%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR137^1 : 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 : n015.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 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 8
% Syntax : Number of formulae : 70 ( 15 unt; 0 typ; 5 def)
% Number of atoms : 419 ( 138 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 540 ( 119 ~; 104 |; 12 &; 268 @)
% ( 5 <=>; 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 : 86 ( 86 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 18 usr; 12 con; 0-4 aty)
% ( 32 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 213 ( 0 sgn 157 !; 12 ?; 213 :)
% 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,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
db0:
!>[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(f8,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_007) ).
thf(f10,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_009) ).
thf(f11,conjecture,
? [X1: $i > $i > $o,X0: $i > $i > $o,X2: $i] :
( ~ ! [X4: $i,X3: $i] : ( X1 @ X3 @ X4 )
& ~ ! [X4: $i,X3: $i] : ( X0 @ X3 @ X4 )
& ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X1 @ X2 @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(f12,negated_conjecture,
~ ? [X1: $i > $i > $o,X0: $i > $i > $o,X2: $i] :
( ~ ! [X4: $i,X3: $i] : ( X1 @ X3 @ X4 )
& ~ ! [X4: $i,X3: $i] : ( X0 @ X3 @ X4 )
& ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X1 @ X2 @ lBill_THFTYPE_i ) ),
inference(negated_conjecture,[status(cth)],[f11]) ).
thf(f21,plain,
~ ? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ~ ! [X3: $i,X4: $i] : ( X0 @ X4 @ X3 )
& ~ ! [X5: $i,X6: $i] : ( X1 @ X6 @ X5 )
& ( X1 @ X2 @ lAnna_THFTYPE_i )
& ( X0 @ X2 @ lBill_THFTYPE_i ) ),
inference(rectify,[],[f12]) ).
thf(f22,plain,
~ ? [X0: $i > $i > $o,X2: $i,X1: $i > $i > $o] :
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X1 @ Y0 @ Y1 ) ) ) )
= $true )
& ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) )
& ( $true
= ( X0 @ X2 @ lBill_THFTYPE_i ) )
& ( $true
= ( X1 @ X2 @ lAnna_THFTYPE_i ) ) ),
inference(fool_elimination,[],[f21]) ).
thf(f27,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
inference(rectify,[],[f8]) ).
thf(f28,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(fool_elimination,[],[f27]) ).
thf(f33,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(rectify,[],[f10]) ).
thf(f34,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(fool_elimination,[],[f33]) ).
thf(f35,plain,
! [X0: $i > $i > $o,X2: $i,X1: $i > $i > $o] :
( ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) )
| ( $true
!= ( X1 @ X2 @ lAnna_THFTYPE_i ) )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X1 @ Y0 @ Y1 ) ) ) )
!= $true )
| ( $true
!= ( X0 @ X2 @ lBill_THFTYPE_i ) ) ),
inference(ennf_transformation,[],[f22]) ).
thf(f36,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i > $i > $o] :
( ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) )
| ( $true
!= ( X2 @ X1 @ lAnna_THFTYPE_i ) )
| ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X2 @ Y0 @ Y1 ) ) ) ) )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
inference(rectify,[],[f35]) ).
thf(f37,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(cnf_transformation,[],[f28]) ).
thf(f40,plain,
! [X2: $i > $i > $o,X0: $i > $i > $o,X1: $i] :
( ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) )
| ( $true
!= ( X2 @ X1 @ lAnna_THFTYPE_i ) )
| ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X2 @ Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f36]) ).
thf(f42,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(cnf_transformation,[],[f34]) ).
thf(f50,plain,
( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ),
inference(not_proxy_clausification,[],[f42]) ).
thf(f51,plain,
! [X2: $i > $i > $o,X0: $i > $i > $o,X1: $i] :
( ( $true
!= ( X2 @ X1 @ lAnna_THFTYPE_i ) )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X2 @ Y0 @ Y1 ) ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) ),
inference(not_proxy_clausification,[],[f40]) ).
thf(f52,plain,
! [X2: $i > $i > $o,X0: $i > $i > $o,X1: $i] :
( ( $true
!= ( X2 @ X1 @ lAnna_THFTYPE_i ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X2 @ Y0 @ Y1 ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
inference(not_proxy_clausification,[],[f51]) ).
thf(f53,plain,
! [X2: $i > $i > $o,X3: $i,X0: $i > $i > $o,X1: $i] :
( ( $true
!= ( X2 @ X1 @ lAnna_THFTYPE_i ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X2 @ Y0 @ Y1 ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f52]) ).
thf(f54,plain,
! [X2: $i > $i > $o,X3: $i,X0: $i > $i > $o,X1: $i,X4: $i] :
( ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) )
@ X4 ) )
| ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X2 @ Y0 @ Y1 ) )
@ X3 ) )
| ( $true
!= ( X2 @ X1 @ lAnna_THFTYPE_i ) ) ),
inference(pi_proxy_clausification,[],[f53]) ).
thf(f55,plain,
! [X2: $i > $i > $o,X3: $i,X0: $i > $i > $o,X1: $i,X4: $i] :
( ( $true
= ( !! @ $i @ ( X2 @ X3 ) ) )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( $true
= ( !! @ $i @ ( X0 @ X4 ) ) )
| ( $true
!= ( X2 @ X1 @ lAnna_THFTYPE_i ) ) ),
inference(beta-eta_normalization,[],[f54]) ).
thf(f56,plain,
! [X2: $i > $i > $o,X3: $i,X0: $i > $i > $o,X1: $i,X4: $i,X5: $i] :
( ( $true
= ( !! @ $i @ ( X0 @ X4 ) ) )
| ( $true
= ( X2 @ X3 @ X5 ) )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( $true
!= ( X2 @ X1 @ lAnna_THFTYPE_i ) ) ),
inference(pi_proxy_clausification,[],[f55]) ).
thf(f57,plain,
! [X2: $i > $i > $o,X3: $i,X0: $i > $i > $o,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $true
!= ( X2 @ X1 @ lAnna_THFTYPE_i ) )
| ( $true
= ( X0 @ X4 @ X6 ) )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( $true
= ( X2 @ X3 @ X5 ) ) ),
inference(pi_proxy_clausification,[],[f56]) ).
thf(f60,plain,
! [X3: $i,X0: $i > $i > $o,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $true
= ( X0 @ X4 @ X6 ) )
| ( $true
= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X3
@ X5 ) )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X1
@ lAnna_THFTYPE_i ) ) ),
inference(primitive_instantiation,[],[f57]) ).
thf(f61,plain,
! [X3: $i,X0: $i > $i > $o,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( $true
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X3
@ X5 ) )
| ( $true
= ( X0 @ X4 @ X6 ) )
| ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X1
@ lAnna_THFTYPE_i ) ) ),
inference(primitive_instantiation,[],[f57]) ).
thf(f69,plain,
! [X3: $i,X0: $i > $i > $o,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( X1 != lAnna_THFTYPE_i )
!= $true )
| ( $true
= ( X3 != X5 ) )
| ( $true
= ( X0 @ X4 @ X6 ) )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
inference(beta-eta_normalization,[],[f61]) ).
thf(f70,plain,
! [X3: $i,X0: $i > $i > $o,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $true
= ( X3 != X5 ) )
| ( $true
= ( X1 = lAnna_THFTYPE_i ) )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( $true
= ( X0 @ X4 @ X6 ) ) ),
inference(not_proxy_clausification,[],[f69]) ).
thf(f71,plain,
! [X3: $i,X0: $i > $i > $o,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( $true
= ( X0 @ X4 @ X6 ) )
| ( $true
= ( X1 = lAnna_THFTYPE_i ) )
| ( ( X3 = X5 )
= $false ) ),
inference(not_proxy_clausification,[],[f70]) ).
thf(f72,plain,
! [X3: $i,X0: $i > $i > $o,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $true
= ( X0 @ X4 @ X6 ) )
| ( lAnna_THFTYPE_i = X1 )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( ( X3 = X5 )
= $false ) ),
inference(equality_proxy_clausification,[],[f71]) ).
thf(f73,plain,
! [X3: $i,X0: $i > $i > $o,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $true
= ( X0 @ X4 @ X6 ) )
| ( lAnna_THFTYPE_i = X1 )
| ( X3 != X5 )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
inference(equality_proxy_clausification,[],[f72]) ).
thf(f74,plain,
! [X3: $i,X0: $i > $i > $o,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $true
= ( X0 @ X4 @ X6 ) )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( $true
!= ( X1 = lAnna_THFTYPE_i ) )
| ( $true
= ( X3 = X5 ) ) ),
inference(beta-eta_normalization,[],[f60]) ).
thf(f75,plain,
! [X3: $i,X0: $i > $i > $o,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( lAnna_THFTYPE_i != X1 )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( $true
= ( X0 @ X4 @ X6 ) )
| ( $true
= ( X3 = X5 ) ) ),
inference(equality_proxy_clausification,[],[f74]) ).
thf(f76,plain,
! [X3: $i,X0: $i > $i > $o,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( lAnna_THFTYPE_i != X1 )
| ( $true
= ( X0 @ X4 @ X6 ) )
| ( X3 = X5 )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
inference(equality_proxy_clausification,[],[f75]) ).
thf(f81,definition,
( spl0_1
<=> ! [X4: $i,X0: $i > $i > $o,X6: $i,X1: $i] :
( ( $true
= ( X0 @ X4 @ X6 ) )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( lAnna_THFTYPE_i = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f82,plain,
( ! [X0: $i > $i > $o,X1: $i,X6: $i,X4: $i] :
( ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( lAnna_THFTYPE_i = X1 )
| ( $true
= ( X0 @ X4 @ X6 ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f81]) ).
thf(f84,definition,
( spl0_2
<=> ! [X5: $i,X3: $i] : ( X3 != X5 ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f85,plain,
( ! [X3: $i,X5: $i] : ( X3 != X5 )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f84]) ).
thf(f86,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f73,f84,f81]) ).
thf(f88,definition,
( spl0_3
<=> ! [X4: $i,X0: $i > $i > $o,X6: $i,X1: $i] :
( ( lAnna_THFTYPE_i != X1 )
| ( $true
= ( X0 @ X4 @ X6 ) )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f89,plain,
( ! [X0: $i > $i > $o,X1: $i,X6: $i,X4: $i] :
( ( $true
= ( X0 @ X4 @ X6 ) )
| ( lAnna_THFTYPE_i != X1 )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f88]) ).
thf(f91,definition,
( spl0_4
<=> ! [X5: $i,X3: $i] : ( X3 = X5 ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f92,plain,
( ! [X3: $i,X5: $i] : ( X3 = X5 )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f91]) ).
thf(f93,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f76,f91,f88]) ).
thf(f94,plain,
( $false
| ~ spl0_2 ),
inference(flex-flex_simplification,[],[f85]) ).
thf(f95,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f94]) ).
thf(f96,plain,
( ! [X0: $i > $i > $o,X1: $i,X6: $i,X4: $i] :
( ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( $true
= ( X0 @ X4 @ X6 ) ) )
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f82,f89]) ).
thf(f97,plain,
( ! [X1: $i,X6: $i,X4: $i] :
( ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X1
@ lBill_THFTYPE_i ) )
| ( $true
= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X4
@ X6 ) ) )
| ~ spl0_1
| ~ spl0_3 ),
inference(primitive_instantiation,[],[f96]) ).
thf(f113,plain,
( ! [X1: $i,X6: $i,X4: $i] :
( ( $true
= ( X4 = X6 ) )
| ( $true
!= ( X1 = lBill_THFTYPE_i ) ) )
| ~ spl0_1
| ~ spl0_3 ),
inference(beta-eta_normalization,[],[f97]) ).
thf(f114,plain,
( ! [X1: $i,X6: $i,X4: $i] :
( ( $true
!= ( X1 = lBill_THFTYPE_i ) )
| ( X4 = X6 ) )
| ~ spl0_1
| ~ spl0_3 ),
inference(equality_proxy_clausification,[],[f113]) ).
thf(f115,plain,
( ! [X1: $i,X6: $i,X4: $i] :
( ( lBill_THFTYPE_i != X1 )
| ( X4 = X6 ) )
| ~ spl0_1
| ~ spl0_3 ),
inference(equality_proxy_clausification,[],[f114]) ).
thf(f122,definition,
( spl0_6
<=> ! [X1: $i] : ( lBill_THFTYPE_i != X1 ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f123,plain,
( ! [X1: $i] : ( lBill_THFTYPE_i != X1 )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f122]) ).
thf(f124,plain,
( spl0_6
| spl0_4
| ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f115,f88,f81,f91,f122]) ).
thf(f131,plain,
( $false
| ~ spl0_6 ),
inference(equality_resolution,[],[f123]) ).
thf(f136,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f131]) ).
thf(f184,plain,
( ! [X0: $i] :
( $true
= ( parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f37,f92]) ).
thf(f205,plain,
( ( $true = $false )
| ~ spl0_4 ),
inference(backward_demodulation,[],[f50,f184]) ).
thf(f206,plain,
( $false
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f205]) ).
thf(f207,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f206]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f86]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f93]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f95]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f124]) ).
cnf(s9,plain,
~ spl0_6,
inference(sat_conversion,[],[f136]) ).
cnf(s10,plain,
~ spl0_4,
inference(sat_conversion,[],[f207]) ).
cnf(s14,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(rat,[],[s5,s9,s10]) ).
cnf(s15,plain,
spl0_3,
inference(rat,[],[s2,s10]) ).
cnf(s16,plain,
~ spl0_1,
inference(rat,[],[s14,s15]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s1,s3,s16]) ).
thf(f227,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR137^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n015.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Tue Sep 29 17:59:33 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.20 Running higher-order theorem proving
% 0.06/0.22 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
% 0.20/0.27 % (3888398)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.27 % (3888408)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2812442814:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.27 % (3888408)Refutation not found, incomplete strategy
% 0.20/0.27 % (3888408)------------------------------
% 0.20/0.27 % (3888408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (3888408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (3888408)CaDiCaL version: 2.1.3
% 0.20/0.27 % (3888408)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.27 % (3888408)Time elapsed: 0.001 s
% 0.20/0.27 % (3888408)Peak memory usage: 12 MB
% 0.20/0.27 % (3888408)Instructions burned: 2 (million)
% 0.20/0.27 % (3888408)------------------------------
% 0.20/0.27 % (3888408)------------------------------
% 0.20/0.27 % (3888412)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.27 % (3888412)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
% 0.20/0.27 % (3888407)lrs+10_16_si=on:nwc=1.5:random_seed=3999092176:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.27 % (3888405)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=904954216:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.27 % (3888410)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=755726149:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.27 % (3888409)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=954101645: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)
% 0.20/0.27 % (3888411)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4234356261:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.27 % (3888412)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=3148168345:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.27 % (3888418)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3656120004:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.27 % (3888418)Instruction limit reached!
% 0.20/0.27 % (3888418)------------------------------
% 0.20/0.27 % (3888418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (3888418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (3888418)CaDiCaL version: 2.1.3
% 0.20/0.27 % (3888418)Termination reason: Instruction limit
% 0.20/0.27 % (3888418)Termination phase: Saturation
% 0.20/0.27 % (3888418)Time elapsed: 0.001 s
% 0.20/0.27 % (3888418)Peak memory usage: 12 MB
% 0.20/0.27 % (3888418)Instructions burned: 2 (million)
% 0.20/0.27 % (3888411) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3888398-3888411"...
% 0.20/0.27 % (3888412) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3888398-3888412"...
% 0.20/0.27 % (3888407) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3888398-3888407"...
% 0.20/0.27 % (3888411)...printing done.
% 0.20/0.27 % (3888409) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3888398-3888409"...
% 0.20/0.27 % (3888411)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (3888411)------------------------------
% 0.20/0.27 % (3888411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (3888411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (3888411)CaDiCaL version: 2.1.3
% 0.20/0.27 % (3888411)Termination reason: Refutation
% 0.20/0.27 % (3888411)Time elapsed: 0.007 s
% 0.20/0.27 % (3888411)Peak memory usage: 13 MB
% 0.20/0.27 % (3888411)Instructions burned: 11 (million)
% 0.20/0.27 % (3888398)Success in time 0.046 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------