TSTP Solution File: SWC204+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC204+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n007.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 18:39:35 EDT 2022
% Result : Theorem 0.16s 0.51s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of formulae : 109 ( 10 unt; 0 def)
% Number of atoms : 502 ( 130 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 648 ( 255 ~; 259 |; 100 &)
% ( 11 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 96 ( 68 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f408,plain,
$false,
inference(avatar_sat_refutation,[],[f262,f263,f264,f265,f274,f323,f326,f334,f349,f407]) ).
fof(f407,plain,
( ~ spl10_1
| ~ spl10_5
| spl10_9
| ~ spl10_13 ),
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f406,plain,
( $false
| ~ spl10_1
| ~ spl10_5
| spl10_9
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f405,f290]) ).
fof(f290,plain,
( nil != sK8
| spl10_9 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl10_9
<=> nil = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f405,plain,
( nil = sK8
| ~ spl10_1
| ~ spl10_5
| spl10_9
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f404,f195]) ).
fof(f195,plain,
ssList(sK8),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( ssList(sK5)
& ssList(sK7)
& sK6 = sK8
& ssList(sK8)
& ( ( ~ neq(sK8,nil)
& neq(sK6,nil) )
| ( ! [X4] :
( ~ ssList(X4)
| sK8 = X4
| ! [X5] :
( app(sK7,X5) != X4
| tl(sK8) != X5
| ~ ssList(X5)
| ~ neq(nil,sK8) ) )
& ~ neq(sK5,nil)
& neq(sK6,nil) ) )
& sK7 = sK5
& ssList(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f131,f152,f151,f150,f149]) ).
fof(f149,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ! [X4] :
( ~ ssList(X4)
| X3 = X4
| ! [X5] :
( app(X2,X5) != X4
| tl(X3) != X5
| ~ ssList(X5)
| ~ neq(nil,X3) ) )
& ~ neq(X0,nil)
& neq(X1,nil) ) )
& X0 = X2 ) )
& ssList(X1) ) )
=> ( ssList(sK5)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ! [X4] :
( ~ ssList(X4)
| X3 = X4
| ! [X5] :
( app(X2,X5) != X4
| tl(X3) != X5
| ~ ssList(X5)
| ~ neq(nil,X3) ) )
& ~ neq(sK5,nil)
& neq(X1,nil) ) )
& sK5 = X2 ) )
& ssList(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ! [X4] :
( ~ ssList(X4)
| X3 = X4
| ! [X5] :
( app(X2,X5) != X4
| tl(X3) != X5
| ~ ssList(X5)
| ~ neq(nil,X3) ) )
& ~ neq(sK5,nil)
& neq(X1,nil) ) )
& sK5 = X2 ) )
& ssList(X1) )
=> ( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK6 = X3
& ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(sK6,nil) )
| ( ! [X4] :
( ~ ssList(X4)
| X3 = X4
| ! [X5] :
( app(X2,X5) != X4
| tl(X3) != X5
| ~ ssList(X5)
| ~ neq(nil,X3) ) )
& ~ neq(sK5,nil)
& neq(sK6,nil) ) )
& sK5 = X2 ) )
& ssList(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK6 = X3
& ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(sK6,nil) )
| ( ! [X4] :
( ~ ssList(X4)
| X3 = X4
| ! [X5] :
( app(X2,X5) != X4
| tl(X3) != X5
| ~ ssList(X5)
| ~ neq(nil,X3) ) )
& ~ neq(sK5,nil)
& neq(sK6,nil) ) )
& sK5 = X2 ) )
=> ( ssList(sK7)
& ? [X3] :
( sK6 = X3
& ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(sK6,nil) )
| ( ! [X4] :
( ~ ssList(X4)
| X3 = X4
| ! [X5] :
( app(sK7,X5) != X4
| tl(X3) != X5
| ~ ssList(X5)
| ~ neq(nil,X3) ) )
& ~ neq(sK5,nil)
& neq(sK6,nil) ) )
& sK7 = sK5 ) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
( ? [X3] :
( sK6 = X3
& ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(sK6,nil) )
| ( ! [X4] :
( ~ ssList(X4)
| X3 = X4
| ! [X5] :
( app(sK7,X5) != X4
| tl(X3) != X5
| ~ ssList(X5)
| ~ neq(nil,X3) ) )
& ~ neq(sK5,nil)
& neq(sK6,nil) ) )
& sK7 = sK5 )
=> ( sK6 = sK8
& ssList(sK8)
& ( ( ~ neq(sK8,nil)
& neq(sK6,nil) )
| ( ! [X4] :
( ~ ssList(X4)
| sK8 = X4
| ! [X5] :
( app(sK7,X5) != X4
| tl(sK8) != X5
| ~ ssList(X5)
| ~ neq(nil,sK8) ) )
& ~ neq(sK5,nil)
& neq(sK6,nil) ) )
& sK7 = sK5 ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ! [X4] :
( ~ ssList(X4)
| X3 = X4
| ! [X5] :
( app(X2,X5) != X4
| tl(X3) != X5
| ~ ssList(X5)
| ~ neq(nil,X3) ) )
& ~ neq(X0,nil)
& neq(X1,nil) ) )
& X0 = X2 ) )
& ssList(X1) ) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X0 = X2
& X1 = X3
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ! [X4] :
( ~ ssList(X4)
| X3 = X4
| ! [X5] :
( app(X2,X5) != X4
| tl(X3) != X5
| ~ ssList(X5)
| ~ neq(nil,X3) ) )
& ~ neq(X0,nil)
& neq(X1,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| X1 != X3
| ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ? [X4] :
( X3 != X4
& ssList(X4)
& ? [X5] :
( neq(nil,X3)
& tl(X3) = X5
& ssList(X5)
& app(X2,X5) = X4 ) )
| neq(X0,nil)
| ~ neq(X1,nil) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| X1 != X3
| ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ? [X4] :
( X3 != X4
& ssList(X4)
& ? [X5] :
( neq(nil,X3)
& tl(X3) = X5
& ssList(X5)
& app(X2,X5) = X4 ) )
| neq(X0,nil)
| ~ neq(X1,nil) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f404,plain,
( ~ ssList(sK8)
| nil = sK8
| ~ spl10_1
| ~ spl10_5
| spl10_9
| ~ spl10_13 ),
inference(resolution,[],[f403,f182]) ).
fof(f182,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f403,plain,
( ~ ssItem(hd(sK8))
| ~ spl10_1
| ~ spl10_5
| spl10_9
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f402,f195]) ).
fof(f402,plain,
( ~ ssList(sK8)
| ~ ssItem(hd(sK8))
| ~ spl10_1
| ~ spl10_5
| spl10_9
| ~ spl10_13 ),
inference(trivial_inequality_removal,[],[f400]) ).
fof(f400,plain,
( ~ ssList(sK8)
| ~ ssItem(hd(sK8))
| sK8 != sK8
| ~ spl10_1
| ~ spl10_5
| spl10_9
| ~ spl10_13 ),
inference(superposition,[],[f184,f384]) ).
fof(f384,plain,
( cons(hd(sK8),sK8) = sK8
| ~ spl10_1
| ~ spl10_5
| spl10_9
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f383,f290]) ).
fof(f383,plain,
( cons(hd(sK8),sK8) = sK8
| nil = sK8
| ~ spl10_1
| ~ spl10_5
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f375,f195]) ).
fof(f375,plain,
( cons(hd(sK8),sK8) = sK8
| ~ ssList(sK8)
| nil = sK8
| ~ spl10_1
| ~ spl10_5
| ~ spl10_13 ),
inference(superposition,[],[f162,f357]) ).
fof(f357,plain,
( sK8 = tl(sK8)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f355,f229]) ).
fof(f229,plain,
( ssList(tl(sK8))
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl10_1
<=> ssList(tl(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f355,plain,
( sK8 = tl(sK8)
| ~ ssList(tl(sK8))
| ~ spl10_5
| ~ spl10_13 ),
inference(superposition,[],[f186,f350]) ).
fof(f350,plain,
( sK8 = app(nil,tl(sK8))
| ~ spl10_5
| ~ spl10_13 ),
inference(forward_demodulation,[],[f246,f308]) ).
fof(f308,plain,
( nil = sK5
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl10_13
<=> nil = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f246,plain,
( sK8 = app(sK5,tl(sK8))
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f244,plain,
( spl10_5
<=> sK8 = app(sK5,tl(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f186,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f162,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0)
| nil = X0 ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
fof(f184,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) != X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f349,plain,
( ~ spl10_1
| spl10_3
| ~ spl10_13 ),
inference(avatar_contradiction_clause,[],[f348]) ).
fof(f348,plain,
( $false
| ~ spl10_1
| spl10_3
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f344,f229]) ).
fof(f344,plain,
( ~ ssList(tl(sK8))
| spl10_3
| ~ spl10_13 ),
inference(duplicate_literal_removal,[],[f343]) ).
fof(f343,plain,
( ~ ssList(tl(sK8))
| ~ ssList(tl(sK8))
| spl10_3
| ~ spl10_13 ),
inference(superposition,[],[f341,f186]) ).
fof(f341,plain,
( ~ ssList(app(nil,tl(sK8)))
| spl10_3
| ~ spl10_13 ),
inference(forward_demodulation,[],[f238,f308]) ).
fof(f238,plain,
( ~ ssList(app(sK5,tl(sK8)))
| spl10_3 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl10_3
<=> ssList(app(sK5,tl(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f334,plain,
( ~ spl10_4
| ~ spl10_7
| ~ spl10_9 ),
inference(avatar_contradiction_clause,[],[f333]) ).
fof(f333,plain,
( $false
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9 ),
inference(subsumption_resolution,[],[f332,f254]) ).
fof(f254,plain,
( ssList(nil)
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl10_7
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f332,plain,
( ~ ssList(nil)
| ~ spl10_4
| ~ spl10_9 ),
inference(resolution,[],[f327,f224]) ).
fof(f224,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f222]) ).
fof(f222,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f203]) ).
fof(f203,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( X0 != X1
| ~ neq(X0,X1) )
& ( neq(X0,X1)
| X0 = X1 ) ) ) ),
inference(nnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( X0 != X1
<=> neq(X0,X1) ) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( X0 != X1
<=> neq(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f327,plain,
( neq(nil,nil)
| ~ spl10_4
| ~ spl10_9 ),
inference(backward_demodulation,[],[f242,f291]) ).
fof(f291,plain,
( nil = sK8
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f242,plain,
( neq(sK8,nil)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl10_4
<=> neq(sK8,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f326,plain,
( spl10_13
| ~ spl10_7
| spl10_8 ),
inference(avatar_split_clause,[],[f325,f258,f253,f306]) ).
fof(f258,plain,
( spl10_8
<=> neq(sK5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f325,plain,
( nil = sK5
| ~ spl10_7
| spl10_8 ),
inference(subsumption_resolution,[],[f324,f254]) ).
fof(f324,plain,
( ~ ssList(nil)
| nil = sK5
| spl10_8 ),
inference(subsumption_resolution,[],[f315,f198]) ).
fof(f198,plain,
ssList(sK5),
inference(cnf_transformation,[],[f153]) ).
fof(f315,plain,
( nil = sK5
| ~ ssList(sK5)
| ~ ssList(nil)
| spl10_8 ),
inference(resolution,[],[f202,f260]) ).
fof(f260,plain,
( ~ neq(sK5,nil)
| spl10_8 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f202,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f323,plain,
( spl10_9
| spl10_2
| ~ spl10_7 ),
inference(avatar_split_clause,[],[f322,f253,f232,f289]) ).
fof(f232,plain,
( spl10_2
<=> neq(nil,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f322,plain,
( nil = sK8
| spl10_2
| ~ spl10_7 ),
inference(subsumption_resolution,[],[f321,f195]) ).
fof(f321,plain,
( ~ ssList(sK8)
| nil = sK8
| spl10_2
| ~ spl10_7 ),
inference(subsumption_resolution,[],[f318,f254]) ).
fof(f318,plain,
( ~ ssList(nil)
| nil = sK8
| ~ ssList(sK8)
| spl10_2 ),
inference(resolution,[],[f202,f234]) ).
fof(f234,plain,
( ~ neq(nil,sK8)
| spl10_2 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f274,plain,
( spl10_1
| ~ spl10_4
| ~ spl10_7 ),
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f273,plain,
( $false
| spl10_1
| ~ spl10_4
| ~ spl10_7 ),
inference(subsumption_resolution,[],[f272,f254]) ).
fof(f272,plain,
( ~ ssList(nil)
| spl10_1
| ~ spl10_4 ),
inference(resolution,[],[f268,f224]) ).
fof(f268,plain,
( neq(nil,nil)
| spl10_1
| ~ spl10_4 ),
inference(backward_demodulation,[],[f242,f267]) ).
fof(f267,plain,
( nil = sK8
| spl10_1 ),
inference(subsumption_resolution,[],[f266,f195]) ).
fof(f266,plain,
( nil = sK8
| ~ ssList(sK8)
| spl10_1 ),
inference(resolution,[],[f165,f230]) ).
fof(f230,plain,
( ~ ssList(tl(sK8))
| spl10_1 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f165,plain,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ~ ssList(X0)
| ssList(tl(X0))
| nil = X0 ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f265,plain,
spl10_7,
inference(avatar_split_clause,[],[f181,f253]) ).
fof(f181,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f264,plain,
spl10_4,
inference(avatar_split_clause,[],[f223,f240]) ).
fof(f223,plain,
neq(sK8,nil),
inference(duplicate_literal_removal,[],[f213]) ).
fof(f213,plain,
( neq(sK8,nil)
| neq(sK8,nil) ),
inference(definition_unfolding,[],[f189,f196,f196]) ).
fof(f196,plain,
sK6 = sK8,
inference(cnf_transformation,[],[f153]) ).
fof(f189,plain,
( neq(sK6,nil)
| neq(sK6,nil) ),
inference(cnf_transformation,[],[f153]) ).
fof(f263,plain,
( spl10_5
| ~ spl10_2
| ~ spl10_4
| ~ spl10_3
| ~ spl10_1 ),
inference(avatar_split_clause,[],[f219,f228,f236,f240,f232,f244]) ).
fof(f219,plain,
( ~ ssList(tl(sK8))
| ~ ssList(app(sK5,tl(sK8)))
| ~ neq(sK8,nil)
| ~ neq(nil,sK8)
| sK8 = app(sK5,tl(sK8)) ),
inference(equality_resolution,[],[f218]) ).
fof(f218,plain,
! [X5] :
( ~ neq(sK8,nil)
| ~ ssList(app(sK5,X5))
| app(sK5,X5) = sK8
| tl(sK8) != X5
| ~ ssList(X5)
| ~ neq(nil,sK8) ),
inference(equality_resolution,[],[f209]) ).
fof(f209,plain,
! [X4,X5] :
( ~ neq(sK8,nil)
| ~ ssList(X4)
| sK8 = X4
| app(sK5,X5) != X4
| tl(sK8) != X5
| ~ ssList(X5)
| ~ neq(nil,sK8) ),
inference(definition_unfolding,[],[f194,f188]) ).
fof(f188,plain,
sK7 = sK5,
inference(cnf_transformation,[],[f153]) ).
fof(f194,plain,
! [X4,X5] :
( ~ neq(sK8,nil)
| ~ ssList(X4)
| sK8 = X4
| app(sK7,X5) != X4
| tl(sK8) != X5
| ~ ssList(X5)
| ~ neq(nil,sK8) ),
inference(cnf_transformation,[],[f153]) ).
fof(f262,plain,
( ~ spl10_8
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f193,f240,f258]) ).
fof(f193,plain,
( ~ neq(sK8,nil)
| ~ neq(sK5,nil) ),
inference(cnf_transformation,[],[f153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWC204+1 : TPTP v8.1.0. Released v2.4.0.
% 0.02/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 18:19:16 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.16/0.44 % (27120)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.16/0.44 % (27123)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.16/0.45 % (27127)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.16/0.45 % (27128)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.46 % (27119)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)
% 0.16/0.46 % (27138)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.16/0.46 % (27131)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.47 % (27135)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)
% 0.16/0.47 % (27125)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)
% 0.16/0.47 % (27116)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)
% 0.16/0.47 % (27125)Refutation not found, incomplete strategy% (27125)------------------------------
% 0.16/0.47 % (27125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.47 % (27125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.47 % (27125)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.47
% 0.16/0.47 % (27125)Memory used [KB]: 6140
% 0.16/0.47 % (27125)Time elapsed: 0.120 s
% 0.16/0.47 % (27125)Instructions burned: 4 (million)
% 0.16/0.47 % (27125)------------------------------
% 0.16/0.47 % (27125)------------------------------
% 0.16/0.47 % (27122)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)
% 0.16/0.47 % (27127)Instruction limit reached!
% 0.16/0.47 % (27127)------------------------------
% 0.16/0.47 % (27127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.47 % (27139)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.48 % (27137)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)
% 0.16/0.48 % (27120)Instruction limit reached!
% 0.16/0.48 % (27120)------------------------------
% 0.16/0.48 % (27120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (27120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48 % (27132)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.48 % (27120)Termination reason: Unknown
% 0.16/0.48 % (27120)Termination phase: Saturation
% 0.16/0.48
% 0.16/0.48 % (27120)Memory used [KB]: 1663
% 0.16/0.48 % (27120)Time elapsed: 0.095 s
% 0.16/0.48 % (27120)Instructions burned: 15 (million)
% 0.16/0.48 % (27120)------------------------------
% 0.16/0.48 % (27120)------------------------------
% 0.16/0.48 % (27118)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.48 % (27132)Instruction limit reached!
% 0.16/0.48 % (27132)------------------------------
% 0.16/0.48 % (27132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (27115)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.16/0.48 % (27116)Instruction limit reached!
% 0.16/0.48 % (27116)------------------------------
% 0.16/0.48 % (27116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (27141)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)
% 0.16/0.48 % (27129)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.48 % (27130)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.48 % (27144)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)
% 0.16/0.48 % (27124)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.16/0.49 % (27119)Instruction limit reached!
% 0.16/0.49 % (27119)------------------------------
% 0.16/0.49 % (27119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (27132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (27132)Termination reason: Unknown
% 0.16/0.49 % (27132)Termination phase: Preprocessing 3
% 0.16/0.49
% 0.16/0.49 % (27132)Memory used [KB]: 1663
% 0.16/0.49 % (27132)Time elapsed: 0.003 s
% 0.16/0.49 % (27132)Instructions burned: 3 (million)
% 0.16/0.49 % (27132)------------------------------
% 0.16/0.49 % (27132)------------------------------
% 0.16/0.49 % (27133)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.49 % (27127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (27127)Termination reason: Unknown
% 0.16/0.49 % (27127)Termination phase: Saturation
% 0.16/0.49
% 0.16/0.49 % (27127)Memory used [KB]: 2046
% 0.16/0.49 % (27127)Time elapsed: 0.128 s
% 0.16/0.49 % (27127)Instructions burned: 17 (million)
% 0.16/0.49 % (27127)------------------------------
% 0.16/0.49 % (27127)------------------------------
% 0.16/0.49 % (27119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (27119)Termination reason: Unknown
% 0.16/0.49 % (27119)Termination phase: Saturation
% 0.16/0.49
% 0.16/0.49 % (27119)Memory used [KB]: 6268
% 0.16/0.49 % (27119)Time elapsed: 0.138 s
% 0.16/0.49 % (27119)Instructions burned: 14 (million)
% 0.16/0.49 % (27119)------------------------------
% 0.16/0.49 % (27119)------------------------------
% 0.16/0.50 % (27117)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)
% 0.16/0.50 % (27129)Instruction limit reached!
% 0.16/0.50 % (27129)------------------------------
% 0.16/0.50 % (27129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (27129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (27129)Termination reason: Unknown
% 0.16/0.50 % (27129)Termination phase: Preprocessing 3
% 0.16/0.50
% 0.16/0.50 % (27129)Memory used [KB]: 1663
% 0.16/0.50 % (27129)Time elapsed: 0.004 s
% 0.16/0.50 % (27129)Instructions burned: 5 (million)
% 0.16/0.50 % (27129)------------------------------
% 0.16/0.50 % (27129)------------------------------
% 0.16/0.50 % (27116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (27116)Termination reason: Unknown
% 0.16/0.50 % (27116)Termination phase: Saturation
% 0.16/0.50
% 0.16/0.50 % (27116)Memory used [KB]: 6396
% 0.16/0.50 % (27116)Time elapsed: 0.095 s
% 0.16/0.50 % (27116)Instructions burned: 14 (million)
% 0.16/0.50 % (27116)------------------------------
% 0.16/0.50 % (27116)------------------------------
% 0.16/0.50 % (27117)Instruction limit reached!
% 0.16/0.50 % (27117)------------------------------
% 0.16/0.50 % (27117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (27117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (27117)Termination reason: Unknown
% 0.16/0.50 % (27117)Termination phase: Preprocessing 3
% 0.16/0.50
% 0.16/0.50 % (27117)Memory used [KB]: 1535
% 0.16/0.50 % (27117)Time elapsed: 0.004 s
% 0.16/0.50 % (27117)Instructions burned: 3 (million)
% 0.16/0.50 % (27117)------------------------------
% 0.16/0.50 % (27117)------------------------------
% 0.16/0.50 % (27130)Instruction limit reached!
% 0.16/0.50 % (27130)------------------------------
% 0.16/0.50 % (27130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (27130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (27130)Termination reason: Unknown
% 0.16/0.50 % (27130)Termination phase: Function definition elimination
% 0.16/0.50
% 0.16/0.50 % (27130)Memory used [KB]: 1791
% 0.16/0.50 % (27130)Time elapsed: 0.006 s
% 0.16/0.50 % (27130)Instructions burned: 8 (million)
% 0.16/0.50 % (27130)------------------------------
% 0.16/0.50 % (27130)------------------------------
% 0.16/0.50 % (27121)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.50 % (27126)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.50 % (27136)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)
% 0.16/0.51 % (27143)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)
% 0.16/0.51 % (27121)First to succeed.
% 0.16/0.51 % (27126)Instruction limit reached!
% 0.16/0.51 % (27126)------------------------------
% 0.16/0.51 % (27126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (27126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (27126)Termination reason: Unknown
% 0.16/0.51 % (27126)Termination phase: Saturation
% 0.16/0.51
% 0.16/0.51 % (27126)Memory used [KB]: 6140
% 0.16/0.51 % (27126)Time elapsed: 0.151 s
% 0.16/0.51 % (27126)Instructions burned: 7 (million)
% 0.16/0.51 % (27126)------------------------------
% 0.16/0.51 % (27126)------------------------------
% 0.16/0.51 % (27134)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.16/0.51 % (27115)Also succeeded, but the first one will report.
% 0.16/0.51 % (27133)Instruction limit reached!
% 0.16/0.51 % (27133)------------------------------
% 0.16/0.51 % (27133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (27133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (27133)Termination reason: Unknown
% 0.16/0.51 % (27133)Termination phase: Function definition elimination
% 0.16/0.51
% 0.16/0.51 % (27133)Memory used [KB]: 1535
% 0.16/0.51 % (27133)Time elapsed: 0.003 s
% 0.16/0.51 % (27133)Instructions burned: 3 (million)
% 0.16/0.51 % (27133)------------------------------
% 0.16/0.51 % (27133)------------------------------
% 0.16/0.51 % (27121)Refutation found. Thanks to Tanya!
% 0.16/0.51 % SZS status Theorem for theBenchmark
% 0.16/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.51 % (27121)------------------------------
% 0.16/0.51 % (27121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (27121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (27121)Termination reason: Refutation
% 0.16/0.51
% 0.16/0.51 % (27121)Memory used [KB]: 6140
% 0.16/0.51 % (27121)Time elapsed: 0.115 s
% 0.16/0.51 % (27121)Instructions burned: 9 (million)
% 0.16/0.51 % (27121)------------------------------
% 0.16/0.51 % (27121)------------------------------
% 0.16/0.51 % (27114)Success in time 0.193 s
%------------------------------------------------------------------------------