TSTP Solution File: SWC164+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC164+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n023.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 May 1 04:00:14 EDT 2024
% Result : Theorem 0.60s 0.85s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 39
% Syntax : Number of formulae : 191 ( 14 unt; 0 def)
% Number of atoms : 1123 ( 209 equ)
% Maximal formula atoms : 42 ( 5 avg)
% Number of connectives : 1503 ( 571 ~; 541 |; 301 &)
% ( 23 <=>; 67 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 9 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-2 aty)
% Number of variables : 362 ( 230 !; 132 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3868,plain,
$false,
inference(avatar_sat_refutation,[],[f455,f460,f582,f615,f625,f633,f1021,f2719,f3824]) ).
fof(f3824,plain,
( ~ spl47_4
| ~ spl47_5
| ~ spl47_8
| ~ spl47_9
| ~ spl47_12
| spl47_59 ),
inference(avatar_contradiction_clause,[],[f3823]) ).
fof(f3823,plain,
( $false
| ~ spl47_4
| ~ spl47_5
| ~ spl47_8
| ~ spl47_9
| ~ spl47_12
| spl47_59 ),
inference(subsumption_resolution,[],[f3822,f2673]) ).
fof(f2673,plain,
( ~ lt(hd(sK8),hd(sK8))
| spl47_59 ),
inference(avatar_component_clause,[],[f2672]) ).
fof(f2672,plain,
( spl47_59
<=> lt(hd(sK8),hd(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl47_59])]) ).
fof(f3822,plain,
( lt(hd(sK8),hd(sK8))
| ~ spl47_4
| ~ spl47_5
| ~ spl47_8
| ~ spl47_9
| ~ spl47_12 ),
inference(forward_demodulation,[],[f3821,f2099]) ).
fof(f2099,plain,
( sK11 = hd(sK8)
| ~ spl47_4
| ~ spl47_5
| ~ spl47_9
| ~ spl47_12 ),
inference(forward_demodulation,[],[f2098,f1199]) ).
fof(f1199,plain,
( sK10 = hd(sK8)
| ~ spl47_4
| ~ spl47_5 ),
inference(subsumption_resolution,[],[f1198,f309]) ).
fof(f309,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.1pyv4duGfJ/Vampire---4.8_29720',ax17) ).
fof(f1198,plain,
( sK10 = hd(sK8)
| ~ ssList(nil)
| ~ spl47_4
| ~ spl47_5 ),
inference(subsumption_resolution,[],[f1170,f459]) ).
fof(f459,plain,
( ssItem(sK10)
| ~ spl47_5 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f457,plain,
( spl47_5
<=> ssItem(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl47_5])]) ).
fof(f1170,plain,
( sK10 = hd(sK8)
| ~ ssItem(sK10)
| ~ ssList(nil)
| ~ spl47_4 ),
inference(superposition,[],[f403,f454]) ).
fof(f454,plain,
( sK8 = cons(sK10,nil)
| ~ spl47_4 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f452,plain,
( spl47_4
<=> sK8 = cons(sK10,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl47_4])]) ).
fof(f403,plain,
! [X0,X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.1pyv4duGfJ/Vampire---4.8_29720',ax23) ).
fof(f2098,plain,
( sK10 = sK11
| ~ spl47_4
| ~ spl47_5
| ~ spl47_9
| ~ spl47_12 ),
inference(subsumption_resolution,[],[f2097,f269]) ).
fof(f269,plain,
ssItem(sK11),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
( ( ( nil = sK8
& nil = sK9 )
| ( ! [X5] :
( ~ leq(X5,sK10)
| ~ memberP(sK9,X5)
| sK10 = X5
| ~ ssItem(X5) )
& memberP(sK9,sK10)
& sK8 = cons(sK10,nil)
& ssItem(sK10) ) )
& ~ neq(sK11,sK12)
& sK6 = app(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)),sK14)
& ssList(sK14)
& ssList(sK13)
& ssItem(sK12)
& ssItem(sK11)
& sK6 = sK8
& sK7 = sK9
& ssList(sK9)
& ssList(sK8)
& ssList(sK7)
& ssList(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14])],[f99,f189,f188,f187,f186,f185,f184,f183,f182,f181]) ).
fof(f181,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ~ neq(X6,X7)
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = X0
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ~ neq(X6,X7)
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK6
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK6 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ~ neq(X6,X7)
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK6
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK6 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ~ neq(X6,X7)
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK6
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK6 = X2
& sK7 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ~ neq(X6,X7)
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK6
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK6 = X2
& sK7 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil = sK8
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = sK8
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ~ neq(X6,X7)
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK6
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK6 = sK8
& sK7 = X3
& ssList(X3) )
& ssList(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
( ? [X3] :
( ( ( nil = sK8
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = sK8
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ~ neq(X6,X7)
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK6
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK6 = sK8
& sK7 = X3
& ssList(X3) )
=> ( ( ( nil = sK8
& nil = sK9 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(sK9,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(sK9,X4)
& cons(X4,nil) = sK8
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ~ neq(X6,X7)
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK6
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK6 = sK8
& sK7 = sK9
& ssList(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
( ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(sK9,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(sK9,X4)
& cons(X4,nil) = sK8
& ssItem(X4) )
=> ( ! [X5] :
( ~ leq(X5,sK10)
| ~ memberP(sK9,X5)
| sK10 = X5
| ~ ssItem(X5) )
& memberP(sK9,sK10)
& sK8 = cons(sK10,nil)
& ssItem(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ~ neq(X6,X7)
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK6
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
=> ( ? [X7] :
( ? [X8] :
( ? [X9] :
( ~ neq(sK11,X7)
& sK6 = app(app(app(X8,cons(sK11,nil)),cons(X7,nil)),X9)
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ~ neq(sK11,X7)
& sK6 = app(app(app(X8,cons(sK11,nil)),cons(X7,nil)),X9)
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
=> ( ? [X8] :
( ? [X9] :
( ~ neq(sK11,sK12)
& sK6 = app(app(app(X8,cons(sK11,nil)),cons(sK12,nil)),X9)
& ssList(X9) )
& ssList(X8) )
& ssItem(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
( ? [X8] :
( ? [X9] :
( ~ neq(sK11,sK12)
& sK6 = app(app(app(X8,cons(sK11,nil)),cons(sK12,nil)),X9)
& ssList(X9) )
& ssList(X8) )
=> ( ? [X9] :
( ~ neq(sK11,sK12)
& sK6 = app(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)),X9)
& ssList(X9) )
& ssList(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f189,plain,
( ? [X9] :
( ~ neq(sK11,sK12)
& sK6 = app(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)),X9)
& ssList(X9) )
=> ( ~ neq(sK11,sK12)
& sK6 = app(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)),sK14)
& ssList(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ~ neq(X6,X7)
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = X0
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ? [X5] :
( leq(X5,X4)
& memberP(X3,X5)
& X4 != X5
& ssItem(X5) )
| ~ memberP(X3,X4)
| cons(X4,nil) != X2
| ~ ssItem(X4) ) )
| ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( neq(X6,X7)
| app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) != X0
| ~ ssList(X9) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( nil != X2
| nil != X3 )
& ! [X8] :
( ? [X9] :
( leq(X9,X8)
& memberP(X3,X9)
& X8 != X9
& ssItem(X9) )
| ~ memberP(X3,X8)
| cons(X8,nil) != X2
| ~ ssItem(X8) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( neq(X4,X5)
| app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| ~ ssList(X7) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( nil != X2
| nil != X3 )
& ! [X8] :
( ? [X9] :
( leq(X9,X8)
& memberP(X3,X9)
& X8 != X9
& ssItem(X9) )
| ~ memberP(X3,X8)
| cons(X8,nil) != X2
| ~ ssItem(X8) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( neq(X4,X5)
| app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| ~ ssList(X7) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1pyv4duGfJ/Vampire---4.8_29720',co1) ).
fof(f2097,plain,
( sK10 = sK11
| ~ ssItem(sK11)
| ~ spl47_4
| ~ spl47_5
| ~ spl47_9
| ~ spl47_12 ),
inference(resolution,[],[f2096,f1197]) ).
fof(f1197,plain,
( ! [X0] :
( ~ memberP(sK8,X0)
| sK10 = X0
| ~ ssItem(X0) )
| ~ spl47_4
| ~ spl47_5 ),
inference(subsumption_resolution,[],[f1196,f310]) ).
fof(f310,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/tmp/tmp.1pyv4duGfJ/Vampire---4.8_29720',ax38) ).
fof(f1196,plain,
( ! [X0] :
( ~ memberP(sK8,X0)
| sK10 = X0
| memberP(nil,X0)
| ~ ssItem(X0) )
| ~ spl47_4
| ~ spl47_5 ),
inference(subsumption_resolution,[],[f1195,f459]) ).
fof(f1195,plain,
( ! [X0] :
( ~ memberP(sK8,X0)
| sK10 = X0
| memberP(nil,X0)
| ~ ssItem(sK10)
| ~ ssItem(X0) )
| ~ spl47_4 ),
inference(subsumption_resolution,[],[f1164,f309]) ).
fof(f1164,plain,
( ! [X0] :
( ~ memberP(sK8,X0)
| sK10 = X0
| memberP(nil,X0)
| ~ ssList(nil)
| ~ ssItem(sK10)
| ~ ssItem(X0) )
| ~ spl47_4 ),
inference(superposition,[],[f311,f454]) ).
fof(f311,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| X0 = X1
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1pyv4duGfJ/Vampire---4.8_29720',ax37) ).
fof(f2096,plain,
( memberP(sK8,sK11)
| ~ spl47_9
| ~ spl47_12 ),
inference(subsumption_resolution,[],[f2095,f526]) ).
fof(f526,plain,
( ssList(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)))
| ~ spl47_12 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f525,plain,
( spl47_12
<=> ssList(app(app(sK13,cons(sK11,nil)),cons(sK11,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl47_12])]) ).
fof(f2095,plain,
( memberP(sK8,sK11)
| ~ ssList(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)))
| ~ spl47_9
| ~ spl47_12 ),
inference(subsumption_resolution,[],[f2094,f510]) ).
fof(f510,plain,
( ssList(app(sK13,cons(sK11,nil)))
| ~ spl47_9 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f509,plain,
( spl47_9
<=> ssList(app(sK13,cons(sK11,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl47_9])]) ).
fof(f2094,plain,
( memberP(sK8,sK11)
| ~ ssList(app(sK13,cons(sK11,nil)))
| ~ ssList(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)))
| ~ spl47_12 ),
inference(subsumption_resolution,[],[f2093,f309]) ).
fof(f2093,plain,
( memberP(sK8,sK11)
| ~ ssList(nil)
| ~ ssList(app(sK13,cons(sK11,nil)))
| ~ ssList(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)))
| ~ spl47_12 ),
inference(subsumption_resolution,[],[f2087,f269]) ).
fof(f2087,plain,
( memberP(sK8,sK11)
| ~ ssItem(sK11)
| ~ ssList(nil)
| ~ ssList(app(sK13,cons(sK11,nil)))
| ~ ssList(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)))
| ~ spl47_12 ),
inference(duplicate_literal_removal,[],[f2084]) ).
fof(f2084,plain,
( memberP(sK8,sK11)
| ~ ssItem(sK11)
| ~ ssList(nil)
| ~ ssList(app(sK13,cons(sK11,nil)))
| ~ ssItem(sK11)
| ~ ssList(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)))
| ~ spl47_12 ),
inference(resolution,[],[f1133,f422]) ).
fof(f422,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f320]) ).
fof(f320,plain,
! [X2,X3,X0,X1] :
( memberP(X0,X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(sK19(X0,X1),cons(X1,sK20(X0,X1))) = X0
& ssList(sK20(X0,X1))
& ssList(sK19(X0,X1)) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f206,f208,f207]) ).
fof(f207,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(sK19(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
& ssList(sK19(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f208,plain,
! [X0,X1] :
( ? [X5] :
( app(sK19(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
=> ( app(sK19(X0,X1),cons(X1,sK20(X0,X1))) = X0
& ssList(sK20(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1pyv4duGfJ/Vampire---4.8_29720',ax3) ).
fof(f1133,plain,
( ! [X0] :
( ~ memberP(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)),X0)
| memberP(sK8,X0)
| ~ ssItem(X0) )
| ~ spl47_12 ),
inference(subsumption_resolution,[],[f1132,f526]) ).
fof(f1132,plain,
! [X0] :
( ~ ssList(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)))
| ~ memberP(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)),X0)
| memberP(sK8,X0)
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f972,f472]) ).
fof(f472,plain,
sK11 = sK12,
inference(subsumption_resolution,[],[f471,f269]) ).
fof(f471,plain,
( sK11 = sK12
| ~ ssItem(sK11) ),
inference(subsumption_resolution,[],[f469,f270]) ).
fof(f270,plain,
ssItem(sK12),
inference(cnf_transformation,[],[f190]) ).
fof(f469,plain,
( sK11 = sK12
| ~ ssItem(sK12)
| ~ ssItem(sK11) ),
inference(resolution,[],[f274,f308]) ).
fof(f308,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1pyv4duGfJ/Vampire---4.8_29720',ax1) ).
fof(f274,plain,
~ neq(sK11,sK12),
inference(cnf_transformation,[],[f190]) ).
fof(f972,plain,
! [X0] :
( ~ memberP(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)),X0)
| memberP(sK8,X0)
| ~ ssList(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f574,f472]) ).
fof(f574,plain,
! [X0] :
( memberP(sK8,X0)
| ~ memberP(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)),X0)
| ~ ssList(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f486,f272]) ).
fof(f272,plain,
ssList(sK14),
inference(cnf_transformation,[],[f190]) ).
fof(f486,plain,
! [X0] :
( memberP(sK8,X0)
| ~ memberP(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)),X0)
| ~ ssList(sK14)
| ~ ssList(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)))
| ~ ssItem(X0) ),
inference(superposition,[],[f315,f414]) ).
fof(f414,plain,
sK8 = app(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)),sK14),
inference(definition_unfolding,[],[f273,f268]) ).
fof(f268,plain,
sK6 = sK8,
inference(cnf_transformation,[],[f190]) ).
fof(f273,plain,
sK6 = app(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)),sK14),
inference(cnf_transformation,[],[f190]) ).
fof(f315,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ! [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) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f203]) ).
fof(f203,plain,
! [X0] :
( ! [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) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
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/sandbox/tmp/tmp.1pyv4duGfJ/Vampire---4.8_29720',ax36) ).
fof(f3821,plain,
( lt(sK11,sK11)
| ~ spl47_4
| ~ spl47_5
| ~ spl47_8
| ~ spl47_9 ),
inference(subsumption_resolution,[],[f3820,f265]) ).
fof(f265,plain,
ssList(sK8),
inference(cnf_transformation,[],[f190]) ).
fof(f3820,plain,
( lt(sK11,sK11)
| ~ ssList(sK8)
| ~ spl47_4
| ~ spl47_5
| ~ spl47_8
| ~ spl47_9 ),
inference(subsumption_resolution,[],[f3819,f269]) ).
fof(f3819,plain,
( ~ ssItem(sK11)
| lt(sK11,sK11)
| ~ ssList(sK8)
| ~ spl47_4
| ~ spl47_5
| ~ spl47_8
| ~ spl47_9 ),
inference(subsumption_resolution,[],[f3818,f271]) ).
fof(f271,plain,
ssList(sK13),
inference(cnf_transformation,[],[f190]) ).
fof(f3818,plain,
( ~ ssList(sK13)
| ~ ssItem(sK11)
| lt(sK11,sK11)
| ~ ssList(sK8)
| ~ spl47_4
| ~ spl47_5
| ~ spl47_8
| ~ spl47_9 ),
inference(subsumption_resolution,[],[f3817,f309]) ).
fof(f3817,plain,
( ~ ssList(nil)
| ~ ssList(sK13)
| ~ ssItem(sK11)
| lt(sK11,sK11)
| ~ ssList(sK8)
| ~ spl47_4
| ~ spl47_5
| ~ spl47_8
| ~ spl47_9 ),
inference(subsumption_resolution,[],[f3816,f272]) ).
fof(f3816,plain,
( ~ ssList(sK14)
| ~ ssList(nil)
| ~ ssList(sK13)
| ~ ssItem(sK11)
| lt(sK11,sK11)
| ~ ssList(sK8)
| ~ spl47_4
| ~ spl47_5
| ~ spl47_8
| ~ spl47_9 ),
inference(subsumption_resolution,[],[f3750,f1187]) ).
fof(f1187,plain,
( strictorderedP(sK8)
| ~ spl47_4
| ~ spl47_5 ),
inference(subsumption_resolution,[],[f1186,f459]) ).
fof(f1186,plain,
( strictorderedP(sK8)
| ~ ssItem(sK10)
| ~ spl47_4 ),
inference(subsumption_resolution,[],[f1153,f309]) ).
fof(f1153,plain,
( strictorderedP(sK8)
| ~ ssList(nil)
| ~ ssItem(sK10)
| ~ spl47_4 ),
inference(superposition,[],[f429,f454]) ).
fof(f429,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f372]) ).
fof(f372,plain,
! [X0,X1] :
( strictorderedP(cons(X0,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0] :
( ! [X1] :
( ( ( strictorderedP(cons(X0,X1))
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f241]) ).
fof(f241,plain,
! [X0] :
( ! [X1] :
( ( ( strictorderedP(cons(X0,X1))
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1pyv4duGfJ/Vampire---4.8_29720',ax70) ).
fof(f3750,plain,
( ~ strictorderedP(sK8)
| ~ ssList(sK14)
| ~ ssList(nil)
| ~ ssList(sK13)
| ~ ssItem(sK11)
| lt(sK11,sK11)
| ~ ssList(sK8)
| ~ spl47_8
| ~ spl47_9 ),
inference(duplicate_literal_removal,[],[f3730]) ).
fof(f3730,plain,
( ~ strictorderedP(sK8)
| ~ ssList(sK14)
| ~ ssList(nil)
| ~ ssList(sK13)
| ~ ssItem(sK11)
| ~ ssItem(sK11)
| lt(sK11,sK11)
| ~ ssList(sK8)
| ~ spl47_8
| ~ spl47_9 ),
inference(superposition,[],[f431,f1931]) ).
fof(f1931,plain,
( sK8 = app(app(sK13,cons(sK11,nil)),cons(sK11,sK14))
| ~ spl47_8
| ~ spl47_9 ),
inference(subsumption_resolution,[],[f1930,f272]) ).
fof(f1930,plain,
( sK8 = app(app(sK13,cons(sK11,nil)),cons(sK11,sK14))
| ~ ssList(sK14)
| ~ spl47_8
| ~ spl47_9 ),
inference(subsumption_resolution,[],[f1913,f269]) ).
fof(f1913,plain,
( sK8 = app(app(sK13,cons(sK11,nil)),cons(sK11,sK14))
| ~ ssItem(sK11)
| ~ ssList(sK14)
| ~ spl47_8
| ~ spl47_9 ),
inference(superposition,[],[f1121,f299]) ).
fof(f299,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.1pyv4duGfJ/Vampire---4.8_29720',ax81) ).
fof(f1121,plain,
( sK8 = app(app(sK13,cons(sK11,nil)),app(cons(sK11,nil),sK14))
| ~ spl47_8
| ~ spl47_9 ),
inference(subsumption_resolution,[],[f1120,f501]) ).
fof(f501,plain,
( ssList(cons(sK11,nil))
| ~ spl47_8 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f500,plain,
( spl47_8
<=> ssList(cons(sK11,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl47_8])]) ).
fof(f1120,plain,
( ~ ssList(cons(sK11,nil))
| sK8 = app(app(sK13,cons(sK11,nil)),app(cons(sK11,nil),sK14))
| ~ spl47_9 ),
inference(forward_demodulation,[],[f1011,f472]) ).
fof(f1011,plain,
( sK8 = app(app(sK13,cons(sK11,nil)),app(cons(sK11,nil),sK14))
| ~ ssList(cons(sK12,nil))
| ~ spl47_9 ),
inference(subsumption_resolution,[],[f505,f510]) ).
fof(f505,plain,
( sK8 = app(app(sK13,cons(sK11,nil)),app(cons(sK11,nil),sK14))
| ~ ssList(cons(sK12,nil))
| ~ ssList(app(sK13,cons(sK11,nil))) ),
inference(forward_demodulation,[],[f504,f472]) ).
fof(f504,plain,
( sK8 = app(app(sK13,cons(sK11,nil)),app(cons(sK12,nil),sK14))
| ~ ssList(cons(sK12,nil))
| ~ ssList(app(sK13,cons(sK11,nil))) ),
inference(subsumption_resolution,[],[f476,f272]) ).
fof(f476,plain,
( sK8 = app(app(sK13,cons(sK11,nil)),app(cons(sK12,nil),sK14))
| ~ ssList(sK14)
| ~ ssList(cons(sK12,nil))
| ~ ssList(app(sK13,cons(sK11,nil))) ),
inference(superposition,[],[f414,f298]) ).
fof(f298,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1pyv4duGfJ/Vampire---4.8_29720',ax82) ).
fof(f431,plain,
! [X10,X8,X6,X9,X7] :
( ~ strictorderedP(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| lt(X6,X7)
| ~ ssList(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f378]) ).
fof(f378,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ strictorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f251,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ( ~ lt(sK36(X0),sK37(X0))
& app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),sK40(X0))) = X0
& ssList(sK40(X0))
& ssList(sK39(X0))
& ssList(sK38(X0))
& ssItem(sK37(X0))
& ssItem(sK36(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37,sK38,sK39,sK40])],[f245,f250,f249,f248,f247,f246]) ).
fof(f246,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK36(X0),X2)
& app(app(X3,cons(sK36(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK36(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f247,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK36(X0),X2)
& app(app(X3,cons(sK36(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK36(X0),sK37(X0))
& app(app(X3,cons(sK36(X0),X4)),cons(sK37(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK37(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f248,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK36(X0),sK37(X0))
& app(app(X3,cons(sK36(X0),X4)),cons(sK37(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ lt(sK36(X0),sK37(X0))
& app(app(sK38(X0),cons(sK36(X0),X4)),cons(sK37(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK38(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f249,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK36(X0),sK37(X0))
& app(app(sK38(X0),cons(sK36(X0),X4)),cons(sK37(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ lt(sK36(X0),sK37(X0))
& app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),X5)) = X0
& ssList(X5) )
& ssList(sK39(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f250,plain,
! [X0] :
( ? [X5] :
( ~ lt(sK36(X0),sK37(X0))
& app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),X5)) = X0
& ssList(X5) )
=> ( ~ lt(sK36(X0),sK37(X0))
& app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),sK40(X0))) = X0
& ssList(sK40(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f245,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f244]) ).
fof(f244,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> lt(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1pyv4duGfJ/Vampire---4.8_29720',ax12) ).
fof(f2719,plain,
( ~ spl47_4
| ~ spl47_5
| ~ spl47_59 ),
inference(avatar_contradiction_clause,[],[f2718]) ).
fof(f2718,plain,
( $false
| ~ spl47_4
| ~ spl47_5
| ~ spl47_59 ),
inference(subsumption_resolution,[],[f2709,f1262]) ).
fof(f1262,plain,
( ssItem(hd(sK8))
| ~ spl47_4
| ~ spl47_5 ),
inference(superposition,[],[f459,f1199]) ).
fof(f2709,plain,
( ~ ssItem(hd(sK8))
| ~ spl47_59 ),
inference(resolution,[],[f2674,f437]) ).
fof(f437,plain,
! [X1] :
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f423]) ).
fof(f423,plain,
! [X1] :
( ~ lt(X1,X1)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f321]) ).
fof(f321,plain,
! [X0,X1] :
( X0 != X1
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1 )
& ( ( leq(X0,X1)
& X0 != X1 )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1 )
& ( ( leq(X0,X1)
& X0 != X1 )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1pyv4duGfJ/Vampire---4.8_29720',ax93) ).
fof(f2674,plain,
( lt(hd(sK8),hd(sK8))
| ~ spl47_59 ),
inference(avatar_component_clause,[],[f2672]) ).
fof(f1021,plain,
( ~ spl47_12
| ~ spl47_9
| ~ spl47_17 ),
inference(avatar_split_clause,[],[f952,f580,f509,f525]) ).
fof(f580,plain,
( spl47_17
<=> ! [X0] :
( ~ memberP(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)),X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl47_17])]) ).
fof(f952,plain,
( ~ ssList(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)))
| ~ spl47_9
| ~ spl47_17 ),
inference(subsumption_resolution,[],[f951,f510]) ).
fof(f951,plain,
( ~ ssList(app(sK13,cons(sK11,nil)))
| ~ ssList(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)))
| ~ spl47_17 ),
inference(subsumption_resolution,[],[f950,f309]) ).
fof(f950,plain,
( ~ ssList(nil)
| ~ ssList(app(sK13,cons(sK11,nil)))
| ~ ssList(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)))
| ~ spl47_17 ),
inference(subsumption_resolution,[],[f940,f269]) ).
fof(f940,plain,
( ~ ssItem(sK11)
| ~ ssList(nil)
| ~ ssList(app(sK13,cons(sK11,nil)))
| ~ ssList(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)))
| ~ spl47_17 ),
inference(duplicate_literal_removal,[],[f936]) ).
fof(f936,plain,
( ~ ssItem(sK11)
| ~ ssList(nil)
| ~ ssList(app(sK13,cons(sK11,nil)))
| ~ ssItem(sK11)
| ~ ssList(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)))
| ~ spl47_17 ),
inference(resolution,[],[f581,f422]) ).
fof(f581,plain,
( ! [X0] :
( ~ memberP(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)),X0)
| ~ ssItem(X0) )
| ~ spl47_17 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f633,plain,
( ~ spl47_8
| ~ spl47_9
| spl47_12 ),
inference(avatar_contradiction_clause,[],[f632]) ).
fof(f632,plain,
( $false
| ~ spl47_8
| ~ spl47_9
| spl47_12 ),
inference(subsumption_resolution,[],[f631,f510]) ).
fof(f631,plain,
( ~ ssList(app(sK13,cons(sK11,nil)))
| ~ spl47_8
| spl47_12 ),
inference(subsumption_resolution,[],[f627,f501]) ).
fof(f627,plain,
( ~ ssList(cons(sK11,nil))
| ~ ssList(app(sK13,cons(sK11,nil)))
| spl47_12 ),
inference(resolution,[],[f527,f304]) ).
fof(f304,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,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/tmp/tmp.1pyv4duGfJ/Vampire---4.8_29720',ax26) ).
fof(f527,plain,
( ~ ssList(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)))
| spl47_12 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f625,plain,
( ~ spl47_8
| spl47_9 ),
inference(avatar_contradiction_clause,[],[f624]) ).
fof(f624,plain,
( $false
| ~ spl47_8
| spl47_9 ),
inference(subsumption_resolution,[],[f623,f271]) ).
fof(f623,plain,
( ~ ssList(sK13)
| ~ spl47_8
| spl47_9 ),
inference(subsumption_resolution,[],[f621,f501]) ).
fof(f621,plain,
( ~ ssList(cons(sK11,nil))
| ~ ssList(sK13)
| spl47_9 ),
inference(resolution,[],[f511,f304]) ).
fof(f511,plain,
( ~ ssList(app(sK13,cons(sK11,nil)))
| spl47_9 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f615,plain,
spl47_8,
inference(avatar_contradiction_clause,[],[f614]) ).
fof(f614,plain,
( $false
| spl47_8 ),
inference(subsumption_resolution,[],[f613,f309]) ).
fof(f613,plain,
( ~ ssList(nil)
| spl47_8 ),
inference(subsumption_resolution,[],[f611,f269]) ).
fof(f611,plain,
( ~ ssItem(sK11)
| ~ ssList(nil)
| spl47_8 ),
inference(resolution,[],[f502,f293]) ).
fof(f293,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.1pyv4duGfJ/Vampire---4.8_29720',ax16) ).
fof(f502,plain,
( ~ ssList(cons(sK11,nil))
| spl47_8 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f582,plain,
( spl47_17
| ~ spl47_12
| ~ spl47_2 ),
inference(avatar_split_clause,[],[f578,f442,f525,f580]) ).
fof(f442,plain,
( spl47_2
<=> nil = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl47_2])]) ).
fof(f578,plain,
( ! [X0] :
( ~ ssList(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)))
| ~ memberP(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)),X0)
| ~ ssItem(X0) )
| ~ spl47_2 ),
inference(forward_demodulation,[],[f577,f472]) ).
fof(f577,plain,
( ! [X0] :
( ~ memberP(app(app(sK13,cons(sK11,nil)),cons(sK11,nil)),X0)
| ~ ssList(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)))
| ~ ssItem(X0) )
| ~ spl47_2 ),
inference(forward_demodulation,[],[f576,f472]) ).
fof(f576,plain,
( ! [X0] :
( ~ memberP(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)),X0)
| ~ ssList(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)))
| ~ ssItem(X0) )
| ~ spl47_2 ),
inference(subsumption_resolution,[],[f575,f310]) ).
fof(f575,plain,
( ! [X0] :
( memberP(nil,X0)
| ~ memberP(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)),X0)
| ~ ssList(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)))
| ~ ssItem(X0) )
| ~ spl47_2 ),
inference(forward_demodulation,[],[f574,f444]) ).
fof(f444,plain,
( nil = sK8
| ~ spl47_2 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f460,plain,
( spl47_5
| spl47_2 ),
inference(avatar_split_clause,[],[f279,f442,f457]) ).
fof(f279,plain,
( nil = sK8
| ssItem(sK10) ),
inference(cnf_transformation,[],[f190]) ).
fof(f455,plain,
( spl47_4
| spl47_2 ),
inference(avatar_split_clause,[],[f280,f442,f452]) ).
fof(f280,plain,
( nil = sK8
| sK8 = cons(sK10,nil) ),
inference(cnf_transformation,[],[f190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWC164+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 18:36:10 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.1pyv4duGfJ/Vampire---4.8_29720
% 0.56/0.75 % (29976)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.75 % (29973)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.76 % (29970)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.76 % (29972)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76 % (29971)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.76 % (29974)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.76 % (29975)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.76 % (29977)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.76 % (29977)Refutation not found, incomplete strategy% (29977)------------------------------
% 0.56/0.76 % (29977)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (29977)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (29977)Memory used [KB]: 1160
% 0.56/0.76 % (29977)Time elapsed: 0.005 s
% 0.56/0.76 % (29977)Instructions burned: 6 (million)
% 0.56/0.76 % (29977)------------------------------
% 0.56/0.76 % (29977)------------------------------
% 0.60/0.76 % (29978)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.60/0.77 % (29973)Instruction limit reached!
% 0.60/0.77 % (29973)------------------------------
% 0.60/0.77 % (29973)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (29973)Termination reason: Unknown
% 0.60/0.77 % (29973)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (29973)Memory used [KB]: 1688
% 0.60/0.77 % (29973)Time elapsed: 0.018 s
% 0.60/0.77 % (29973)Instructions burned: 35 (million)
% 0.60/0.77 % (29973)------------------------------
% 0.60/0.77 % (29973)------------------------------
% 0.60/0.77 % (29974)Instruction limit reached!
% 0.60/0.77 % (29974)------------------------------
% 0.60/0.77 % (29974)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (29974)Termination reason: Unknown
% 0.60/0.77 % (29974)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (29974)Memory used [KB]: 2029
% 0.60/0.77 % (29974)Time elapsed: 0.020 s
% 0.60/0.77 % (29974)Instructions burned: 35 (million)
% 0.60/0.77 % (29974)------------------------------
% 0.60/0.77 % (29974)------------------------------
% 0.60/0.77 % (29979)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.60/0.77 % (29970)Instruction limit reached!
% 0.60/0.77 % (29970)------------------------------
% 0.60/0.77 % (29970)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (29970)Termination reason: Unknown
% 0.60/0.77 % (29970)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (29970)Memory used [KB]: 1501
% 0.60/0.77 % (29970)Time elapsed: 0.021 s
% 0.60/0.77 % (29970)Instructions burned: 35 (million)
% 0.60/0.77 % (29970)------------------------------
% 0.60/0.77 % (29970)------------------------------
% 0.60/0.78 % (29976)Instruction limit reached!
% 0.60/0.78 % (29976)------------------------------
% 0.60/0.78 % (29976)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (29976)Termination reason: Unknown
% 0.60/0.78 % (29976)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (29976)Memory used [KB]: 2105
% 0.60/0.78 % (29976)Time elapsed: 0.024 s
% 0.60/0.78 % (29976)Instructions burned: 85 (million)
% 0.60/0.78 % (29976)------------------------------
% 0.60/0.78 % (29976)------------------------------
% 0.60/0.78 % (29980)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.78 % (29981)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.60/0.78 % (29982)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.60/0.78 % (29975)Instruction limit reached!
% 0.60/0.78 % (29975)------------------------------
% 0.60/0.78 % (29975)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (29975)Termination reason: Unknown
% 0.60/0.78 % (29975)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (29975)Memory used [KB]: 1618
% 0.60/0.78 % (29975)Time elapsed: 0.026 s
% 0.60/0.78 % (29975)Instructions burned: 46 (million)
% 0.60/0.78 % (29975)------------------------------
% 0.60/0.78 % (29975)------------------------------
% 0.60/0.78 % (29983)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.60/0.79 % (29971)Instruction limit reached!
% 0.60/0.79 % (29971)------------------------------
% 0.60/0.79 % (29971)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (29971)Termination reason: Unknown
% 0.60/0.79 % (29971)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (29971)Memory used [KB]: 2003
% 0.60/0.79 % (29971)Time elapsed: 0.034 s
% 0.60/0.79 % (29971)Instructions burned: 52 (million)
% 0.60/0.79 % (29971)------------------------------
% 0.60/0.79 % (29971)------------------------------
% 0.60/0.79 % (29984)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.60/0.79 % (29978)Instruction limit reached!
% 0.60/0.79 % (29978)------------------------------
% 0.60/0.79 % (29978)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (29978)Termination reason: Unknown
% 0.60/0.79 % (29978)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (29978)Memory used [KB]: 2033
% 0.60/0.80 % (29978)Time elapsed: 0.033 s
% 0.60/0.80 % (29978)Instructions burned: 56 (million)
% 0.60/0.80 % (29978)------------------------------
% 0.60/0.80 % (29978)------------------------------
% 0.60/0.80 % (29979)Instruction limit reached!
% 0.60/0.80 % (29979)------------------------------
% 0.60/0.80 % (29979)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (29979)Termination reason: Unknown
% 0.60/0.80 % (29979)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (29979)Memory used [KB]: 1915
% 0.60/0.80 % (29979)Time elapsed: 0.023 s
% 0.60/0.80 % (29979)Instructions burned: 50 (million)
% 0.60/0.80 % (29979)------------------------------
% 0.60/0.80 % (29979)------------------------------
% 0.60/0.80 % (29986)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.60/0.80 % (29985)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.60/0.80 % (29972)Instruction limit reached!
% 0.60/0.80 % (29972)------------------------------
% 0.60/0.80 % (29972)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (29972)Termination reason: Unknown
% 0.60/0.80 % (29972)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (29972)Memory used [KB]: 2126
% 0.60/0.80 % (29972)Time elapsed: 0.048 s
% 0.60/0.80 % (29972)Instructions burned: 79 (million)
% 0.60/0.80 % (29972)------------------------------
% 0.60/0.80 % (29972)------------------------------
% 0.60/0.81 % (29987)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.60/0.81 % (29983)Instruction limit reached!
% 0.60/0.81 % (29983)------------------------------
% 0.60/0.81 % (29983)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (29983)Termination reason: Unknown
% 0.60/0.81 % (29983)Termination phase: Saturation
% 0.60/0.81
% 0.60/0.81 % (29983)Memory used [KB]: 2044
% 0.60/0.81 % (29983)Time elapsed: 0.025 s
% 0.60/0.81 % (29983)Instructions burned: 42 (million)
% 0.60/0.81 % (29983)------------------------------
% 0.60/0.81 % (29983)------------------------------
% 0.60/0.81 % (29981)Instruction limit reached!
% 0.60/0.81 % (29981)------------------------------
% 0.60/0.81 % (29981)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (29981)Termination reason: Unknown
% 0.60/0.81 % (29981)Termination phase: Saturation
% 0.60/0.81
% 0.60/0.81 % (29981)Memory used [KB]: 1848
% 0.60/0.81 % (29981)Time elapsed: 0.032 s
% 0.60/0.81 % (29981)Instructions burned: 52 (million)
% 0.60/0.81 % (29981)------------------------------
% 0.60/0.81 % (29981)------------------------------
% 0.60/0.81 % (29988)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.60/0.81 % (29989)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.60/0.83 % (29989)Instruction limit reached!
% 0.60/0.83 % (29989)------------------------------
% 0.60/0.83 % (29989)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83 % (29989)Termination reason: Unknown
% 0.60/0.83 % (29989)Termination phase: Saturation
% 0.60/0.83
% 0.60/0.83 % (29989)Memory used [KB]: 1530
% 0.60/0.83 % (29989)Time elapsed: 0.021 s
% 0.60/0.83 % (29989)Instructions burned: 32 (million)
% 0.60/0.83 % (29989)------------------------------
% 0.60/0.83 % (29989)------------------------------
% 0.60/0.84 % (29990)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.60/0.84 % (29982)First to succeed.
% 0.60/0.84 % (29988)Instruction limit reached!
% 0.60/0.84 % (29988)------------------------------
% 0.60/0.84 % (29988)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.84 % (29988)Termination reason: Unknown
% 0.60/0.84 % (29988)Termination phase: Saturation
% 0.60/0.84
% 0.60/0.84 % (29988)Memory used [KB]: 2237
% 0.60/0.84 % (29988)Time elapsed: 0.035 s
% 0.60/0.84 % (29988)Instructions burned: 63 (million)
% 0.60/0.84 % (29988)------------------------------
% 0.60/0.84 % (29988)------------------------------
% 0.60/0.85 % (29982)Refutation found. Thanks to Tanya!
% 0.60/0.85 % SZS status Theorem for Vampire---4
% 0.60/0.85 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.85 % (29982)------------------------------
% 0.60/0.85 % (29982)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.85 % (29982)Termination reason: Refutation
% 0.60/0.85
% 0.60/0.85 % (29982)Memory used [KB]: 2859
% 0.60/0.85 % (29982)Time elapsed: 0.065 s
% 0.60/0.85 % (29982)Instructions burned: 216 (million)
% 0.60/0.85 % (29982)------------------------------
% 0.60/0.85 % (29982)------------------------------
% 0.60/0.85 % (29966)Success in time 0.465 s
% 0.60/0.85 % Vampire---4.8 exiting
%------------------------------------------------------------------------------