TSTP Solution File: DAT086_1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : DAT086_1 : TPTP v8.2.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 05:51:51 EDT 2024
% Result : Theorem 0.22s 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 39
% Syntax : Number of formulae : 121 ( 25 unt; 16 typ; 0 def)
% Number of atoms : 280 ( 47 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 258 ( 83 ~; 146 |; 13 &)
% ( 12 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 372 ( 118 atm; 29 fun; 122 num; 103 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 25 ( 14 >; 11 *; 0 +; 0 <<)
% Number of predicates : 16 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 21 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 170 ( 164 !; 6 ?; 170 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
list: $tType ).
tff(func_def_0,type,
nil: list ).
tff(func_def_1,type,
cons: ( $int * list ) > list ).
tff(func_def_2,type,
head: list > $int ).
tff(func_def_3,type,
tail: list > list ).
tff(func_def_5,type,
length: list > $int ).
tff(func_def_8,type,
count: ( $int * list ) > $int ).
tff(func_def_9,type,
append: ( list * list ) > list ).
tff(func_def_13,type,
sK0: ( $int * list ) > $int ).
tff(func_def_14,type,
sK1: ( $int * list ) > list ).
tff(func_def_15,type,
sK2: ( $int * list ) > $int ).
tff(func_def_16,type,
sK3: ( $int * list ) > list ).
tff(func_def_17,type,
sK4: ( $int * list ) > $int ).
tff(func_def_18,type,
sK5: ( $int * list ) > list ).
tff(pred_def_1,type,
in: ( $int * list ) > $o ).
tff(pred_def_2,type,
inRange: ( $int * list ) > $o ).
tff(f1692,plain,
$false,
inference(avatar_smt_refutation,[],[f78,f260,f490,f769,f1599,f1633,f1682,f1691]) ).
tff(f1691,plain,
~ spl6_9,
inference(avatar_contradiction_clause,[],[f1687]) ).
tff(f1687,plain,
( $false
| ~ spl6_9 ),
inference(resolution,[],[f1632,f25]) ).
tff(f25,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_150,[]) ).
tff(f1632,plain,
( ! [X0: $int] : $less(X0,3)
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f1631]) ).
tff(f1631,plain,
( spl6_9
<=> ! [X0: $int] : $less(X0,3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
tff(f1682,plain,
( ~ spl6_1
| ~ spl6_8 ),
inference(avatar_contradiction_clause,[],[f1681]) ).
tff(f1681,plain,
( $false
| ~ spl6_1
| ~ spl6_8 ),
inference(evaluation,[],[f1678]) ).
tff(f1678,plain,
( $less($sum(4,0),4)
| ~ spl6_1
| ~ spl6_8 ),
inference(superposition,[],[f1664,f77]) ).
tff(f77,plain,
( ( 0 = length(nil) )
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f76]) ).
tff(f76,plain,
( spl6_1
<=> ( 0 = length(nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
tff(f1664,plain,
( ! [X1: list] : $less($sum(4,length(X1)),4)
| ~ spl6_8 ),
inference(evaluation,[],[f1663]) ).
tff(f1663,plain,
( ! [X1: list] : $less($sum(3,$sum(1,length(X1))),4)
| ~ spl6_8 ),
inference(superposition,[],[f1659,f65]) ).
tff(f65,plain,
! [X0: list,X1: $int] : ( length(cons(X1,X0)) = $sum(1,length(X0)) ),
inference(cnf_transformation,[],[f38]) ).
tff(f38,plain,
! [X0: list,X1: $int] : ( length(cons(X1,X0)) = $sum(1,length(X0)) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X4: list,X3: $int] : ( length(cons(X3,X4)) = $sum(1,length(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f1659,plain,
( ! [X1: list] : $less($sum(3,length(X1)),4)
| ~ spl6_8 ),
inference(evaluation,[],[f1658]) ).
tff(f1658,plain,
( ! [X1: list] : $less($sum(2,$sum(1,length(X1))),4)
| ~ spl6_8 ),
inference(superposition,[],[f1654,f65]) ).
tff(f1654,plain,
( ! [X1: list] : $less($sum(2,length(X1)),4)
| ~ spl6_8 ),
inference(evaluation,[],[f1652]) ).
tff(f1652,plain,
( ! [X1: list] : $less($sum(1,$sum(1,length(X1))),4)
| ~ spl6_8 ),
inference(superposition,[],[f1637,f65]) ).
tff(f1637,plain,
( ! [X1: list] : $less($sum(1,length(X1)),4)
| ~ spl6_8 ),
inference(superposition,[],[f1629,f65]) ).
tff(f1629,plain,
( ! [X1: list] : $less(length(X1),4)
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f1628]) ).
tff(f1628,plain,
( spl6_8
<=> ! [X1: list] : $less(length(X1),4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
tff(f1633,plain,
( spl6_8
| spl6_9 ),
inference(avatar_split_clause,[],[f1572,f1631,f1628]) ).
tff(f1572,plain,
! [X0: $int,X1: list] :
( $less(X0,3)
| $less(length(X1),4) ),
inference(forward_demodulation,[],[f1571,f51]) ).
tff(f51,plain,
! [X0: list,X1: $int] : ( head(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f37]) ).
tff(f37,plain,
! [X0: list,X1: $int] : ( head(cons(X1,X0)) = X1 ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
! [X1: list,X0: $int] : ( head(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f1571,plain,
! [X0: $int,X1: list] :
( $less(head(cons(X0,X1)),3)
| $less(length(X1),4) ),
inference(subsumption_resolution,[],[f1554,f64]) ).
tff(f64,plain,
! [X0: list,X1: $int] : ( nil != cons(X1,X0) ),
inference(cnf_transformation,[],[f42]) ).
tff(f42,plain,
! [X1: $int,X0: list] : ( nil != cons(X1,X0) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: list,X0: $int] : ( cons(X0,X1) != nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f1554,plain,
! [X0: $int,X1: list] :
( ( cons(X0,X1) = nil )
| $less(length(X1),4)
| $less(head(cons(X0,X1)),3) ),
inference(resolution,[],[f1484,f231]) ).
tff(f231,plain,
! [X2: $int,X0: list,X1: $int] :
( inRange(X1,cons(X2,X0))
| $less(length(X0),4)
| $less(X1,3) ),
inference(resolution,[],[f147,f99]) ).
tff(f99,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f94,f20]) ).
tff(f20,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_143,[]) ).
tff(f94,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f29,f25]) ).
tff(f29,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_155,[]) ).
tff(f147,plain,
! [X2: $int,X3: $int,X0: $int,X1: list] :
( ~ $less(X2,$sum(1,length(X1)))
| $less(X2,4)
| $less(X3,3)
| inRange(X3,cons(X0,X1)) ),
inference(superposition,[],[f136,f65]) ).
tff(f136,plain,
! [X2: $int,X0: $int,X1: list] :
( ~ $less(X0,length(X1))
| $less(X2,3)
| inRange(X2,X1)
| $less(X0,4) ),
inference(resolution,[],[f26,f68]) ).
tff(f68,plain,
! [X0: $int,X1: list] :
( $less(length(X1),4)
| inRange(X0,X1)
| $less(X0,3) ),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
! [X1: list,X0: $int] :
( inRange(X0,X1)
| $less(length(X1),4)
| $less(X0,3) ),
inference(flattening,[],[f46]) ).
tff(f46,plain,
! [X1: list,X0: $int] :
( inRange(X0,X1)
| $less(X0,3)
| $less(length(X1),4) ),
inference(ennf_transformation,[],[f39]) ).
tff(f39,plain,
! [X1: list,X0: $int] :
( ( ~ $less(X0,3)
& ~ $less(length(X1),4) )
=> inRange(X0,X1) ),
inference(rectify,[],[f19]) ).
tff(f19,plain,
! [X5: $int,X1: list] :
( ( ~ $less(length(X1),4)
& ~ $less(X5,3) )
=> inRange(X5,X1) ),
inference(theory_normalization,[],[f16]) ).
tff(f16,negated_conjecture,
~ ~ ! [X5: $int,X1: list] :
( ( $greatereq(length(X1),4)
& $greatereq(X5,3) )
=> inRange(X5,X1) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
~ ! [X5: $int,X1: list] :
( ( $greatereq(length(X1),4)
& $greatereq(X5,3) )
=> inRange(X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f26,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| $less(X0,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_151,[]) ).
tff(f1484,plain,
! [X0: list] :
( ~ inRange(head(X0),X0)
| ( nil = X0 ) ),
inference(resolution,[],[f1456,f25]) ).
tff(f1456,plain,
! [X0: $int,X1: list] :
( $less(head(X1),X0)
| ( nil = X1 )
| ~ inRange(X0,X1) ),
inference(backward_subsumption_demodulation,[],[f53,f288]) ).
tff(f288,plain,
! [X0: $int,X1: list] :
( ( head(X1) = sK0(X0,X1) )
| ~ inRange(X0,X1)
| ( nil = X1 ) ),
inference(superposition,[],[f51,f55]) ).
tff(f55,plain,
! [X0: $int,X1: list] :
( ( cons(sK0(X0,X1),sK1(X0,X1)) = X1 )
| ~ inRange(X0,X1)
| ( nil = X1 ) ),
inference(cnf_transformation,[],[f33]) ).
tff(f33,plain,
! [X1: list,X0: $int] :
( ( ? [X3: $int,X2: list] :
( inRange(X0,X2)
& ( cons(X3,X2) = X1 )
& ~ $less(X3,0)
& $less(X3,X0) )
| ( nil = X1 ) )
<=> inRange(X0,X1) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
! [X5: $int,X1: list] :
( inRange(X5,X1)
<=> ( ( nil = X1 )
| ? [X4: list,X0: $int] :
( inRange(X5,X4)
& ~ $less(X0,0)
& ( cons(X0,X4) = X1 )
& $less(X0,X5) ) ) ),
inference(theory_normalization,[],[f6]) ).
tff(f6,axiom,
! [X5: $int,X1: list] :
( inRange(X5,X1)
<=> ( ( nil = X1 )
| ? [X4: list,X0: $int] :
( inRange(X5,X4)
& $lesseq(0,X0)
& ( cons(X0,X4) = X1 )
& $less(X0,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f53,plain,
! [X0: $int,X1: list] :
( $less(sK0(X0,X1),X0)
| ( nil = X1 )
| ~ inRange(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
tff(f1599,plain,
~ spl6_2,
inference(avatar_contradiction_clause,[],[f1593]) ).
tff(f1593,plain,
( $false
| ~ spl6_2 ),
inference(resolution,[],[f1568,f25]) ).
tff(f1568,plain,
( ! [X0: $int] : $less(X0,3)
| ~ spl6_2 ),
inference(forward_demodulation,[],[f1567,f51]) ).
tff(f1567,plain,
( ! [X0: $int] : $less(head(cons(X0,nil)),3)
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f1563,f64]) ).
tff(f1563,plain,
( ! [X0: $int] :
( ( nil = cons(X0,nil) )
| $less(head(cons(X0,nil)),3) )
| ~ spl6_2 ),
inference(resolution,[],[f1484,f256]) ).
tff(f256,plain,
( ! [X2: $int,X1: $int] :
( inRange(X1,cons(X2,nil))
| $less(X1,3) )
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f255]) ).
tff(f255,plain,
( spl6_2
<=> ! [X2: $int,X1: $int] :
( $less(X1,3)
| inRange(X1,cons(X2,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
tff(f769,plain,
( spl6_6
| spl6_7
| ~ spl6_1
| ~ spl6_2
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f694,f485,f255,f76,f767,f764]) ).
tff(f764,plain,
( spl6_6
<=> ! [X1: $int] :
( $less(X1,3)
| ~ $less(X1,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
tff(f767,plain,
( spl6_7
<=> ! [X0: $int] : inRange(0,cons(X0,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
tff(f485,plain,
( spl6_4
<=> ! [X2: list,X1: $int] :
( inRange(X1,X2)
| $less(length(tail(X2)),0)
| $less(X1,3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
tff(f694,plain,
( ! [X0: $int,X1: $int] :
( inRange(0,cons(X0,nil))
| $less(X1,3)
| ~ $less(X1,0) )
| ~ spl6_1
| ~ spl6_2
| ~ spl6_4 ),
inference(superposition,[],[f692,f77]) ).
tff(f692,plain,
( ! [X2: $int,X0: $int,X1: list] :
( inRange(length(X1),cons(X0,X1))
| ~ $less(X2,length(X1))
| $less(X2,3) )
| ~ spl6_2
| ~ spl6_4 ),
inference(superposition,[],[f618,f61]) ).
tff(f61,plain,
! [X0: list,X1: $int] : ( tail(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f43]) ).
tff(f43,plain,
! [X0: list,X1: $int] : ( tail(cons(X1,X0)) = X0 ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X1: list,X0: $int] : ( tail(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f618,plain,
( ! [X0: list,X1: $int] :
( ~ $less(X1,length(tail(X0)))
| $less(X1,3)
| inRange(length(tail(X0)),X0) )
| ~ spl6_2
| ~ spl6_4 ),
inference(resolution,[],[f616,f26]) ).
tff(f616,plain,
( ! [X0: list] :
( $less(length(tail(X0)),3)
| inRange(length(tail(X0)),X0) )
| ~ spl6_2
| ~ spl6_4 ),
inference(factoring,[],[f610]) ).
tff(f610,plain,
( ! [X0: $int,X1: list] :
( $less(length(tail(X1)),3)
| $less(X0,3)
| inRange(X0,X1) )
| ~ spl6_2
| ~ spl6_4 ),
inference(subsumption_resolution,[],[f606,f64]) ).
tff(f606,plain,
( ! [X2: $int,X0: $int,X1: list] :
( ( nil = cons(X2,nil) )
| $less(length(tail(X1)),3)
| inRange(X0,X1)
| $less(X0,3) )
| ~ spl6_2
| ~ spl6_4 ),
inference(resolution,[],[f598,f256]) ).
tff(f598,plain,
( ! [X2: list,X0: $int,X1: list] :
( ~ inRange(length(tail(X1)),X2)
| $less(X0,3)
| inRange(X0,X1)
| ( nil = X2 ) )
| ~ spl6_4 ),
inference(subsumption_resolution,[],[f595,f54]) ).
tff(f54,plain,
! [X0: $int,X1: list] :
( ~ $less(sK0(X0,X1),0)
| ( nil = X1 )
| ~ inRange(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
tff(f595,plain,
( ! [X2: list,X0: $int,X1: list] :
( inRange(X0,X1)
| $less(sK0(length(tail(X1)),X2),0)
| ~ inRange(length(tail(X1)),X2)
| $less(X0,3)
| ( nil = X2 ) )
| ~ spl6_4 ),
inference(resolution,[],[f514,f53]) ).
tff(f514,plain,
( ! [X2: $int,X0: $int,X1: list] :
( ~ $less(X2,length(tail(X1)))
| inRange(X0,X1)
| $less(X2,0)
| $less(X0,3) )
| ~ spl6_4 ),
inference(resolution,[],[f486,f26]) ).
tff(f486,plain,
( ! [X2: list,X1: $int] :
( $less(length(tail(X2)),0)
| inRange(X1,X2)
| $less(X1,3) )
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f485]) ).
tff(f490,plain,
( spl6_4
| spl6_5 ),
inference(avatar_split_clause,[],[f411,f488,f485]) ).
tff(f488,plain,
( spl6_5
<=> ! [X0: $int] :
( $less(X0,4)
| $less(-1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
tff(f411,plain,
! [X2: list,X0: $int,X1: $int] :
( inRange(X1,X2)
| $less(X1,3)
| $less(X0,4)
| $less(-1,X0)
| $less(length(tail(X2)),0) ),
inference(resolution,[],[f273,f98]) ).
tff(f98,plain,
! [X0: $int] :
( $less(-1,X0)
| $less(X0,0) ),
inference(evaluation,[],[f97]) ).
tff(f97,plain,
! [X0: $int] :
( $less($uminus(1),X0)
| $less(X0,0) ),
inference(superposition,[],[f29,f80]) ).
tff(f80,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f24,f30]) ).
tff(f30,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_156,[]) ).
tff(f24,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_148,[]) ).
tff(f273,plain,
! [X2: $int,X3: $int,X0: $int,X1: list] :
( ~ $less(X3,length(tail(X1)))
| $less(X2,4)
| $less(X0,3)
| inRange(X0,X1)
| $less(X3,X2) ),
inference(resolution,[],[f271,f26]) ).
tff(f271,plain,
! [X2: $int,X0: list,X1: $int] :
( $less(length(tail(X0)),X2)
| $less(X1,3)
| inRange(X1,X0)
| $less(X2,4) ),
inference(subsumption_resolution,[],[f270,f58]) ).
tff(f58,plain,
! [X0: $int,X1: list] :
( ( nil != X1 )
| inRange(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
tff(f270,plain,
! [X2: $int,X0: list,X1: $int] :
( $less(X1,3)
| inRange(X1,X0)
| $less(length(tail(X0)),X2)
| $less(X2,4)
| ( nil = X0 ) ),
inference(superposition,[],[f232,f66]) ).
tff(f66,plain,
! [X0: list] :
( ( cons(head(X0),tail(X0)) = X0 )
| ( nil = X0 ) ),
inference(cnf_transformation,[],[f41]) ).
tff(f41,plain,
! [X0: list] :
( ( nil = X0 )
| ( cons(head(X0),tail(X0)) = X0 ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X1: list] :
( ( nil = X1 )
| ( cons(head(X1),tail(X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f232,plain,
! [X2: $int,X3: list,X0: $int,X1: $int] :
( inRange(X1,cons(X2,X3))
| $less(length(X3),X0)
| $less(X0,4)
| $less(X1,3) ),
inference(resolution,[],[f147,f95]) ).
tff(f95,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f29,f20]) ).
tff(f260,plain,
( spl6_2
| spl6_3
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f241,f76,f258,f255]) ).
tff(f258,plain,
( spl6_3
<=> ! [X0: $int] :
( $less(X0,4)
| ~ $less(X0,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
tff(f241,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(X0,4)
| $less(X1,3)
| inRange(X1,cons(X2,nil))
| ~ $less(X0,1) )
| ~ spl6_1 ),
inference(evaluation,[],[f238]) ).
tff(f238,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( inRange(X1,cons(X2,nil))
| $less(X1,3)
| $less(X0,4)
| ~ $less(X0,$sum(1,0)) )
| ~ spl6_1 ),
inference(superposition,[],[f147,f77]) ).
tff(f78,plain,
spl6_1,
inference(avatar_split_clause,[],[f49,f76]) ).
tff(f49,plain,
0 = length(nil),
inference(cnf_transformation,[],[f7]) ).
tff(f7,axiom,
0 = length(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : DAT086_1 : TPTP v8.2.0. Released v6.1.0.
% 0.11/0.12 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Jun 22 06:37:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a TF0_THM_EQU_ARI problem
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.42 % (5655)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (5658)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59848Mi)
% 0.22/0.42 % (5655)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (5659)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/34Mi)
% 0.22/0.42 % (5655)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (5660)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/8Mi)
% 0.22/0.42 % (5655)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (5661)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.22/0.42 % (5655)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (5664)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/32Mi)
% 0.22/0.42 % (5655)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (5662)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.22/0.43 % (5661)Instruction limit reached!
% 0.22/0.43 % (5661)------------------------------
% 0.22/0.43 % (5661)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43 % (5661)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43 % (5661)Termination reason: Time limit
% 0.22/0.43 % (5661)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (5661)Memory used [KB]: 823
% 0.22/0.43 % (5661)Time elapsed: 0.004 s
% 0.22/0.43 % (5661)Instructions burned: 3 (million)
% 0.22/0.43 % (5664)Refutation not found, incomplete strategy% (5664)------------------------------
% 0.22/0.43 % (5664)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43 % (5664)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43 % (5664)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43 % (5664)Memory used [KB]: 838
% 0.22/0.43 % (5664)Time elapsed: 0.005 s
% 0.22/0.43 % (5664)Instructions burned: 4 (million)
% 0.22/0.43 % (5664)------------------------------
% 0.22/0.43 % (5664)------------------------------
% 0.22/0.43 % (5655)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (5663)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.22/0.43 % (5660)Instruction limit reached!
% 0.22/0.43 % (5660)------------------------------
% 0.22/0.43 % (5660)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43 % (5660)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43 % (5660)Termination reason: Time limit
% 0.22/0.43 % (5660)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (5660)Memory used [KB]: 893
% 0.22/0.43 % (5660)Time elapsed: 0.009 s
% 0.22/0.43 % (5660)Instructions burned: 8 (million)
% 0.22/0.44 % (5663)Instruction limit reached!
% 0.22/0.44 % (5663)------------------------------
% 0.22/0.44 % (5663)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.44 % (5663)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.44 % (5663)Termination reason: Time limit
% 0.22/0.44 % (5663)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (5663)Memory used [KB]: 904
% 0.22/0.44 % (5663)Time elapsed: 0.013 s
% 0.22/0.44 % (5663)Instructions burned: 15 (million)
% 0.22/0.45 % (5659)Instruction limit reached!
% 0.22/0.45 % (5659)------------------------------
% 0.22/0.45 % (5659)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.45 % (5659)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.45 % (5659)Termination reason: Time limit
% 0.22/0.45 % (5659)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (5659)Memory used [KB]: 1149
% 0.22/0.45 % (5659)Time elapsed: 0.026 s
% 0.22/0.45 % (5659)Instructions burned: 35 (million)
% 0.22/0.45 % (5662)Instruction limit reached!
% 0.22/0.45 % (5662)------------------------------
% 0.22/0.45 % (5662)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.45 % (5662)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.45 % (5662)Termination reason: Time limit
% 0.22/0.45 % (5662)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (5662)Memory used [KB]: 1260
% 0.22/0.45 % (5662)Time elapsed: 0.027 s
% 0.22/0.45 % (5662)Instructions burned: 38 (million)
% 0.22/0.49 % (5655)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.49 % (5692)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.22/0.49 % (5655)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.49 % (5689)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.22/0.49 % (5655)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.49 % (5694)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.49 % (5694)Instruction limit reached!
% 0.22/0.49 % (5694)------------------------------
% 0.22/0.49 % (5694)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.49 % (5694)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.49 % (5694)Termination reason: Time limit
% 0.22/0.49 % (5694)Termination phase: Preprocessing 3
% 0.22/0.49
% 0.22/0.49 % (5694)Memory used [KB]: 748
% 0.22/0.49 % (5694)Time elapsed: 0.003 s
% 0.22/0.49 % (5694)Instructions burned: 2 (million)
% 0.22/0.50 % (5692)Instruction limit reached!
% 0.22/0.50 % (5692)------------------------------
% 0.22/0.50 % (5692)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.50 % (5692)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.50 % (5692)Termination reason: Time limit
% 0.22/0.50 % (5692)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (5692)Memory used [KB]: 1057
% 0.22/0.50 % (5692)Time elapsed: 0.013 s
% 0.22/0.50 % (5692)Instructions burned: 27 (million)
% 0.22/0.50 % (5655)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.50 % (5696)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.22/0.50 % (5655)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.50 % (5697)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.50 % (5689)Instruction limit reached!
% 0.22/0.50 % (5689)------------------------------
% 0.22/0.50 % (5689)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.50 % (5689)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.50 % (5689)Termination reason: Time limit
% 0.22/0.50 % (5689)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (5689)Memory used [KB]: 1114
% 0.22/0.50 % (5689)Time elapsed: 0.020 s
% 0.22/0.50 % (5689)Instructions burned: 36 (million)
% 0.22/0.50 % (5697)Instruction limit reached!
% 0.22/0.50 % (5697)------------------------------
% 0.22/0.50 % (5697)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.50 % (5697)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.50 % (5697)Termination reason: Time limit
% 0.22/0.50 % (5697)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (5697)Memory used [KB]: 925
% 0.22/0.50 % (5697)Time elapsed: 0.003 s
% 0.22/0.50 % (5697)Instructions burned: 4 (million)
% 0.22/0.51 % (5655)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51 % (5698)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.51 % (5698)Instruction limit reached!
% 0.22/0.51 % (5698)------------------------------
% 0.22/0.51 % (5698)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.51 % (5698)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.51 % (5698)Termination reason: Time limit
% 0.22/0.51 % (5698)Termination phase: Preprocessing 2
% 0.22/0.51
% 0.22/0.51 % (5698)Memory used [KB]: 744
% 0.22/0.51 % (5698)Time elapsed: 0.002 s
% 0.22/0.51 % (5698)Instructions burned: 2 (million)
% 0.22/0.52 % (5696)Instruction limit reached!
% 0.22/0.52 % (5696)------------------------------
% 0.22/0.52 % (5696)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.52 % (5696)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.52 % (5696)Termination reason: Time limit
% 0.22/0.52 % (5696)Termination phase: Saturation
% 0.22/0.52
% 0.22/0.52 % (5696)Memory used [KB]: 1219
% 0.22/0.52 % (5696)Time elapsed: 0.018 s
% 0.22/0.52 % (5696)Instructions burned: 35 (million)
% 0.22/0.53 % (5655)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.53 % (5707)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 0.22/0.53 % (5655)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.53 % (5708)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.22/0.53 % (5658)First to succeed.
% 0.22/0.54 % (5658)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5655"
% 0.22/0.54 % (5655)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.54 % (5658)Refutation found. Thanks to Tanya!
% 0.22/0.54 % SZS status Theorem for theBenchmark
% 0.22/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.54 % (5658)------------------------------
% 0.22/0.54 % (5658)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.54 % (5658)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.54 % (5658)Termination reason: Refutation
% 0.22/0.54
% 0.22/0.54 % (5658)Memory used [KB]: 1545
% 0.22/0.54 % (5658)Time elapsed: 0.117 s
% 0.22/0.54 % (5658)Instructions burned: 233 (million)
% 0.22/0.54 % (5658)------------------------------
% 0.22/0.54 % (5658)------------------------------
% 0.22/0.54 % (5655)Success in time 0.168 s
%------------------------------------------------------------------------------