%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW101+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:29:45 PM UTC 2026
% Result : Theorem 4.35s 1.32s
% Output : Refutation 5.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 28
% Syntax : Number of formulae : 180 ( 44 unt; 15 def)
% Number of atoms : 415 ( 123 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 416 ( 181 ~; 188 |; 27 &)
% ( 19 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 16 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 41 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( bool(X0)
<=> ( X0 = false
| X0 = true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_bool) ).
fof(f2,axiom,
( true != false
& true != err
& false != err ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct_false_true_err) ).
fof(f3,axiom,
( d(true)
& d(false)
& d(err) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_true_err_in_d) ).
fof(f4,axiom,
! [X0,X1] :
( forallprefers(X0,X1)
<=> ( ( ~ d(X0)
& d(X1) )
| ( d(X0)
& d(X1)
& ~ bool(X0)
& bool(X1) )
| ( X0 = false
& X1 = true ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_forallprefers) ).
fof(f6,axiom,
! [X0] :
( ( d(X0)
& phi(X0) = X0 )
| ( ~ d(X0)
& phi(X0) = err ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_phi) ).
fof(f7,axiom,
! [X0] :
( prop(X0) = true
<=> bool(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop_true) ).
fof(f8,axiom,
! [X0] :
( prop(X0) = false
<=> ~ bool(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop_false) ).
fof(f14,axiom,
! [X0] : lazy_impl(false,X0) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom2) ).
fof(f15,axiom,
! [X0] : lazy_impl(true,X0) = phi(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom3) ).
fof(f38,axiom,
false1 = false,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_false1) ).
fof(f39,axiom,
! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_f7) ).
fof(f40,axiom,
? [X0] :
( false2 = phi(f7(X0))
& ~ ? [X1] : forallprefers(f7(X1),f7(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_false2) ).
fof(f45,conjecture,
false1 = false2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false1_false2) ).
fof(f46,negated_conjecture,
false1 != false2,
inference(negated_conjecture,[status(cth)],[f45]) ).
fof(f47,plain,
false1 != false2,
inference(flattening,[],[f46]) ).
fof(f49,plain,
! [X0,X1] :
( ( ( ~ d(X0)
& d(X1) )
| ( d(X0)
& d(X1)
& ~ bool(X0)
& bool(X1) )
| ( X0 = false
& X1 = true ) )
=> forallprefers(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f50,plain,
! [X0,X1] :
( forallprefers(X0,X1)
| ( ( d(X0)
| ~ d(X1) )
& ( ~ d(X0)
| ~ d(X1)
| bool(X0)
| ~ bool(X1) )
& ( false != X0
| true != X1 ) ) ),
inference(ennf_transformation,[],[f49]) ).
fof(f75,plain,
? [X0] :
( false2 = phi(f7(X0))
& ! [X1] : ~ forallprefers(f7(X1),f7(X0)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f77,plain,
! [X0] :
( ( bool(X0)
| ( false != X0
& true != X0 ) )
& ( X0 = false
| X0 = true
| ~ bool(X0) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f78,plain,
! [X0] :
( ( bool(X0)
| ( false != X0
& true != X0 ) )
& ( X0 = false
| X0 = true
| ~ bool(X0) ) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0] :
( ( prop(X0) = true
| ~ bool(X0) )
& ( bool(X0)
| true != prop(X0) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f80,plain,
! [X0] :
( ( prop(X0) = false
| bool(X0) )
& ( ~ bool(X0)
| false != prop(X0) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f87,plain,
( false2 = phi(f7(sK6))
& ! [X1] : ~ forallprefers(f7(X1),f7(sK6)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f75]) ).
fof(f88,plain,
! [X0] :
( ~ bool(X0)
| true = X0
| false = X0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f90,plain,
! [X0] :
( bool(X0)
| false != X0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f91,plain,
false != err,
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
true != err,
inference(cnf_transformation,[],[f2]) ).
fof(f94,plain,
d(err),
inference(cnf_transformation,[],[f3]) ).
fof(f95,plain,
d(false),
inference(cnf_transformation,[],[f3]) ).
fof(f96,plain,
d(true),
inference(cnf_transformation,[],[f3]) ).
fof(f97,plain,
! [X0,X1] :
( forallprefers(X0,X1)
| false != X0
| true != X1 ),
inference(cnf_transformation,[],[f50]) ).
fof(f103,plain,
! [X0] :
( err = phi(X0)
| phi(X0) = X0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f104,plain,
! [X0] :
( phi(X0) = X0
| ~ d(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0] :
( d(X0)
| err = phi(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f108,plain,
! [X0] :
( true = prop(X0)
| ~ bool(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f110,plain,
! [X0] :
( bool(X0)
| false = prop(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f116,plain,
! [X0] : true = lazy_impl(false,X0),
inference(cnf_transformation,[],[f14]) ).
fof(f117,plain,
! [X0] : phi(X0) = lazy_impl(true,X0),
inference(cnf_transformation,[],[f15]) ).
fof(f146,plain,
false = false1,
inference(cnf_transformation,[],[f38]) ).
fof(f147,plain,
! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
inference(cnf_transformation,[],[f39]) ).
fof(f148,plain,
! [X1] : ~ forallprefers(f7(X1),f7(sK6)),
inference(cnf_transformation,[],[f87]) ).
fof(f149,plain,
false2 = phi(f7(sK6)),
inference(cnf_transformation,[],[f87]) ).
fof(f154,plain,
false1 != false2,
inference(cnf_transformation,[],[f47]) ).
fof(f155,plain,
bool(false),
inference(equality_resolution,[],[f90]) ).
fof(f157,plain,
! [X1] :
( forallprefers(false,X1)
| true != X1 ),
inference(equality_resolution,[],[f97]) ).
fof(f158,plain,
forallprefers(false,true),
inference(equality_resolution,[],[f157]) ).
fof(f161,plain,
( false2 = f7(sK6)
| ~ d(f7(sK6)) ),
inference(superposition,[],[f104,f149]) ).
fof(f164,definition,
( spl7_1
<=> d(f7(sK6)) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f166,plain,
( ~ d(f7(sK6))
| spl7_1 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f168,definition,
( spl7_2
<=> false2 = f7(sK6) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f170,plain,
( false2 = f7(sK6)
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f172,plain,
( ~ spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f161,f168,f164]) ).
fof(f185,plain,
! [X0] :
( lazy_impl(true,X0) = f7(X0)
| ~ bool(X0) ),
inference(superposition,[],[f147,f108]) ).
fof(f186,plain,
! [X0] :
( ~ bool(X0)
| phi(X0) = f7(X0) ),
inference(forward_demodulation,[],[f185,f117]) ).
fof(f190,plain,
! [X0] :
( false = prop(X0)
| false = X0
| true = X0 ),
inference(resolution,[],[f88,f110]) ).
fof(f191,plain,
phi(false) = f7(false),
inference(resolution,[],[f186,f155]) ).
fof(f194,plain,
! [X0] :
( false = prop(X0)
| phi(X0) = f7(X0) ),
inference(resolution,[],[f186,f110]) ).
fof(f199,plain,
~ forallprefers(phi(false),f7(sK6)),
inference(superposition,[],[f148,f191]) ).
fof(f206,plain,
( ~ forallprefers(false,f7(sK6))
| ~ d(false) ),
inference(superposition,[],[f199,f104]) ).
fof(f207,plain,
~ forallprefers(false,f7(sK6)),
inference(forward_subsumption_resolution,[],[f206,f95]) ).
fof(f235,plain,
! [X0] :
( lazy_impl(false,X0) = f7(X0)
| phi(X0) = f7(X0) ),
inference(superposition,[],[f147,f194]) ).
fof(f240,plain,
! [X0] :
( phi(X0) = f7(X0)
| true = f7(X0) ),
inference(forward_demodulation,[],[f235,f116]) ).
fof(f244,plain,
( ~ d(phi(sK6))
| true = f7(sK6)
| spl7_1 ),
inference(superposition,[],[f166,f240]) ).
fof(f249,plain,
( ~ forallprefers(false,phi(sK6))
| true = f7(sK6) ),
inference(superposition,[],[f207,f240]) ).
fof(f254,definition,
( spl7_5
<=> true = f7(sK6) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f255,plain,
( true != f7(sK6)
| spl7_5 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f256,plain,
( true = f7(sK6)
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f268,definition,
( spl7_8
<=> forallprefers(false,phi(sK6)) ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
fof(f270,plain,
( ~ forallprefers(false,phi(sK6))
| spl7_8 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f271,plain,
( spl7_5
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f249,f268,f254]) ).
fof(f292,definition,
( spl7_13
<=> d(phi(sK6)) ),
introduced(definition,[new_symbols(definition,[spl7_13])],[avatar_definition]) ).
fof(f294,plain,
( ~ d(phi(sK6))
| spl7_13 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f295,plain,
( spl7_5
| ~ spl7_13
| spl7_1 ),
inference(avatar_split_clause,[],[f244,f164,f292,f254]) ).
fof(f311,plain,
( ~ forallprefers(false,true)
| ~ spl7_5 ),
inference(superposition,[],[f207,f256]) ).
fof(f315,plain,
( $false
| ~ spl7_5 ),
inference(forward_subsumption_resolution,[],[f311,f158]) ).
fof(f316,plain,
~ spl7_5,
inference(avatar_contradiction_clause,[],[f315]) ).
fof(f325,plain,
( ~ d(sK6)
| ~ d(sK6)
| spl7_13 ),
inference(superposition,[],[f294,f104]) ).
fof(f326,plain,
( ~ d(sK6)
| spl7_13 ),
inference(duplicate_literal_removal,[],[f325]) ).
fof(f332,plain,
( err = phi(sK6)
| spl7_13 ),
inference(resolution,[],[f326,f105]) ).
fof(f339,definition,
( spl7_15
<=> sK6 = phi(sK6) ),
introduced(definition,[new_symbols(definition,[spl7_15])],[avatar_definition]) ).
fof(f340,plain,
( sK6 != phi(sK6)
| spl7_15 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f341,plain,
( sK6 = phi(sK6)
| ~ spl7_15 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f360,plain,
( ~ forallprefers(false,sK6)
| ~ d(sK6)
| spl7_8 ),
inference(superposition,[],[f270,f104]) ).
fof(f398,plain,
( ~ d(err)
| spl7_13 ),
inference(superposition,[],[f294,f332]) ).
fof(f400,plain,
( $false
| spl7_13 ),
inference(forward_subsumption_resolution,[],[f398,f94]) ).
fof(f401,plain,
spl7_13,
inference(avatar_contradiction_clause,[],[f400]) ).
fof(f403,definition,
( spl7_19
<=> d(sK6) ),
introduced(definition,[new_symbols(definition,[spl7_19])],[avatar_definition]) ).
fof(f405,plain,
( ~ d(sK6)
| spl7_19 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f417,definition,
( spl7_22
<=> forallprefers(false,sK6) ),
introduced(definition,[new_symbols(definition,[spl7_22])],[avatar_definition]) ).
fof(f419,plain,
( ~ forallprefers(false,sK6)
| spl7_22 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f420,plain,
( ~ spl7_19
| ~ spl7_22
| spl7_8 ),
inference(avatar_split_clause,[],[f360,f268,f417,f403]) ).
fof(f423,definition,
( spl7_23
<=> err = false2 ),
introduced(definition,[new_symbols(definition,[spl7_23])],[avatar_definition]) ).
fof(f425,plain,
( err = false2
| ~ spl7_23 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f447,plain,
( false2 = phi(sK6)
| true = f7(sK6)
| ~ spl7_2 ),
inference(superposition,[],[f170,f240]) ).
fof(f464,definition,
( spl7_25
<=> false2 = phi(sK6) ),
introduced(definition,[new_symbols(definition,[spl7_25])],[avatar_definition]) ).
fof(f466,plain,
( false2 = phi(sK6)
| ~ spl7_25 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f469,plain,
( false2 = phi(sK6)
| ~ spl7_2
| spl7_5 ),
inference(forward_subsumption_resolution,[],[f447,f255]) ).
fof(f470,plain,
( spl7_25
| ~ spl7_2
| spl7_5 ),
inference(avatar_split_clause,[],[f469,f254,f168,f464]) ).
fof(f479,plain,
! [X0] :
( lazy_impl(false,X0) = f7(X0)
| false = X0
| true = X0 ),
inference(superposition,[],[f147,f190]) ).
fof(f481,plain,
! [X0] :
( true = f7(X0)
| false = X0
| true = X0 ),
inference(forward_demodulation,[],[f479,f116]) ).
fof(f563,definition,
( spl7_30
<=> bool(err) ),
introduced(definition,[new_symbols(definition,[spl7_30])],[avatar_definition]) ).
fof(f564,plain,
( bool(err)
| ~ spl7_30 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f565,plain,
( ~ bool(err)
| spl7_30 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f574,plain,
( false = prop(err)
| spl7_30 ),
inference(resolution,[],[f565,f110]) ).
fof(f660,plain,
( f7(err) = lazy_impl(false,err)
| spl7_30 ),
inference(superposition,[],[f147,f574]) ).
fof(f664,plain,
( true = f7(err)
| spl7_30 ),
inference(forward_demodulation,[],[f660,f116]) ).
fof(f695,plain,
( err = false2
| sK6 = phi(sK6)
| ~ spl7_25 ),
inference(superposition,[],[f466,f103]) ).
fof(f696,plain,
( false2 = sK6
| ~ d(sK6)
| ~ spl7_25 ),
inference(superposition,[],[f466,f104]) ).
fof(f705,definition,
( spl7_32
<=> false2 = sK6 ),
introduced(definition,[new_symbols(definition,[spl7_32])],[avatar_definition]) ).
fof(f707,plain,
( false2 = sK6
| ~ spl7_32 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f709,plain,
( false2 = sK6
| err = false2
| ~ spl7_25 ),
inference(forward_demodulation,[],[f695,f466]) ).
fof(f710,plain,
( spl7_23
| spl7_32
| ~ spl7_25 ),
inference(avatar_split_clause,[],[f709,f464,f705,f423]) ).
fof(f859,plain,
( false2 = sK6
| ~ spl7_15
| ~ spl7_25 ),
inference(forward_demodulation,[],[f341,f466]) ).
fof(f860,plain,
( err = sK6
| ~ spl7_15
| ~ spl7_23
| ~ spl7_25 ),
inference(forward_demodulation,[],[f859,f425]) ).
fof(f867,plain,
( ~ forallprefers(false,f7(err))
| ~ spl7_15
| ~ spl7_23
| ~ spl7_25 ),
inference(superposition,[],[f207,f860]) ).
fof(f890,plain,
( ~ forallprefers(false,true)
| ~ spl7_15
| ~ spl7_23
| ~ spl7_25
| spl7_30 ),
inference(forward_demodulation,[],[f867,f664]) ).
fof(f897,plain,
( $false
| ~ spl7_15
| ~ spl7_23
| ~ spl7_25
| spl7_30 ),
inference(forward_subsumption_resolution,[],[f890,f158]) ).
fof(f898,plain,
( ~ spl7_15
| ~ spl7_23
| ~ spl7_25
| spl7_30 ),
inference(avatar_contradiction_clause,[],[f897]) ).
fof(f947,plain,
( true = err
| false = err
| ~ spl7_30 ),
inference(resolution,[],[f564,f88]) ).
fof(f955,plain,
( false = err
| ~ spl7_30 ),
inference(forward_subsumption_resolution,[],[f947,f92]) ).
fof(f956,plain,
( $false
| ~ spl7_30 ),
inference(forward_subsumption_resolution,[],[f955,f91]) ).
fof(f957,plain,
~ spl7_30,
inference(avatar_contradiction_clause,[],[f956]) ).
fof(f958,plain,
( false2 != sK6
| spl7_15
| ~ spl7_25 ),
inference(forward_demodulation,[],[f340,f466]) ).
fof(f964,plain,
( err = sK6
| ~ d(sK6)
| ~ spl7_23
| ~ spl7_25 ),
inference(forward_demodulation,[],[f696,f425]) ).
fof(f965,plain,
( err != sK6
| spl7_15
| ~ spl7_23
| ~ spl7_25 ),
inference(forward_demodulation,[],[f958,f425]) ).
fof(f969,definition,
( spl7_33
<=> err = sK6 ),
introduced(definition,[new_symbols(definition,[spl7_33])],[avatar_definition]) ).
fof(f973,plain,
( ~ spl7_19
| spl7_33
| ~ spl7_23
| ~ spl7_25 ),
inference(avatar_split_clause,[],[f964,f464,f423,f969,f403]) ).
fof(f974,plain,
( ~ spl7_33
| spl7_15
| ~ spl7_23
| ~ spl7_25 ),
inference(avatar_split_clause,[],[f965,f464,f423,f339,f969]) ).
fof(f1401,plain,
( ~ forallprefers(false,true)
| false = sK6
| true = sK6 ),
inference(superposition,[],[f207,f481]) ).
fof(f1407,definition,
( spl7_37
<=> true = sK6 ),
introduced(definition,[new_symbols(definition,[spl7_37])],[avatar_definition]) ).
fof(f1409,plain,
( true = sK6
| ~ spl7_37 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f1411,definition,
( spl7_38
<=> false = sK6 ),
introduced(definition,[new_symbols(definition,[spl7_38])],[avatar_definition]) ).
fof(f1413,plain,
( false = sK6
| ~ spl7_38 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f1425,plain,
( false = sK6
| true = sK6 ),
inference(forward_subsumption_resolution,[],[f1401,f158]) ).
fof(f1443,plain,
( spl7_37
| spl7_38 ),
inference(avatar_split_clause,[],[f1425,f1411,f1407]) ).
fof(f1465,plain,
( ~ d(true)
| spl7_19
| ~ spl7_37 ),
inference(superposition,[],[f405,f1409]) ).
fof(f1468,plain,
( ~ forallprefers(false,true)
| spl7_22
| ~ spl7_37 ),
inference(superposition,[],[f419,f1409]) ).
fof(f1474,plain,
( $false
| spl7_22
| ~ spl7_37 ),
inference(forward_subsumption_resolution,[],[f1468,f158]) ).
fof(f1475,plain,
( spl7_22
| ~ spl7_37 ),
inference(avatar_contradiction_clause,[],[f1474]) ).
fof(f1478,plain,
( $false
| spl7_19
| ~ spl7_37 ),
inference(forward_subsumption_resolution,[],[f1465,f96]) ).
fof(f1479,plain,
( spl7_19
| ~ spl7_37 ),
inference(avatar_contradiction_clause,[],[f1478]) ).
fof(f1575,plain,
( ~ d(false)
| spl7_19
| ~ spl7_38 ),
inference(superposition,[],[f405,f1413]) ).
fof(f1583,plain,
( $false
| spl7_19
| ~ spl7_38 ),
inference(forward_subsumption_resolution,[],[f1575,f95]) ).
fof(f1584,plain,
( spl7_19
| ~ spl7_38 ),
inference(avatar_contradiction_clause,[],[f1583]) ).
fof(f1599,plain,
( false = false2
| ~ spl7_32
| ~ spl7_38 ),
inference(forward_demodulation,[],[f707,f1413]) ).
fof(f1636,plain,
( false != false1
| ~ spl7_32
| ~ spl7_38 ),
inference(superposition,[],[f154,f1599]) ).
fof(f1652,plain,
( $false
| ~ spl7_32
| ~ spl7_38 ),
inference(forward_subsumption_resolution,[],[f1636,f146]) ).
fof(f1653,plain,
( ~ spl7_32
| ~ spl7_38 ),
inference(avatar_contradiction_clause,[],[f1652]) ).
cnf(s2,plain,
( ~ spl7_1
| spl7_2 ),
inference(sat_conversion,[],[f172]) ).
cnf(s6,plain,
( spl7_5
| ~ spl7_8 ),
inference(sat_conversion,[],[f271]) ).
cnf(s11,plain,
( spl7_1
| spl7_5
| ~ spl7_13 ),
inference(sat_conversion,[],[f295]) ).
cnf(s14,plain,
~ spl7_5,
inference(sat_conversion,[],[f316]) ).
cnf(s22,plain,
spl7_13,
inference(sat_conversion,[],[f401]) ).
cnf(s25,plain,
( spl7_8
| ~ spl7_19
| ~ spl7_22 ),
inference(sat_conversion,[],[f420]) ).
cnf(s31,plain,
( ~ spl7_2
| spl7_5
| spl7_25 ),
inference(sat_conversion,[],[f470]) ).
cnf(s37,plain,
( spl7_23
| ~ spl7_25
| spl7_32 ),
inference(sat_conversion,[],[f710]) ).
cnf(s40,plain,
( ~ spl7_15
| ~ spl7_23
| ~ spl7_25
| spl7_30 ),
inference(sat_conversion,[],[f898]) ).
cnf(s49,plain,
~ spl7_30,
inference(sat_conversion,[],[f957]) ).
cnf(s54,plain,
( ~ spl7_19
| ~ spl7_23
| ~ spl7_25
| spl7_33 ),
inference(sat_conversion,[],[f973]) ).
cnf(s55,plain,
( spl7_15
| ~ spl7_23
| ~ spl7_25
| ~ spl7_33 ),
inference(sat_conversion,[],[f974]) ).
cnf(s66,plain,
( spl7_37
| spl7_38 ),
inference(sat_conversion,[],[f1443]) ).
cnf(s71,plain,
( spl7_22
| ~ spl7_37 ),
inference(sat_conversion,[],[f1475]) ).
cnf(s74,plain,
( spl7_19
| ~ spl7_37 ),
inference(sat_conversion,[],[f1479]) ).
cnf(s77,plain,
( spl7_19
| ~ spl7_38 ),
inference(sat_conversion,[],[f1584]) ).
cnf(s83,plain,
( ~ spl7_32
| ~ spl7_38 ),
inference(sat_conversion,[],[f1653]) ).
cnf(s87,plain,
( ~ spl7_15
| ~ spl7_23
| ~ spl7_25 ),
inference(rat,[],[s40,s49]) ).
cnf(s91,plain,
spl7_1,
inference(rat,[],[s11,s22,s14]) ).
cnf(s94,plain,
~ spl7_8,
inference(rat,[],[s6,s14]) ).
cnf(s97,plain,
spl7_2,
inference(rat,[],[s2,s91]) ).
cnf(s98,plain,
spl7_25,
inference(rat,[],[s31,s14,s97]) ).
cnf(s100,plain,
spl7_19,
inference(rat,[],[s66,s74,s77]) ).
cnf(s101,plain,
~ spl7_22,
inference(rat,[],[s25,s94,s100]) ).
cnf(s103,plain,
~ spl7_37,
inference(rat,[],[s71,s101]) ).
cnf(s104,plain,
spl7_38,
inference(rat,[],[s66,s103]) ).
cnf(s105,plain,
~ spl7_32,
inference(rat,[],[s83,s104]) ).
cnf(s107,plain,
spl7_23,
inference(rat,[],[s37,s98,s105]) ).
cnf(s110,plain,
~ spl7_15,
inference(rat,[],[s87,s98,s107]) ).
cnf(s111,plain,
~ spl7_33,
inference(rat,[],[s55,s110,s98,s107]) ).
cnf(s112,plain,
$false,
inference(rat,[],[s54,s100,s98,s107,s111]) ).
fof(f1654,plain,
$false,
inference(avatar_sat_refutation,[],[s112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW101+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n001.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Mon Sep 28 13:17:48 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 Running first-order theorem proving
% 0.10/0.25 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.35/1.32 % (344449)Detected formulas, will run a generic FOF schedule.
% 4.35/1.32 % (344472)dis-21_1_sil=8000:lcm=predicate:random_seed=440187190:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.35/1.32 % (344472)Refutation not found, incomplete strategy
% 4.35/1.32 % (344472)------------------------------
% 4.35/1.32 % (344472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.35/1.32 % (344472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.35/1.32 % (344472)CaDiCaL version: 2.1.3
% 4.35/1.32 % (344472)Termination reason: Refutation not found, incomplete strategy
% 4.35/1.32 % (344472)Time elapsed: 0.002 s
% 4.35/1.32 % (344472)Peak memory usage: 88 MB
% 4.35/1.32 % (344472)Instructions burned: 5 (million)
% 4.35/1.32 % (344467)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=727126277:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.35/1.32 % (344466)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1065877186:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.35/1.32 % (344468)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1597039562:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.35/1.32 % (344470)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4039491592:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.35/1.32 % (344470)Refutation not found, incomplete strategy
% 4.35/1.32 % (344470)------------------------------
% 4.35/1.32 % (344470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.35/1.32 % (344470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.35/1.32 % (344470)CaDiCaL version: 2.1.3
% 4.35/1.32 % (344470)Termination reason: Refutation not found, incomplete strategy
% 4.35/1.32 % (344470)Time elapsed: 0.001 s
% 4.35/1.32 % (344470)Peak memory usage: 87 MB
% 4.35/1.32 % (344471)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2693560569:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.35/1.32 % (344469)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=531755735:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.35/1.32 % (344469)Refutation not found, incomplete strategy
% 4.35/1.32 % (344469)------------------------------
% 4.35/1.32 % (344469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.35/1.32 % (344469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.35/1.32 % (344469)CaDiCaL version: 2.1.3
% 4.35/1.32 % (344469)Termination reason: Refutation not found, incomplete strategy
% 4.35/1.32 % (344469)Time elapsed: 0.001 s
% 4.35/1.32 % (344469)Peak memory usage: 87 MB
% 4.35/1.32 % (344471)First to succeed.
% 4.35/1.32 % (344471)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-344449"
% 4.35/1.32 % (344472)------------------------------
% 4.35/1.32 % (344472)------------------------------
% 4.35/1.32 % (344483)lrs+10_1_sil=8000:sp=occurrence:random_seed=4128020515:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.35/1.32 % (344483)Also succeeded, but the first one will report.
% 4.35/1.32 % (344469)------------------------------
% 4.35/1.32 % (344469)------------------------------
% 4.35/1.32 % (344470)------------------------------
% 4.35/1.32 % (344470)------------------------------
% 4.35/1.32 % (344471)Refutation found. Thanks to Tanya!
% 4.35/1.32 % SZS status Theorem for theBenchmark
% 4.35/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 5.49/1.54 % (344471)------------------------------
% 5.49/1.54 % (344471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.54 % (344471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.54 % (344471)CaDiCaL version: 2.1.3
% 5.49/1.54 % (344471)Termination reason: Refutation
% 5.49/1.54 % (344471)Time elapsed: 0.066 s
% 5.49/1.54 % (344471)Peak memory usage: 90 MB
% 5.49/1.54 % (344471)Instructions burned: 61 (million)
% 5.49/1.54 % (344471)------------------------------
% 5.49/1.54 % (344471)------------------------------
% 5.49/1.54 % (344449)Success in time 0.683 s
% 5.49/1.54 % Vampire exiting
%------------------------------------------------------------------------------