! [X1: $i] : ( lAnna_THFTYPE_i != X1 ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f406,plain,
( ! [X1: $i] : ( lAnna_THFTYPE_i != X1 )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f405]) ).
thf(f407,plain,
( spl0_3
| spl0_14
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f399,f124,f405,f88]) ).
thf(f408,plain,
( $false
| ~ spl0_1 ),
inference(flex-flex_simplification,[],[f82]) ).
thf(f409,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f408]) ).
thf(f448,plain,
( $false
| ~ spl0_14 ),
inference(equality_resolution,[],[f406]) ).
thf(f449,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f448]) ).
thf(f538,plain,
( ! [X2: $i,X3: $i,X0: $i > $i > $o,X5: $i] :
( ( $true
= ( X0 @ X5 @ X3 ) )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true ) )
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f92,f85]) ).
thf(f539,plain,
( spl0_5
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f538,f91,f84,f124]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f86]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f93]) ).
cnf(s24,plain,
~ spl0_3,
inference(sat_conversion,[],[f312]) ).
cnf(s26,plain,
( spl0_3
| ~ spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f407]) ).
cnf(s27,plain,
~ spl0_1,
inference(sat_conversion,[],[f409]) ).
cnf(s29,plain,
~ spl0_14,
inference(sat_conversion,[],[f449]) ).
cnf(s32,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f539]) ).
cnf(s33,plain,
( spl0_3
| ~ spl0_5 ),
inference(rat,[],[s26,s29]) ).
cnf(s36,plain,
~ spl0_5,
inference(rat,[],[s33,s24]) ).
cnf(s37,plain,
spl0_4,
inference(rat,[],[s2,s24]) ).
cnf(s38,plain,
~ spl0_2,
inference(rat,[],[s32,s36,s37]) ).
cnf(s39,plain,
$false,
inference(rat,[],[s1,s38,s27]) ).
thf(f540,plain,
$false,
inference(avatar_sat_refutation,[],[s39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR137^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 17:55:48 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.12 Running first-order model finding
% 0.09/0.12 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
% 0.09/0.16 % (462382)Will run a generic schedule for satisfiability detection.
% 0.09/0.16 % (462388)% WARNING: option uhcvi not known.
% 0.09/0.16 % (462391)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2944682705:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.16 % (462390)dis+10_1_sil=32000:sp=arity:random_seed=3532240970:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.16 % (462387)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2608918743_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.16 % (462393)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1289686880:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.16 % (462388)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3278352606:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.16 % (462389)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=752111765:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.16 % (462392)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1660741349:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.16 % (462391)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.16 % (462388)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.16 % (462388)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.09/0.16 % Exception at run slice level
% 0.09/0.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.09/0.16 % (462388) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-462382-462388"...
% 0.09/0.16 % (462392) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-462382-462392"...
% 0.09/0.16 % (462390) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-462382-462390"...
% 0.09/0.16 % (462388)...printing done.
% 0.09/0.16 % (462392)...printing done.
% 0.09/0.16 % (462401)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2683998818:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.09/0.16 % (462388)Refutation found. Thanks to Tanya!
% 0.09/0.16 % SZS status Theorem for theBenchmark
% 0.09/0.16 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.16 % (462388)------------------------------
% 0.09/0.16 % (462388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.16 % (462388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.16 % (462388)CaDiCaL version: 2.1.3
% 0.09/0.16 % (462388)Termination reason: Refutation
% 0.09/0.16 % (462388)Time elapsed: 0.010 s
% 0.09/0.16 % (462388)Peak memory usage: 12 MB
% 0.09/0.16 % (462388)Instructions burned: 32 (million)
% 0.09/0.16 % (462382)Success in time 0.037 s
% 0.09/0.16 % Vampire exiting
%------------------------------------------------------------------------------