TSTP Solution File: SWC399+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC399+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 : n028.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 18:40:57 EDT 2022
% Result : Theorem 1.63s 0.55s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 55 ( 14 unt; 0 def)
% Number of atoms : 526 ( 150 equ)
% Maximal formula atoms : 50 ( 9 avg)
% Number of connectives : 746 ( 275 ~; 237 |; 206 &)
% ( 4 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 221 ( 144 !; 77 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f471,plain,
$false,
inference(avatar_sat_refutation,[],[f344,f424,f470]) ).
fof(f470,plain,
~ spl17_7,
inference(avatar_contradiction_clause,[],[f469]) ).
fof(f469,plain,
( $false
| ~ spl17_7 ),
inference(subsumption_resolution,[],[f468,f164]) ).
fof(f164,plain,
~ memberP(sK1,sK6),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ssList(sK0)
& ssList(sK1)
& ssList(sK2)
& ssList(sK4)
& equalelemsP(sK2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| sK5 != app(cons(X6,nil),X7)
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != sK2 ) ) )
& app(app(sK4,sK2),sK5) = sK3
& ssList(sK5)
& ! [X9] :
( ~ ssItem(X9)
| ! [X10] :
( sK4 != app(X10,cons(X9,nil))
| ~ ssList(X10)
| ! [X11] :
( ~ ssList(X11)
| sK2 != app(cons(X9,nil),X11) ) ) )
& ssList(sK3)
& ( nil != sK2
| nil = sK3 )
& sK3 = sK1
& sK0 = sK2
& ssItem(sK6)
& ~ memberP(sK1,sK6)
& memberP(sK0,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f127,f134,f133,f132,f131,f130,f129,f128]) ).
fof(f128,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ? [X4] :
( ssList(X4)
& ? [X5] :
( equalelemsP(X2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != X2 ) ) )
& app(app(X4,X2),X5) = X3
& ssList(X5)
& ! [X9] :
( ~ ssItem(X9)
| ! [X10] :
( app(X10,cons(X9,nil)) != X4
| ~ ssList(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X9,nil),X11) != X2 ) ) ) ) )
& ssList(X3)
& ( nil != X2
| nil = X3 )
& X1 = X3
& X0 = X2
& ? [X12] :
( ssItem(X12)
& ~ memberP(X1,X12)
& memberP(X0,X12) ) ) ) ) )
=> ( ssList(sK0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ? [X4] :
( ssList(X4)
& ? [X5] :
( equalelemsP(X2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != X2 ) ) )
& app(app(X4,X2),X5) = X3
& ssList(X5)
& ! [X9] :
( ~ ssItem(X9)
| ! [X10] :
( app(X10,cons(X9,nil)) != X4
| ~ ssList(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X9,nil),X11) != X2 ) ) ) ) )
& ssList(X3)
& ( nil != X2
| nil = X3 )
& X1 = X3
& sK0 = X2
& ? [X12] :
( ssItem(X12)
& ~ memberP(X1,X12)
& memberP(sK0,X12) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ? [X4] :
( ssList(X4)
& ? [X5] :
( equalelemsP(X2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != X2 ) ) )
& app(app(X4,X2),X5) = X3
& ssList(X5)
& ! [X9] :
( ~ ssItem(X9)
| ! [X10] :
( app(X10,cons(X9,nil)) != X4
| ~ ssList(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X9,nil),X11) != X2 ) ) ) ) )
& ssList(X3)
& ( nil != X2
| nil = X3 )
& X1 = X3
& sK0 = X2
& ? [X12] :
( ssItem(X12)
& ~ memberP(X1,X12)
& memberP(sK0,X12) ) ) ) )
=> ( ssList(sK1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ? [X4] :
( ssList(X4)
& ? [X5] :
( equalelemsP(X2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != X2 ) ) )
& app(app(X4,X2),X5) = X3
& ssList(X5)
& ! [X9] :
( ~ ssItem(X9)
| ! [X10] :
( app(X10,cons(X9,nil)) != X4
| ~ ssList(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X9,nil),X11) != X2 ) ) ) ) )
& ssList(X3)
& ( nil != X2
| nil = X3 )
& sK1 = X3
& sK0 = X2
& ? [X12] :
( ssItem(X12)
& ~ memberP(sK1,X12)
& memberP(sK0,X12) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ? [X4] :
( ssList(X4)
& ? [X5] :
( equalelemsP(X2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != X2 ) ) )
& app(app(X4,X2),X5) = X3
& ssList(X5)
& ! [X9] :
( ~ ssItem(X9)
| ! [X10] :
( app(X10,cons(X9,nil)) != X4
| ~ ssList(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X9,nil),X11) != X2 ) ) ) ) )
& ssList(X3)
& ( nil != X2
| nil = X3 )
& sK1 = X3
& sK0 = X2
& ? [X12] :
( ssItem(X12)
& ~ memberP(sK1,X12)
& memberP(sK0,X12) ) ) )
=> ( ssList(sK2)
& ? [X3] :
( ? [X4] :
( ssList(X4)
& ? [X5] :
( equalelemsP(sK2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != sK2 ) ) )
& app(app(X4,sK2),X5) = X3
& ssList(X5)
& ! [X9] :
( ~ ssItem(X9)
| ! [X10] :
( app(X10,cons(X9,nil)) != X4
| ~ ssList(X10)
| ! [X11] :
( ~ ssList(X11)
| sK2 != app(cons(X9,nil),X11) ) ) ) ) )
& ssList(X3)
& ( nil != sK2
| nil = X3 )
& sK1 = X3
& sK0 = sK2
& ? [X12] :
( ssItem(X12)
& ~ memberP(sK1,X12)
& memberP(sK0,X12) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
( ? [X3] :
( ? [X4] :
( ssList(X4)
& ? [X5] :
( equalelemsP(sK2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != sK2 ) ) )
& app(app(X4,sK2),X5) = X3
& ssList(X5)
& ! [X9] :
( ~ ssItem(X9)
| ! [X10] :
( app(X10,cons(X9,nil)) != X4
| ~ ssList(X10)
| ! [X11] :
( ~ ssList(X11)
| sK2 != app(cons(X9,nil),X11) ) ) ) ) )
& ssList(X3)
& ( nil != sK2
| nil = X3 )
& sK1 = X3
& sK0 = sK2
& ? [X12] :
( ssItem(X12)
& ~ memberP(sK1,X12)
& memberP(sK0,X12) ) )
=> ( ? [X4] :
( ssList(X4)
& ? [X5] :
( equalelemsP(sK2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != sK2 ) ) )
& app(app(X4,sK2),X5) = sK3
& ssList(X5)
& ! [X9] :
( ~ ssItem(X9)
| ! [X10] :
( app(X10,cons(X9,nil)) != X4
| ~ ssList(X10)
| ! [X11] :
( ~ ssList(X11)
| sK2 != app(cons(X9,nil),X11) ) ) ) ) )
& ssList(sK3)
& ( nil != sK2
| nil = sK3 )
& sK3 = sK1
& sK0 = sK2
& ? [X12] :
( ssItem(X12)
& ~ memberP(sK1,X12)
& memberP(sK0,X12) ) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
( ? [X4] :
( ssList(X4)
& ? [X5] :
( equalelemsP(sK2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != sK2 ) ) )
& app(app(X4,sK2),X5) = sK3
& ssList(X5)
& ! [X9] :
( ~ ssItem(X9)
| ! [X10] :
( app(X10,cons(X9,nil)) != X4
| ~ ssList(X10)
| ! [X11] :
( ~ ssList(X11)
| sK2 != app(cons(X9,nil),X11) ) ) ) ) )
=> ( ssList(sK4)
& ? [X5] :
( equalelemsP(sK2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != sK2 ) ) )
& app(app(sK4,sK2),X5) = sK3
& ssList(X5)
& ! [X9] :
( ~ ssItem(X9)
| ! [X10] :
( sK4 != app(X10,cons(X9,nil))
| ~ ssList(X10)
| ! [X11] :
( ~ ssList(X11)
| sK2 != app(cons(X9,nil),X11) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
( ? [X5] :
( equalelemsP(sK2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != sK2 ) ) )
& app(app(sK4,sK2),X5) = sK3
& ssList(X5)
& ! [X9] :
( ~ ssItem(X9)
| ! [X10] :
( sK4 != app(X10,cons(X9,nil))
| ~ ssList(X10)
| ! [X11] :
( ~ ssList(X11)
| sK2 != app(cons(X9,nil),X11) ) ) ) )
=> ( equalelemsP(sK2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| sK5 != app(cons(X6,nil),X7)
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != sK2 ) ) )
& app(app(sK4,sK2),sK5) = sK3
& ssList(sK5)
& ! [X9] :
( ~ ssItem(X9)
| ! [X10] :
( sK4 != app(X10,cons(X9,nil))
| ~ ssList(X10)
| ! [X11] :
( ~ ssList(X11)
| sK2 != app(cons(X9,nil),X11) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
( ? [X12] :
( ssItem(X12)
& ~ memberP(sK1,X12)
& memberP(sK0,X12) )
=> ( ssItem(sK6)
& ~ memberP(sK1,sK6)
& memberP(sK0,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ? [X4] :
( ssList(X4)
& ? [X5] :
( equalelemsP(X2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != X2 ) ) )
& app(app(X4,X2),X5) = X3
& ssList(X5)
& ! [X9] :
( ~ ssItem(X9)
| ! [X10] :
( app(X10,cons(X9,nil)) != X4
| ~ ssList(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X9,nil),X11) != X2 ) ) ) ) )
& ssList(X3)
& ( nil != X2
| nil = X3 )
& X1 = X3
& X0 = X2
& ? [X12] :
( ssItem(X12)
& ~ memberP(X1,X12)
& memberP(X0,X12) ) ) ) ) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( equalelemsP(X2)
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != X6
| ! [X12] :
( ~ ssList(X12)
| app(X12,cons(X10,nil)) != X2 ) ) )
& app(app(X5,X2),X6) = X3
& ssList(X6)
& ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( app(X8,cons(X7,nil)) != X5
| ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| app(cons(X7,nil),X9) != X2 ) ) ) ) )
& ssList(X3)
& ( nil != X2
| nil = X3 )
& X1 = X3
& X0 = X2
& ? [X4] :
( ssItem(X4)
& ~ memberP(X1,X4)
& memberP(X0,X4) ) ) ) ) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ! [X5] :
( ssList(X5)
=> ! [X6] :
( app(app(X5,X2),X6) != X3
| ? [X7] :
( ssItem(X7)
& ? [X8] :
( app(X8,cons(X7,nil)) = X5
& ssList(X8)
& ? [X9] :
( ssList(X9)
& app(cons(X7,nil),X9) = X2 ) ) )
| ~ ssList(X6)
| ~ equalelemsP(X2)
| ? [X10] :
( ssItem(X10)
& ? [X11] :
( ssList(X11)
& app(cons(X10,nil),X11) = X6
& ? [X12] :
( app(X12,cons(X10,nil)) = X2
& ssList(X12) ) ) ) ) )
| ( nil != X3
& nil = X2 )
| X1 != X3
| ~ ssList(X3)
| X0 != X2
| ! [X4] :
( memberP(X1,X4)
| ~ memberP(X0,X4)
| ~ ssItem(X4) ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( X1 != X3
| ( nil != X3
& nil = X2 )
| ! [X12] :
( memberP(X1,X12)
| ~ ssItem(X12)
| ~ memberP(X0,X12) )
| X0 != X2
| ~ ssList(X3)
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ~ ssList(X5)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( app(X7,cons(X6,nil)) = X4
& ssList(X7)
& ? [X8] :
( ssList(X8)
& app(cons(X6,nil),X8) = X2 ) ) )
| ~ equalelemsP(X2)
| app(app(X4,X2),X5) != X3
| ? [X9] :
( ssItem(X9)
& ? [X10] :
( ssList(X10)
& app(cons(X9,nil),X10) = X5
& ? [X11] :
( ssList(X11)
& app(X11,cons(X9,nil)) = X2 ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( X1 != X3
| ( nil != X3
& nil = X2 )
| ! [X12] :
( memberP(X1,X12)
| ~ ssItem(X12)
| ~ memberP(X0,X12) )
| X0 != X2
| ~ ssList(X3)
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ~ ssList(X5)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( app(X7,cons(X6,nil)) = X4
& ssList(X7)
& ? [X8] :
( ssList(X8)
& app(cons(X6,nil),X8) = X2 ) ) )
| ~ equalelemsP(X2)
| app(app(X4,X2),X5) != X3
| ? [X9] :
( ssItem(X9)
& ? [X10] :
( ssList(X10)
& app(cons(X9,nil),X10) = X5
& ? [X11] :
( ssList(X11)
& app(X11,cons(X9,nil)) = X2 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f468,plain,
( memberP(sK1,sK6)
| ~ spl17_7 ),
inference(subsumption_resolution,[],[f455,f165]) ).
fof(f165,plain,
ssItem(sK6),
inference(cnf_transformation,[],[f135]) ).
fof(f455,plain,
( ~ ssItem(sK6)
| memberP(sK1,sK6)
| ~ spl17_7 ),
inference(resolution,[],[f449,f221]) ).
fof(f221,plain,
memberP(sK2,sK6),
inference(definition_unfolding,[],[f163,f166]) ).
fof(f166,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f135]) ).
fof(f163,plain,
memberP(sK0,sK6),
inference(cnf_transformation,[],[f135]) ).
fof(f449,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| ~ ssItem(X0)
| memberP(sK1,X0) )
| ~ spl17_7 ),
inference(subsumption_resolution,[],[f448,f175]) ).
fof(f175,plain,
ssList(sK4),
inference(cnf_transformation,[],[f135]) ).
fof(f448,plain,
( ! [X0] :
( ~ ssList(sK4)
| memberP(sK1,X0)
| ~ ssItem(X0)
| ~ memberP(sK2,X0) )
| ~ spl17_7 ),
inference(subsumption_resolution,[],[f433,f176]) ).
fof(f176,plain,
ssList(sK2),
inference(cnf_transformation,[],[f135]) ).
fof(f433,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ ssList(sK2)
| ~ ssList(sK4)
| ~ memberP(sK2,X0)
| memberP(sK1,X0) )
| ~ spl17_7 ),
inference(duplicate_literal_removal,[],[f429]) ).
fof(f429,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ ssList(sK2)
| memberP(sK1,X0)
| ~ ssList(sK4)
| ~ ssItem(X0)
| ~ memberP(sK2,X0) )
| ~ spl17_7 ),
inference(resolution,[],[f325,f204]) ).
fof(f204,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ ssItem(X0)
| ~ memberP(X2,X0)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) ) ) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) ) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) )
| ~ ssList(X2) ) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
fof(f325,plain,
( ! [X5] :
( ~ memberP(app(sK4,sK2),X5)
| memberP(sK1,X5)
| ~ ssItem(X5) )
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f324,plain,
( spl17_7
<=> ! [X5] :
( memberP(sK1,X5)
| ~ memberP(app(sK4,sK2),X5)
| ~ ssItem(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f424,plain,
( spl17_7
| ~ spl17_5 ),
inference(avatar_split_clause,[],[f423,f272,f324]) ).
fof(f272,plain,
( spl17_5
<=> ssList(app(sK4,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f423,plain,
( ! [X1] :
( ~ memberP(app(sK4,sK2),X1)
| memberP(sK1,X1)
| ~ ssItem(X1) )
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f422,f273]) ).
fof(f273,plain,
( ssList(app(sK4,sK2))
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f422,plain,
! [X1] :
( memberP(sK1,X1)
| ~ ssList(app(sK4,sK2))
| ~ memberP(app(sK4,sK2),X1)
| ~ ssItem(X1) ),
inference(subsumption_resolution,[],[f418,f171]) ).
fof(f171,plain,
ssList(sK5),
inference(cnf_transformation,[],[f135]) ).
fof(f418,plain,
! [X1] :
( ~ ssItem(X1)
| ~ memberP(app(sK4,sK2),X1)
| ~ ssList(sK5)
| ~ ssList(app(sK4,sK2))
| memberP(sK1,X1) ),
inference(superposition,[],[f203,f218]) ).
fof(f218,plain,
app(app(sK4,sK2),sK5) = sK1,
inference(definition_unfolding,[],[f172,f167]) ).
fof(f167,plain,
sK3 = sK1,
inference(cnf_transformation,[],[f135]) ).
fof(f172,plain,
app(app(sK4,sK2),sK5) = sK3,
inference(cnf_transformation,[],[f135]) ).
fof(f203,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ ssItem(X0)
| ~ ssList(X2)
| ~ memberP(X1,X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f344,plain,
spl17_5,
inference(avatar_contradiction_clause,[],[f343]) ).
fof(f343,plain,
( $false
| spl17_5 ),
inference(subsumption_resolution,[],[f342,f175]) ).
fof(f342,plain,
( ~ ssList(sK4)
| spl17_5 ),
inference(subsumption_resolution,[],[f341,f176]) ).
fof(f341,plain,
( ~ ssList(sK2)
| ~ ssList(sK4)
| spl17_5 ),
inference(resolution,[],[f274,f197]) ).
fof(f197,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ssList(app(X0,X1)) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f274,plain,
( ~ ssList(app(sK4,sK2))
| spl17_5 ),
inference(avatar_component_clause,[],[f272]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC399+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 19:02:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (9573)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)
% 0.19/0.49 % (9557)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)
% 0.19/0.50 % (9565)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)
% 0.19/0.50 % (9551)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)
% 0.19/0.51 % (9562)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)
% 0.19/0.51 % (9560)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)
% 0.19/0.51 % (9565)Instruction limit reached!
% 0.19/0.51 % (9565)------------------------------
% 0.19/0.51 % (9565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (9570)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)
% 0.19/0.52 % (9554)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)
% 0.19/0.52 % (9576)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)
% 0.19/0.52 % (9565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9565)Termination reason: Unknown
% 0.19/0.52 % (9565)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (9565)Memory used [KB]: 1791
% 0.19/0.52 % (9565)Time elapsed: 0.006 s
% 0.19/0.52 % (9565)Instructions burned: 7 (million)
% 0.19/0.52 % (9565)------------------------------
% 0.19/0.52 % (9565)------------------------------
% 0.19/0.52 % (9559)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)
% 0.19/0.52 % (9556)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)
% 0.19/0.52 % (9562)Instruction limit reached!
% 0.19/0.52 % (9562)------------------------------
% 0.19/0.52 % (9562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (9562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9562)Termination reason: Unknown
% 0.19/0.52 % (9562)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (9562)Memory used [KB]: 2046
% 0.19/0.52 % (9562)Time elapsed: 0.124 s
% 0.19/0.52 % (9562)Instructions burned: 16 (million)
% 0.19/0.52 % (9562)------------------------------
% 0.19/0.52 % (9562)------------------------------
% 0.19/0.52 % (9568)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)
% 0.19/0.52 % (9568)Instruction limit reached!
% 0.19/0.52 % (9568)------------------------------
% 0.19/0.52 % (9568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (9568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9568)Termination reason: Unknown
% 0.19/0.52 % (9568)Termination phase: Preprocessing 3
% 0.19/0.52
% 0.19/0.52 % (9568)Memory used [KB]: 1535
% 0.19/0.52 % (9568)Time elapsed: 0.003 s
% 0.19/0.52 % (9568)Instructions burned: 3 (million)
% 0.19/0.52 % (9568)------------------------------
% 0.19/0.52 % (9568)------------------------------
% 0.19/0.52 % (9552)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)
% 0.19/0.52 % (9552)Instruction limit reached!
% 0.19/0.52 % (9552)------------------------------
% 0.19/0.52 % (9552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (9552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9552)Termination reason: Unknown
% 0.19/0.52 % (9552)Termination phase: Preprocessing 2
% 0.19/0.52
% 0.19/0.52 % (9552)Memory used [KB]: 1535
% 0.19/0.52 % (9552)Time elapsed: 0.002 s
% 0.19/0.52 % (9552)Instructions burned: 3 (million)
% 0.19/0.52 % (9552)------------------------------
% 0.19/0.52 % (9552)------------------------------
% 0.19/0.52 % (9572)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)
% 0.19/0.53 % (9555)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)
% 0.19/0.53 % (9553)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)
% 0.19/0.53 % (9560)Refutation not found, incomplete strategy% (9560)------------------------------
% 0.19/0.53 % (9560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (9560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (9560)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (9560)Memory used [KB]: 6268
% 0.19/0.53 % (9560)Time elapsed: 0.128 s
% 0.19/0.53 % (9560)Instructions burned: 7 (million)
% 0.19/0.53 % (9560)------------------------------
% 0.19/0.53 % (9560)------------------------------
% 0.19/0.53 % (9575)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)
% 0.19/0.53 % (9563)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)
% 0.19/0.53 % (9554)Instruction limit reached!
% 0.19/0.53 % (9554)------------------------------
% 0.19/0.53 % (9554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (9554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (9554)Termination reason: Unknown
% 0.19/0.53 % (9554)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (9554)Memory used [KB]: 6268
% 0.19/0.53 % (9554)Time elapsed: 0.128 s
% 0.19/0.53 % (9554)Instructions burned: 13 (million)
% 0.19/0.53 % (9554)------------------------------
% 0.19/0.53 % (9554)------------------------------
% 0.19/0.53 % (9561)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)
% 0.19/0.53 % (9551)Instruction limit reached!
% 0.19/0.53 % (9551)------------------------------
% 0.19/0.53 % (9551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (9551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (9551)Termination reason: Unknown
% 0.19/0.53 % (9551)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (9551)Memory used [KB]: 6396
% 0.19/0.53 % (9551)Time elapsed: 0.130 s
% 0.19/0.53 % (9551)Instructions burned: 13 (million)
% 0.19/0.53 % (9551)------------------------------
% 0.19/0.53 % (9551)------------------------------
% 0.19/0.53 % (9567)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (9564)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)
% 0.19/0.53 % (9561)Instruction limit reached!
% 0.19/0.53 % (9561)------------------------------
% 0.19/0.53 % (9561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (9561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (9561)Termination reason: Unknown
% 0.19/0.53 % (9561)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (9561)Memory used [KB]: 6140
% 0.19/0.53 % (9561)Time elapsed: 0.131 s
% 0.19/0.53 % (9561)Instructions burned: 7 (million)
% 0.19/0.53 % (9561)------------------------------
% 0.19/0.53 % (9561)------------------------------
% 0.19/0.53 % (9577)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)
% 0.19/0.53 % (9567)Instruction limit reached!
% 0.19/0.53 % (9567)------------------------------
% 0.19/0.53 % (9567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (9567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (9567)Termination reason: Unknown
% 0.19/0.53 % (9567)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (9567)Memory used [KB]: 1663
% 0.19/0.53 % (9567)Time elapsed: 0.003 s
% 0.19/0.53 % (9567)Instructions burned: 4 (million)
% 0.19/0.53 % (9567)------------------------------
% 0.19/0.53 % (9567)------------------------------
% 0.19/0.53 % (9564)Instruction limit reached!
% 0.19/0.53 % (9564)------------------------------
% 0.19/0.53 % (9564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (9564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (9564)Termination reason: Unknown
% 0.19/0.53 % (9564)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (9564)Memory used [KB]: 1663
% 0.19/0.53 % (9564)Time elapsed: 0.004 s
% 0.19/0.53 % (9564)Instructions burned: 5 (million)
% 0.19/0.53 % (9564)------------------------------
% 0.19/0.53 % (9564)------------------------------
% 0.19/0.53 % (9578)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)
% 0.19/0.53 % (9550)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.54 % (9574)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)
% 0.19/0.54 % (9578)Instruction limit reached!
% 0.19/0.54 % (9578)------------------------------
% 0.19/0.54 % (9578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (9578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (9578)Termination reason: Unknown
% 0.19/0.54 % (9578)Termination phase: Equality proxy
% 0.19/0.54
% 0.19/0.54 % (9578)Memory used [KB]: 1791
% 0.19/0.54 % (9578)Time elapsed: 0.005 s
% 0.19/0.54 % (9578)Instructions burned: 10 (million)
% 0.19/0.54 % (9578)------------------------------
% 0.19/0.54 % (9578)------------------------------
% 0.19/0.54 % (9579)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)
% 0.19/0.54 % (9569)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)
% 0.19/0.54 % (9571)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)
% 0.19/0.55 % (9557)Refutation not found, non-redundant clauses discarded% (9557)------------------------------
% 0.19/0.55 % (9557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (9557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (9557)Termination reason: Refutation not found, non-redundant clauses discarded
% 0.19/0.55
% 0.19/0.55 % (9557)Memory used [KB]: 6652
% 0.19/0.55 % (9557)Time elapsed: 0.129 s
% 0.19/0.55 % (9557)Instructions burned: 38 (million)
% 0.19/0.55 % (9557)------------------------------
% 0.19/0.55 % (9557)------------------------------
% 0.19/0.55 % (9556)First to succeed.
% 1.63/0.55 % (9556)Refutation found. Thanks to Tanya!
% 1.63/0.55 % SZS status Theorem for theBenchmark
% 1.63/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.63/0.55 % (9556)------------------------------
% 1.63/0.55 % (9556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.55 % (9556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.55 % (9556)Termination reason: Refutation
% 1.63/0.55
% 1.63/0.55 % (9556)Memory used [KB]: 6268
% 1.63/0.55 % (9556)Time elapsed: 0.124 s
% 1.63/0.55 % (9556)Instructions burned: 13 (million)
% 1.63/0.55 % (9556)------------------------------
% 1.63/0.55 % (9556)------------------------------
% 1.63/0.55 % (9549)Success in time 0.202 s
%------------------------------------------------------------------------------