TSTP Solution File: SWC052+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC052+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:38:26 EDT 2022
% Result : Theorem 1.96s 0.69s
% Output : Refutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 25
% Syntax : Number of formulae : 126 ( 9 unt; 0 def)
% Number of atoms : 652 ( 124 equ)
% Maximal formula atoms : 40 ( 5 avg)
% Number of connectives : 873 ( 347 ~; 328 |; 154 &)
% ( 17 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 12 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 131 ( 93 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1681,plain,
$false,
inference(avatar_sat_refutation,[],[f277,f282,f287,f292,f297,f302,f307,f308,f309,f335,f753,f811,f1680]) ).
fof(f1680,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_18
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f1679]) ).
fof(f1679,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_18
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f1678,f1588]) ).
fof(f1588,plain,
( segmentP(sK9,sK11)
| ~ spl12_2
| ~ spl12_7
| ~ spl12_9
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f1583,f727]) ).
fof(f727,plain,
( ssList(sK6(sK9,sK11))
| ~ spl12_22 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f726,plain,
( spl12_22
<=> ssList(sK6(sK9,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).
fof(f1583,plain,
( ~ ssList(sK6(sK9,sK11))
| segmentP(sK9,sK11)
| ~ spl12_2
| ~ spl12_7
| ~ spl12_9 ),
inference(superposition,[],[f1003,f508]) ).
fof(f508,plain,
( sK9 = app(sK11,sK6(sK9,sK11))
| ~ spl12_7
| ~ spl12_9 ),
inference(subsumption_resolution,[],[f507,f221]) ).
fof(f221,plain,
ssList(sK9),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ssList(sK9)
& sK8 = sK10
& ( ( nil = sK8
& nil != sK7 )
| ( neq(sK8,nil)
& ! [X4] :
( ~ segmentP(sK8,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK7,X4) ) ) )
& ssList(sK10)
& ( nil != sK10
| nil = sK9 )
& ( ( frontsegP(sK10,sK11)
& frontsegP(sK9,sK11)
& neq(sK11,nil)
& ssList(sK11) )
| ~ neq(sK10,nil) )
& sK7 = sK9
& ssList(sK8)
& ssList(sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10,sK11])],[f110,f166,f165,f164,f163,f162]) ).
fof(f162,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ! [X4] :
( ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(X0,X4) ) ) )
& ssList(X3)
& ( nil != X3
| nil = X2 )
& ( ? [X5] :
( frontsegP(X3,X5)
& frontsegP(X2,X5)
& neq(X5,nil)
& ssList(X5) )
| ~ neq(X3,nil) )
& X0 = X2 ) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ( ( nil = X1
& nil != sK7 )
| ( neq(X1,nil)
& ! [X4] :
( ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK7,X4) ) ) )
& ssList(X3)
& ( nil != X3
| nil = X2 )
& ( ? [X5] :
( frontsegP(X3,X5)
& frontsegP(X2,X5)
& neq(X5,nil)
& ssList(X5) )
| ~ neq(X3,nil) )
& sK7 = X2 ) )
& ssList(X1) )
& ssList(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ( ( nil = X1
& nil != sK7 )
| ( neq(X1,nil)
& ! [X4] :
( ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK7,X4) ) ) )
& ssList(X3)
& ( nil != X3
| nil = X2 )
& ( ? [X5] :
( frontsegP(X3,X5)
& frontsegP(X2,X5)
& neq(X5,nil)
& ssList(X5) )
| ~ neq(X3,nil) )
& sK7 = X2 ) )
& ssList(X1) )
=> ( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK8 = X3
& ( ( nil = sK8
& nil != sK7 )
| ( neq(sK8,nil)
& ! [X4] :
( ~ segmentP(sK8,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK7,X4) ) ) )
& ssList(X3)
& ( nil != X3
| nil = X2 )
& ( ? [X5] :
( frontsegP(X3,X5)
& frontsegP(X2,X5)
& neq(X5,nil)
& ssList(X5) )
| ~ neq(X3,nil) )
& sK7 = X2 ) )
& ssList(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK8 = X3
& ( ( nil = sK8
& nil != sK7 )
| ( neq(sK8,nil)
& ! [X4] :
( ~ segmentP(sK8,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK7,X4) ) ) )
& ssList(X3)
& ( nil != X3
| nil = X2 )
& ( ? [X5] :
( frontsegP(X3,X5)
& frontsegP(X2,X5)
& neq(X5,nil)
& ssList(X5) )
| ~ neq(X3,nil) )
& sK7 = X2 ) )
=> ( ssList(sK9)
& ? [X3] :
( sK8 = X3
& ( ( nil = sK8
& nil != sK7 )
| ( neq(sK8,nil)
& ! [X4] :
( ~ segmentP(sK8,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK7,X4) ) ) )
& ssList(X3)
& ( nil != X3
| nil = sK9 )
& ( ? [X5] :
( frontsegP(X3,X5)
& frontsegP(sK9,X5)
& neq(X5,nil)
& ssList(X5) )
| ~ neq(X3,nil) )
& sK7 = sK9 ) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
( ? [X3] :
( sK8 = X3
& ( ( nil = sK8
& nil != sK7 )
| ( neq(sK8,nil)
& ! [X4] :
( ~ segmentP(sK8,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK7,X4) ) ) )
& ssList(X3)
& ( nil != X3
| nil = sK9 )
& ( ? [X5] :
( frontsegP(X3,X5)
& frontsegP(sK9,X5)
& neq(X5,nil)
& ssList(X5) )
| ~ neq(X3,nil) )
& sK7 = sK9 )
=> ( sK8 = sK10
& ( ( nil = sK8
& nil != sK7 )
| ( neq(sK8,nil)
& ! [X4] :
( ~ segmentP(sK8,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK7,X4) ) ) )
& ssList(sK10)
& ( nil != sK10
| nil = sK9 )
& ( ? [X5] :
( frontsegP(sK10,X5)
& frontsegP(sK9,X5)
& neq(X5,nil)
& ssList(X5) )
| ~ neq(sK10,nil) )
& sK7 = sK9 ) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
( ? [X5] :
( frontsegP(sK10,X5)
& frontsegP(sK9,X5)
& neq(X5,nil)
& ssList(X5) )
=> ( frontsegP(sK10,sK11)
& frontsegP(sK9,sK11)
& neq(sK11,nil)
& ssList(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ! [X4] :
( ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(X0,X4) ) ) )
& ssList(X3)
& ( nil != X3
| nil = X2 )
& ( ? [X5] :
( frontsegP(X3,X5)
& frontsegP(X2,X5)
& neq(X5,nil)
& ssList(X5) )
| ~ neq(X3,nil) )
& X0 = X2 ) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ? [X4] :
( ssList(X4)
& segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil) ) ) )
| X1 != X3
| ( neq(X3,nil)
& ! [X5] :
( ~ neq(X5,nil)
| ~ frontsegP(X2,X5)
| ~ frontsegP(X3,X5)
| ~ ssList(X5) ) )
| X0 != X2
| ( nil != X2
& nil = X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( X1 != X3
| X0 != X2
| ~ ssList(X3)
| ( ( ? [X5] :
( segmentP(X1,X5)
& neq(X5,nil)
& ssList(X5)
& segmentP(X0,X5) )
| ~ neq(X1,nil) )
& ( nil != X1
| nil = X0 ) )
| ( nil != X2
& nil = X3 )
| ( neq(X3,nil)
& ! [X4] :
( ~ frontsegP(X2,X4)
| ~ neq(X4,nil)
| ~ frontsegP(X3,X4)
| ~ ssList(X4) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( X1 != X3
| X0 != X2
| ~ ssList(X3)
| ( ( ? [X5] :
( segmentP(X1,X5)
& neq(X5,nil)
& ssList(X5)
& segmentP(X0,X5) )
| ~ neq(X1,nil) )
& ( nil != X1
| nil = X0 ) )
| ( nil != X2
& nil = X3 )
| ( neq(X3,nil)
& ! [X4] :
( ~ frontsegP(X2,X4)
| ~ neq(X4,nil)
| ~ frontsegP(X3,X4)
| ~ ssList(X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f507,plain,
( sK9 = app(sK11,sK6(sK9,sK11))
| ~ ssList(sK9)
| ~ spl12_7
| ~ spl12_9 ),
inference(subsumption_resolution,[],[f502,f296]) ).
fof(f296,plain,
( ssList(sK11)
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f294,plain,
( spl12_9
<=> ssList(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f502,plain,
( ~ ssList(sK11)
| ~ ssList(sK9)
| sK9 = app(sK11,sK6(sK9,sK11))
| ~ spl12_7 ),
inference(resolution,[],[f193,f286]) ).
fof(f286,plain,
( frontsegP(sK9,sK11)
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f284,plain,
( spl12_7
<=> frontsegP(sK9,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f193,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| app(X1,sK6(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ( app(X1,sK6(X0,X1)) = X0
& ssList(sK6(X0,X1)) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f156,f157]) ).
fof(f157,plain,
! [X0,X1] :
( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
=> ( app(X1,sK6(X0,X1)) = X0
& ssList(sK6(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) ) ),
inference(rectify,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ? [X2] :
( app(X1,X2) = X0
& ssList(X2) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) ) ),
inference(nnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) )
| ~ ssList(X1) ) ),
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',ax5) ).
fof(f1003,plain,
( ! [X10] :
( segmentP(app(sK11,X10),sK11)
| ~ ssList(X10) )
| ~ spl12_2
| ~ spl12_9 ),
inference(subsumption_resolution,[],[f1002,f261]) ).
fof(f261,plain,
( ssList(nil)
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl12_2
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f1002,plain,
( ! [X10] :
( ~ ssList(nil)
| segmentP(app(sK11,X10),sK11)
| ~ ssList(X10) )
| ~ spl12_9 ),
inference(subsumption_resolution,[],[f990,f296]) ).
fof(f990,plain,
( ! [X10] :
( segmentP(app(sK11,X10),sK11)
| ~ ssList(X10)
| ~ ssList(sK11)
| ~ ssList(nil) )
| ~ spl12_9 ),
inference(superposition,[],[f665,f318]) ).
fof(f318,plain,
( sK11 = app(nil,sK11)
| ~ spl12_9 ),
inference(resolution,[],[f227,f296]) ).
fof(f227,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f665,plain,
! [X6,X7,X5] :
( segmentP(app(app(X7,X6),X5),X6)
| ~ ssList(X5)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(duplicate_literal_removal,[],[f663]) ).
fof(f663,plain,
! [X6,X7,X5] :
( ~ ssList(X5)
| ~ ssList(X7)
| ~ ssList(X6)
| ~ ssList(X6)
| segmentP(app(app(X7,X6),X5),X6)
| ~ ssList(X6) ),
inference(resolution,[],[f224,f182]) ).
fof(f182,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f224,plain,
! [X2,X3,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(app(X2,X0),X3),X1)
| ~ ssList(X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ segmentP(X0,X1)
| ~ ssList(X3)
| segmentP(app(app(X2,X0),X3),X1) ) )
| ~ ssList(X1) ) ),
inference(flattening,[],[f113]) ).
fof(f113,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',ax56) ).
fof(f1678,plain,
( ~ segmentP(sK9,sK11)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_18 ),
inference(subsumption_resolution,[],[f1677,f296]) ).
fof(f1677,plain,
( ~ ssList(sK11)
| ~ segmentP(sK9,sK11)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_18 ),
inference(subsumption_resolution,[],[f1675,f272]) ).
fof(f272,plain,
( neq(sK11,nil)
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f270,plain,
( spl12_4
<=> neq(sK11,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f1675,plain,
( ~ neq(sK11,nil)
| ~ ssList(sK11)
| ~ segmentP(sK9,sK11)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_18 ),
inference(resolution,[],[f1587,f300]) ).
fof(f300,plain,
( ! [X4] :
( ~ segmentP(sK10,X4)
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(sK9,X4) )
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f299,plain,
( spl12_10
<=> ! [X4] :
( ~ segmentP(sK10,X4)
| ~ segmentP(sK9,X4)
| ~ ssList(X4)
| ~ neq(X4,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f1587,plain,
( segmentP(sK10,sK11)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_9
| ~ spl12_18 ),
inference(subsumption_resolution,[],[f1584,f704]) ).
fof(f704,plain,
( ssList(sK6(sK10,sK11))
| ~ spl12_18 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f703,plain,
( spl12_18
<=> ssList(sK6(sK10,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).
fof(f1584,plain,
( ~ ssList(sK6(sK10,sK11))
| segmentP(sK10,sK11)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_9 ),
inference(superposition,[],[f1003,f510]) ).
fof(f510,plain,
( app(sK11,sK6(sK10,sK11)) = sK10
| ~ spl12_6
| ~ spl12_9 ),
inference(subsumption_resolution,[],[f509,f296]) ).
fof(f509,plain,
( app(sK11,sK6(sK10,sK11)) = sK10
| ~ ssList(sK11)
| ~ spl12_6 ),
inference(subsumption_resolution,[],[f501,f240]) ).
fof(f240,plain,
ssList(sK10),
inference(definition_unfolding,[],[f208,f220]) ).
fof(f220,plain,
sK8 = sK10,
inference(cnf_transformation,[],[f167]) ).
fof(f208,plain,
ssList(sK8),
inference(cnf_transformation,[],[f167]) ).
fof(f501,plain,
( app(sK11,sK6(sK10,sK11)) = sK10
| ~ ssList(sK10)
| ~ ssList(sK11)
| ~ spl12_6 ),
inference(resolution,[],[f193,f281]) ).
fof(f281,plain,
( frontsegP(sK10,sK11)
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl12_6
<=> frontsegP(sK10,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f811,plain,
( ~ spl12_7
| ~ spl12_9
| spl12_22 ),
inference(avatar_contradiction_clause,[],[f810]) ).
fof(f810,plain,
( $false
| ~ spl12_7
| ~ spl12_9
| spl12_22 ),
inference(subsumption_resolution,[],[f809,f221]) ).
fof(f809,plain,
( ~ ssList(sK9)
| ~ spl12_7
| ~ spl12_9
| spl12_22 ),
inference(subsumption_resolution,[],[f808,f296]) ).
fof(f808,plain,
( ~ ssList(sK11)
| ~ ssList(sK9)
| ~ spl12_7
| spl12_22 ),
inference(subsumption_resolution,[],[f807,f286]) ).
fof(f807,plain,
( ~ frontsegP(sK9,sK11)
| ~ ssList(sK11)
| ~ ssList(sK9)
| spl12_22 ),
inference(resolution,[],[f728,f192]) ).
fof(f192,plain,
! [X0,X1] :
( ssList(sK6(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f728,plain,
( ~ ssList(sK6(sK9,sK11))
| spl12_22 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f753,plain,
( ~ spl12_6
| ~ spl12_9
| spl12_18 ),
inference(avatar_contradiction_clause,[],[f752]) ).
fof(f752,plain,
( $false
| ~ spl12_6
| ~ spl12_9
| spl12_18 ),
inference(subsumption_resolution,[],[f751,f296]) ).
fof(f751,plain,
( ~ ssList(sK11)
| ~ spl12_6
| spl12_18 ),
inference(subsumption_resolution,[],[f750,f281]) ).
fof(f750,plain,
( ~ frontsegP(sK10,sK11)
| ~ ssList(sK11)
| spl12_18 ),
inference(subsumption_resolution,[],[f749,f240]) ).
fof(f749,plain,
( ~ ssList(sK10)
| ~ ssList(sK11)
| ~ frontsegP(sK10,sK11)
| spl12_18 ),
inference(resolution,[],[f705,f192]) ).
fof(f705,plain,
( ~ ssList(sK6(sK10,sK11))
| spl12_18 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f335,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9 ),
inference(avatar_contradiction_clause,[],[f334]) ).
fof(f334,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9 ),
inference(subsumption_resolution,[],[f333,f261]) ).
fof(f333,plain,
( ~ ssList(nil)
| ~ spl12_4
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9 ),
inference(resolution,[],[f330,f251]) ).
fof(f251,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f245]) ).
fof(f245,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f189]) ).
fof(f189,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f330,plain,
( neq(nil,nil)
| ~ spl12_4
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9 ),
inference(backward_demodulation,[],[f272,f325]) ).
fof(f325,plain,
( nil = sK11
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9 ),
inference(subsumption_resolution,[],[f320,f296]) ).
fof(f320,plain,
( nil = sK11
| ~ ssList(sK11)
| ~ spl12_7
| ~ spl12_8 ),
inference(resolution,[],[f198,f312]) ).
fof(f312,plain,
( frontsegP(nil,sK11)
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f286,f290]) ).
fof(f290,plain,
( nil = sK9
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl12_8
<=> nil = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f198,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ( ( nil = X0
| ~ frontsegP(nil,X0) )
& ( frontsegP(nil,X0)
| nil != X0 ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ( nil = X0
<=> frontsegP(nil,X0) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
<=> frontsegP(nil,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
fof(f309,plain,
( spl12_5
| spl12_11 ),
inference(avatar_split_clause,[],[f236,f304,f274]) ).
fof(f274,plain,
( spl12_5
<=> neq(sK10,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f304,plain,
( spl12_11
<=> nil = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f236,plain,
( nil = sK10
| neq(sK10,nil) ),
inference(definition_unfolding,[],[f219,f220,f220]) ).
fof(f219,plain,
( nil = sK8
| neq(sK8,nil) ),
inference(cnf_transformation,[],[f167]) ).
fof(f308,plain,
( spl12_8
| ~ spl12_11 ),
inference(avatar_split_clause,[],[f214,f304,f289]) ).
fof(f214,plain,
( nil != sK10
| nil = sK9 ),
inference(cnf_transformation,[],[f167]) ).
fof(f307,plain,
( spl12_10
| spl12_11 ),
inference(avatar_split_clause,[],[f237,f304,f299]) ).
fof(f237,plain,
! [X4] :
( nil = sK10
| ~ segmentP(sK10,X4)
| ~ segmentP(sK9,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f218,f220,f220,f209]) ).
fof(f209,plain,
sK7 = sK9,
inference(cnf_transformation,[],[f167]) ).
fof(f218,plain,
! [X4] :
( nil = sK8
| ~ segmentP(sK8,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK7,X4) ),
inference(cnf_transformation,[],[f167]) ).
fof(f302,plain,
spl12_2,
inference(avatar_split_clause,[],[f181,f260]) ).
fof(f181,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f297,plain,
( spl12_9
| ~ spl12_5 ),
inference(avatar_split_clause,[],[f210,f274,f294]) ).
fof(f210,plain,
( ~ neq(sK10,nil)
| ssList(sK11) ),
inference(cnf_transformation,[],[f167]) ).
fof(f292,plain,
( ~ spl12_8
| spl12_5 ),
inference(avatar_split_clause,[],[f238,f274,f289]) ).
fof(f238,plain,
( neq(sK10,nil)
| nil != sK9 ),
inference(definition_unfolding,[],[f217,f209,f220]) ).
fof(f217,plain,
( nil != sK7
| neq(sK8,nil) ),
inference(cnf_transformation,[],[f167]) ).
fof(f287,plain,
( ~ spl12_5
| spl12_7 ),
inference(avatar_split_clause,[],[f212,f284,f274]) ).
fof(f212,plain,
( frontsegP(sK9,sK11)
| ~ neq(sK10,nil) ),
inference(cnf_transformation,[],[f167]) ).
fof(f282,plain,
( spl12_6
| ~ spl12_5 ),
inference(avatar_split_clause,[],[f213,f274,f279]) ).
fof(f213,plain,
( ~ neq(sK10,nil)
| frontsegP(sK10,sK11) ),
inference(cnf_transformation,[],[f167]) ).
fof(f277,plain,
( spl12_4
| ~ spl12_5 ),
inference(avatar_split_clause,[],[f211,f274,f270]) ).
fof(f211,plain,
( ~ neq(sK10,nil)
| neq(sK11,nil) ),
inference(cnf_transformation,[],[f167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC052+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 18:25:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (30597)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.49 % (30590)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (30580)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.52 % (30578)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.28/0.52 % (30579)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.28/0.52 % (30579)Instruction limit reached!
% 1.28/0.52 % (30579)------------------------------
% 1.28/0.52 % (30579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (30579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (30579)Termination reason: Unknown
% 1.28/0.52 % (30579)Termination phase: Preprocessing 3
% 1.28/0.52
% 1.28/0.52 % (30579)Memory used [KB]: 1663
% 1.28/0.52 % (30579)Time elapsed: 0.004 s
% 1.28/0.52 % (30579)Instructions burned: 4 (million)
% 1.28/0.52 % (30579)------------------------------
% 1.28/0.52 % (30579)------------------------------
% 1.28/0.52 % (30581)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.28/0.53 % (30594)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.28/0.53 % (30591)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.28/0.53 % (30606)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.28/0.53 % (30594)Instruction limit reached!
% 1.28/0.53 % (30594)------------------------------
% 1.28/0.53 % (30594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (30594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (30594)Termination reason: Unknown
% 1.28/0.53 % (30594)Termination phase: Preprocessing 3
% 1.28/0.53
% 1.28/0.53 % (30594)Memory used [KB]: 1663
% 1.28/0.53 % (30594)Time elapsed: 0.003 s
% 1.28/0.53 % (30594)Instructions burned: 4 (million)
% 1.28/0.53 % (30594)------------------------------
% 1.28/0.53 % (30594)------------------------------
% 1.28/0.53 % (30591)Instruction limit reached!
% 1.28/0.53 % (30591)------------------------------
% 1.28/0.53 % (30591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (30591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (30591)Termination reason: Unknown
% 1.28/0.53 % (30591)Termination phase: Preprocessing 3
% 1.28/0.53
% 1.28/0.53 % (30591)Memory used [KB]: 1663
% 1.28/0.53 % (30591)Time elapsed: 0.003 s
% 1.28/0.53 % (30591)Instructions burned: 4 (million)
% 1.28/0.53 % (30591)------------------------------
% 1.28/0.53 % (30591)------------------------------
% 1.28/0.53 % (30582)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.28/0.53 % (30586)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.28/0.53 % (30601)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.28/0.53 % (30583)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.28/0.53 % (30602)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.28/0.53 % (30595)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.28/0.53 % (30595)Instruction limit reached!
% 1.28/0.53 % (30595)------------------------------
% 1.28/0.53 % (30595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (30595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (30595)Termination reason: Unknown
% 1.28/0.53 % (30595)Termination phase: Preprocessing 1
% 1.28/0.53
% 1.28/0.53 % (30595)Memory used [KB]: 1407
% 1.28/0.53 % (30595)Time elapsed: 0.002 s
% 1.28/0.53 % (30595)Instructions burned: 2 (million)
% 1.28/0.53 % (30595)------------------------------
% 1.28/0.53 % (30595)------------------------------
% 1.28/0.53 % (30603)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.46/0.54 % (30599)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.46/0.54 % (30605)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.46/0.54 % (30604)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.46/0.54 % (30593)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.46/0.54 % (30577)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.46/0.54 % (30605)Instruction limit reached!
% 1.46/0.54 % (30605)------------------------------
% 1.46/0.54 % (30605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.54 % (30605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.54 % (30605)Termination reason: Unknown
% 1.46/0.54 % (30605)Termination phase: Equality resolution with deletion
% 1.46/0.54
% 1.46/0.54 % (30605)Memory used [KB]: 1791
% 1.46/0.54 % (30605)Time elapsed: 0.006 s
% 1.46/0.54 % (30605)Instructions burned: 8 (million)
% 1.46/0.54 % (30605)------------------------------
% 1.46/0.54 % (30605)------------------------------
% 1.46/0.54 % (30587)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.46/0.54 % (30589)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.46/0.54 % (30588)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.46/0.55 % (30598)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.46/0.55 % (30588)Instruction limit reached!
% 1.46/0.55 % (30588)------------------------------
% 1.46/0.55 % (30588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55 % (30596)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.46/0.55 % (30578)Instruction limit reached!
% 1.46/0.55 % (30578)------------------------------
% 1.46/0.55 % (30578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55 % (30578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.55 % (30578)Termination reason: Unknown
% 1.46/0.55 % (30578)Termination phase: Saturation
% 1.46/0.55
% 1.46/0.55 % (30578)Memory used [KB]: 6268
% 1.46/0.55 % (30578)Time elapsed: 0.148 s
% 1.46/0.55 % (30578)Instructions burned: 14 (million)
% 1.46/0.55 % (30584)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.46/0.55 % (30578)------------------------------
% 1.46/0.55 % (30578)------------------------------
% 1.46/0.55 % (30597)Instruction limit reached!
% 1.46/0.55 % (30597)------------------------------
% 1.46/0.55 % (30597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55 % (30587)Instruction limit reached!
% 1.46/0.55 % (30587)------------------------------
% 1.46/0.55 % (30587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55 % (30587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.55 % (30587)Termination reason: Unknown
% 1.46/0.55 % (30587)Termination phase: Saturation
% 1.46/0.55
% 1.46/0.55 % (30587)Memory used [KB]: 6268
% 1.46/0.55 % (30587)Time elapsed: 0.154 s
% 1.46/0.55 % (30587)Instructions burned: 13 (million)
% 1.46/0.55 % (30587)------------------------------
% 1.46/0.55 % (30587)------------------------------
% 1.46/0.55 % (30597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.55 % (30597)Termination reason: Unknown
% 1.46/0.55 % (30597)Termination phase: Saturation
% 1.46/0.55
% 1.46/0.55 % (30597)Memory used [KB]: 6652
% 1.46/0.55 % (30597)Time elapsed: 0.138 s
% 1.46/0.55 % (30597)Instructions burned: 31 (million)
% 1.46/0.55 % (30597)------------------------------
% 1.46/0.55 % (30597)------------------------------
% 1.46/0.55 % (30600)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.46/0.55 % (30581)Instruction limit reached!
% 1.46/0.55 % (30581)------------------------------
% 1.46/0.55 % (30581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55 % (30581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.55 % (30581)Termination reason: Unknown
% 1.46/0.55 % (30581)Termination phase: Saturation
% 1.46/0.55
% 1.46/0.55 % (30581)Memory used [KB]: 6268
% 1.46/0.55 % (30581)Time elapsed: 0.127 s
% 1.46/0.55 % (30581)Instructions burned: 14 (million)
% 1.46/0.55 % (30581)------------------------------
% 1.46/0.55 % (30581)------------------------------
% 1.46/0.55 % (30585)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.46/0.55 % (30596)Instruction limit reached!
% 1.46/0.55 % (30596)------------------------------
% 1.46/0.55 % (30596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55 % (30596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.55 % (30596)Termination reason: Unknown
% 1.46/0.55 % (30596)Termination phase: Saturation
% 1.46/0.55
% 1.46/0.55 % (30596)Memory used [KB]: 6268
% 1.46/0.55 % (30596)Time elapsed: 0.148 s
% 1.46/0.55 % (30596)Instructions burned: 12 (million)
% 1.46/0.55 % (30596)------------------------------
% 1.46/0.55 % (30596)------------------------------
% 1.46/0.56 % (30588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56 % (30588)Termination reason: Unknown
% 1.46/0.56 % (30588)Termination phase: Saturation
% 1.46/0.56
% 1.46/0.56 % (30588)Memory used [KB]: 6140
% 1.46/0.56 % (30588)Time elapsed: 0.147 s
% 1.46/0.56 % (30588)Instructions burned: 7 (million)
% 1.46/0.56 % (30588)------------------------------
% 1.46/0.56 % (30588)------------------------------
% 1.46/0.56 % (30592)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.46/0.56 % (30606)Instruction limit reached!
% 1.46/0.56 % (30606)------------------------------
% 1.46/0.56 % (30606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56 % (30592)Instruction limit reached!
% 1.46/0.56 % (30592)------------------------------
% 1.46/0.56 % (30592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56 % (30592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56 % (30592)Termination reason: Unknown
% 1.46/0.56 % (30606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56 % (30592)Termination phase: Property scanning
% 1.46/0.56 % (30606)Termination reason: Unknown
% 1.46/0.56
% 1.46/0.56 % (30606)Termination phase: Saturation
% 1.46/0.56
% 1.46/0.56 % (30592)Memory used [KB]: 1791
% 1.46/0.56 % (30592)Time elapsed: 0.004 s
% 1.46/0.56 % (30606)Memory used [KB]: 6396
% 1.46/0.56 % (30592)Instructions burned: 7 (million)
% 1.46/0.56 % (30606)Time elapsed: 0.152 s
% 1.46/0.56 % (30592)------------------------------
% 1.46/0.56 % (30592)------------------------------
% 1.46/0.56 % (30606)Instructions burned: 26 (million)
% 1.46/0.56 % (30606)------------------------------
% 1.46/0.56 % (30606)------------------------------
% 1.46/0.56 % (30590)Instruction limit reached!
% 1.46/0.56 % (30590)------------------------------
% 1.46/0.56 % (30590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56 % (30590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56 % (30590)Termination reason: Unknown
% 1.46/0.56 % (30590)Termination phase: Saturation
% 1.46/0.56
% 1.46/0.56 % (30590)Memory used [KB]: 7547
% 1.46/0.56 % (30590)Time elapsed: 0.142 s
% 1.46/0.56 % (30590)Instructions burned: 51 (million)
% 1.46/0.56 % (30590)------------------------------
% 1.46/0.56 % (30590)------------------------------
% 1.46/0.56 % (30582)Instruction limit reached!
% 1.46/0.56 % (30582)------------------------------
% 1.46/0.56 % (30582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56 % (30582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56 % (30582)Termination reason: Unknown
% 1.46/0.56 % (30582)Termination phase: Saturation
% 1.46/0.56
% 1.46/0.56 % (30582)Memory used [KB]: 1791
% 1.46/0.56 % (30582)Time elapsed: 0.161 s
% 1.46/0.56 % (30582)Instructions burned: 16 (million)
% 1.46/0.56 % (30582)------------------------------
% 1.46/0.56 % (30582)------------------------------
% 1.46/0.57 % (30589)Instruction limit reached!
% 1.46/0.57 % (30589)------------------------------
% 1.46/0.57 % (30589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.57 % (30589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.57 % (30589)Termination reason: Unknown
% 1.46/0.57 % (30589)Termination phase: Saturation
% 1.46/0.57
% 1.46/0.57 % (30589)Memory used [KB]: 2046
% 1.46/0.57 % (30589)Time elapsed: 0.169 s
% 1.46/0.57 % (30589)Instructions burned: 17 (million)
% 1.46/0.57 % (30589)------------------------------
% 1.46/0.57 % (30589)------------------------------
% 1.46/0.57 % (30604)Instruction limit reached!
% 1.46/0.57 % (30604)------------------------------
% 1.46/0.57 % (30604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.57 % (30604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.57 % (30604)Termination reason: Unknown
% 1.46/0.57 % (30604)Termination phase: Saturation
% 1.46/0.57
% 1.46/0.57 % (30604)Memory used [KB]: 6652
% 1.46/0.57 % (30604)Time elapsed: 0.177 s
% 1.46/0.57 % (30604)Instructions burned: 25 (million)
% 1.46/0.57 % (30604)------------------------------
% 1.46/0.57 % (30604)------------------------------
% 1.46/0.60 % (30586)Instruction limit reached!
% 1.46/0.60 % (30586)------------------------------
% 1.46/0.60 % (30586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.60 % (30586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.60 % (30586)Termination reason: Unknown
% 1.46/0.60 % (30586)Termination phase: Saturation
% 1.46/0.60
% 1.46/0.60 % (30586)Memory used [KB]: 6652
% 1.46/0.60 % (30586)Time elapsed: 0.198 s
% 1.46/0.60 % (30586)Instructions burned: 33 (million)
% 1.46/0.60 % (30586)------------------------------
% 1.46/0.60 % (30586)------------------------------
% 1.46/0.61 % (30580)Instruction limit reached!
% 1.46/0.61 % (30580)------------------------------
% 1.46/0.61 % (30580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.61 % (30580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.61 % (30580)Termination reason: Unknown
% 1.46/0.61 % (30580)Termination phase: Saturation
% 1.46/0.61
% 1.46/0.61 % (30580)Memory used [KB]: 7291
% 1.46/0.61 % (30580)Time elapsed: 0.195 s
% 1.46/0.61 % (30580)Instructions burned: 51 (million)
% 1.46/0.61 % (30580)------------------------------
% 1.46/0.61 % (30580)------------------------------
% 1.46/0.62 % (30601)Instruction limit reached!
% 1.46/0.62 % (30601)------------------------------
% 1.46/0.62 % (30601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.62 % (30601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.62 % (30601)Termination reason: Unknown
% 1.46/0.62 % (30601)Termination phase: Saturation
% 1.46/0.62
% 1.46/0.62 % (30601)Memory used [KB]: 6780
% 1.46/0.62 % (30601)Time elapsed: 0.199 s
% 1.46/0.62 % (30601)Instructions burned: 51 (million)
% 1.46/0.62 % (30601)------------------------------
% 1.46/0.62 % (30601)------------------------------
% 1.46/0.62 % (30583)Instruction limit reached!
% 1.46/0.62 % (30583)------------------------------
% 1.46/0.62 % (30583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.62 % (30583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.62 % (30583)Termination reason: Unknown
% 1.46/0.62 % (30583)Termination phase: Saturation
% 1.46/0.62
% 1.46/0.62 % (30583)Memory used [KB]: 6524
% 1.46/0.62 % (30583)Time elapsed: 0.184 s
% 1.46/0.62 % (30583)Instructions burned: 40 (million)
% 1.46/0.62 % (30583)------------------------------
% 1.46/0.62 % (30583)------------------------------
% 1.46/0.62 % (30593)Instruction limit reached!
% 1.46/0.62 % (30593)------------------------------
% 1.46/0.62 % (30593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.62 % (30593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.62 % (30593)Termination reason: Unknown
% 1.46/0.62 % (30593)Termination phase: Saturation
% 1.46/0.62
% 1.46/0.62 % (30593)Memory used [KB]: 6908
% 1.46/0.62 % (30593)Time elapsed: 0.183 s
% 1.46/0.62 % (30593)Instructions burned: 50 (million)
% 1.46/0.62 % (30593)------------------------------
% 1.46/0.62 % (30593)------------------------------
% 1.46/0.63 % (30584)Instruction limit reached!
% 1.46/0.63 % (30584)------------------------------
% 1.46/0.63 % (30584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.63 % (30585)Instruction limit reached!
% 1.46/0.63 % (30585)------------------------------
% 1.46/0.63 % (30585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.63 % (30584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.63 % (30584)Termination reason: Unknown
% 1.46/0.63 % (30585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.63 % (30584)Termination phase: Saturation
% 1.46/0.63 % (30585)Termination reason: Unknown
% 1.46/0.63
% 1.46/0.63 % (30585)Termination phase: Saturation
% 1.46/0.63
% 1.46/0.63 % (30584)Memory used [KB]: 6652
% 1.46/0.63 % (30585)Memory used [KB]: 6780
% 1.46/0.63 % (30584)Time elapsed: 0.184 s
% 1.46/0.63 % (30584)Instructions burned: 41 (million)
% 1.46/0.63 % (30585)Time elapsed: 0.232 s
% 1.46/0.63 % (30585)Instructions burned: 50 (million)
% 1.46/0.63 % (30584)------------------------------
% 1.46/0.63 % (30584)------------------------------
% 1.46/0.63 % (30585)------------------------------
% 1.46/0.63 % (30585)------------------------------
% 1.96/0.64 % (30600)Instruction limit reached!
% 1.96/0.64 % (30600)------------------------------
% 1.96/0.64 % (30600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.64 % (30600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.64 % (30600)Termination reason: Unknown
% 1.96/0.64 % (30600)Termination phase: Saturation
% 1.96/0.64
% 1.96/0.64 % (30600)Memory used [KB]: 2046
% 1.96/0.64 % (30600)Time elapsed: 0.227 s
% 1.96/0.64 % (30600)Instructions burned: 45 (million)
% 1.96/0.64 % (30600)------------------------------
% 1.96/0.64 % (30600)------------------------------
% 1.96/0.64 % (30607)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.96/0.66 % (30609)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 1.96/0.66 % (30608)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.96/0.66 % (30611)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 1.96/0.67 % (30615)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 1.96/0.67 % (30610)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 1.96/0.68 % (30612)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 1.96/0.68 % (30599)Instruction limit reached!
% 1.96/0.68 % (30599)------------------------------
% 1.96/0.68 % (30599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.68 % (30599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.68 % (30599)Termination reason: Unknown
% 1.96/0.68 % (30599)Termination phase: Saturation
% 1.96/0.68
% 1.96/0.68 % (30599)Memory used [KB]: 8059
% 1.96/0.68 % (30599)Time elapsed: 0.223 s
% 1.96/0.68 % (30599)Instructions burned: 82 (million)
% 1.96/0.68 % (30599)------------------------------
% 1.96/0.68 % (30599)------------------------------
% 1.96/0.68 % (30613)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 1.96/0.68 % (30614)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 1.96/0.68 % (30602)First to succeed.
% 1.96/0.68 % (30616)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 1.96/0.68 % (30608)Instruction limit reached!
% 1.96/0.68 % (30608)------------------------------
% 1.96/0.68 % (30608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.68 % (30608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.68 % (30608)Termination reason: Unknown
% 1.96/0.68 % (30608)Termination phase: Saturation
% 1.96/0.68
% 1.96/0.68 % (30608)Memory used [KB]: 10618
% 1.96/0.68 % (30608)Time elapsed: 0.127 s
% 1.96/0.68 % (30608)Instructions burned: 7 (million)
% 1.96/0.68 % (30608)------------------------------
% 1.96/0.68 % (30608)------------------------------
% 1.96/0.68 % (30620)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 1.96/0.69 % (30602)Refutation found. Thanks to Tanya!
% 1.96/0.69 % SZS status Theorem for theBenchmark
% 1.96/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 1.96/0.69 % (30602)------------------------------
% 1.96/0.69 % (30602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.69 % (30602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.69 % (30602)Termination reason: Refutation
% 1.96/0.69
% 1.96/0.69 % (30602)Memory used [KB]: 7419
% 1.96/0.69 % (30602)Time elapsed: 0.286 s
% 1.96/0.69 % (30602)Instructions burned: 77 (million)
% 1.96/0.69 % (30602)------------------------------
% 1.96/0.69 % (30602)------------------------------
% 1.96/0.69 % (30576)Success in time 0.34 s
%------------------------------------------------------------------------------