TSTP Solution File: KLE008+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE008+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : 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 : Wed May 1 03:02:36 EDT 2024
% Result : Theorem 0.96s 0.90s
% Output : Refutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 112 ( 41 unt; 0 def)
% Number of atoms : 211 ( 76 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 167 ( 68 ~; 70 |; 9 &)
% ( 14 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 92 ( 87 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2031,plain,
$false,
inference(avatar_sat_refutation,[],[f69,f74,f77,f1661,f1668,f2026]) ).
fof(f2026,plain,
( spl7_1
| ~ spl7_2
| ~ spl7_3 ),
inference(avatar_contradiction_clause,[],[f2025]) ).
fof(f2025,plain,
( $false
| spl7_1
| ~ spl7_2
| ~ spl7_3 ),
inference(subsumption_resolution,[],[f2024,f1673]) ).
fof(f1673,plain,
( sF6 != addition(sK0,sF6)
| spl7_1 ),
inference(resolution,[],[f63,f32]) ).
fof(f32,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.t6pU9IhsvW/Vampire---4.8_3770',order) ).
fof(f63,plain,
( ~ leq(sK0,sF6)
| spl7_1 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl7_1
<=> leq(sK0,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f2024,plain,
( sF6 = addition(sK0,sF6)
| ~ spl7_2
| ~ spl7_3 ),
inference(forward_demodulation,[],[f2023,f51]) ).
fof(f51,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.t6pU9IhsvW/Vampire---4.8_3770',additive_commutativity) ).
fof(f2023,plain,
( sF6 = addition(sF6,sK0)
| ~ spl7_2
| ~ spl7_3 ),
inference(forward_demodulation,[],[f2022,f1685]) ).
fof(f1685,plain,
( sK0 = multiplication(sK2,sK0)
| ~ spl7_2 ),
inference(forward_demodulation,[],[f1678,f81]) ).
fof(f81,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f51,f41]) ).
fof(f41,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/tmp/tmp.t6pU9IhsvW/Vampire---4.8_3770',additive_identity) ).
fof(f1678,plain,
( sK0 = addition(zero,multiplication(sK2,sK0))
| ~ spl7_2 ),
inference(superposition,[],[f182,f1669]) ).
fof(f1669,plain,
( zero = multiplication(sF4,sK0)
| ~ spl7_2 ),
inference(forward_demodulation,[],[f144,f56]) ).
fof(f56,plain,
multiplication(sF4,sK0) = sF5,
introduced(function_definition,[new_symbols(definition,[sF5])]) ).
fof(f144,plain,
( zero = sF5
| ~ spl7_2 ),
inference(backward_demodulation,[],[f56,f93]) ).
fof(f93,plain,
( zero = multiplication(sF4,sK0)
| ~ spl7_2 ),
inference(forward_demodulation,[],[f91,f41]) ).
fof(f91,plain,
( zero = addition(multiplication(sF4,sK0),zero)
| ~ spl7_2 ),
inference(resolution,[],[f33,f78]) ).
fof(f78,plain,
( leq(multiplication(sF4,sK0),zero)
| ~ spl7_2 ),
inference(backward_demodulation,[],[f68,f56]) ).
fof(f68,plain,
( leq(sF5,zero)
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl7_2
<=> leq(sF5,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f33,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f182,plain,
! [X0] : addition(multiplication(sF4,X0),multiplication(sK2,X0)) = X0,
inference(forward_demodulation,[],[f180,f52]) ).
fof(f52,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.t6pU9IhsvW/Vampire---4.8_3770',multiplicative_left_identity) ).
fof(f180,plain,
! [X0] : multiplication(one,X0) = addition(multiplication(sF4,X0),multiplication(sK2,X0)),
inference(superposition,[],[f46,f102]) ).
fof(f102,plain,
one = addition(sF4,sK2),
inference(resolution,[],[f37,f80]) ).
fof(f80,plain,
complement(sK2,sF4),
inference(subsumption_resolution,[],[f79,f31]) ).
fof(f31,plain,
test(sK2),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
? [X0,X1,X2] :
( ( leq(X0,multiplication(X2,X1))
<~> ( leq(multiplication(c(X2),X0),zero)
& leq(X0,X1) ) )
& test(X2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X1,X2] :
( test(X2)
=> ( leq(X0,multiplication(X2,X1))
<=> ( leq(multiplication(c(X2),X0),zero)
& leq(X0,X1) ) ) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3,X4,X5] :
( test(X5)
=> ( leq(X3,multiplication(X5,X4))
<=> ( leq(multiplication(c(X5),X3),zero)
& leq(X3,X4) ) ) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3,X4,X5] :
( test(X5)
=> ( leq(X3,multiplication(X5,X4))
<=> ( leq(multiplication(c(X5),X3),zero)
& leq(X3,X4) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.t6pU9IhsvW/Vampire---4.8_3770',goals) ).
fof(f79,plain,
( complement(sK2,sF4)
| ~ test(sK2) ),
inference(superposition,[],[f54,f55]) ).
fof(f55,plain,
c(sK2) = sF4,
introduced(function_definition,[new_symbols(definition,[sF4])]) ).
fof(f54,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ~ test(X0)
| complement(X0,X1)
| c(X0) != X1 ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3,X4] :
( test(X3)
=> ( c(X3) = X4
<=> complement(X3,X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.t6pU9IhsvW/Vampire---4.8_3770',test_3) ).
fof(f37,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( complement(X1,X0)
<=> ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] :
( complement(X4,X3)
<=> ( one = addition(X3,X4)
& zero = multiplication(X4,X3)
& zero = multiplication(X3,X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.t6pU9IhsvW/Vampire---4.8_3770',test_2) ).
fof(f46,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.t6pU9IhsvW/Vampire---4.8_3770',left_distributivity) ).
fof(f2022,plain,
( sF6 = addition(sF6,multiplication(sK2,sK0))
| ~ spl7_3 ),
inference(forward_demodulation,[],[f1999,f51]) ).
fof(f1999,plain,
( sF6 = addition(multiplication(sK2,sK0),sF6)
| ~ spl7_3 ),
inference(superposition,[],[f1697,f57]) ).
fof(f57,plain,
multiplication(sK2,sK1) = sF6,
introduced(function_definition,[new_symbols(definition,[sF6])]) ).
fof(f1697,plain,
( ! [X0] : multiplication(X0,sK1) = addition(multiplication(X0,sK0),multiplication(X0,sK1))
| ~ spl7_3 ),
inference(superposition,[],[f47,f1674]) ).
fof(f1674,plain,
( sK1 = addition(sK0,sK1)
| ~ spl7_3 ),
inference(resolution,[],[f73,f33]) ).
fof(f73,plain,
( leq(sK0,sK1)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl7_3
<=> leq(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
fof(f47,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/tmp/tmp.t6pU9IhsvW/Vampire---4.8_3770',right_distributivity) ).
fof(f1668,plain,
( ~ spl7_1
| spl7_3 ),
inference(avatar_contradiction_clause,[],[f1667]) ).
fof(f1667,plain,
( $false
| ~ spl7_1
| spl7_3 ),
inference(subsumption_resolution,[],[f89,f685]) ).
fof(f685,plain,
( sK1 = addition(sK0,sK1)
| ~ spl7_1 ),
inference(superposition,[],[f130,f677]) ).
fof(f677,plain,
sK1 = addition(sF6,sK1),
inference(forward_demodulation,[],[f658,f51]) ).
fof(f658,plain,
sK1 = addition(sK1,sF6),
inference(superposition,[],[f429,f57]) ).
fof(f429,plain,
! [X0] : addition(X0,multiplication(sK2,X0)) = X0,
inference(forward_demodulation,[],[f426,f52]) ).
fof(f426,plain,
! [X0] : multiplication(one,X0) = addition(multiplication(one,X0),multiplication(sK2,X0)),
inference(superposition,[],[f46,f408]) ).
fof(f408,plain,
one = addition(one,sK2),
inference(forward_demodulation,[],[f399,f51]) ).
fof(f399,plain,
one = addition(sK2,one),
inference(superposition,[],[f125,f318]) ).
fof(f318,plain,
one = addition(sK2,sK3(sK2)),
inference(resolution,[],[f100,f31]) ).
fof(f100,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,sK3(X0)) ),
inference(resolution,[],[f37,f45]) ).
fof(f45,plain,
! [X0] :
( complement(sK3(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] :
( test(X3)
<=> ? [X4] : complement(X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.t6pU9IhsvW/Vampire---4.8_3770',test_1) ).
fof(f125,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f50,f49]) ).
fof(f49,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.t6pU9IhsvW/Vampire---4.8_3770',additive_idempotence) ).
fof(f50,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox/tmp/tmp.t6pU9IhsvW/Vampire---4.8_3770',additive_associativity) ).
fof(f130,plain,
( ! [X0] : addition(sF6,X0) = addition(sK0,addition(sF6,X0))
| ~ spl7_1 ),
inference(superposition,[],[f50,f90]) ).
fof(f90,plain,
( sF6 = addition(sK0,sF6)
| ~ spl7_1 ),
inference(resolution,[],[f33,f64]) ).
fof(f64,plain,
( leq(sK0,sF6)
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f89,plain,
( sK1 != addition(sK0,sK1)
| spl7_3 ),
inference(resolution,[],[f32,f72]) ).
fof(f72,plain,
( ~ leq(sK0,sK1)
| spl7_3 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f1661,plain,
( ~ spl7_1
| spl7_2 ),
inference(avatar_contradiction_clause,[],[f1660]) ).
fof(f1660,plain,
( $false
| ~ spl7_1
| spl7_2 ),
inference(subsumption_resolution,[],[f1659,f359]) ).
fof(f359,plain,
( zero != multiplication(sF4,sK0)
| spl7_2 ),
inference(forward_demodulation,[],[f358,f41]) ).
fof(f358,plain,
( zero != addition(multiplication(sF4,sK0),zero)
| spl7_2 ),
inference(resolution,[],[f357,f32]) ).
fof(f357,plain,
( ~ leq(multiplication(sF4,sK0),zero)
| spl7_2 ),
inference(backward_demodulation,[],[f67,f56]) ).
fof(f67,plain,
( ~ leq(sF5,zero)
| spl7_2 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f1659,plain,
( zero = multiplication(sF4,sK0)
| ~ spl7_1 ),
inference(forward_demodulation,[],[f1637,f41]) ).
fof(f1637,plain,
( zero = addition(multiplication(sF4,sK0),zero)
| ~ spl7_1 ),
inference(superposition,[],[f196,f251]) ).
fof(f251,plain,
zero = multiplication(sF4,sF6),
inference(superposition,[],[f149,f57]) ).
fof(f149,plain,
! [X0] : zero = multiplication(sF4,multiplication(sK2,X0)),
inference(forward_demodulation,[],[f148,f39]) ).
fof(f39,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox/tmp/tmp.t6pU9IhsvW/Vampire---4.8_3770',left_annihilation) ).
fof(f148,plain,
! [X0] : multiplication(zero,X0) = multiplication(sF4,multiplication(sK2,X0)),
inference(superposition,[],[f48,f96]) ).
fof(f96,plain,
zero = multiplication(sF4,sK2),
inference(resolution,[],[f35,f80]) ).
fof(f35,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f48,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/tmp/tmp.t6pU9IhsvW/Vampire---4.8_3770',multiplicative_associativity) ).
fof(f196,plain,
( ! [X0] : multiplication(X0,sF6) = addition(multiplication(X0,sK0),multiplication(X0,sF6))
| ~ spl7_1 ),
inference(superposition,[],[f47,f90]) ).
fof(f77,plain,
( ~ spl7_3
| ~ spl7_1
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f76,f66,f62,f71]) ).
fof(f76,plain,
( ~ leq(sK0,sK1)
| ~ spl7_1
| ~ spl7_2 ),
inference(subsumption_resolution,[],[f75,f64]) ).
fof(f75,plain,
( ~ leq(sK0,sK1)
| ~ leq(sK0,sF6)
| ~ spl7_2 ),
inference(subsumption_resolution,[],[f60,f68]) ).
fof(f60,plain,
( ~ leq(sK0,sK1)
| ~ leq(sF5,zero)
| ~ leq(sK0,sF6) ),
inference(definition_folding,[],[f28,f57,f56,f55]) ).
fof(f28,plain,
( ~ leq(sK0,sK1)
| ~ leq(multiplication(c(sK2),sK0),zero)
| ~ leq(sK0,multiplication(sK2,sK1)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f74,plain,
( spl7_1
| spl7_3 ),
inference(avatar_split_clause,[],[f59,f71,f62]) ).
fof(f59,plain,
( leq(sK0,sK1)
| leq(sK0,sF6) ),
inference(definition_folding,[],[f29,f57]) ).
fof(f29,plain,
( leq(sK0,sK1)
| leq(sK0,multiplication(sK2,sK1)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f69,plain,
( spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f58,f66,f62]) ).
fof(f58,plain,
( leq(sF5,zero)
| leq(sK0,sF6) ),
inference(definition_folding,[],[f30,f57,f56,f55]) ).
fof(f30,plain,
( leq(multiplication(c(sK2),sK0),zero)
| leq(sK0,multiplication(sK2,sK1)) ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : KLE008+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13 % 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
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 18:36:58 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33 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.t6pU9IhsvW/Vampire---4.8_3770
% 0.61/0.80 % (3884)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 (2995ds/34Mi)
% 0.61/0.80 % (3883)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.80 % (3880)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 (2995ds/34Mi)
% 0.61/0.80 % (3882)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80 % (3885)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.80 % (3881)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 (2995ds/51Mi)
% 0.61/0.80 % (3886)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 (2995ds/83Mi)
% 0.61/0.80 % (3887)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 (2995ds/56Mi)
% 0.61/0.80 % (3884)Refutation not found, incomplete strategy% (3884)------------------------------
% 0.61/0.80 % (3884)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (3884)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (3884)Memory used [KB]: 1044
% 0.61/0.80 % (3884)Time elapsed: 0.003 s
% 0.61/0.80 % (3884)Instructions burned: 3 (million)
% 0.61/0.80 % (3884)------------------------------
% 0.61/0.80 % (3884)------------------------------
% 0.61/0.80 % (3887)Refutation not found, incomplete strategy% (3887)------------------------------
% 0.61/0.80 % (3887)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (3887)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (3887)Memory used [KB]: 1044
% 0.61/0.80 % (3887)Time elapsed: 0.003 s
% 0.61/0.80 % (3887)Instructions burned: 3 (million)
% 0.61/0.80 % (3887)------------------------------
% 0.61/0.80 % (3887)------------------------------
% 0.61/0.80 % (3883)Refutation not found, incomplete strategy% (3883)------------------------------
% 0.61/0.80 % (3883)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (3883)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (3883)Memory used [KB]: 1044
% 0.61/0.80 % (3883)Time elapsed: 0.003 s
% 0.61/0.80 % (3883)Instructions burned: 3 (million)
% 0.61/0.80 % (3883)------------------------------
% 0.61/0.80 % (3883)------------------------------
% 0.61/0.80 % (3880)Refutation not found, incomplete strategy% (3880)------------------------------
% 0.61/0.80 % (3880)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (3880)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (3880)Memory used [KB]: 1083
% 0.61/0.80 % (3880)Time elapsed: 0.004 s
% 0.61/0.80 % (3880)Instructions burned: 5 (million)
% 0.61/0.80 % (3880)------------------------------
% 0.61/0.80 % (3880)------------------------------
% 0.61/0.81 % (3888)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 (2995ds/55Mi)
% 0.61/0.81 % (3889)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 (2995ds/50Mi)
% 0.61/0.81 % (3890)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 (2995ds/208Mi)
% 0.61/0.81 % (3891)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 (2995ds/52Mi)
% 0.61/0.81 % (3888)Refutation not found, incomplete strategy% (3888)------------------------------
% 0.61/0.81 % (3888)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (3888)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (3888)Memory used [KB]: 1063
% 0.61/0.81 % (3888)Time elapsed: 0.003 s
% 0.61/0.81 % (3888)Instructions burned: 4 (million)
% 0.61/0.81 % (3888)------------------------------
% 0.61/0.81 % (3888)------------------------------
% 0.61/0.81 % (3892)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 (2995ds/518Mi)
% 0.61/0.83 % (3885)Instruction limit reached!
% 0.61/0.83 % (3885)------------------------------
% 0.61/0.83 % (3885)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83 % (3885)Termination reason: Unknown
% 0.61/0.83 % (3885)Termination phase: Saturation
% 0.61/0.83
% 0.61/0.83 % (3885)Memory used [KB]: 1455
% 0.61/0.83 % (3885)Time elapsed: 0.027 s
% 0.61/0.83 % (3885)Instructions burned: 46 (million)
% 0.61/0.83 % (3885)------------------------------
% 0.61/0.83 % (3885)------------------------------
% 0.61/0.83 % (3893)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 (2995ds/42Mi)
% 0.61/0.83 % (3889)Instruction limit reached!
% 0.61/0.83 % (3889)------------------------------
% 0.61/0.83 % (3889)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83 % (3889)Termination reason: Unknown
% 0.61/0.83 % (3889)Termination phase: Saturation
% 0.61/0.83
% 0.61/0.83 % (3889)Memory used [KB]: 1290
% 0.61/0.83 % (3889)Time elapsed: 0.026 s
% 0.61/0.83 % (3889)Instructions burned: 51 (million)
% 0.61/0.83 % (3889)------------------------------
% 0.61/0.83 % (3889)------------------------------
% 0.61/0.83 % (3893)Refutation not found, incomplete strategy% (3893)------------------------------
% 0.61/0.83 % (3893)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83 % (3893)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83
% 0.61/0.83 % (3893)Memory used [KB]: 1065
% 0.61/0.83 % (3893)Time elapsed: 0.003 s
% 0.61/0.83 % (3881)Instruction limit reached!
% 0.61/0.83 % (3881)------------------------------
% 0.61/0.83 % (3881)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83 % (3893)Instructions burned: 3 (million)
% 0.61/0.83 % (3893)------------------------------
% 0.61/0.83 % (3893)------------------------------
% 0.61/0.83 % (3881)Termination reason: Unknown
% 0.61/0.83 % (3881)Termination phase: Saturation
% 0.61/0.83
% 0.61/0.83 % (3881)Memory used [KB]: 1691
% 0.61/0.83 % (3881)Time elapsed: 0.033 s
% 0.61/0.83 % (3881)Instructions burned: 52 (million)
% 0.61/0.83 % (3881)------------------------------
% 0.61/0.83 % (3881)------------------------------
% 0.61/0.83 % (3891)Instruction limit reached!
% 0.61/0.83 % (3891)------------------------------
% 0.61/0.83 % (3891)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83 % (3891)Termination reason: Unknown
% 0.61/0.83 % (3891)Termination phase: Saturation
% 0.61/0.83
% 0.61/0.83 % (3891)Memory used [KB]: 1482
% 0.61/0.83 % (3891)Time elapsed: 0.028 s
% 0.61/0.83 % (3891)Instructions burned: 53 (million)
% 0.61/0.83 % (3891)------------------------------
% 0.61/0.83 % (3891)------------------------------
% 0.61/0.83 % (3894)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.61/0.84 % (3895)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.61/0.84 % (3896)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.61/0.84 % (3897)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.61/0.84 % (3895)Refutation not found, incomplete strategy% (3895)------------------------------
% 0.61/0.84 % (3895)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84 % (3895)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84
% 0.61/0.84 % (3895)Memory used [KB]: 1070
% 0.61/0.84 % (3895)Time elapsed: 0.003 s
% 0.61/0.84 % (3895)Instructions burned: 4 (million)
% 0.61/0.84 % (3895)------------------------------
% 0.61/0.84 % (3895)------------------------------
% 0.61/0.84 % (3896)Refutation not found, incomplete strategy% (3896)------------------------------
% 0.61/0.84 % (3896)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84 % (3896)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84
% 0.61/0.84 % (3896)Memory used [KB]: 1077
% 0.61/0.84 % (3896)Time elapsed: 0.005 s
% 0.61/0.84 % (3896)Instructions burned: 6 (million)
% 0.61/0.84 % (3896)------------------------------
% 0.61/0.84 % (3896)------------------------------
% 0.61/0.84 % (3882)Instruction limit reached!
% 0.61/0.84 % (3882)------------------------------
% 0.61/0.84 % (3882)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84 % (3882)Termination reason: Unknown
% 0.61/0.84 % (3882)Termination phase: Saturation
% 0.61/0.84
% 0.61/0.84 % (3882)Memory used [KB]: 1826
% 0.61/0.84 % (3882)Time elapsed: 0.041 s
% 0.61/0.84 % (3882)Instructions burned: 78 (million)
% 0.61/0.84 % (3882)------------------------------
% 0.61/0.84 % (3882)------------------------------
% 0.61/0.84 % (3898)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.61/0.84 % (3899)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.61/0.84 % (3886)Instruction limit reached!
% 0.61/0.84 % (3886)------------------------------
% 0.61/0.84 % (3886)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84 % (3886)Termination reason: Unknown
% 0.61/0.84 % (3886)Termination phase: Saturation
% 0.61/0.84
% 0.61/0.84 % (3886)Memory used [KB]: 1925
% 0.61/0.84 % (3886)Time elapsed: 0.044 s
% 0.61/0.84 % (3886)Instructions burned: 83 (million)
% 0.61/0.84 % (3886)------------------------------
% 0.61/0.84 % (3886)------------------------------
% 0.61/0.84 % (3900)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.61/0.85 % (3901)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.87/0.86 % (3899)Instruction limit reached!
% 0.87/0.86 % (3899)------------------------------
% 0.87/0.86 % (3899)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/0.86 % (3899)Termination reason: Unknown
% 0.87/0.86 % (3899)Termination phase: Saturation
% 0.87/0.86
% 0.87/0.86 % (3899)Memory used [KB]: 1370
% 0.87/0.86 % (3899)Time elapsed: 0.019 s
% 0.87/0.86 % (3899)Instructions burned: 33 (million)
% 0.87/0.86 % (3899)------------------------------
% 0.87/0.86 % (3899)------------------------------
% 0.87/0.86 % (3902)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 0.87/0.87 % (3898)Instruction limit reached!
% 0.87/0.87 % (3898)------------------------------
% 0.87/0.87 % (3898)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/0.87 % (3898)Termination reason: Unknown
% 0.87/0.87 % (3898)Termination phase: Saturation
% 0.87/0.87
% 0.87/0.87 % (3898)Memory used [KB]: 1644
% 0.87/0.87 % (3898)Time elapsed: 0.033 s
% 0.87/0.87 % (3898)Instructions burned: 64 (million)
% 0.87/0.87 % (3898)------------------------------
% 0.87/0.87 % (3898)------------------------------
% 0.87/0.87 % (3901)Instruction limit reached!
% 0.87/0.87 % (3901)------------------------------
% 0.87/0.87 % (3901)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/0.87 % (3901)Termination reason: Unknown
% 0.87/0.87 % (3901)Termination phase: Saturation
% 0.87/0.87
% 0.87/0.87 % (3901)Memory used [KB]: 1591
% 0.87/0.87 % (3901)Time elapsed: 0.028 s
% 0.87/0.87 % (3901)Instructions burned: 55 (million)
% 0.87/0.87 % (3901)------------------------------
% 0.87/0.87 % (3901)------------------------------
% 0.96/0.88 % (3903)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 0.96/0.88 % (3904)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2994ds/102Mi)
% 0.96/0.88 % (3903)Refutation not found, incomplete strategy% (3903)------------------------------
% 0.96/0.88 % (3903)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.96/0.88 % (3903)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.88
% 0.96/0.88 % (3903)Memory used [KB]: 1059
% 0.96/0.88 % (3903)Time elapsed: 0.003 s
% 0.96/0.88 % (3903)Instructions burned: 3 (million)
% 0.96/0.88 % (3903)------------------------------
% 0.96/0.88 % (3903)------------------------------
% 0.96/0.88 % (3897)Instruction limit reached!
% 0.96/0.88 % (3897)------------------------------
% 0.96/0.88 % (3897)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.96/0.88 % (3897)Termination reason: Unknown
% 0.96/0.88 % (3897)Termination phase: Saturation
% 0.96/0.88
% 0.96/0.88 % (3897)Memory used [KB]: 1949
% 0.96/0.88 % (3897)Time elapsed: 0.045 s
% 0.96/0.88 % (3897)Instructions burned: 94 (million)
% 0.96/0.88 % (3897)------------------------------
% 0.96/0.88 % (3897)------------------------------
% 0.96/0.88 % (3905)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2994ds/35Mi)
% 0.96/0.88 % (3906)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 0.96/0.89 % (3902)Instruction limit reached!
% 0.96/0.89 % (3902)------------------------------
% 0.96/0.89 % (3902)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.96/0.89 % (3902)Termination reason: Unknown
% 0.96/0.89 % (3902)Termination phase: Saturation
% 0.96/0.89
% 0.96/0.89 % (3902)Memory used [KB]: 1562
% 0.96/0.89 % (3902)Time elapsed: 0.030 s
% 0.96/0.89 % (3902)Instructions burned: 54 (million)
% 0.96/0.89 % (3902)------------------------------
% 0.96/0.89 % (3902)------------------------------
% 0.96/0.90 % (3908)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 0.96/0.90 % (3894)First to succeed.
% 0.96/0.90 % (3894)Refutation found. Thanks to Tanya!
% 0.96/0.90 % SZS status Theorem for Vampire---4
% 0.96/0.90 % SZS output start Proof for Vampire---4
% See solution above
% 0.96/0.90 % (3894)------------------------------
% 0.96/0.90 % (3894)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.96/0.90 % (3894)Termination reason: Refutation
% 0.96/0.90
% 0.96/0.90 % (3894)Memory used [KB]: 2293
% 0.96/0.90 % (3894)Time elapsed: 0.067 s
% 0.96/0.90 % (3894)Instructions burned: 148 (million)
% 0.96/0.90 % (3894)------------------------------
% 0.96/0.90 % (3894)------------------------------
% 0.96/0.90 % (3877)Success in time 0.551 s
% 0.96/0.90 % Vampire---4.8 exiting
%------------------------------------------------------------------------------