TSTP Solution File: SET992+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET992+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 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 : n015.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 18:22:58 EDT 2022
% Result : Theorem 0.21s 0.59s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of formulae : 81 ( 11 unt; 0 def)
% Number of atoms : 330 ( 110 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 396 ( 147 ~; 166 |; 55 &)
% ( 18 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 101 ( 78 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1050,plain,
$false,
inference(avatar_sat_refutation,[],[f252,f257,f259,f352,f462,f675,f698,f723,f809,f990,f1044]) ).
fof(f1044,plain,
spl16_46,
inference(avatar_contradiction_clause,[],[f1041]) ).
fof(f1041,plain,
( $false
| spl16_46 ),
inference(resolution,[],[f658,f169]) ).
fof(f169,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f168]) ).
fof(f168,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f132]) ).
fof(f132,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ( ( sK7(X0,X1) != X0
| ~ in(sK7(X0,X1),X1) )
& ( sK7(X0,X1) = X0
| in(sK7(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f90,f91]) ).
fof(f91,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) )
=> ( ( sK7(X0,X1) != X0
| ~ in(sK7(X0,X1),X1) )
& ( sK7(X0,X1) = X0
| in(sK7(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( singleton(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> X0 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f658,plain,
( ~ in(apply(sK12,sK11),singleton(apply(sK12,sK11)))
| spl16_46 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f657,plain,
( spl16_46
<=> in(apply(sK12,sK11),singleton(apply(sK12,sK11))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_46])]) ).
fof(f990,plain,
( ~ spl16_46
| ~ spl16_5
| spl16_24
| ~ spl16_4
| spl16_33
| ~ spl16_57 ),
inference(avatar_split_clause,[],[f989,f806,f486,f227,f435,f242,f657]) ).
fof(f242,plain,
( spl16_5
<=> function(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).
fof(f435,plain,
( spl16_24
<=> ! [X2] :
( apply(sK12,X2) != apply(sK12,sK11)
| ~ in(X2,singleton(sK11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_24])]) ).
fof(f227,plain,
( spl16_4
<=> relation(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
fof(f486,plain,
( spl16_33
<=> relation_rng(sK12) = singleton(apply(sK12,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_33])]) ).
fof(f806,plain,
( spl16_57
<=> sK1(sK12,singleton(apply(sK12,sK11))) = apply(sK12,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_57])]) ).
fof(f989,plain,
( ! [X3] :
( relation_rng(sK12) = singleton(apply(sK12,sK11))
| ~ relation(sK12)
| apply(sK12,X3) != apply(sK12,sK11)
| ~ function(sK12)
| ~ in(apply(sK12,sK11),singleton(apply(sK12,sK11)))
| ~ in(X3,singleton(sK11)) )
| ~ spl16_57 ),
inference(forward_demodulation,[],[f977,f151]) ).
fof(f151,plain,
relation_dom(sK12) = singleton(sK11),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( relation_dom(sK12) = singleton(sK11)
& relation(sK12)
& function(sK12)
& relation_rng(sK12) != singleton(apply(sK12,sK11)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f68,f100]) ).
fof(f100,plain,
( ? [X0,X1] :
( singleton(X0) = relation_dom(X1)
& relation(X1)
& function(X1)
& relation_rng(X1) != singleton(apply(X1,X0)) )
=> ( relation_dom(sK12) = singleton(sK11)
& relation(sK12)
& function(sK12)
& relation_rng(sK12) != singleton(apply(sK12,sK11)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
? [X0,X1] :
( singleton(X0) = relation_dom(X1)
& relation(X1)
& function(X1)
& relation_rng(X1) != singleton(apply(X1,X0)) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
? [X1,X0] :
( relation_rng(X1) != singleton(apply(X1,X0))
& singleton(X0) = relation_dom(X1)
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,negated_conjecture,
~ ! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ( singleton(X0) = relation_dom(X1)
=> relation_rng(X1) = singleton(apply(X1,X0)) ) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ( singleton(X0) = relation_dom(X1)
=> relation_rng(X1) = singleton(apply(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_funct_1) ).
fof(f977,plain,
( ! [X3] :
( apply(sK12,X3) != apply(sK12,sK11)
| ~ in(X3,relation_dom(sK12))
| ~ relation(sK12)
| ~ function(sK12)
| relation_rng(sK12) = singleton(apply(sK12,sK11))
| ~ in(apply(sK12,sK11),singleton(apply(sK12,sK11))) )
| ~ spl16_57 ),
inference(superposition,[],[f118,f808]) ).
fof(f808,plain,
( sK1(sK12,singleton(apply(sK12,sK11))) = apply(sK12,sK11)
| ~ spl16_57 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f118,plain,
! [X3,X0,X1] :
( apply(X0,X3) != sK1(X0,X1)
| ~ function(X0)
| ~ in(X3,relation_dom(X0))
| relation_rng(X0) = X1
| ~ relation(X0)
| ~ in(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] :
( apply(X0,X3) != sK1(X0,X1)
| ~ in(X3,relation_dom(X0)) )
| ~ in(sK1(X0,X1),X1) )
& ( ( sK1(X0,X1) = apply(X0,sK2(X0,X1))
& in(sK2(X0,X1),relation_dom(X0)) )
| in(sK1(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) ) )
& ( ( apply(X0,sK3(X0,X5)) = X5
& in(sK3(X0,X5),relation_dom(X0)) )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f73,f76,f75,f74]) ).
fof(f74,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) != sK1(X0,X1)
| ~ in(X3,relation_dom(X0)) )
| ~ in(sK1(X0,X1),X1) )
& ( ? [X4] :
( sK1(X0,X1) = apply(X0,X4)
& in(X4,relation_dom(X0)) )
| in(sK1(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1] :
( ? [X4] :
( sK1(X0,X1) = apply(X0,X4)
& in(X4,relation_dom(X0)) )
=> ( sK1(X0,X1) = apply(X0,sK2(X0,X1))
& in(sK2(X0,X1),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0,X5] :
( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
=> ( apply(X0,sK3(X0,X5)) = X5
& in(sK3(X0,X5),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [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)
| ~ relation(X0) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [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)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,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(flattening,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( relation(X0)
& function(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) ).
fof(f809,plain,
( spl16_31
| ~ spl16_5
| ~ spl16_4
| spl16_33
| spl16_57
| ~ spl16_48 ),
inference(avatar_split_clause,[],[f790,f672,f806,f486,f227,f242,f478]) ).
fof(f478,plain,
( spl16_31
<=> in(sK1(sK12,singleton(apply(sK12,sK11))),singleton(apply(sK12,sK11))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_31])]) ).
fof(f672,plain,
( spl16_48
<=> sK2(sK12,singleton(apply(sK12,sK11))) = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_48])]) ).
fof(f790,plain,
( sK1(sK12,singleton(apply(sK12,sK11))) = apply(sK12,sK11)
| relation_rng(sK12) = singleton(apply(sK12,sK11))
| ~ relation(sK12)
| ~ function(sK12)
| in(sK1(sK12,singleton(apply(sK12,sK11))),singleton(apply(sK12,sK11)))
| ~ spl16_48 ),
inference(superposition,[],[f117,f674]) ).
fof(f674,plain,
( sK2(sK12,singleton(apply(sK12,sK11))) = sK11
| ~ spl16_48 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f117,plain,
! [X0,X1] :
( sK1(X0,X1) = apply(X0,sK2(X0,X1))
| ~ function(X0)
| ~ relation(X0)
| in(sK1(X0,X1),X1)
| relation_rng(X0) = X1 ),
inference(cnf_transformation,[],[f77]) ).
fof(f723,plain,
~ spl16_33,
inference(avatar_contradiction_clause,[],[f722]) ).
fof(f722,plain,
( $false
| ~ spl16_33 ),
inference(trivial_inequality_removal,[],[f709]) ).
fof(f709,plain,
( relation_rng(sK12) != relation_rng(sK12)
| ~ spl16_33 ),
inference(superposition,[],[f148,f488]) ).
fof(f488,plain,
( relation_rng(sK12) = singleton(apply(sK12,sK11))
| ~ spl16_33 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f148,plain,
relation_rng(sK12) != singleton(apply(sK12,sK11)),
inference(cnf_transformation,[],[f101]) ).
fof(f698,plain,
( ~ spl16_4
| spl16_24
| spl16_33
| ~ spl16_5
| ~ spl16_46
| ~ spl16_31 ),
inference(avatar_split_clause,[],[f697,f478,f657,f242,f486,f435,f227]) ).
fof(f697,plain,
( ! [X0] :
( ~ in(apply(sK12,sK11),singleton(apply(sK12,sK11)))
| ~ function(sK12)
| relation_rng(sK12) = singleton(apply(sK12,sK11))
| ~ in(X0,singleton(sK11))
| ~ relation(sK12)
| apply(sK12,X0) != apply(sK12,sK11) )
| ~ spl16_31 ),
inference(forward_demodulation,[],[f696,f151]) ).
fof(f696,plain,
( ! [X0] :
( ~ in(X0,relation_dom(sK12))
| ~ in(apply(sK12,sK11),singleton(apply(sK12,sK11)))
| relation_rng(sK12) = singleton(apply(sK12,sK11))
| apply(sK12,X0) != apply(sK12,sK11)
| ~ relation(sK12)
| ~ function(sK12) )
| ~ spl16_31 ),
inference(superposition,[],[f118,f681]) ).
fof(f681,plain,
( sK1(sK12,singleton(apply(sK12,sK11))) = apply(sK12,sK11)
| ~ spl16_31 ),
inference(resolution,[],[f480,f170]) ).
fof(f170,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f131]) ).
fof(f131,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f92]) ).
fof(f480,plain,
( in(sK1(sK12,singleton(apply(sK12,sK11))),singleton(apply(sK12,sK11)))
| ~ spl16_31 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f675,plain,
( spl16_48
| spl16_33
| ~ spl16_7
| spl16_31 ),
inference(avatar_split_clause,[],[f666,f478,f255,f486,f672]) ).
fof(f255,plain,
( spl16_7
<=> ! [X0] :
( relation_rng(sK12) = X0
| in(sK1(sK12,X0),X0)
| in(sK2(sK12,X0),singleton(sK11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).
fof(f666,plain,
( relation_rng(sK12) = singleton(apply(sK12,sK11))
| sK2(sK12,singleton(apply(sK12,sK11))) = sK11
| ~ spl16_7
| spl16_31 ),
inference(resolution,[],[f479,f287]) ).
fof(f287,plain,
( ! [X0] :
( in(sK1(sK12,X0),X0)
| relation_rng(sK12) = X0
| sK11 = sK2(sK12,X0) )
| ~ spl16_7 ),
inference(resolution,[],[f256,f170]) ).
fof(f256,plain,
( ! [X0] :
( in(sK2(sK12,X0),singleton(sK11))
| in(sK1(sK12,X0),X0)
| relation_rng(sK12) = X0 )
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f479,plain,
( ~ in(sK1(sK12,singleton(apply(sK12,sK11))),singleton(apply(sK12,sK11)))
| spl16_31 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f462,plain,
( ~ spl16_8
| ~ spl16_24 ),
inference(avatar_split_clause,[],[f447,f435,f268]) ).
fof(f268,plain,
( spl16_8
<=> in(sK11,singleton(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_8])]) ).
fof(f447,plain,
( ~ in(sK11,singleton(sK11))
| ~ spl16_24 ),
inference(equality_resolution,[],[f436]) ).
fof(f436,plain,
( ! [X2] :
( apply(sK12,X2) != apply(sK12,sK11)
| ~ in(X2,singleton(sK11)) )
| ~ spl16_24 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f352,plain,
spl16_8,
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f351,plain,
( $false
| spl16_8 ),
inference(resolution,[],[f269,f169]) ).
fof(f269,plain,
( ~ in(sK11,singleton(sK11))
| spl16_8 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f259,plain,
spl16_5,
inference(avatar_contradiction_clause,[],[f258]) ).
fof(f258,plain,
( $false
| spl16_5 ),
inference(resolution,[],[f244,f149]) ).
fof(f149,plain,
function(sK12),
inference(cnf_transformation,[],[f101]) ).
fof(f244,plain,
( ~ function(sK12)
| spl16_5 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f257,plain,
( ~ spl16_4
| ~ spl16_5
| spl16_7 ),
inference(avatar_split_clause,[],[f253,f255,f242,f227]) ).
fof(f253,plain,
! [X0] :
( relation_rng(sK12) = X0
| in(sK2(sK12,X0),singleton(sK11))
| ~ function(sK12)
| ~ relation(sK12)
| in(sK1(sK12,X0),X0) ),
inference(superposition,[],[f116,f151]) ).
fof(f116,plain,
! [X0,X1] :
( in(sK2(X0,X1),relation_dom(X0))
| in(sK1(X0,X1),X1)
| relation_rng(X0) = X1
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f252,plain,
spl16_4,
inference(avatar_contradiction_clause,[],[f251]) ).
fof(f251,plain,
( $false
| spl16_4 ),
inference(resolution,[],[f229,f150]) ).
fof(f150,plain,
relation(sK12),
inference(cnf_transformation,[],[f101]) ).
fof(f229,plain,
( ~ relation(sK12)
| spl16_4 ),
inference(avatar_component_clause,[],[f227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET992+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:45:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47 % (3991)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)
% 0.21/0.49 % (3999)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)
% 0.21/0.51 % (3999)Instruction limit reached!
% 0.21/0.51 % (3999)------------------------------
% 0.21/0.51 % (3999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (3999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (3999)Termination reason: Unknown
% 0.21/0.51 % (3999)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (3999)Memory used [KB]: 6012
% 0.21/0.51 % (3999)Time elapsed: 0.095 s
% 0.21/0.51 % (3999)Instructions burned: 7 (million)
% 0.21/0.51 % (3999)------------------------------
% 0.21/0.51 % (3999)------------------------------
% 0.21/0.53 % (3998)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)
% 0.21/0.53 % (3987)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)
% 0.21/0.53 % (3986)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)
% 0.21/0.53 % (3989)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)
% 0.21/0.54 % (3988)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)
% 0.21/0.54 % (3986)Instruction limit reached!
% 0.21/0.54 % (3986)------------------------------
% 0.21/0.54 % (3986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (3986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (3986)Termination reason: Unknown
% 0.21/0.54 % (3986)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (3986)Memory used [KB]: 6012
% 0.21/0.54 % (3986)Time elapsed: 0.124 s
% 0.21/0.54 % (3986)Instructions burned: 4 (million)
% 0.21/0.54 % (3986)------------------------------
% 0.21/0.54 % (3986)------------------------------
% 0.21/0.54 % (3987)Refutation not found, incomplete strategy% (3987)------------------------------
% 0.21/0.54 % (3987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (3987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (3987)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (3987)Memory used [KB]: 6012
% 0.21/0.54 % (3987)Time elapsed: 0.126 s
% 0.21/0.54 % (3987)Instructions burned: 4 (million)
% 0.21/0.54 % (3987)------------------------------
% 0.21/0.54 % (3987)------------------------------
% 0.21/0.54 % (3984)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.54 % (3995)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)
% 0.21/0.54 % (3991)Instruction limit reached!
% 0.21/0.54 % (3991)------------------------------
% 0.21/0.54 % (3991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (3991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (3991)Termination reason: Unknown
% 0.21/0.54 % (3991)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (3991)Memory used [KB]: 6396
% 0.21/0.54 % (3991)Time elapsed: 0.111 s
% 0.21/0.54 % (3991)Instructions burned: 39 (million)
% 0.21/0.54 % (3985)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)
% 0.21/0.54 % (3991)------------------------------
% 0.21/0.54 % (3991)------------------------------
% 0.21/0.54 % (3997)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)
% 0.21/0.54 % (4006)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)
% 0.21/0.54 % (3996)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)
% 0.21/0.54 % (3995)Instruction limit reached!
% 0.21/0.54 % (3995)------------------------------
% 0.21/0.54 % (3995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (3995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (3995)Termination reason: Unknown
% 0.21/0.54 % (3995)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (3995)Memory used [KB]: 6140
% 0.21/0.54 % (3995)Time elapsed: 0.137 s
% 0.21/0.54 % (3995)Instructions burned: 7 (million)
% 0.21/0.54 % (3995)------------------------------
% 0.21/0.54 % (3995)------------------------------
% 0.21/0.54 % (3996)Refutation not found, incomplete strategy% (3996)------------------------------
% 0.21/0.54 % (3996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (3996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (3996)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (3996)Memory used [KB]: 1535
% 0.21/0.54 % (3996)Time elapsed: 0.133 s
% 0.21/0.54 % (3996)Instructions burned: 4 (million)
% 0.21/0.54 % (3996)------------------------------
% 0.21/0.54 % (3996)------------------------------
% 0.21/0.54 % (4007)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)
% 0.21/0.54 % (4010)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)
% 0.21/0.54 % (4011)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)
% 0.21/0.55 % (4000)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)
% 0.21/0.55 % (4012)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)
% 0.21/0.55 % (4001)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.55 % (4013)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)
% 0.21/0.55 % (4002)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)
% 0.21/0.55 % (3998)Instruction limit reached!
% 0.21/0.55 % (3998)------------------------------
% 0.21/0.55 % (3998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (3998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (3998)Termination reason: Unknown
% 0.21/0.55 % (3998)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (3998)Memory used [KB]: 6012
% 0.21/0.55 % (3998)Time elapsed: 0.112 s
% 0.21/0.55 % (3998)Instructions burned: 4 (million)
% 0.21/0.55 % (3998)------------------------------
% 0.21/0.55 % (3998)------------------------------
% 0.21/0.55 % (4002)Instruction limit reached!
% 0.21/0.55 % (4002)------------------------------
% 0.21/0.55 % (4002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (4002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (4002)Termination reason: Unknown
% 0.21/0.55 % (4002)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (4002)Memory used [KB]: 1535
% 0.21/0.55 % (4002)Time elapsed: 0.002 s
% 0.21/0.55 % (4002)Instructions burned: 3 (million)
% 0.21/0.55 % (4002)------------------------------
% 0.21/0.55 % (4002)------------------------------
% 0.21/0.55 % (3990)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)
% 0.21/0.55 % (3994)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)
% 0.21/0.55 % (4003)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)
% 0.21/0.55 % (4004)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)
% 0.21/0.55 % (3992)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)
% 0.21/0.55 % (3994)Refutation not found, incomplete strategy% (3994)------------------------------
% 0.21/0.55 % (3994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (3993)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)
% 0.21/0.55 % (3994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (3994)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55
% 0.21/0.55 % (3994)Memory used [KB]: 6012
% 0.21/0.55 % (3994)Time elapsed: 0.148 s
% 0.21/0.55 % (3994)Instructions burned: 3 (million)
% 0.21/0.55 % (3994)------------------------------
% 0.21/0.55 % (3994)------------------------------
% 0.21/0.55 % (4008)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)
% 0.21/0.55 % (4005)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)
% 0.21/0.56 % (4009)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)
% 0.21/0.56 % (3988)Instruction limit reached!
% 0.21/0.56 % (3988)------------------------------
% 0.21/0.56 % (3988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (3988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (3988)Termination reason: Unknown
% 0.21/0.56 % (3988)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (3988)Memory used [KB]: 6012
% 0.21/0.56 % (3988)Time elapsed: 0.149 s
% 0.21/0.56 % (3988)Instructions burned: 13 (million)
% 0.21/0.56 % (3988)------------------------------
% 0.21/0.56 % (3988)------------------------------
% 0.21/0.56 % (3989)Instruction limit reached!
% 0.21/0.56 % (3989)------------------------------
% 0.21/0.56 % (3989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (3989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (3989)Termination reason: Unknown
% 0.21/0.56 % (3989)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (3989)Memory used [KB]: 1663
% 0.21/0.56 % (3989)Time elapsed: 0.161 s
% 0.21/0.56 % (3989)Instructions burned: 16 (million)
% 0.21/0.56 % (3989)------------------------------
% 0.21/0.56 % (3989)------------------------------
% 0.21/0.56 % (3985)Instruction limit reached!
% 0.21/0.56 % (3985)------------------------------
% 0.21/0.56 % (3985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (3985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (3985)Termination reason: Unknown
% 0.21/0.56 % (3985)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (3985)Memory used [KB]: 6140
% 0.21/0.56 % (3985)Time elapsed: 0.139 s
% 0.21/0.56 % (3985)Instructions burned: 14 (million)
% 0.21/0.56 % (3985)------------------------------
% 0.21/0.56 % (3985)------------------------------
% 0.21/0.57 % (4001)Instruction limit reached!
% 0.21/0.57 % (4001)------------------------------
% 0.21/0.57 % (4001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (4001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (4001)Termination reason: Unknown
% 0.21/0.57 % (4001)Termination phase: Finite model building preprocessing
% 0.21/0.57
% 0.21/0.57 % (4001)Memory used [KB]: 1535
% 0.21/0.57 % (4001)Time elapsed: 0.003 s
% 0.21/0.57 % (4001)Instructions burned: 3 (million)
% 0.21/0.57 % (4001)------------------------------
% 0.21/0.57 % (4001)------------------------------
% 0.21/0.57 % (4012)Refutation not found, incomplete strategy% (4012)------------------------------
% 0.21/0.57 % (4012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (4012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (4012)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.57
% 0.21/0.57 % (4012)Memory used [KB]: 6012
% 0.21/0.57 % (4012)Time elapsed: 0.157 s
% 0.21/0.57 % (4012)Instructions burned: 4 (million)
% 0.21/0.57 % (4012)------------------------------
% 0.21/0.57 % (4012)------------------------------
% 0.21/0.58 % (4003)Instruction limit reached!
% 0.21/0.58 % (4003)------------------------------
% 0.21/0.58 % (4003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (4003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (4003)Termination reason: Unknown
% 0.21/0.58 % (4003)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (4003)Memory used [KB]: 6140
% 0.21/0.58 % (4003)Time elapsed: 0.179 s
% 0.21/0.58 % (4003)Instructions burned: 12 (million)
% 0.21/0.58 % (4003)------------------------------
% 0.21/0.58 % (4003)------------------------------
% 0.21/0.59 % (4006)First to succeed.
% 0.21/0.59 % (4006)Refutation found. Thanks to Tanya!
% 0.21/0.59 % SZS status Theorem for theBenchmark
% 0.21/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.59 % (4006)------------------------------
% 0.21/0.59 % (4006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (4006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (4006)Termination reason: Refutation
% 0.21/0.59
% 0.21/0.59 % (4006)Memory used [KB]: 6524
% 0.21/0.59 % (4006)Time elapsed: 0.145 s
% 0.21/0.59 % (4006)Instructions burned: 26 (million)
% 0.21/0.59 % (4006)------------------------------
% 0.21/0.59 % (4006)------------------------------
% 0.21/0.59 % (3983)Success in time 0.223 s
%------------------------------------------------------------------------------