TSTP Solution File: SWV396+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV396+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.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 : Sun May 5 10:29:28 EDT 2024
% Result : Theorem 0.65s 0.78s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 25
% Syntax : Number of formulae : 128 ( 18 unt; 0 def)
% Number of atoms : 402 ( 69 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 463 ( 189 ~; 189 |; 58 &)
% ( 13 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 10 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 283 ( 243 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f762,plain,
$false,
inference(avatar_sat_refutation,[],[f166,f171,f184,f219,f267,f280,f282,f286,f303,f739,f761]) ).
fof(f761,plain,
( ~ spl7_2
| ~ spl7_4
| spl7_5
| ~ spl7_9
| ~ spl7_11 ),
inference(avatar_contradiction_clause,[],[f760]) ).
fof(f760,plain,
( $false
| ~ spl7_2
| ~ spl7_4
| spl7_5
| ~ spl7_9
| ~ spl7_11 ),
inference(subsumption_resolution,[],[f759,f95]) ).
fof(f95,plain,
strictly_less_than(sK3,sK4),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ~ pair_in_list(remove_slb(insert_slb(sK0,pair(sK5,sK6)),sK3),sK3,sK4)
& ok(remove_cpq(triple(sK1,insert_slb(sK0,pair(sK5,sK6)),sK2),sK3))
& strictly_less_than(sK3,sK4)
& pair_in_list(insert_slb(sK0,pair(sK5,sK6)),sK3,sK4)
& ! [X7,X8,X9,X10] :
( pair_in_list(remove_slb(sK0,X9),X9,X10)
| ~ ok(remove_cpq(triple(X7,sK0,X8),X9))
| ~ strictly_less_than(X9,X10)
| ~ pair_in_list(sK0,X9,X10) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f81,f83,f82]) ).
fof(f82,plain,
( ? [X0] :
( ? [X1,X2,X3,X4,X5,X6] :
( ~ pair_in_list(remove_slb(insert_slb(X0,pair(X5,X6)),X3),X3,X4)
& ok(remove_cpq(triple(X1,insert_slb(X0,pair(X5,X6)),X2),X3))
& strictly_less_than(X3,X4)
& pair_in_list(insert_slb(X0,pair(X5,X6)),X3,X4) )
& ! [X7,X8,X9,X10] :
( pair_in_list(remove_slb(X0,X9),X9,X10)
| ~ ok(remove_cpq(triple(X7,X0,X8),X9))
| ~ strictly_less_than(X9,X10)
| ~ pair_in_list(X0,X9,X10) ) )
=> ( ? [X6,X5,X4,X3,X2,X1] :
( ~ pair_in_list(remove_slb(insert_slb(sK0,pair(X5,X6)),X3),X3,X4)
& ok(remove_cpq(triple(X1,insert_slb(sK0,pair(X5,X6)),X2),X3))
& strictly_less_than(X3,X4)
& pair_in_list(insert_slb(sK0,pair(X5,X6)),X3,X4) )
& ! [X10,X9,X8,X7] :
( pair_in_list(remove_slb(sK0,X9),X9,X10)
| ~ ok(remove_cpq(triple(X7,sK0,X8),X9))
| ~ strictly_less_than(X9,X10)
| ~ pair_in_list(sK0,X9,X10) ) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( ? [X6,X5,X4,X3,X2,X1] :
( ~ pair_in_list(remove_slb(insert_slb(sK0,pair(X5,X6)),X3),X3,X4)
& ok(remove_cpq(triple(X1,insert_slb(sK0,pair(X5,X6)),X2),X3))
& strictly_less_than(X3,X4)
& pair_in_list(insert_slb(sK0,pair(X5,X6)),X3,X4) )
=> ( ~ pair_in_list(remove_slb(insert_slb(sK0,pair(sK5,sK6)),sK3),sK3,sK4)
& ok(remove_cpq(triple(sK1,insert_slb(sK0,pair(sK5,sK6)),sK2),sK3))
& strictly_less_than(sK3,sK4)
& pair_in_list(insert_slb(sK0,pair(sK5,sK6)),sK3,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
? [X0] :
( ? [X1,X2,X3,X4,X5,X6] :
( ~ pair_in_list(remove_slb(insert_slb(X0,pair(X5,X6)),X3),X3,X4)
& ok(remove_cpq(triple(X1,insert_slb(X0,pair(X5,X6)),X2),X3))
& strictly_less_than(X3,X4)
& pair_in_list(insert_slb(X0,pair(X5,X6)),X3,X4) )
& ! [X7,X8,X9,X10] :
( pair_in_list(remove_slb(X0,X9),X9,X10)
| ~ ok(remove_cpq(triple(X7,X0,X8),X9))
| ~ strictly_less_than(X9,X10)
| ~ pair_in_list(X0,X9,X10) ) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
? [X0] :
( ? [X5,X6,X7,X8,X9,X10] :
( ~ pair_in_list(remove_slb(insert_slb(X0,pair(X9,X10)),X7),X7,X8)
& ok(remove_cpq(triple(X5,insert_slb(X0,pair(X9,X10)),X6),X7))
& strictly_less_than(X7,X8)
& pair_in_list(insert_slb(X0,pair(X9,X10)),X7,X8) )
& ! [X1,X2,X3,X4] :
( pair_in_list(remove_slb(X0,X3),X3,X4)
| ~ ok(remove_cpq(triple(X1,X0,X2),X3))
| ~ strictly_less_than(X3,X4)
| ~ pair_in_list(X0,X3,X4) ) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
? [X0] :
( ? [X5,X6,X7,X8,X9,X10] :
( ~ pair_in_list(remove_slb(insert_slb(X0,pair(X9,X10)),X7),X7,X8)
& ok(remove_cpq(triple(X5,insert_slb(X0,pair(X9,X10)),X6),X7))
& strictly_less_than(X7,X8)
& pair_in_list(insert_slb(X0,pair(X9,X10)),X7,X8) )
& ! [X1,X2,X3,X4] :
( pair_in_list(remove_slb(X0,X3),X3,X4)
| ~ ok(remove_cpq(triple(X1,X0,X2),X3))
| ~ strictly_less_than(X3,X4)
| ~ pair_in_list(X0,X3,X4) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,negated_conjecture,
~ ! [X0] :
( ! [X1,X2,X3,X4] :
( ( ok(remove_cpq(triple(X1,X0,X2),X3))
& strictly_less_than(X3,X4)
& pair_in_list(X0,X3,X4) )
=> pair_in_list(remove_slb(X0,X3),X3,X4) )
=> ! [X5,X6,X7,X8,X9,X10] :
( ( ok(remove_cpq(triple(X5,insert_slb(X0,pair(X9,X10)),X6),X7))
& strictly_less_than(X7,X8)
& pair_in_list(insert_slb(X0,pair(X9,X10)),X7,X8) )
=> pair_in_list(remove_slb(insert_slb(X0,pair(X9,X10)),X7),X7,X8) ) ),
inference(negated_conjecture,[],[f42]) ).
fof(f42,conjecture,
! [X0] :
( ! [X1,X2,X3,X4] :
( ( ok(remove_cpq(triple(X1,X0,X2),X3))
& strictly_less_than(X3,X4)
& pair_in_list(X0,X3,X4) )
=> pair_in_list(remove_slb(X0,X3),X3,X4) )
=> ! [X5,X6,X7,X8,X9,X10] :
( ( ok(remove_cpq(triple(X5,insert_slb(X0,pair(X9,X10)),X6),X7))
& strictly_less_than(X7,X8)
& pair_in_list(insert_slb(X0,pair(X9,X10)),X7,X8) )
=> pair_in_list(remove_slb(insert_slb(X0,pair(X9,X10)),X7),X7,X8) ) ),
file('/export/starexec/sandbox/tmp/tmp.iP7yPy713D/Vampire---4.8_19272',l32_co) ).
fof(f759,plain,
( ~ strictly_less_than(sK3,sK4)
| ~ spl7_2
| ~ spl7_4
| spl7_5
| ~ spl7_9
| ~ spl7_11 ),
inference(subsumption_resolution,[],[f758,f165]) ).
fof(f165,plain,
( pair_in_list(sK0,sK3,sK4)
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl7_2
<=> pair_in_list(sK0,sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f758,plain,
( ~ pair_in_list(sK0,sK3,sK4)
| ~ strictly_less_than(sK3,sK4)
| ~ spl7_4
| spl7_5
| ~ spl7_9
| ~ spl7_11 ),
inference(subsumption_resolution,[],[f757,f277]) ).
fof(f277,plain,
( less_than(lookup_slb(sK0,sK3),sK3)
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f276,plain,
( spl7_9
<=> less_than(lookup_slb(sK0,sK3),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).
fof(f757,plain,
( ~ less_than(lookup_slb(sK0,sK3),sK3)
| ~ pair_in_list(sK0,sK3,sK4)
| ~ strictly_less_than(sK3,sK4)
| ~ spl7_4
| spl7_5
| ~ spl7_11 ),
inference(subsumption_resolution,[],[f755,f178]) ).
fof(f178,plain,
( contains_slb(sK0,sK3)
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl7_4
<=> contains_slb(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
fof(f755,plain,
( ~ contains_slb(sK0,sK3)
| ~ less_than(lookup_slb(sK0,sK3),sK3)
| ~ pair_in_list(sK0,sK3,sK4)
| ~ strictly_less_than(sK3,sK4)
| spl7_5
| ~ spl7_11 ),
inference(resolution,[],[f302,f288]) ).
fof(f288,plain,
( ~ pair_in_list(remove_slb(sK0,sK3),sK3,sK4)
| spl7_5 ),
inference(resolution,[],[f183,f115]) ).
fof(f115,plain,
! [X2,X3,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ~ pair_in_list(X0,X2,X4) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2,X3,X4] :
( ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ( ( X3 != X4
| X1 != X2 )
& ~ pair_in_list(X0,X2,X4) ) )
& ( ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2,X3,X4] :
( ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ( ( X3 != X4
| X1 != X2 )
& ~ pair_in_list(X0,X2,X4) ) )
& ( ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2,X3,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
<=> ( ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.iP7yPy713D/Vampire---4.8_19272',ax23) ).
fof(f183,plain,
( ~ pair_in_list(insert_slb(remove_slb(sK0,sK3),pair(sK5,sK6)),sK3,sK4)
| spl7_5 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f181,plain,
( spl7_5
<=> pair_in_list(insert_slb(remove_slb(sK0,sK3),pair(sK5,sK6)),sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).
fof(f302,plain,
( ! [X0,X1] :
( pair_in_list(remove_slb(sK0,X0),X0,X1)
| ~ contains_slb(sK0,X0)
| ~ less_than(lookup_slb(sK0,X0),X0)
| ~ pair_in_list(sK0,X0,X1)
| ~ strictly_less_than(X0,X1) )
| ~ spl7_11 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl7_11
<=> ! [X0,X1] :
( pair_in_list(remove_slb(sK0,X0),X0,X1)
| ~ contains_slb(sK0,X0)
| ~ less_than(lookup_slb(sK0,X0),X0)
| ~ pair_in_list(sK0,X0,X1)
| ~ strictly_less_than(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).
fof(f739,plain,
~ spl7_10,
inference(avatar_contradiction_clause,[],[f738]) ).
fof(f738,plain,
( $false
| ~ spl7_10 ),
inference(subsumption_resolution,[],[f737,f529]) ).
fof(f529,plain,
( ! [X0,X1] : pair_in_list(bad,X0,X1)
| ~ spl7_10 ),
inference(forward_demodulation,[],[f326,f299]) ).
fof(f299,plain,
( ! [X2] : bad = X2
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f298,plain,
( spl7_10
<=> ! [X2] : bad = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).
fof(f326,plain,
( ! [X2,X0,X1] : pair_in_list(insert_slb(X2,bad),X0,X1)
| ~ spl7_10 ),
inference(superposition,[],[f153,f299]) ).
fof(f153,plain,
! [X2,X0,X4] : pair_in_list(insert_slb(X0,pair(X2,X4)),X2,X4),
inference(equality_resolution,[],[f152]) ).
fof(f152,plain,
! [X2,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X4)),X2,X4)
| X1 != X2 ),
inference(equality_resolution,[],[f116]) ).
fof(f116,plain,
! [X2,X3,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| X3 != X4
| X1 != X2 ),
inference(cnf_transformation,[],[f89]) ).
fof(f737,plain,
( ~ pair_in_list(bad,bad,bad)
| ~ spl7_10 ),
inference(forward_demodulation,[],[f736,f299]) ).
fof(f736,plain,
( ~ pair_in_list(remove_slb(insert_slb(sK0,pair(sK5,bad)),bad),bad,bad)
| ~ spl7_10 ),
inference(forward_demodulation,[],[f735,f299]) ).
fof(f735,plain,
( ~ pair_in_list(remove_slb(insert_slb(sK0,pair(sK5,bad)),sK3),sK3,bad)
| ~ spl7_10 ),
inference(forward_demodulation,[],[f498,f299]) ).
fof(f498,plain,
( ~ pair_in_list(remove_slb(insert_slb(sK0,pair(sK5,bad)),sK3),sK3,sK4)
| ~ spl7_10 ),
inference(superposition,[],[f97,f299]) ).
fof(f97,plain,
~ pair_in_list(remove_slb(insert_slb(sK0,pair(sK5,sK6)),sK3),sK3,sK4),
inference(cnf_transformation,[],[f84]) ).
fof(f303,plain,
( spl7_10
| spl7_11 ),
inference(avatar_split_clause,[],[f292,f301,f298]) ).
fof(f292,plain,
! [X2,X0,X1] :
( pair_in_list(remove_slb(sK0,X0),X0,X1)
| ~ strictly_less_than(X0,X1)
| ~ pair_in_list(sK0,X0,X1)
| ~ less_than(lookup_slb(sK0,X0),X0)
| ~ contains_slb(sK0,X0)
| bad = X2 ),
inference(resolution,[],[f202,f126]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ok(triple(X0,X1,X2))
| bad = X2 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( bad = X2
| ok(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1,X2] :
( ~ ok(triple(X0,X1,X2))
=> bad = X2 ),
file('/export/starexec/sandbox/tmp/tmp.iP7yPy713D/Vampire---4.8_19272',ax41) ).
fof(f202,plain,
! [X2,X3,X0,X1] :
( ~ ok(triple(remove_pqp(X0,X2),remove_slb(sK0,X2),X1))
| pair_in_list(remove_slb(sK0,X2),X2,X3)
| ~ strictly_less_than(X2,X3)
| ~ pair_in_list(sK0,X2,X3)
| ~ less_than(lookup_slb(sK0,X2),X2)
| ~ contains_slb(sK0,X2) ),
inference(superposition,[],[f93,f121]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ less_than(lookup_slb(X1,X3),X3)
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ less_than(lookup_slb(X1,X3),X3)
| ~ contains_slb(X1,X3) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ less_than(lookup_slb(X1,X3),X3)
| ~ contains_slb(X1,X3) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1,X2,X3] :
( ( less_than(lookup_slb(X1,X3),X3)
& contains_slb(X1,X3) )
=> remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2) ),
file('/export/starexec/sandbox/tmp/tmp.iP7yPy713D/Vampire---4.8_19272',ax44) ).
fof(f93,plain,
! [X10,X8,X9,X7] :
( ~ ok(remove_cpq(triple(X7,sK0,X8),X9))
| pair_in_list(remove_slb(sK0,X9),X9,X10)
| ~ strictly_less_than(X9,X10)
| ~ pair_in_list(sK0,X9,X10) ),
inference(cnf_transformation,[],[f84]) ).
fof(f286,plain,
( spl7_9
| spl7_1
| ~ spl7_4
| ~ spl7_6 ),
inference(avatar_split_clause,[],[f285,f191,f177,f159,f276]) ).
fof(f159,plain,
( spl7_1
<=> sK3 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f191,plain,
( spl7_6
<=> less_than(lookup_slb(insert_slb(sK0,pair(sK5,sK6)),sK3),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).
fof(f285,plain,
( less_than(lookup_slb(sK0,sK3),sK3)
| spl7_1
| ~ spl7_4
| ~ spl7_6 ),
inference(subsumption_resolution,[],[f284,f160]) ).
fof(f160,plain,
( sK3 != sK5
| spl7_1 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f284,plain,
( less_than(lookup_slb(sK0,sK3),sK3)
| sK3 = sK5
| ~ spl7_4
| ~ spl7_6 ),
inference(subsumption_resolution,[],[f283,f178]) ).
fof(f283,plain,
( less_than(lookup_slb(sK0,sK3),sK3)
| ~ contains_slb(sK0,sK3)
| sK3 = sK5
| ~ spl7_6 ),
inference(superposition,[],[f192,f109]) ).
fof(f109,plain,
! [X2,X3,X0,X1] :
( lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2)
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2)
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2)
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( ( contains_slb(X0,X2)
& X1 != X2 )
=> lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.iP7yPy713D/Vampire---4.8_19272',ax27) ).
fof(f192,plain,
( less_than(lookup_slb(insert_slb(sK0,pair(sK5,sK6)),sK3),sK3)
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f282,plain,
spl7_6,
inference(avatar_split_clause,[],[f281,f191]) ).
fof(f281,plain,
less_than(lookup_slb(insert_slb(sK0,pair(sK5,sK6)),sK3),sK3),
inference(subsumption_resolution,[],[f250,f142]) ).
fof(f142,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.iP7yPy713D/Vampire---4.8_19272',totality) ).
fof(f250,plain,
( less_than(lookup_slb(insert_slb(sK0,pair(sK5,sK6)),sK3),sK3)
| ~ less_than(sK3,lookup_slb(insert_slb(sK0,pair(sK5,sK6)),sK3)) ),
inference(resolution,[],[f200,f104]) ).
fof(f104,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) )
& ( ( ~ less_than(X1,X0)
& less_than(X0,X1) )
| ~ strictly_less_than(X0,X1) ) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) )
& ( ( ~ less_than(X1,X0)
& less_than(X0,X1) )
| ~ strictly_less_than(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( strictly_less_than(X0,X1)
<=> ( ~ less_than(X1,X0)
& less_than(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.iP7yPy713D/Vampire---4.8_19272',stricly_smaller_definition) ).
fof(f200,plain,
~ strictly_less_than(sK3,lookup_slb(insert_slb(sK0,pair(sK5,sK6)),sK3)),
inference(subsumption_resolution,[],[f199,f188]) ).
fof(f188,plain,
contains_slb(insert_slb(sK0,pair(sK5,sK6)),sK3),
inference(subsumption_resolution,[],[f185,f127]) ).
fof(f127,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(true_and_false_elimination,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( ok(triple(X0,X1,bad))
<=> $false ),
file('/export/starexec/sandbox/tmp/tmp.iP7yPy713D/Vampire---4.8_19272',ax40) ).
fof(f185,plain,
( ok(triple(sK1,insert_slb(sK0,pair(sK5,sK6)),bad))
| contains_slb(insert_slb(sK0,pair(sK5,sK6)),sK3) ),
inference(superposition,[],[f96,f124]) ).
fof(f124,plain,
! [X2,X3,X0,X1] :
( triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3)
| contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3)
| contains_slb(X1,X3) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1,X2,X3] :
( ~ contains_slb(X1,X3)
=> triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3) ),
file('/export/starexec/sandbox/tmp/tmp.iP7yPy713D/Vampire---4.8_19272',ax43) ).
fof(f96,plain,
ok(remove_cpq(triple(sK1,insert_slb(sK0,pair(sK5,sK6)),sK2),sK3)),
inference(cnf_transformation,[],[f84]) ).
fof(f199,plain,
( ~ strictly_less_than(sK3,lookup_slb(insert_slb(sK0,pair(sK5,sK6)),sK3))
| ~ contains_slb(insert_slb(sK0,pair(sK5,sK6)),sK3) ),
inference(subsumption_resolution,[],[f187,f127]) ).
fof(f187,plain,
( ok(triple(remove_pqp(sK1,sK3),remove_slb(insert_slb(sK0,pair(sK5,sK6)),sK3),bad))
| ~ strictly_less_than(sK3,lookup_slb(insert_slb(sK0,pair(sK5,sK6)),sK3))
| ~ contains_slb(insert_slb(sK0,pair(sK5,sK6)),sK3) ),
inference(superposition,[],[f96,f99]) ).
fof(f99,plain,
! [X2,X3,X0,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ strictly_less_than(X3,lookup_slb(X1,X3))
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ strictly_less_than(X3,lookup_slb(X1,X3))
| ~ contains_slb(X1,X3) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ strictly_less_than(X3,lookup_slb(X1,X3))
| ~ contains_slb(X1,X3) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1,X2,X3] :
( ( strictly_less_than(X3,lookup_slb(X1,X3))
& contains_slb(X1,X3) )
=> remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad) ),
file('/export/starexec/sandbox/tmp/tmp.iP7yPy713D/Vampire---4.8_19272',ax45) ).
fof(f280,plain,
( spl7_1
| spl7_4 ),
inference(avatar_split_clause,[],[f209,f177,f159]) ).
fof(f209,plain,
( contains_slb(sK0,sK3)
| sK3 = sK5 ),
inference(resolution,[],[f188,f117]) ).
fof(f117,plain,
! [X2,X3,X0,X1] :
( ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| contains_slb(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ( X1 != X2
& ~ contains_slb(X0,X2) ) )
& ( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ( X1 != X2
& ~ contains_slb(X0,X2) ) )
& ( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
<=> ( X1 = X2
| contains_slb(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.iP7yPy713D/Vampire---4.8_19272',ax21) ).
fof(f267,plain,
( ~ spl7_1
| ~ spl7_3 ),
inference(avatar_contradiction_clause,[],[f266]) ).
fof(f266,plain,
( $false
| ~ spl7_1
| ~ spl7_3 ),
inference(subsumption_resolution,[],[f265,f95]) ).
fof(f265,plain,
( ~ strictly_less_than(sK3,sK4)
| ~ spl7_1
| ~ spl7_3 ),
inference(forward_demodulation,[],[f264,f110]) ).
fof(f110,plain,
! [X2,X0,X1] : lookup_slb(insert_slb(X0,pair(X1,X2)),X1) = X2,
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] : lookup_slb(insert_slb(X0,pair(X1,X2)),X1) = X2,
file('/export/starexec/sandbox/tmp/tmp.iP7yPy713D/Vampire---4.8_19272',ax26) ).
fof(f264,plain,
( ~ strictly_less_than(sK3,lookup_slb(insert_slb(sK0,pair(sK3,sK4)),sK3))
| ~ spl7_1
| ~ spl7_3 ),
inference(forward_demodulation,[],[f252,f161]) ).
fof(f161,plain,
( sK3 = sK5
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f252,plain,
( ~ strictly_less_than(sK3,lookup_slb(insert_slb(sK0,pair(sK5,sK4)),sK3))
| ~ spl7_3 ),
inference(superposition,[],[f200,f170]) ).
fof(f170,plain,
( sK4 = sK6
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl7_3
<=> sK4 = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
fof(f219,plain,
( ~ spl7_2
| ~ spl7_1 ),
inference(avatar_split_clause,[],[f216,f159,f163]) ).
fof(f216,plain,
( ~ pair_in_list(sK0,sK3,sK4)
| ~ spl7_1 ),
inference(forward_demodulation,[],[f214,f112]) ).
fof(f112,plain,
! [X2,X0,X1] : remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0,
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] : remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0,
file('/export/starexec/sandbox/tmp/tmp.iP7yPy713D/Vampire---4.8_19272',ax24) ).
fof(f214,plain,
( ~ pair_in_list(remove_slb(insert_slb(sK0,pair(sK3,sK6)),sK3),sK3,sK4)
| ~ spl7_1 ),
inference(superposition,[],[f97,f161]) ).
fof(f184,plain,
( spl7_1
| ~ spl7_4
| ~ spl7_5 ),
inference(avatar_split_clause,[],[f175,f181,f177,f159]) ).
fof(f175,plain,
( ~ pair_in_list(insert_slb(remove_slb(sK0,sK3),pair(sK5,sK6)),sK3,sK4)
| ~ contains_slb(sK0,sK3)
| sK3 = sK5 ),
inference(superposition,[],[f97,f111]) ).
fof(f111,plain,
! [X2,X3,X0,X1] :
( remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3))
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3))
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3))
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2,X3] :
( ( contains_slb(X0,X2)
& X1 != X2 )
=> remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.iP7yPy713D/Vampire---4.8_19272',ax25) ).
fof(f171,plain,
( spl7_3
| spl7_2 ),
inference(avatar_split_clause,[],[f157,f163,f168]) ).
fof(f157,plain,
( pair_in_list(sK0,sK3,sK4)
| sK4 = sK6 ),
inference(resolution,[],[f94,f114]) ).
fof(f114,plain,
! [X2,X3,X0,X1,X4] :
( ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| pair_in_list(X0,X2,X4)
| X3 = X4 ),
inference(cnf_transformation,[],[f89]) ).
fof(f94,plain,
pair_in_list(insert_slb(sK0,pair(sK5,sK6)),sK3,sK4),
inference(cnf_transformation,[],[f84]) ).
fof(f166,plain,
( spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f156,f163,f159]) ).
fof(f156,plain,
( pair_in_list(sK0,sK3,sK4)
| sK3 = sK5 ),
inference(resolution,[],[f94,f113]) ).
fof(f113,plain,
! [X2,X3,X0,X1,X4] :
( ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| pair_in_list(X0,X2,X4)
| X1 = X2 ),
inference(cnf_transformation,[],[f89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV396+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n006.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 21:10:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.iP7yPy713D/Vampire---4.8_19272
% 0.55/0.74 % (19532)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.74 % (19526)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.74 % (19527)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.74 % (19529)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.74 % (19528)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74 % (19530)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.74 % (19531)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.75 % (19526)Refutation not found, incomplete strategy% (19526)------------------------------
% 0.55/0.75 % (19526)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (19526)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (19526)Memory used [KB]: 1085
% 0.55/0.75 % (19526)Time elapsed: 0.005 s
% 0.55/0.75 % (19526)Instructions burned: 5 (million)
% 0.55/0.75 % (19526)------------------------------
% 0.55/0.75 % (19526)------------------------------
% 0.55/0.75 % (19533)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.76 % (19529)Instruction limit reached!
% 0.55/0.76 % (19529)------------------------------
% 0.55/0.76 % (19529)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (19529)Termination reason: Unknown
% 0.55/0.76 % (19529)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (19529)Memory used [KB]: 1374
% 0.55/0.76 % (19529)Time elapsed: 0.018 s
% 0.55/0.76 % (19529)Instructions burned: 34 (million)
% 0.55/0.76 % (19529)------------------------------
% 0.55/0.76 % (19529)------------------------------
% 0.55/0.76 % (19530)Instruction limit reached!
% 0.55/0.76 % (19530)------------------------------
% 0.55/0.76 % (19530)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (19530)Termination reason: Unknown
% 0.55/0.76 % (19530)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (19530)Memory used [KB]: 1212
% 0.55/0.76 % (19530)Time elapsed: 0.020 s
% 0.55/0.76 % (19530)Instructions burned: 36 (million)
% 0.55/0.76 % (19530)------------------------------
% 0.55/0.76 % (19530)------------------------------
% 0.55/0.76 % (19531)Instruction limit reached!
% 0.55/0.76 % (19531)------------------------------
% 0.55/0.76 % (19531)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (19531)Termination reason: Unknown
% 0.55/0.76 % (19531)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (19531)Memory used [KB]: 1181
% 0.55/0.76 % (19531)Time elapsed: 0.021 s
% 0.55/0.76 % (19531)Instructions burned: 46 (million)
% 0.55/0.76 % (19531)------------------------------
% 0.55/0.76 % (19531)------------------------------
% 0.65/0.76 % (19535)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.65/0.77 % (19532)Instruction limit reached!
% 0.65/0.77 % (19532)------------------------------
% 0.65/0.77 % (19532)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.77 % (19536)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.65/0.77 % (19532)Termination reason: Unknown
% 0.65/0.77 % (19532)Termination phase: Saturation
% 0.65/0.77
% 0.65/0.77 % (19532)Memory used [KB]: 1347
% 0.65/0.77 % (19532)Time elapsed: 0.025 s
% 0.65/0.77 % (19532)Instructions burned: 86 (million)
% 0.65/0.77 % (19532)------------------------------
% 0.65/0.77 % (19532)------------------------------
% 0.65/0.77 % (19527)Instruction limit reached!
% 0.65/0.77 % (19527)------------------------------
% 0.65/0.77 % (19527)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.77 % (19527)Termination reason: Unknown
% 0.65/0.77 % (19527)Termination phase: Saturation
% 0.65/0.77
% 0.65/0.77 % (19527)Memory used [KB]: 1230
% 0.65/0.77 % (19527)Time elapsed: 0.025 s
% 0.65/0.77 % (19527)Instructions burned: 52 (million)
% 0.65/0.77 % (19527)------------------------------
% 0.65/0.77 % (19527)------------------------------
% 0.65/0.77 % (19537)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.65/0.77 % (19534)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.65/0.77 % (19538)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.65/0.77 % (19539)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.65/0.77 % (19538)First to succeed.
% 0.65/0.78 % (19538)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19522"
% 0.65/0.78 % (19538)Refutation found. Thanks to Tanya!
% 0.65/0.78 % SZS status Theorem for Vampire---4
% 0.65/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.78 % (19538)------------------------------
% 0.65/0.78 % (19538)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.78 % (19538)Termination reason: Refutation
% 0.65/0.78
% 0.65/0.78 % (19538)Memory used [KB]: 1333
% 0.65/0.78 % (19538)Time elapsed: 0.009 s
% 0.65/0.78 % (19538)Instructions burned: 23 (million)
% 0.65/0.78 % (19522)Success in time 0.42 s
% 0.65/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------