TSTP Solution File: SWC183+1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWC183+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n025.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 : Mon Jun 24 16:41:21 EDT 2024
% Result : Theorem 65.03s 9.68s
% Output : Refutation 65.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 40
% Syntax : Number of formulae : 274 ( 14 unt; 0 def)
% Number of atoms : 1087 ( 166 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 1455 ( 642 ~; 670 |; 44 &)
% ( 28 <=>; 71 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 275 ( 254 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17993,plain,
$false,
inference(avatar_sat_refutation,[],[f473,f482,f542,f2581,f2589,f3365,f3369,f3433,f9681,f12459,f12684,f12776,f17574,f17885,f17983]) ).
fof(f17983,plain,
( ~ spl55_2
| ~ spl55_6
| ~ spl55_19
| ~ spl55_40 ),
inference(avatar_contradiction_clause,[],[f17982]) ).
fof(f17982,plain,
( $false
| ~ spl55_2
| ~ spl55_6
| ~ spl55_19
| ~ spl55_40 ),
inference(subsumption_resolution,[],[f17981,f14967]) ).
fof(f14967,plain,
( ~ frontsegP(sK2,cons(sK5,sK2))
| ~ spl55_2
| ~ spl55_6 ),
inference(subsumption_resolution,[],[f14966,f10437]) ).
fof(f10437,plain,
( sK2 != cons(sK5,sK2)
| ~ spl55_2 ),
inference(resolution,[],[f9832,f239]) ).
fof(f239,plain,
ssList(sK2),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X4,X5)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ( memberP(X8,X6)
| memberP(X7,X6) )
& app(app(X7,cons(X6,nil)),X8) = X0
& ssList(X8) )
& ssList(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(X4,X5)
& memberP(X3,X5)
& X4 != X5
& ssItem(X5) )
| ~ memberP(X3,X4)
| cons(X4,nil) != X2
| ~ ssItem(X4) ) )
| ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ( ~ memberP(X8,X6)
& ~ memberP(X7,X6) )
| app(app(X7,cons(X6,nil)),X8) != X0
| ~ ssList(X8) ) ) )
| 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 )
& ! [X7] :
( ? [X8] :
( leq(X7,X8)
& memberP(X3,X8)
& X7 != X8
& ssItem(X8) )
| ~ memberP(X3,X7)
| cons(X7,nil) != X2
| ~ ssItem(X7) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ( ~ memberP(X6,X4)
& ~ memberP(X5,X4) )
| app(app(X5,cons(X4,nil)),X6) != X0
| ~ ssList(X6) ) ) )
| 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 )
& ! [X7] :
( ? [X8] :
( leq(X7,X8)
& memberP(X3,X8)
& X7 != X8
& ssItem(X8) )
| ~ memberP(X3,X7)
| cons(X7,nil) != X2
| ~ ssItem(X7) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ( ~ memberP(X6,X4)
& ~ memberP(X5,X4) )
| app(app(X5,cons(X4,nil)),X6) != X0
| ~ ssList(X6) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f9832,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sK5,X0) != X0 )
| ~ spl55_2 ),
inference(resolution,[],[f472,f385]) ).
fof(f385,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != X0 ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,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',unknown) ).
fof(f472,plain,
( ssItem(sK5)
| ~ spl55_2 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f470,plain,
( spl55_2
<=> ssItem(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_2])]) ).
fof(f14966,plain,
( ~ frontsegP(sK2,cons(sK5,sK2))
| sK2 = cons(sK5,sK2)
| ~ spl55_2
| ~ spl55_6 ),
inference(subsumption_resolution,[],[f14959,f239]) ).
fof(f14959,plain,
( ~ frontsegP(sK2,cons(sK5,sK2))
| ~ ssList(sK2)
| sK2 = cons(sK5,sK2)
| ~ spl55_2
| ~ spl55_6 ),
inference(duplicate_literal_removal,[],[f14949]) ).
fof(f14949,plain,
( ~ frontsegP(sK2,cons(sK5,sK2))
| ~ ssList(sK2)
| ~ ssList(sK2)
| sK2 = cons(sK5,sK2)
| ~ spl55_2
| ~ spl55_6 ),
inference(superposition,[],[f1437,f10975]) ).
fof(f10975,plain,
( cons(sK5,sK2) = app(sK2,sK2)
| ~ spl55_2
| ~ spl55_6 ),
inference(forward_demodulation,[],[f10955,f541]) ).
fof(f541,plain,
( sK2 = cons(sK5,nil)
| ~ spl55_6 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f539,plain,
( spl55_6
<=> sK2 = cons(sK5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_6])]) ).
fof(f10955,plain,
( cons(sK5,sK2) = app(cons(sK5,nil),sK2)
| ~ spl55_2 ),
inference(resolution,[],[f1222,f472]) ).
fof(f1222,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK2) = app(cons(X0,nil),sK2) ),
inference(resolution,[],[f388,f239]) ).
fof(f388,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,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/benchmark/theBenchmark.p',unknown) ).
fof(f1437,plain,
! [X0,X1] :
( ~ frontsegP(X1,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,X0) = X1 ),
inference(subsumption_resolution,[],[f1436,f393]) ).
fof(f393,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,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',unknown) ).
fof(f1436,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(app(X1,X0))
| app(X1,X0) = X1 ),
inference(duplicate_literal_removal,[],[f1426]) ).
fof(f1426,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(app(X1,X0))
| app(X1,X0) = X1 ),
inference(resolution,[],[f1425,f399]) ).
fof(f399,plain,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( frontsegP(X1,X0)
& frontsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1425,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f455,f393]) ).
fof(f455,plain,
! [X2,X1] :
( ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X1,X2),X1) ),
inference(equality_resolution,[],[f411]) ).
fof(f411,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != X0
| frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f17981,plain,
( frontsegP(sK2,cons(sK5,sK2))
| ~ spl55_2
| ~ spl55_6
| ~ spl55_19
| ~ spl55_40 ),
inference(forward_demodulation,[],[f17953,f10975]) ).
fof(f17953,plain,
( frontsegP(sK2,app(sK2,sK2))
| ~ spl55_2
| ~ spl55_6
| ~ spl55_19
| ~ spl55_40 ),
inference(backward_demodulation,[],[f11584,f12454]) ).
fof(f12454,plain,
( sK2 = sK6
| ~ spl55_40 ),
inference(avatar_component_clause,[],[f12452]) ).
fof(f12452,plain,
( spl55_40
<=> sK2 = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_40])]) ).
fof(f11584,plain,
( frontsegP(sK2,app(sK6,sK2))
| ~ spl55_2
| ~ spl55_6
| ~ spl55_19 ),
inference(forward_demodulation,[],[f11566,f541]) ).
fof(f11566,plain,
( frontsegP(sK2,app(sK6,cons(sK5,nil)))
| ~ spl55_2
| ~ spl55_6
| ~ spl55_19 ),
inference(backward_demodulation,[],[f7063,f11524]) ).
fof(f11524,plain,
( sK4 = sK5
| ~ spl55_2
| ~ spl55_6
| ~ spl55_19 ),
inference(subsumption_resolution,[],[f11522,f235]) ).
fof(f235,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f99]) ).
fof(f11522,plain,
( sK4 = sK5
| ~ ssItem(sK4)
| ~ spl55_2
| ~ spl55_6
| ~ spl55_19 ),
inference(resolution,[],[f11360,f9904]) ).
fof(f9904,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| sK5 = X0
| ~ ssItem(X0) )
| ~ spl55_2
| ~ spl55_6 ),
inference(subsumption_resolution,[],[f9903,f251]) ).
fof(f251,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f9903,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| sK5 = X0
| memberP(nil,X0)
| ~ ssItem(X0) )
| ~ spl55_2
| ~ spl55_6 ),
inference(subsumption_resolution,[],[f9902,f250]) ).
fof(f250,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f9902,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| ~ ssList(nil)
| sK5 = X0
| memberP(nil,X0)
| ~ ssItem(X0) )
| ~ spl55_2
| ~ spl55_6 ),
inference(subsumption_resolution,[],[f9864,f472]) ).
fof(f9864,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| ~ ssItem(sK5)
| ~ ssList(nil)
| sK5 = X0
| memberP(nil,X0)
| ~ ssItem(X0) )
| ~ spl55_6 ),
inference(superposition,[],[f281,f541]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 = X1
| memberP(X2,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,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/benchmark/theBenchmark.p',unknown) ).
fof(f11360,plain,
( memberP(sK2,sK4)
| ~ spl55_19 ),
inference(subsumption_resolution,[],[f11359,f3423]) ).
fof(f3423,plain,
( ssList(app(sK6,cons(sK4,nil)))
| ~ spl55_19 ),
inference(avatar_component_clause,[],[f3422]) ).
fof(f3422,plain,
( spl55_19
<=> ssList(app(sK6,cons(sK4,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_19])]) ).
fof(f11359,plain,
( memberP(sK2,sK4)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl55_19 ),
inference(subsumption_resolution,[],[f11358,f250]) ).
fof(f11358,plain,
( memberP(sK2,sK4)
| ~ ssList(nil)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl55_19 ),
inference(subsumption_resolution,[],[f11357,f228]) ).
fof(f228,plain,
ssList(sK6),
inference(cnf_transformation,[],[f99]) ).
fof(f11357,plain,
( memberP(sK2,sK4)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl55_19 ),
inference(subsumption_resolution,[],[f11344,f235]) ).
fof(f11344,plain,
( memberP(sK2,sK4)
| ~ ssItem(sK4)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl55_19 ),
inference(duplicate_literal_removal,[],[f11343]) ).
fof(f11343,plain,
( memberP(sK2,sK4)
| ~ ssItem(sK4)
| ~ ssItem(sK4)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl55_19 ),
inference(resolution,[],[f10206,f451]) ).
fof(f451,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f389]) ).
fof(f389,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0
| memberP(X0,X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,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/benchmark/theBenchmark.p',unknown) ).
fof(f10206,plain,
( ! [X0] :
( ~ memberP(app(sK6,cons(sK4,nil)),X0)
| memberP(sK2,X0)
| ~ ssItem(X0) )
| ~ spl55_19 ),
inference(subsumption_resolution,[],[f10205,f224]) ).
fof(f224,plain,
ssList(sK7),
inference(cnf_transformation,[],[f99]) ).
fof(f10205,plain,
( ! [X0] :
( memberP(sK2,X0)
| ~ ssList(sK7)
| ~ memberP(app(sK6,cons(sK4,nil)),X0)
| ~ ssItem(X0) )
| ~ spl55_19 ),
inference(subsumption_resolution,[],[f10186,f3423]) ).
fof(f10186,plain,
! [X0] :
( memberP(sK2,X0)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssList(sK7)
| ~ memberP(app(sK6,cons(sK4,nil)),X0)
| ~ ssItem(X0) ),
inference(superposition,[],[f296,f432]) ).
fof(f432,plain,
sK2 = app(app(sK6,cons(sK4,nil)),sK7),
inference(definition_unfolding,[],[f225,f238]) ).
fof(f238,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f99]) ).
fof(f225,plain,
sK0 = app(app(sK6,cons(sK4,nil)),sK7),
inference(cnf_transformation,[],[f99]) ).
fof(f296,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X1,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,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/benchmark/theBenchmark.p',unknown) ).
fof(f7063,plain,
( frontsegP(sK2,app(sK6,cons(sK4,nil)))
| ~ spl55_19 ),
inference(subsumption_resolution,[],[f1439,f3423]) ).
fof(f1439,plain,
( frontsegP(sK2,app(sK6,cons(sK4,nil)))
| ~ ssList(app(sK6,cons(sK4,nil))) ),
inference(subsumption_resolution,[],[f1433,f224]) ).
fof(f1433,plain,
( frontsegP(sK2,app(sK6,cons(sK4,nil)))
| ~ ssList(sK7)
| ~ ssList(app(sK6,cons(sK4,nil))) ),
inference(superposition,[],[f1425,f432]) ).
fof(f17885,plain,
( spl55_41
| ~ spl55_2
| ~ spl55_6
| spl55_12
| ~ spl55_19
| ~ spl55_42
| ~ spl55_56 ),
inference(avatar_split_clause,[],[f17839,f17522,f12671,f3422,f2416,f539,f470,f12456]) ).
fof(f12456,plain,
( spl55_41
<=> frontsegP(sK6,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_41])]) ).
fof(f2416,plain,
( spl55_12
<=> nil = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_12])]) ).
fof(f12671,plain,
( spl55_42
<=> ssItem(hd(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_42])]) ).
fof(f17522,plain,
( spl55_56
<=> ssList(tl(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_56])]) ).
fof(f17839,plain,
( frontsegP(sK6,sK2)
| ~ spl55_2
| ~ spl55_6
| spl55_12
| ~ spl55_19
| ~ spl55_42
| ~ spl55_56 ),
inference(subsumption_resolution,[],[f17728,f17523]) ).
fof(f17523,plain,
( ssList(tl(sK6))
| ~ spl55_56 ),
inference(avatar_component_clause,[],[f17522]) ).
fof(f17728,plain,
( frontsegP(sK6,sK2)
| ~ ssList(tl(sK6))
| ~ spl55_2
| ~ spl55_6
| spl55_12
| ~ spl55_19
| ~ spl55_42
| ~ spl55_56 ),
inference(superposition,[],[f9949,f17715]) ).
fof(f17715,plain,
( sK6 = cons(sK5,tl(sK6))
| ~ spl55_2
| ~ spl55_6
| spl55_12
| ~ spl55_19
| ~ spl55_42
| ~ spl55_56 ),
inference(backward_demodulation,[],[f13184,f17710]) ).
fof(f17710,plain,
( sK5 = hd(sK6)
| ~ spl55_2
| ~ spl55_6
| spl55_12
| ~ spl55_19
| ~ spl55_42
| ~ spl55_56 ),
inference(subsumption_resolution,[],[f13264,f17523]) ).
fof(f13264,plain,
( ~ ssList(tl(sK6))
| sK5 = hd(sK6)
| ~ spl55_2
| ~ spl55_6
| spl55_12
| ~ spl55_19
| ~ spl55_42 ),
inference(subsumption_resolution,[],[f13263,f12672]) ).
fof(f12672,plain,
( ssItem(hd(sK6))
| ~ spl55_42 ),
inference(avatar_component_clause,[],[f12671]) ).
fof(f13263,plain,
( ~ ssItem(hd(sK6))
| ~ ssList(tl(sK6))
| sK5 = hd(sK6)
| ~ spl55_2
| ~ spl55_6
| spl55_12
| ~ spl55_19 ),
inference(subsumption_resolution,[],[f13226,f12163]) ).
fof(f12163,plain,
( frontsegP(sK2,sK6)
| ~ spl55_2
| ~ spl55_6
| ~ spl55_19 ),
inference(subsumption_resolution,[],[f12162,f239]) ).
fof(f12162,plain,
( frontsegP(sK2,sK6)
| ~ ssList(sK2)
| ~ spl55_2
| ~ spl55_6
| ~ spl55_19 ),
inference(subsumption_resolution,[],[f12161,f228]) ).
fof(f12161,plain,
( frontsegP(sK2,sK6)
| ~ ssList(sK6)
| ~ ssList(sK2)
| ~ spl55_2
| ~ spl55_6
| ~ spl55_19 ),
inference(duplicate_literal_removal,[],[f12153]) ).
fof(f12153,plain,
( frontsegP(sK2,sK6)
| ~ ssList(sK6)
| ~ ssList(sK2)
| ~ ssList(sK6)
| ~ spl55_2
| ~ spl55_6
| ~ spl55_19 ),
inference(resolution,[],[f12151,f1425]) ).
fof(f12151,plain,
( ! [X0] :
( ~ frontsegP(app(sK6,sK2),X0)
| frontsegP(sK2,X0)
| ~ ssList(X0) )
| ~ spl55_2
| ~ spl55_6
| ~ spl55_19 ),
inference(forward_demodulation,[],[f12150,f541]) ).
fof(f12150,plain,
( ! [X0] :
( ~ frontsegP(app(sK6,cons(sK5,nil)),X0)
| frontsegP(sK2,X0)
| ~ ssList(X0) )
| ~ spl55_2
| ~ spl55_6
| ~ spl55_19 ),
inference(forward_demodulation,[],[f10212,f11524]) ).
fof(f10212,plain,
( ! [X0] :
( frontsegP(sK2,X0)
| ~ ssList(X0)
| ~ frontsegP(app(sK6,cons(sK4,nil)),X0) )
| ~ spl55_19 ),
inference(subsumption_resolution,[],[f10211,f3423]) ).
fof(f10211,plain,
! [X0] :
( frontsegP(sK2,X0)
| ~ ssList(X0)
| ~ frontsegP(app(sK6,cons(sK4,nil)),X0)
| ~ ssList(app(sK6,cons(sK4,nil))) ),
inference(subsumption_resolution,[],[f10192,f224]) ).
fof(f10192,plain,
! [X0] :
( frontsegP(sK2,X0)
| ~ ssList(X0)
| ~ ssList(sK7)
| ~ frontsegP(app(sK6,cons(sK4,nil)),X0)
| ~ ssList(app(sK6,cons(sK4,nil))) ),
inference(superposition,[],[f420,f432]) ).
fof(f420,plain,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X0,X1)
=> frontsegP(app(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f13226,plain,
( ~ frontsegP(sK2,sK6)
| ~ ssItem(hd(sK6))
| ~ ssList(tl(sK6))
| sK5 = hd(sK6)
| ~ spl55_2
| ~ spl55_6
| spl55_12 ),
inference(superposition,[],[f9908,f13184]) ).
fof(f9908,plain,
( ! [X0,X1] :
( ~ frontsegP(sK2,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| sK5 = X0 )
| ~ spl55_2
| ~ spl55_6 ),
inference(subsumption_resolution,[],[f9907,f472]) ).
fof(f9907,plain,
( ! [X0,X1] :
( ~ frontsegP(sK2,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| sK5 = X0
| ~ ssItem(sK5) )
| ~ spl55_6 ),
inference(subsumption_resolution,[],[f9867,f250]) ).
fof(f9867,plain,
( ! [X0,X1] :
( ~ frontsegP(sK2,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| sK5 = X0
| ~ ssItem(sK5) )
| ~ spl55_6 ),
inference(superposition,[],[f284,f541]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| X0 = X1
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( frontsegP(X2,X3)
& X0 = X1 ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( frontsegP(X2,X3)
& X0 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f13184,plain,
( sK6 = cons(hd(sK6),tl(sK6))
| spl55_12 ),
inference(subsumption_resolution,[],[f1040,f2417]) ).
fof(f2417,plain,
( nil != sK6
| spl55_12 ),
inference(avatar_component_clause,[],[f2416]) ).
fof(f1040,plain,
( nil = sK6
| sK6 = cons(hd(sK6),tl(sK6)) ),
inference(resolution,[],[f311,f228]) ).
fof(f311,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f9949,plain,
( ! [X0] :
( frontsegP(cons(sK5,X0),sK2)
| ~ ssList(X0) )
| ~ spl55_2
| ~ spl55_6 ),
inference(subsumption_resolution,[],[f9948,f301]) ).
fof(f301,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f9948,plain,
( ! [X0] :
( frontsegP(cons(sK5,X0),sK2)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) )
| ~ spl55_2
| ~ spl55_6 ),
inference(subsumption_resolution,[],[f9947,f472]) ).
fof(f9947,plain,
( ! [X0] :
( frontsegP(cons(sK5,X0),sK2)
| ~ ssList(X0)
| ~ frontsegP(X0,nil)
| ~ ssItem(sK5) )
| ~ spl55_6 ),
inference(subsumption_resolution,[],[f9890,f250]) ).
fof(f9890,plain,
( ! [X0] :
( frontsegP(cons(sK5,X0),sK2)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(X0,nil)
| ~ ssItem(sK5) )
| ~ spl55_6 ),
inference(superposition,[],[f461,f541]) ).
fof(f461,plain,
! [X2,X3,X1] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X2,X3)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f436]) ).
fof(f436,plain,
! [X2,X3,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X2,X3)
| frontsegP(cons(X1,X2),cons(X1,X3)) ),
inference(equality_resolution,[],[f286]) ).
fof(f286,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| X0 != X1
| ~ frontsegP(X2,X3)
| frontsegP(cons(X0,X2),cons(X1,X3)) ),
inference(cnf_transformation,[],[f136]) ).
fof(f17574,plain,
( spl55_12
| spl55_56 ),
inference(avatar_contradiction_clause,[],[f17573]) ).
fof(f17573,plain,
( $false
| spl55_12
| spl55_56 ),
inference(subsumption_resolution,[],[f17572,f228]) ).
fof(f17572,plain,
( ~ ssList(sK6)
| spl55_12
| spl55_56 ),
inference(subsumption_resolution,[],[f17571,f2417]) ).
fof(f17571,plain,
( nil = sK6
| ~ ssList(sK6)
| spl55_56 ),
inference(resolution,[],[f17524,f310]) ).
fof(f310,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f17524,plain,
( ~ ssList(tl(sK6))
| spl55_56 ),
inference(avatar_component_clause,[],[f17522]) ).
fof(f12776,plain,
( spl55_1
| ~ spl55_2
| ~ spl55_6
| ~ spl55_12
| spl55_14
| ~ spl55_19 ),
inference(avatar_contradiction_clause,[],[f12775]) ).
fof(f12775,plain,
( $false
| spl55_1
| ~ spl55_2
| ~ spl55_6
| ~ spl55_12
| spl55_14
| ~ spl55_19 ),
inference(subsumption_resolution,[],[f12774,f2427]) ).
fof(f2427,plain,
( nil != sK7
| spl55_14 ),
inference(avatar_component_clause,[],[f2426]) ).
fof(f2426,plain,
( spl55_14
<=> nil = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_14])]) ).
fof(f12774,plain,
( nil = sK7
| spl55_1
| ~ spl55_2
| ~ spl55_6
| ~ spl55_12
| ~ spl55_19 ),
inference(forward_demodulation,[],[f12754,f10660]) ).
fof(f10660,plain,
( nil = tl(sK2)
| ~ spl55_2
| ~ spl55_6 ),
inference(forward_demodulation,[],[f10627,f541]) ).
fof(f10627,plain,
( nil = tl(cons(sK5,nil))
| ~ spl55_2 ),
inference(resolution,[],[f9833,f250]) ).
fof(f9833,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sK5,X0)) = X0 )
| ~ spl55_2 ),
inference(resolution,[],[f472,f386]) ).
fof(f386,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f12754,plain,
( sK7 = tl(sK2)
| spl55_1
| ~ spl55_2
| ~ spl55_6
| ~ spl55_12
| ~ spl55_19 ),
inference(backward_demodulation,[],[f12326,f12746]) ).
fof(f12746,plain,
( sK2 = app(sK2,sK7)
| ~ spl55_2
| ~ spl55_6
| ~ spl55_12
| ~ spl55_19 ),
inference(forward_demodulation,[],[f12731,f494]) ).
fof(f494,plain,
sK2 = app(nil,sK2),
inference(resolution,[],[f305,f239]) ).
fof(f305,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f12731,plain,
( sK2 = app(app(nil,sK2),sK7)
| ~ spl55_2
| ~ spl55_6
| ~ spl55_12
| ~ spl55_19 ),
inference(backward_demodulation,[],[f11569,f2418]) ).
fof(f2418,plain,
( nil = sK6
| ~ spl55_12 ),
inference(avatar_component_clause,[],[f2416]) ).
fof(f11569,plain,
( sK2 = app(app(sK6,sK2),sK7)
| ~ spl55_2
| ~ spl55_6
| ~ spl55_19 ),
inference(forward_demodulation,[],[f11536,f541]) ).
fof(f11536,plain,
( sK2 = app(app(sK6,cons(sK5,nil)),sK7)
| ~ spl55_2
| ~ spl55_6
| ~ spl55_19 ),
inference(backward_demodulation,[],[f432,f11524]) ).
fof(f12326,plain,
( sK7 = tl(app(sK2,sK7))
| spl55_1
| ~ spl55_2
| ~ spl55_6 ),
inference(forward_demodulation,[],[f12325,f497]) ).
fof(f497,plain,
sK7 = app(nil,sK7),
inference(resolution,[],[f305,f224]) ).
fof(f12325,plain,
( app(nil,sK7) = tl(app(sK2,sK7))
| spl55_1
| ~ spl55_2
| ~ spl55_6 ),
inference(forward_demodulation,[],[f12324,f10660]) ).
fof(f12324,plain,
( tl(app(sK2,sK7)) = app(tl(sK2),sK7)
| spl55_1 ),
inference(subsumption_resolution,[],[f12289,f467]) ).
fof(f467,plain,
( nil != sK2
| spl55_1 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f466,plain,
( spl55_1
<=> nil = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_1])]) ).
fof(f12289,plain,
( nil = sK2
| tl(app(sK2,sK7)) = app(tl(sK2),sK7) ),
inference(resolution,[],[f1732,f239]) ).
fof(f1732,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| tl(app(X0,sK7)) = app(tl(X0),sK7) ),
inference(resolution,[],[f395,f224]) ).
fof(f395,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f12684,plain,
( spl55_12
| spl55_42 ),
inference(avatar_contradiction_clause,[],[f12683]) ).
fof(f12683,plain,
( $false
| spl55_12
| spl55_42 ),
inference(subsumption_resolution,[],[f12682,f228]) ).
fof(f12682,plain,
( ~ ssList(sK6)
| spl55_12
| spl55_42 ),
inference(subsumption_resolution,[],[f12681,f2417]) ).
fof(f12681,plain,
( nil = sK6
| ~ ssList(sK6)
| spl55_42 ),
inference(resolution,[],[f12673,f309]) ).
fof(f309,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f12673,plain,
( ~ ssItem(hd(sK6))
| spl55_42 ),
inference(avatar_component_clause,[],[f12671]) ).
fof(f12459,plain,
( spl55_40
| ~ spl55_41
| ~ spl55_2
| ~ spl55_6
| ~ spl55_19 ),
inference(avatar_split_clause,[],[f12177,f3422,f539,f470,f12456,f12452]) ).
fof(f12177,plain,
( ~ frontsegP(sK6,sK2)
| sK2 = sK6
| ~ spl55_2
| ~ spl55_6
| ~ spl55_19 ),
inference(subsumption_resolution,[],[f12176,f239]) ).
fof(f12176,plain,
( ~ frontsegP(sK6,sK2)
| ~ ssList(sK2)
| sK2 = sK6
| ~ spl55_2
| ~ spl55_6
| ~ spl55_19 ),
inference(subsumption_resolution,[],[f12169,f228]) ).
fof(f12169,plain,
( ~ frontsegP(sK6,sK2)
| ~ ssList(sK6)
| ~ ssList(sK2)
| sK2 = sK6
| ~ spl55_2
| ~ spl55_6
| ~ spl55_19 ),
inference(resolution,[],[f12163,f399]) ).
fof(f9681,plain,
( ~ spl55_1
| ~ spl55_17
| ~ spl55_18 ),
inference(avatar_contradiction_clause,[],[f9680]) ).
fof(f9680,plain,
( $false
| ~ spl55_1
| ~ spl55_17
| ~ spl55_18 ),
inference(subsumption_resolution,[],[f9679,f680]) ).
fof(f680,plain,
nil != cons(sK4,nil),
inference(resolution,[],[f638,f250]) ).
fof(f638,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK4,X0) != X0 ),
inference(resolution,[],[f385,f235]) ).
fof(f9679,plain,
( nil = cons(sK4,nil)
| ~ spl55_1
| ~ spl55_17
| ~ spl55_18 ),
inference(subsumption_resolution,[],[f9678,f250]) ).
fof(f9678,plain,
( ~ ssList(nil)
| nil = cons(sK4,nil)
| ~ spl55_1
| ~ spl55_17
| ~ spl55_18 ),
inference(subsumption_resolution,[],[f9677,f3359]) ).
fof(f3359,plain,
( ssList(cons(sK4,nil))
| ~ spl55_17 ),
inference(avatar_component_clause,[],[f3358]) ).
fof(f3358,plain,
( spl55_17
<=> ssList(cons(sK4,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_17])]) ).
fof(f9677,plain,
( ~ ssList(cons(sK4,nil))
| ~ ssList(nil)
| nil = cons(sK4,nil)
| ~ spl55_1
| ~ spl55_17
| ~ spl55_18 ),
inference(subsumption_resolution,[],[f9669,f9477]) ).
fof(f9477,plain,
( segmentP(nil,nil)
| ~ spl55_1
| ~ spl55_17 ),
inference(backward_demodulation,[],[f4167,f468]) ).
fof(f468,plain,
( nil = sK2
| ~ spl55_1 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f4167,plain,
( segmentP(sK2,nil)
| ~ spl55_17 ),
inference(subsumption_resolution,[],[f4166,f3359]) ).
fof(f4166,plain,
( segmentP(sK2,nil)
| ~ ssList(cons(sK4,nil))
| ~ spl55_17 ),
inference(subsumption_resolution,[],[f4161,f250]) ).
fof(f4161,plain,
( ~ ssList(nil)
| segmentP(sK2,nil)
| ~ ssList(cons(sK4,nil))
| ~ spl55_17 ),
inference(resolution,[],[f3500,f298]) ).
fof(f298,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3500,plain,
( ! [X0] :
( ~ segmentP(cons(sK4,nil),X0)
| ~ ssList(X0)
| segmentP(sK2,X0) )
| ~ spl55_17 ),
inference(subsumption_resolution,[],[f3499,f3359]) ).
fof(f3499,plain,
! [X0] :
( segmentP(sK2,X0)
| ~ ssList(X0)
| ~ segmentP(cons(sK4,nil),X0)
| ~ ssList(cons(sK4,nil)) ),
inference(subsumption_resolution,[],[f3498,f224]) ).
fof(f3498,plain,
! [X0] :
( segmentP(sK2,X0)
| ~ ssList(X0)
| ~ ssList(sK7)
| ~ segmentP(cons(sK4,nil),X0)
| ~ ssList(cons(sK4,nil)) ),
inference(subsumption_resolution,[],[f3484,f228]) ).
fof(f3484,plain,
! [X0] :
( segmentP(sK2,X0)
| ~ ssList(X0)
| ~ ssList(sK6)
| ~ ssList(sK7)
| ~ segmentP(cons(sK4,nil),X0)
| ~ ssList(cons(sK4,nil)) ),
inference(superposition,[],[f426,f432]) ).
fof(f426,plain,
! [X2,X3,X0,X1] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X0,X1)
=> segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f9669,plain,
( ~ segmentP(nil,nil)
| ~ ssList(cons(sK4,nil))
| ~ ssList(nil)
| nil = cons(sK4,nil)
| ~ spl55_1
| ~ spl55_18 ),
inference(resolution,[],[f9470,f1706]) ).
fof(f1706,plain,
! [X0,X1] :
( ~ segmentP(nil,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
inference(subsumption_resolution,[],[f1705,f250]) ).
fof(f1705,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0)
| ~ segmentP(X0,X1)
| ~ ssList(nil)
| nil = X1 ),
inference(duplicate_literal_removal,[],[f1700]) ).
fof(f1700,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0)
| ~ segmentP(X0,X1)
| ~ ssList(nil)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f423,f378]) ).
fof(f378,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f423,plain,
! [X2,X0,X1] :
( segmentP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X0,X1) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f9470,plain,
( segmentP(nil,cons(sK4,nil))
| ~ spl55_1
| ~ spl55_18 ),
inference(backward_demodulation,[],[f3364,f468]) ).
fof(f3364,plain,
( segmentP(sK2,cons(sK4,nil))
| ~ spl55_18 ),
inference(avatar_component_clause,[],[f3362]) ).
fof(f3362,plain,
( spl55_18
<=> segmentP(sK2,cons(sK4,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_18])]) ).
fof(f3433,plain,
( ~ spl55_17
| spl55_19 ),
inference(avatar_contradiction_clause,[],[f3432]) ).
fof(f3432,plain,
( $false
| ~ spl55_17
| spl55_19 ),
inference(subsumption_resolution,[],[f3431,f228]) ).
fof(f3431,plain,
( ~ ssList(sK6)
| ~ spl55_17
| spl55_19 ),
inference(subsumption_resolution,[],[f3430,f3359]) ).
fof(f3430,plain,
( ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| spl55_19 ),
inference(resolution,[],[f3424,f393]) ).
fof(f3424,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| spl55_19 ),
inference(avatar_component_clause,[],[f3422]) ).
fof(f3369,plain,
spl55_17,
inference(avatar_contradiction_clause,[],[f3368]) ).
fof(f3368,plain,
( $false
| spl55_17 ),
inference(subsumption_resolution,[],[f3367,f250]) ).
fof(f3367,plain,
( ~ ssList(nil)
| spl55_17 ),
inference(subsumption_resolution,[],[f3366,f235]) ).
fof(f3366,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl55_17 ),
inference(resolution,[],[f3360,f383]) ).
fof(f383,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,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/benchmark/theBenchmark.p',unknown) ).
fof(f3360,plain,
( ~ ssList(cons(sK4,nil))
| spl55_17 ),
inference(avatar_component_clause,[],[f3358]) ).
fof(f3365,plain,
( ~ spl55_17
| spl55_18 ),
inference(avatar_split_clause,[],[f2409,f3362,f3358]) ).
fof(f2409,plain,
( segmentP(sK2,cons(sK4,nil))
| ~ ssList(cons(sK4,nil)) ),
inference(subsumption_resolution,[],[f2408,f239]) ).
fof(f2408,plain,
( segmentP(sK2,cons(sK4,nil))
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK2) ),
inference(subsumption_resolution,[],[f2407,f224]) ).
fof(f2407,plain,
( segmentP(sK2,cons(sK4,nil))
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK7)
| ~ ssList(sK2) ),
inference(subsumption_resolution,[],[f2392,f228]) ).
fof(f2392,plain,
( segmentP(sK2,cons(sK4,nil))
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| ~ ssList(sK7)
| ~ ssList(sK2) ),
inference(superposition,[],[f454,f432]) ).
fof(f454,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f405]) ).
fof(f405,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,X1),X3) != X0
| segmentP(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2589,plain,
( ~ spl55_4
| ~ spl55_12 ),
inference(avatar_contradiction_clause,[],[f2588]) ).
fof(f2588,plain,
( $false
| ~ spl55_4
| ~ spl55_12 ),
inference(subsumption_resolution,[],[f2586,f235]) ).
fof(f2586,plain,
( ~ ssItem(sK4)
| ~ spl55_4
| ~ spl55_12 ),
inference(resolution,[],[f2584,f251]) ).
fof(f2584,plain,
( memberP(nil,sK4)
| ~ spl55_4
| ~ spl55_12 ),
inference(forward_demodulation,[],[f481,f2418]) ).
fof(f481,plain,
( memberP(sK6,sK4)
| ~ spl55_4 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f479,plain,
( spl55_4
<=> memberP(sK6,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_4])]) ).
fof(f2581,plain,
( ~ spl55_3
| ~ spl55_14 ),
inference(avatar_contradiction_clause,[],[f2580]) ).
fof(f2580,plain,
( $false
| ~ spl55_3
| ~ spl55_14 ),
inference(subsumption_resolution,[],[f2578,f235]) ).
fof(f2578,plain,
( ~ ssItem(sK4)
| ~ spl55_3
| ~ spl55_14 ),
inference(resolution,[],[f2568,f251]) ).
fof(f2568,plain,
( memberP(nil,sK4)
| ~ spl55_3
| ~ spl55_14 ),
inference(backward_demodulation,[],[f477,f2428]) ).
fof(f2428,plain,
( nil = sK7
| ~ spl55_14 ),
inference(avatar_component_clause,[],[f2426]) ).
fof(f477,plain,
( memberP(sK7,sK4)
| ~ spl55_3 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f475,plain,
( spl55_3
<=> memberP(sK7,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_3])]) ).
fof(f542,plain,
( spl55_1
| spl55_6 ),
inference(avatar_split_clause,[],[f230,f539,f466]) ).
fof(f230,plain,
( sK2 = cons(sK5,nil)
| nil = sK2 ),
inference(cnf_transformation,[],[f99]) ).
fof(f482,plain,
( spl55_3
| spl55_4 ),
inference(avatar_split_clause,[],[f223,f479,f475]) ).
fof(f223,plain,
( memberP(sK6,sK4)
| memberP(sK7,sK4) ),
inference(cnf_transformation,[],[f99]) ).
fof(f473,plain,
( spl55_1
| spl55_2 ),
inference(avatar_split_clause,[],[f229,f470,f466]) ).
fof(f229,plain,
( ssItem(sK5)
| nil = sK2 ),
inference(cnf_transformation,[],[f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC183+1 : TPTP v8.2.0. Released v2.4.0.
% 0.10/0.12 % Command : run_vampire %s %d SAT
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 20 05:01:09 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.35 Running first-order model finding
% 0.11/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.42 % (10130)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (10138)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.21/0.42 % (10130)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (10139)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.21/0.42 % (10130)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (10140)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.21/0.42 % (10130)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (10137)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.21/0.42 % (10130)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (10141)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.21/0.42 % (10130)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (10136)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.21/0.43 % (10130)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (10142)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.21/0.44 TRYING [1]
% 0.21/0.44 TRYING [2]
% 0.21/0.45 TRYING [3]
% 0.21/0.48 % (10140)Instruction limit reached!
% 0.21/0.48 % (10140)------------------------------
% 0.21/0.48 % (10140)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (10140)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (10140)Termination reason: Time limit
% 0.21/0.48 % (10140)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (10140)Memory used [KB]: 1638
% 0.21/0.48 % (10140)Time elapsed: 0.058 s
% 0.21/0.48 % (10140)Instructions burned: 104 (million)
% 0.21/0.49 TRYING [10]
% 0.21/0.49 % (10142)Instruction limit reached!
% 0.21/0.49 % (10142)------------------------------
% 0.21/0.49 % (10142)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49 % (10142)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49 % (10142)Termination reason: Time limit
% 0.21/0.49 % (10142)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (10142)Memory used [KB]: 3217
% 0.21/0.49 % (10142)Time elapsed: 0.064 s
% 0.21/0.49 % (10142)Instructions burned: 115 (million)
% 0.21/0.50 TRYING [4]
% 0.21/0.50 % (10141)Instruction limit reached!
% 0.21/0.50 % (10141)------------------------------
% 0.21/0.50 % (10141)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50 % (10141)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50 % (10141)Termination reason: Time limit
% 0.21/0.50 % (10141)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (10141)Memory used [KB]: 2365
% 0.21/0.50 % (10141)Time elapsed: 0.087 s
% 0.21/0.50 % (10141)Instructions burned: 148 (million)
% 0.21/0.51 % (10130)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (10166)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.21/0.52 % (10130)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52 % (10167)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.21/0.54 % (10130)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.54 % (10168)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 0.21/0.58 TRYING [5]
% 0.21/0.58 % (10167)Instruction limit reached!
% 0.21/0.58 % (10167)------------------------------
% 0.21/0.58 % (10167)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.58 % (10167)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.58 % (10167)Termination reason: Time limit
% 0.21/0.58 % (10167)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (10167)Memory used [KB]: 3971
% 0.21/0.58 % (10167)Time elapsed: 0.059 s
% 0.21/0.58 % (10167)Instructions burned: 177 (million)
% 1.82/0.62 % (10130)Running in auto input_syntax mode. Trying TPTP
% 1.82/0.62 % (10169)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 2.02/0.63 % (10168)Instruction limit reached!
% 2.02/0.63 % (10168)------------------------------
% 2.02/0.63 % (10168)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.02/0.63 % (10168)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.02/0.63 % (10168)Termination reason: Time limit
% 2.02/0.63 % (10168)Termination phase: Saturation
% 2.02/0.63
% 2.02/0.63 % (10168)Memory used [KB]: 3092
% 2.02/0.63 % (10168)Time elapsed: 0.095 s
% 2.02/0.63 % (10168)Instructions burned: 271 (million)
% 2.02/0.66 % (10166)Instruction limit reached!
% 2.02/0.66 % (10166)------------------------------
% 2.02/0.66 % (10166)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.02/0.66 % (10166)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.02/0.66 % (10166)Termination reason: Time limit
% 2.02/0.66 % (10166)Termination phase: Saturation
% 2.02/0.66
% 2.02/0.66 % (10166)Memory used [KB]: 5290
% 2.02/0.66 % (10166)Time elapsed: 0.144 s
% 2.02/0.66 % (10166)Instructions burned: 405 (million)
% 2.02/0.67 % (10130)Running in auto input_syntax mode. Trying TPTP
% 2.02/0.67 % (10189)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 2.02/0.68 TRYING [1]
% 2.02/0.68 TRYING [2]
% 2.02/0.69 TRYING [3]
% 2.02/0.69 % (10130)Running in auto input_syntax mode. Trying TPTP
% 2.02/0.69 % (10210)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2997ds/2145Mi)
% 2.46/0.71 TRYING [4]
% 2.79/0.78 TRYING [5]
% 2.79/0.79 TRYING [6]
% 3.58/0.96 % (10169)Instruction limit reached!
% 3.58/0.96 % (10169)------------------------------
% 3.58/0.96 % (10169)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.58/0.96 % (10169)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.58/0.96 % (10169)Termination reason: Time limit
% 3.58/0.96 % (10169)Termination phase: Saturation
% 3.58/0.96
% 3.58/0.96 % (10169)Memory used [KB]: 13013
% 3.58/0.96 % (10169)Time elapsed: 0.345 s
% 3.58/0.96 % (10169)Instructions burned: 902 (million)
% 3.58/1.00 % (10130)Running in auto input_syntax mode. Trying TPTP
% 3.58/1.00 % (10269)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2994ds/1187Mi)
% 3.92/1.02 TRYING [6]
% 4.18/1.10 TRYING [23]
% 6.90/1.38 % (10269)Instruction limit reached!
% 6.90/1.38 % (10269)------------------------------
% 6.90/1.38 % (10269)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.90/1.38 % (10269)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.90/1.38 % (10269)Termination reason: Time limit
% 6.90/1.38 % (10269)Termination phase: Saturation
% 6.90/1.38
% 6.90/1.38 % (10269)Memory used [KB]: 12675
% 6.90/1.38 % (10269)Time elapsed: 0.386 s
% 6.90/1.38 % (10269)Instructions burned: 1187 (million)
% 7.35/1.42 % (10130)Running in auto input_syntax mode. Trying TPTP
% 7.35/1.42 % (10270)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2989ds/23580Mi)
% 7.35/1.42 TRYING [7]
% 7.35/1.43 TRYING [1]
% 7.35/1.43 TRYING [2]
% 7.35/1.43 TRYING [3]
% 7.79/1.47 TRYING [4]
% 8.20/1.55 TRYING [5]
% 8.78/1.66 TRYING [7]
% 10.07/1.79 TRYING [6]
% 10.42/1.86 % (10210)Instruction limit reached!
% 10.42/1.86 % (10210)------------------------------
% 10.42/1.86 % (10210)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.42/1.86 % (10210)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.42/1.86 % (10210)Termination reason: Time limit
% 10.42/1.86 % (10210)Termination phase: Saturation
% 10.42/1.86
% 10.42/1.86 % (10210)Memory used [KB]: 24454
% 10.42/1.86 % (10210)Time elapsed: 1.170 s
% 10.42/1.86 % (10210)Instructions burned: 2146 (million)
% 10.93/1.92 % (10130)Running in auto input_syntax mode. Trying TPTP
% 10.93/1.92 % (10271)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2985ds/2892Mi)
% 12.73/2.22 TRYING [17]
% 13.58/2.35 TRYING [7]
% 17.29/2.89 % (10271)Instruction limit reached!
% 17.29/2.89 % (10271)------------------------------
% 17.29/2.89 % (10271)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 17.29/2.89 % (10271)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 17.29/2.89 % (10271)Termination reason: Time limit
% 17.29/2.89 % (10271)Termination phase: Finite model building constraint generation
% 17.29/2.89
% 17.29/2.89 % (10271)Memory used [KB]: 157216
% 17.29/2.89 % (10271)Time elapsed: 0.968 s
% 17.29/2.89 % (10271)Instructions burned: 2892 (million)
% 17.84/2.99 TRYING [8]
% 18.49/2.99 % (10130)Running in auto input_syntax mode. Trying TPTP
% 18.49/2.99 % (10272)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2974ds/1693Mi)
% 18.54/3.04 TRYING [8]
% 20.32/3.30 % (10189)Instruction limit reached!
% 20.32/3.30 % (10189)------------------------------
% 20.32/3.30 % (10189)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 20.32/3.30 % (10189)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 20.32/3.30 % (10189)Termination reason: Time limit
% 20.32/3.30 % (10189)Termination phase: Finite model building constraint generation
% 20.32/3.30
% 20.32/3.30 % (10189)Memory used [KB]: 27735
% 20.32/3.30 % (10189)Time elapsed: 2.646 s
% 20.32/3.30 % (10189)Instructions burned: 7859 (million)
% 20.78/3.37 % (10130)Running in auto input_syntax mode. Trying TPTP
% 20.78/3.37 % (10273)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2970ds/1735Mi)
% 23.16/3.81 TRYING [8]
% 23.75/3.88 % (10272)Instruction limit reached!
% 23.75/3.88 % (10272)------------------------------
% 23.75/3.88 % (10272)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 23.75/3.88 % (10272)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 23.75/3.88 % (10272)Termination reason: Time limit
% 23.75/3.88 % (10272)Termination phase: Saturation
% 23.75/3.88
% 23.75/3.88 % (10272)Memory used [KB]: 14463
% 23.75/3.88 % (10272)Time elapsed: 0.883 s
% 23.75/3.88 % (10272)Instructions burned: 1693 (million)
% 24.26/3.94 % (10130)Running in auto input_syntax mode. Trying TPTP
% 24.26/3.94 % (10274)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2964ds/131798Mi)
% 24.26/3.95 TRYING [4]
% 25.75/4.05 TRYING [5]
% 26.85/4.23 % (10273)Instruction limit reached!
% 26.85/4.23 % (10273)------------------------------
% 26.85/4.23 % (10273)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 26.85/4.23 % (10273)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 26.85/4.23 % (10273)Termination reason: Time limit
% 26.85/4.23 % (10273)Termination phase: Saturation
% 26.85/4.23
% 26.85/4.23 % (10273)Memory used [KB]: 15673
% 26.85/4.23 % (10273)Time elapsed: 0.859 s
% 26.85/4.23 % (10273)Instructions burned: 1737 (million)
% 27.53/4.29 % (10130)Running in auto input_syntax mode. Trying TPTP
% 27.53/4.29 % (10275)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2961ds/3451Mi)
% 27.69/4.31 TRYING [6]
% 29.79/4.63 TRYING [16]
% 32.08/4.93 TRYING [7]
% 35.11/5.42 % (10275)Instruction limit reached!
% 35.11/5.42 % (10275)------------------------------
% 35.11/5.42 % (10275)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 35.11/5.42 % (10275)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 35.11/5.42 % (10275)Termination reason: Time limit
% 35.11/5.42 % (10275)Termination phase: Finite model building constraint generation
% 35.11/5.42
% 35.11/5.42 % (10275)Memory used [KB]: 186849
% 35.11/5.42 % (10275)Time elapsed: 1.133 s
% 35.11/5.42 % (10275)Instructions burned: 3453 (million)
% 35.99/5.50 % (10130)Running in auto input_syntax mode. Trying TPTP
% 35.99/5.50 % (10276)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2949ds/3978Mi)
% 38.96/5.94 TRYING [9]
% 41.06/6.24 TRYING [8]
% 47.90/7.27 TRYING [9]
% 48.64/7.36 TRYING [11]
% 50.01/7.56 % (10276)Instruction limit reached!
% 50.01/7.56 % (10276)------------------------------
% 50.01/7.56 % (10276)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 50.01/7.56 % (10276)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 50.01/7.56 % (10276)Termination reason: Time limit
% 50.01/7.56 % (10276)Termination phase: Saturation
% 50.01/7.56
% 50.01/7.56 % (10276)Memory used [KB]: 37752
% 50.01/7.56 % (10276)Time elapsed: 2.061 s
% 50.01/7.56 % (10276)Instructions burned: 3978 (million)
% 50.85/7.63 % (10130)Running in auto input_syntax mode. Trying TPTP
% 50.85/7.63 % (10277)dis+35_1:64_to=lpo:sil=32000:sp=occurrence:urr=on:sac=on:i=33091:fsr=off_0 on theBenchmark for (2927ds/33091Mi)
% 59.34/8.86 TRYING [9]
% 61.42/9.15 % (10270)Instruction limit reached!
% 61.42/9.15 % (10270)------------------------------
% 61.42/9.15 % (10270)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 61.42/9.15 % (10270)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 61.42/9.15 % (10270)Termination reason: Time limit
% 61.42/9.15 % (10270)Termination phase: Finite model building SAT solving
% 61.42/9.15
% 61.42/9.15 % (10270)Memory used [KB]: 90769
% 61.42/9.15 % (10270)Time elapsed: 7.728 s
% 61.42/9.15 % (10270)Instructions burned: 23583 (million)
% 61.42/9.22 % (10130)Running in auto input_syntax mode. Trying TPTP
% 61.42/9.22 % (10278)dis-4_1:1_sil=16000:sp=const_frequency:sac=on:newcnf=on:i=9564_0 on theBenchmark for (2912ds/9564Mi)
% 65.03/9.67 % (10278)First to succeed.
% 65.03/9.67 % (10278)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10130"
% 65.03/9.68 % (10130)Running in auto input_syntax mode. Trying TPTP
% 65.03/9.68 % (10278)Refutation found. Thanks to Tanya!
% 65.03/9.68 % SZS status Theorem for theBenchmark
% 65.03/9.68 % SZS output start Proof for theBenchmark
% See solution above
% 65.03/9.68 % (10278)------------------------------
% 65.03/9.68 % (10278)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 65.03/9.68 % (10278)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 65.03/9.68 % (10278)Termination reason: Refutation
% 65.03/9.68
% 65.03/9.68 % (10278)Memory used [KB]: 8083
% 65.03/9.68 % (10278)Time elapsed: 0.490 s
% 65.03/9.68 % (10278)Instructions burned: 980 (million)
% 65.03/9.68 % (10278)------------------------------
% 65.03/9.68 % (10278)------------------------------
% 65.03/9.68 % (10130)Success in time 9.303 s
%------------------------------------------------------------------------------