TSTP Solution File: SWV370+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV370+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n026.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 Aug 31 18:45:20 EDT 2022
% Result : Theorem 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 85 ( 5 unt; 0 def)
% Number of atoms : 260 ( 29 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 289 ( 114 ~; 120 |; 32 &)
% ( 17 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 195 ( 161 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f548,plain,
$false,
inference(avatar_sat_refutation,[],[f226,f241,f458,f496,f503,f533,f547]) ).
fof(f547,plain,
( spl7_2
| ~ spl7_3 ),
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f546,plain,
( $false
| spl7_2
| ~ spl7_3 ),
inference(subsumption_resolution,[],[f511,f236]) ).
fof(f236,plain,
( sK6 = sK4
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl7_3
<=> sK6 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
fof(f511,plain,
( sK6 != sK4
| spl7_2 ),
inference(resolution,[],[f224,f179]) ).
fof(f179,plain,
! [X2,X0,X1] :
( contains_pq(insert_pq(X2,X1),X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ( contains_pq(X2,X0)
| X0 = X1
| ~ contains_pq(insert_pq(X2,X1),X0) )
& ( contains_pq(insert_pq(X2,X1),X0)
| ( ~ contains_pq(X2,X0)
& X0 != X1 ) ) ),
inference(rectify,[],[f143]) ).
fof(f143,plain,
! [X1,X2,X0] :
( ( contains_pq(X0,X1)
| X1 = X2
| ~ contains_pq(insert_pq(X0,X2),X1) )
& ( contains_pq(insert_pq(X0,X2),X1)
| ( ~ contains_pq(X0,X1)
& X1 != X2 ) ) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X1,X2,X0] :
( ( contains_pq(X0,X1)
| X1 = X2
| ~ contains_pq(insert_pq(X0,X2),X1) )
& ( contains_pq(insert_pq(X0,X2),X1)
| ( ~ contains_pq(X0,X1)
& X1 != X2 ) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X1,X2,X0] :
( ( contains_pq(X0,X1)
| X1 = X2 )
<=> contains_pq(insert_pq(X0,X2),X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X2,X1] :
( ( contains_pq(X0,X2)
| X1 = X2 )
<=> contains_pq(insert_pq(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f224,plain,
( ~ contains_pq(insert_pq(i(triple(sK3,sK1,sK5)),sK6),sK4)
| spl7_2 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl7_2
<=> contains_pq(insert_pq(i(triple(sK3,sK1,sK5)),sK6),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f533,plain,
( ~ spl7_1
| spl7_3
| spl7_4 ),
inference(avatar_contradiction_clause,[],[f532]) ).
fof(f532,plain,
( $false
| ~ spl7_1
| spl7_3
| spl7_4 ),
inference(subsumption_resolution,[],[f528,f520]) ).
fof(f520,plain,
( contains_slb(sK1,sK4)
| ~ spl7_1
| spl7_3 ),
inference(unit_resulting_resolution,[],[f235,f518,f183]) ).
fof(f183,plain,
! [X2,X3,X0,X1] :
( ~ contains_slb(insert_slb(X1,pair(X2,X0)),X3)
| contains_slb(X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(insert_slb(X1,pair(X2,X0)),X3)
| ( X2 != X3
& ~ contains_slb(X1,X3) ) )
& ( X2 = X3
| contains_slb(X1,X3)
| ~ contains_slb(insert_slb(X1,pair(X2,X0)),X3) ) ),
inference(rectify,[],[f147]) ).
fof(f147,plain,
! [X2,X0,X1,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X2)),X3)
| ( X1 != X3
& ~ contains_slb(X0,X3) ) )
& ( X1 = X3
| contains_slb(X0,X3)
| ~ contains_slb(insert_slb(X0,pair(X1,X2)),X3) ) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
! [X2,X0,X1,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X2)),X3)
| ( X1 != X3
& ~ contains_slb(X0,X3) ) )
& ( X1 = X3
| contains_slb(X0,X3)
| ~ contains_slb(insert_slb(X0,pair(X1,X2)),X3) ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X2,X0,X1,X3] :
( contains_slb(insert_slb(X0,pair(X1,X2)),X3)
<=> ( X1 = X3
| contains_slb(X0,X3) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X3,X2] :
( ( contains_slb(X0,X2)
| X1 = X2 )
<=> contains_slb(insert_slb(X0,pair(X1,X3)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f518,plain,
( contains_slb(insert_slb(sK1,pair(sK6,sK2)),sK4)
| ~ spl7_1 ),
inference(unit_resulting_resolution,[],[f221,f195]) ).
fof(f195,plain,
! [X2,X3,X0,X1] :
( ~ contains_cpq(triple(X2,X3,X1),X0)
| contains_slb(X3,X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(X3,X0)
| ~ contains_cpq(triple(X2,X3,X1),X0) )
& ( contains_cpq(triple(X2,X3,X1),X0)
| ~ contains_slb(X3,X0) ) ),
inference(rectify,[],[f156]) ).
fof(f156,plain,
! [X2,X3,X1,X0] :
( ( contains_slb(X0,X2)
| ~ contains_cpq(triple(X1,X0,X3),X2) )
& ( contains_cpq(triple(X1,X0,X3),X2)
| ~ contains_slb(X0,X2) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X2,X3,X1,X0] :
( contains_slb(X0,X2)
<=> contains_cpq(triple(X1,X0,X3),X2) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X1,X0,X3,X2] :
( contains_cpq(triple(X0,X1,X2),X3)
<=> contains_slb(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
fof(f221,plain,
( contains_cpq(triple(sK3,insert_slb(sK1,pair(sK6,sK2)),sK5),sK4)
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl7_1
<=> contains_cpq(triple(sK3,insert_slb(sK1,pair(sK6,sK2)),sK5),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f235,plain,
( sK6 != sK4
| spl7_3 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f528,plain,
( ~ contains_slb(sK1,sK4)
| spl7_4 ),
inference(unit_resulting_resolution,[],[f239,f210]) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ contains_slb(sK1,X2)
| contains_pq(i(triple(X0,sK1,X1)),X2) ),
inference(resolution,[],[f206,f194]) ).
fof(f194,plain,
! [X2,X3,X0,X1] :
( contains_cpq(triple(X2,X3,X1),X0)
| ~ contains_slb(X3,X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f206,plain,
! [X2,X3,X1] :
( ~ contains_cpq(triple(X1,sK1,X3),X2)
| contains_pq(i(triple(X1,sK1,X3)),X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
( ! [X1,X2,X3] :
( ( contains_cpq(triple(X1,sK1,X3),X2)
| ~ contains_pq(i(triple(X1,sK1,X3)),X2) )
& ( contains_pq(i(triple(X1,sK1,X3)),X2)
| ~ contains_cpq(triple(X1,sK1,X3),X2) ) )
& ( ~ contains_cpq(triple(sK3,insert_slb(sK1,pair(sK6,sK2)),sK5),sK4)
| ~ contains_pq(i(triple(sK3,insert_slb(sK1,pair(sK6,sK2)),sK5)),sK4) )
& ( contains_cpq(triple(sK3,insert_slb(sK1,pair(sK6,sK2)),sK5),sK4)
| contains_pq(i(triple(sK3,insert_slb(sK1,pair(sK6,sK2)),sK5)),sK4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6])],[f165,f167,f166]) ).
fof(f166,plain,
( ? [X0] :
( ! [X1,X2,X3] :
( ( contains_cpq(triple(X1,X0,X3),X2)
| ~ contains_pq(i(triple(X1,X0,X3)),X2) )
& ( contains_pq(i(triple(X1,X0,X3)),X2)
| ~ contains_cpq(triple(X1,X0,X3),X2) ) )
& ? [X4,X5,X6,X7,X8] :
( ( ~ contains_cpq(triple(X5,insert_slb(X0,pair(X8,X4)),X7),X6)
| ~ contains_pq(i(triple(X5,insert_slb(X0,pair(X8,X4)),X7)),X6) )
& ( contains_cpq(triple(X5,insert_slb(X0,pair(X8,X4)),X7),X6)
| contains_pq(i(triple(X5,insert_slb(X0,pair(X8,X4)),X7)),X6) ) ) )
=> ( ! [X3,X2,X1] :
( ( contains_cpq(triple(X1,sK1,X3),X2)
| ~ contains_pq(i(triple(X1,sK1,X3)),X2) )
& ( contains_pq(i(triple(X1,sK1,X3)),X2)
| ~ contains_cpq(triple(X1,sK1,X3),X2) ) )
& ? [X8,X7,X6,X5,X4] :
( ( ~ contains_cpq(triple(X5,insert_slb(sK1,pair(X8,X4)),X7),X6)
| ~ contains_pq(i(triple(X5,insert_slb(sK1,pair(X8,X4)),X7)),X6) )
& ( contains_cpq(triple(X5,insert_slb(sK1,pair(X8,X4)),X7),X6)
| contains_pq(i(triple(X5,insert_slb(sK1,pair(X8,X4)),X7)),X6) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
( ? [X8,X7,X6,X5,X4] :
( ( ~ contains_cpq(triple(X5,insert_slb(sK1,pair(X8,X4)),X7),X6)
| ~ contains_pq(i(triple(X5,insert_slb(sK1,pair(X8,X4)),X7)),X6) )
& ( contains_cpq(triple(X5,insert_slb(sK1,pair(X8,X4)),X7),X6)
| contains_pq(i(triple(X5,insert_slb(sK1,pair(X8,X4)),X7)),X6) ) )
=> ( ( ~ contains_cpq(triple(sK3,insert_slb(sK1,pair(sK6,sK2)),sK5),sK4)
| ~ contains_pq(i(triple(sK3,insert_slb(sK1,pair(sK6,sK2)),sK5)),sK4) )
& ( contains_cpq(triple(sK3,insert_slb(sK1,pair(sK6,sK2)),sK5),sK4)
| contains_pq(i(triple(sK3,insert_slb(sK1,pair(sK6,sK2)),sK5)),sK4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
? [X0] :
( ! [X1,X2,X3] :
( ( contains_cpq(triple(X1,X0,X3),X2)
| ~ contains_pq(i(triple(X1,X0,X3)),X2) )
& ( contains_pq(i(triple(X1,X0,X3)),X2)
| ~ contains_cpq(triple(X1,X0,X3),X2) ) )
& ? [X4,X5,X6,X7,X8] :
( ( ~ contains_cpq(triple(X5,insert_slb(X0,pair(X8,X4)),X7),X6)
| ~ contains_pq(i(triple(X5,insert_slb(X0,pair(X8,X4)),X7)),X6) )
& ( contains_cpq(triple(X5,insert_slb(X0,pair(X8,X4)),X7),X6)
| contains_pq(i(triple(X5,insert_slb(X0,pair(X8,X4)),X7)),X6) ) ) ),
inference(rectify,[],[f164]) ).
fof(f164,plain,
? [X0] :
( ! [X3,X1,X2] :
( ( contains_cpq(triple(X3,X0,X2),X1)
| ~ contains_pq(i(triple(X3,X0,X2)),X1) )
& ( contains_pq(i(triple(X3,X0,X2)),X1)
| ~ contains_cpq(triple(X3,X0,X2),X1) ) )
& ? [X4,X8,X7,X6,X5] :
( ( ~ contains_cpq(triple(X8,insert_slb(X0,pair(X5,X4)),X6),X7)
| ~ contains_pq(i(triple(X8,insert_slb(X0,pair(X5,X4)),X6)),X7) )
& ( contains_cpq(triple(X8,insert_slb(X0,pair(X5,X4)),X6),X7)
| contains_pq(i(triple(X8,insert_slb(X0,pair(X5,X4)),X6)),X7) ) ) ),
inference(nnf_transformation,[],[f120]) ).
fof(f120,plain,
? [X0] :
( ! [X3,X1,X2] :
( contains_cpq(triple(X3,X0,X2),X1)
<=> contains_pq(i(triple(X3,X0,X2)),X1) )
& ? [X4,X8,X7,X6,X5] :
( contains_pq(i(triple(X8,insert_slb(X0,pair(X5,X4)),X6)),X7)
<~> contains_cpq(triple(X8,insert_slb(X0,pair(X5,X4)),X6),X7) ) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
~ ! [X0] :
( ! [X3,X1,X2] :
( contains_cpq(triple(X3,X0,X2),X1)
<=> contains_pq(i(triple(X3,X0,X2)),X1) )
=> ! [X6,X4,X8,X7,X5] :
( contains_cpq(triple(X8,insert_slb(X0,pair(X5,X4)),X6),X7)
<=> contains_pq(i(triple(X8,insert_slb(X0,pair(X5,X4)),X6)),X7) ) ),
inference(rectify,[],[f64]) ).
fof(f64,negated_conjecture,
~ ! [X0] :
( ! [X3,X2,X1] :
( contains_cpq(triple(X1,X0,X2),X3)
<=> contains_pq(i(triple(X1,X0,X2)),X3) )
=> ! [X7,X6,X5,X8,X4] :
( contains_pq(i(triple(X4,insert_slb(X0,pair(X6,X7)),X5)),X8)
<=> contains_cpq(triple(X4,insert_slb(X0,pair(X6,X7)),X5),X8) ) ),
inference(negated_conjecture,[],[f63]) ).
fof(f63,conjecture,
! [X0] :
( ! [X3,X2,X1] :
( contains_cpq(triple(X1,X0,X2),X3)
<=> contains_pq(i(triple(X1,X0,X2)),X3) )
=> ! [X7,X6,X5,X8,X4] :
( contains_pq(i(triple(X4,insert_slb(X0,pair(X6,X7)),X5)),X8)
<=> contains_cpq(triple(X4,insert_slb(X0,pair(X6,X7)),X5),X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6_co) ).
fof(f239,plain,
( ~ contains_pq(i(triple(sK3,sK1,sK5)),sK4)
| spl7_4 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f238,plain,
( spl7_4
<=> contains_pq(i(triple(sK3,sK1,sK5)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
fof(f503,plain,
( ~ spl7_1
| ~ spl7_4 ),
inference(avatar_contradiction_clause,[],[f502]) ).
fof(f502,plain,
( $false
| ~ spl7_1
| ~ spl7_4 ),
inference(subsumption_resolution,[],[f221,f499]) ).
fof(f499,plain,
( ~ contains_cpq(triple(sK3,insert_slb(sK1,pair(sK6,sK2)),sK5),sK4)
| ~ spl7_4 ),
inference(subsumption_resolution,[],[f209,f488]) ).
fof(f488,plain,
( ! [X0] : contains_pq(insert_pq(i(triple(sK3,sK1,sK5)),X0),sK4)
| ~ spl7_4 ),
inference(unit_resulting_resolution,[],[f240,f180]) ).
fof(f180,plain,
! [X2,X0,X1] :
( contains_pq(insert_pq(X2,X1),X0)
| ~ contains_pq(X2,X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f240,plain,
( contains_pq(i(triple(sK3,sK1,sK5)),sK4)
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f209,plain,
( ~ contains_cpq(triple(sK3,insert_slb(sK1,pair(sK6,sK2)),sK5),sK4)
| ~ contains_pq(insert_pq(i(triple(sK3,sK1,sK5)),sK6),sK4) ),
inference(forward_demodulation,[],[f205,f198]) ).
fof(f198,plain,
! [X2,X3,X0,X1,X4] : insert_pq(i(triple(X2,X0,X1)),X3) = i(triple(X2,insert_slb(X0,pair(X3,X4)),X1)),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] : insert_pq(i(triple(X2,X0,X1)),X3) = i(triple(X2,insert_slb(X0,pair(X3,X4)),X1)),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X4,X3,X0,X2,X1] : i(triple(X0,insert_slb(X4,pair(X2,X1)),X3)) = insert_pq(i(triple(X0,X4,X3)),X2),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X0,X4,X3,X2,X1] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f205,plain,
( ~ contains_cpq(triple(sK3,insert_slb(sK1,pair(sK6,sK2)),sK5),sK4)
| ~ contains_pq(i(triple(sK3,insert_slb(sK1,pair(sK6,sK2)),sK5)),sK4) ),
inference(cnf_transformation,[],[f168]) ).
fof(f496,plain,
( spl7_1
| ~ spl7_4 ),
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f495,plain,
( $false
| spl7_1
| ~ spl7_4 ),
inference(subsumption_resolution,[],[f487,f482]) ).
fof(f482,plain,
( ! [X0,X1] : ~ contains_cpq(triple(X0,sK1,X1),sK4)
| spl7_1 ),
inference(unit_resulting_resolution,[],[f472,f195]) ).
fof(f472,plain,
( ~ contains_slb(sK1,sK4)
| spl7_1 ),
inference(unit_resulting_resolution,[],[f470,f184]) ).
fof(f184,plain,
! [X2,X3,X0,X1] :
( contains_slb(insert_slb(X1,pair(X2,X0)),X3)
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f470,plain,
( ~ contains_slb(insert_slb(sK1,pair(sK6,sK2)),sK4)
| spl7_1 ),
inference(resolution,[],[f220,f194]) ).
fof(f220,plain,
( ~ contains_cpq(triple(sK3,insert_slb(sK1,pair(sK6,sK2)),sK5),sK4)
| spl7_1 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f487,plain,
( contains_cpq(triple(sK3,sK1,sK5),sK4)
| ~ spl7_4 ),
inference(unit_resulting_resolution,[],[f240,f207]) ).
fof(f207,plain,
! [X2,X3,X1] :
( contains_cpq(triple(X1,sK1,X3),X2)
| ~ contains_pq(i(triple(X1,sK1,X3)),X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f458,plain,
( ~ spl7_2
| ~ spl7_3 ),
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f457,plain,
( $false
| ~ spl7_2
| ~ spl7_3 ),
inference(subsumption_resolution,[],[f451,f381]) ).
fof(f381,plain,
( ! [X0,X1] : contains_slb(insert_slb(X0,pair(sK4,X1)),sK4)
| ~ spl7_3 ),
inference(forward_demodulation,[],[f284,f236]) ).
fof(f284,plain,
( ! [X0,X1] : contains_slb(insert_slb(X0,pair(sK4,X1)),sK6)
| ~ spl7_3 ),
inference(unit_resulting_resolution,[],[f236,f185]) ).
fof(f185,plain,
! [X2,X3,X0,X1] :
( contains_slb(insert_slb(X1,pair(X2,X0)),X3)
| X2 != X3 ),
inference(cnf_transformation,[],[f148]) ).
fof(f451,plain,
( ~ contains_slb(insert_slb(sK1,pair(sK4,sK2)),sK4)
| ~ spl7_2
| ~ spl7_3 ),
inference(unit_resulting_resolution,[],[f248,f194]) ).
fof(f248,plain,
( ~ contains_cpq(triple(sK3,insert_slb(sK1,pair(sK4,sK2)),sK5),sK4)
| ~ spl7_2
| ~ spl7_3 ),
inference(subsumption_resolution,[],[f247,f243]) ).
fof(f243,plain,
( contains_pq(insert_pq(i(triple(sK3,sK1,sK5)),sK4),sK4)
| ~ spl7_2
| ~ spl7_3 ),
inference(backward_demodulation,[],[f225,f236]) ).
fof(f225,plain,
( contains_pq(insert_pq(i(triple(sK3,sK1,sK5)),sK6),sK4)
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f247,plain,
( ~ contains_pq(insert_pq(i(triple(sK3,sK1,sK5)),sK4),sK4)
| ~ contains_cpq(triple(sK3,insert_slb(sK1,pair(sK4,sK2)),sK5),sK4)
| ~ spl7_3 ),
inference(forward_demodulation,[],[f242,f236]) ).
fof(f242,plain,
( ~ contains_pq(insert_pq(i(triple(sK3,sK1,sK5)),sK6),sK4)
| ~ contains_cpq(triple(sK3,insert_slb(sK1,pair(sK4,sK2)),sK5),sK4)
| ~ spl7_3 ),
inference(backward_demodulation,[],[f209,f236]) ).
fof(f241,plain,
( spl7_3
| spl7_4
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f229,f223,f238,f234]) ).
fof(f229,plain,
( contains_pq(i(triple(sK3,sK1,sK5)),sK4)
| sK6 = sK4
| ~ spl7_2 ),
inference(resolution,[],[f225,f181]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ contains_pq(insert_pq(X2,X1),X0)
| X0 = X1
| contains_pq(X2,X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f226,plain,
( spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f208,f223,f219]) ).
fof(f208,plain,
( contains_pq(insert_pq(i(triple(sK3,sK1,sK5)),sK6),sK4)
| contains_cpq(triple(sK3,insert_slb(sK1,pair(sK6,sK2)),sK5),sK4) ),
inference(forward_demodulation,[],[f204,f198]) ).
fof(f204,plain,
( contains_pq(i(triple(sK3,insert_slb(sK1,pair(sK6,sK2)),sK5)),sK4)
| contains_cpq(triple(sK3,insert_slb(sK1,pair(sK6,sK2)),sK5),sK4) ),
inference(cnf_transformation,[],[f168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV370+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 19:36:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.49 % (1308)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.18/0.49 % (1289)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.18/0.49 % (1289)Refutation not found, incomplete strategy% (1289)------------------------------
% 0.18/0.49 % (1289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (1300)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50 % (1289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (1289)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50
% 0.18/0.50 % (1289)Memory used [KB]: 6012
% 0.18/0.50 % (1289)Time elapsed: 0.093 s
% 0.18/0.50 % (1289)Instructions burned: 2 (million)
% 0.18/0.50 % (1289)------------------------------
% 0.18/0.50 % (1289)------------------------------
% 0.18/0.50 % (1299)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.18/0.51 % (1307)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.51 % (1301)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.52 % (1286)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.52 % (1281)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.52 % (1307)Refutation not found, incomplete strategy% (1307)------------------------------
% 0.18/0.52 % (1307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (1300)First to succeed.
% 0.18/0.52 % (1305)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52 % (1283)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.52 % (1306)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.53 % (1304)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.18/0.53 % (1280)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.53 % (1279)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.53 % (1300)Refutation found. Thanks to Tanya!
% 0.18/0.53 % SZS status Theorem for theBenchmark
% 0.18/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53 % (1300)------------------------------
% 0.18/0.53 % (1300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (1300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (1300)Termination reason: Refutation
% 0.18/0.53
% 0.18/0.53 % (1300)Memory used [KB]: 6268
% 0.18/0.53 % (1300)Time elapsed: 0.126 s
% 0.18/0.53 % (1300)Instructions burned: 16 (million)
% 0.18/0.53 % (1300)------------------------------
% 0.18/0.53 % (1300)------------------------------
% 0.18/0.53 % (1278)Success in time 0.184 s
%------------------------------------------------------------------------------