TSTP Solution File: SWC284+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC284+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_sat --cores 0 -t %d %s
% Computer : n022.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 18:42:53 EDT 2022
% Result : Theorem 6.99s 1.28s
% Output : Refutation 6.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 38
% Syntax : Number of formulae : 212 ( 19 unt; 0 def)
% Number of atoms : 992 ( 200 equ)
% Maximal formula atoms : 42 ( 4 avg)
% Number of connectives : 1263 ( 483 ~; 468 |; 245 &)
% ( 21 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 14 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 225 ( 134 !; 91 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8365,plain,
$false,
inference(avatar_sat_refutation,[],[f643,f663,f668,f677,f682,f688,f695,f1530,f1665,f1715,f1998,f2029,f7496,f7709,f8338,f8364]) ).
fof(f8364,plain,
( ~ spl66_14
| spl66_16
| ~ spl66_327 ),
inference(avatar_contradiction_clause,[],[f8363]) ).
fof(f8363,plain,
( $false
| ~ spl66_14
| spl66_16
| ~ spl66_327 ),
inference(subsumption_resolution,[],[f8362,f8342]) ).
fof(f8342,plain,
( ~ leq(sK20,sK20)
| spl66_16
| ~ spl66_327 ),
inference(backward_demodulation,[],[f693,f6187]) ).
fof(f6187,plain,
( sK20 = sK23
| ~ spl66_327 ),
inference(avatar_component_clause,[],[f6185]) ).
fof(f6185,plain,
( spl66_327
<=> sK20 = sK23 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_327])]) ).
fof(f693,plain,
( ~ leq(sK23,sK20)
| spl66_16 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f691,plain,
( spl66_16
<=> leq(sK23,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_16])]) ).
fof(f8362,plain,
( leq(sK20,sK20)
| ~ spl66_14
| ~ spl66_327 ),
inference(forward_demodulation,[],[f680,f6187]) ).
fof(f680,plain,
( leq(sK20,sK23)
| ~ spl66_14 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f679,plain,
( spl66_14
<=> leq(sK20,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_14])]) ).
fof(f8338,plain,
( ~ spl66_4
| ~ spl66_6
| ~ spl66_10
| ~ spl66_11
| spl66_327 ),
inference(avatar_contradiction_clause,[],[f8337]) ).
fof(f8337,plain,
( $false
| ~ spl66_4
| ~ spl66_6
| ~ spl66_10
| ~ spl66_11
| spl66_327 ),
inference(subsumption_resolution,[],[f8336,f6186]) ).
fof(f6186,plain,
( sK20 != sK23
| spl66_327 ),
inference(avatar_component_clause,[],[f6185]) ).
fof(f8336,plain,
( sK20 = sK23
| ~ spl66_4
| ~ spl66_6
| ~ spl66_10
| ~ spl66_11 ),
inference(subsumption_resolution,[],[f8335,f404]) ).
fof(f404,plain,
ssItem(sK23),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
( ssList(sK17)
& sK17 = sK19
& sK16 = app(app(sK21,cons(sK20,nil)),sK22)
& ssItem(sK23)
& ( ( ~ leq(sK20,sK23)
& memberP(sK22,sK23) )
| ( ~ leq(sK23,sK20)
& memberP(sK21,sK23) ) )
& ssList(sK22)
& ssList(sK21)
& ssItem(sK20)
& ( nil != sK19
| nil = sK18 )
& ssList(sK19)
& ( ~ neq(sK19,nil)
| ( ssItem(sK24)
& memberP(sK19,sK24)
& cons(sK24,nil) = sK18 ) )
& sK18 = sK16
& ssList(sK18)
& ssList(sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24])],[f252,f261,f260,f259,f258,f257,f256,f255,f254,f253]) ).
fof(f253,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( X1 = X3
& ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ? [X7] :
( ssItem(X7)
& ( ( ~ leq(X4,X7)
& memberP(X6,X7) )
| ( ~ leq(X7,X4)
& memberP(X5,X7) ) ) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& ( nil != X3
| nil = X2 )
& ssList(X3)
& ( ~ neq(X3,nil)
| ? [X8] :
( ssItem(X8)
& memberP(X3,X8)
& cons(X8,nil) = X2 ) )
& X0 = X2 )
& ssList(X2) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( X1 = X3
& ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = sK16
& ? [X7] :
( ssItem(X7)
& ( ( ~ leq(X4,X7)
& memberP(X6,X7) )
| ( ~ leq(X7,X4)
& memberP(X5,X7) ) ) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& ( nil != X3
| nil = X2 )
& ssList(X3)
& ( ~ neq(X3,nil)
| ? [X8] :
( ssItem(X8)
& memberP(X3,X8)
& cons(X8,nil) = X2 ) )
& sK16 = X2 )
& ssList(X2) ) )
& ssList(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( X1 = X3
& ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = sK16
& ? [X7] :
( ssItem(X7)
& ( ( ~ leq(X4,X7)
& memberP(X6,X7) )
| ( ~ leq(X7,X4)
& memberP(X5,X7) ) ) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& ( nil != X3
| nil = X2 )
& ssList(X3)
& ( ~ neq(X3,nil)
| ? [X8] :
( ssItem(X8)
& memberP(X3,X8)
& cons(X8,nil) = X2 ) )
& sK16 = X2 )
& ssList(X2) ) )
=> ( ssList(sK17)
& ? [X2] :
( ? [X3] :
( sK17 = X3
& ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = sK16
& ? [X7] :
( ssItem(X7)
& ( ( ~ leq(X4,X7)
& memberP(X6,X7) )
| ( ~ leq(X7,X4)
& memberP(X5,X7) ) ) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& ( nil != X3
| nil = X2 )
& ssList(X3)
& ( ~ neq(X3,nil)
| ? [X8] :
( ssItem(X8)
& memberP(X3,X8)
& cons(X8,nil) = X2 ) )
& sK16 = X2 )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f255,plain,
( ? [X2] :
( ? [X3] :
( sK17 = X3
& ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = sK16
& ? [X7] :
( ssItem(X7)
& ( ( ~ leq(X4,X7)
& memberP(X6,X7) )
| ( ~ leq(X7,X4)
& memberP(X5,X7) ) ) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& ( nil != X3
| nil = X2 )
& ssList(X3)
& ( ~ neq(X3,nil)
| ? [X8] :
( ssItem(X8)
& memberP(X3,X8)
& cons(X8,nil) = X2 ) )
& sK16 = X2 )
& ssList(X2) )
=> ( ? [X3] :
( sK17 = X3
& ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = sK16
& ? [X7] :
( ssItem(X7)
& ( ( ~ leq(X4,X7)
& memberP(X6,X7) )
| ( ~ leq(X7,X4)
& memberP(X5,X7) ) ) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& ( nil != X3
| nil = sK18 )
& ssList(X3)
& ( ~ neq(X3,nil)
| ? [X8] :
( ssItem(X8)
& memberP(X3,X8)
& cons(X8,nil) = sK18 ) )
& sK18 = sK16 )
& ssList(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f256,plain,
( ? [X3] :
( sK17 = X3
& ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = sK16
& ? [X7] :
( ssItem(X7)
& ( ( ~ leq(X4,X7)
& memberP(X6,X7) )
| ( ~ leq(X7,X4)
& memberP(X5,X7) ) ) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& ( nil != X3
| nil = sK18 )
& ssList(X3)
& ( ~ neq(X3,nil)
| ? [X8] :
( ssItem(X8)
& memberP(X3,X8)
& cons(X8,nil) = sK18 ) )
& sK18 = sK16 )
=> ( sK17 = sK19
& ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = sK16
& ? [X7] :
( ssItem(X7)
& ( ( ~ leq(X4,X7)
& memberP(X6,X7) )
| ( ~ leq(X7,X4)
& memberP(X5,X7) ) ) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& ( nil != sK19
| nil = sK18 )
& ssList(sK19)
& ( ~ neq(sK19,nil)
| ? [X8] :
( ssItem(X8)
& memberP(sK19,X8)
& cons(X8,nil) = sK18 ) )
& sK18 = sK16 ) ),
introduced(choice_axiom,[]) ).
fof(f257,plain,
( ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = sK16
& ? [X7] :
( ssItem(X7)
& ( ( ~ leq(X4,X7)
& memberP(X6,X7) )
| ( ~ leq(X7,X4)
& memberP(X5,X7) ) ) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
=> ( ? [X5] :
( ? [X6] :
( app(app(X5,cons(sK20,nil)),X6) = sK16
& ? [X7] :
( ssItem(X7)
& ( ( ~ leq(sK20,X7)
& memberP(X6,X7) )
| ( ~ leq(X7,sK20)
& memberP(X5,X7) ) ) )
& ssList(X6) )
& ssList(X5) )
& ssItem(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f258,plain,
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(sK20,nil)),X6) = sK16
& ? [X7] :
( ssItem(X7)
& ( ( ~ leq(sK20,X7)
& memberP(X6,X7) )
| ( ~ leq(X7,sK20)
& memberP(X5,X7) ) ) )
& ssList(X6) )
& ssList(X5) )
=> ( ? [X6] :
( app(app(sK21,cons(sK20,nil)),X6) = sK16
& ? [X7] :
( ssItem(X7)
& ( ( ~ leq(sK20,X7)
& memberP(X6,X7) )
| ( ~ leq(X7,sK20)
& memberP(sK21,X7) ) ) )
& ssList(X6) )
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f259,plain,
( ? [X6] :
( app(app(sK21,cons(sK20,nil)),X6) = sK16
& ? [X7] :
( ssItem(X7)
& ( ( ~ leq(sK20,X7)
& memberP(X6,X7) )
| ( ~ leq(X7,sK20)
& memberP(sK21,X7) ) ) )
& ssList(X6) )
=> ( sK16 = app(app(sK21,cons(sK20,nil)),sK22)
& ? [X7] :
( ssItem(X7)
& ( ( ~ leq(sK20,X7)
& memberP(sK22,X7) )
| ( ~ leq(X7,sK20)
& memberP(sK21,X7) ) ) )
& ssList(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f260,plain,
( ? [X7] :
( ssItem(X7)
& ( ( ~ leq(sK20,X7)
& memberP(sK22,X7) )
| ( ~ leq(X7,sK20)
& memberP(sK21,X7) ) ) )
=> ( ssItem(sK23)
& ( ( ~ leq(sK20,sK23)
& memberP(sK22,sK23) )
| ( ~ leq(sK23,sK20)
& memberP(sK21,sK23) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f261,plain,
( ? [X8] :
( ssItem(X8)
& memberP(sK19,X8)
& cons(X8,nil) = sK18 )
=> ( ssItem(sK24)
& memberP(sK19,sK24)
& cons(sK24,nil) = sK18 ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( X1 = X3
& ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ? [X7] :
( ssItem(X7)
& ( ( ~ leq(X4,X7)
& memberP(X6,X7) )
| ( ~ leq(X7,X4)
& memberP(X5,X7) ) ) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& ( nil != X3
| nil = X2 )
& ssList(X3)
& ( ~ neq(X3,nil)
| ? [X8] :
( ssItem(X8)
& memberP(X3,X8)
& cons(X8,nil) = X2 ) )
& X0 = X2 )
& ssList(X2) ) )
& ssList(X0) ),
inference(rectify,[],[f214]) ).
fof(f214,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( X1 = X3
& ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(X6,cons(X5,nil)),X7) = X0
& ? [X8] :
( ssItem(X8)
& ( ( ~ leq(X5,X8)
& memberP(X7,X8) )
| ( ~ leq(X8,X5)
& memberP(X6,X8) ) ) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ( nil != X3
| nil = X2 )
& ssList(X3)
& ( ~ neq(X3,nil)
| ? [X4] :
( ssItem(X4)
& memberP(X3,X4)
& cons(X4,nil) = X2 ) )
& X0 = X2 )
& ssList(X2) ) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( nil != X2
& nil = X3 )
| X1 != X3
| ~ ssList(X3)
| X0 != X2
| ( neq(X3,nil)
& ! [X4] :
( ~ ssItem(X4)
| cons(X4,nil) != X2
| ~ memberP(X3,X4) ) )
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ssItem(X8)
=> ( ( ~ memberP(X6,X8)
| leq(X8,X5) )
& ( leq(X5,X8)
| ~ memberP(X7,X8) ) ) )
| app(app(X6,cons(X5,nil)),X7) != X0 ) ) ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( X0 != X2
| ( ! [X8] :
( ~ memberP(X3,X8)
| ~ ssItem(X8)
| cons(X8,nil) != X2 )
& neq(X3,nil) )
| X1 != X3
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X6,X7)
| leq(X4,X7) )
& ( ~ memberP(X5,X7)
| leq(X7,X4) ) ) )
| app(app(X5,cons(X4,nil)),X6) != X0 ) ) )
| ~ ssList(X3)
| ( nil != X2
& nil = X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( X0 != X2
| ( ! [X8] :
( ~ memberP(X3,X8)
| ~ ssItem(X8)
| cons(X8,nil) != X2 )
& neq(X3,nil) )
| X1 != X3
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X6,X7)
| leq(X4,X7) )
& ( ~ memberP(X5,X7)
| leq(X7,X4) ) ) )
| app(app(X5,cons(X4,nil)),X6) != X0 ) ) )
| ~ ssList(X3)
| ( nil != X2
& nil = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f8335,plain,
( ~ ssItem(sK23)
| sK20 = sK23
| ~ spl66_4
| ~ spl66_6
| ~ spl66_10
| ~ spl66_11 ),
inference(resolution,[],[f8114,f8000]) ).
fof(f8000,plain,
( memberP(sK16,sK23)
| ~ spl66_4
| ~ spl66_10 ),
inference(subsumption_resolution,[],[f7998,f404]) ).
fof(f7998,plain,
( ~ ssItem(sK23)
| memberP(sK16,sK23)
| ~ spl66_4
| ~ spl66_10 ),
inference(resolution,[],[f7735,f2232]) ).
fof(f2232,plain,
( ! [X1] :
( ~ memberP(sF63,X1)
| ~ ssItem(X1)
| memberP(sK16,X1) )
| ~ spl66_4 ),
inference(subsumption_resolution,[],[f2231,f399]) ).
fof(f399,plain,
ssList(sK22),
inference(cnf_transformation,[],[f262]) ).
fof(f2231,plain,
( ! [X1] :
( ~ memberP(sF63,X1)
| memberP(sK16,X1)
| ~ ssList(sK22)
| ~ ssItem(X1) )
| ~ spl66_4 ),
inference(subsumption_resolution,[],[f2228,f1074]) ).
fof(f1074,plain,
( ssList(sF63)
| ~ spl66_4 ),
inference(subsumption_resolution,[],[f1073,f398]) ).
fof(f398,plain,
ssList(sK21),
inference(cnf_transformation,[],[f262]) ).
fof(f1073,plain,
( ~ ssList(sK21)
| ssList(sF63)
| ~ spl66_4 ),
inference(subsumption_resolution,[],[f1070,f1025]) ).
fof(f1025,plain,
( ssList(sF62)
| ~ spl66_4 ),
inference(subsumption_resolution,[],[f1024,f631]) ).
fof(f631,plain,
( ssList(nil)
| ~ spl66_4 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f630,plain,
( spl66_4
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_4])]) ).
fof(f1024,plain,
( ssList(sF62)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1022,f397]) ).
fof(f397,plain,
ssItem(sK20),
inference(cnf_transformation,[],[f262]) ).
fof(f1022,plain,
( ssList(sF62)
| ~ ssItem(sK20)
| ~ ssList(nil) ),
inference(superposition,[],[f365,f603]) ).
fof(f603,plain,
sF62 = cons(sK20,nil),
introduced(function_definition,[]) ).
fof(f365,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| ssList(cons(X1,X0)) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f1070,plain,
( ~ ssList(sF62)
| ssList(sF63)
| ~ ssList(sK21) ),
inference(superposition,[],[f525,f604]) ).
fof(f604,plain,
sF63 = app(sK21,sF62),
introduced(function_definition,[]) ).
fof(f525,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f2228,plain,
! [X1] :
( ~ memberP(sF63,X1)
| ~ ssList(sF63)
| memberP(sK16,X1)
| ~ ssList(sK22)
| ~ ssItem(X1) ),
inference(superposition,[],[f421,f689]) ).
fof(f689,plain,
app(sF63,sK22) = sK16,
inference(backward_demodulation,[],[f605,f606]) ).
fof(f606,plain,
sF64 = sK16,
inference(definition_folding,[],[f405,f605,f604,f603]) ).
fof(f405,plain,
sK16 = app(app(sK21,cons(sK20,nil)),sK22),
inference(cnf_transformation,[],[f262]) ).
fof(f605,plain,
sF64 = app(sF63,sK22),
introduced(function_definition,[]) ).
fof(f421,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ ssList(X2)
| ~ memberP(X1,X0)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ! [X2] :
( ( ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) )
& ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) ) )
| ~ ssList(X2) )
| ~ ssList(X1) ) ),
inference(flattening,[],[f271]) ).
fof(f271,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ! [X2] :
( ( ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) )
& ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) ) )
| ~ ssList(X2) )
| ~ ssList(X1) ) ),
inference(nnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ! [X2] :
( ( ( memberP(X2,X0)
| memberP(X1,X0) )
<=> memberP(app(X1,X2),X0) )
| ~ ssList(X2) )
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( memberP(X2,X0)
| memberP(X1,X0) )
<=> memberP(app(X1,X2),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f7735,plain,
( memberP(sF63,sK23)
| ~ spl66_4
| ~ spl66_10 ),
inference(subsumption_resolution,[],[f7733,f404]) ).
fof(f7733,plain,
( memberP(sF63,sK23)
| ~ ssItem(sK23)
| ~ spl66_4
| ~ spl66_10 ),
inference(resolution,[],[f662,f2234]) ).
fof(f2234,plain,
( ! [X2] :
( ~ memberP(sK21,X2)
| ~ ssItem(X2)
| memberP(sF63,X2) )
| ~ spl66_4 ),
inference(subsumption_resolution,[],[f2233,f1025]) ).
fof(f2233,plain,
! [X2] :
( ~ memberP(sK21,X2)
| ~ ssItem(X2)
| ~ ssList(sF62)
| memberP(sF63,X2) ),
inference(subsumption_resolution,[],[f2229,f398]) ).
fof(f2229,plain,
! [X2] :
( ~ ssList(sK21)
| ~ ssList(sF62)
| memberP(sF63,X2)
| ~ memberP(sK21,X2)
| ~ ssItem(X2) ),
inference(superposition,[],[f421,f604]) ).
fof(f662,plain,
( memberP(sK21,sK23)
| ~ spl66_10 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f660,plain,
( spl66_10
<=> memberP(sK21,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_10])]) ).
fof(f8114,plain,
( ! [X0] :
( ~ memberP(sK16,X0)
| sK20 = X0
| ~ ssItem(X0) )
| ~ spl66_4
| ~ spl66_6
| ~ spl66_11 ),
inference(backward_demodulation,[],[f2611,f8078]) ).
fof(f8078,plain,
( sF62 = sK16
| ~ spl66_4
| ~ spl66_6
| ~ spl66_11 ),
inference(backward_demodulation,[],[f603,f8016]) ).
fof(f8016,plain,
( sK16 = cons(sK20,nil)
| ~ spl66_4
| ~ spl66_6
| ~ spl66_11 ),
inference(backward_demodulation,[],[f2035,f8013]) ).
fof(f8013,plain,
( sK24 = sK20
| ~ spl66_4
| ~ spl66_6
| ~ spl66_11 ),
inference(subsumption_resolution,[],[f8011,f397]) ).
fof(f8011,plain,
( ~ ssItem(sK20)
| sK24 = sK20
| ~ spl66_4
| ~ spl66_6
| ~ spl66_11 ),
inference(resolution,[],[f2614,f7267]) ).
fof(f7267,plain,
( memberP(sK16,sK20)
| ~ spl66_4 ),
inference(subsumption_resolution,[],[f7265,f397]) ).
fof(f7265,plain,
( memberP(sK16,sK20)
| ~ ssItem(sK20)
| ~ spl66_4 ),
inference(resolution,[],[f7217,f2232]) ).
fof(f7217,plain,
( memberP(sF63,sK20)
| ~ spl66_4 ),
inference(subsumption_resolution,[],[f7216,f397]) ).
fof(f7216,plain,
( ~ ssItem(sK20)
| memberP(sF63,sK20)
| ~ spl66_4 ),
inference(resolution,[],[f2242,f1207]) ).
fof(f1207,plain,
( memberP(sF62,sK20)
| ~ spl66_4 ),
inference(subsumption_resolution,[],[f1206,f397]) ).
fof(f1206,plain,
( memberP(sF62,sK20)
| ~ ssItem(sK20)
| ~ spl66_4 ),
inference(subsumption_resolution,[],[f1204,f631]) ).
fof(f1204,plain,
( ~ ssList(nil)
| memberP(sF62,sK20)
| ~ ssItem(sK20) ),
inference(superposition,[],[f612,f603]) ).
fof(f612,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f591]) ).
fof(f591,plain,
! [X2,X1] :
( ~ ssItem(X1)
| memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f494]) ).
fof(f494,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f317]) ).
fof(f317,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) )
& ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) ) ),
inference(flattening,[],[f316]) ).
fof(f316,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) )
& ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) ) ),
inference(nnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f2242,plain,
( ! [X2] :
( ~ memberP(sF62,X2)
| memberP(sF63,X2)
| ~ ssItem(X2) )
| ~ spl66_4 ),
inference(subsumption_resolution,[],[f2241,f398]) ).
fof(f2241,plain,
( ! [X2] :
( ~ ssItem(X2)
| memberP(sF63,X2)
| ~ ssList(sK21)
| ~ memberP(sF62,X2) )
| ~ spl66_4 ),
inference(subsumption_resolution,[],[f2237,f1025]) ).
fof(f2237,plain,
! [X2] :
( ~ ssItem(X2)
| ~ memberP(sF62,X2)
| ~ ssList(sF62)
| ~ ssList(sK21)
| memberP(sF63,X2) ),
inference(superposition,[],[f422,f604]) ).
fof(f422,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ ssItem(X0)
| ~ memberP(X2,X0)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(cnf_transformation,[],[f272]) ).
fof(f2614,plain,
( ! [X1] :
( ~ memberP(sK16,X1)
| sK24 = X1
| ~ ssItem(X1) )
| ~ spl66_4
| ~ spl66_6
| ~ spl66_11 ),
inference(subsumption_resolution,[],[f2613,f547]) ).
fof(f547,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f2613,plain,
( ! [X1] :
( memberP(nil,X1)
| ~ ssItem(X1)
| sK24 = X1
| ~ memberP(sK16,X1) )
| ~ spl66_4
| ~ spl66_6
| ~ spl66_11 ),
inference(subsumption_resolution,[],[f2612,f667]) ).
fof(f667,plain,
( ssItem(sK24)
| ~ spl66_11 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f665,plain,
( spl66_11
<=> ssItem(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_11])]) ).
fof(f2612,plain,
( ! [X1] :
( sK24 = X1
| memberP(nil,X1)
| ~ memberP(sK16,X1)
| ~ ssItem(X1)
| ~ ssItem(sK24) )
| ~ spl66_4
| ~ spl66_6 ),
inference(subsumption_resolution,[],[f2606,f631]) ).
fof(f2606,plain,
( ! [X1] :
( ~ ssItem(X1)
| ~ ssList(nil)
| ~ ssItem(sK24)
| ~ memberP(sK16,X1)
| sK24 = X1
| memberP(nil,X1) )
| ~ spl66_6 ),
inference(superposition,[],[f492,f2035]) ).
fof(f492,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 = X1
| memberP(X2,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f317]) ).
fof(f2035,plain,
( cons(sK24,nil) = sK16
| ~ spl66_6 ),
inference(backward_demodulation,[],[f607,f642]) ).
fof(f642,plain,
( sF65 = sK16
| ~ spl66_6 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f640,plain,
( spl66_6
<=> sF65 = sK16 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_6])]) ).
fof(f607,plain,
sF65 = cons(sK24,nil),
introduced(function_definition,[]) ).
fof(f2611,plain,
( ! [X0] :
( ~ memberP(sF62,X0)
| sK20 = X0
| ~ ssItem(X0) )
| ~ spl66_4 ),
inference(subsumption_resolution,[],[f2610,f547]) ).
fof(f2610,plain,
( ! [X0] :
( sK20 = X0
| memberP(nil,X0)
| ~ ssItem(X0)
| ~ memberP(sF62,X0) )
| ~ spl66_4 ),
inference(subsumption_resolution,[],[f2609,f631]) ).
fof(f2609,plain,
! [X0] :
( sK20 = X0
| memberP(nil,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(sF62,X0) ),
inference(subsumption_resolution,[],[f2605,f397]) ).
fof(f2605,plain,
! [X0] :
( ~ memberP(sF62,X0)
| ~ ssItem(sK20)
| ~ ssList(nil)
| memberP(nil,X0)
| sK20 = X0
| ~ ssItem(X0) ),
inference(superposition,[],[f492,f603]) ).
fof(f7709,plain,
( spl66_14
| ~ spl66_327 ),
inference(avatar_contradiction_clause,[],[f7708]) ).
fof(f7708,plain,
( $false
| spl66_14
| ~ spl66_327 ),
inference(subsumption_resolution,[],[f7707,f397]) ).
fof(f7707,plain,
( ~ ssItem(sK20)
| spl66_14
| ~ spl66_327 ),
inference(resolution,[],[f7502,f571]) ).
fof(f571,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ssItem(X0)
=> leq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
fof(f7502,plain,
( ~ leq(sK20,sK20)
| spl66_14
| ~ spl66_327 ),
inference(backward_demodulation,[],[f681,f6187]) ).
fof(f681,plain,
( ~ leq(sK20,sK23)
| spl66_14 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f7496,plain,
( spl66_327
| ~ spl66_4
| ~ spl66_6
| ~ spl66_9
| ~ spl66_11 ),
inference(avatar_split_clause,[],[f7495,f665,f656,f640,f630,f6185]) ).
fof(f656,plain,
( spl66_9
<=> memberP(sK22,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_9])]) ).
fof(f7495,plain,
( sK20 = sK23
| ~ spl66_4
| ~ spl66_6
| ~ spl66_9
| ~ spl66_11 ),
inference(subsumption_resolution,[],[f7493,f397]) ).
fof(f7493,plain,
( ~ ssItem(sK20)
| sK20 = sK23
| ~ spl66_4
| ~ spl66_6
| ~ spl66_9
| ~ spl66_11 ),
inference(resolution,[],[f7267,f5605]) ).
fof(f5605,plain,
( ! [X1] :
( ~ memberP(sK16,X1)
| ~ ssItem(X1)
| sK23 = X1 )
| ~ spl66_4
| ~ spl66_6
| ~ spl66_9
| ~ spl66_11 ),
inference(backward_demodulation,[],[f2614,f5598]) ).
fof(f5598,plain,
( sK24 = sK23
| ~ spl66_4
| ~ spl66_6
| ~ spl66_9
| ~ spl66_11 ),
inference(subsumption_resolution,[],[f5556,f404]) ).
fof(f5556,plain,
( sK24 = sK23
| ~ ssItem(sK23)
| ~ spl66_4
| ~ spl66_6
| ~ spl66_9
| ~ spl66_11 ),
inference(resolution,[],[f2614,f5537]) ).
fof(f5537,plain,
( memberP(sK16,sK23)
| ~ spl66_4
| ~ spl66_9 ),
inference(subsumption_resolution,[],[f5534,f404]) ).
fof(f5534,plain,
( ~ ssItem(sK23)
| memberP(sK16,sK23)
| ~ spl66_4
| ~ spl66_9 ),
inference(resolution,[],[f2240,f658]) ).
fof(f658,plain,
( memberP(sK22,sK23)
| ~ spl66_9 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f2240,plain,
( ! [X1] :
( ~ memberP(sK22,X1)
| memberP(sK16,X1)
| ~ ssItem(X1) )
| ~ spl66_4 ),
inference(subsumption_resolution,[],[f2239,f1074]) ).
fof(f2239,plain,
! [X1] :
( ~ memberP(sK22,X1)
| ~ ssItem(X1)
| ~ ssList(sF63)
| memberP(sK16,X1) ),
inference(subsumption_resolution,[],[f2236,f399]) ).
fof(f2236,plain,
! [X1] :
( ~ ssList(sK22)
| memberP(sK16,X1)
| ~ ssList(sF63)
| ~ ssItem(X1)
| ~ memberP(sK22,X1) ),
inference(superposition,[],[f422,f689]) ).
fof(f2029,plain,
( ~ spl66_4
| ~ spl66_13
| spl66_65 ),
inference(avatar_contradiction_clause,[],[f2028]) ).
fof(f2028,plain,
( $false
| ~ spl66_4
| ~ spl66_13
| spl66_65 ),
inference(subsumption_resolution,[],[f2027,f399]) ).
fof(f2027,plain,
( ~ ssList(sK22)
| ~ spl66_4
| ~ spl66_13
| spl66_65 ),
inference(subsumption_resolution,[],[f2026,f1074]) ).
fof(f2026,plain,
( ~ ssList(sF63)
| ~ ssList(sK22)
| ~ spl66_13
| spl66_65 ),
inference(subsumption_resolution,[],[f2025,f1297]) ).
fof(f1297,plain,
( nil != sK22
| spl66_65 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f1296,plain,
( spl66_65
<=> nil = sK22 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_65])]) ).
fof(f2025,plain,
( nil = sK22
| ~ ssList(sK22)
| ~ ssList(sF63)
| ~ spl66_13 ),
inference(trivial_inequality_removal,[],[f2021]) ).
fof(f2021,plain,
( ~ ssList(sF63)
| nil = sK22
| nil != nil
| ~ ssList(sK22)
| ~ spl66_13 ),
inference(superposition,[],[f551,f1390]) ).
fof(f1390,plain,
( nil = app(sF63,sK22)
| ~ spl66_13 ),
inference(forward_demodulation,[],[f689,f676]) ).
fof(f676,plain,
( nil = sK16
| ~ spl66_13 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f674,plain,
( spl66_13
<=> nil = sK16 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_13])]) ).
fof(f551,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f349]) ).
fof(f349,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) ) ) ),
inference(flattening,[],[f348]) ).
fof(f348,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f1998,plain,
( ~ spl66_4
| ~ spl66_60 ),
inference(avatar_contradiction_clause,[],[f1997]) ).
fof(f1997,plain,
( $false
| ~ spl66_4
| ~ spl66_60 ),
inference(subsumption_resolution,[],[f1996,f1025]) ).
fof(f1996,plain,
( ~ ssList(sF62)
| ~ spl66_4
| ~ spl66_60 ),
inference(subsumption_resolution,[],[f1995,f1201]) ).
fof(f1201,plain,
( nil != sF62
| ~ spl66_4 ),
inference(subsumption_resolution,[],[f1200,f397]) ).
fof(f1200,plain,
( ~ ssItem(sK20)
| nil != sF62
| ~ spl66_4 ),
inference(subsumption_resolution,[],[f1198,f631]) ).
fof(f1198,plain,
( ~ ssList(nil)
| nil != sF62
| ~ ssItem(sK20) ),
inference(superposition,[],[f424,f603]) ).
fof(f424,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f1995,plain,
( nil = sF62
| ~ ssList(sF62)
| ~ spl66_60 ),
inference(subsumption_resolution,[],[f1994,f398]) ).
fof(f1994,plain,
( ~ ssList(sK21)
| nil = sF62
| ~ ssList(sF62)
| ~ spl66_60 ),
inference(trivial_inequality_removal,[],[f1993]) ).
fof(f1993,plain,
( ~ ssList(sF62)
| nil != nil
| nil = sF62
| ~ ssList(sK21)
| ~ spl66_60 ),
inference(superposition,[],[f551,f1611]) ).
fof(f1611,plain,
( nil = app(sK21,sF62)
| ~ spl66_60 ),
inference(backward_demodulation,[],[f604,f1274]) ).
fof(f1274,plain,
( nil = sF63
| ~ spl66_60 ),
inference(avatar_component_clause,[],[f1272]) ).
fof(f1272,plain,
( spl66_60
<=> nil = sF63 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_60])]) ).
fof(f1715,plain,
( spl66_12
| spl66_1
| ~ spl66_4 ),
inference(avatar_split_clause,[],[f1714,f630,f617,f670]) ).
fof(f670,plain,
( spl66_12
<=> nil = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_12])]) ).
fof(f617,plain,
( spl66_1
<=> neq(sK19,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_1])]) ).
fof(f1714,plain,
( nil = sK19
| spl66_1
| ~ spl66_4 ),
inference(subsumption_resolution,[],[f1710,f631]) ).
fof(f1710,plain,
( nil = sK19
| ~ ssList(nil)
| spl66_1 ),
inference(subsumption_resolution,[],[f1705,f572]) ).
fof(f572,plain,
ssList(sK19),
inference(definition_unfolding,[],[f407,f406]) ).
fof(f406,plain,
sK17 = sK19,
inference(cnf_transformation,[],[f262]) ).
fof(f407,plain,
ssList(sK17),
inference(cnf_transformation,[],[f262]) ).
fof(f1705,plain,
( ~ ssList(sK19)
| nil = sK19
| ~ ssList(nil)
| spl66_1 ),
inference(resolution,[],[f564,f619]) ).
fof(f619,plain,
( ~ neq(sK19,nil)
| spl66_1 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f564,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f351]) ).
fof(f351,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ( X0 != X1
| ~ neq(X0,X1) )
& ( neq(X0,X1)
| X0 = X1 ) )
| ~ ssList(X1) ) ),
inference(nnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( X0 != X1
<=> neq(X0,X1) )
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( X0 != X1
<=> neq(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f1665,plain,
( ~ spl66_9
| ~ spl66_65 ),
inference(avatar_contradiction_clause,[],[f1664]) ).
fof(f1664,plain,
( $false
| ~ spl66_9
| ~ spl66_65 ),
inference(subsumption_resolution,[],[f1663,f404]) ).
fof(f1663,plain,
( ~ ssItem(sK23)
| ~ spl66_9
| ~ spl66_65 ),
inference(resolution,[],[f1509,f547]) ).
fof(f1509,plain,
( memberP(nil,sK23)
| ~ spl66_9
| ~ spl66_65 ),
inference(backward_demodulation,[],[f658,f1298]) ).
fof(f1298,plain,
( nil = sK22
| ~ spl66_65 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f1530,plain,
( ~ spl66_4
| ~ spl66_13
| spl66_60
| ~ spl66_65 ),
inference(avatar_contradiction_clause,[],[f1529]) ).
fof(f1529,plain,
( $false
| ~ spl66_4
| ~ spl66_13
| spl66_60
| ~ spl66_65 ),
inference(subsumption_resolution,[],[f1528,f1273]) ).
fof(f1273,plain,
( nil != sF63
| spl66_60 ),
inference(avatar_component_clause,[],[f1272]) ).
fof(f1528,plain,
( nil = sF63
| ~ spl66_4
| ~ spl66_13
| ~ spl66_65 ),
inference(backward_demodulation,[],[f1075,f1523]) ).
fof(f1523,plain,
( nil = app(sF63,nil)
| ~ spl66_13
| ~ spl66_65 ),
inference(backward_demodulation,[],[f1390,f1298]) ).
fof(f1075,plain,
( sF63 = app(sF63,nil)
| ~ spl66_4 ),
inference(resolution,[],[f1074,f378]) ).
fof(f378,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f695,plain,
( ~ spl66_14
| ~ spl66_16 ),
inference(avatar_split_clause,[],[f403,f691,f679]) ).
fof(f403,plain,
( ~ leq(sK23,sK20)
| ~ leq(sK20,sK23) ),
inference(cnf_transformation,[],[f262]) ).
fof(f688,plain,
spl66_4,
inference(avatar_split_clause,[],[f357,f630]) ).
fof(f357,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f682,plain,
( spl66_10
| ~ spl66_14 ),
inference(avatar_split_clause,[],[f402,f679,f660]) ).
fof(f402,plain,
( ~ leq(sK20,sK23)
| memberP(sK21,sK23) ),
inference(cnf_transformation,[],[f262]) ).
fof(f677,plain,
( ~ spl66_12
| spl66_13 ),
inference(avatar_split_clause,[],[f573,f674,f670]) ).
fof(f573,plain,
( nil = sK16
| nil != sK19 ),
inference(definition_unfolding,[],[f396,f391]) ).
fof(f391,plain,
sK18 = sK16,
inference(cnf_transformation,[],[f262]) ).
fof(f396,plain,
( nil != sK19
| nil = sK18 ),
inference(cnf_transformation,[],[f262]) ).
fof(f668,plain,
( spl66_11
| ~ spl66_1 ),
inference(avatar_split_clause,[],[f394,f617,f665]) ).
fof(f394,plain,
( ~ neq(sK19,nil)
| ssItem(sK24) ),
inference(cnf_transformation,[],[f262]) ).
fof(f663,plain,
( spl66_9
| spl66_10 ),
inference(avatar_split_clause,[],[f400,f660,f656]) ).
fof(f400,plain,
( memberP(sK21,sK23)
| memberP(sK22,sK23) ),
inference(cnf_transformation,[],[f262]) ).
fof(f643,plain,
( ~ spl66_1
| spl66_6 ),
inference(avatar_split_clause,[],[f608,f640,f617]) ).
fof(f608,plain,
( sF65 = sK16
| ~ neq(sK19,nil) ),
inference(definition_folding,[],[f574,f607]) ).
fof(f574,plain,
( ~ neq(sK19,nil)
| cons(sK24,nil) = sK16 ),
inference(definition_unfolding,[],[f392,f391]) ).
fof(f392,plain,
( ~ neq(sK19,nil)
| cons(sK24,nil) = sK18 ),
inference(cnf_transformation,[],[f262]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC284+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 18:44:56 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (14816)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50 % (14825)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.50 % (14831)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51 % (14833)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51 % (14808)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (14810)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51 % (14813)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (14813)Instruction limit reached!
% 0.20/0.51 % (14813)------------------------------
% 0.20/0.51 % (14813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (14813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (14813)Termination reason: Unknown
% 0.20/0.51 % (14813)Termination phase: Unused predicate definition removal
% 0.20/0.51
% 0.20/0.51 % (14813)Memory used [KB]: 1023
% 0.20/0.51 % (14813)Time elapsed: 0.002 s
% 0.20/0.51 % (14813)Instructions burned: 2 (million)
% 0.20/0.51 % (14813)------------------------------
% 0.20/0.51 % (14813)------------------------------
% 0.20/0.52 % (14809)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (14811)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (14818)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (14828)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53 % (14823)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (14820)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.53 % (14807)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (14814)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (14815)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (14834)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53 % (14812)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (14824)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (14805)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53 % (14806)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (14812)Instruction limit reached!
% 0.20/0.54 % (14812)------------------------------
% 0.20/0.54 % (14812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (14812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (14812)Termination reason: Unknown
% 0.20/0.54 % (14812)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (14812)Memory used [KB]: 1279
% 0.20/0.54 % (14812)Time elapsed: 0.005 s
% 0.20/0.54 % (14812)Instructions burned: 7 (million)
% 0.20/0.54 % (14812)------------------------------
% 0.20/0.54 % (14812)------------------------------
% 0.20/0.54 % (14826)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (14817)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (14830)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (14829)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (14819)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55 % (14822)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 % (14827)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.55 % (14832)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.56 % (14821)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56 TRYING [1]
% 0.20/0.57 TRYING [2]
% 0.20/0.57 % (14808)Instruction limit reached!
% 0.20/0.57 % (14808)------------------------------
% 0.20/0.57 % (14808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (14810)Instruction limit reached!
% 0.20/0.57 % (14810)------------------------------
% 0.20/0.57 % (14810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (14810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (14810)Termination reason: Unknown
% 0.20/0.57 % (14810)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (14810)Memory used [KB]: 6268
% 0.20/0.57 % (14810)Time elapsed: 0.176 s
% 0.20/0.57 % (14810)Instructions burned: 49 (million)
% 0.20/0.57 % (14810)------------------------------
% 0.20/0.57 % (14810)------------------------------
% 0.20/0.57 TRYING [1]
% 0.20/0.58 TRYING [2]
% 1.69/0.59 % (14808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.59 % (14808)Termination reason: Unknown
% 1.69/0.59 % (14808)Termination phase: Saturation
% 1.69/0.59
% 1.69/0.59 % (14808)Memory used [KB]: 6780
% 1.69/0.59 % (14808)Time elapsed: 0.170 s
% 1.69/0.59 % (14808)Instructions burned: 52 (million)
% 1.69/0.59 % (14808)------------------------------
% 1.69/0.59 % (14808)------------------------------
% 1.69/0.59 TRYING [1]
% 1.69/0.59 TRYING [2]
% 1.69/0.59 % (14807)Instruction limit reached!
% 1.69/0.59 % (14807)------------------------------
% 1.69/0.59 % (14807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.59 % (14814)Instruction limit reached!
% 1.69/0.59 % (14814)------------------------------
% 1.69/0.59 % (14814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.60 TRYING [3]
% 1.94/0.60 % (14807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.60 % (14807)Termination reason: Unknown
% 1.94/0.60 % (14807)Termination phase: Saturation
% 1.94/0.60
% 1.94/0.60 % (14807)Memory used [KB]: 1663
% 1.94/0.60 % (14807)Time elapsed: 0.188 s
% 1.94/0.60 % (14807)Instructions burned: 37 (million)
% 1.94/0.60 % (14807)------------------------------
% 1.94/0.60 % (14807)------------------------------
% 1.94/0.61 % (14811)Instruction limit reached!
% 1.94/0.61 % (14811)------------------------------
% 1.94/0.61 % (14811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.61 % (14822)Instruction limit reached!
% 1.94/0.61 % (14822)------------------------------
% 1.94/0.61 % (14822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.61 % (14815)Instruction limit reached!
% 1.94/0.61 % (14815)------------------------------
% 1.94/0.61 % (14815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.61 % (14815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.61 % (14815)Termination reason: Unknown
% 1.94/0.61 % (14815)Termination phase: Saturation
% 1.94/0.61
% 1.94/0.61 % (14815)Memory used [KB]: 6524
% 1.94/0.61 % (14815)Time elapsed: 0.211 s
% 1.94/0.61 % (14815)Instructions burned: 50 (million)
% 1.94/0.61 % (14815)------------------------------
% 1.94/0.61 % (14815)------------------------------
% 1.94/0.61 % (14811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.61 % (14811)Termination reason: Unknown
% 1.94/0.61 % (14811)Termination phase: Finite model building constraint generation
% 1.94/0.61
% 1.94/0.61 % (14811)Memory used [KB]: 7164
% 1.94/0.61 % (14811)Time elapsed: 0.180 s
% 1.94/0.61 % (14811)Instructions burned: 51 (million)
% 1.94/0.61 % (14811)------------------------------
% 1.94/0.61 % (14811)------------------------------
% 1.94/0.61 % (14822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.61 % (14822)Termination reason: Unknown
% 1.94/0.61 % (14822)Termination phase: Finite model building SAT solving
% 1.94/0.61
% 1.94/0.61 % (14822)Memory used [KB]: 7291
% 1.94/0.61 % (14822)Time elapsed: 0.206 s
% 1.94/0.61 % (14822)Instructions burned: 59 (million)
% 1.94/0.61 % (14822)------------------------------
% 1.94/0.61 % (14822)------------------------------
% 1.94/0.61 % (14814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.61 % (14814)Termination reason: Unknown
% 1.94/0.61 % (14814)Termination phase: Saturation
% 1.94/0.61
% 1.94/0.61 % (14814)Memory used [KB]: 2302
% 1.94/0.61 % (14814)Time elapsed: 0.192 s
% 1.94/0.61 % (14814)Instructions burned: 51 (million)
% 1.94/0.61 % (14814)------------------------------
% 1.94/0.61 % (14814)------------------------------
% 1.94/0.62 % (14831)Instruction limit reached!
% 1.94/0.62 % (14831)------------------------------
% 1.94/0.62 % (14831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.62 % (14831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.62 % (14831)Termination reason: Unknown
% 1.94/0.62 % (14831)Termination phase: Saturation
% 1.94/0.62
% 1.94/0.62 % (14831)Memory used [KB]: 7164
% 1.94/0.62 % (14831)Time elapsed: 0.044 s
% 1.94/0.62 % (14831)Instructions burned: 69 (million)
% 1.94/0.62 % (14831)------------------------------
% 1.94/0.62 % (14831)------------------------------
% 1.94/0.63 % (14806)Instruction limit reached!
% 1.94/0.63 % (14806)------------------------------
% 1.94/0.63 % (14806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.63 % (14806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.63 % (14806)Termination reason: Unknown
% 2.18/0.63 % (14806)Termination phase: Saturation
% 2.18/0.63
% 2.18/0.63 % (14806)Memory used [KB]: 6780
% 2.18/0.63 % (14806)Time elapsed: 0.211 s
% 2.18/0.63 % (14806)Instructions burned: 51 (million)
% 2.18/0.63 % (14806)------------------------------
% 2.18/0.63 % (14806)------------------------------
% 2.18/0.63 % (14809)Instruction limit reached!
% 2.18/0.63 % (14809)------------------------------
% 2.18/0.63 % (14809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.63 % (14809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.63 % (14809)Termination reason: Unknown
% 2.18/0.63 % (14809)Termination phase: Saturation
% 2.18/0.63
% 2.18/0.63 % (14809)Memory used [KB]: 6524
% 2.18/0.63 % (14809)Time elapsed: 0.234 s
% 2.18/0.63 % (14809)Instructions burned: 52 (million)
% 2.18/0.63 % (14809)------------------------------
% 2.18/0.63 % (14809)------------------------------
% 2.18/0.64 % (14816)Instruction limit reached!
% 2.18/0.64 % (14816)------------------------------
% 2.18/0.64 % (14816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.64 % (14816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.64 % (14816)Termination reason: Unknown
% 2.18/0.64 % (14816)Termination phase: Saturation
% 2.18/0.64
% 2.18/0.64 % (14816)Memory used [KB]: 7291
% 2.18/0.64 % (14816)Time elapsed: 0.208 s
% 2.18/0.64 % (14816)Instructions burned: 100 (million)
% 2.18/0.64 % (14816)------------------------------
% 2.18/0.64 % (14816)------------------------------
% 2.18/0.66 % (14820)Instruction limit reached!
% 2.18/0.66 % (14820)------------------------------
% 2.18/0.66 % (14820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.67 % (14835)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.18/0.67 % (14819)Instruction limit reached!
% 2.18/0.67 % (14819)------------------------------
% 2.18/0.67 % (14819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.67 % (14820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.67 % (14820)Termination reason: Unknown
% 2.18/0.67 % (14820)Termination phase: Saturation
% 2.18/0.67
% 2.18/0.67 % (14820)Memory used [KB]: 2430
% 2.18/0.67 % (14820)Time elapsed: 0.215 s
% 2.18/0.67 % (14820)Instructions burned: 76 (million)
% 2.18/0.67 % (14820)------------------------------
% 2.18/0.67 % (14820)------------------------------
% 2.18/0.68 % (14819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.68 % (14819)Termination reason: Unknown
% 2.18/0.68 % (14819)Termination phase: Saturation
% 2.18/0.68
% 2.18/0.68 % (14819)Memory used [KB]: 7164
% 2.18/0.68 % (14819)Time elapsed: 0.039 s
% 2.18/0.68 % (14819)Instructions burned: 69 (million)
% 2.18/0.68 % (14819)------------------------------
% 2.18/0.68 % (14819)------------------------------
% 2.18/0.68 % (14837)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.18/0.69 % (14823)Instruction limit reached!
% 2.18/0.69 % (14823)------------------------------
% 2.18/0.69 % (14823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.69 % (14823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.70 % (14823)Termination reason: Unknown
% 2.18/0.70 % (14823)Termination phase: Saturation
% 2.18/0.70
% 2.18/0.70 % (14823)Memory used [KB]: 7547
% 2.18/0.70 % (14823)Time elapsed: 0.303 s
% 2.18/0.70 % (14823)Instructions burned: 101 (million)
% 2.18/0.70 % (14823)------------------------------
% 2.18/0.70 % (14823)------------------------------
% 2.18/0.70 % (14836)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.18/0.71 TRYING [4]
% 2.18/0.72 % (14840)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.18/0.72 % (14838)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.18/0.72 % (14839)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.18/0.72 % (14824)Instruction limit reached!
% 2.18/0.72 % (14824)------------------------------
% 2.18/0.72 % (14824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.72 % (14824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.72 % (14824)Termination reason: Unknown
% 2.18/0.72 % (14824)Termination phase: Saturation
% 2.18/0.72
% 2.18/0.72 % (14824)Memory used [KB]: 2686
% 2.18/0.72 % (14824)Time elapsed: 0.301 s
% 2.18/0.72 % (14824)Instructions burned: 100 (million)
% 2.18/0.72 % (14824)------------------------------
% 2.18/0.72 % (14824)------------------------------
% 2.18/0.72 % (14818)Instruction limit reached!
% 2.18/0.72 % (14818)------------------------------
% 2.18/0.72 % (14818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.72 % (14818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.72 % (14818)Termination reason: Unknown
% 2.18/0.72 % (14818)Termination phase: Saturation
% 2.18/0.72
% 2.18/0.72 % (14818)Memory used [KB]: 7419
% 2.18/0.72 % (14818)Time elapsed: 0.306 s
% 2.18/0.72 % (14818)Instructions burned: 99 (million)
% 2.18/0.72 % (14818)------------------------------
% 2.18/0.72 % (14818)------------------------------
% 2.18/0.72 % (14817)Instruction limit reached!
% 2.18/0.72 % (14817)------------------------------
% 2.18/0.72 % (14817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.72 % (14817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.72 % (14817)Termination reason: Unknown
% 2.18/0.73 % (14817)Termination phase: Saturation
% 2.18/0.73
% 2.18/0.73 % (14817)Memory used [KB]: 7547
% 2.18/0.73 % (14817)Time elapsed: 0.313 s
% 2.18/0.73 % (14817)Instructions burned: 102 (million)
% 2.18/0.73 % (14817)------------------------------
% 2.18/0.73 % (14817)------------------------------
% 2.74/0.74 % (14842)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.74/0.74 % (14841)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.74/0.75 % (14843)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.74/0.75 % (14821)Instruction limit reached!
% 2.74/0.75 % (14821)------------------------------
% 2.74/0.75 % (14821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.75 % (14821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.75 % (14821)Termination reason: Unknown
% 2.74/0.75 % (14821)Termination phase: Saturation
% 2.74/0.75
% 2.74/0.75 % (14821)Memory used [KB]: 6780
% 2.74/0.75 % (14821)Time elapsed: 0.355 s
% 2.74/0.75 % (14821)Instructions burned: 100 (million)
% 2.74/0.75 % (14821)------------------------------
% 2.74/0.75 % (14821)------------------------------
% 2.74/0.75 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.74/0.75 % (14844)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.74/0.77 % (14845)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.74/0.77 % (14846)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.74/0.78 % (14825)Instruction limit reached!
% 2.74/0.78 % (14825)------------------------------
% 2.74/0.78 % (14825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.78 % (14825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.78 % (14825)Termination reason: Unknown
% 2.74/0.78 % (14825)Termination phase: Saturation
% 2.74/0.78
% 2.74/0.78 % (14825)Memory used [KB]: 7419
% 2.74/0.78 % (14825)Time elapsed: 0.363 s
% 2.74/0.78 % (14825)Instructions burned: 176 (million)
% 2.74/0.78 % (14825)------------------------------
% 2.74/0.78 % (14825)------------------------------
% 2.74/0.78 % (14847)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.74/0.79 % (14826)Instruction limit reached!
% 2.74/0.79 % (14826)------------------------------
% 2.74/0.79 % (14826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.79 % (14848)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.98/0.81 % (14849)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.98/0.81 % (14826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.98/0.81 % (14826)Termination reason: Unknown
% 2.98/0.81 % (14826)Termination phase: Saturation
% 2.98/0.81
% 2.98/0.81 % (14826)Memory used [KB]: 7164
% 2.98/0.81 % (14826)Time elapsed: 0.398 s
% 2.98/0.81 % (14826)Instructions burned: 139 (million)
% 2.98/0.81 % (14826)------------------------------
% 2.98/0.81 % (14826)------------------------------
% 2.98/0.82 % (14832)Instruction limit reached!
% 2.98/0.82 % (14832)------------------------------
% 2.98/0.82 % (14832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.98/0.83 % (14832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.98/0.83 % (14832)Termination reason: Unknown
% 2.98/0.83 % (14832)Termination phase: Saturation
% 2.98/0.83
% 2.98/0.83 % (14832)Memory used [KB]: 3582
% 2.98/0.83 % (14832)Time elapsed: 0.428 s
% 2.98/0.83 % (14832)Instructions burned: 177 (million)
% 2.98/0.83 % (14832)------------------------------
% 2.98/0.83 % (14832)------------------------------
% 2.98/0.83 % (14851)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.98/0.84 % (14837)Instruction limit reached!
% 2.98/0.84 % (14837)------------------------------
% 2.98/0.84 % (14837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.98/0.84 % (14852)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.98/0.84 % (14850)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.98/0.84 % (14837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.98/0.84 % (14837)Termination reason: Unknown
% 2.98/0.84 % (14837)Termination phase: Saturation
% 2.98/0.84
% 2.98/0.84 % (14837)Memory used [KB]: 7931
% 2.98/0.84 % (14837)Time elapsed: 0.224 s
% 2.98/0.84 % (14837)Instructions burned: 91 (million)
% 2.98/0.84 % (14837)------------------------------
% 2.98/0.84 % (14837)------------------------------
% 2.98/0.85 % (14842)Instruction limit reached!
% 2.98/0.85 % (14842)------------------------------
% 2.98/0.85 % (14842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.98/0.85 % (14842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.98/0.85 % (14842)Termination reason: Unknown
% 2.98/0.85 % (14842)Termination phase: Saturation
% 2.98/0.85
% 2.98/0.85 % (14842)Memory used [KB]: 7164
% 2.98/0.85 % (14842)Time elapsed: 0.042 s
% 2.98/0.85 % (14842)Instructions burned: 69 (million)
% 2.98/0.85 % (14842)------------------------------
% 2.98/0.85 % (14842)------------------------------
% 2.98/0.86 % (14853)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.31/0.88 % (14854)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.38/0.92 % (14855)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.47/0.93 % (14852)Instruction limit reached!
% 3.47/0.93 % (14852)------------------------------
% 3.47/0.93 % (14852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.47/0.94 % (14858)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.47/0.94 % (14845)Instruction limit reached!
% 3.47/0.94 % (14845)------------------------------
% 3.47/0.94 % (14845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.47/0.94 % (14845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.47/0.94 % (14845)Termination reason: Unknown
% 3.47/0.94 % (14845)Termination phase: Saturation
% 3.47/0.94
% 3.47/0.94 % (14845)Memory used [KB]: 7547
% 3.47/0.94 % (14845)Time elapsed: 0.262 s
% 3.47/0.94 % (14845)Instructions burned: 91 (million)
% 3.47/0.94 % (14845)------------------------------
% 3.47/0.94 % (14845)------------------------------
% 3.47/0.94 % (14856)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.47/0.95 % (14852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.47/0.95 % (14852)Termination reason: Unknown
% 3.47/0.95 % (14852)Termination phase: Saturation
% 3.47/0.95
% 3.47/0.95 % (14852)Memory used [KB]: 7036
% 3.47/0.95 % (14852)Time elapsed: 0.034 s
% 3.47/0.95 % (14852)Instructions burned: 68 (million)
% 3.47/0.95 % (14852)------------------------------
% 3.47/0.95 % (14852)------------------------------
% 3.47/0.96 % (14859)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.47/0.96 % (14857)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.47/1.01 TRYING [5]
% 3.83/1.07 % (14836)Instruction limit reached!
% 3.83/1.07 % (14836)------------------------------
% 3.83/1.07 % (14836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.83/1.07 % (14860)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9965Mi)
% 3.83/1.07 % (14861)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 3.83/1.09 % (14836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.83/1.09 % (14836)Termination reason: Unknown
% 3.83/1.09 % (14836)Termination phase: Saturation
% 3.83/1.09
% 3.83/1.09 % (14836)Memory used [KB]: 4605
% 3.83/1.09 % (14836)Time elapsed: 0.481 s
% 3.83/1.09 % (14836)Instructions burned: 213 (million)
% 3.83/1.09 % (14836)------------------------------
% 3.83/1.09 % (14836)------------------------------
% 4.01/1.11 % (14857)Instruction limit reached!
% 4.01/1.11 % (14857)------------------------------
% 4.01/1.11 % (14857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.01/1.13 % (14857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.01/1.13 % (14857)Termination reason: Unknown
% 4.01/1.13 % (14857)Termination phase: Saturation
% 4.01/1.13
% 4.01/1.13 % (14857)Memory used [KB]: 7036
% 4.01/1.13 % (14857)Time elapsed: 0.272 s
% 4.01/1.13 % (14857)Instructions burned: 90 (million)
% 4.01/1.13 % (14857)------------------------------
% 4.01/1.13 % (14857)------------------------------
% 6.61/1.20 % (14834)Instruction limit reached!
% 6.61/1.20 % (14834)------------------------------
% 6.61/1.20 % (14834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.61/1.20 % (14834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.61/1.20 % (14834)Termination reason: Unknown
% 6.61/1.20 % (14834)Termination phase: Saturation
% 6.61/1.20
% 6.61/1.20 % (14834)Memory used [KB]: 12665
% 6.61/1.20 % (14834)Time elapsed: 0.780 s
% 6.61/1.20 % (14834)Instructions burned: 356 (million)
% 6.61/1.20 % (14834)------------------------------
% 6.61/1.20 % (14834)------------------------------
% 6.99/1.25 % (14829)First to succeed.
% 6.99/1.26 % (14862)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9902Mi)
% 6.99/1.28 % (14829)Refutation found. Thanks to Tanya!
% 6.99/1.28 % SZS status Theorem for theBenchmark
% 6.99/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 6.99/1.28 % (14829)------------------------------
% 6.99/1.28 % (14829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.99/1.28 % (14829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.99/1.28 % (14829)Termination reason: Refutation
% 6.99/1.28
% 6.99/1.28 % (14829)Memory used [KB]: 11513
% 6.99/1.28 % (14829)Time elapsed: 0.861 s
% 6.99/1.28 % (14829)Instructions burned: 377 (million)
% 6.99/1.28 % (14829)------------------------------
% 6.99/1.28 % (14829)------------------------------
% 6.99/1.28 % (14804)Success in time 0.934 s
%------------------------------------------------------------------------------