%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV072^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:40:13 AM UTC 2026
% Result : Theorem 1.59s 1.67s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 91 ( 2 unt; 0 typ; 4 def)
% Number of atoms : 826 ( 275 equ; 0 cnn)
% Maximal formula atoms : 10 ( 9 avg)
% Number of connectives : 1163 ( 152 ~; 171 |; 47 &; 763 @)
% ( 11 <=>; 16 =>; 0 <=; 3 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 156 ( 156 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 8 con; 0-5 aty)
% Number of variables : 234 ( 0 ^; 189 !; 45 ?; 234 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_4,type,
sP0: ( a > a > $o ) > $o ).
thf(func_def_5,type,
sP1: a > a > ( a > a > $o ) > $o ).
thf(func_def_6,type,
sP2: ( a > a > $o ) > a > a > $o ).
thf(func_def_7,type,
sK3: a > a > ( a > a > $o ) > a > a > $o ).
thf(func_def_8,type,
sK4: ( a > a > $o ) > ( a > a > $o ) > a ).
thf(func_def_9,type,
sK5: ( a > a > $o ) > ( a > a > $o ) > a ).
thf(func_def_10,type,
sK6: ( a > a > $o ) > a ).
thf(func_def_11,type,
sK7: ( a > a > $o ) > a ).
thf(func_def_12,type,
sK8: a > a > $o ).
thf(func_def_13,type,
sK9: a ).
thf(func_def_14,type,
sK10: a ).
thf(func_def_16,type,
ph12:
!>[X0: $tType] : X0 ).
thf(f1271,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f47,f50,f328,f335,f438,f1270]) ).
thf(f1270,plain,
( ~ spl11_1
| spl11_2 ),
inference(avatar_contradiction_clause,[status(thm)],[f1269]) ).
thf(f1269,plain,
( $false
| ~ spl11_1
| spl11_2 ),
inference(subsumption_resolution,[status(thm)],[f1268,f48]) ).
thf(f48,plain,
( ( $true
!= ( sP2 @ sK8 @ sK9 @ sK10 ) )
| spl11_2 ),
inference(avatar_component_clause,[status(thm)],[f45]) ).
thf(f45,definition,
( spl11_2
<=> ( $true
= ( sP2 @ sK8 @ sK9 @ sK10 ) ) ),
introduced(definition,[new_symbols(naming,[spl11_2])],[avatar_definition]) ).
thf(f1268,plain,
( ( $true
= ( sP2 @ sK8 @ sK9 @ sK10 ) )
| ~ spl11_1
| spl11_2 ),
inference(trivial_inequality_removal,[status(thm)],[f1265]) ).
thf(f1265,plain,
( ( $true
= ( sP2 @ sK8 @ sK9 @ sK10 ) )
| ( $true != $true )
| ~ spl11_1
| spl11_2 ),
inference(superposition,[status(thm)],[f1262,f43]) ).
thf(f43,plain,
( ( ( sP1 @ sK9 @ sK10 @ sK8 )
= $true )
| ~ spl11_1 ),
inference(avatar_component_clause,[status(thm)],[f42]) ).
thf(f42,definition,
( spl11_1
<=> ( ( sP1 @ sK9 @ sK10 @ sK8 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl11_1])],[avatar_definition]) ).
thf(f1262,plain,
( ! [X0: a,X1: a] :
( ( $true
!= ( sP1 @ X0 @ X1 @ sK8 ) )
| ( ( sP2 @ sK8 @ X0 @ X1 )
= $true ) )
| ~ spl11_1
| spl11_2 ),
inference(subsumption_resolution,[status(thm)],[f1260,f48]) ).
thf(f1260,plain,
( ! [X0: a,X1: a] :
( ( $true
= ( sP2 @ sK8 @ sK9 @ sK10 ) )
| ( ( sP2 @ sK8 @ X0 @ X1 )
= $true )
| ( $true
!= ( sP1 @ X0 @ X1 @ sK8 ) ) )
| ~ spl11_1 ),
inference(trivial_inequality_removal,[status(thm)],[f1258]) ).
thf(f1258,plain,
( ! [X0: a,X1: a] :
( ( ( sP2 @ sK8 @ X0 @ X1 )
= $true )
| ( $true
= ( sP2 @ sK8 @ sK9 @ sK10 ) )
| ( $true != $true )
| ( $true
!= ( sP1 @ X0 @ X1 @ sK8 ) ) )
| ~ spl11_1 ),
inference(superposition,[status(thm)],[f683,f43]) ).
thf(f683,plain,
! [X2: a,X3: a,X0: a > a > $o,X1: a,X4: a] :
( ( ( sP1 @ X3 @ X4 @ X0 )
!= $true )
| ( $true
= ( sP2 @ X0 @ X3 @ X4 ) )
| ( $true
= ( sP2 @ X0 @ X1 @ X2 ) )
| ( ( sP1 @ X1 @ X2 @ X0 )
!= $true ) ),
inference(subsumption_resolution,[status(thm)],[f677,f483]) ).
thf(f483,plain,
! [X0: a > a > $o] :
( $true
!= ( sP0 @ ( sP2 @ X0 ) ) ),
inference(subsumption_resolution,[status(thm)],[f482,f81]) ).
thf(f81,plain,
! [X0: a > a > $o] :
( ( $true
!= ( X0 @ ( sK6 @ ( sP2 @ X0 ) ) @ ( sK7 @ ( sP2 @ X0 ) ) ) )
| ( $true
!= ( sP0 @ ( sP2 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f74]) ).
thf(f74,plain,
! [X0: a > a > $o] :
( ( $true
!= ( sP0 @ ( sP2 @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( X0 @ ( sK6 @ ( sP2 @ X0 ) ) @ ( sK7 @ ( sP2 @ X0 ) ) ) ) ),
inference(superposition,[status(thm)],[f36,f30]) ).
thf(f30,plain,
! [X2: a > a > $o,X0: a,X1: a] :
( ( $true
= ( sP2 @ X2 @ X1 @ X0 ) )
| ( $true
!= ( X2 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f14,plain,
! [X0: a,X1: a,X2: a > a > $o] :
( ( ( $true
= ( sP2 @ X2 @ X1 @ X0 ) )
| ( ( $true
!= ( X2 @ X1 @ X0 ) )
& ( $true
!= ( X2 @ X0 @ X1 ) ) ) )
& ( ( $true
= ( X2 @ X1 @ X0 ) )
| ( $true
= ( X2 @ X0 @ X1 ) )
| ( $true
!= ( sP2 @ X2 @ X1 @ X0 ) ) ) ),
inference(rectify,[status(thm)],[f13]) ).
thf(f13,plain,
! [X2: a,X0: a,X1: a > a > $o] :
( ( ( ( sP2 @ X1 @ X0 @ X2 )
= $true )
| ( ( ( X1 @ X0 @ X2 )
!= $true )
& ( ( X1 @ X2 @ X0 )
!= $true ) ) )
& ( ( ( X1 @ X0 @ X2 )
= $true )
| ( ( X1 @ X2 @ X0 )
= $true )
| ( ( sP2 @ X1 @ X0 @ X2 )
!= $true ) ) ),
inference(flattening,[status(thm)],[f12]) ).
thf(f12,plain,
! [X2: a,X0: a,X1: a > a > $o] :
( ( ( ( sP2 @ X1 @ X0 @ X2 )
= $true )
| ( ( ( X1 @ X0 @ X2 )
!= $true )
& ( ( X1 @ X2 @ X0 )
!= $true ) ) )
& ( ( ( X1 @ X0 @ X2 )
= $true )
| ( ( X1 @ X2 @ X0 )
= $true )
| ( ( sP2 @ X1 @ X0 @ X2 )
!= $true ) ) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
thf(f10,plain,
! [X2: a,X0: a,X1: a > a > $o] :
( ( ( sP2 @ X1 @ X0 @ X2 )
= $true )
<=> ( ( ( X1 @ X0 @ X2 )
= $true )
| ( ( X1 @ X2 @ X0 )
= $true ) ) ),
introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction]) ).
thf(f36,plain,
! [X0: a > a > $o] :
( ( $true
!= ( X0 @ ( sK6 @ X0 ) @ ( sK7 @ X0 ) ) )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
thf(f23,plain,
! [X0: a > a > $o] :
( ( ( ( sP0 @ X0 )
= $true )
| ! [X1: a,X2: a] :
( ( ( X0 @ X2 @ X1 )
!= $true )
| ( ( X0 @ X1 @ X2 )
= $true ) ) )
& ( ( ( ( X0 @ ( sK7 @ X0 ) @ ( sK6 @ X0 ) )
= $true )
& ( $true
!= ( X0 @ ( sK6 @ X0 ) @ ( sK7 @ X0 ) ) ) )
| ( ( sP0 @ X0 )
!= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f21,f22]) ).
thf(f22,plain,
! [X0: a > a > $o] :
( ? [X3: a,X4: a] :
( ( ( X0 @ X4 @ X3 )
= $true )
& ( $true
!= ( X0 @ X3 @ X4 ) ) )
=> ( ( ( X0 @ ( sK7 @ X0 ) @ ( sK6 @ X0 ) )
= $true )
& ( $true
!= ( X0 @ ( sK6 @ X0 ) @ ( sK7 @ X0 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f21,plain,
! [X0: a > a > $o] :
( ( ( ( sP0 @ X0 )
= $true )
| ! [X1: a,X2: a] :
( ( ( X0 @ X2 @ X1 )
!= $true )
| ( ( X0 @ X1 @ X2 )
= $true ) ) )
& ( ? [X3: a,X4: a] :
( ( ( X0 @ X4 @ X3 )
= $true )
& ( $true
!= ( X0 @ X3 @ X4 ) ) )
| ( ( sP0 @ X0 )
!= $true ) ) ),
inference(rectify,[status(thm)],[f20]) ).
thf(f20,plain,
! [X3: a > a > $o] :
( ( ( $true
= ( sP0 @ X3 ) )
| ! [X4: a,X5: a] :
( ( ( X3 @ X5 @ X4 )
!= $true )
| ( ( X3 @ X4 @ X5 )
= $true ) ) )
& ( ? [X4: a,X5: a] :
( ( ( X3 @ X5 @ X4 )
= $true )
& ( ( X3 @ X4 @ X5 )
!= $true ) )
| ( $true
!= ( sP0 @ X3 ) ) ) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
thf(f8,plain,
! [X3: a > a > $o] :
( ( $true
= ( sP0 @ X3 ) )
<=> ? [X4: a,X5: a] :
( ( ( X3 @ X5 @ X4 )
= $true )
& ( ( X3 @ X4 @ X5 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction]) ).
thf(f482,plain,
! [X0: a > a > $o] :
( ( $true
!= ( sP0 @ ( sP2 @ X0 ) ) )
| ( $true
= ( X0 @ ( sK6 @ ( sP2 @ X0 ) ) @ ( sK7 @ ( sP2 @ X0 ) ) ) ) ),
inference(subsumption_resolution,[status(thm)],[f128,f82]) ).
thf(f82,plain,
! [X0: a > a > $o] :
( ( $true
!= ( X0 @ ( sK7 @ ( sP2 @ X0 ) ) @ ( sK6 @ ( sP2 @ X0 ) ) ) )
| ( $true
!= ( sP0 @ ( sP2 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f75]) ).
thf(f75,plain,
! [X0: a > a > $o] :
( ( $true
!= ( X0 @ ( sK7 @ ( sP2 @ X0 ) ) @ ( sK6 @ ( sP2 @ X0 ) ) ) )
| ( $true
!= ( sP0 @ ( sP2 @ X0 ) ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f36,f29]) ).
thf(f29,plain,
! [X2: a > a > $o,X0: a,X1: a] :
( ( $true
= ( sP2 @ X2 @ X1 @ X0 ) )
| ( $true
!= ( X2 @ X0 @ X1 ) ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f128,plain,
! [X0: a > a > $o] :
( ( $true
= ( X0 @ ( sK7 @ ( sP2 @ X0 ) ) @ ( sK6 @ ( sP2 @ X0 ) ) ) )
| ( $true
!= ( sP0 @ ( sP2 @ X0 ) ) )
| ( $true
= ( X0 @ ( sK6 @ ( sP2 @ X0 ) ) @ ( sK7 @ ( sP2 @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f125]) ).
thf(f125,plain,
! [X0: a > a > $o] :
( ( $true
!= ( sP0 @ ( sP2 @ X0 ) ) )
| ( $true
= ( X0 @ ( sK7 @ ( sP2 @ X0 ) ) @ ( sK6 @ ( sP2 @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( X0 @ ( sK6 @ ( sP2 @ X0 ) ) @ ( sK7 @ ( sP2 @ X0 ) ) ) ) ),
inference(superposition,[status(thm)],[f28,f37]) ).
thf(f37,plain,
! [X0: a > a > $o] :
( ( ( X0 @ ( sK7 @ X0 ) @ ( sK6 @ X0 ) )
= $true )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
thf(f28,plain,
! [X2: a > a > $o,X0: a,X1: a] :
( ( $true
!= ( sP2 @ X2 @ X1 @ X0 ) )
| ( $true
= ( X2 @ X0 @ X1 ) )
| ( $true
= ( X2 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f677,plain,
! [X2: a,X3: a,X0: a > a > $o,X1: a,X4: a] :
( ( ( sP1 @ X3 @ X4 @ X0 )
!= $true )
| ( $true
= ( sP2 @ X0 @ X1 @ X2 ) )
| ( $true
= ( sP2 @ X0 @ X3 @ X4 ) )
| ( ( sP1 @ X1 @ X2 @ X0 )
!= $true )
| ( $true
= ( sP0 @ ( sP2 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f664]) ).
thf(f664,plain,
! [X2: a,X3: a,X0: a > a > $o,X1: a,X4: a] :
( ( ( sP1 @ X1 @ X2 @ X0 )
!= $true )
| ( $true
= ( sP2 @ X0 @ X3 @ X4 ) )
| ( $true
= ( sP0 @ ( sP2 @ X0 ) ) )
| ( $true
= ( sP2 @ X0 @ X1 @ X2 ) )
| ( $true != $true )
| ( ( sP1 @ X3 @ X4 @ X0 )
!= $true ) ),
inference(superposition,[status(thm)],[f652,f31]) ).
thf(f31,plain,
! [X2: a,X0: a > a > $o,X1: a,X6: a > a > $o] :
( ( $true
= ( X0 @ ( sK5 @ X6 @ X0 ) @ ( sK4 @ X6 @ X0 ) ) )
| ( $true
= ( sP0 @ X6 ) )
| ( ( sP1 @ X2 @ X1 @ X0 )
!= $true )
| ( ( X6 @ X2 @ X1 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f19,plain,
! [X0: a > a > $o,X1: a,X2: a] :
( ( ( ( sP1 @ X2 @ X1 @ X0 )
= $true )
| ( ! [X4: a,X5: a] :
( ( $true
= ( sK3 @ X2 @ X1 @ X0 @ X5 @ X4 ) )
| ( $true
!= ( X0 @ X5 @ X4 ) ) )
& ( ( sP0 @ ( sK3 @ X2 @ X1 @ X0 ) )
!= $true )
& ( $true
!= ( sK3 @ X2 @ X1 @ X0 @ X2 @ X1 ) ) ) )
& ( ! [X6: a > a > $o] :
( ( ( $true
!= ( X6 @ ( sK5 @ X6 @ X0 ) @ ( sK4 @ X6 @ X0 ) ) )
& ( $true
= ( X0 @ ( sK5 @ X6 @ X0 ) @ ( sK4 @ X6 @ X0 ) ) ) )
| ( $true
= ( sP0 @ X6 ) )
| ( ( X6 @ X2 @ X1 )
= $true ) )
| ( ( sP1 @ X2 @ X1 @ X0 )
!= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f16,f18,f17]) ).
thf(f17,plain,
! [X0: a > a > $o,X1: a,X2: a] :
( ? [X3: a > a > $o] :
( ! [X4: a,X5: a] :
( ( ( X3 @ X5 @ X4 )
= $true )
| ( $true
!= ( X0 @ X5 @ X4 ) ) )
& ( $true
!= ( sP0 @ X3 ) )
& ( $true
!= ( X3 @ X2 @ X1 ) ) )
=> ( ! [X5: a,X4: a] :
( ( $true
= ( sK3 @ X2 @ X1 @ X0 @ X5 @ X4 ) )
| ( $true
!= ( X0 @ X5 @ X4 ) ) )
& ( ( sP0 @ ( sK3 @ X2 @ X1 @ X0 ) )
!= $true )
& ( $true
!= ( sK3 @ X2 @ X1 @ X0 @ X2 @ X1 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f18,plain,
! [X0: a > a > $o,X6: a > a > $o] :
( ? [X7: a,X8: a] :
( ( $true
!= ( X6 @ X8 @ X7 ) )
& ( ( X0 @ X8 @ X7 )
= $true ) )
=> ( ( $true
!= ( X6 @ ( sK5 @ X6 @ X0 ) @ ( sK4 @ X6 @ X0 ) ) )
& ( $true
= ( X0 @ ( sK5 @ X6 @ X0 ) @ ( sK4 @ X6 @ X0 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f16,plain,
! [X0: a > a > $o,X1: a,X2: a] :
( ( ( ( sP1 @ X2 @ X1 @ X0 )
= $true )
| ? [X3: a > a > $o] :
( ! [X4: a,X5: a] :
( ( ( X3 @ X5 @ X4 )
= $true )
| ( $true
!= ( X0 @ X5 @ X4 ) ) )
& ( $true
!= ( sP0 @ X3 ) )
& ( $true
!= ( X3 @ X2 @ X1 ) ) ) )
& ( ! [X6: a > a > $o] :
( ? [X7: a,X8: a] :
( ( $true
!= ( X6 @ X8 @ X7 ) )
& ( ( X0 @ X8 @ X7 )
= $true ) )
| ( $true
= ( sP0 @ X6 ) )
| ( ( X6 @ X2 @ X1 )
= $true ) )
| ( ( sP1 @ X2 @ X1 @ X0 )
!= $true ) ) ),
inference(rectify,[status(thm)],[f15]) ).
thf(f15,plain,
! [X1: a > a > $o,X2: a,X0: a] :
( ( ( $true
= ( sP1 @ X0 @ X2 @ X1 ) )
| ? [X3: a > a > $o] :
( ! [X6: a,X7: a] :
( ( $true
= ( X3 @ X7 @ X6 ) )
| ( $true
!= ( X1 @ X7 @ X6 ) ) )
& ( $true
!= ( sP0 @ X3 ) )
& ( $true
!= ( X3 @ X0 @ X2 ) ) ) )
& ( ! [X3: a > a > $o] :
( ? [X6: a,X7: a] :
( ( $true
!= ( X3 @ X7 @ X6 ) )
& ( $true
= ( X1 @ X7 @ X6 ) ) )
| ( $true
= ( sP0 @ X3 ) )
| ( $true
= ( X3 @ X0 @ X2 ) ) )
| ( $true
!= ( sP1 @ X0 @ X2 @ X1 ) ) ) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
thf(f9,plain,
! [X1: a > a > $o,X2: a,X0: a] :
( ( $true
= ( sP1 @ X0 @ X2 @ X1 ) )
<=> ! [X3: a > a > $o] :
( ? [X6: a,X7: a] :
( ( $true
!= ( X3 @ X7 @ X6 ) )
& ( $true
= ( X1 @ X7 @ X6 ) ) )
| ( $true
= ( sP0 @ X3 ) )
| ( $true
= ( X3 @ X0 @ X2 ) ) ) ),
introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction]) ).
thf(f652,plain,
! [X2: a,X3: a,X0: a > a > $o,X1: a > a > $o] :
( ( ( X0 @ ( sK5 @ ( sP2 @ X0 ) @ X1 ) @ ( sK4 @ ( sP2 @ X0 ) @ X1 ) )
!= $true )
| ( ( sP1 @ X2 @ X3 @ X1 )
!= $true )
| ( $true
= ( sP2 @ X0 @ X2 @ X3 ) ) ),
inference(subsumption_resolution,[status(thm)],[f207,f483]) ).
thf(f207,plain,
! [X2: a,X3: a,X0: a > a > $o,X1: a > a > $o] :
( ( $true
= ( sP2 @ X0 @ X2 @ X3 ) )
| ( ( X0 @ ( sK5 @ ( sP2 @ X0 ) @ X1 ) @ ( sK4 @ ( sP2 @ X0 ) @ X1 ) )
!= $true )
| ( $true
= ( sP0 @ ( sP2 @ X0 ) ) )
| ( ( sP1 @ X2 @ X3 @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f198]) ).
thf(f198,plain,
! [X2: a,X3: a,X0: a > a > $o,X1: a > a > $o] :
( ( ( X0 @ ( sK5 @ ( sP2 @ X0 ) @ X1 ) @ ( sK4 @ ( sP2 @ X0 ) @ X1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( sP2 @ X0 @ X2 @ X3 ) )
| ( $true
= ( sP0 @ ( sP2 @ X0 ) ) )
| ( ( sP1 @ X2 @ X3 @ X1 )
!= $true ) ),
inference(superposition,[status(thm)],[f32,f30]) ).
thf(f32,plain,
! [X2: a,X0: a > a > $o,X1: a,X6: a > a > $o] :
( ( $true
!= ( X6 @ ( sK5 @ X6 @ X0 ) @ ( sK4 @ X6 @ X0 ) ) )
| ( $true
= ( sP0 @ X6 ) )
| ( ( X6 @ X2 @ X1 )
= $true )
| ( ( sP1 @ X2 @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f438,plain,
( spl11_1
| ~ spl11_7 ),
inference(avatar_contradiction_clause,[status(thm)],[f437]) ).
thf(f437,plain,
( $false
| spl11_1
| ~ spl11_7 ),
inference(subsumption_resolution,[status(thm)],[f332,f132]) ).
thf(f132,plain,
( ( ( sK8 @ sK10 @ sK9 )
= $true )
| ~ spl11_7 ),
inference(avatar_component_clause,[status(thm)],[f131]) ).
thf(f131,definition,
( spl11_7
<=> ( ( sK8 @ sK10 @ sK9 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl11_7])],[avatar_definition]) ).
thf(f332,plain,
( ( ( sK8 @ sK10 @ sK9 )
!= $true )
| spl11_1 ),
inference(trivial_inequality_removal,[status(thm)],[f329]) ).
thf(f329,plain,
( ( ( sK8 @ sK10 @ sK9 )
!= $true )
| ( $true != $true )
| spl11_1 ),
inference(superposition,[status(thm)],[f49,f303]) ).
thf(f303,plain,
! [X2: a > a > $o,X0: a,X1: a] :
( ( $true
= ( sP1 @ X0 @ X1 @ X2 ) )
| ( $true
!= ( X2 @ X1 @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f302]) ).
thf(f302,plain,
! [X2: a > a > $o,X0: a,X1: a] :
( ( $true
= ( sP1 @ X0 @ X1 @ X2 ) )
| ( $true != $true )
| ( $true
!= ( X2 @ X1 @ X0 ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f299]) ).
thf(f299,plain,
! [X2: a > a > $o,X0: a,X1: a] :
( ( $true
!= ( X2 @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
= ( sP1 @ X0 @ X1 @ X2 ) )
| ( $true
= ( sP1 @ X0 @ X1 @ X2 ) ) ),
inference(superposition,[status(thm)],[f160,f35]) ).
thf(f35,plain,
! [X2: a,X0: a > a > $o,X1: a,X4: a,X5: a] :
( ( $true
= ( sK3 @ X2 @ X1 @ X0 @ X5 @ X4 ) )
| ( $true
!= ( X0 @ X5 @ X4 ) )
| ( ( sP1 @ X2 @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f160,plain,
! [X2: a > a > $o,X0: a,X1: a] :
( ( ( sK3 @ X0 @ X1 @ X2 @ X1 @ X0 )
!= $true )
| ( $true
= ( sP1 @ X0 @ X1 @ X2 ) ) ),
inference(subsumption_resolution,[status(thm)],[f159,f34]) ).
thf(f34,plain,
! [X2: a,X0: a > a > $o,X1: a] :
( ( ( sP0 @ ( sK3 @ X2 @ X1 @ X0 ) )
!= $true )
| ( ( sP1 @ X2 @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f159,plain,
! [X2: a > a > $o,X0: a,X1: a] :
( ( ( sP0 @ ( sK3 @ X0 @ X1 @ X2 ) )
= $true )
| ( ( sK3 @ X0 @ X1 @ X2 @ X1 @ X0 )
!= $true )
| ( $true
= ( sP1 @ X0 @ X1 @ X2 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f158]) ).
thf(f158,plain,
! [X2: a > a > $o,X0: a,X1: a] :
( ( ( sK3 @ X0 @ X1 @ X2 @ X1 @ X0 )
!= $true )
| ( ( sP0 @ ( sK3 @ X0 @ X1 @ X2 ) )
= $true )
| ( $true != $true )
| ( $true
= ( sP1 @ X0 @ X1 @ X2 ) ) ),
inference(superposition,[status(thm)],[f33,f38]) ).
thf(f38,plain,
! [X2: a,X0: a > a > $o,X1: a] :
( ( ( X0 @ X1 @ X2 )
= $true )
| ( ( X0 @ X2 @ X1 )
!= $true )
| ( ( sP0 @ X0 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
thf(f33,plain,
! [X2: a,X0: a > a > $o,X1: a] :
( ( $true
!= ( sK3 @ X2 @ X1 @ X0 @ X2 @ X1 ) )
| ( ( sP1 @ X2 @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f49,plain,
( ( ( sP1 @ sK9 @ sK10 @ sK8 )
!= $true )
| spl11_1 ),
inference(avatar_component_clause,[status(thm)],[f42]) ).
thf(f335,plain,
( ~ spl11_8
| spl11_1 ),
inference(avatar_split_clause,[status(thm)],[f331,f42,f134]) ).
thf(f134,definition,
( spl11_8
<=> ( $true
= ( sK8 @ sK9 @ sK10 ) ) ),
introduced(definition,[new_symbols(naming,[spl11_8])],[avatar_definition]) ).
thf(f331,plain,
( ( $true
!= ( sK8 @ sK9 @ sK10 ) )
| spl11_1 ),
inference(trivial_inequality_removal,[status(thm)],[f330]) ).
thf(f330,plain,
( ( $true != $true )
| ( $true
!= ( sK8 @ sK9 @ sK10 ) )
| spl11_1 ),
inference(superposition,[status(thm)],[f49,f167]) ).
thf(f167,plain,
! [X2: a > a > $o,X0: a,X1: a] :
( ( $true
= ( sP1 @ X0 @ X1 @ X2 ) )
| ( $true
!= ( X2 @ X0 @ X1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f166]) ).
thf(f166,plain,
! [X2: a > a > $o,X0: a,X1: a] :
( ( $true
!= ( X2 @ X0 @ X1 ) )
| ( $true != $true )
| ( $true
= ( sP1 @ X0 @ X1 @ X2 ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f163]) ).
thf(f163,plain,
! [X2: a > a > $o,X0: a,X1: a] :
( ( $true
!= ( X2 @ X0 @ X1 ) )
| ( $true
= ( sP1 @ X0 @ X1 @ X2 ) )
| ( $true != $true )
| ( $true
= ( sP1 @ X0 @ X1 @ X2 ) ) ),
inference(superposition,[status(thm)],[f33,f35]) ).
thf(f328,plain,
( spl11_7
| spl11_8
| ~ spl11_2 ),
inference(avatar_split_clause,[status(thm)],[f327,f45,f134,f131]) ).
thf(f327,plain,
( ( $true
= ( sK8 @ sK9 @ sK10 ) )
| ( ( sK8 @ sK10 @ sK9 )
= $true )
| ~ spl11_2 ),
inference(trivial_inequality_removal,[status(thm)],[f326]) ).
thf(f326,plain,
( ( ( sK8 @ sK10 @ sK9 )
= $true )
| ( $true
= ( sK8 @ sK9 @ sK10 ) )
| ( $true != $true )
| ~ spl11_2 ),
inference(superposition,[status(thm)],[f28,f46]) ).
thf(f46,plain,
( ( $true
= ( sP2 @ sK8 @ sK9 @ sK10 ) )
| ~ spl11_2 ),
inference(avatar_component_clause,[status(thm)],[f45]) ).
thf(f50,plain,
( ~ spl11_2
| ~ spl11_1 ),
inference(avatar_split_clause,[status(thm)],[f40,f42,f45]) ).
thf(f40,plain,
( ( ( sP1 @ sK9 @ sK10 @ sK8 )
!= $true )
| ( $true
!= ( sP2 @ sK8 @ sK9 @ sK10 ) ) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
thf(f27,plain,
( ( ( $true
!= ( sP2 @ sK8 @ sK9 @ sK10 ) )
| ( ( sP1 @ sK9 @ sK10 @ sK8 )
!= $true ) )
& ( ( $true
= ( sP2 @ sK8 @ sK9 @ sK10 ) )
| ( ( sP1 @ sK9 @ sK10 @ sK8 )
= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f25,f26]) ).
thf(f26,plain,
( ? [X0: a > a > $o,X1: a,X2: a] :
( ( ( $true
!= ( sP2 @ X0 @ X1 @ X2 ) )
| ( ( sP1 @ X1 @ X2 @ X0 )
!= $true ) )
& ( ( $true
= ( sP2 @ X0 @ X1 @ X2 ) )
| ( ( sP1 @ X1 @ X2 @ X0 )
= $true ) ) )
=> ( ( ( $true
!= ( sP2 @ sK8 @ sK9 @ sK10 ) )
| ( ( sP1 @ sK9 @ sK10 @ sK8 )
!= $true ) )
& ( ( $true
= ( sP2 @ sK8 @ sK9 @ sK10 ) )
| ( ( sP1 @ sK9 @ sK10 @ sK8 )
= $true ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f25,plain,
? [X0: a > a > $o,X1: a,X2: a] :
( ( ( $true
!= ( sP2 @ X0 @ X1 @ X2 ) )
| ( ( sP1 @ X1 @ X2 @ X0 )
!= $true ) )
& ( ( $true
= ( sP2 @ X0 @ X1 @ X2 ) )
| ( ( sP1 @ X1 @ X2 @ X0 )
= $true ) ) ),
inference(rectify,[status(thm)],[f24]) ).
thf(f24,plain,
? [X1: a > a > $o,X0: a,X2: a] :
( ( ( ( sP2 @ X1 @ X0 @ X2 )
!= $true )
| ( $true
!= ( sP1 @ X0 @ X2 @ X1 ) ) )
& ( ( ( sP2 @ X1 @ X0 @ X2 )
= $true )
| ( $true
= ( sP1 @ X0 @ X2 @ X1 ) ) ) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
thf(f11,plain,
? [X1: a > a > $o,X0: a,X2: a] :
( ( $true
= ( sP1 @ X0 @ X2 @ X1 ) )
<~> ( ( sP2 @ X1 @ X0 @ X2 )
= $true ) ),
inference(definition_folding,[status(thm)],[f7,f10,f9,f8]) ).
thf(f7,plain,
? [X1: a > a > $o,X0: a,X2: a] :
( ! [X3: a > a > $o] :
( ? [X6: a,X7: a] :
( ( $true
!= ( X3 @ X7 @ X6 ) )
& ( $true
= ( X1 @ X7 @ X6 ) ) )
| ? [X4: a,X5: a] :
( ( ( X3 @ X5 @ X4 )
= $true )
& ( ( X3 @ X4 @ X5 )
!= $true ) )
| ( $true
= ( X3 @ X0 @ X2 ) ) )
<~> ( ( ( X1 @ X0 @ X2 )
= $true )
| ( ( X1 @ X2 @ X0 )
= $true ) ) ),
inference(flattening,[status(thm)],[f6]) ).
thf(f6,plain,
? [X1: a > a > $o,X2: a,X0: a] :
( ! [X3: a > a > $o] :
( ( $true
= ( X3 @ X0 @ X2 ) )
| ? [X6: a,X7: a] :
( ( $true
!= ( X3 @ X7 @ X6 ) )
& ( $true
= ( X1 @ X7 @ X6 ) ) )
| ? [X4: a,X5: a] :
( ( ( X3 @ X5 @ X4 )
= $true )
& ( ( X3 @ X4 @ X5 )
!= $true ) ) )
<~> ( ( ( X1 @ X0 @ X2 )
= $true )
| ( ( X1 @ X2 @ X0 )
= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
~ ! [X1: a > a > $o,X2: a,X0: a] :
( ! [X3: a > a > $o] :
( ( ! [X7: a,X6: a] :
( ( $true
= ( X1 @ X7 @ X6 ) )
=> ( $true
= ( X3 @ X7 @ X6 ) ) )
& ! [X4: a,X5: a] :
( ( ( X3 @ X5 @ X4 )
= $true )
=> ( ( X3 @ X4 @ X5 )
= $true ) ) )
=> ( $true
= ( X3 @ X0 @ X2 ) ) )
<=> ( ( ( X1 @ X0 @ X2 )
= $true )
| ( ( X1 @ X2 @ X0 )
= $true ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: a,X1: a > a > $o,X2: a] :
( ( ( X1 @ X2 @ X0 )
| ( X1 @ X0 @ X2 ) )
<=> ! [X3: a > a > $o] :
( ( ! [X4: a,X5: a] :
( ( X3 @ X5 @ X4 )
=> ( X3 @ X4 @ X5 ) )
& ! [X6: a,X7: a] :
( ( X1 @ X7 @ X6 )
=> ( X3 @ X7 @ X6 ) ) )
=> ( X3 @ X0 @ X2 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X1: a,X0: a > a > $o,X2: a] :
( ( ( X0 @ X2 @ X1 )
| ( X0 @ X1 @ X2 ) )
<=> ! [X3: a > a > $o] :
( ( ! [X5: a,X4: a] :
( ( X3 @ X4 @ X5 )
=> ( X3 @ X5 @ X4 ) )
& ! [X5: a,X4: a] :
( ( X0 @ X4 @ X5 )
=> ( X3 @ X4 @ X5 ) ) )
=> ( X3 @ X1 @ X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X1: a,X0: a > a > $o,X2: a] :
( ( ( X0 @ X2 @ X1 )
| ( X0 @ X1 @ X2 ) )
<=> ! [X3: a > a > $o] :
( ( ! [X5: a,X4: a] :
( ( X3 @ X4 @ X5 )
=> ( X3 @ X5 @ X4 ) )
& ! [X5: a,X4: a] :
( ( X0 @ X4 @ X5 )
=> ( X3 @ X4 @ X5 ) ) )
=> ( X3 @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.g3omFeOmAi/DTF2THF_31272.p',cTHM522_pme) ).
thf(f47,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[status(thm)],[f39,f45,f42]) ).
thf(f39,plain,
( ( $true
= ( sP2 @ sK8 @ sK9 @ sK10 ) )
| ( ( sP1 @ sK9 @ sK10 @ sK8 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV072^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n013.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 12:39:38 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.29/0.46 ---- Original DTF file ---
% 0.29/0.46 thf(spec,logic,$$dhol).
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 % File : SEV072^5 : TPTP v9.2.1. Released v4.0.0.
% 0.29/0.46 % Domain : Set Theory (Relations)
% 0.29/0.46 % Problem : TPS problem THM522
% 0.29/0.46 % Version : Especial.
% 0.29/0.46 % English : Theorem about symmetric closure of relations.
% 0.29/0.46
% 0.29/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.29/0.46 % Source : [Bro09]
% 0.29/0.46 % Names : tps_0498 [Bro09]
% 0.29/0.46 % : THM522 [TPS]
% 0.29/0.46
% 0.29/0.46 % Status : Theorem
% 0.29/0.46 % Rating : 0.67 v9.1.0, 0.62 v9.0.0, 0.67 v8.2.0, 0.64 v8.1.0, 0.58 v7.5.0, 0.75 v7.4.0, 0.67 v7.3.0, 0.70 v7.2.0, 0.62 v7.1.0, 0.57 v7.0.0, 0.62 v6.4.0, 0.57 v6.3.0, 0.50 v6.2.0, 0.67 v5.5.0, 0.80 v5.4.0, 0.75 v4.1.0, 0.67 v4.0.0
% 0.29/0.46 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.29/0.46 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.29/0.46 % Maximal formula atoms : 0 ( 0 avg)
% 0.29/0.46 % Number of connectives : 20 ( 0 ~; 1 |; 1 &; 14 @)
% 0.29/0.46 % ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% 0.29/0.46 % Maximal formula depth : 13 ( 13 avg)
% 0.29/0.46 % Number of types : 2 ( 1 usr)
% 0.29/0.46 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 0.29/0.46 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.29/0.46 % Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% 0.29/0.46 % SPC : TH0_THM_NEQ_NAR
% 0.29/0.46
% 0.29/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.29/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.29/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.29/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.29/0.46 % : Polymorphic definitions expanded.
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 thf(a_type,type,
% 0.29/0.46 a: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(cTHM522_pme,conjecture,
% 0.29/0.46 ! [Xr: a > a > $o,Xx: a,Xy: a] :
% 0.29/0.46 ( ( ( Xr @ Xx @ Xy )
% 0.29/0.46 | ( Xr @ Xy @ Xx ) )
% 0.29/0.46 <=> ! [Xp: a > a > $o] :
% 0.29/0.46 ( ( ! [Xx0: a,Xy0: a] :
% 0.29/0.46 ( ( Xr @ Xx0 @ Xy0 )
% 0.29/0.46 => ( Xp @ Xx0 @ Xy0 ) )
% 0.29/0.46 & ! [Xx0: a,Xy0: a] :
% 0.29/0.46 ( ( Xp @ Xx0 @ Xy0 )
% 0.29/0.46 => ( Xp @ Xy0 @ Xx0 ) ) )
% 0.29/0.46 => ( Xp @ Xx @ Xy ) ) ) ).
% 0.29/0.46
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 ------------------------
% 1.47/1.26 ---- Embedded in THF ---
% 1.47/1.26 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.47/1.26 %%% Generated on Tue Feb 24 12:39:39 EST 2026
% 1.47/1.26 %%% using '$$dhol' embedding, version 1.3.0.
% 1.47/1.26 %%% Logic specification used:
% 1.47/1.26 %%% thf(spec, logic, $$dhol).
% 1.47/1.26
% 1.47/1.26 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.g3omFeOmAi/DTF2DTF31272.p
% See solution above
% 1.47/1.26 ------------------------
% 1.47/1.27 ---- Cleaned THF ---
% 1.47/1.27 thf(a_type,type,
% 1.47/1.27 a: $tType ).
% 1.47/1.27
% 1.47/1.27 thf(cTHM522_pme,conjecture,
% 1.47/1.27 ! [Xr: a > a > $o,Xx: a,Xy: a] :
% 1.47/1.27 ( ( ( Xr @ Xx @ Xy )
% 1.47/1.27 | ( Xr @ Xy @ Xx ) )
% 1.47/1.27 <=> ! [Xp: a > a > $o] :
% 1.47/1.27 ( ( ! [Xx0: a,Xy0: a] :
% 1.47/1.27 ( ( Xr @ Xx0 @ Xy0 )
% 1.47/1.27 => ( Xp @ Xx0 @ Xy0 ) )
% 1.47/1.27 & ! [Xx0: a,Xy0: a] :
% 1.47/1.27 ( ( Xp @ Xx0 @ Xy0 )
% 1.47/1.27 => ( Xp @ Xy0 @ Xx0 ) ) )
% 1.47/1.27 => ( Xp @ Xx @ Xy ) ) ) ).
% 1.47/1.27 ------------------------
% 1.47/1.28 % (31463)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/27Mi)
% 1.47/1.28 % (31465)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/2Mi)
% 1.47/1.28 % (31464)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/2Mi)
% 1.47/1.28 % (31465)Instruction limit reached!
% 1.47/1.28 % (31465)------------------------------
% 1.47/1.28 % (31465)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.28 % (31465)Termination reason: Unknown
% 1.47/1.28 % (31465)Termination phase: Saturation
% 1.47/1.28
% 1.47/1.28 % (31465)Memory used [KB]: 5500
% 1.47/1.28 % (31465)Time elapsed: 0.002 s
% 1.47/1.28 % (31465)Instructions burned: 2 (million)
% 1.47/1.28 % (31465)------------------------------
% 1.47/1.28 % (31465)------------------------------
% 1.47/1.29 % (31464)Instruction limit reached!
% 1.47/1.29 % (31464)------------------------------
% 1.47/1.29 % (31464)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.29 % (31464)Termination reason: Unknown
% 1.47/1.29 % (31464)Termination phase: Saturation
% 1.47/1.29
% 1.47/1.29 % (31464)Memory used [KB]: 5500
% 1.47/1.29 % (31464)Time elapsed: 0.002 s
% 1.47/1.29 % (31464)Instructions burned: 3 (million)
% 1.47/1.29 % (31464)------------------------------
% 1.47/1.29 % (31464)------------------------------
% 1.47/1.29 % (31463)Refutation not found, incomplete strategy
% 1.47/1.29 % (31463)------------------------------
% 1.47/1.29 % (31463)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.29 % (31463)Termination reason: Refutation not found, incomplete strategy
% 1.47/1.29
% 1.47/1.29
% 1.47/1.29 % (31463)Memory used [KB]: 5628
% 1.47/1.29 % (31463)Time elapsed: 0.007 s
% 1.47/1.29 % (31463)Instructions burned: 16 (million)
% 1.47/1.29 % (31463)------------------------------
% 1.47/1.29 % (31463)------------------------------
% 1.47/1.29 % (31462)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/4Mi)
% 1.47/1.29 % (31467)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/18Mi)
% 1.47/1.29 % (31468)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/3Mi)
% 1.47/1.29 % (31462)Instruction limit reached!
% 1.47/1.29 % (31462)------------------------------
% 1.47/1.29 % (31462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.29 % (31462)Termination reason: Unknown
% 1.47/1.29 % (31462)Termination phase: Saturation
% 1.47/1.29
% 1.47/1.29 % (31462)Memory used [KB]: 5500
% 1.47/1.29 % (31462)Time elapsed: 0.005 s
% 1.47/1.29 % (31462)Instructions burned: 5 (million)
% 1.47/1.29 % (31462)------------------------------
% 1.47/1.29 % (31462)------------------------------
% 1.47/1.29 % (31468)Instruction limit reached!
% 1.47/1.29 % (31468)------------------------------
% 1.47/1.29 % (31468)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.29 % (31468)Termination reason: Unknown
% 1.47/1.29 % (31468)Termination phase: Saturation
% 1.47/1.29
% 1.47/1.29 % (31468)Memory used [KB]: 5500
% 1.47/1.30 % (31468)Time elapsed: 0.002 s
% 1.47/1.30 % (31468)Instructions burned: 4 (million)
% 1.47/1.30 % (31468)------------------------------
% 1.47/1.30 % (31468)------------------------------
% 1.47/1.30 % (31466)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/275Mi)
% 1.47/1.30 % (31469)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/37Mi)
% 1.59/1.30 % (31466)Refutation not found, incomplete strategy
% 1.59/1.30 % (31466)------------------------------
% 1.59/1.30 % (31466)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.30 % (31466)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.30
% 1.59/1.30
% 1.59/1.30 % (31466)Memory used [KB]: 5500
% 1.59/1.30 % (31466)Time elapsed: 0.003 s
% 1.59/1.30 % (31466)Instructions burned: 3 (million)
% 1.59/1.30 % (31466)------------------------------
% 1.59/1.30 % (31466)------------------------------
% 1.59/1.30 % (31470)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/15Mi)
% 1.59/1.30 % (31461)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/183Mi)
% 1.59/1.30 % (31467)Instruction limit reached!
% 1.59/1.30 % (31467)------------------------------
% 1.59/1.30 % (31467)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.30 % (31467)Termination reason: Unknown
% 1.59/1.30 % (31467)Termination phase: Saturation
% 1.59/1.30
% 1.59/1.30 % (31467)Memory used [KB]: 5628
% 1.59/1.30 % (31467)Time elapsed: 0.013 s
% 1.59/1.30 % (31467)Instructions burned: 18 (million)
% 1.59/1.30 % (31467)------------------------------
% 1.59/1.30 % (31467)------------------------------
% 1.59/1.30 % (31470)Instruction limit reached!
% 1.59/1.30 % (31470)------------------------------
% 1.59/1.30 % (31470)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.30 % (31470)Termination reason: Unknown
% 1.59/1.30 % (31470)Termination phase: Saturation
% 1.59/1.30
% 1.59/1.30 % (31470)Memory used [KB]: 5628
% 1.59/1.30 % (31470)Time elapsed: 0.006 s
% 1.59/1.30 % (31470)Instructions burned: 15 (million)
% 1.59/1.30 % (31470)------------------------------
% 1.59/1.30 % (31470)------------------------------
% 1.59/1.30 % (31472)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/1041Mi)
% 1.59/1.31 % (31469)Instruction limit reached!
% 1.59/1.31 % (31469)------------------------------
% 1.59/1.31 % (31469)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.31 % (31469)Termination reason: Unknown
% 1.59/1.31 % (31469)Termination phase: Saturation
% 1.59/1.31
% 1.59/1.31 % (31469)Memory used [KB]: 5628
% 1.59/1.31 % (31469)Time elapsed: 0.014 s
% 1.59/1.31 % (31469)Instructions burned: 38 (million)
% 1.59/1.31 % (31469)------------------------------
% 1.59/1.31 % (31469)------------------------------
% 1.59/1.31 % (31471)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/3Mi)
% 1.59/1.31 % (31475)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/3Mi)
% 1.59/1.31 % (31471)Instruction limit reached!
% 1.59/1.31 % (31471)------------------------------
% 1.59/1.31 % (31471)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.31 % (31471)Termination reason: Unknown
% 1.59/1.31 % (31471)Termination phase: Saturation
% 1.59/1.31
% 1.59/1.31 % (31471)Memory used [KB]: 5500
% 1.59/1.31 % (31471)Time elapsed: 0.004 s
% 1.59/1.31 % (31471)Instructions burned: 3 (million)
% 1.59/1.31 % (31471)------------------------------
% 1.59/1.31 % (31471)------------------------------
% 1.59/1.31 % (31475)Instruction limit reached!
% 1.59/1.31 % (31475)------------------------------
% 1.59/1.31 % (31475)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.31 % (31475)Termination reason: Unknown
% 1.59/1.31 % (31475)Termination phase: Saturation
% 1.59/1.31
% 1.59/1.31 % (31475)Memory used [KB]: 5500
% 1.59/1.31 % (31475)Time elapsed: 0.002 s
% 1.59/1.31 % (31475)Instructions burned: 4 (million)
% 1.59/1.31 % (31475)------------------------------
% 1.59/1.31 % (31475)------------------------------
% 1.59/1.32 % (31473)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/7Mi)
% 1.59/1.32 % (31473)Instruction limit reached!
% 1.59/1.32 % (31473)------------------------------
% 1.59/1.32 % (31473)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.32 % (31473)Termination reason: Unknown
% 1.59/1.32 % (31473)Termination phase: Saturation
% 1.59/1.32
% 1.59/1.32 % (31473)Memory used [KB]: 1023
% 1.59/1.32 % (31473)Time elapsed: 0.005 s
% 1.59/1.32 % (31473)Instructions burned: 8 (million)
% 1.59/1.32 % (31473)------------------------------
% 1.59/1.32 % (31473)------------------------------
% 1.59/1.32 % (31476)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/3Mi)
% 1.59/1.32 % (31476)Instruction limit reached!
% 1.59/1.32 % (31476)------------------------------
% 1.59/1.32 % (31476)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.32 % (31476)Termination reason: Unknown
% 1.59/1.32 % (31476)Termination phase: Saturation
% 1.59/1.32
% 1.59/1.32 % (31476)Memory used [KB]: 1023
% 1.59/1.32 % (31476)Time elapsed: 0.003 s
% 1.59/1.32 % (31476)Instructions burned: 4 (million)
% 1.59/1.32 % (31476)------------------------------
% 1.59/1.32 % (31476)------------------------------
% 1.59/1.32 % (31474)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/16Mi)
% 1.59/1.32 % (31478)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/3Mi)
% 1.59/1.32 % (31478)Instruction limit reached!
% 1.59/1.32 % (31478)------------------------------
% 1.59/1.32 % (31478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.32 % (31478)Termination reason: Unknown
% 1.59/1.32 % (31478)Termination phase: Saturation
% 1.59/1.32
% 1.59/1.32 % (31478)Memory used [KB]: 5500
% 1.59/1.32 % (31478)Time elapsed: 0.002 s
% 1.59/1.32 % (31478)Instructions burned: 3 (million)
% 1.59/1.32 % (31478)------------------------------
% 1.59/1.32 % (31478)------------------------------
% 1.59/1.33 % (31480)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/18Mi)
% 1.59/1.33 % (31474)Instruction limit reached!
% 1.59/1.33 % (31474)------------------------------
% 1.59/1.33 % (31474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.33 % (31474)Termination reason: Unknown
% 1.59/1.33 % (31474)Termination phase: Saturation
% 1.59/1.33
% 1.59/1.33 % (31474)Memory used [KB]: 5628
% 1.59/1.33 % (31474)Time elapsed: 0.012 s
% 1.59/1.33 % (31474)Instructions burned: 16 (million)
% 1.59/1.33 % (31474)------------------------------
% 1.59/1.33 % (31474)------------------------------
% 1.59/1.33 % (31479)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/4Mi)
% 1.59/1.33 % (31477)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/7Mi)
% 1.59/1.33 % (31479)Instruction limit reached!
% 1.59/1.33 % (31479)------------------------------
% 1.59/1.33 % (31479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.33 % (31479)Termination reason: Unknown
% 1.59/1.33 % (31479)Termination phase: Saturation
% 1.59/1.33
% 1.59/1.33 % (31479)Memory used [KB]: 5500
% 1.59/1.33 % (31479)Time elapsed: 0.004 s
% 1.59/1.33 % (31479)Instructions burned: 4 (million)
% 1.59/1.33 % (31479)------------------------------
% 1.59/1.33 % (31479)------------------------------
% 1.59/1.33 % (31481)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/710Mi)
% 1.59/1.34 % (31477)Instruction limit reached!
% 1.59/1.34 % (31477)------------------------------
% 1.59/1.34 % (31477)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.34 % (31477)Termination reason: Unknown
% 1.59/1.34 % (31477)Termination phase: Saturation
% 1.59/1.34
% 1.59/1.34 % (31477)Memory used [KB]: 5500
% 1.59/1.34 % (31477)Time elapsed: 0.006 s
% 1.59/1.34 % (31477)Instructions burned: 7 (million)
% 1.59/1.34 % (31477)------------------------------
% 1.59/1.34 % (31477)------------------------------
% 1.59/1.34 % (31480)Instruction limit reached!
% 1.59/1.34 % (31480)------------------------------
% 1.59/1.34 % (31480)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.34 % (31480)Termination reason: Unknown
% 1.59/1.34 % (31480)Termination phase: Saturation
% 1.59/1.34
% 1.59/1.34 % (31480)Memory used [KB]: 5628
% 1.59/1.34 % (31480)Time elapsed: 0.008 s
% 1.59/1.34 % (31480)Instructions burned: 18 (million)
% 1.59/1.34 % (31480)------------------------------
% 1.59/1.34 % (31480)------------------------------
% 1.59/1.35 % (31483)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/902Mi)
% 1.59/1.35 % (31485)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/5Mi)
% 1.59/1.35 % (31483)Refutation not found, incomplete strategy
% 1.59/1.35 % (31483)------------------------------
% 1.59/1.35 % (31483)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.35 % (31483)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.35
% 1.59/1.35
% 1.59/1.35 % (31483)Memory used [KB]: 5500
% 1.59/1.35 % (31483)Time elapsed: 0.003 s
% 1.59/1.35 % (31483)Instructions burned: 3 (million)
% 1.59/1.35 % (31483)------------------------------
% 1.59/1.35 % (31483)------------------------------
% 1.59/1.35 % (31482)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/6Mi)
% 1.59/1.35 % (31485)Instruction limit reached!
% 1.59/1.35 % (31485)------------------------------
% 1.59/1.35 % (31485)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.35 % (31485)Termination reason: Unknown
% 1.59/1.35 % (31485)Termination phase: Saturation
% 1.59/1.35
% 1.59/1.35 % (31485)Memory used [KB]: 5500
% 1.59/1.35 % (31485)Time elapsed: 0.004 s
% 1.59/1.35 % (31485)Instructions burned: 6 (million)
% 1.59/1.35 % (31485)------------------------------
% 1.59/1.35 % (31485)------------------------------
% 1.59/1.35 % (31482)Instruction limit reached!
% 1.59/1.35 % (31482)------------------------------
% 1.59/1.35 % (31482)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.35 % (31482)Termination reason: Unknown
% 1.59/1.35 % (31482)Termination phase: Saturation
% 1.59/1.35
% 1.59/1.35 % (31482)Memory used [KB]: 5500
% 1.59/1.35 % (31482)Time elapsed: 0.006 s
% 1.59/1.35 % (31482)Instructions burned: 6 (million)
% 1.59/1.35 % (31482)------------------------------
% 1.59/1.35 % (31482)------------------------------
% 1.59/1.35 % (31484)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/21Mi)
% 1.59/1.36 % (31486)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/6Mi)
% 1.59/1.36 % (31486)Instruction limit reached!
% 1.59/1.36 % (31486)------------------------------
% 1.59/1.36 % (31486)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.36 % (31486)Termination reason: Unknown
% 1.59/1.36 % (31486)Termination phase: Saturation
% 1.59/1.36
% 1.59/1.36 % (31486)Memory used [KB]: 5500
% 1.59/1.36 % (31486)Time elapsed: 0.003 s
% 1.59/1.36 % (31486)Instructions burned: 6 (million)
% 1.59/1.36 % (31486)------------------------------
% 1.59/1.36 % (31486)------------------------------
% 1.59/1.36 % (31472)Refutation not found, incomplete strategy
% 1.59/1.36 % (31472)------------------------------
% 1.59/1.36 % (31472)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.36 % (31472)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.36
% 1.59/1.36
% 1.59/1.36 % (31472)Memory used [KB]: 6012
% 1.59/1.36 % (31472)Time elapsed: 0.057 s
% 1.59/1.36 % (31472)Instructions burned: 181 (million)
% 1.59/1.36 % (31472)------------------------------
% 1.59/1.36 % (31472)------------------------------
% 1.59/1.37 % (31484)Instruction limit reached!
% 1.59/1.37 % (31484)------------------------------
% 1.59/1.37 % (31484)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.37 % (31484)Termination reason: Unknown
% 1.59/1.37 % (31484)Termination phase: Saturation
% 1.59/1.37
% 1.59/1.37 % (31484)Memory used [KB]: 5628
% 1.59/1.37 % (31484)Time elapsed: 0.016 s
% 1.59/1.37 % (31484)Instructions burned: 21 (million)
% 1.59/1.37 % (31484)------------------------------
% 1.59/1.37 % (31484)------------------------------
% 1.59/1.37 % (31487)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/377Mi)
% 1.59/1.37 % (31491)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/879Mi)
% 1.59/1.37 % (31488)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/779Mi)
% 1.59/1.37 % (31489)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/19Mi)
% 1.59/1.38 % (31489)Refutation not found, incomplete strategy
% 1.59/1.38 % (31489)------------------------------
% 1.59/1.38 % (31489)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.38 % (31489)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.38
% 1.59/1.38
% 1.59/1.38 % (31489)Memory used [KB]: 5500
% 1.59/1.38 % (31489)Time elapsed: 0.009 s
% 1.59/1.38 % (31489)Instructions burned: 15 (million)
% 1.59/1.38 % (31489)------------------------------
% 1.59/1.38 % (31489)------------------------------
% 1.59/1.39 % (31496)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/17Mi)
% 1.59/1.39 % (31506)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_31272 for (2999ds/3Mi)
% 1.59/1.39 % (31496)Instruction limit reached!
% 1.59/1.39 % (31496)------------------------------
% 1.59/1.39 % (31496)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.39 % (31496)Termination reason: Unknown
% 1.59/1.39 % (31496)Termination phase: Saturation
% 1.59/1.39
% 1.59/1.39 % (31496)Memory used [KB]: 5628
% 1.59/1.39 % (31496)Time elapsed: 0.029 s
% 1.59/1.39 % (31496)Instructions burned: 19 (million)
% 1.59/1.39 % (31496)------------------------------
% 1.59/1.39 % (31496)------------------------------
% 1.59/1.39 % (31506)Instruction limit reached!
% 1.59/1.39 % (31506)------------------------------
% 1.59/1.39 % (31506)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.39 % (31506)Termination reason: Unknown
% 1.59/1.39 % (31506)Termination phase: Saturation
% 1.59/1.39
% 1.59/1.39 % (31506)Memory used [KB]: 1023
% 1.59/1.39 % (31506)Time elapsed: 0.003 s
% 1.59/1.39 % (31506)Instructions burned: 5 (million)
% 1.59/1.39 % (31506)------------------------------
% 1.59/1.39 % (31506)------------------------------
% 1.59/1.40 % (31508)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_31272 for (2998ds/30Mi)
% 1.59/1.40 % (31509)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_31272 for (2998ds/127Mi)
% 1.59/1.41 % (31461)Instruction limit reached!
% 1.59/1.41 % (31461)------------------------------
% 1.59/1.41 % (31461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.41 % (31461)Termination reason: Unknown
% 1.59/1.41 % (31461)Termination phase: Saturation
% 1.59/1.41
% 1.59/1.41 % (31461)Memory used [KB]: 6140
% 1.59/1.41 % (31461)Time elapsed: 0.115 s
% 1.59/1.41 % (31461)Instructions burned: 184 (million)
% 1.59/1.41 % (31461)------------------------------
% 1.59/1.41 % (31461)------------------------------
% 1.59/1.41 % (31508)Instruction limit reached!
% 1.59/1.41 % (31508)------------------------------
% 1.59/1.41 % (31508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.41 % (31508)Termination reason: Unknown
% 1.59/1.41 % (31508)Termination phase: Saturation
% 1.59/1.41
% 1.59/1.41 % (31508)Memory used [KB]: 5756
% 1.59/1.41 % (31508)Time elapsed: 0.034 s
% 1.59/1.41 % (31508)Instructions burned: 32 (million)
% 1.59/1.41 % (31508)------------------------------
% 1.59/1.41 % (31508)------------------------------
% 1.59/1.42 % (31510)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_31272 for (2998ds/100Mi)
% 1.59/1.42 % (31511)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_31272 for (2998ds/3Mi)
% 1.59/1.43 % (31511)Instruction limit reached!
% 1.59/1.43 % (31511)------------------------------
% 1.59/1.43 % (31511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.43 % (31511)Termination reason: Unknown
% 1.59/1.43 % (31511)Termination phase: Saturation
% 1.59/1.43
% 1.59/1.43 % (31511)Memory used [KB]: 5500
% 1.59/1.43 % (31511)Time elapsed: 0.003 s
% 1.59/1.43 % (31511)Instructions burned: 4 (million)
% 1.59/1.43 % (31511)------------------------------
% 1.59/1.43 % (31511)------------------------------
% 1.59/1.44 % (31512)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_31272 for (2998ds/20Mi)
% 1.59/1.44 % (31512)Instruction limit reached!
% 1.59/1.44 % (31512)------------------------------
% 1.59/1.44 % (31512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.44 % (31512)Termination reason: Unknown
% 1.59/1.44 % (31512)Termination phase: Saturation
% 1.59/1.44
% 1.59/1.44 % (31512)Memory used [KB]: 5628
% 1.59/1.44 % (31512)Time elapsed: 0.032 s
% 1.59/1.44 % (31512)Instructions burned: 20 (million)
% 1.59/1.44 % (31512)------------------------------
% 1.59/1.44 % (31512)------------------------------
% 1.59/1.45 % (31509)Instruction limit reached!
% 1.59/1.45 % (31509)------------------------------
% 1.59/1.45 % (31509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.45 % (31509)Termination reason: Unknown
% 1.59/1.45 % (31509)Termination phase: Saturation
% 1.59/1.45
% 1.59/1.45 % (31509)Memory used [KB]: 6268
% 1.59/1.45 % (31509)Time elapsed: 0.066 s
% 1.59/1.45 % (31509)Instructions burned: 130 (million)
% 1.59/1.45 % (31509)------------------------------
% 1.59/1.45 % (31509)------------------------------
% 1.59/1.45 % (31513)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_31272 for (2998ds/86Mi)
% 1.59/1.45 % (31510)Instruction limit reached!
% 1.59/1.45 % (31510)------------------------------
% 1.59/1.45 % (31510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.45 % (31510)Termination reason: Unknown
% 1.59/1.45 % (31510)Termination phase: Saturation
% 1.59/1.45
% 1.59/1.45 % (31510)Memory used [KB]: 5756
% 1.59/1.45 % (31510)Time elapsed: 0.057 s
% 1.59/1.45 % (31510)Instructions burned: 100 (million)
% 1.59/1.45 % (31510)------------------------------
% 1.59/1.45 % (31510)------------------------------
% 1.59/1.46 % (31514)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_31272 for (2998ds/107Mi)
% 1.59/1.46 % (31515)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_31272 for (2998ds/39Mi)
% 1.59/1.48 % (31515)Instruction limit reached!
% 1.59/1.48 % (31515)------------------------------
% 1.59/1.48 % (31515)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.48 % (31515)Termination reason: Unknown
% 1.59/1.48 % (31515)Termination phase: Saturation
% 1.59/1.48
% 1.59/1.48 % (31515)Memory used [KB]: 5756
% 1.59/1.48 % (31515)Time elapsed: 0.042 s
% 1.59/1.48 % (31515)Instructions burned: 41 (million)
% 1.59/1.48 % (31515)------------------------------
% 1.59/1.48 % (31515)------------------------------
% 1.59/1.49 % (31513)Instruction limit reached!
% 1.59/1.49 % (31513)------------------------------
% 1.59/1.49 % (31513)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.49 % (31513)Termination reason: Unknown
% 1.59/1.49 % (31513)Termination phase: Saturation
% 1.59/1.49
% 1.59/1.49 % (31513)Memory used [KB]: 5756
% 1.59/1.49 % (31513)Time elapsed: 0.058 s
% 1.59/1.49 % (31513)Instructions burned: 87 (million)
% 1.59/1.49 % (31513)------------------------------
% 1.59/1.49 % (31513)------------------------------
% 1.59/1.49 % (31516)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_31272 for (2997ds/448Mi)
% 1.59/1.49 % (31514)Instruction limit reached!
% 1.59/1.49 % (31514)------------------------------
% 1.59/1.49 % (31514)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.49 % (31514)Termination reason: Unknown
% 1.59/1.49 % (31514)Termination phase: Saturation
% 1.59/1.49
% 1.59/1.49 % (31514)Memory used [KB]: 5884
% 1.59/1.49 % (31514)Time elapsed: 0.063 s
% 1.59/1.49 % (31514)Instructions burned: 108 (million)
% 1.59/1.49 % (31514)------------------------------
% 1.59/1.49 % (31514)------------------------------
% 1.59/1.50 % (31518)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_31272 for (2997ds/98Mi)
% 1.59/1.50 % (31517)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_31272 for (2997ds/46Mi)
% 1.59/1.53 % (31518)Refutation not found, incomplete strategy
% 1.59/1.53 % (31518)------------------------------
% 1.59/1.53 % (31518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.53 % (31518)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.53
% 1.59/1.53
% 1.59/1.53 % (31518)Memory used [KB]: 1151
% 1.59/1.53 % (31518)Time elapsed: 0.023 s
% 1.59/1.53 % (31518)Instructions burned: 64 (million)
% 1.59/1.53 % (31518)------------------------------
% 1.59/1.53 % (31518)------------------------------
% 1.59/1.53 % (31487)Instruction limit reached!
% 1.59/1.53 % (31487)------------------------------
% 1.59/1.53 % (31487)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.53 % (31487)Termination reason: Unknown
% 1.59/1.53 % (31487)Termination phase: Saturation
% 1.59/1.53
% 1.59/1.53 % (31487)Memory used [KB]: 6140
% 1.59/1.53 % (31487)Time elapsed: 0.167 s
% 1.59/1.53 % (31487)Instructions burned: 380 (million)
% 1.59/1.53 % (31487)------------------------------
% 1.59/1.53 % (31487)------------------------------
% 1.59/1.53 % (31517)Instruction limit reached!
% 1.59/1.53 % (31517)------------------------------
% 1.59/1.53 % (31517)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.53 % (31517)Termination reason: Unknown
% 1.59/1.53 % (31517)Termination phase: Saturation
% 1.59/1.53
% 1.59/1.53 % (31517)Memory used [KB]: 5756
% 1.59/1.53 % (31517)Time elapsed: 0.032 s
% 1.59/1.53 % (31517)Instructions burned: 47 (million)
% 1.59/1.53 % (31517)------------------------------
% 1.59/1.53 % (31517)------------------------------
% 1.59/1.54 % (31520)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_31272 for (2997ds/507Mi)
% 1.59/1.54 % (31481)Instruction limit reached!
% 1.59/1.54 % (31481)------------------------------
% 1.59/1.54 % (31481)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.54 % (31481)Termination reason: Unknown
% 1.59/1.54 % (31481)Termination phase: Saturation
% 1.59/1.54
% 1.59/1.54 % (31481)Memory used [KB]: 7419
% 1.59/1.54 % (31481)Time elapsed: 0.204 s
% 1.59/1.54 % (31481)Instructions burned: 710 (million)
% 1.59/1.54 % (31481)------------------------------
% 1.59/1.54 % (31481)------------------------------
% 1.59/1.54 % (31520)Refutation not found, incomplete strategy
% 1.59/1.54 % (31520)------------------------------
% 1.59/1.54 % (31520)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.54 % (31520)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.54
% 1.59/1.54
% 1.59/1.54 % (31520)Memory used [KB]: 5500
% 1.59/1.54 % (31520)Time elapsed: 0.004 s
% 1.59/1.54 % (31520)Instructions burned: 6 (million)
% 1.59/1.54 % (31520)------------------------------
% 1.59/1.54 % (31520)------------------------------
% 1.59/1.54 % (31524)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_31272 for (2997ds/149Mi)
% 1.59/1.55 % (31528)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_31272 for (2997ds/6Mi)
% 1.59/1.55 % (31526)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_31272 for (2997ds/39Mi)
% 1.59/1.55 % (31530)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_31272 for (2997ds/1087Mi)
% 1.59/1.55 % (31528)Instruction limit reached!
% 1.59/1.55 % (31528)------------------------------
% 1.59/1.55 % (31528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.55 % (31528)Termination reason: Unknown
% 1.59/1.55 % (31528)Termination phase: Saturation
% 1.59/1.55
% 1.59/1.55 % (31528)Memory used [KB]: 9978
% 1.59/1.55 % (31528)Time elapsed: 0.004 s
% 1.59/1.55 % (31528)Instructions burned: 7 (million)
% 1.59/1.55 % (31528)------------------------------
% 1.59/1.55 % (31528)------------------------------
% 1.59/1.56 % (31537)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_31272 for (2997ds/47Mi)
% 1.59/1.56 % (31526)Instruction limit reached!
% 1.59/1.56 % (31526)------------------------------
% 1.59/1.56 % (31526)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.56 % (31526)Termination reason: Unknown
% 1.59/1.56 % (31526)Termination phase: Saturation
% 1.59/1.56
% 1.59/1.56 % (31526)Memory used [KB]: 5628
% 1.59/1.56 % (31526)Time elapsed: 0.016 s
% 1.59/1.56 % (31526)Instructions burned: 39 (million)
% 1.59/1.56 % (31526)------------------------------
% 1.59/1.56 % (31526)------------------------------
% 1.59/1.57 % (31545)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_31272 for (2997ds/44Mi)
% 1.59/1.57 % (31537)Instruction limit reached!
% 1.59/1.57 % (31537)------------------------------
% 1.59/1.57 % (31537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.57 % (31537)Termination reason: Unknown
% 1.59/1.57 % (31537)Termination phase: Saturation
% 1.59/1.57
% 1.59/1.57 % (31537)Memory used [KB]: 5756
% 1.59/1.57 % (31537)Time elapsed: 0.016 s
% 1.59/1.57 % (31537)Instructions burned: 49 (million)
% 1.59/1.57 % (31537)------------------------------
% 1.59/1.57 % (31537)------------------------------
% 1.59/1.58 % (31552)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_31272 for (2997ds/432Mi)
% 1.59/1.59 % (31545)Instruction limit reached!
% 1.59/1.59 % (31545)------------------------------
% 1.59/1.59 % (31545)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.59 % (31545)Termination reason: Unknown
% 1.59/1.59 % (31545)Termination phase: Saturation
% 1.59/1.59
% 1.59/1.59 % (31545)Memory used [KB]: 1279
% 1.59/1.59 % (31545)Time elapsed: 0.016 s
% 1.59/1.59 % (31545)Instructions burned: 44 (million)
% 1.59/1.59 % (31545)------------------------------
% 1.59/1.59 % (31545)------------------------------
% 1.59/1.59 % (31524)Instruction limit reached!
% 1.59/1.59 % (31524)------------------------------
% 1.59/1.59 % (31524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.59 % (31524)Termination reason: Unknown
% 1.59/1.59 % (31524)Termination phase: Saturation
% 1.59/1.59
% 1.59/1.59 % (31524)Memory used [KB]: 6140
% 1.59/1.59 % (31524)Time elapsed: 0.050 s
% 1.59/1.59 % (31524)Instructions burned: 150 (million)
% 1.59/1.59 % (31524)------------------------------
% 1.59/1.59 % (31524)------------------------------
% 1.59/1.60 % (31561)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_31272 for (2996ds/62Mi)
% 1.59/1.60 % (31564)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_31272 for (2996ds/31Mi)
% 1.59/1.61 % (31564)Instruction limit reached!
% 1.59/1.61 % (31564)------------------------------
% 1.59/1.61 % (31564)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.61 % (31564)Termination reason: Unknown
% 1.59/1.61 % (31564)Termination phase: Saturation
% 1.59/1.61
% 1.59/1.61 % (31564)Memory used [KB]: 5756
% 1.59/1.61 % (31564)Time elapsed: 0.013 s
% 1.59/1.61 % (31564)Instructions burned: 32 (million)
% 1.59/1.61 % (31564)------------------------------
% 1.59/1.61 % (31564)------------------------------
% 1.59/1.62 % (31488)Instruction limit reached!
% 1.59/1.62 % (31488)------------------------------
% 1.59/1.62 % (31488)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.62 % (31488)Termination reason: Unknown
% 1.59/1.62 % (31488)Termination phase: Saturation
% 1.59/1.62
% 1.59/1.62 % (31488)Memory used [KB]: 6908
% 1.59/1.62 % (31488)Time elapsed: 0.248 s
% 1.59/1.62 % (31561)Instruction limit reached!
% 1.59/1.62 % (31561)------------------------------
% 1.59/1.62 % (31561)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.62 % (31488)Instructions burned: 781 (million)
% 1.59/1.62 % (31488)------------------------------
% 1.59/1.62 % (31488)------------------------------
% 1.59/1.62 % (31561)Termination reason: Unknown
% 1.59/1.62 % (31561)Termination phase: Saturation
% 1.59/1.62
% 1.59/1.62 % (31561)Memory used [KB]: 5884
% 1.59/1.62 % (31561)Time elapsed: 0.022 s
% 1.59/1.62 % (31561)Instructions burned: 63 (million)
% 1.59/1.62 % (31561)------------------------------
% 1.59/1.62 % (31561)------------------------------
% 1.59/1.62 % (31574)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_31272 for (2996ds/96Mi)
% 1.59/1.63 % (31577)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_31272 for (2996ds/453Mi)
% 1.59/1.63 % (31578)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_31272 for (2996ds/71Mi)
% 1.59/1.63 % (31491)Instruction limit reached!
% 1.59/1.63 % (31491)------------------------------
% 1.59/1.63 % (31491)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.63 % (31491)Termination reason: Unknown
% 1.59/1.63 % (31491)Termination phase: Saturation
% 1.59/1.63
% 1.59/1.63 % (31516)Instruction limit reached!
% 1.59/1.63 % (31516)------------------------------
% 1.59/1.63 % (31516)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.63 % (31491)Memory used [KB]: 7036
% 1.59/1.63 % (31516)Termination reason: Unknown
% 1.59/1.63 % (31491)Time elapsed: 0.261 s
% 1.59/1.63 % (31516)Termination phase: Saturation
% 1.59/1.63 % (31491)Instructions burned: 881 (million)
% 1.59/1.63
% 1.59/1.63 % (31491)------------------------------
% 1.59/1.63 % (31491)------------------------------
% 1.59/1.63 % (31516)Memory used [KB]: 6140
% 1.59/1.63 % (31516)Time elapsed: 0.143 s
% 1.59/1.63 % (31516)Instructions burned: 449 (million)
% 1.59/1.63 % (31516)------------------------------
% 1.59/1.63 % (31516)------------------------------
% 1.59/1.64 % (31577)Refutation not found, incomplete strategy
% 1.59/1.64 % (31577)------------------------------
% 1.59/1.64 % (31577)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.64 % (31577)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.64
% 1.59/1.64
% 1.59/1.64 % (31577)Memory used [KB]: 5628
% 1.59/1.64 % (31577)Time elapsed: 0.010 s
% 1.59/1.64 % (31577)Instructions burned: 23 (million)
% 1.59/1.64 % (31577)------------------------------
% 1.59/1.64 % (31577)------------------------------
% 1.59/1.64 % (31586)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_31272 for (2996ds/83Mi)
% 1.59/1.64 % (31587)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_31272 for (2996ds/11Mi)
% 1.59/1.64 % (31587)Refutation not found, incomplete strategy
% 1.59/1.64 % (31587)------------------------------
% 1.59/1.64 % (31587)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.64 % (31587)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.64
% 1.59/1.64
% 1.59/1.64 % (31587)Memory used [KB]: 5500
% 1.59/1.64 % (31587)Time elapsed: 0.003 s
% 1.59/1.64 % (31587)Instructions burned: 3 (million)
% 1.59/1.64 % (31587)------------------------------
% 1.59/1.64 % (31587)------------------------------
% 1.59/1.65 % (31590)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_31272 for (2996ds/41Mi)
% 1.59/1.65 % (31590)Refutation not found, incomplete strategy
% 1.59/1.65 % (31590)------------------------------
% 1.59/1.65 % (31590)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.65 % (31590)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.65
% 1.59/1.65
% 1.59/1.65 % (31590)Memory used [KB]: 5500
% 1.59/1.65 % (31590)Time elapsed: 0.003 s
% 1.59/1.65 % (31590)Instructions burned: 4 (million)
% 1.59/1.65 % (31590)------------------------------
% 1.59/1.65 % (31590)------------------------------
% 1.59/1.65 % (31578)Instruction limit reached!
% 1.59/1.65 % (31578)------------------------------
% 1.59/1.65 % (31578)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.65 % (31578)Termination reason: Unknown
% 1.59/1.65 % (31578)Termination phase: Saturation
% 1.59/1.65
% 1.59/1.65 % (31578)Memory used [KB]: 5756
% 1.59/1.65 % (31578)Time elapsed: 0.027 s
% 1.59/1.65 % (31578)Instructions burned: 72 (million)
% 1.59/1.65 % (31578)------------------------------
% 1.59/1.65 % (31578)------------------------------
% 1.59/1.65 % (31593)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_31272 for (2996ds/6Mi)
% 1.59/1.65 % (31574)Instruction limit reached!
% 1.59/1.65 % (31574)------------------------------
% 1.59/1.65 % (31574)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.65 % (31574)Termination reason: Unknown
% 1.59/1.65 % (31574)Termination phase: Saturation
% 1.59/1.65
% 1.59/1.65 % (31574)Memory used [KB]: 5884
% 1.59/1.65 % (31574)Time elapsed: 0.033 s
% 1.59/1.65 % (31574)Instructions burned: 98 (million)
% 1.59/1.65 % (31574)------------------------------
% 1.59/1.65 % (31574)------------------------------
% 1.59/1.66 % (31593)Instruction limit reached!
% 1.59/1.66 % (31593)------------------------------
% 1.59/1.66 % (31593)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.66 % (31593)Termination reason: Unknown
% 1.59/1.66 % (31593)Termination phase: Saturation
% 1.59/1.66
% 1.59/1.66 % (31593)Memory used [KB]: 5500
% 1.59/1.66 % (31593)Time elapsed: 0.004 s
% 1.59/1.66 % (31593)Instructions burned: 6 (million)
% 1.59/1.66 % (31593)------------------------------
% 1.59/1.66 % (31593)------------------------------
% 1.59/1.66 % (31595)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_31272 for (2996ds/150Mi)
% 1.59/1.66 % (31596)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_31272 for (2996ds/343Mi)
% 1.59/1.66 % (31597)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_31272 for (2996ds/109Mi)
% 1.59/1.66 % (31586)Instruction limit reached!
% 1.59/1.66 % (31586)------------------------------
% 1.59/1.66 % (31586)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.66 % (31586)Termination reason: Unknown
% 1.59/1.66 % (31586)Termination phase: Saturation
% 1.59/1.66
% 1.59/1.66 % (31586)Memory used [KB]: 5756
% 1.59/1.66 % (31586)Time elapsed: 0.026 s
% 1.59/1.66 % (31586)Instructions burned: 84 (million)
% 1.59/1.66 % (31586)------------------------------
% 1.59/1.66 % (31586)------------------------------
% 1.59/1.67 % (31599)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_31272 for (2996ds/253Mi)
% 1.59/1.67 % (31530)First to succeed.
% 1.59/1.67 % (31530)Refutation found. Thanks to Tanya!
% 1.59/1.67 % SZS status Theorem for DTF2THF_31272
% 1.59/1.67 % SZS output start Proof for DTF2THF_31272
% 1.59/1.67 thf(type_def_5, type, a: $tType).
% 1.59/1.67 thf(func_def_0, type, a: $tType).
% 1.59/1.67 thf(func_def_4, type, sP0: (a > a > $o) > $o).
% 1.59/1.67 thf(func_def_5, type, sP1: a > a > (a > a > $o) > $o).
% 1.59/1.67 thf(func_def_6, type, sP2: (a > a > $o) > a > a > $o).
% 1.59/1.67 thf(func_def_7, type, sK3: a > a > (a > a > $o) > a > a > $o).
% 1.59/1.67 thf(func_def_8, type, sK4: (a > a > $o) > (a > a > $o) > a).
% 1.59/1.67 thf(func_def_9, type, sK5: (a > a > $o) > (a > a > $o) > a).
% 1.59/1.67 thf(func_def_10, type, sK6: (a > a > $o) > a).
% 1.59/1.67 thf(func_def_11, type, sK7: (a > a > $o) > a).
% 1.59/1.67 thf(func_def_12, type, sK8: a > a > $o).
% 1.59/1.67 thf(func_def_13, type, sK9: a).
% 1.59/1.67 thf(func_def_14, type, sK10: a).
% 1.59/1.67 thf(func_def_16, type, ph12: !>[X0: $tType]:(X0)).
% 1.59/1.67 thf(f1271,plain,(
% 1.59/1.67 $false),
% 1.59/1.67 inference(avatar_sat_refutation,[status(thm)],[f47,f50,f328,f335,f438,f1270])).
% 1.59/1.67 thf(f1270,plain,(
% 1.59/1.67 ~spl11_1 | spl11_2),
% 1.59/1.67 inference(avatar_contradiction_clause,[status(thm)],[f1269])).
% 1.59/1.67 thf(f1269,plain,(
% 1.59/1.67 $false | (~spl11_1 | spl11_2)),
% 1.59/1.67 inference(subsumption_resolution,[status(thm)],[f1268,f48])).
% 1.59/1.67 thf(f48,plain,(
% 1.59/1.67 ($true != (sP2 @ sK8 @ sK9 @ sK10)) | spl11_2),
% 1.59/1.67 inference(avatar_component_clause,[status(thm)],[f45])).
% 1.59/1.67 thf(f45,definition,(
% 1.59/1.67 spl11_2 <=> ($true = (sP2 @ sK8 @ sK9 @ sK10))),
% 1.59/1.67 introduced(definition,[new_symbols(naming,[spl11_2])],[avatar_definition])).
% 1.59/1.67 thf(f1268,plain,(
% 1.59/1.67 ($true = (sP2 @ sK8 @ sK9 @ sK10)) | (~spl11_1 | spl11_2)),
% 1.59/1.67 inference(trivial_inequality_removal,[status(thm)],[f1265])).
% 1.59/1.67 thf(f1265,plain,(
% 1.59/1.67 ($true = (sP2 @ sK8 @ sK9 @ sK10)) | ($true != $true) | (~spl11_1 | spl11_2)),
% 1.59/1.67 inference(superposition,[status(thm)],[f1262,f43])).
% 1.59/1.67 thf(f43,plain,(
% 1.59/1.67 ((sP1 @ sK9 @ sK10 @ sK8) = $true) | ~spl11_1),
% 1.59/1.67 inference(avatar_component_clause,[status(thm)],[f42])).
% 1.59/1.67 thf(f42,definition,(
% 1.59/1.67 spl11_1 <=> ((sP1 @ sK9 @ sK10 @ sK8) = $true)),
% 1.59/1.67 introduced(definition,[new_symbols(naming,[spl11_1])],[avatar_definition])).
% 1.59/1.67 thf(f1262,plain,(
% 1.59/1.67 ( ! [X0 : a,X1 : a] : (($true != (sP1 @ X0 @ X1 @ sK8)) | ((sP2 @ sK8 @ X0 @ X1) = $true)) ) | (~spl11_1 | spl11_2)),
% 1.59/1.67 inference(subsumption_resolution,[status(thm)],[f1260,f48])).
% 1.59/1.67 thf(f1260,plain,(
% 1.59/1.67 ( ! [X0 : a,X1 : a] : (($true = (sP2 @ sK8 @ sK9 @ sK10)) | ((sP2 @ sK8 @ X0 @ X1) = $true) | ($true != (sP1 @ X0 @ X1 @ sK8))) ) | ~spl11_1),
% 1.59/1.67 inference(trivial_inequality_removal,[status(thm)],[f1258])).
% 1.59/1.67 thf(f1258,plain,(
% 1.59/1.67 ( ! [X0 : a,X1 : a] : (((sP2 @ sK8 @ X0 @ X1) = $true) | ($true = (sP2 @ sK8 @ sK9 @ sK10)) | ($true != $true) | ($true != (sP1 @ X0 @ X1 @ sK8))) ) | ~spl11_1),
% 1.59/1.67 inference(superposition,[status(thm)],[f683,f43])).
% 1.59/1.67 thf(f683,plain,(
% 1.59/1.67 ( ! [X2 : a,X3 : a,X0 : a > a > $o,X1 : a,X4 : a] : (((sP1 @ X3 @ X4 @ X0) != $true) | ($true = (sP2 @ X0 @ X3 @ X4)) | ($true = (sP2 @ X0 @ X1 @ X2)) | ((sP1 @ X1 @ X2 @ X0) != $true)) )),
% 1.59/1.67 inference(subsumption_resolution,[status(thm)],[f677,f483])).
% 1.59/1.67 thf(f483,plain,(
% 1.59/1.67 ( ! [X0 : a > a > $o] : (($true != (sP0 @ (sP2 @ X0)))) )),
% 1.59/1.67 inference(subsumption_resolution,[status(thm)],[f482,f81])).
% 1.59/1.67 thf(f81,plain,(
% 1.59/1.67 ( ! [X0 : a > a > $o] : (($true != (X0 @ (sK6 @ (sP2 @ X0)) @ (sK7 @ (sP2 @ X0)))) | ($true != (sP0 @ (sP2 @ X0)))) )),
% 1.59/1.67 inference(trivial_inequality_removal,[status(thm)],[f74])).
% 1.59/1.67 thf(f74,plain,(
% 1.59/1.67 ( ! [X0 : a > a > $o] : (($true != (sP0 @ (sP2 @ X0))) | ($true != $true) | ($true != (X0 @ (sK6 @ (sP2 @ X0)) @ (sK7 @ (sP2 @ X0))))) )),
% 1.59/1.67 inference(superposition,[status(thm)],[f36,f30])).
% 1.59/1.67 thf(f30,plain,(
% 1.59/1.67 ( ! [X2 : a > a > $o,X0 : a,X1 : a] : (($true = (sP2 @ X2 @ X1 @ X0)) | ($true != (X2 @ X1 @ X0))) )),
% 1.59/1.67 inference(cnf_transformation,[status(thm)],[f14])).
% 1.59/1.67 thf(f14,plain,(
% 1.59/1.67 ! [X0 : a,X1 : a,X2 : a > a > $o] : ((($true = (sP2 @ X2 @ X1 @ X0)) | (($true != (X2 @ X1 @ X0)) & ($true != (X2 @ X0 @ X1)))) & (($true = (X2 @ X1 @ X0)) | ($true = (X2 @ X0 @ X1)) | ($true != (sP2 @ X2 @ X1 @ X0))))),
% 1.59/1.67 inference(rectify,[status(thm)],[f13])).
% 1.59/1.67 thf(f13,plain,(
% 1.59/1.67 ! [X2 : a,X0 : a,X1 : a > a > $o] : ((((sP2 @ X1 @ X0 @ X2) = $true) | (((X1 @ X0 @ X2) != $true) & ((X1 @ X2 @ X0) != $true))) & (((X1 @ X0 @ X2) = $true) | ((X1 @ X2 @ X0) = $true) | ((sP2 @ X1 @ X0 @ X2) != $true)))),
% 1.59/1.67 inference(flattening,[status(thm)],[f12])).
% 1.59/1.67 thf(f12,plain,(
% 1.59/1.67 ! [X2 : a,X0 : a,X1 : a > a > $o] : ((((sP2 @ X1 @ X0 @ X2) = $true) | (((X1 @ X0 @ X2) != $true) & ((X1 @ X2 @ X0) != $true))) & ((((X1 @ X0 @ X2) = $true) | ((X1 @ X2 @ X0) = $true)) | ((sP2 @ X1 @ X0 @ X2) != $true)))),
% 1.59/1.67 inference(nnf_transformation,[status(thm)],[f10])).
% 1.59/1.67 thf(f10,plain,(
% 1.59/1.67 ! [X2 : a,X0 : a,X1 : a > a > $o] : (((sP2 @ X1 @ X0 @ X2) = $true) <=> (((X1 @ X0 @ X2) = $true) | ((X1 @ X2 @ X0) = $true)))),
% 1.59/1.67 introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 1.59/1.67 thf(f36,plain,(
% 1.59/1.67 ( ! [X0 : a > a > $o] : (($true != (X0 @ (sK6 @ X0) @ (sK7 @ X0))) | ((sP0 @ X0) != $true)) )),
% 1.59/1.67 inference(cnf_transformation,[status(thm)],[f23])).
% 1.59/1.67 thf(f23,plain,(
% 1.59/1.67 ! [X0 : a > a > $o] : ((((sP0 @ X0) = $true) | ! [X1 : a,X2 : a] : (((X0 @ X2 @ X1) != $true) | ((X0 @ X1 @ X2) = $true))) & ((((X0 @ (sK7 @ X0) @ (sK6 @ X0)) = $true) & ($true != (X0 @ (sK6 @ X0) @ (sK7 @ X0)))) | ((sP0 @ X0) != $true)))),
% 1.59/1.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f21,f22])).
% 1.59/1.67 thf(f22,plain,(
% 1.59/1.67 ! [X0 : a > a > $o] : (? [X3 : a,X4 : a] : (((X0 @ X4 @ X3) = $true) & ($true != (X0 @ X3 @ X4))) => (((X0 @ (sK7 @ X0) @ (sK6 @ X0)) = $true) & ($true != (X0 @ (sK6 @ X0) @ (sK7 @ X0)))))),
% 1.59/1.67 introduced(definition,[],[choice_axiom])).
% 1.59/1.67 thf(f21,plain,(
% 1.59/1.67 ! [X0 : a > a > $o] : ((((sP0 @ X0) = $true) | ! [X1 : a,X2 : a] : (((X0 @ X2 @ X1) != $true) | ((X0 @ X1 @ X2) = $true))) & (? [X3 : a,X4 : a] : (((X0 @ X4 @ X3) = $true) & ($true != (X0 @ X3 @ X4))) | ((sP0 @ X0) != $true)))),
% 1.59/1.67 inference(rectify,[status(thm)],[f20])).
% 1.59/1.67 thf(f20,plain,(
% 1.59/1.67 ! [X3 : a > a > $o] : ((($true = (sP0 @ X3)) | ! [X4 : a,X5 : a] : (((X3 @ X5 @ X4) != $true) | ((X3 @ X4 @ X5) = $true))) & (? [X4 : a,X5 : a] : (((X3 @ X5 @ X4) = $true) & ((X3 @ X4 @ X5) != $true)) | ($true != (sP0 @ X3))))),
% 1.59/1.67 inference(nnf_transformation,[status(thm)],[f8])).
% 1.59/1.67 thf(f8,plain,(
% 1.59/1.67 ! [X3 : a > a > $o] : (($true = (sP0 @ X3)) <=> ? [X4 : a,X5 : a] : (((X3 @ X5 @ X4) = $true) & ((X3 @ X4 @ X5) != $true)))),
% 1.59/1.67 introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 1.59/1.67 thf(f482,plain,(
% 1.59/1.67 ( ! [X0 : a > a > $o] : (($true != (sP0 @ (sP2 @ X0))) | ($true = (X0 @ (sK6 @ (sP2 @ X0)) @ (sK7 @ (sP2 @ X0))))) )),
% 1.59/1.67 inference(subsumption_resolution,[status(thm)],[f128,f82])).
% 1.59/1.67 thf(f82,plain,(
% 1.59/1.67 ( ! [X0 : a > a > $o] : (($true != (X0 @ (sK7 @ (sP2 @ X0)) @ (sK6 @ (sP2 @ X0)))) | ($true != (sP0 @ (sP2 @ X0)))) )),
% 1.59/1.67 inference(trivial_inequality_removal,[status(thm)],[f75])).
% 1.59/1.67 thf(f75,plain,(
% 1.59/1.67 ( ! [X0 : a > a > $o] : (($true != (X0 @ (sK7 @ (sP2 @ X0)) @ (sK6 @ (sP2 @ X0)))) | ($true != (sP0 @ (sP2 @ X0))) | ($true != $true)) )),
% 1.59/1.67 inference(superposition,[status(thm)],[f36,f29])).
% 1.59/1.67 thf(f29,plain,(
% 1.59/1.67 ( ! [X2 : a > a > $o,X0 : a,X1 : a] : (($true = (sP2 @ X2 @ X1 @ X0)) | ($true != (X2 @ X0 @ X1))) )),
% 1.59/1.67 inference(cnf_transformation,[status(thm)],[f14])).
% 1.59/1.67 thf(f128,plain,(
% 1.59/1.67 ( ! [X0 : a > a > $o] : (($true = (X0 @ (sK7 @ (sP2 @ X0)) @ (sK6 @ (sP2 @ X0)))) | ($true != (sP0 @ (sP2 @ X0))) | ($true = (X0 @ (sK6 @ (sP2 @ X0)) @ (sK7 @ (sP2 @ X0))))) )),
% 1.59/1.67 inference(trivial_inequality_removal,[status(thm)],[f125])).
% 1.59/1.67 thf(f125,plain,(
% 1.59/1.67 ( ! [X0 : a > a > $o] : (($true != (sP0 @ (sP2 @ X0))) | ($true = (X0 @ (sK7 @ (sP2 @ X0)) @ (sK6 @ (sP2 @ X0)))) | ($true != $true) | ($true = (X0 @ (sK6 @ (sP2 @ X0)) @ (sK7 @ (sP2 @ X0))))) )),
% 1.59/1.67 inference(superposition,[status(thm)],[f28,f37])).
% 1.59/1.67 thf(f37,plain,(
% 1.59/1.67 ( ! [X0 : a > a > $o] : (((X0 @ (sK7 @ X0) @ (sK6 @ X0)) = $true) | ((sP0 @ X0) != $true)) )),
% 1.59/1.67 inference(cnf_transformation,[status(thm)],[f23])).
% 1.59/1.67 thf(f28,plain,(
% 1.59/1.67 ( ! [X2 : a > a > $o,X0 : a,X1 : a] : (($true != (sP2 @ X2 @ X1 @ X0)) | ($true = (X2 @ X0 @ X1)) | ($true = (X2 @ X1 @ X0))) )),
% 1.59/1.67 inference(cnf_transformation,[status(thm)],[f14])).
% 1.59/1.67 thf(f677,plain,(
% 1.59/1.67 ( ! [X2 : a,X3 : a,X0 : a > a > $o,X1 : a,X4 : a] : (((sP1 @ X3 @ X4 @ X0) != $true) | ($true = (sP2 @ X0 @ X1 @ X2)) | ($true = (sP2 @ X0 @ X3 @ X4)) | ((sP1 @ X1 @ X2 @ X0) != $true) | ($true = (sP0 @ (sP2 @ X0)))) )),
% 1.59/1.67 inference(trivial_inequality_removal,[status(thm)],[f664])).
% 1.59/1.67 thf(f664,plain,(
% 1.59/1.67 ( ! [X2 : a,X3 : a,X0 : a > a > $o,X1 : a,X4 : a] : (((sP1 @ X1 @ X2 @ X0) != $true) | ($true = (sP2 @ X0 @ X3 @ X4)) | ($true = (sP0 @ (sP2 @ X0))) | ($true = (sP2 @ X0 @ X1 @ X2)) | ($true != $true) | ((sP1 @ X3 @ X4 @ X0) != $true)) )),
% 1.59/1.67 inference(superposition,[status(thm)],[f652,f31])).
% 1.59/1.67 thf(f31,plain,(
% 1.59/1.67 ( ! [X2 : a,X0 : a > a > $o,X1 : a,X6 : a > a > $o] : (($true = (X0 @ (sK5 @ X6 @ X0) @ (sK4 @ X6 @ X0))) | ($true = (sP0 @ X6)) | ((sP1 @ X2 @ X1 @ X0) != $true) | ((X6 @ X2 @ X1) = $true)) )),
% 1.59/1.67 inference(cnf_transformation,[status(thm)],[f19])).
% 1.59/1.67 thf(f19,plain,(
% 1.59/1.67 ! [X0 : a > a > $o,X1 : a,X2 : a] : ((((sP1 @ X2 @ X1 @ X0) = $true) | (! [X4 : a,X5 : a] : (($true = (sK3 @ X2 @ X1 @ X0 @ X5 @ X4)) | ($true != (X0 @ X5 @ X4))) & ((sP0 @ (sK3 @ X2 @ X1 @ X0)) != $true) & ($true != (sK3 @ X2 @ X1 @ X0 @ X2 @ X1)))) & (! [X6 : a > a > $o] : ((($true != (X6 @ (sK5 @ X6 @ X0) @ (sK4 @ X6 @ X0))) & ($true = (X0 @ (sK5 @ X6 @ X0) @ (sK4 @ X6 @ X0)))) | ($true = (sP0 @ X6)) | ((X6 @ X2 @ X1) = $true)) | ((sP1 @ X2 @ X1 @ X0) != $true)))),
% 1.59/1.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f16,f18,f17])).
% 1.59/1.67 thf(f17,plain,(
% 1.59/1.67 ! [X0 : a > a > $o,X1 : a,X2 : a] : (? [X3 : a > a > $o] : (! [X4 : a,X5 : a] : (((X3 @ X5 @ X4) = $true) | ($true != (X0 @ X5 @ X4))) & ($true != (sP0 @ X3)) & ($true != (X3 @ X2 @ X1))) => (! [X5 : a,X4 : a] : (($true = (sK3 @ X2 @ X1 @ X0 @ X5 @ X4)) | ($true != (X0 @ X5 @ X4))) & ((sP0 @ (sK3 @ X2 @ X1 @ X0)) != $true) & ($true != (sK3 @ X2 @ X1 @ X0 @ X2 @ X1))))),
% 1.59/1.67 introduced(definition,[],[choice_axiom])).
% 1.59/1.67 thf(f18,plain,(
% 1.59/1.67 ! [X0 : a > a > $o,X6 : a > a > $o] : (? [X7 : a,X8 : a] : (($true != (X6 @ X8 @ X7)) & ((X0 @ X8 @ X7) = $true)) => (($true != (X6 @ (sK5 @ X6 @ X0) @ (sK4 @ X6 @ X0))) & ($true = (X0 @ (sK5 @ X6 @ X0) @ (sK4 @ X6 @ X0)))))),
% 1.59/1.67 introduced(definition,[],[choice_axiom])).
% 1.59/1.67 thf(f16,plain,(
% 1.59/1.67 ! [X0 : a > a > $o,X1 : a,X2 : a] : ((((sP1 @ X2 @ X1 @ X0) = $true) | ? [X3 : a > a > $o] : (! [X4 : a,X5 : a] : (((X3 @ X5 @ X4) = $true) | ($true != (X0 @ X5 @ X4))) & ($true != (sP0 @ X3)) & ($true != (X3 @ X2 @ X1)))) & (! [X6 : a > a > $o] : (? [X7 : a,X8 : a] : (($true != (X6 @ X8 @ X7)) & ((X0 @ X8 @ X7) = $true)) | ($true = (sP0 @ X6)) | ((X6 @ X2 @ X1) = $true)) | ((sP1 @ X2 @ X1 @ X0) != $true)))),
% 1.59/1.67 inference(rectify,[status(thm)],[f15])).
% 1.59/1.67 thf(f15,plain,(
% 1.59/1.67 ! [X1 : a > a > $o,X2 : a,X0 : a] : ((($true = (sP1 @ X0 @ X2 @ X1)) | ? [X3 : a > a > $o] : (! [X6 : a,X7 : a] : (($true = (X3 @ X7 @ X6)) | ($true != (X1 @ X7 @ X6))) & ($true != (sP0 @ X3)) & ($true != (X3 @ X0 @ X2)))) & (! [X3 : a > a > $o] : (? [X6 : a,X7 : a] : (($true != (X3 @ X7 @ X6)) & ($true = (X1 @ X7 @ X6))) | ($true = (sP0 @ X3)) | ($true = (X3 @ X0 @ X2))) | ($true != (sP1 @ X0 @ X2 @ X1))))),
% 1.59/1.67 inference(nnf_transformation,[status(thm)],[f9])).
% 1.59/1.67 thf(f9,plain,(
% 1.59/1.67 ! [X1 : a > a > $o,X2 : a,X0 : a] : (($true = (sP1 @ X0 @ X2 @ X1)) <=> ! [X3 : a > a > $o] : (? [X6 : a,X7 : a] : (($true != (X3 @ X7 @ X6)) & ($true = (X1 @ X7 @ X6))) | ($true = (sP0 @ X3)) | ($true = (X3 @ X0 @ X2))))),
% 1.59/1.67 introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 1.59/1.67 thf(f652,plain,(
% 1.59/1.67 ( ! [X2 : a,X3 : a,X0 : a > a > $o,X1 : a > a > $o] : (((X0 @ (sK5 @ (sP2 @ X0) @ X1) @ (sK4 @ (sP2 @ X0) @ X1)) != $true) | ((sP1 @ X2 @ X3 @ X1) != $true) | ($true = (sP2 @ X0 @ X2 @ X3))) )),
% 1.59/1.67 inference(subsumption_resolution,[status(thm)],[f207,f483])).
% 1.59/1.67 thf(f207,plain,(
% 1.59/1.67 ( ! [X2 : a,X3 : a,X0 : a > a > $o,X1 : a > a > $o] : (($true = (sP2 @ X0 @ X2 @ X3)) | ((X0 @ (sK5 @ (sP2 @ X0) @ X1) @ (sK4 @ (sP2 @ X0) @ X1)) != $true) | ($true = (sP0 @ (sP2 @ X0))) | ((sP1 @ X2 @ X3 @ X1) != $true)) )),
% 1.59/1.67 inference(trivial_inequality_removal,[status(thm)],[f198])).
% 1.59/1.67 thf(f198,plain,(
% 1.59/1.67 ( ! [X2 : a,X3 : a,X0 : a > a > $o,X1 : a > a > $o] : (((X0 @ (sK5 @ (sP2 @ X0) @ X1) @ (sK4 @ (sP2 @ X0) @ X1)) != $true) | ($true != $true) | ($true = (sP2 @ X0 @ X2 @ X3)) | ($true = (sP0 @ (sP2 @ X0))) | ((sP1 @ X2 @ X3 @ X1) != $true)) )),
% 1.59/1.67 inference(superposition,[status(thm)],[f32,f30])).
% 1.59/1.67 thf(f32,plain,(
% 1.59/1.67 ( ! [X2 : a,X0 : a > a > $o,X1 : a,X6 : a > a > $o] : (($true != (X6 @ (sK5 @ X6 @ X0) @ (sK4 @ X6 @ X0))) | ($true = (sP0 @ X6)) | ((X6 @ X2 @ X1) = $true) | ((sP1 @ X2 @ X1 @ X0) != $true)) )),
% 1.59/1.67 inference(cnf_transformation,[status(thm)],[f19])).
% 1.59/1.67 thf(f438,plain,(
% 1.59/1.67 spl11_1 | ~spl11_7),
% 1.59/1.67 inference(avatar_contradiction_clause,[status(thm)],[f437])).
% 1.59/1.67 thf(f437,plain,(
% 1.59/1.67 $false | (spl11_1 | ~spl11_7)),
% 1.59/1.67 inference(subsumption_resolution,[status(thm)],[f332,f132])).
% 1.59/1.67 thf(f132,plain,(
% 1.59/1.67 ((sK8 @ sK10 @ sK9) = $true) | ~spl11_7),
% 1.59/1.67 inference(avatar_component_clause,[status(thm)],[f131])).
% 1.59/1.67 thf(f131,definition,(
% 1.59/1.67 spl11_7 <=> ((sK8 @ sK10 @ sK9) = $true)),
% 1.59/1.67 introduced(definition,[new_symbols(naming,[spl11_7])],[avatar_definition])).
% 1.59/1.67 thf(f332,plain,(
% 1.59/1.67 ((sK8 @ sK10 @ sK9) != $true) | spl11_1),
% 1.59/1.67 inference(trivial_inequality_removal,[status(thm)],[f329])).
% 1.59/1.67 thf(f329,plain,(
% 1.59/1.67 ((sK8 @ sK10 @ sK9) != $true) | ($true != $true) | spl11_1),
% 1.59/1.67 inference(superposition,[status(thm)],[f49,f303])).
% 1.59/1.67 thf(f303,plain,(
% 1.59/1.67 ( ! [X2 : a > a > $o,X0 : a,X1 : a] : (($true = (sP1 @ X0 @ X1 @ X2)) | ($true != (X2 @ X1 @ X0))) )),
% 1.59/1.67 inference(trivial_inequality_removal,[status(thm)],[f302])).
% 1.59/1.67 thf(f302,plain,(
% 1.59/1.67 ( ! [X2 : a > a > $o,X0 : a,X1 : a] : (($true = (sP1 @ X0 @ X1 @ X2)) | ($true != $true) | ($true != (X2 @ X1 @ X0))) )),
% 1.59/1.67 inference(duplicate_literal_removal,[status(thm)],[f299])).
% 1.59/1.67 thf(f299,plain,(
% 1.59/1.67 ( ! [X2 : a > a > $o,X0 : a,X1 : a] : (($true != (X2 @ X1 @ X0)) | ($true != $true) | ($true = (sP1 @ X0 @ X1 @ X2)) | ($true = (sP1 @ X0 @ X1 @ X2))) )),
% 1.59/1.67 inference(superposition,[status(thm)],[f160,f35])).
% 1.59/1.67 thf(f35,plain,(
% 1.59/1.67 ( ! [X2 : a,X0 : a > a > $o,X1 : a,X4 : a,X5 : a] : (($true = (sK3 @ X2 @ X1 @ X0 @ X5 @ X4)) | ($true != (X0 @ X5 @ X4)) | ((sP1 @ X2 @ X1 @ X0) = $true)) )),
% 1.59/1.67 inference(cnf_transformation,[status(thm)],[f19])).
% 1.59/1.67 thf(f160,plain,(
% 1.59/1.67 ( ! [X2 : a > a > $o,X0 : a,X1 : a] : (((sK3 @ X0 @ X1 @ X2 @ X1 @ X0) != $true) | ($true = (sP1 @ X0 @ X1 @ X2))) )),
% 1.59/1.67 inference(subsumption_resolution,[status(thm)],[f159,f34])).
% 1.59/1.67 thf(f34,plain,(
% 1.59/1.67 ( ! [X2 : a,X0 : a > a > $o,X1 : a] : (((sP0 @ (sK3 @ X2 @ X1 @ X0)) != $true) | ((sP1 @ X2 @ X1 @ X0) = $true)) )),
% 1.59/1.67 inference(cnf_transformation,[status(thm)],[f19])).
% 1.59/1.67 thf(f159,plain,(
% 1.59/1.67 ( ! [X2 : a > a > $o,X0 : a,X1 : a] : (((sP0 @ (sK3 @ X0 @ X1 @ X2)) = $true) | ((sK3 @ X0 @ X1 @ X2 @ X1 @ X0) != $true) | ($true = (sP1 @ X0 @ X1 @ X2))) )),
% 1.59/1.67 inference(trivial_inequality_removal,[status(thm)],[f158])).
% 1.59/1.67 thf(f158,plain,(
% 1.59/1.67 ( ! [X2 : a > a > $o,X0 : a,X1 : a] : (((sK3 @ X0 @ X1 @ X2 @ X1 @ X0) != $true) | ((sP0 @ (sK3 @ X0 @ X1 @ X2)) = $true) | ($true != $true) | ($true = (sP1 @ X0 @ X1 @ X2))) )),
% 1.59/1.67 inference(superposition,[status(thm)],[f33,f38])).
% 1.59/1.67 thf(f38,plain,(
% 1.59/1.67 ( ! [X2 : a,X0 : a > a > $o,X1 : a] : (((X0 @ X1 @ X2) = $true) | ((X0 @ X2 @ X1) != $true) | ((sP0 @ X0) = $true)) )),
% 1.59/1.67 inference(cnf_transformation,[status(thm)],[f23])).
% 1.59/1.67 thf(f33,plain,(
% 1.59/1.67 ( ! [X2 : a,X0 : a > a > $o,X1 : a] : (($true != (sK3 @ X2 @ X1 @ X0 @ X2 @ X1)) | ((sP1 @ X2 @ X1 @ X0) = $true)) )),
% 1.59/1.67 inference(cnf_transformation,[status(thm)],[f19])).
% 1.59/1.67 thf(f49,plain,(
% 1.59/1.67 ((sP1 @ sK9 @ sK10 @ sK8) != $true) | spl11_1),
% 1.59/1.67 inference(avatar_component_clause,[status(thm)],[f42])).
% 1.59/1.67 thf(f335,plain,(
% 1.59/1.67 ~spl11_8 | spl11_1),
% 1.59/1.67 inference(avatar_split_clause,[status(thm)],[f331,f42,f134])).
% 1.59/1.67 thf(f134,definition,(
% 1.59/1.67 spl11_8 <=> ($true = (sK8 @ sK9 @ sK10))),
% 1.59/1.67 introduced(definition,[new_symbols(naming,[spl11_8])],[avatar_definition])).
% 1.59/1.67 thf(f331,plain,(
% 1.59/1.67 ($true != (sK8 @ sK9 @ sK10)) | spl11_1),
% 1.59/1.67 inference(trivial_inequality_removal,[status(thm)],[f330])).
% 1.59/1.67 thf(f330,plain,(
% 1.59/1.67 ($true != $true) | ($true != (sK8 @ sK9 @ sK10)) | spl11_1),
% 1.59/1.67 inference(superposition,[status(thm)],[f49,f167])).
% 1.59/1.67 thf(f167,plain,(
% 1.59/1.67 ( ! [X2 : a > a > $o,X0 : a,X1 : a] : (($true = (sP1 @ X0 @ X1 @ X2)) | ($true != (X2 @ X0 @ X1))) )),
% 1.59/1.67 inference(trivial_inequality_removal,[status(thm)],[f166])).
% 1.59/1.67 thf(f166,plain,(
% 1.59/1.67 ( ! [X2 : a > a > $o,X0 : a,X1 : a] : (($true != (X2 @ X0 @ X1)) | ($true != $true) | ($true = (sP1 @ X0 @ X1 @ X2))) )),
% 1.59/1.67 inference(duplicate_literal_removal,[status(thm)],[f163])).
% 1.59/1.67 thf(f163,plain,(
% 1.59/1.67 ( ! [X2 : a > a > $o,X0 : a,X1 : a] : (($true != (X2 @ X0 @ X1)) | ($true = (sP1 @ X0 @ X1 @ X2)) | ($true != $true) | ($true = (sP1 @ X0 @ X1 @ X2))) )),
% 1.59/1.67 inference(superposition,[status(thm)],[f33,f35])).
% 1.59/1.67 thf(f328,plain,(
% 1.59/1.67 spl11_7 | spl11_8 | ~spl11_2),
% 1.59/1.67 inference(avatar_split_clause,[status(thm)],[f327,f45,f134,f131])).
% 1.59/1.67 thf(f327,plain,(
% 1.59/1.67 ($true = (sK8 @ sK9 @ sK10)) | ((sK8 @ sK10 @ sK9) = $true) | ~spl11_2),
% 1.59/1.67 inference(trivial_inequality_removal,[status(thm)],[f326])).
% 1.59/1.67 thf(f326,plain,(
% 1.59/1.67 ((sK8 @ sK10 @ sK9) = $true) | ($true = (sK8 @ sK9 @ sK10)) | ($true != $true) | ~spl11_2),
% 1.59/1.67 inference(superposition,[status(thm)],[f28,f46])).
% 1.59/1.67 thf(f46,plain,(
% 1.59/1.67 ($true = (sP2 @ sK8 @ sK9 @ sK10)) | ~spl11_2),
% 1.59/1.67 inference(avatar_component_clause,[status(thm)],[f45])).
% 1.59/1.67 thf(f50,plain,(
% 1.59/1.67 ~spl11_2 | ~spl11_1),
% 1.59/1.67 inference(avatar_split_clause,[status(thm)],[f40,f42,f45])).
% 1.59/1.67 thf(f40,plain,(
% 1.59/1.67 ((sP1 @ sK9 @ sK10 @ sK8) != $true) | ($true != (sP2 @ sK8 @ sK9 @ sK10))),
% 1.59/1.67 inference(cnf_transformation,[status(thm)],[f27])).
% 1.59/1.67 thf(f27,plain,(
% 1.59/1.67 (($true != (sP2 @ sK8 @ sK9 @ sK10)) | ((sP1 @ sK9 @ sK10 @ sK8) != $true)) & (($true = (sP2 @ sK8 @ sK9 @ sK10)) | ((sP1 @ sK9 @ sK10 @ sK8) = $true))),
% 1.59/1.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f25,f26])).
% 1.59/1.67 thf(f26,plain,(
% 1.59/1.67 ? [X0 : a > a > $o,X1 : a,X2 : a] : ((($true != (sP2 @ X0 @ X1 @ X2)) | ((sP1 @ X1 @ X2 @ X0) != $true)) & (($true = (sP2 @ X0 @ X1 @ X2)) | ((sP1 @ X1 @ X2 @ X0) = $true))) => ((($true != (sP2 @ sK8 @ sK9 @ sK10)) | ((sP1 @ sK9 @ sK10 @ sK8) != $true)) & (($true = (sP2 @ sK8 @ sK9 @ sK10)) | ((sP1 @ sK9 @ sK10 @ sK8) = $true)))),
% 1.59/1.67 introduced(definition,[],[choice_axiom])).
% 1.59/1.67 thf(f25,plain,(
% 1.59/1.67 ? [X0 : a > a > $o,X1 : a,X2 : a] : ((($true != (sP2 @ X0 @ X1 @ X2)) | ((sP1 @ X1 @ X2 @ X0) != $true)) & (($true = (sP2 @ X0 @ X1 @ X2)) | ((sP1 @ X1 @ X2 @ X0) = $true)))),
% 1.59/1.67 inference(rectify,[status(thm)],[f24])).
% 1.59/1.67 thf(f24,plain,(
% 1.59/1.67 ? [X1 : a > a > $o,X0 : a,X2 : a] : ((((sP2 @ X1 @ X0 @ X2) != $true) | ($true != (sP1 @ X0 @ X2 @ X1))) & (((sP2 @ X1 @ X0 @ X2) = $true) | ($true = (sP1 @ X0 @ X2 @ X1))))),
% 1.59/1.67 inference(nnf_transformation,[status(thm)],[f11])).
% 1.59/1.67 thf(f11,plain,(
% 1.59/1.67 ? [X1 : a > a > $o,X0 : a,X2 : a] : (($true = (sP1 @ X0 @ X2 @ X1)) <~> ((sP2 @ X1 @ X0 @ X2) = $true))),
% 1.59/1.67 inference(definition_folding,[status(thm)],[f7,f10,f9,f8])).
% 1.59/1.67 thf(f7,plain,(
% 1.59/1.67 ? [X1 : a > a > $o,X0 : a,X2 : a] : (! [X3 : a > a > $o] : (? [X6 : a,X7 : a] : (($true != (X3 @ X7 @ X6)) & ($true = (X1 @ X7 @ X6))) | ? [X4 : a,X5 : a] : (((X3 @ X5 @ X4) = $true) & ((X3 @ X4 @ X5) != $true)) | ($true = (X3 @ X0 @ X2))) <~> (((X1 @ X0 @ X2) = $true) | ((X1 @ X2 @ X0) = $true)))),
% 1.59/1.67 inference(flattening,[status(thm)],[f6])).
% 1.59/1.67 thf(f6,plain,(
% 1.59/1.67 ? [X1 : a > a > $o,X2 : a,X0 : a] : (! [X3 : a > a > $o] : (($true = (X3 @ X0 @ X2)) | (? [X6 : a,X7 : a] : (($true != (X3 @ X7 @ X6)) & ($true = (X1 @ X7 @ X6))) | ? [X4 : a,X5 : a] : (((X3 @ X5 @ X4) = $true) & ((X3 @ X4 @ X5) != $true)))) <~> (((X1 @ X0 @ X2) = $true) | ((X1 @ X2 @ X0) = $true)))),
% 1.59/1.67 inference(ennf_transformation,[status(thm)],[f5])).
% 1.59/1.67 thf(f5,plain,(
% 1.59/1.67 ~! [X1 : a > a > $o,X2 : a,X0 : a] : (! [X3 : a > a > $o] : ((! [X7 : a,X6 : a] : (($true = (X1 @ X7 @ X6)) => ($true = (X3 @ X7 @ X6))) & ! [X4 : a,X5 : a] : (((X3 @ X5 @ X4) = $true) => ((X3 @ X4 @ X5) = $true))) => ($true = (X3 @ X0 @ X2))) <=> (((X1 @ X0 @ X2) = $true) | ((X1 @ X2 @ X0) = $true)))),
% 1.59/1.67 inference(fool_elimination,[status(thm)],[f4])).
% 1.59/1.67 thf(f4,plain,(
% 1.59/1.67 ~! [X0 : a,X1 : a > a > $o,X2 : a] : (((X1 @ X2 @ X0) | (X1 @ X0 @ X2)) <=> ! [X3 : a > a > $o] : ((! [X4 : a,X5 : a] : ((X3 @ X5 @ X4) => (X3 @ X4 @ X5)) & ! [X6 : a,X7 : a] : ((X1 @ X7 @ X6) => (X3 @ X7 @ X6))) => (X3 @ X0 @ X2)))),
% 1.59/1.67 inference(rectify,[status(thm)],[f2])).
% 1.59/1.67 thf(f2,negated_conjecture,(
% 1.59/1.67 ~! [X1 : a,X0 : a > a > $o,X2 : a] : (((X0 @ X2 @ X1) | (X0 @ X1 @ X2)) <=> ! [X3 : a > a > $o] : ((! [X5 : a,X4 : a] : ((X3 @ X4 @ X5) => (X3 @ X5 @ X4)) & ! [X5 : a,X4 : a] : ((X0 @ X4 @ X5) => (X3 @ X4 @ X5))) => (X3 @ X1 @ X2)))),
% 1.59/1.67 inference(negated_conjecture,[status(cth)],[f1])).
% 1.59/1.67 thf(f1,conjecture,(
% 1.59/1.67 ! [X1 : a,X0 : a > a > $o,X2 : a] : (((X0 @ X2 @ X1) | (X0 @ X1 @ X2)) <=> ! [X3 : a > a > $o] : ((! [X5 : a,X4 : a] : ((X3 @ X4 @ X5) => (X3 @ X5 @ X4)) & ! [X5 : a,X4 : a] : ((X0 @ X4 @ X5) => (X3 @ X4 @ X5))) => (X3 @ X1 @ X2)))),
% 1.59/1.67 file('/export/starexec/sandbox/tmp/tmp.g3omFeOmAi/DTF2THF_31272.p',cTHM522_pme)).
% 1.59/1.67 thf(f47,plain,(
% 1.59/1.67 spl11_1 | spl11_2),
% 1.59/1.67 inference(avatar_split_clause,[status(thm)],[f39,f45,f42])).
% 1.59/1.67 thf(f39,plain,(
% 1.59/1.67 ($true = (sP2 @ sK8 @ sK9 @ sK10)) | ((sP1 @ sK9 @ sK10 @ sK8) = $true)),
% 1.59/1.67 inference(cnf_transformation,[status(thm)],[f27])).
% 1.59/1.67 % SZS output end Proof for DTF2THF_31272
% 1.59/1.67 % (31530)------------------------------
% 1.59/1.67 % (31530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.67 % (31530)Termination reason: Refutation
% 1.59/1.67
% 1.59/1.67 % (31530)Memory used [KB]: 6268
% 1.59/1.67 % (31530)Time elapsed: 0.124 s
% 1.59/1.67 % (31530)Instructions burned: 360 (million)
% 1.59/1.67 % (31530)------------------------------
% 1.59/1.67 % (31530)------------------------------
% 1.59/1.67 % (31460)Success in time 0.39 s
%------------------------------------------------------------------------------