TSTP Solution File: SWC200+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC200+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 16:10:51 EDT 2024
% Result : Theorem 1.35s 0.61s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 64
% Syntax : Number of formulae : 322 ( 21 unt; 0 def)
% Number of atoms : 1224 ( 238 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 1485 ( 583 ~; 634 |; 174 &)
% ( 40 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 42 ( 40 usr; 27 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 275 ( 208 !; 67 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4280,plain,
$false,
inference(avatar_sat_refutation,[],[f813,f820,f830,f903,f907,f1378,f1382,f1458,f1462,f1549,f1553,f1570,f1579,f1583,f1763,f1767,f1772,f1888,f1892,f1943,f1947,f2200,f2242,f2855,f3681,f4279]) ).
fof(f4279,plain,
( spl70_2
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9
| ~ spl70_10 ),
inference(avatar_contradiction_clause,[],[f4278]) ).
fof(f4278,plain,
( $false
| spl70_2
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9
| ~ spl70_10 ),
inference(subsumption_resolution,[],[f4277,f1500]) ).
fof(f1500,plain,
( ssItem(hd(sK18))
| spl70_2
| ~ spl70_7
| ~ spl70_9 ),
inference(superposition,[],[f1372,f1497]) ).
fof(f1497,plain,
( hd(sK18) = sK24(sK18)
| spl70_2
| ~ spl70_7
| ~ spl70_9 ),
inference(forward_demodulation,[],[f1477,f1353]) ).
fof(f1353,plain,
( sK18 = cons(sK24(sK18),sK23(sK18))
| spl70_2 ),
inference(subsumption_resolution,[],[f1320,f811]) ).
fof(f811,plain,
( nil != sK18
| spl70_2 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f810,plain,
( spl70_2
<=> nil = sK18 ),
introduced(avatar_definition,[new_symbols(naming,[spl70_2])]) ).
fof(f1320,plain,
( nil = sK18
| sK18 = cons(sK24(sK18),sK23(sK18)) ),
inference(resolution,[],[f459,f375]) ).
fof(f375,plain,
ssList(sK18),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
( ! [X4] :
( ( sK22(X4) != X4
& memberP(sK18,sK22(X4))
& ssItem(sK22(X4)) )
| ~ ssItem(X4) )
& singletonP(sK20)
& sK18 = sK20
& sK19 = sK21
& ssList(sK21)
& ssList(sK20)
& ssList(sK19)
& ssList(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21,sK22])],[f99,f254,f253,f252,f251,f250]) ).
fof(f250,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ! [X4] :
( ? [X5] :
( X4 != X5
& memberP(X0,X5)
& ssItem(X5) )
| ~ ssItem(X4) )
& singletonP(X2)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ! [X4] :
( ? [X5] :
( X4 != X5
& memberP(sK18,X5)
& ssItem(X5) )
| ~ ssItem(X4) )
& singletonP(X2)
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ! [X4] :
( ? [X5] :
( X4 != X5
& memberP(sK18,X5)
& ssItem(X5) )
| ~ ssItem(X4) )
& singletonP(X2)
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ! [X4] :
( ? [X5] :
( X4 != X5
& memberP(sK18,X5)
& ssItem(X5) )
| ~ ssItem(X4) )
& singletonP(X2)
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X2] :
( ? [X3] :
( ! [X4] :
( ? [X5] :
( X4 != X5
& memberP(sK18,X5)
& ssItem(X5) )
| ~ ssItem(X4) )
& singletonP(X2)
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ! [X4] :
( ? [X5] :
( X4 != X5
& memberP(sK18,X5)
& ssItem(X5) )
| ~ ssItem(X4) )
& singletonP(sK20)
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X3] :
( ! [X4] :
( ? [X5] :
( X4 != X5
& memberP(sK18,X5)
& ssItem(X5) )
| ~ ssItem(X4) )
& singletonP(sK20)
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
=> ( ! [X4] :
( ? [X5] :
( X4 != X5
& memberP(sK18,X5)
& ssItem(X5) )
| ~ ssItem(X4) )
& singletonP(sK20)
& sK18 = sK20
& sK19 = sK21
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
! [X4] :
( ? [X5] :
( X4 != X5
& memberP(sK18,X5)
& ssItem(X5) )
=> ( sK22(X4) != X4
& memberP(sK18,sK22(X4))
& ssItem(sK22(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ! [X4] :
( ? [X5] :
( X4 != X5
& memberP(X0,X5)
& ssItem(X5) )
| ~ ssItem(X4) )
& singletonP(X2)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ! [X4] :
( ? [X5] :
( X4 != X5
& memberP(X0,X5)
& ssItem(X5) )
| ~ ssItem(X4) )
& singletonP(X2)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ? [X4] :
( ! [X5] :
( ssItem(X5)
=> ( X4 = X5
| ~ memberP(X0,X5) ) )
& ssItem(X4) )
| ~ singletonP(X2)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ? [X4] :
( ! [X5] :
( ssItem(X5)
=> ( X4 = X5
| ~ memberP(X0,X5) ) )
& ssItem(X4) )
| ~ singletonP(X2)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f459,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(sK24(X0),sK23(X0)) = X0 ),
inference(cnf_transformation,[],[f277]) ).
fof(f277,plain,
! [X0] :
( ( cons(sK24(X0),sK23(X0)) = X0
& ssItem(sK24(X0))
& ssList(sK23(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f149,f276,f275]) ).
fof(f275,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
=> ( ? [X2] :
( cons(X2,sK23(X0)) = X0
& ssItem(X2) )
& ssList(sK23(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f276,plain,
! [X0] :
( ? [X2] :
( cons(X2,sK23(X0)) = X0
& ssItem(X2) )
=> ( cons(sK24(X0),sK23(X0)) = X0
& ssItem(sK24(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f1477,plain,
( sK24(sK18) = hd(cons(sK24(sK18),sK23(sK18)))
| ~ spl70_7
| ~ spl70_9 ),
inference(resolution,[],[f1470,f1372]) ).
fof(f1470,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK23(sK18))) = X0 )
| ~ spl70_9 ),
inference(resolution,[],[f1452,f559]) ).
fof(f559,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f1452,plain,
( ssList(sK23(sK18))
| ~ spl70_9 ),
inference(avatar_component_clause,[],[f1451]) ).
fof(f1451,plain,
( spl70_9
<=> ssList(sK23(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_9])]) ).
fof(f1372,plain,
( ssItem(sK24(sK18))
| ~ spl70_7 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f1371,plain,
( spl70_7
<=> ssItem(sK24(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_7])]) ).
fof(f4277,plain,
( ~ ssItem(hd(sK18))
| spl70_2
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9
| ~ spl70_10 ),
inference(trivial_inequality_removal,[],[f4274]) ).
fof(f4274,plain,
( hd(sK18) != hd(sK18)
| ~ ssItem(hd(sK18))
| spl70_2
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9
| ~ spl70_10 ),
inference(superposition,[],[f384,f4251]) ).
fof(f4251,plain,
( hd(sK18) = sK22(hd(sK18))
| spl70_2
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9
| ~ spl70_10 ),
inference(forward_demodulation,[],[f4231,f1497]) ).
fof(f4231,plain,
( hd(sK18) = sK22(sK24(sK18))
| spl70_2
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9
| ~ spl70_10 ),
inference(resolution,[],[f4226,f1372]) ).
fof(f4226,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK22(X0) = hd(sK18) )
| spl70_2
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9
| ~ spl70_10 ),
inference(forward_demodulation,[],[f4170,f4172]) ).
fof(f4172,plain,
( hd(sK18) = sK27(sK18)
| spl70_2
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9
| ~ spl70_10 ),
inference(forward_demodulation,[],[f4171,f1497]) ).
fof(f4171,plain,
( sK27(sK18) = sK24(sK18)
| ~ spl70_5
| ~ spl70_7
| ~ spl70_10 ),
inference(subsumption_resolution,[],[f4167,f1372]) ).
fof(f4167,plain,
( sK27(sK18) = sK24(sK18)
| ~ ssItem(sK24(sK18))
| ~ spl70_5
| ~ spl70_10 ),
inference(resolution,[],[f3602,f1457]) ).
fof(f1457,plain,
( memberP(sK18,sK24(sK18))
| ~ spl70_10 ),
inference(avatar_component_clause,[],[f1455]) ).
fof(f1455,plain,
( spl70_10
<=> memberP(sK18,sK24(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_10])]) ).
fof(f3602,plain,
( ! [X0] :
( ~ memberP(sK18,X0)
| sK27(sK18) = X0
| ~ ssItem(X0) )
| ~ spl70_5 ),
inference(subsumption_resolution,[],[f3601,f394]) ).
fof(f394,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/sandbox2/benchmark/theBenchmark.p',ax38) ).
fof(f3601,plain,
( ! [X0] :
( ~ memberP(sK18,X0)
| sK27(sK18) = X0
| memberP(nil,X0)
| ~ ssItem(X0) )
| ~ spl70_5 ),
inference(subsumption_resolution,[],[f3600,f897]) ).
fof(f897,plain,
( ssItem(sK27(sK18))
| ~ spl70_5 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f896,plain,
( spl70_5
<=> ssItem(sK27(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_5])]) ).
fof(f3600,plain,
! [X0] :
( ~ memberP(sK18,X0)
| sK27(sK18) = X0
| memberP(nil,X0)
| ~ ssItem(sK27(sK18))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f3591,f393]) ).
fof(f393,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f3591,plain,
! [X0] :
( ~ memberP(sK18,X0)
| sK27(sK18) = X0
| memberP(nil,X0)
| ~ ssList(nil)
| ~ ssItem(sK27(sK18))
| ~ ssItem(X0) ),
inference(superposition,[],[f424,f875]) ).
fof(f875,plain,
sK18 = cons(sK27(sK18),nil),
inference(forward_demodulation,[],[f874,f380]) ).
fof(f380,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f255]) ).
fof(f874,plain,
sK20 = cons(sK27(sK20),nil),
inference(subsumption_resolution,[],[f872,f377]) ).
fof(f377,plain,
ssList(sK20),
inference(cnf_transformation,[],[f255]) ).
fof(f872,plain,
( sK20 = cons(sK27(sK20),nil)
| ~ ssList(sK20) ),
inference(resolution,[],[f468,f381]) ).
fof(f381,plain,
singletonP(sK20),
inference(cnf_transformation,[],[f255]) ).
fof(f468,plain,
! [X0] :
( ~ singletonP(X0)
| cons(sK27(X0),nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ( cons(sK27(X0),nil) = X0
& ssItem(sK27(X0)) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f283,f284]) ).
fof(f284,plain,
! [X0] :
( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
=> ( cons(sK27(X0),nil) = X0
& ssItem(sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f283,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f282]) ).
fof(f282,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f424,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| X0 = X1
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f261]) ).
fof(f261,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[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/sandbox2/benchmark/theBenchmark.p',ax37) ).
fof(f4170,plain,
( ! [X0] :
( sK22(X0) = sK27(sK18)
| ~ ssItem(X0) )
| ~ spl70_5 ),
inference(subsumption_resolution,[],[f4166,f382]) ).
fof(f382,plain,
! [X4] :
( ssItem(sK22(X4))
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f255]) ).
fof(f4166,plain,
( ! [X0] :
( sK22(X0) = sK27(sK18)
| ~ ssItem(sK22(X0))
| ~ ssItem(X0) )
| ~ spl70_5 ),
inference(resolution,[],[f3602,f383]) ).
fof(f383,plain,
! [X4] :
( memberP(sK18,sK22(X4))
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f255]) ).
fof(f384,plain,
! [X4] :
( sK22(X4) != X4
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f255]) ).
fof(f3681,plain,
( spl70_2
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9
| ~ spl70_14 ),
inference(avatar_contradiction_clause,[],[f3680]) ).
fof(f3680,plain,
( $false
| spl70_2
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9
| ~ spl70_14 ),
inference(subsumption_resolution,[],[f3678,f1500]) ).
fof(f3678,plain,
( ~ ssItem(hd(sK18))
| spl70_2
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9
| ~ spl70_14 ),
inference(trivial_inequality_removal,[],[f3675]) ).
fof(f3675,plain,
( hd(sK18) != hd(sK18)
| ~ ssItem(hd(sK18))
| spl70_2
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9
| ~ spl70_14 ),
inference(superposition,[],[f384,f3647]) ).
fof(f3647,plain,
( hd(sK18) = sK22(hd(sK18))
| spl70_2
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9
| ~ spl70_14 ),
inference(forward_demodulation,[],[f3627,f1497]) ).
fof(f3627,plain,
( hd(sK18) = sK22(sK24(sK18))
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9
| ~ spl70_14 ),
inference(resolution,[],[f3622,f1372]) ).
fof(f3622,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK22(X0) = hd(sK18) )
| ~ spl70_5
| ~ spl70_9
| ~ spl70_14 ),
inference(subsumption_resolution,[],[f3619,f382]) ).
fof(f3619,plain,
( ! [X0] :
( sK22(X0) = hd(sK18)
| ~ ssItem(sK22(X0))
| ~ ssItem(X0) )
| ~ spl70_5
| ~ spl70_9
| ~ spl70_14 ),
inference(resolution,[],[f3603,f383]) ).
fof(f3603,plain,
( ! [X0] :
( ~ memberP(sK18,X0)
| hd(sK18) = X0
| ~ ssItem(X0) )
| ~ spl70_5
| ~ spl70_9
| ~ spl70_14 ),
inference(forward_demodulation,[],[f3602,f2862]) ).
fof(f2862,plain,
( hd(sK18) = sK27(sK18)
| ~ spl70_5
| ~ spl70_9
| ~ spl70_14 ),
inference(forward_demodulation,[],[f2861,f875]) ).
fof(f2861,plain,
( sK27(sK18) = hd(cons(sK27(sK18),nil))
| ~ spl70_5
| ~ spl70_9
| ~ spl70_14 ),
inference(forward_demodulation,[],[f1480,f1569]) ).
fof(f1569,plain,
( nil = sK23(sK18)
| ~ spl70_14 ),
inference(avatar_component_clause,[],[f1567]) ).
fof(f1567,plain,
( spl70_14
<=> nil = sK23(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_14])]) ).
fof(f1480,plain,
( sK27(sK18) = hd(cons(sK27(sK18),sK23(sK18)))
| ~ spl70_5
| ~ spl70_9 ),
inference(resolution,[],[f1470,f897]) ).
fof(f2855,plain,
( spl70_25
| spl70_26
| ~ spl70_4
| ~ spl70_17 ),
inference(avatar_split_clause,[],[f1903,f1881,f827,f2852,f2848]) ).
fof(f2848,plain,
( spl70_25
<=> nil = cons(sK68,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_25])]) ).
fof(f2852,plain,
( spl70_26
<=> sK68 = sK25(cons(sK68,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_26])]) ).
fof(f827,plain,
( spl70_4
<=> nil = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl70_4])]) ).
fof(f1881,plain,
( spl70_17
<=> ssList(cons(sK68,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_17])]) ).
fof(f1903,plain,
( sK68 = sK25(cons(sK68,nil))
| nil = cons(sK68,nil)
| ~ spl70_4
| ~ spl70_17 ),
inference(forward_demodulation,[],[f1897,f1085]) ).
fof(f1085,plain,
( sK68 = hd(cons(sK68,nil))
| ~ spl70_4 ),
inference(resolution,[],[f977,f599]) ).
fof(f599,plain,
ssItem(sK68),
inference(cnf_transformation,[],[f374]) ).
fof(f374,plain,
( sK68 != sK69
& ssItem(sK69)
& ssItem(sK68) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK68,sK69])],[f2,f373,f372]) ).
fof(f372,plain,
( ? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) )
=> ( ? [X1] :
( sK68 != X1
& ssItem(X1) )
& ssItem(sK68) ) ),
introduced(choice_axiom,[]) ).
fof(f373,plain,
( ? [X1] :
( sK68 != X1
& ssItem(X1) )
=> ( sK68 != sK69
& ssItem(sK69) ) ),
introduced(choice_axiom,[]) ).
fof(f2,axiom,
? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f977,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,nil)) = X0 )
| ~ spl70_4 ),
inference(forward_demodulation,[],[f952,f829]) ).
fof(f829,plain,
( nil = sK19
| ~ spl70_4 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f952,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK19)) = X0 ),
inference(resolution,[],[f559,f376]) ).
fof(f376,plain,
ssList(sK19),
inference(cnf_transformation,[],[f255]) ).
fof(f1897,plain,
( nil = cons(sK68,nil)
| hd(cons(sK68,nil)) = sK25(cons(sK68,nil))
| ~ spl70_17 ),
inference(resolution,[],[f1882,f464]) ).
fof(f464,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| hd(X0) = sK25(X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
! [X0] :
( ( hd(X0) = sK25(X0)
& ssItem(sK25(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f157,f278]) ).
fof(f278,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
=> ( hd(X0) = sK25(X0)
& ssItem(sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( hd(X0) = X1
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax75) ).
fof(f1882,plain,
( ssList(cons(sK68,nil))
| ~ spl70_17 ),
inference(avatar_component_clause,[],[f1881]) ).
fof(f2242,plain,
( ~ spl70_23
| spl70_24
| ~ spl70_19
| ~ spl70_20 ),
inference(avatar_split_clause,[],[f2043,f1940,f1936,f2239,f2235]) ).
fof(f2235,plain,
( spl70_23
<=> rearsegP(sK18,cons(sK69,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_23])]) ).
fof(f2239,plain,
( spl70_24
<=> sK18 = cons(sK69,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_24])]) ).
fof(f1936,plain,
( spl70_19
<=> ssList(cons(sK69,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_19])]) ).
fof(f1940,plain,
( spl70_20
<=> ssList(cons(sK69,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_20])]) ).
fof(f2043,plain,
( sK18 = cons(sK69,sK18)
| ~ rearsegP(sK18,cons(sK69,sK18))
| ~ spl70_19
| ~ spl70_20 ),
inference(subsumption_resolution,[],[f2042,f375]) ).
fof(f2042,plain,
( sK18 = cons(sK69,sK18)
| ~ rearsegP(sK18,cons(sK69,sK18))
| ~ ssList(sK18)
| ~ spl70_19
| ~ spl70_20 ),
inference(subsumption_resolution,[],[f2041,f1942]) ).
fof(f1942,plain,
( ssList(cons(sK69,sK18))
| ~ spl70_20 ),
inference(avatar_component_clause,[],[f1940]) ).
fof(f2041,plain,
( sK18 = cons(sK69,sK18)
| ~ rearsegP(sK18,cons(sK69,sK18))
| ~ ssList(cons(sK69,sK18))
| ~ ssList(sK18)
| ~ spl70_19 ),
inference(resolution,[],[f2037,f569]) ).
fof(f569,plain,
! [X0,X1] :
( ~ rearsegP(X1,X0)
| X0 = X1
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( rearsegP(X1,X0)
& rearsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).
fof(f2037,plain,
( rearsegP(cons(sK69,sK18),sK18)
| ~ spl70_19 ),
inference(subsumption_resolution,[],[f2036,f375]) ).
fof(f2036,plain,
( rearsegP(cons(sK69,sK18),sK18)
| ~ ssList(sK18)
| ~ spl70_19 ),
inference(subsumption_resolution,[],[f2028,f1937]) ).
fof(f1937,plain,
( ssList(cons(sK69,nil))
| ~ spl70_19 ),
inference(avatar_component_clause,[],[f1936]) ).
fof(f2028,plain,
( rearsegP(cons(sK69,sK18),sK18)
| ~ ssList(cons(sK69,nil))
| ~ ssList(sK18) ),
inference(superposition,[],[f1979,f1820]) ).
fof(f1820,plain,
cons(sK69,sK18) = app(cons(sK69,nil),sK18),
inference(resolution,[],[f1699,f600]) ).
fof(f600,plain,
ssItem(sK69),
inference(cnf_transformation,[],[f374]) ).
fof(f1699,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK18) = app(cons(X0,nil),sK18) ),
inference(resolution,[],[f560,f375]) ).
fof(f560,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/sandbox2/benchmark/theBenchmark.p',ax81) ).
fof(f1979,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f624,f565]) ).
fof(f565,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/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f624,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X2,X1)) ),
inference(equality_resolution,[],[f576]) ).
fof(f576,plain,
! [X2,X0,X1] :
( rearsegP(X0,X1)
| app(X2,X1) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f360]) ).
fof(f360,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ( app(sK64(X0,X1),X1) = X0
& ssList(sK64(X0,X1)) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64])],[f358,f359]) ).
fof(f359,plain,
! [X0,X1] :
( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
=> ( app(sK64(X0,X1),X1) = X0
& ssList(sK64(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f358,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f357]) ).
fof(f357,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ? [X2] :
( app(X2,X1) = X0
& ssList(X2) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f2200,plain,
( ~ spl70_21
| spl70_22
| ~ spl70_17
| ~ spl70_18 ),
inference(avatar_split_clause,[],[f2040,f1885,f1881,f2197,f2193]) ).
fof(f2193,plain,
( spl70_21
<=> rearsegP(sK18,cons(sK68,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_21])]) ).
fof(f2197,plain,
( spl70_22
<=> sK18 = cons(sK68,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_22])]) ).
fof(f1885,plain,
( spl70_18
<=> ssList(cons(sK68,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_18])]) ).
fof(f2040,plain,
( sK18 = cons(sK68,sK18)
| ~ rearsegP(sK18,cons(sK68,sK18))
| ~ spl70_17
| ~ spl70_18 ),
inference(subsumption_resolution,[],[f2039,f375]) ).
fof(f2039,plain,
( sK18 = cons(sK68,sK18)
| ~ rearsegP(sK18,cons(sK68,sK18))
| ~ ssList(sK18)
| ~ spl70_17
| ~ spl70_18 ),
inference(subsumption_resolution,[],[f2038,f1887]) ).
fof(f1887,plain,
( ssList(cons(sK68,sK18))
| ~ spl70_18 ),
inference(avatar_component_clause,[],[f1885]) ).
fof(f2038,plain,
( sK18 = cons(sK68,sK18)
| ~ rearsegP(sK18,cons(sK68,sK18))
| ~ ssList(cons(sK68,sK18))
| ~ ssList(sK18)
| ~ spl70_17 ),
inference(resolution,[],[f2035,f569]) ).
fof(f2035,plain,
( rearsegP(cons(sK68,sK18),sK18)
| ~ spl70_17 ),
inference(subsumption_resolution,[],[f2034,f375]) ).
fof(f2034,plain,
( rearsegP(cons(sK68,sK18),sK18)
| ~ ssList(sK18)
| ~ spl70_17 ),
inference(subsumption_resolution,[],[f2027,f1882]) ).
fof(f2027,plain,
( rearsegP(cons(sK68,sK18),sK18)
| ~ ssList(cons(sK68,nil))
| ~ ssList(sK18) ),
inference(superposition,[],[f1979,f1819]) ).
fof(f1819,plain,
cons(sK68,sK18) = app(cons(sK68,nil),sK18),
inference(resolution,[],[f1699,f599]) ).
fof(f1947,plain,
spl70_19,
inference(avatar_contradiction_clause,[],[f1946]) ).
fof(f1946,plain,
( $false
| spl70_19 ),
inference(subsumption_resolution,[],[f1945,f393]) ).
fof(f1945,plain,
( ~ ssList(nil)
| spl70_19 ),
inference(subsumption_resolution,[],[f1944,f600]) ).
fof(f1944,plain,
( ~ ssItem(sK69)
| ~ ssList(nil)
| spl70_19 ),
inference(resolution,[],[f1938,f555]) ).
fof(f555,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/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f1938,plain,
( ~ ssList(cons(sK69,nil))
| spl70_19 ),
inference(avatar_component_clause,[],[f1936]) ).
fof(f1943,plain,
( ~ spl70_19
| spl70_20 ),
inference(avatar_split_clause,[],[f1934,f1940,f1936]) ).
fof(f1934,plain,
( ssList(cons(sK69,sK18))
| ~ ssList(cons(sK69,nil)) ),
inference(subsumption_resolution,[],[f1930,f375]) ).
fof(f1930,plain,
( ssList(cons(sK69,sK18))
| ~ ssList(sK18)
| ~ ssList(cons(sK69,nil)) ),
inference(superposition,[],[f565,f1820]) ).
fof(f1892,plain,
spl70_17,
inference(avatar_contradiction_clause,[],[f1891]) ).
fof(f1891,plain,
( $false
| spl70_17 ),
inference(subsumption_resolution,[],[f1890,f393]) ).
fof(f1890,plain,
( ~ ssList(nil)
| spl70_17 ),
inference(subsumption_resolution,[],[f1889,f599]) ).
fof(f1889,plain,
( ~ ssItem(sK68)
| ~ ssList(nil)
| spl70_17 ),
inference(resolution,[],[f1883,f555]) ).
fof(f1883,plain,
( ~ ssList(cons(sK68,nil))
| spl70_17 ),
inference(avatar_component_clause,[],[f1881]) ).
fof(f1888,plain,
( ~ spl70_17
| spl70_18 ),
inference(avatar_split_clause,[],[f1879,f1885,f1881]) ).
fof(f1879,plain,
( ssList(cons(sK68,sK18))
| ~ ssList(cons(sK68,nil)) ),
inference(subsumption_resolution,[],[f1875,f375]) ).
fof(f1875,plain,
( ssList(cons(sK68,sK18))
| ~ ssList(sK18)
| ~ ssList(cons(sK68,nil)) ),
inference(superposition,[],[f565,f1819]) ).
fof(f1772,plain,
( spl70_2
| ~ spl70_4
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9
| spl70_14 ),
inference(avatar_contradiction_clause,[],[f1771]) ).
fof(f1771,plain,
( $false
| spl70_2
| ~ spl70_4
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9
| spl70_14 ),
inference(subsumption_resolution,[],[f1770,f1568]) ).
fof(f1568,plain,
( nil != sK23(sK18)
| spl70_14 ),
inference(avatar_component_clause,[],[f1567]) ).
fof(f1770,plain,
( nil = sK23(sK18)
| spl70_2
| ~ spl70_4
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9 ),
inference(forward_demodulation,[],[f1769,f1033]) ).
fof(f1033,plain,
( nil = tl(sK18)
| ~ spl70_4
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1016,f875]) ).
fof(f1016,plain,
( nil = tl(cons(sK27(sK18),nil))
| ~ spl70_4
| ~ spl70_5 ),
inference(resolution,[],[f938,f897]) ).
fof(f938,plain,
( ! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) )
| ~ spl70_4 ),
inference(forward_demodulation,[],[f913,f829]) ).
fof(f913,plain,
! [X0] :
( ~ ssItem(X0)
| sK19 = tl(cons(X0,sK19)) ),
inference(resolution,[],[f558,f376]) ).
fof(f558,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/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f1769,plain,
( tl(sK18) = sK23(sK18)
| spl70_2
| ~ spl70_4
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9 ),
inference(forward_demodulation,[],[f1768,f1499]) ).
fof(f1499,plain,
( sK18 = cons(hd(sK18),sK23(sK18))
| spl70_2
| ~ spl70_7
| ~ spl70_9 ),
inference(superposition,[],[f1353,f1497]) ).
fof(f1768,plain,
( sK23(sK18) = tl(cons(hd(sK18),sK23(sK18)))
| ~ spl70_4
| ~ spl70_5
| ~ spl70_9 ),
inference(forward_demodulation,[],[f1743,f1087]) ).
fof(f1087,plain,
( hd(sK18) = sK27(sK18)
| ~ spl70_4
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1070,f875]) ).
fof(f1070,plain,
( sK27(sK18) = hd(cons(sK27(sK18),nil))
| ~ spl70_4
| ~ spl70_5 ),
inference(resolution,[],[f977,f897]) ).
fof(f1743,plain,
( sK23(sK18) = tl(cons(sK27(sK18),sK23(sK18)))
| ~ spl70_5
| ~ spl70_9 ),
inference(resolution,[],[f1469,f897]) ).
fof(f1469,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK23(sK18) = tl(cons(X0,sK23(sK18))) )
| ~ spl70_9 ),
inference(resolution,[],[f1452,f558]) ).
fof(f1767,plain,
( spl70_2
| ~ spl70_4
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9
| spl70_14 ),
inference(avatar_contradiction_clause,[],[f1766]) ).
fof(f1766,plain,
( $false
| spl70_2
| ~ spl70_4
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9
| spl70_14 ),
inference(subsumption_resolution,[],[f1765,f1568]) ).
fof(f1765,plain,
( nil = sK23(sK18)
| spl70_2
| ~ spl70_4
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9 ),
inference(forward_demodulation,[],[f1764,f1033]) ).
fof(f1764,plain,
( tl(sK18) = sK23(sK18)
| spl70_2
| ~ spl70_7
| ~ spl70_9 ),
inference(forward_demodulation,[],[f1740,f1353]) ).
fof(f1740,plain,
( sK23(sK18) = tl(cons(sK24(sK18),sK23(sK18)))
| ~ spl70_7
| ~ spl70_9 ),
inference(resolution,[],[f1469,f1372]) ).
fof(f1763,plain,
( spl70_2
| ~ spl70_4
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9
| spl70_14 ),
inference(avatar_contradiction_clause,[],[f1762]) ).
fof(f1762,plain,
( $false
| spl70_2
| ~ spl70_4
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9
| spl70_14 ),
inference(subsumption_resolution,[],[f1761,f1568]) ).
fof(f1761,plain,
( nil = sK23(sK18)
| spl70_2
| ~ spl70_4
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9 ),
inference(forward_demodulation,[],[f1760,f1033]) ).
fof(f1760,plain,
( tl(sK18) = sK23(sK18)
| spl70_2
| ~ spl70_4
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9 ),
inference(forward_demodulation,[],[f1737,f1499]) ).
fof(f1737,plain,
( sK23(sK18) = tl(cons(hd(sK18),sK23(sK18)))
| ~ spl70_4
| ~ spl70_5
| ~ spl70_9 ),
inference(resolution,[],[f1469,f1096]) ).
fof(f1096,plain,
( ssItem(hd(sK18))
| ~ spl70_4
| ~ spl70_5 ),
inference(superposition,[],[f897,f1087]) ).
fof(f1583,plain,
( ~ spl70_4
| ~ spl70_5
| ~ spl70_9
| spl70_16 ),
inference(avatar_contradiction_clause,[],[f1582]) ).
fof(f1582,plain,
( $false
| ~ spl70_4
| ~ spl70_5
| ~ spl70_9
| spl70_16 ),
inference(subsumption_resolution,[],[f1581,f1096]) ).
fof(f1581,plain,
( ~ ssItem(hd(sK18))
| ~ spl70_9
| spl70_16 ),
inference(subsumption_resolution,[],[f1580,f1452]) ).
fof(f1580,plain,
( ~ ssList(sK23(sK18))
| ~ ssItem(hd(sK18))
| spl70_16 ),
inference(resolution,[],[f1578,f445]) ).
fof(f445,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( sP3(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f138,f227,f226]) ).
fof(f226,plain,
! [X1,X0] :
( sP2(X1,X0)
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f227,plain,
! [X0,X1] :
( ( strictorderedP(cons(X0,X1))
<=> sP2(X1,X0) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).
fof(f1578,plain,
( ~ sP3(hd(sK18),sK23(sK18))
| spl70_16 ),
inference(avatar_component_clause,[],[f1576]) ).
fof(f1576,plain,
( spl70_16
<=> sP3(hd(sK18),sK23(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_16])]) ).
fof(f1579,plain,
( spl70_15
| ~ spl70_16
| spl70_2
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9 ),
inference(avatar_split_clause,[],[f1540,f1451,f1371,f896,f810,f1576,f1572]) ).
fof(f1572,plain,
( spl70_15
<=> sP2(sK23(sK18),hd(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_15])]) ).
fof(f1540,plain,
( ~ sP3(hd(sK18),sK23(sK18))
| sP2(sK23(sK18),hd(sK18))
| spl70_2
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9 ),
inference(forward_demodulation,[],[f1539,f1497]) ).
fof(f1539,plain,
( sP2(sK23(sK18),hd(sK18))
| ~ sP3(sK24(sK18),sK23(sK18))
| spl70_2
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9 ),
inference(forward_demodulation,[],[f1367,f1497]) ).
fof(f1367,plain,
( sP2(sK23(sK18),sK24(sK18))
| ~ sP3(sK24(sK18),sK23(sK18))
| spl70_2
| ~ spl70_5 ),
inference(subsumption_resolution,[],[f1360,f946]) ).
fof(f946,plain,
( strictorderedP(sK18)
| ~ spl70_5 ),
inference(subsumption_resolution,[],[f882,f897]) ).
fof(f882,plain,
( strictorderedP(sK18)
| ~ ssItem(sK27(sK18)) ),
inference(superposition,[],[f403,f875]) ).
fof(f403,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
fof(f1360,plain,
( ~ strictorderedP(sK18)
| sP2(sK23(sK18),sK24(sK18))
| ~ sP3(sK24(sK18),sK23(sK18))
| spl70_2 ),
inference(superposition,[],[f438,f1353]) ).
fof(f438,plain,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
! [X0,X1] :
( ( ( strictorderedP(cons(X0,X1))
| ~ sP2(X1,X0) )
& ( sP2(X1,X0)
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f227]) ).
fof(f1570,plain,
( spl70_13
| spl70_14
| ~ spl70_11 ),
inference(avatar_split_clause,[],[f1554,f1542,f1567,f1563]) ).
fof(f1563,plain,
( spl70_13
<=> totalorderedP(sK23(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_13])]) ).
fof(f1542,plain,
( spl70_11
<=> sP0(sK23(sK18),hd(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_11])]) ).
fof(f1554,plain,
( nil = sK23(sK18)
| totalorderedP(sK23(sK18))
| ~ spl70_11 ),
inference(resolution,[],[f1544,f433]) ).
fof(f433,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| nil = X0
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ~ leq(X1,hd(X0))
| ~ totalorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( leq(X1,hd(X0))
& totalorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f267]) ).
fof(f267,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP0(X1,X0) ) ),
inference(flattening,[],[f266]) ).
fof(f266,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1544,plain,
( sP0(sK23(sK18),hd(sK18))
| ~ spl70_11 ),
inference(avatar_component_clause,[],[f1542]) ).
fof(f1553,plain,
( ~ spl70_4
| ~ spl70_5
| ~ spl70_9
| spl70_12 ),
inference(avatar_contradiction_clause,[],[f1552]) ).
fof(f1552,plain,
( $false
| ~ spl70_4
| ~ spl70_5
| ~ spl70_9
| spl70_12 ),
inference(subsumption_resolution,[],[f1551,f1096]) ).
fof(f1551,plain,
( ~ ssItem(hd(sK18))
| ~ spl70_9
| spl70_12 ),
inference(subsumption_resolution,[],[f1550,f1452]) ).
fof(f1550,plain,
( ~ ssList(sK23(sK18))
| ~ ssItem(hd(sK18))
| spl70_12 ),
inference(resolution,[],[f1548,f437]) ).
fof(f437,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0] :
( ! [X1] :
( sP1(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f137,f224,f223]) ).
fof(f224,plain,
! [X0,X1] :
( ( totalorderedP(cons(X0,X1))
<=> sP0(X1,X0) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ( totalorderedP(cons(X0,X1))
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( totalorderedP(cons(X0,X1))
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax67) ).
fof(f1548,plain,
( ~ sP1(hd(sK18),sK23(sK18))
| spl70_12 ),
inference(avatar_component_clause,[],[f1546]) ).
fof(f1546,plain,
( spl70_12
<=> sP1(hd(sK18),sK23(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_12])]) ).
fof(f1549,plain,
( spl70_11
| ~ spl70_12
| spl70_2
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9 ),
inference(avatar_split_clause,[],[f1538,f1451,f1371,f896,f810,f1546,f1542]) ).
fof(f1538,plain,
( ~ sP1(hd(sK18),sK23(sK18))
| sP0(sK23(sK18),hd(sK18))
| spl70_2
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9 ),
inference(forward_demodulation,[],[f1537,f1497]) ).
fof(f1537,plain,
( sP0(sK23(sK18),hd(sK18))
| ~ sP1(sK24(sK18),sK23(sK18))
| spl70_2
| ~ spl70_5
| ~ spl70_7
| ~ spl70_9 ),
inference(forward_demodulation,[],[f1366,f1497]) ).
fof(f1366,plain,
( sP0(sK23(sK18),sK24(sK18))
| ~ sP1(sK24(sK18),sK23(sK18))
| spl70_2
| ~ spl70_5 ),
inference(subsumption_resolution,[],[f1358,f981]) ).
fof(f981,plain,
( totalorderedP(sK18)
| ~ spl70_5 ),
inference(subsumption_resolution,[],[f883,f897]) ).
fof(f883,plain,
( totalorderedP(sK18)
| ~ ssItem(sK27(sK18)) ),
inference(superposition,[],[f404,f875]) ).
fof(f404,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
fof(f1358,plain,
( ~ totalorderedP(sK18)
| sP0(sK23(sK18),sK24(sK18))
| ~ sP1(sK24(sK18),sK23(sK18))
| spl70_2 ),
inference(superposition,[],[f430,f1353]) ).
fof(f430,plain,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
! [X0,X1] :
( ( ( totalorderedP(cons(X0,X1))
| ~ sP0(X1,X0) )
& ( sP0(X1,X0)
| ~ totalorderedP(cons(X0,X1)) ) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f224]) ).
fof(f1462,plain,
( spl70_2
| spl70_9 ),
inference(avatar_contradiction_clause,[],[f1461]) ).
fof(f1461,plain,
( $false
| spl70_2
| spl70_9 ),
inference(subsumption_resolution,[],[f1460,f375]) ).
fof(f1460,plain,
( ~ ssList(sK18)
| spl70_2
| spl70_9 ),
inference(subsumption_resolution,[],[f1459,f811]) ).
fof(f1459,plain,
( nil = sK18
| ~ ssList(sK18)
| spl70_9 ),
inference(resolution,[],[f1453,f457]) ).
fof(f457,plain,
! [X0] :
( ssList(sK23(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f1453,plain,
( ~ ssList(sK23(sK18))
| spl70_9 ),
inference(avatar_component_clause,[],[f1451]) ).
fof(f1458,plain,
( ~ spl70_9
| spl70_10
| spl70_2
| ~ spl70_7 ),
inference(avatar_split_clause,[],[f1449,f1371,f810,f1455,f1451]) ).
fof(f1449,plain,
( memberP(sK18,sK24(sK18))
| ~ ssList(sK23(sK18))
| spl70_2
| ~ spl70_7 ),
inference(subsumption_resolution,[],[f1365,f1372]) ).
fof(f1365,plain,
( memberP(sK18,sK24(sK18))
| ~ ssList(sK23(sK18))
| ~ ssItem(sK24(sK18))
| spl70_2 ),
inference(superposition,[],[f632,f1353]) ).
fof(f632,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f604]) ).
fof(f604,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f425]) ).
fof(f425,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f1382,plain,
( spl70_2
| spl70_7 ),
inference(avatar_contradiction_clause,[],[f1381]) ).
fof(f1381,plain,
( $false
| spl70_2
| spl70_7 ),
inference(subsumption_resolution,[],[f1380,f375]) ).
fof(f1380,plain,
( ~ ssList(sK18)
| spl70_2
| spl70_7 ),
inference(subsumption_resolution,[],[f1379,f811]) ).
fof(f1379,plain,
( nil = sK18
| ~ ssList(sK18)
| spl70_7 ),
inference(resolution,[],[f1373,f458]) ).
fof(f458,plain,
! [X0] :
( ssItem(sK24(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f1373,plain,
( ~ ssItem(sK24(sK18))
| spl70_7 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f1378,plain,
( ~ spl70_7
| ~ spl70_8
| spl70_2 ),
inference(avatar_split_clause,[],[f1369,f810,f1375,f1371]) ).
fof(f1375,plain,
( spl70_8
<=> sK18 = sK23(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_8])]) ).
fof(f1369,plain,
( sK18 != sK23(sK18)
| ~ ssItem(sK24(sK18))
| spl70_2 ),
inference(subsumption_resolution,[],[f1368,f375]) ).
fof(f1368,plain,
( sK18 != sK23(sK18)
| ~ ssItem(sK24(sK18))
| ~ ssList(sK18)
| spl70_2 ),
inference(inner_rewriting,[],[f1364]) ).
fof(f1364,plain,
( sK18 != sK23(sK18)
| ~ ssItem(sK24(sK18))
| ~ ssList(sK23(sK18))
| spl70_2 ),
inference(superposition,[],[f557,f1353]) ).
fof(f557,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(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/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f907,plain,
spl70_5,
inference(avatar_contradiction_clause,[],[f906]) ).
fof(f906,plain,
( $false
| spl70_5 ),
inference(subsumption_resolution,[],[f905,f375]) ).
fof(f905,plain,
( ~ ssList(sK18)
| spl70_5 ),
inference(subsumption_resolution,[],[f904,f639]) ).
fof(f639,plain,
singletonP(sK18),
inference(superposition,[],[f381,f380]) ).
fof(f904,plain,
( ~ singletonP(sK18)
| ~ ssList(sK18)
| spl70_5 ),
inference(resolution,[],[f898,f467]) ).
fof(f467,plain,
! [X0] :
( ssItem(sK27(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f898,plain,
( ~ ssItem(sK27(sK18))
| spl70_5 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f903,plain,
( ~ spl70_5
| spl70_6 ),
inference(avatar_split_clause,[],[f877,f900,f896]) ).
fof(f900,plain,
( spl70_6
<=> equalelemsP(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_6])]) ).
fof(f877,plain,
( equalelemsP(sK18)
| ~ ssItem(sK27(sK18)) ),
inference(superposition,[],[f398,f875]) ).
fof(f398,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( ssItem(X0)
=> equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax73) ).
fof(f830,plain,
( spl70_3
| spl70_4 ),
inference(avatar_split_clause,[],[f775,f827,f823]) ).
fof(f823,plain,
( spl70_3
<=> hd(sK19) = sK25(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_3])]) ).
fof(f775,plain,
( nil = sK19
| hd(sK19) = sK25(sK19) ),
inference(resolution,[],[f464,f376]) ).
fof(f820,plain,
~ spl70_2,
inference(avatar_contradiction_clause,[],[f819]) ).
fof(f819,plain,
( $false
| ~ spl70_2 ),
inference(subsumption_resolution,[],[f817,f385]) ).
fof(f385,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
fof(f817,plain,
( singletonP(nil)
| ~ spl70_2 ),
inference(superposition,[],[f639,f812]) ).
fof(f812,plain,
( nil = sK18
| ~ spl70_2 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f813,plain,
( spl70_1
| spl70_2 ),
inference(avatar_split_clause,[],[f774,f810,f806]) ).
fof(f806,plain,
( spl70_1
<=> hd(sK18) = sK25(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_1])]) ).
fof(f774,plain,
( nil = sK18
| hd(sK18) = sK25(sK18) ),
inference(resolution,[],[f464,f375]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC200+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 04:34:44 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (8035)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (8036)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39 % (8038)WARNING: value z3 for option sas not known
% 0.21/0.39 % (8037)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39 % (8039)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39 % (8040)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_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.39 % (8038)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39 % (8041)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.39 % (8042)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.41 TRYING [3]
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.44 TRYING [3]
% 0.21/0.48 TRYING [4]
% 0.21/0.50 TRYING [4]
% 1.35/0.60 TRYING [5]
% 1.35/0.60 % (8038)First to succeed.
% 1.35/0.61 % (8038)Refutation found. Thanks to Tanya!
% 1.35/0.61 % SZS status Theorem for theBenchmark
% 1.35/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.61 % (8038)------------------------------
% 1.35/0.61 % (8038)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.35/0.61 % (8038)Termination reason: Refutation
% 1.35/0.61
% 1.35/0.61 % (8038)Memory used [KB]: 3485
% 1.35/0.61 % (8038)Time elapsed: 0.215 s
% 1.35/0.61 % (8038)Instructions burned: 336 (million)
% 1.35/0.61 % (8038)------------------------------
% 1.35/0.61 % (8038)------------------------------
% 1.35/0.61 % (8035)Success in time 0.246 s
%------------------------------------------------------------------------------