TSTP Solution File: SEU290+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU290+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n008.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 Aug 31 18:28:25 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 74 ( 12 unt; 0 def)
% Number of atoms : 309 ( 99 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 351 ( 116 ~; 113 |; 79 &)
% ( 18 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 171 ( 141 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f600,plain,
$false,
inference(avatar_sat_refutation,[],[f390,f551,f599]) ).
fof(f599,plain,
spl22_4,
inference(avatar_contradiction_clause,[],[f597]) ).
fof(f597,plain,
( $false
| spl22_4 ),
inference(resolution,[],[f588,f177]) ).
fof(f177,plain,
relation_of2_as_subset(sK7,sK4,sK5),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( empty_set != sK5
& in(sK6,sK4)
& quasi_total(sK7,sK4,sK5)
& ~ in(apply(sK7,sK6),relation_rng(sK7))
& function(sK7)
& relation_of2_as_subset(sK7,sK4,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f116,f117]) ).
fof(f117,plain,
( ? [X0,X1,X2,X3] :
( empty_set != X1
& in(X2,X0)
& quasi_total(X3,X0,X1)
& ~ in(apply(X3,X2),relation_rng(X3))
& function(X3)
& relation_of2_as_subset(X3,X0,X1) )
=> ( empty_set != sK5
& in(sK6,sK4)
& quasi_total(sK7,sK4,sK5)
& ~ in(apply(sK7,sK6),relation_rng(sK7))
& function(sK7)
& relation_of2_as_subset(sK7,sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
? [X0,X1,X2,X3] :
( empty_set != X1
& in(X2,X0)
& quasi_total(X3,X0,X1)
& ~ in(apply(X3,X2),relation_rng(X3))
& function(X3)
& relation_of2_as_subset(X3,X0,X1) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
? [X3,X1,X2,X0] :
( empty_set != X1
& in(X2,X3)
& quasi_total(X0,X3,X1)
& ~ in(apply(X0,X2),relation_rng(X0))
& function(X0)
& relation_of2_as_subset(X0,X3,X1) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
? [X1,X0,X3,X2] :
( ~ in(apply(X0,X2),relation_rng(X0))
& empty_set != X1
& in(X2,X3)
& relation_of2_as_subset(X0,X3,X1)
& quasi_total(X0,X3,X1)
& function(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
~ ! [X1,X0,X3,X2] :
( ( relation_of2_as_subset(X0,X3,X1)
& quasi_total(X0,X3,X1)
& function(X0) )
=> ( in(X2,X3)
=> ( in(apply(X0,X2),relation_rng(X0))
| empty_set = X1 ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ! [X3,X1,X2,X0] :
( ( relation_of2_as_subset(X3,X0,X1)
& quasi_total(X3,X0,X1)
& function(X3) )
=> ( in(X2,X0)
=> ( empty_set = X1
| in(apply(X3,X2),relation_rng(X3)) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X3,X1,X2,X0] :
( ( relation_of2_as_subset(X3,X0,X1)
& quasi_total(X3,X0,X1)
& function(X3) )
=> ( in(X2,X0)
=> ( empty_set = X1
| in(apply(X3,X2),relation_rng(X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_funct_2) ).
fof(f588,plain,
( ! [X0,X1] : ~ relation_of2_as_subset(sK7,X0,X1)
| spl22_4 ),
inference(resolution,[],[f553,f226]) ).
fof(f226,plain,
! [X2,X0,X1] :
( element(X0,powerset(cartesian_product2(X1,X2)))
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ~ relation_of2_as_subset(X0,X1,X2)
| element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [X2,X1,X0] :
( ~ relation_of2_as_subset(X2,X1,X0)
| element(X2,powerset(cartesian_product2(X1,X0))) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X1,X0)
=> element(X2,powerset(cartesian_product2(X1,X0))) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f553,plain,
( ! [X0,X1] : ~ element(sK7,powerset(cartesian_product2(X0,X1)))
| spl22_4 ),
inference(resolution,[],[f389,f225]) ).
fof(f225,plain,
! [X2,X0,X1] :
( relation(X0)
| ~ element(X0,powerset(cartesian_product2(X2,X1))) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X2] :
( relation(X0)
| ~ element(X0,powerset(cartesian_product2(X2,X1))) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X2,X0,X1] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X1,X0))) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X1,X0)))
=> relation(X2) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f389,plain,
( ~ relation(sK7)
| spl22_4 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f387,plain,
( spl22_4
<=> relation(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).
fof(f551,plain,
spl22_3,
inference(avatar_contradiction_clause,[],[f550]) ).
fof(f550,plain,
( $false
| spl22_3 ),
inference(subsumption_resolution,[],[f549,f181]) ).
fof(f181,plain,
in(sK6,sK4),
inference(cnf_transformation,[],[f118]) ).
fof(f549,plain,
( ~ in(sK6,sK4)
| spl22_3 ),
inference(backward_demodulation,[],[f385,f547]) ).
fof(f547,plain,
sK4 = relation_dom(sK7),
inference(forward_demodulation,[],[f544,f419]) ).
fof(f419,plain,
relation_dom_as_subset(sK4,sK5,sK7) = sK4,
inference(subsumption_resolution,[],[f418,f177]) ).
fof(f418,plain,
( ~ relation_of2_as_subset(sK7,sK4,sK5)
| relation_dom_as_subset(sK4,sK5,sK7) = sK4 ),
inference(subsumption_resolution,[],[f413,f182]) ).
fof(f182,plain,
empty_set != sK5,
inference(cnf_transformation,[],[f118]) ).
fof(f413,plain,
( empty_set = sK5
| relation_dom_as_subset(sK4,sK5,sK7) = sK4
| ~ relation_of2_as_subset(sK7,sK4,sK5) ),
inference(resolution,[],[f230,f180]) ).
fof(f180,plain,
quasi_total(sK7,sK4,sK5),
inference(cnf_transformation,[],[f118]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ quasi_total(X0,X2,X1)
| relation_dom_as_subset(X2,X1,X0) = X2
| empty_set = X1
| ~ relation_of2_as_subset(X0,X2,X1) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2] :
( ~ relation_of2_as_subset(X0,X2,X1)
| ( ( ( empty_set != X2
& empty_set = X1 )
| ( ( relation_dom_as_subset(X2,X1,X0) = X2
| ~ quasi_total(X0,X2,X1) )
& ( quasi_total(X0,X2,X1)
| relation_dom_as_subset(X2,X1,X0) != X2 ) ) )
& ( ( ( empty_set = X0
| ~ quasi_total(X0,X2,X1) )
& ( quasi_total(X0,X2,X1)
| empty_set != X0 ) )
| empty_set != X1
| empty_set = X2 ) ) ),
inference(rectify,[],[f157]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X1,X0)
| ( ( ( empty_set != X1
& empty_set = X0 )
| ( ( relation_dom_as_subset(X1,X0,X2) = X1
| ~ quasi_total(X2,X1,X0) )
& ( quasi_total(X2,X1,X0)
| relation_dom_as_subset(X1,X0,X2) != X1 ) ) )
& ( ( ( empty_set = X2
| ~ quasi_total(X2,X1,X0) )
& ( quasi_total(X2,X1,X0)
| empty_set != X2 ) )
| empty_set != X0
| empty_set = X1 ) ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X1,X0)
| ( ( ( empty_set != X1
& empty_set = X0 )
| ( relation_dom_as_subset(X1,X0,X2) = X1
<=> quasi_total(X2,X1,X0) ) )
& ( ( empty_set = X2
<=> quasi_total(X2,X1,X0) )
| empty_set != X0
| empty_set = X1 ) ) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ( ( empty_set = X1
| ( empty_set = X2
<=> quasi_total(X2,X1,X0) )
| empty_set != X0 )
& ( ( empty_set != X1
& empty_set = X0 )
| ( relation_dom_as_subset(X1,X0,X2) = X1
<=> quasi_total(X2,X1,X0) ) ) )
| ~ relation_of2_as_subset(X2,X1,X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( relation_of2_as_subset(X2,X1,X0)
=> ( ( empty_set = X0
=> ( empty_set = X1
| ( empty_set = X2
<=> quasi_total(X2,X1,X0) ) ) )
& ( ( empty_set = X0
=> empty_set = X1 )
=> ( relation_dom_as_subset(X1,X0,X2) = X1
<=> quasi_total(X2,X1,X0) ) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( ( ( empty_set = X1
=> empty_set = X0 )
=> ( quasi_total(X2,X0,X1)
<=> relation_dom_as_subset(X0,X1,X2) = X0 ) )
& ( empty_set = X1
=> ( empty_set = X0
| ( empty_set = X2
<=> quasi_total(X2,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_funct_2) ).
fof(f544,plain,
relation_dom_as_subset(sK4,sK5,sK7) = relation_dom(sK7),
inference(resolution,[],[f323,f177]) ).
fof(f323,plain,
! [X6,X4,X5] :
( ~ relation_of2_as_subset(X4,X5,X6)
| relation_dom_as_subset(X5,X6,X4) = relation_dom(X4) ),
inference(resolution,[],[f190,f194]) ).
fof(f194,plain,
! [X2,X0,X1] :
( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X1,X0,X2] :
( ( relation_of2_as_subset(X2,X1,X0)
| ~ relation_of2(X2,X1,X0) )
& ( relation_of2(X2,X1,X0)
| ~ relation_of2_as_subset(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X1,X0,X2] :
( relation_of2_as_subset(X2,X1,X0)
<=> relation_of2(X2,X1,X0) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X1,X0,X2] :
( relation_of2(X2,X0,X1)
<=> relation_of2_as_subset(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ relation_of2(X1,X2,X0)
| relation_dom(X1) = relation_dom_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ relation_of2(X1,X2,X0)
| relation_dom(X1) = relation_dom_as_subset(X2,X0,X1) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X0,X2,X1] :
( ~ relation_of2(X2,X1,X0)
| relation_dom(X2) = relation_dom_as_subset(X1,X0,X2) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X2,X1,X0] :
( relation_of2(X2,X1,X0)
=> relation_dom(X2) = relation_dom_as_subset(X1,X0,X2) ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X1,X0,X2] :
( relation_of2(X2,X0,X1)
=> relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f385,plain,
( ~ in(sK6,relation_dom(sK7))
| spl22_3 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f383,plain,
( spl22_3
<=> in(sK6,relation_dom(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).
fof(f390,plain,
( ~ spl22_3
| ~ spl22_4 ),
inference(avatar_split_clause,[],[f361,f387,f383]) ).
fof(f361,plain,
( ~ relation(sK7)
| ~ in(sK6,relation_dom(sK7)) ),
inference(subsumption_resolution,[],[f351,f178]) ).
fof(f178,plain,
function(sK7),
inference(cnf_transformation,[],[f118]) ).
fof(f351,plain,
( ~ relation(sK7)
| ~ function(sK7)
| ~ in(sK6,relation_dom(sK7)) ),
inference(resolution,[],[f236,f179]) ).
fof(f179,plain,
~ in(apply(sK7,sK6),relation_rng(sK7)),
inference(cnf_transformation,[],[f118]) ).
fof(f236,plain,
! [X0,X6] :
( in(apply(X0,X6),relation_rng(X0))
| ~ relation(X0)
| ~ function(X0)
| ~ in(X6,relation_dom(X0)) ),
inference(equality_resolution,[],[f235]) ).
fof(f235,plain,
! [X0,X1,X6] :
( ~ relation(X0)
| in(apply(X0,X6),X1)
| ~ in(X6,relation_dom(X0))
| relation_rng(X0) != X1
| ~ function(X0) ),
inference(equality_resolution,[],[f198]) ).
fof(f198,plain,
! [X0,X1,X6,X5] :
( ~ relation(X0)
| in(X5,X1)
| apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0))
| relation_rng(X0) != X1
| ~ function(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] :
( apply(X0,X3) != sK11(X0,X1)
| ~ in(X3,relation_dom(X0)) )
| ~ in(sK11(X0,X1),X1) )
& ( ( apply(X0,sK12(X0,X1)) = sK11(X0,X1)
& in(sK12(X0,X1),relation_dom(X0)) )
| in(sK11(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) ) )
& ( ( apply(X0,sK13(X0,X5)) = X5
& in(sK13(X0,X5),relation_dom(X0)) )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f130,f133,f132,f131]) ).
fof(f131,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) )
| in(X2,X1) ) )
=> ( ( ! [X3] :
( apply(X0,X3) != sK11(X0,X1)
| ~ in(X3,relation_dom(X0)) )
| ~ in(sK11(X0,X1),X1) )
& ( ? [X4] :
( apply(X0,X4) = sK11(X0,X1)
& in(X4,relation_dom(X0)) )
| in(sK11(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0,X1] :
( ? [X4] :
( apply(X0,X4) = sK11(X0,X1)
& in(X4,relation_dom(X0)) )
=> ( apply(X0,sK12(X0,X1)) = sK11(X0,X1)
& in(sK12(X0,X1),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
! [X0,X5] :
( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
=> ( apply(X0,sK13(X0,X5)) = X5
& in(sK13(X0,X5),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) ) )
& ( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) )
| ~ function(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SEU290+1 : TPTP v8.1.0. Released v3.3.0.
% 0.09/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n008.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 Aug 30 15:09:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.48 % (16264)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.48 % (16248)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 % (16256)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=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.49 % (16238)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 % (16238)Refutation not found, incomplete strategy% (16238)------------------------------
% 0.19/0.49 % (16238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (16246)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (16246)Instruction limit reached!
% 0.19/0.50 % (16246)------------------------------
% 0.19/0.50 % (16246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (16246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (16246)Termination reason: Unknown
% 0.19/0.50 % (16246)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (16246)Memory used [KB]: 6140
% 0.19/0.50 % (16246)Time elapsed: 0.109 s
% 0.19/0.50 % (16246)Instructions burned: 7 (million)
% 0.19/0.50 % (16246)------------------------------
% 0.19/0.50 % (16246)------------------------------
% 0.19/0.50 % (16247)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50 % (16238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (16238)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (16238)Memory used [KB]: 6012
% 0.19/0.50 % (16238)Time elapsed: 0.105 s
% 0.19/0.50 % (16238)Instructions burned: 4 (million)
% 0.19/0.50 % (16238)------------------------------
% 0.19/0.50 % (16238)------------------------------
% 0.19/0.50 % (16245)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.50 % (16253)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (16235)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50 % (16261)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (16253)Instruction limit reached!
% 0.19/0.51 % (16253)------------------------------
% 0.19/0.51 % (16253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (16253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (16253)Termination reason: Unknown
% 0.19/0.51 % (16253)Termination phase: shuffling
% 0.19/0.51
% 0.19/0.51 % (16253)Memory used [KB]: 1407
% 0.19/0.51 % (16253)Time elapsed: 0.004 s
% 0.19/0.51 % (16253)Instructions burned: 2 (million)
% 0.19/0.51 % (16253)------------------------------
% 0.19/0.51 % (16253)------------------------------
% 0.19/0.51 % (16245)Refutation not found, incomplete strategy% (16245)------------------------------
% 0.19/0.51 % (16245)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (16245)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (16245)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (16245)Memory used [KB]: 6140
% 0.19/0.51 % (16245)Time elapsed: 0.116 s
% 0.19/0.51 % (16245)Instructions burned: 5 (million)
% 0.19/0.51 % (16245)------------------------------
% 0.19/0.51 % (16245)------------------------------
% 0.19/0.51 % (16249)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (16249)Instruction limit reached!
% 0.19/0.51 % (16249)------------------------------
% 0.19/0.51 % (16249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (16249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (16249)Termination reason: Unknown
% 0.19/0.51 % (16249)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (16249)Memory used [KB]: 1535
% 0.19/0.51 % (16249)Time elapsed: 0.003 s
% 0.19/0.51 % (16249)Instructions burned: 4 (million)
% 0.19/0.51 % (16249)------------------------------
% 0.19/0.51 % (16249)------------------------------
% 0.19/0.51 % (16259)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (16254)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.51 % (16260)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.51 % (16241)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (16236)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (16258)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.52 % (16239)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (16236)Refutation not found, incomplete strategy% (16236)------------------------------
% 0.19/0.52 % (16236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (16236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (16236)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (16236)Memory used [KB]: 6012
% 0.19/0.52 % (16236)Time elapsed: 0.125 s
% 0.19/0.52 % (16236)Instructions burned: 4 (million)
% 0.19/0.52 % (16236)------------------------------
% 0.19/0.52 % (16236)------------------------------
% 0.19/0.52 % (16237)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (16240)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52 % (16257)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.52 % (16237)Instruction limit reached!
% 0.19/0.52 % (16237)------------------------------
% 0.19/0.52 % (16237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (16237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (16237)Termination reason: Unknown
% 0.19/0.52 % (16237)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (16237)Memory used [KB]: 1535
% 0.19/0.52 % (16237)Time elapsed: 0.004 s
% 0.19/0.52 % (16237)Instructions burned: 4 (million)
% 0.19/0.52 % (16237)------------------------------
% 0.19/0.52 % (16237)------------------------------
% 0.19/0.52 % (16250)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (16252)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (16262)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52 % (16243)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.52 % (16252)Instruction limit reached!
% 0.19/0.52 % (16252)------------------------------
% 0.19/0.52 % (16252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (16252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (16252)Termination reason: Unknown
% 0.19/0.52 % (16252)Termination phase: Finite model building preprocessing
% 0.19/0.52
% 0.19/0.52 % (16252)Memory used [KB]: 1535
% 0.19/0.52 % (16252)Time elapsed: 0.003 s
% 0.19/0.52 % (16252)Instructions burned: 4 (million)
% 0.19/0.52 % (16252)------------------------------
% 0.19/0.52 % (16252)------------------------------
% 0.19/0.52 % (16250)Instruction limit reached!
% 0.19/0.52 % (16250)------------------------------
% 0.19/0.52 % (16250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (16250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (16250)Termination reason: Unknown
% 0.19/0.52 % (16250)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (16250)Memory used [KB]: 6140
% 0.19/0.52 % (16250)Time elapsed: 0.131 s
% 0.19/0.52 % (16250)Instructions burned: 8 (million)
% 0.19/0.52 % (16250)------------------------------
% 0.19/0.52 % (16250)------------------------------
% 0.19/0.52 % (16247)Refutation not found, incomplete strategy% (16247)------------------------------
% 0.19/0.52 % (16247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (16247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (16247)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (16247)Memory used [KB]: 1663
% 0.19/0.52 % (16247)Time elapsed: 0.136 s
% 0.19/0.52 % (16247)Instructions burned: 5 (million)
% 0.19/0.52 % (16247)------------------------------
% 0.19/0.52 % (16247)------------------------------
% 0.19/0.52 % (16242)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52 % (16264)First to succeed.
% 0.19/0.52 % (16244)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53 % (16263)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53 % (16251)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (16239)Instruction limit reached!
% 0.19/0.53 % (16239)------------------------------
% 0.19/0.53 % (16239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16239)Termination reason: Unknown
% 0.19/0.53 % (16239)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (16239)Memory used [KB]: 6140
% 0.19/0.53 % (16239)Time elapsed: 0.133 s
% 0.19/0.53 % (16239)Instructions burned: 14 (million)
% 0.19/0.53 % (16239)------------------------------
% 0.19/0.53 % (16239)------------------------------
% 0.19/0.53 % (16263)Refutation not found, incomplete strategy% (16263)------------------------------
% 0.19/0.53 % (16263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16263)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (16263)Memory used [KB]: 6140
% 0.19/0.53 % (16263)Time elapsed: 0.139 s
% 0.19/0.53 % (16263)Instructions burned: 6 (million)
% 0.19/0.53 % (16263)------------------------------
% 0.19/0.53 % (16263)------------------------------
% 0.19/0.53 % (16258)Refutation not found, incomplete strategy% (16258)------------------------------
% 0.19/0.53 % (16258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16258)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (16258)Memory used [KB]: 1663
% 0.19/0.53 % (16258)Time elapsed: 0.138 s
% 0.19/0.53 % (16258)Instructions burned: 6 (million)
% 0.19/0.53 % (16258)------------------------------
% 0.19/0.53 % (16258)------------------------------
% 0.19/0.53 % (16255)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.53 % (16254)Instruction limit reached!
% 0.19/0.53 % (16254)------------------------------
% 0.19/0.53 % (16254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (16254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (16254)Termination reason: Unknown
% 0.19/0.54 % (16254)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (16254)Memory used [KB]: 6268
% 0.19/0.54 % (16254)Time elapsed: 0.150 s
% 0.19/0.54 % (16254)Instructions burned: 11 (million)
% 0.19/0.54 % (16254)------------------------------
% 0.19/0.54 % (16254)------------------------------
% 0.19/0.54 % (16240)Instruction limit reached!
% 0.19/0.54 % (16240)------------------------------
% 0.19/0.54 % (16240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (16240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (16240)Termination reason: Unknown
% 0.19/0.54 % (16240)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (16240)Memory used [KB]: 1663
% 0.19/0.54 % (16240)Time elapsed: 0.132 s
% 0.19/0.54 % (16240)Instructions burned: 16 (million)
% 0.19/0.54 % (16240)------------------------------
% 0.19/0.54 % (16240)------------------------------
% 0.19/0.55 % (16264)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Theorem for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (16264)------------------------------
% 0.19/0.55 % (16264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (16264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (16264)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (16264)Memory used [KB]: 6268
% 0.19/0.55 % (16264)Time elapsed: 0.122 s
% 0.19/0.55 % (16264)Instructions burned: 21 (million)
% 0.19/0.55 % (16264)------------------------------
% 0.19/0.55 % (16264)------------------------------
% 0.19/0.55 % (16234)Success in time 0.2 s
%------------------------------------------------------------------------------