TSTP Solution File: SWV055+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV055+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 04:02:21 EDT 2024
% Result : Theorem 0.59s 0.78s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of formulae : 87 ( 17 unt; 0 def)
% Number of atoms : 289 ( 53 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 316 ( 114 ~; 104 |; 72 &)
% ( 10 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-3 aty)
% Number of variables : 84 ( 62 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1299,plain,
$false,
inference(avatar_sat_refutation,[],[f244,f249,f262,f267,f272,f273,f274,f299,f1297]) ).
fof(f1297,plain,
( ~ spl6_3
| ~ spl6_4 ),
inference(avatar_contradiction_clause,[],[f1296]) ).
fof(f1296,plain,
( $false
| ~ spl6_3
| ~ spl6_4 ),
inference(subsumption_resolution,[],[f1295,f189]) ).
fof(f189,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.0T8s7OcPXz/Vampire---4.8_31368',irreflexivity_gt) ).
fof(f1295,plain,
( gt(n1,n1)
| ~ spl6_3
| ~ spl6_4 ),
inference(forward_demodulation,[],[f1274,f170]) ).
fof(f170,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox/tmp/tmp.0T8s7OcPXz/Vampire---4.8_31368',successor_1) ).
fof(f1274,plain,
( gt(n1,succ(n0))
| ~ spl6_3
| ~ spl6_4 ),
inference(backward_demodulation,[],[f820,f1262]) ).
fof(f1262,plain,
( n0 = sK1
| ~ spl6_3
| ~ spl6_4 ),
inference(subsumption_resolution,[],[f1253,f248]) ).
fof(f248,plain,
( leq(n0,sK1)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl6_4
<=> leq(n0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f1253,plain,
( ~ leq(n0,sK1)
| n0 = sK1
| ~ spl6_3 ),
inference(resolution,[],[f432,f352]) ).
fof(f352,plain,
( gt(n0,sK1)
| ~ spl6_3 ),
inference(forward_demodulation,[],[f349,f199]) ).
fof(f199,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox/tmp/tmp.0T8s7OcPXz/Vampire---4.8_31368',succ_tptp_minus_1) ).
fof(f349,plain,
( gt(succ(tptp_minus_1),sK1)
| ~ spl6_3 ),
inference(resolution,[],[f203,f320]) ).
fof(f320,plain,
( leq(sK1,tptp_minus_1)
| ~ spl6_3 ),
inference(backward_demodulation,[],[f243,f315]) ).
fof(f315,plain,
tptp_minus_1 = minus(n0,n1),
inference(superposition,[],[f227,f199]) ).
fof(f227,plain,
! [X0] : minus(succ(X0),n1) = X0,
inference(definition_unfolding,[],[f223,f181]) ).
fof(f181,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/tmp/tmp.0T8s7OcPXz/Vampire---4.8_31368',pred_minus_1) ).
fof(f223,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox/tmp/tmp.0T8s7OcPXz/Vampire---4.8_31368',pred_succ) ).
fof(f243,plain,
( leq(sK1,minus(n0,n1))
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl6_3
<=> leq(sK1,minus(n0,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f203,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ gt(succ(X1),X0) )
& ( gt(succ(X1),X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox/tmp/tmp.0T8s7OcPXz/Vampire---4.8_31368',leq_succ_gt_equiv) ).
fof(f432,plain,
! [X0] :
( ~ gt(n0,X0)
| ~ leq(n0,X0)
| n0 = X0 ),
inference(resolution,[],[f157,f159]) ).
fof(f159,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.0T8s7OcPXz/Vampire---4.8_31368',leq_gt1) ).
fof(f157,plain,
! [X0] :
( ~ leq(X0,n0)
| n0 = X0
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox/tmp/tmp.0T8s7OcPXz/Vampire---4.8_31368',finite_domain_0) ).
fof(f820,plain,
( gt(n1,succ(sK1))
| ~ spl6_3 ),
inference(forward_demodulation,[],[f809,f170]) ).
fof(f809,plain,
( gt(succ(n0),succ(sK1))
| ~ spl6_3 ),
inference(resolution,[],[f405,f203]) ).
fof(f405,plain,
( leq(succ(sK1),n0)
| ~ spl6_3 ),
inference(forward_demodulation,[],[f399,f199]) ).
fof(f399,plain,
( leq(succ(sK1),succ(tptp_minus_1))
| ~ spl6_3 ),
inference(resolution,[],[f202,f320]) ).
fof(f202,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| leq(succ(X0),succ(X1)) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ( leq(succ(X0),succ(X1))
| ~ leq(X0,X1) )
& ( leq(X0,X1)
| ~ leq(succ(X0),succ(X1)) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1] :
( leq(succ(X0),succ(X1))
<=> leq(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.0T8s7OcPXz/Vampire---4.8_31368',leq_succ_succ) ).
fof(f299,plain,
( spl6_7
| ~ spl6_8
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f298,plain,
( $false
| spl6_7
| ~ spl6_8
| ~ spl6_9 ),
inference(trivial_inequality_removal,[],[f297]) ).
fof(f297,plain,
( n1 != n1
| spl6_7
| ~ spl6_8
| ~ spl6_9 ),
inference(superposition,[],[f261,f287]) ).
fof(f287,plain,
( ! [X0] : n1 = sum(n0,minus(n5,n1),a_select3(q,sK3,X0))
| ~ spl6_8
| ~ spl6_9 ),
inference(subsumption_resolution,[],[f286,f271]) ).
fof(f271,plain,
( leq(n0,sK3)
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl6_9
<=> leq(n0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f286,plain,
( ! [X0] :
( n1 = sum(n0,minus(n5,n1),a_select3(q,sK3,X0))
| ~ leq(n0,sK3) )
| ~ spl6_8 ),
inference(resolution,[],[f153,f266]) ).
fof(f266,plain,
( leq(sK3,minus(pv10,n1))
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl6_8
<=> leq(sK3,minus(pv10,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f153,plain,
! [X2,X3] :
( ~ leq(X2,minus(pv10,n1))
| n1 = sum(n0,minus(n5,n1),a_select3(q,X2,X3))
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( ( n1 != sum(n0,minus(n5,n1),a_select3(q,sK3,sK4))
& leq(sK3,minus(pv10,n1))
& leq(n0,sK3) )
| sP0
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) )
& ! [X2,X3] :
( n1 = sum(n0,minus(n5,n1),a_select3(q,X2,X3))
| ~ leq(X2,minus(pv10,n1))
| ~ leq(n0,X2) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f140,f141]) ).
fof(f141,plain,
( ? [X0,X1] :
( n1 != sum(n0,minus(n5,n1),a_select3(q,X0,X1))
& leq(X0,minus(pv10,n1))
& leq(n0,X0) )
=> ( n1 != sum(n0,minus(n5,n1),a_select3(q,sK3,sK4))
& leq(sK3,minus(pv10,n1))
& leq(n0,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
( ( ? [X0,X1] :
( n1 != sum(n0,minus(n5,n1),a_select3(q,X0,X1))
& leq(X0,minus(pv10,n1))
& leq(n0,X0) )
| sP0
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) )
& ! [X2,X3] :
( n1 = sum(n0,minus(n5,n1),a_select3(q,X2,X3))
| ~ leq(X2,minus(pv10,n1))
| ~ leq(n0,X2) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ),
inference(rectify,[],[f135]) ).
fof(f135,plain,
( ( ? [X2,X3] :
( n1 != sum(n0,minus(n5,n1),a_select3(q,X2,X3))
& leq(X2,minus(pv10,n1))
& leq(n0,X2) )
| sP0
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) )
& ! [X0,X1] :
( n1 = sum(n0,minus(n5,n1),a_select3(q,X0,X1))
| ~ leq(X0,minus(pv10,n1))
| ~ leq(n0,X0) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ),
inference(definition_folding,[],[f103,f134]) ).
fof(f134,plain,
( ? [X4,X5] :
( a_select3(q,pv10,X4) != divide(sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10))))))
& leq(X4,minus(n0,n1))
& leq(n0,X4) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f103,plain,
( ( ? [X2,X3] :
( n1 != sum(n0,minus(n5,n1),a_select3(q,X2,X3))
& leq(X2,minus(pv10,n1))
& leq(n0,X2) )
| ? [X4,X5] :
( a_select3(q,pv10,X4) != divide(sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10))))))
& leq(X4,minus(n0,n1))
& leq(n0,X4) )
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) )
& ! [X0,X1] :
( n1 = sum(n0,minus(n5,n1),a_select3(q,X0,X1))
| ~ leq(X0,minus(pv10,n1))
| ~ leq(n0,X0) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
( ( ? [X2,X3] :
( n1 != sum(n0,minus(n5,n1),a_select3(q,X2,X3))
& leq(X2,minus(pv10,n1))
& leq(n0,X2) )
| ? [X4,X5] :
( a_select3(q,pv10,X4) != divide(sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10))))))
& leq(X4,minus(n0,n1))
& leq(n0,X4) )
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) )
& ! [X0,X1] :
( n1 = sum(n0,minus(n5,n1),a_select3(q,X0,X1))
| ~ leq(X0,minus(pv10,n1))
| ~ leq(n0,X0) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ! [X0,X1] :
( ( leq(X0,minus(pv10,n1))
& leq(n0,X0) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X0,X1)) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) )
=> ( ! [X2,X3] :
( ( leq(X2,minus(pv10,n1))
& leq(n0,X2) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X2,X3)) )
& ! [X4,X5] :
( ( leq(X4,minus(n0,n1))
& leq(n0,X4) )
=> a_select3(q,pv10,X4) = divide(sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10)))))) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X13,X17] :
( ( leq(X13,minus(pv10,n1))
& leq(n0,X13) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X13,X17)) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) )
=> ( ! [X20,X21] :
( ( leq(X20,minus(pv10,n1))
& leq(n0,X20) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X20,X21)) )
& ! [X3,X19] :
( ( leq(X3,minus(n0,n1))
& leq(n0,X3) )
=> a_select3(q,pv10,X3) = divide(sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X19,n0),a_select2(x,pv10)),minus(a_select3(center,X19,n0),a_select2(x,pv10)))))) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X13,X17] :
( ( leq(X13,minus(pv10,n1))
& leq(n0,X13) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X13,X17)) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) )
=> ( ! [X20,X21] :
( ( leq(X20,minus(pv10,n1))
& leq(n0,X20) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X20,X21)) )
& ! [X3,X19] :
( ( leq(X3,minus(n0,n1))
& leq(n0,X3) )
=> a_select3(q,pv10,X3) = divide(sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X19,n0),a_select2(x,pv10)),minus(a_select3(center,X19,n0),a_select2(x,pv10)))))) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ) ),
file('/export/starexec/sandbox/tmp/tmp.0T8s7OcPXz/Vampire---4.8_31368',cl5_nebula_norm_0037) ).
fof(f261,plain,
( n1 != sum(n0,minus(n5,n1),a_select3(q,sK3,sK4))
| spl6_7 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl6_7
<=> n1 = sum(n0,minus(n5,n1),a_select3(q,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f274,plain,
spl6_5,
inference(avatar_split_clause,[],[f151,f251]) ).
fof(f251,plain,
( spl6_5
<=> leq(n0,pv10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f151,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f142]) ).
fof(f273,plain,
spl6_6,
inference(avatar_split_clause,[],[f152,f255]) ).
fof(f255,plain,
( spl6_6
<=> leq(pv10,minus(n135300,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f152,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[],[f142]) ).
fof(f272,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_1
| spl6_9 ),
inference(avatar_split_clause,[],[f154,f269,f232,f255,f251]) ).
fof(f232,plain,
( spl6_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f154,plain,
( leq(n0,sK3)
| sP0
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) ),
inference(cnf_transformation,[],[f142]) ).
fof(f267,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_1
| spl6_8 ),
inference(avatar_split_clause,[],[f155,f264,f232,f255,f251]) ).
fof(f155,plain,
( leq(sK3,minus(pv10,n1))
| sP0
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) ),
inference(cnf_transformation,[],[f142]) ).
fof(f262,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_1
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f156,f259,f232,f255,f251]) ).
fof(f156,plain,
( n1 != sum(n0,minus(n5,n1),a_select3(q,sK3,sK4))
| sP0
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) ),
inference(cnf_transformation,[],[f142]) ).
fof(f249,plain,
( ~ spl6_1
| spl6_4 ),
inference(avatar_split_clause,[],[f148,f246,f232]) ).
fof(f148,plain,
( leq(n0,sK1)
| ~ sP0 ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( a_select3(q,pv10,sK1) != divide(sqrt(times(minus(a_select3(center,sK1,n0),a_select2(x,pv10)),minus(a_select3(center,sK1,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK2,n0),a_select2(x,pv10)),minus(a_select3(center,sK2,n0),a_select2(x,pv10))))))
& leq(sK1,minus(n0,n1))
& leq(n0,sK1) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f137,f138]) ).
fof(f138,plain,
( ? [X0,X1] :
( a_select3(q,pv10,X0) != divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10))))))
& leq(X0,minus(n0,n1))
& leq(n0,X0) )
=> ( a_select3(q,pv10,sK1) != divide(sqrt(times(minus(a_select3(center,sK1,n0),a_select2(x,pv10)),minus(a_select3(center,sK1,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK2,n0),a_select2(x,pv10)),minus(a_select3(center,sK2,n0),a_select2(x,pv10))))))
& leq(sK1,minus(n0,n1))
& leq(n0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
( ? [X0,X1] :
( a_select3(q,pv10,X0) != divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10))))))
& leq(X0,minus(n0,n1))
& leq(n0,X0) )
| ~ sP0 ),
inference(rectify,[],[f136]) ).
fof(f136,plain,
( ? [X4,X5] :
( a_select3(q,pv10,X4) != divide(sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10))))))
& leq(X4,minus(n0,n1))
& leq(n0,X4) )
| ~ sP0 ),
inference(nnf_transformation,[],[f134]) ).
fof(f244,plain,
( ~ spl6_1
| spl6_3 ),
inference(avatar_split_clause,[],[f149,f241,f232]) ).
fof(f149,plain,
( leq(sK1,minus(n0,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV055+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.15/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 18:32:21 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.0T8s7OcPXz/Vampire---4.8_31368
% 0.58/0.75 % (31617)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.58/0.75 % (31611)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.75 % (31613)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (31614)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.75 % (31612)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.58/0.75 % (31615)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.75 % (31616)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75 % (31618)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.75 % (31618)Refutation not found, incomplete strategy% (31618)------------------------------
% 0.58/0.75 % (31618)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (31618)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (31618)Memory used [KB]: 1115
% 0.58/0.75 % (31618)Time elapsed: 0.005 s
% 0.58/0.75 % (31618)Instructions burned: 5 (million)
% 0.58/0.75 % (31618)------------------------------
% 0.58/0.75 % (31618)------------------------------
% 0.58/0.76 % (31619)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.76 % (31615)Instruction limit reached!
% 0.59/0.76 % (31615)------------------------------
% 0.59/0.76 % (31615)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76 % (31615)Termination reason: Unknown
% 0.59/0.76 % (31615)Termination phase: Saturation
% 0.59/0.76
% 0.59/0.76 % (31615)Memory used [KB]: 1518
% 0.59/0.76 % (31615)Time elapsed: 0.018 s
% 0.59/0.76 % (31615)Instructions burned: 34 (million)
% 0.59/0.76 % (31615)------------------------------
% 0.59/0.76 % (31615)------------------------------
% 0.59/0.77 % (31614)Instruction limit reached!
% 0.59/0.77 % (31614)------------------------------
% 0.59/0.77 % (31614)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77 % (31614)Termination reason: Unknown
% 0.59/0.77 % (31614)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (31614)Memory used [KB]: 1528
% 0.59/0.77 % (31614)Time elapsed: 0.020 s
% 0.59/0.77 % (31614)Instructions burned: 33 (million)
% 0.59/0.77 % (31614)------------------------------
% 0.59/0.77 % (31614)------------------------------
% 0.59/0.77 % (31611)Instruction limit reached!
% 0.59/0.77 % (31611)------------------------------
% 0.59/0.77 % (31611)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77 % (31611)Termination reason: Unknown
% 0.59/0.77 % (31611)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (31611)Memory used [KB]: 1306
% 0.59/0.77 % (31611)Time elapsed: 0.021 s
% 0.59/0.77 % (31611)Instructions burned: 34 (million)
% 0.59/0.77 % (31611)------------------------------
% 0.59/0.77 % (31611)------------------------------
% 0.59/0.77 % (31620)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.77 % (31621)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.59/0.77 % (31616)Instruction limit reached!
% 0.59/0.77 % (31616)------------------------------
% 0.59/0.77 % (31616)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77 % (31616)Termination reason: Unknown
% 0.59/0.77 % (31616)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (31616)Memory used [KB]: 1675
% 0.59/0.77 % (31616)Time elapsed: 0.028 s
% 0.59/0.77 % (31616)Instructions burned: 46 (million)
% 0.59/0.77 % (31616)------------------------------
% 0.59/0.77 % (31616)------------------------------
% 0.59/0.78 % (31617)Instruction limit reached!
% 0.59/0.78 % (31617)------------------------------
% 0.59/0.78 % (31617)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78 % (31617)Termination reason: Unknown
% 0.59/0.78 % (31617)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (31617)Memory used [KB]: 1898
% 0.59/0.78 % (31617)Time elapsed: 0.030 s
% 0.59/0.78 % (31617)Instructions burned: 85 (million)
% 0.59/0.78 % (31617)------------------------------
% 0.59/0.78 % (31617)------------------------------
% 0.59/0.78 % (31622)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.59/0.78 % (31612)Instruction limit reached!
% 0.59/0.78 % (31612)------------------------------
% 0.59/0.78 % (31612)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78 % (31612)Termination reason: Unknown
% 0.59/0.78 % (31612)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (31612)Memory used [KB]: 1671
% 0.59/0.78 % (31612)Time elapsed: 0.031 s
% 0.59/0.78 % (31612)Instructions burned: 52 (million)
% 0.59/0.78 % (31612)------------------------------
% 0.59/0.78 % (31612)------------------------------
% 0.59/0.78 % (31624)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.59/0.78 % (31623)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.59/0.78 % (31613)First to succeed.
% 0.59/0.78 % (31613)Refutation found. Thanks to Tanya!
% 0.59/0.78 % SZS status Theorem for Vampire---4
% 0.59/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.78 % (31613)------------------------------
% 0.59/0.78 % (31613)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78 % (31613)Termination reason: Refutation
% 0.59/0.78
% 0.59/0.78 % (31613)Memory used [KB]: 1495
% 0.59/0.78 % (31613)Time elapsed: 0.034 s
% 0.59/0.78 % (31613)Instructions burned: 54 (million)
% 0.59/0.78 % (31613)------------------------------
% 0.59/0.78 % (31613)------------------------------
% 0.59/0.78 % (31607)Success in time 0.401 s
% 0.59/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------