TSTP Solution File: SWC015+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC015+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n014.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 : Thu Aug 31 20:55:39 EDT 2023
% Result : Theorem 0.23s 0.46s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 33
% Syntax : Number of formulae : 195 ( 11 unt; 0 def)
% Number of atoms : 867 ( 236 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 1149 ( 477 ~; 487 |; 125 &)
% ( 18 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 15 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 200 (; 159 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2639,plain,
$false,
inference(avatar_sat_refutation,[],[f585,f602,f610,f615,f647,f660,f672,f711,f1133,f1349,f1460,f2237,f2241,f2342,f2638]) ).
fof(f2638,plain,
( ~ spl51_7
| ~ spl51_11 ),
inference(avatar_contradiction_clause,[],[f2637]) ).
fof(f2637,plain,
( $false
| ~ spl51_7
| ~ spl51_11 ),
inference(subsumption_resolution,[],[f2635,f357]) ).
fof(f357,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.difphOJxKZ/Vampire---4.8_30964',ax17) ).
fof(f2635,plain,
( ~ ssList(nil)
| ~ spl51_7
| ~ spl51_11 ),
inference(resolution,[],[f2431,f575]) ).
fof(f575,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f564]) ).
fof(f564,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f509]) ).
fof(f509,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f318]) ).
fof(f318,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f199]) ).
fof(f199,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/sandbox2/tmp/tmp.difphOJxKZ/Vampire---4.8_30964',ax15) ).
fof(f2431,plain,
( neq(nil,nil)
| ~ spl51_7
| ~ spl51_11 ),
inference(superposition,[],[f606,f720]) ).
fof(f720,plain,
( nil = sK1
| ~ spl51_11 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f719,plain,
( spl51_11
<=> nil = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_11])]) ).
fof(f606,plain,
( neq(sK1,nil)
| ~ spl51_7 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f604,plain,
( spl51_7
<=> neq(sK1,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_7])]) ).
fof(f2342,plain,
( spl51_11
| ~ spl51_1
| ~ spl51_4
| ~ spl51_5
| ~ spl51_9
| ~ spl51_63
| ~ spl51_64 ),
inference(avatar_split_clause,[],[f2341,f2232,f2228,f708,f595,f591,f579,f719]) ).
fof(f579,plain,
( spl51_1
<=> ! [X4,X5] :
( app(cons(X4,nil),X5) != sK1
| ~ ssItem(X4)
| ~ ssList(X5)
| cons(X4,nil) != sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_1])]) ).
fof(f591,plain,
( spl51_4
<=> sK3 = app(sK2,tl(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_4])]) ).
fof(f595,plain,
( spl51_5
<=> ssList(tl(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_5])]) ).
fof(f708,plain,
( spl51_9
<=> hd(sK0) = hd(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_9])]) ).
fof(f2228,plain,
( spl51_63
<=> sK0 = cons(hd(sK0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_63])]) ).
fof(f2232,plain,
( spl51_64
<=> ssList(cons(hd(sK0),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_64])]) ).
fof(f2341,plain,
( nil = sK1
| ~ spl51_1
| ~ spl51_4
| ~ spl51_5
| ~ spl51_9
| ~ spl51_63
| ~ spl51_64 ),
inference(subsumption_resolution,[],[f2340,f611]) ).
fof(f611,plain,
ssList(sK1),
inference(forward_demodulation,[],[f340,f341]) ).
fof(f341,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
( ( ( ~ neq(sK3,nil)
& neq(sK1,nil) )
| ( ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != sK1
| cons(X4,nil) != sK0
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ~ neq(nil,sK3)
| app(sK2,X7) != X6
| tl(sK3) != X7
| ~ ssList(X7) )
| sK3 = X6
| ~ ssList(X6) )
& neq(sK1,nil) ) )
& sK0 = sK2
& sK1 = sK3
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f100,f227,f226,f225,f224]) ).
fof(f224,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X1
| cons(X4,nil) != X0
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ~ neq(nil,X3)
| app(X2,X7) != X6
| tl(X3) != X7
| ~ ssList(X7) )
| X3 = X6
| ~ ssList(X6) )
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X1
| cons(X4,nil) != sK0
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ~ neq(nil,X3)
| app(X2,X7) != X6
| tl(X3) != X7
| ~ ssList(X7) )
| X3 = X6
| ~ ssList(X6) )
& neq(X1,nil) ) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f225,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X1
| cons(X4,nil) != sK0
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ~ neq(nil,X3)
| app(X2,X7) != X6
| tl(X3) != X7
| ~ ssList(X7) )
| X3 = X6
| ~ ssList(X6) )
& neq(X1,nil) ) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK1,nil) )
| ( ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != sK1
| cons(X4,nil) != sK0
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ~ neq(nil,X3)
| app(X2,X7) != X6
| tl(X3) != X7
| ~ ssList(X7) )
| X3 = X6
| ~ ssList(X6) )
& neq(sK1,nil) ) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK1,nil) )
| ( ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != sK1
| cons(X4,nil) != sK0
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ~ neq(nil,X3)
| app(X2,X7) != X6
| tl(X3) != X7
| ~ ssList(X7) )
| X3 = X6
| ~ ssList(X6) )
& neq(sK1,nil) ) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK1,nil) )
| ( ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != sK1
| cons(X4,nil) != sK0
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ~ neq(nil,X3)
| app(sK2,X7) != X6
| tl(X3) != X7
| ~ ssList(X7) )
| X3 = X6
| ~ ssList(X6) )
& neq(sK1,nil) ) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f227,plain,
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK1,nil) )
| ( ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != sK1
| cons(X4,nil) != sK0
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ~ neq(nil,X3)
| app(sK2,X7) != X6
| tl(X3) != X7
| ~ ssList(X7) )
| X3 = X6
| ~ ssList(X6) )
& neq(sK1,nil) ) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
=> ( ( ( ~ neq(sK3,nil)
& neq(sK1,nil) )
| ( ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != sK1
| cons(X4,nil) != sK0
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ~ neq(nil,sK3)
| app(sK2,X7) != X6
| tl(sK3) != X7
| ~ ssList(X7) )
| sK3 = X6
| ~ ssList(X6) )
& neq(sK1,nil) ) )
& sK0 = sK2
& sK1 = sK3
& ssList(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X1
| cons(X4,nil) != X0
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ~ neq(nil,X3)
| app(X2,X7) != X6
| tl(X3) != X7
| ~ ssList(X7) )
| X3 = X6
| ~ ssList(X6) )
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X1
| cons(X4,nil) != X0
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ~ neq(nil,X3)
| app(X2,X7) != X6
| tl(X3) != X7
| ~ ssList(X7) )
| X3 = X6
| ~ ssList(X6) )
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ? [X4] :
( ? [X5] :
( app(cons(X4,nil),X5) = X1
& cons(X4,nil) = X0
& ssList(X5) )
& ssItem(X4) )
| ? [X6] :
( ? [X7] :
( neq(nil,X3)
& app(X2,X7) = X6
& tl(X3) = X7
& ssList(X7) )
& X3 != X6
& ssList(X6) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ? [X6] :
( ? [X7] :
( app(cons(X6,nil),X7) = X1
& cons(X6,nil) = X0
& ssList(X7) )
& ssItem(X6) )
| ? [X4] :
( ? [X5] :
( neq(nil,X3)
& app(X2,X5) = X4
& tl(X3) = X5
& ssList(X5) )
& X3 != X4
& ssList(X4) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ? [X6] :
( ? [X7] :
( app(cons(X6,nil),X7) = X1
& cons(X6,nil) = X0
& ssList(X7) )
& ssItem(X6) )
| ? [X4] :
( ? [X5] :
( neq(nil,X3)
& app(X2,X5) = X4
& tl(X3) = X5
& ssList(X5) )
& X3 != X4
& ssList(X4) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.difphOJxKZ/Vampire---4.8_30964',co1) ).
fof(f340,plain,
ssList(sK3),
inference(cnf_transformation,[],[f228]) ).
fof(f2340,plain,
( nil = sK1
| ~ ssList(sK1)
| ~ spl51_1
| ~ spl51_4
| ~ spl51_5
| ~ spl51_9
| ~ spl51_63
| ~ spl51_64 ),
inference(subsumption_resolution,[],[f1611,f2334]) ).
fof(f2334,plain,
( ~ ssItem(hd(sK0))
| ~ spl51_1
| ~ spl51_4
| ~ spl51_5
| ~ spl51_63
| ~ spl51_64 ),
inference(subsumption_resolution,[],[f2333,f1237]) ).
fof(f1237,plain,
( ~ singletonP(sK0)
| ~ spl51_1
| ~ spl51_4
| ~ spl51_5 ),
inference(subsumption_resolution,[],[f1236,f612]) ).
fof(f612,plain,
ssList(sK0),
inference(forward_demodulation,[],[f339,f342]) ).
fof(f342,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f228]) ).
fof(f339,plain,
ssList(sK2),
inference(cnf_transformation,[],[f228]) ).
fof(f1236,plain,
( ~ singletonP(sK0)
| ~ ssList(sK0)
| ~ spl51_1
| ~ spl51_4
| ~ spl51_5 ),
inference(subsumption_resolution,[],[f1208,f662]) ).
fof(f662,plain,
( ssList(tl(sK1))
| ~ spl51_5 ),
inference(forward_demodulation,[],[f596,f341]) ).
fof(f596,plain,
( ssList(tl(sK3))
| ~ spl51_5 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f1208,plain,
( ~ ssList(tl(sK1))
| ~ singletonP(sK0)
| ~ ssList(sK0)
| ~ spl51_1
| ~ spl51_4 ),
inference(trivial_inequality_removal,[],[f1199]) ).
fof(f1199,plain,
( sK1 != sK1
| ~ ssList(tl(sK1))
| sK0 != sK0
| ~ singletonP(sK0)
| ~ ssList(sK0)
| ~ spl51_1
| ~ spl51_4 ),
inference(superposition,[],[f634,f675]) ).
fof(f675,plain,
( sK1 = app(sK0,tl(sK1))
| ~ spl51_4 ),
inference(forward_demodulation,[],[f674,f342]) ).
fof(f674,plain,
( sK1 = app(sK2,tl(sK1))
| ~ spl51_4 ),
inference(forward_demodulation,[],[f593,f341]) ).
fof(f593,plain,
( sK3 = app(sK2,tl(sK3))
| ~ spl51_4 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f634,plain,
( ! [X0,X1] :
( app(X0,X1) != sK1
| ~ ssList(X1)
| sK0 != X0
| ~ singletonP(X0)
| ~ ssList(X0) )
| ~ spl51_1 ),
inference(subsumption_resolution,[],[f627,f425]) ).
fof(f425,plain,
! [X0] :
( ssItem(sK8(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ( cons(sK8(X0),nil) = X0
& ssItem(sK8(X0)) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f252,f253]) ).
fof(f253,plain,
! [X0] :
( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
=> ( cons(sK8(X0),nil) = X0
& ssItem(sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f251]) ).
fof(f251,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,[],[f161]) ).
fof(f161,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/tmp/tmp.difphOJxKZ/Vampire---4.8_30964',ax4) ).
fof(f627,plain,
( ! [X0,X1] :
( app(X0,X1) != sK1
| ~ ssItem(sK8(X0))
| ~ ssList(X1)
| sK0 != X0
| ~ singletonP(X0)
| ~ ssList(X0) )
| ~ spl51_1 ),
inference(superposition,[],[f580,f426]) ).
fof(f426,plain,
! [X0] :
( cons(sK8(X0),nil) = X0
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f580,plain,
( ! [X4,X5] :
( app(cons(X4,nil),X5) != sK1
| ~ ssItem(X4)
| ~ ssList(X5)
| cons(X4,nil) != sK0 )
| ~ spl51_1 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f2333,plain,
( singletonP(sK0)
| ~ ssItem(hd(sK0))
| ~ spl51_63
| ~ spl51_64 ),
inference(forward_demodulation,[],[f2242,f2230]) ).
fof(f2230,plain,
( sK0 = cons(hd(sK0),nil)
| ~ spl51_63 ),
inference(avatar_component_clause,[],[f2228]) ).
fof(f2242,plain,
( ~ ssItem(hd(sK0))
| singletonP(cons(hd(sK0),nil))
| ~ spl51_64 ),
inference(resolution,[],[f2233,f551]) ).
fof(f551,plain,
! [X1] :
( ~ ssList(cons(X1,nil))
| ~ ssItem(X1)
| singletonP(cons(X1,nil)) ),
inference(equality_resolution,[],[f427]) ).
fof(f427,plain,
! [X0,X1] :
( singletonP(X0)
| cons(X1,nil) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f2233,plain,
( ssList(cons(hd(sK0),nil))
| ~ spl51_64 ),
inference(avatar_component_clause,[],[f2232]) ).
fof(f1611,plain,
( ssItem(hd(sK0))
| nil = sK1
| ~ ssList(sK1)
| ~ spl51_9 ),
inference(superposition,[],[f418,f710]) ).
fof(f710,plain,
( hd(sK0) = hd(sK1)
| ~ spl51_9 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f418,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.difphOJxKZ/Vampire---4.8_30964',ax22) ).
fof(f2241,plain,
( ~ spl51_9
| ~ spl51_24
| spl51_64 ),
inference(avatar_contradiction_clause,[],[f2240]) ).
fof(f2240,plain,
( $false
| ~ spl51_9
| ~ spl51_24
| spl51_64 ),
inference(subsumption_resolution,[],[f2239,f357]) ).
fof(f2239,plain,
( ~ ssList(nil)
| ~ spl51_9
| ~ spl51_24
| spl51_64 ),
inference(subsumption_resolution,[],[f2238,f1609]) ).
fof(f1609,plain,
( ssItem(hd(sK0))
| ~ spl51_9
| ~ spl51_24 ),
inference(superposition,[],[f1327,f710]) ).
fof(f1327,plain,
( ssItem(hd(sK1))
| ~ spl51_24 ),
inference(avatar_component_clause,[],[f1326]) ).
fof(f1326,plain,
( spl51_24
<=> ssItem(hd(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_24])]) ).
fof(f2238,plain,
( ~ ssItem(hd(sK0))
| ~ ssList(nil)
| spl51_64 ),
inference(resolution,[],[f2234,f492]) ).
fof(f492,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,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/tmp/tmp.difphOJxKZ/Vampire---4.8_30964',ax16) ).
fof(f2234,plain,
( ~ ssList(cons(hd(sK0),nil))
| spl51_64 ),
inference(avatar_component_clause,[],[f2232]) ).
fof(f2237,plain,
( ~ spl51_64
| spl51_63
| ~ spl51_4
| ~ spl51_5
| ~ spl51_9
| spl51_11
| ~ spl51_24 ),
inference(avatar_split_clause,[],[f2236,f1326,f719,f708,f595,f591,f2228,f2232]) ).
fof(f2236,plain,
( sK0 = cons(hd(sK0),nil)
| ~ ssList(cons(hd(sK0),nil))
| ~ spl51_4
| ~ spl51_5
| ~ spl51_9
| spl51_11
| ~ spl51_24 ),
inference(subsumption_resolution,[],[f2220,f1609]) ).
fof(f2220,plain,
( sK0 = cons(hd(sK0),nil)
| ~ ssList(cons(hd(sK0),nil))
| ~ ssItem(hd(sK0))
| ~ spl51_4
| ~ spl51_5
| ~ spl51_9
| spl51_11 ),
inference(trivial_inequality_removal,[],[f2219]) ).
fof(f2219,plain,
( sK1 != sK1
| sK0 = cons(hd(sK0),nil)
| ~ ssList(cons(hd(sK0),nil))
| ~ ssItem(hd(sK0))
| ~ spl51_4
| ~ spl51_5
| ~ spl51_9
| spl51_11 ),
inference(superposition,[],[f920,f1615]) ).
fof(f1615,plain,
( sK1 = cons(hd(sK0),tl(sK1))
| ~ spl51_9
| spl51_11 ),
inference(subsumption_resolution,[],[f1614,f611]) ).
fof(f1614,plain,
( sK1 = cons(hd(sK0),tl(sK1))
| ~ ssList(sK1)
| ~ spl51_9
| spl51_11 ),
inference(subsumption_resolution,[],[f1610,f721]) ).
fof(f721,plain,
( nil != sK1
| spl51_11 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f1610,plain,
( sK1 = cons(hd(sK0),tl(sK1))
| nil = sK1
| ~ ssList(sK1)
| ~ spl51_9 ),
inference(superposition,[],[f420,f710]) ).
fof(f420,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.difphOJxKZ/Vampire---4.8_30964',ax78) ).
fof(f920,plain,
( ! [X0] :
( sK1 != cons(X0,tl(sK1))
| cons(X0,nil) = sK0
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl51_4
| ~ spl51_5 ),
inference(subsumption_resolution,[],[f913,f662]) ).
fof(f913,plain,
( ! [X0] :
( sK1 != cons(X0,tl(sK1))
| cons(X0,nil) = sK0
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(tl(sK1)) )
| ~ spl51_4
| ~ spl51_5 ),
inference(superposition,[],[f733,f497]) ).
fof(f497,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,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/tmp/tmp.difphOJxKZ/Vampire---4.8_30964',ax81) ).
fof(f733,plain,
( ! [X6] :
( sK1 != app(X6,tl(sK1))
| sK0 = X6
| ~ ssList(X6) )
| ~ spl51_4
| ~ spl51_5 ),
inference(subsumption_resolution,[],[f732,f662]) ).
fof(f732,plain,
( ! [X6] :
( sK1 != app(X6,tl(sK1))
| sK0 = X6
| ~ ssList(tl(sK1))
| ~ ssList(X6) )
| ~ spl51_4 ),
inference(subsumption_resolution,[],[f687,f612]) ).
fof(f687,plain,
( ! [X6] :
( sK1 != app(X6,tl(sK1))
| sK0 = X6
| ~ ssList(sK0)
| ~ ssList(tl(sK1))
| ~ ssList(X6) )
| ~ spl51_4 ),
inference(superposition,[],[f530,f675]) ).
fof(f530,plain,
! [X2,X0,X1] :
( app(X2,X1) != app(X0,X1)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.difphOJxKZ/Vampire---4.8_30964',ax79) ).
fof(f1460,plain,
( spl51_11
| spl51_24 ),
inference(avatar_split_clause,[],[f1459,f1326,f719]) ).
fof(f1459,plain,
( nil = sK1
| spl51_24 ),
inference(subsumption_resolution,[],[f1455,f611]) ).
fof(f1455,plain,
( nil = sK1
| ~ ssList(sK1)
| spl51_24 ),
inference(resolution,[],[f1328,f418]) ).
fof(f1328,plain,
( ~ ssItem(hd(sK1))
| spl51_24 ),
inference(avatar_component_clause,[],[f1326]) ).
fof(f1349,plain,
( ~ spl51_24
| spl51_11
| ~ spl51_15 ),
inference(avatar_split_clause,[],[f1348,f772,f719,f1326]) ).
fof(f772,plain,
( spl51_15
<=> sK1 = tl(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_15])]) ).
fof(f1348,plain,
( ~ ssItem(hd(sK1))
| spl51_11
| ~ spl51_15 ),
inference(subsumption_resolution,[],[f1323,f611]) ).
fof(f1323,plain,
( ~ ssItem(hd(sK1))
| ~ ssList(sK1)
| spl51_11
| ~ spl51_15 ),
inference(trivial_inequality_removal,[],[f1299]) ).
fof(f1299,plain,
( sK1 != sK1
| ~ ssItem(hd(sK1))
| ~ ssList(sK1)
| spl51_11
| ~ spl51_15 ),
inference(superposition,[],[f494,f1173]) ).
fof(f1173,plain,
( sK1 = cons(hd(sK1),sK1)
| spl51_11
| ~ spl51_15 ),
inference(subsumption_resolution,[],[f1172,f611]) ).
fof(f1172,plain,
( sK1 = cons(hd(sK1),sK1)
| ~ ssList(sK1)
| spl51_11
| ~ spl51_15 ),
inference(subsumption_resolution,[],[f1160,f721]) ).
fof(f1160,plain,
( sK1 = cons(hd(sK1),sK1)
| nil = sK1
| ~ ssList(sK1)
| ~ spl51_15 ),
inference(superposition,[],[f420,f774]) ).
fof(f774,plain,
( sK1 = tl(sK1)
| ~ spl51_15 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f494,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,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/tmp/tmp.difphOJxKZ/Vampire---4.8_30964',ax18) ).
fof(f1133,plain,
( spl51_15
| ~ spl51_4
| ~ spl51_5
| ~ spl51_8 ),
inference(avatar_split_clause,[],[f1132,f704,f595,f591,f772]) ).
fof(f704,plain,
( spl51_8
<=> nil = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_8])]) ).
fof(f1132,plain,
( sK1 = tl(sK1)
| ~ spl51_4
| ~ spl51_5
| ~ spl51_8 ),
inference(subsumption_resolution,[],[f1096,f662]) ).
fof(f1096,plain,
( sK1 = tl(sK1)
| ~ ssList(tl(sK1))
| ~ spl51_4
| ~ spl51_8 ),
inference(superposition,[],[f1020,f414]) ).
fof(f414,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.difphOJxKZ/Vampire---4.8_30964',ax28) ).
fof(f1020,plain,
( sK1 = app(nil,tl(sK1))
| ~ spl51_4
| ~ spl51_8 ),
inference(superposition,[],[f675,f706]) ).
fof(f706,plain,
( nil = sK0
| ~ spl51_8 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f711,plain,
( spl51_8
| spl51_9
| ~ spl51_4
| ~ spl51_5 ),
inference(avatar_split_clause,[],[f702,f595,f591,f708,f704]) ).
fof(f702,plain,
( hd(sK0) = hd(sK1)
| nil = sK0
| ~ spl51_4
| ~ spl51_5 ),
inference(subsumption_resolution,[],[f701,f612]) ).
fof(f701,plain,
( hd(sK0) = hd(sK1)
| nil = sK0
| ~ ssList(sK0)
| ~ spl51_4
| ~ spl51_5 ),
inference(subsumption_resolution,[],[f681,f662]) ).
fof(f681,plain,
( hd(sK0) = hd(sK1)
| nil = sK0
| ~ ssList(tl(sK1))
| ~ ssList(sK0)
| ~ spl51_4 ),
inference(superposition,[],[f503,f675]) ).
fof(f503,plain,
! [X0,X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(X0) = hd(app(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.difphOJxKZ/Vampire---4.8_30964',ax85) ).
fof(f672,plain,
( spl51_6
| ~ spl51_7 ),
inference(avatar_contradiction_clause,[],[f671]) ).
fof(f671,plain,
( $false
| spl51_6
| ~ spl51_7 ),
inference(subsumption_resolution,[],[f669,f668]) ).
fof(f668,plain,
( ~ neq(nil,nil)
| spl51_6 ),
inference(superposition,[],[f661,f666]) ).
fof(f666,plain,
( nil = sK1
| spl51_6 ),
inference(subsumption_resolution,[],[f665,f357]) ).
fof(f665,plain,
( nil = sK1
| ~ ssList(nil)
| spl51_6 ),
inference(subsumption_resolution,[],[f663,f611]) ).
fof(f663,plain,
( nil = sK1
| ~ ssList(sK1)
| ~ ssList(nil)
| spl51_6 ),
inference(resolution,[],[f661,f510]) ).
fof(f510,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f318]) ).
fof(f661,plain,
( ~ neq(nil,sK1)
| spl51_6 ),
inference(forward_demodulation,[],[f601,f341]) ).
fof(f601,plain,
( ~ neq(nil,sK3)
| spl51_6 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f599,plain,
( spl51_6
<=> neq(nil,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_6])]) ).
fof(f669,plain,
( neq(nil,nil)
| spl51_6
| ~ spl51_7 ),
inference(superposition,[],[f606,f666]) ).
fof(f660,plain,
( spl51_5
| ~ spl51_7 ),
inference(avatar_contradiction_clause,[],[f659]) ).
fof(f659,plain,
( $false
| spl51_5
| ~ spl51_7 ),
inference(subsumption_resolution,[],[f657,f357]) ).
fof(f657,plain,
( ~ ssList(nil)
| spl51_5
| ~ spl51_7 ),
inference(resolution,[],[f654,f575]) ).
fof(f654,plain,
( neq(nil,nil)
| spl51_5
| ~ spl51_7 ),
inference(superposition,[],[f606,f652]) ).
fof(f652,plain,
( nil = sK1
| spl51_5 ),
inference(subsumption_resolution,[],[f651,f611]) ).
fof(f651,plain,
( nil = sK1
| ~ ssList(sK1)
| spl51_5 ),
inference(resolution,[],[f648,f419]) ).
fof(f419,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.difphOJxKZ/Vampire---4.8_30964',ax24) ).
fof(f648,plain,
( ~ ssList(tl(sK1))
| spl51_5 ),
inference(forward_demodulation,[],[f597,f341]) ).
fof(f597,plain,
( ~ ssList(tl(sK3))
| spl51_5 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f647,plain,
( spl51_3
| ~ spl51_7 ),
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f646,plain,
( $false
| spl51_3
| ~ spl51_7 ),
inference(subsumption_resolution,[],[f644,f357]) ).
fof(f644,plain,
( ~ ssList(nil)
| spl51_3
| ~ spl51_7 ),
inference(resolution,[],[f625,f575]) ).
fof(f625,plain,
( neq(nil,nil)
| spl51_3
| ~ spl51_7 ),
inference(superposition,[],[f606,f622]) ).
fof(f622,plain,
( nil = sK1
| spl51_3 ),
inference(subsumption_resolution,[],[f621,f611]) ).
fof(f621,plain,
( nil = sK1
| ~ ssList(sK1)
| spl51_3 ),
inference(resolution,[],[f620,f419]) ).
fof(f620,plain,
( ~ ssList(tl(sK1))
| spl51_3 ),
inference(subsumption_resolution,[],[f619,f612]) ).
fof(f619,plain,
( ~ ssList(tl(sK1))
| ~ ssList(sK0)
| spl51_3 ),
inference(resolution,[],[f617,f502]) ).
fof(f502,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,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/tmp/tmp.difphOJxKZ/Vampire---4.8_30964',ax26) ).
fof(f617,plain,
( ~ ssList(app(sK0,tl(sK1)))
| spl51_3 ),
inference(forward_demodulation,[],[f616,f342]) ).
fof(f616,plain,
( ~ ssList(app(sK2,tl(sK1)))
| spl51_3 ),
inference(forward_demodulation,[],[f589,f341]) ).
fof(f589,plain,
( ~ ssList(app(sK2,tl(sK3)))
| spl51_3 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f587,plain,
( spl51_3
<=> ssList(app(sK2,tl(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_3])]) ).
fof(f615,plain,
( spl51_2
| ~ spl51_7 ),
inference(avatar_contradiction_clause,[],[f614]) ).
fof(f614,plain,
( $false
| spl51_2
| ~ spl51_7 ),
inference(subsumption_resolution,[],[f613,f606]) ).
fof(f613,plain,
( ~ neq(sK1,nil)
| spl51_2 ),
inference(forward_demodulation,[],[f584,f341]) ).
fof(f584,plain,
( ~ neq(sK3,nil)
| spl51_2 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f582,plain,
( spl51_2
<=> neq(sK3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_2])]) ).
fof(f610,plain,
spl51_7,
inference(avatar_split_clause,[],[f577,f604]) ).
fof(f577,plain,
neq(sK1,nil),
inference(duplicate_literal_removal,[],[f343]) ).
fof(f343,plain,
( neq(sK1,nil)
| neq(sK1,nil) ),
inference(cnf_transformation,[],[f228]) ).
fof(f602,plain,
( ~ spl51_3
| spl51_4
| ~ spl51_5
| ~ spl51_6
| ~ spl51_2 ),
inference(avatar_split_clause,[],[f540,f582,f599,f595,f591,f587]) ).
fof(f540,plain,
( ~ neq(sK3,nil)
| ~ neq(nil,sK3)
| ~ ssList(tl(sK3))
| sK3 = app(sK2,tl(sK3))
| ~ ssList(app(sK2,tl(sK3))) ),
inference(equality_resolution,[],[f539]) ).
fof(f539,plain,
! [X7] :
( ~ neq(sK3,nil)
| ~ neq(nil,sK3)
| tl(sK3) != X7
| ~ ssList(X7)
| app(sK2,X7) = sK3
| ~ ssList(app(sK2,X7)) ),
inference(equality_resolution,[],[f347]) ).
fof(f347,plain,
! [X6,X7] :
( ~ neq(sK3,nil)
| ~ neq(nil,sK3)
| app(sK2,X7) != X6
| tl(sK3) != X7
| ~ ssList(X7)
| sK3 = X6
| ~ ssList(X6) ),
inference(cnf_transformation,[],[f228]) ).
fof(f585,plain,
( spl51_1
| ~ spl51_2 ),
inference(avatar_split_clause,[],[f348,f582,f579]) ).
fof(f348,plain,
! [X4,X5] :
( ~ neq(sK3,nil)
| app(cons(X4,nil),X5) != sK1
| cons(X4,nil) != sK0
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC015+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n014.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon Aug 28 14:41:46 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.23/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.difphOJxKZ/Vampire---4.8_30964
% 0.23/0.37 % (31071)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.42 % (31079)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.43 % (31074)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.43 % (31076)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.43 % (31078)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.23/0.43 % (31075)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.23/0.43 % (31077)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.43 % (31073)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.23/0.46 % (31079)First to succeed.
% 0.23/0.46 % (31079)Refutation found. Thanks to Tanya!
% 0.23/0.46 % SZS status Theorem for Vampire---4
% 0.23/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.46 % (31079)------------------------------
% 0.23/0.46 % (31079)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.46 % (31079)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.46 % (31079)Termination reason: Refutation
% 0.23/0.46
% 0.23/0.46 % (31079)Memory used [KB]: 6908
% 0.23/0.46 % (31079)Time elapsed: 0.033 s
% 0.23/0.46 % (31079)------------------------------
% 0.23/0.46 % (31079)------------------------------
% 0.23/0.46 % (31071)Success in time 0.09 s
% 0.23/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------