TSTP Solution File: SWW624_2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW624_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 17:35:41 EDT 2024
% Result : Theorem 9.96s 1.80s
% Output : Refutation 9.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 72
% Syntax : Number of formulae : 121 ( 19 unt; 57 typ; 0 def)
% Number of atoms : 131 ( 31 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 109 ( 42 ~; 32 |; 16 &)
% ( 3 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number arithmetic : 80 ( 14 atm; 22 fun; 34 num; 10 var)
% Number of types : 8 ( 6 usr; 1 ari)
% Number of type conns : 82 ( 40 >; 42 *; 0 +; 0 <<)
% Number of predicates : 13 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 51 ( 45 usr; 14 con; 0-5 aty)
% Number of variables : 132 ( 126 !; 6 ?; 132 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
tuple0: $tType ).
tff(type_def_9,type,
elt: $tType ).
tff(type_def_10,type,
list_elt: $tType ).
tff(func_def_0,type,
witness: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool1: ty ).
tff(func_def_4,type,
true: bool ).
tff(func_def_5,type,
false: bool ).
tff(func_def_6,type,
match_bool: ( ty * bool * uni * uni ) > uni ).
tff(func_def_7,type,
tuple01: ty ).
tff(func_def_8,type,
tuple02: tuple0 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
list: ty > ty ).
tff(func_def_13,type,
nil: ty > uni ).
tff(func_def_14,type,
cons: ( ty * uni * uni ) > uni ).
tff(func_def_15,type,
match_list: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_16,type,
cons_proj_1: ( ty * uni ) > uni ).
tff(func_def_17,type,
cons_proj_2: ( ty * uni ) > uni ).
tff(func_def_18,type,
length: ( ty * uni ) > $int ).
tff(func_def_21,type,
infix_plpl: ( ty * uni * uni ) > uni ).
tff(func_def_22,type,
num_occ: ( ty * uni * uni ) > $int ).
tff(func_def_23,type,
reverse: ( ty * uni ) > uni ).
tff(func_def_24,type,
elt1: ty ).
tff(func_def_25,type,
t2tb: list_elt > uni ).
tff(func_def_26,type,
tb2t: uni > list_elt ).
tff(func_def_27,type,
t2tb1: elt > uni ).
tff(func_def_28,type,
tb2t1: uni > elt ).
tff(func_def_29,type,
rev_append: ( ty * uni * uni ) > uni ).
tff(func_def_30,type,
prefix: ( ty * $int * uni ) > uni ).
tff(func_def_32,type,
abs: $int > $int ).
tff(func_def_34,type,
div: ( $int * $int ) > $int ).
tff(func_def_35,type,
mod: ( $int * $int ) > $int ).
tff(func_def_36,type,
sK1: elt ).
tff(func_def_37,type,
sK2: list_elt ).
tff(func_def_38,type,
sK3: list_elt > elt ).
tff(func_def_39,type,
sK4: list_elt > elt ).
tff(func_def_40,type,
sK5: list_elt > list_elt ).
tff(func_def_41,type,
sK6: list_elt > elt ).
tff(func_def_42,type,
sK7: ( list_elt * list_elt ) > elt ).
tff(func_def_43,type,
sK8: ( list_elt * list_elt ) > elt ).
tff(func_def_44,type,
sK9: ( list_elt * elt ) > elt ).
tff(func_def_45,type,
sK10: ( list_elt * list_elt ) > elt ).
tff(func_def_46,type,
sK11: ( list_elt * list_elt ) > elt ).
tff(func_def_47,type,
sK12: ( elt * list_elt ) > elt ).
tff(func_def_48,type,
sK13: ( ty * uni * uni ) > uni ).
tff(func_def_49,type,
sK14: ( ty * uni * uni ) > uni ).
tff(func_def_50,type,
sK15: ( ty * uni * uni ) > uni ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(pred_def_3,type,
mem: ( ty * uni * uni ) > $o ).
tff(pred_def_5,type,
permut: ( ty * uni * uni ) > $o ).
tff(pred_def_6,type,
le: ( elt * elt ) > $o ).
tff(pred_def_7,type,
sorted: list_elt > $o ).
tff(pred_def_8,type,
sP0: ( list_elt * list_elt ) > $o ).
tff(f25890,plain,
$false,
inference(avatar_sat_refutation,[],[f479,f484,f493,f25889]) ).
tff(f25889,plain,
( spl16_2
| ~ spl16_3 ),
inference(avatar_contradiction_clause,[],[f25888]) ).
tff(f25888,plain,
( $false
| spl16_2
| ~ spl16_3 ),
inference(subsumption_resolution,[],[f25877,f25846]) ).
tff(f25846,plain,
( ! [X0: uni,X1: uni] : ( num_occ(elt1,X0,cons(elt1,X1,t2tb(sK2))) = num_occ(elt1,X0,cons(elt1,X1,prefix(elt1,length(elt1,t2tb(sK2)),t2tb(sK2)))) )
| ~ spl16_3 ),
inference(resolution,[],[f483,f2115]) ).
tff(f2115,plain,
! [X2: uni,X3: uni,X0: ty,X1: uni,X4: uni] :
( ~ permut(X0,X1,X2)
| ( num_occ(X0,X3,cons(X0,X4,X1)) = num_occ(X0,X3,cons(X0,X4,X2)) ) ),
inference(resolution,[],[f453,f421]) ).
tff(f421,plain,
! [X2: uni,X0: ty,X1: uni,X4: uni] :
( ~ permut(X0,X1,X2)
| ( num_occ(X0,X4,X1) = num_occ(X0,X4,X2) ) ),
inference(cnf_transformation,[],[f316]) ).
tff(f316,plain,
! [X0: ty,X1: uni,X2: uni] :
( ( permut(X0,X1,X2)
| ( ( num_occ(X0,sK13(X0,X1,X2),X1) != num_occ(X0,sK13(X0,X1,X2),X2) )
& sort(X0,sK13(X0,X1,X2)) ) )
& ( ! [X4: uni] : ( num_occ(X0,X4,X1) = num_occ(X0,X4,X2) )
| ~ permut(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f257,f315]) ).
tff(f315,plain,
! [X0: ty,X1: uni,X2: uni] :
( ? [X3: uni] :
( ( num_occ(X0,X3,X1) != num_occ(X0,X3,X2) )
& sort(X0,X3) )
=> ( ( num_occ(X0,sK13(X0,X1,X2),X1) != num_occ(X0,sK13(X0,X1,X2),X2) )
& sort(X0,sK13(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
tff(f257,plain,
! [X0: ty,X1: uni,X2: uni] :
( ( permut(X0,X1,X2)
| ? [X3: uni] :
( ( num_occ(X0,X3,X1) != num_occ(X0,X3,X2) )
& sort(X0,X3) ) )
& ( ! [X4: uni] : ( num_occ(X0,X4,X1) = num_occ(X0,X4,X2) )
| ~ permut(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f191]) ).
tff(f191,plain,
! [X0: ty,X1: uni,X2: uni] :
( ( ! [X3: uni] :
( sort(X0,X3)
=> ( num_occ(X0,X3,X1) = num_occ(X0,X3,X2) ) )
=> permut(X0,X1,X2) )
& ( permut(X0,X1,X2)
=> ! [X4: uni] : ( num_occ(X0,X4,X1) = num_occ(X0,X4,X2) ) ) ),
inference(rectify,[],[f42]) ).
tff(f42,axiom,
! [X0: ty,X14: uni,X13: uni] :
( ( ! [X1: uni] :
( sort(X0,X1)
=> ( num_occ(X0,X1,X14) = num_occ(X0,X1,X13) ) )
=> permut(X0,X14,X13) )
& ( permut(X0,X14,X13)
=> ! [X1: uni] : ( num_occ(X0,X1,X14) = num_occ(X0,X1,X13) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permut_def) ).
tff(f453,plain,
! [X2: uni,X3: uni,X0: ty,X1: uni] :
( permut(X0,cons(X0,X1,X2),cons(X0,X1,X3))
| ~ permut(X0,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tff(f278,plain,
! [X0: ty,X1: uni,X2: uni,X3: uni] :
( permut(X0,cons(X0,X1,X2),cons(X0,X1,X3))
| ~ permut(X0,X2,X3) ),
inference(ennf_transformation,[],[f216]) ).
tff(f216,plain,
! [X0: ty,X1: uni,X2: uni,X3: uni] :
( permut(X0,X2,X3)
=> permut(X0,cons(X0,X1,X2),cons(X0,X1,X3)) ),
inference(rectify,[],[f46]) ).
tff(f46,axiom,
! [X0: ty,X1: uni,X14: uni,X13: uni] :
( permut(X0,X14,X13)
=> permut(X0,cons(X0,X1,X14),cons(X0,X1,X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permut_cons) ).
tff(f483,plain,
( permut(elt1,prefix(elt1,length(elt1,t2tb(sK2)),t2tb(sK2)),t2tb(sK2))
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f481]) ).
tff(f481,plain,
( spl16_3
<=> permut(elt1,prefix(elt1,length(elt1,t2tb(sK2)),t2tb(sK2)),t2tb(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
tff(f25877,plain,
( ( num_occ(elt1,sK13(elt1,cons(elt1,t2tb1(sK1),prefix(elt1,length(elt1,t2tb(sK2)),t2tb(sK2))),cons(elt1,t2tb1(sK1),t2tb(sK2))),cons(elt1,t2tb1(sK1),prefix(elt1,length(elt1,t2tb(sK2)),t2tb(sK2)))) != num_occ(elt1,sK13(elt1,cons(elt1,t2tb1(sK1),prefix(elt1,length(elt1,t2tb(sK2)),t2tb(sK2))),cons(elt1,t2tb1(sK1),t2tb(sK2))),cons(elt1,t2tb1(sK1),t2tb(sK2))) )
| spl16_2 ),
inference(resolution,[],[f3994,f423]) ).
tff(f423,plain,
! [X2: uni,X0: ty,X1: uni] :
( permut(X0,X1,X2)
| ( num_occ(X0,sK13(X0,X1,X2),X1) != num_occ(X0,sK13(X0,X1,X2),X2) ) ),
inference(cnf_transformation,[],[f316]) ).
tff(f3994,plain,
( ~ permut(elt1,cons(elt1,t2tb1(sK1),prefix(elt1,length(elt1,t2tb(sK2)),t2tb(sK2))),cons(elt1,t2tb1(sK1),t2tb(sK2)))
| spl16_2 ),
inference(forward_demodulation,[],[f494,f3963]) ).
tff(f3963,plain,
! [X2: uni,X3: uni,X0: ty,X1: ty,X4: uni] : ( prefix(X0,$sum(1,length(X1,X2)),cons(X0,X3,X4)) = cons(X0,X3,prefix(X0,length(X1,X2),X4)) ),
inference(evaluation,[],[f3863]) ).
tff(f3863,plain,
! [X2: uni,X3: uni,X0: ty,X1: ty,X4: uni] : ( prefix(X0,$sum(1,length(X1,X2)),cons(X0,X3,X4)) = cons(X0,X3,prefix(X0,$sum($sum(1,length(X1,X2)),-1),X4)) ),
inference(resolution,[],[f467,f557]) ).
tff(f557,plain,
! [X0: ty,X1: uni] : $less(0,$sum(1,length(X0,X1))),
inference(forward_demodulation,[],[f554,f121]) ).
tff(f121,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f554,plain,
! [X0: ty,X1: uni] : $less(0,$sum(length(X0,X1),1)),
inference(resolution,[],[f130,f352]) ).
tff(f352,plain,
! [X0: ty,X1: uni] : ~ $less(length(X0,X1),0),
inference(cnf_transformation,[],[f156]) ).
tff(f156,plain,
! [X0: ty,X1: uni] : ~ $less(length(X0,X1),0),
inference(rectify,[],[f105]) ).
tff(f105,plain,
! [X0: ty,X12: uni] : ~ $less(length(X0,X12),0),
inference(theory_normalization,[],[f21]) ).
tff(f21,axiom,
! [X0: ty,X12: uni] : $lesseq(0,length(X0,X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nonnegative) ).
tff(f130,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_147,[]) ).
tff(f467,plain,
! [X2: uni,X3: uni,X0: ty,X1: $int] :
( ~ $less(0,X1)
| ( prefix(X0,X1,cons(X0,X2,X3)) = cons(X0,X2,prefix(X0,$sum(X1,-1),X3)) ) ),
inference(evaluation,[],[f451]) ).
tff(f451,plain,
! [X2: uni,X3: uni,X0: ty,X1: $int] :
( ( prefix(X0,X1,cons(X0,X2,X3)) = cons(X0,X2,prefix(X0,$sum(X1,$uminus(1)),X3)) )
| ~ $less(0,X1) ),
inference(cnf_transformation,[],[f276]) ).
tff(f276,plain,
! [X0: ty,X1: $int,X2: uni,X3: uni] :
( ( prefix(X0,X1,cons(X0,X2,X3)) = cons(X0,X2,prefix(X0,$sum(X1,$uminus(1)),X3)) )
| ~ $less(0,X1) ),
inference(ennf_transformation,[],[f214]) ).
tff(f214,plain,
! [X0: ty,X1: $int,X2: uni,X3: uni] :
( $less(0,X1)
=> ( prefix(X0,X1,cons(X0,X2,X3)) = cons(X0,X2,prefix(X0,$sum(X1,$uminus(1)),X3)) ) ),
inference(rectify,[],[f119]) ).
tff(f119,plain,
! [X0: ty,X24: $int,X1: uni,X12: uni] :
( $less(0,X24)
=> ( prefix(X0,X24,cons(X0,X1,X12)) = cons(X0,X1,prefix(X0,$sum(X24,$uminus(1)),X12)) ) ),
inference(theory_normalization,[],[f81]) ).
tff(f81,axiom,
! [X0: ty,X24: $int,X1: uni,X12: uni] :
( $less(0,X24)
=> ( prefix(X0,X24,cons(X0,X1,X12)) = cons(X0,X1,prefix(X0,$difference(X24,1),X12)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prefix_def2) ).
tff(f494,plain,
( ~ permut(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK2))),cons(elt1,t2tb1(sK1),t2tb(sK2))),cons(elt1,t2tb1(sK1),t2tb(sK2)))
| spl16_2 ),
inference(forward_demodulation,[],[f478,f341]) ).
tff(f341,plain,
! [X2: uni,X0: ty,X1: uni] : ( length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2)) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,axiom,
! [X0: ty] :
( ! [X1: uni,X2: uni] : ( length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2)) )
& ( 0 = length(X0,nil(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def) ).
tff(f478,plain,
( ~ permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(sK1),t2tb(sK2))),cons(elt1,t2tb1(sK1),t2tb(sK2))),cons(elt1,t2tb1(sK1),t2tb(sK2)))
| spl16_2 ),
inference(avatar_component_clause,[],[f476]) ).
tff(f476,plain,
( spl16_2
<=> permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(sK1),t2tb(sK2))),cons(elt1,t2tb1(sK1),t2tb(sK2))),cons(elt1,t2tb1(sK1),t2tb(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
tff(f493,plain,
spl16_1,
inference(avatar_contradiction_clause,[],[f492]) ).
tff(f492,plain,
( $false
| spl16_1 ),
inference(subsumption_resolution,[],[f491,f351]) ).
tff(f351,plain,
! [X0: ty,X1: uni] : permut(X0,X1,X1),
inference(cnf_transformation,[],[f155]) ).
tff(f155,plain,
! [X0: ty,X1: uni] : permut(X0,X1,X1),
inference(rectify,[],[f43]) ).
tff(f43,axiom,
! [X0: ty,X12: uni] : permut(X0,X12,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permut_refl) ).
tff(f491,plain,
( ~ permut(elt1,nil(elt1),nil(elt1))
| spl16_1 ),
inference(forward_demodulation,[],[f490,f356]) ).
tff(f356,plain,
! [X0: ty,X1: uni] : ( nil(X0) = prefix(X0,0,X1) ),
inference(cnf_transformation,[],[f157]) ).
tff(f157,plain,
! [X0: ty,X1: uni] : ( nil(X0) = prefix(X0,0,X1) ),
inference(rectify,[],[f80]) ).
tff(f80,axiom,
! [X0: ty,X12: uni] : ( nil(X0) = prefix(X0,0,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prefix_def1) ).
tff(f490,plain,
( ~ permut(elt1,prefix(elt1,0,nil(elt1)),nil(elt1))
| spl16_1 ),
inference(forward_demodulation,[],[f474,f340]) ).
tff(f340,plain,
! [X0: ty] : ( 0 = length(X0,nil(X0)) ),
inference(cnf_transformation,[],[f20]) ).
tff(f474,plain,
( ~ permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1))
| spl16_1 ),
inference(avatar_component_clause,[],[f472]) ).
tff(f472,plain,
( spl16_1
<=> permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
tff(f484,plain,
( ~ spl16_1
| spl16_3 ),
inference(avatar_split_clause,[],[f323,f481,f472]) ).
tff(f323,plain,
( permut(elt1,prefix(elt1,length(elt1,t2tb(sK2)),t2tb(sK2)),t2tb(sK2))
| ~ permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
inference(cnf_transformation,[],[f291]) ).
tff(f291,plain,
( ( ~ permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(sK1),t2tb(sK2))),cons(elt1,t2tb1(sK1),t2tb(sK2))),cons(elt1,t2tb1(sK1),t2tb(sK2)))
& permut(elt1,prefix(elt1,length(elt1,t2tb(sK2)),t2tb(sK2)),t2tb(sK2)) )
| ~ permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f224,f290]) ).
tff(f290,plain,
( ? [X0: elt,X1: list_elt] :
( ~ permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1)))
& permut(elt1,prefix(elt1,length(elt1,t2tb(X1)),t2tb(X1)),t2tb(X1)) )
=> ( ~ permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(sK1),t2tb(sK2))),cons(elt1,t2tb1(sK1),t2tb(sK2))),cons(elt1,t2tb1(sK1),t2tb(sK2)))
& permut(elt1,prefix(elt1,length(elt1,t2tb(sK2)),t2tb(sK2)),t2tb(sK2)) ) ),
introduced(choice_axiom,[]) ).
tff(f224,plain,
( ? [X0: elt,X1: list_elt] :
( ~ permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1)))
& permut(elt1,prefix(elt1,length(elt1,t2tb(X1)),t2tb(X1)),t2tb(X1)) )
| ~ permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
inference(ennf_transformation,[],[f139]) ).
tff(f139,plain,
~ ( ! [X0: elt,X1: list_elt] :
( permut(elt1,prefix(elt1,length(elt1,t2tb(X1)),t2tb(X1)),t2tb(X1))
=> permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1))) )
& permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
inference(rectify,[],[f102]) ).
tff(f102,negated_conjecture,
~ ( ! [X1: elt,X2: list_elt] :
( permut(elt1,prefix(elt1,length(elt1,t2tb(X2)),t2tb(X2)),t2tb(X2))
=> permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(X1),t2tb(X2))),cons(elt1,t2tb1(X1),t2tb(X2))),cons(elt1,t2tb1(X1),t2tb(X2))) )
& permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
inference(negated_conjecture,[],[f101]) ).
tff(f101,conjecture,
( ! [X1: elt,X2: list_elt] :
( permut(elt1,prefix(elt1,length(elt1,t2tb(X2)),t2tb(X2)),t2tb(X2))
=> permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(X1),t2tb(X2))),cons(elt1,t2tb1(X1),t2tb(X2))),cons(elt1,t2tb1(X1),t2tb(X2))) )
& permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permut_prefix) ).
tff(f479,plain,
( ~ spl16_1
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f324,f476,f472]) ).
tff(f324,plain,
( ~ permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(sK1),t2tb(sK2))),cons(elt1,t2tb1(sK1),t2tb(sK2))),cons(elt1,t2tb1(sK1),t2tb(sK2)))
| ~ permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
inference(cnf_transformation,[],[f291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWW624_2 : TPTP v8.1.2. Released v6.1.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 03:01:50 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (17868)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (17872)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (17873)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)
% 0.13/0.37 % (17870)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (17875)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)
% 0.13/0.37 % (17874)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)
% 0.13/0.37 % (17869)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (17871)WARNING: value z3 for option sas not known
% 0.13/0.37 % (17871)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)
% 0.19/0.37 % (17870)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.37 % (17870)Terminated due to inappropriate strategy.
% 0.19/0.37 % (17870)------------------------------
% 0.19/0.37 % (17870)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.37 % (17870)Termination reason: Inappropriate
% 0.19/0.37
% 0.19/0.37 % (17870)Memory used [KB]: 1020
% 0.19/0.37 % (17870)Time elapsed: 0.006 s
% 0.19/0.37 % (17870)Instructions burned: 13 (million)
% 0.19/0.37 % (17870)------------------------------
% 0.19/0.37 % (17870)------------------------------
% 0.19/0.37 % (17872)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.37 % (17872)Terminated due to inappropriate strategy.
% 0.19/0.37 % (17872)------------------------------
% 0.19/0.37 % (17872)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.37 % (17872)Termination reason: Inappropriate
% 0.19/0.37
% 0.19/0.37 % (17872)Memory used [KB]: 1021
% 0.19/0.37 % (17872)Time elapsed: 0.007 s
% 0.19/0.37 % (17872)Instructions burned: 14 (million)
% 0.19/0.37 % (17872)------------------------------
% 0.19/0.37 % (17872)------------------------------
% 0.19/0.38 % (17869)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.38 % (17869)Terminated due to inappropriate strategy.
% 0.19/0.38 % (17869)------------------------------
% 0.19/0.38 % (17869)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.38 % (17869)Termination reason: Inappropriate
% 0.19/0.38
% 0.19/0.38 % (17869)Memory used [KB]: 1020
% 0.19/0.38 % (17869)Time elapsed: 0.008 s
% 0.19/0.38 % (17869)Instructions burned: 13 (million)
% 0.19/0.38 % (17869)------------------------------
% 0.19/0.38 % (17869)------------------------------
% 0.19/0.39 % (17877)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.19/0.39 % (17878)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.19/0.39 % (17876)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.19/0.40 % (17876)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.40 % (17876)Terminated due to inappropriate strategy.
% 0.19/0.40 % (17876)------------------------------
% 0.19/0.40 % (17876)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.40 % (17876)Termination reason: Inappropriate
% 0.19/0.40
% 0.19/0.40 % (17876)Memory used [KB]: 958
% 0.19/0.40 % (17876)Time elapsed: 0.007 s
% 0.19/0.40 % (17876)Instructions burned: 12 (million)
% 0.19/0.40 % (17876)------------------------------
% 0.19/0.40 % (17876)------------------------------
% 0.19/0.42 % (17879)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 9.96/1.79 % (17878)First to succeed.
% 9.96/1.80 % (17878)Refutation found. Thanks to Tanya!
% 9.96/1.80 % SZS status Theorem for theBenchmark
% 9.96/1.80 % SZS output start Proof for theBenchmark
% See solution above
% 9.96/1.80 % (17878)------------------------------
% 9.96/1.80 % (17878)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 9.96/1.80 % (17878)Termination reason: Refutation
% 9.96/1.80
% 9.96/1.80 % (17878)Memory used [KB]: 13690
% 9.96/1.80 % (17878)Time elapsed: 1.403 s
% 9.96/1.80 % (17878)Instructions burned: 3167 (million)
% 9.96/1.80 % (17878)------------------------------
% 9.96/1.80 % (17878)------------------------------
% 9.96/1.80 % (17868)Success in time 1.425 s
%------------------------------------------------------------------------------