TSTP Solution File: SEU077+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU077+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n013.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 18:26:35 EDT 2022
% Result : Theorem 0.17s 0.56s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 62 ( 15 unt; 0 def)
% Number of atoms : 330 ( 50 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 416 ( 148 ~; 144 |; 93 &)
% ( 15 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 160 ( 127 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f199,plain,
$false,
inference(subsumption_resolution,[],[f198,f137]) ).
fof(f137,plain,
~ in(sK7(sK2,sK3),sK2),
inference(unit_resulting_resolution,[],[f99,f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ in(sK7(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( ~ in(sK7(X0,X1),X0)
& in(sK7(X0,X1),X1) ) )
& ( ! [X3] :
( in(X3,X0)
| ~ in(X3,X1) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f74,f75]) ).
fof(f75,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X0)
& in(X2,X1) )
=> ( ~ in(sK7(X0,X1),X0)
& in(sK7(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( ~ in(X2,X0)
& in(X2,X1) ) )
& ( ! [X3] :
( in(X3,X0)
| ~ in(X3,X1) )
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( ~ in(X2,X0)
& in(X2,X1) ) )
& ( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( in(X2,X1)
=> in(X2,X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f99,plain,
~ subset(sK3,sK2),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( function(sK4)
& subset(relation_inverse_image(sK4,sK3),relation_inverse_image(sK4,sK2))
& ~ subset(sK3,sK2)
& relation(sK4)
& subset(sK3,relation_rng(sK4)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f64,f65]) ).
fof(f65,plain,
( ? [X0,X1,X2] :
( function(X2)
& subset(relation_inverse_image(X2,X1),relation_inverse_image(X2,X0))
& ~ subset(X1,X0)
& relation(X2)
& subset(X1,relation_rng(X2)) )
=> ( function(sK4)
& subset(relation_inverse_image(sK4,sK3),relation_inverse_image(sK4,sK2))
& ~ subset(sK3,sK2)
& relation(sK4)
& subset(sK3,relation_rng(sK4)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
? [X0,X1,X2] :
( function(X2)
& subset(relation_inverse_image(X2,X1),relation_inverse_image(X2,X0))
& ~ subset(X1,X0)
& relation(X2)
& subset(X1,relation_rng(X2)) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
? [X2,X1,X0] :
( function(X0)
& subset(relation_inverse_image(X0,X1),relation_inverse_image(X0,X2))
& ~ subset(X1,X2)
& relation(X0)
& subset(X1,relation_rng(X0)) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
? [X2,X1,X0] :
( ~ subset(X1,X2)
& subset(X1,relation_rng(X0))
& subset(relation_inverse_image(X0,X1),relation_inverse_image(X0,X2))
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X2,X1,X0] :
( ( relation(X0)
& function(X0) )
=> ( ( subset(X1,relation_rng(X0))
& subset(relation_inverse_image(X0,X1),relation_inverse_image(X0,X2)) )
=> subset(X1,X2) ) ),
inference(rectify,[],[f29]) ).
fof(f29,negated_conjecture,
~ ! [X2,X0,X1] :
( ( function(X2)
& relation(X2) )
=> ( ( subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
& subset(X0,relation_rng(X2)) )
=> subset(X0,X1) ) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
! [X2,X0,X1] :
( ( function(X2)
& relation(X2) )
=> ( ( subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
& subset(X0,relation_rng(X2)) )
=> subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t158_funct_1) ).
fof(f198,plain,
in(sK7(sK2,sK3),sK2),
inference(forward_demodulation,[],[f196,f148]) ).
fof(f148,plain,
sK7(sK2,sK3) = apply(sK4,sK9(sK4,sK7(sK2,sK3))),
inference(unit_resulting_resolution,[],[f101,f98,f141,f131]) ).
fof(f131,plain,
! [X2,X0] :
( ~ in(X2,relation_rng(X0))
| ~ relation(X0)
| apply(X0,sK9(X0,X2)) = X2
| ~ function(X0) ),
inference(equality_resolution,[],[f122]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| apply(X0,sK9(X0,X2)) = X2
| ~ in(X2,X1)
| relation_rng(X0) != X1 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1] :
( ( ! [X2] :
( ( ( apply(X0,sK9(X0,X2)) = X2
& in(sK9(X0,X2),relation_dom(X0)) )
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X4] :
( apply(X0,X4) != X2
| ~ in(X4,relation_dom(X0)) ) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ( ( ~ in(sK10(X0,X1),X1)
| ! [X6] :
( sK10(X0,X1) != apply(X0,X6)
| ~ in(X6,relation_dom(X0)) ) )
& ( in(sK10(X0,X1),X1)
| ( sK10(X0,X1) = apply(X0,sK11(X0,X1))
& in(sK11(X0,X1),relation_dom(X0)) ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f80,f83,f82,f81]) ).
fof(f81,plain,
! [X0,X2] :
( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
=> ( apply(X0,sK9(X0,X2)) = X2
& in(sK9(X0,X2),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0,X1] :
( ? [X5] :
( ( ~ in(X5,X1)
| ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) ) )
& ( in(X5,X1)
| ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) ) ) )
=> ( ( ~ in(sK10(X0,X1),X1)
| ! [X6] :
( sK10(X0,X1) != apply(X0,X6)
| ~ in(X6,relation_dom(X0)) ) )
& ( in(sK10(X0,X1),X1)
| ? [X7] :
( sK10(X0,X1) = apply(X0,X7)
& in(X7,relation_dom(X0)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0,X1] :
( ? [X7] :
( sK10(X0,X1) = apply(X0,X7)
& in(X7,relation_dom(X0)) )
=> ( sK10(X0,X1) = apply(X0,sK11(X0,X1))
& in(sK11(X0,X1),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1] :
( ( ! [X2] :
( ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X4] :
( apply(X0,X4) != X2
| ~ in(X4,relation_dom(X0)) ) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ? [X5] :
( ( ~ in(X5,X1)
| ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) ) )
& ( in(X5,X1)
| ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) ) ) ) ) ) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1] :
( ( ! [X2] :
( ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( in(X2,X1)
| ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) ) ) ) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1] :
( ! [X2] :
( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
<=> in(X2,X1) )
<=> relation_rng(X0) = X1 ) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
<=> in(X2,X1) )
<=> relation_rng(X0) = X1 )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ! [X2] :
( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
<=> in(X2,X1) )
<=> relation_rng(X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f141,plain,
in(sK7(sK2,sK3),relation_rng(sK4)),
inference(unit_resulting_resolution,[],[f97,f135,f112]) ).
fof(f112,plain,
! [X3,X0,X1] :
( ~ subset(X1,X0)
| in(X3,X0)
| ~ in(X3,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f135,plain,
in(sK7(sK2,sK3),sK3),
inference(unit_resulting_resolution,[],[f99,f113]) ).
fof(f113,plain,
! [X0,X1] :
( in(sK7(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f97,plain,
subset(sK3,relation_rng(sK4)),
inference(cnf_transformation,[],[f66]) ).
fof(f98,plain,
relation(sK4),
inference(cnf_transformation,[],[f66]) ).
fof(f101,plain,
function(sK4),
inference(cnf_transformation,[],[f66]) ).
fof(f196,plain,
in(apply(sK4,sK9(sK4,sK7(sK2,sK3))),sK2),
inference(unit_resulting_resolution,[],[f101,f98,f179,f130]) ).
fof(f130,plain,
! [X2,X3,X0] :
( ~ in(X3,relation_inverse_image(X0,X2))
| in(apply(X0,X3),X2)
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f93]) ).
fof(f93,plain,
! [X2,X3,X0,X1] :
( in(apply(X0,X3),X2)
| ~ in(X3,X1)
| relation_inverse_image(X0,X2) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1,X2] :
( ( ! [X3] :
( ( in(X3,X1)
| ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X2) )
| ~ in(X3,X1) ) )
| relation_inverse_image(X0,X2) != X1 )
& ( relation_inverse_image(X0,X2) = X1
| ( ( ~ in(sK1(X0,X1,X2),relation_dom(X0))
| ~ in(apply(X0,sK1(X0,X1,X2)),X2)
| ~ in(sK1(X0,X1,X2),X1) )
& ( ( in(sK1(X0,X1,X2),relation_dom(X0))
& in(apply(X0,sK1(X0,X1,X2)),X2) )
| in(sK1(X0,X1,X2),X1) ) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f61,f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X2)
| ~ in(X4,X1) )
& ( ( in(X4,relation_dom(X0))
& in(apply(X0,X4),X2) )
| in(X4,X1) ) )
=> ( ( ~ in(sK1(X0,X1,X2),relation_dom(X0))
| ~ in(apply(X0,sK1(X0,X1,X2)),X2)
| ~ in(sK1(X0,X1,X2),X1) )
& ( ( in(sK1(X0,X1,X2),relation_dom(X0))
& in(apply(X0,sK1(X0,X1,X2)),X2) )
| in(sK1(X0,X1,X2),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0] :
( ! [X1,X2] :
( ( ! [X3] :
( ( in(X3,X1)
| ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X2) )
| ~ in(X3,X1) ) )
| relation_inverse_image(X0,X2) != X1 )
& ( relation_inverse_image(X0,X2) = X1
| ? [X4] :
( ( ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X2)
| ~ in(X4,X1) )
& ( ( in(X4,relation_dom(X0))
& in(apply(X0,X4),X2) )
| in(X4,X1) ) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X2,X1] :
( ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 )
& ( relation_inverse_image(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X2,X1] :
( ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 )
& ( relation_inverse_image(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X2,X1] :
( ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) )
<=> relation_inverse_image(X0,X1) = X2 )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ! [X2,X1] :
( ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) )
<=> relation_inverse_image(X0,X1) = X2 )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X2,X1] :
( ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) )
<=> relation_inverse_image(X0,X1) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1) ).
fof(f179,plain,
in(sK9(sK4,sK7(sK2,sK3)),relation_inverse_image(sK4,sK2)),
inference(unit_resulting_resolution,[],[f100,f175,f112]) ).
fof(f175,plain,
in(sK9(sK4,sK7(sK2,sK3)),relation_inverse_image(sK4,sK3)),
inference(unit_resulting_resolution,[],[f135,f166]) ).
fof(f166,plain,
! [X1] :
( in(sK9(sK4,sK7(sK2,sK3)),relation_inverse_image(sK4,X1))
| ~ in(sK7(sK2,sK3),X1) ),
inference(subsumption_resolution,[],[f165,f101]) ).
fof(f165,plain,
! [X1] :
( ~ function(sK4)
| in(sK9(sK4,sK7(sK2,sK3)),relation_inverse_image(sK4,X1))
| ~ in(sK7(sK2,sK3),X1) ),
inference(subsumption_resolution,[],[f164,f98]) ).
fof(f164,plain,
! [X1] :
( in(sK9(sK4,sK7(sK2,sK3)),relation_inverse_image(sK4,X1))
| ~ relation(sK4)
| ~ in(sK7(sK2,sK3),X1)
| ~ function(sK4) ),
inference(subsumption_resolution,[],[f160,f147]) ).
fof(f147,plain,
in(sK9(sK4,sK7(sK2,sK3)),relation_dom(sK4)),
inference(unit_resulting_resolution,[],[f98,f101,f141,f132]) ).
fof(f132,plain,
! [X2,X0] :
( in(sK9(X0,X2),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0)
| ~ in(X2,relation_rng(X0)) ),
inference(equality_resolution,[],[f121]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| in(sK9(X0,X2),relation_dom(X0))
| ~ in(X2,X1)
| relation_rng(X0) != X1 ),
inference(cnf_transformation,[],[f84]) ).
fof(f160,plain,
! [X1] :
( ~ in(sK9(sK4,sK7(sK2,sK3)),relation_dom(sK4))
| in(sK9(sK4,sK7(sK2,sK3)),relation_inverse_image(sK4,X1))
| ~ in(sK7(sK2,sK3),X1)
| ~ function(sK4)
| ~ relation(sK4) ),
inference(superposition,[],[f128,f148]) ).
fof(f128,plain,
! [X2,X3,X0] :
( ~ in(apply(X0,X3),X2)
| in(X3,relation_inverse_image(X0,X2))
| ~ function(X0)
| ~ in(X3,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f95]) ).
fof(f95,plain,
! [X2,X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X2)
| relation_inverse_image(X0,X2) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f100,plain,
subset(relation_inverse_image(sK4,sK3),relation_inverse_image(sK4,sK2)),
inference(cnf_transformation,[],[f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU077+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 14:33:01 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.47 % (10901)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)
% 0.17/0.48 % (10900)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)
% 0.17/0.49 % (10909)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)
% 0.17/0.49 % (10916)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)
% 0.17/0.50 % (10917)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)
% 0.17/0.50 % (10908)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)
% 0.17/0.51 % (10908)Instruction limit reached!
% 0.17/0.51 % (10908)------------------------------
% 0.17/0.51 % (10908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (10899)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)
% 0.17/0.52 % (10907)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)
% 0.17/0.52 % (10908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52 % (10908)Termination reason: Unknown
% 0.17/0.52 % (10908)Termination phase: Saturation
% 0.17/0.52
% 0.17/0.52 % (10908)Memory used [KB]: 6140
% 0.17/0.52 % (10908)Time elapsed: 0.124 s
% 0.17/0.52 % (10908)Instructions burned: 7 (million)
% 0.17/0.52 % (10908)------------------------------
% 0.17/0.52 % (10908)------------------------------
% 0.17/0.52 % (10907)Instruction limit reached!
% 0.17/0.52 % (10907)------------------------------
% 0.17/0.52 % (10907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52 % (10907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52 % (10907)Termination reason: Unknown
% 0.17/0.52 % (10907)Termination phase: Saturation
% 0.17/0.52
% 0.17/0.52 % (10907)Memory used [KB]: 6012
% 0.17/0.52 % (10907)Time elapsed: 0.004 s
% 0.17/0.52 % (10907)Instructions burned: 3 (million)
% 0.17/0.52 % (10907)------------------------------
% 0.17/0.52 % (10907)------------------------------
% 0.17/0.52 % (10904)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)
% 0.17/0.52 % (10903)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)
% 0.17/0.52 % (10893)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.17/0.52 % (10922)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)
% 0.17/0.53 % (10905)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)
% 0.17/0.54 % (10910)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.17/0.54 % (10895)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)
% 0.17/0.54 % (10897)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)
% 0.17/0.54 % (10896)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)
% 0.17/0.54 % (10910)Instruction limit reached!
% 0.17/0.54 % (10910)------------------------------
% 0.17/0.54 % (10910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54 % (10910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54 % (10910)Termination reason: Unknown
% 0.17/0.54 % (10910)Termination phase: Property scanning
% 0.17/0.54
% 0.17/0.54 % (10910)Memory used [KB]: 1535
% 0.17/0.54 % (10910)Time elapsed: 0.003 s
% 0.17/0.54 % (10910)Instructions burned: 3 (million)
% 0.17/0.54 % (10910)------------------------------
% 0.17/0.54 % (10910)------------------------------
% 0.17/0.54 % (10895)Instruction limit reached!
% 0.17/0.54 % (10895)------------------------------
% 0.17/0.54 % (10895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54 % (10895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54 % (10895)Termination reason: Unknown
% 0.17/0.54 % (10895)Termination phase: Property scanning
% 0.17/0.54
% 0.17/0.54 % (10895)Memory used [KB]: 1535
% 0.17/0.54 % (10895)Time elapsed: 0.003 s
% 0.17/0.54 % (10895)Instructions burned: 3 (million)
% 0.17/0.54 % (10895)------------------------------
% 0.17/0.54 % (10895)------------------------------
% 0.17/0.54 % (10896)First to succeed.
% 0.17/0.54 % (10918)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)
% 0.17/0.54 % (10904)Instruction limit reached!
% 0.17/0.54 % (10904)------------------------------
% 0.17/0.54 % (10904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54 % (10904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54 % (10904)Termination reason: Unknown
% 0.17/0.54 % (10904)Termination phase: Saturation
% 0.17/0.54
% 0.17/0.54 % (10904)Memory used [KB]: 6140
% 0.17/0.54 % (10904)Time elapsed: 0.151 s
% 0.17/0.54 % (10904)Instructions burned: 7 (million)
% 0.17/0.54 % (10904)------------------------------
% 0.17/0.54 % (10904)------------------------------
% 0.17/0.54 % (10903)Instruction limit reached!
% 0.17/0.54 % (10903)------------------------------
% 0.17/0.54 % (10903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54 % (10903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54 % (10903)Termination reason: Unknown
% 0.17/0.54 % (10903)Termination phase: Saturation
% 0.17/0.54
% 0.17/0.54 % (10903)Memory used [KB]: 6268
% 0.17/0.54 % (10903)Time elapsed: 0.155 s
% 0.17/0.54 % (10903)Instructions burned: 12 (million)
% 0.17/0.54 % (10903)------------------------------
% 0.17/0.54 % (10903)------------------------------
% 0.17/0.54 % (10915)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)
% 0.17/0.54 % (10921)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)
% 0.17/0.55 % (10920)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)
% 0.17/0.55 % (10919)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)
% 0.17/0.55 % (10902)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)
% 0.17/0.55 % (10911)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)
% 0.17/0.55 % (10911)Instruction limit reached!
% 0.17/0.55 % (10911)------------------------------
% 0.17/0.55 % (10911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55 % (10911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55 % (10911)Termination reason: Unknown
% 0.17/0.55 % (10911)Termination phase: Preprocessing 3
% 0.17/0.55
% 0.17/0.55 % (10911)Memory used [KB]: 1407
% 0.17/0.55 % (10911)Time elapsed: 0.003 s
% 0.17/0.55 % (10911)Instructions burned: 2 (million)
% 0.17/0.55 % (10911)------------------------------
% 0.17/0.55 % (10911)------------------------------
% 0.17/0.56 % (10912)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)
% 0.17/0.56 % (10900)Instruction limit reached!
% 0.17/0.56 % (10900)------------------------------
% 0.17/0.56 % (10900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.56 % (10896)Refutation found. Thanks to Tanya!
% 0.17/0.56 % SZS status Theorem for theBenchmark
% 0.17/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.56 % (10896)------------------------------
% 0.17/0.56 % (10896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.56 % (10896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.56 % (10896)Termination reason: Refutation
% 0.17/0.56
% 0.17/0.56 % (10896)Memory used [KB]: 6012
% 0.17/0.56 % (10896)Time elapsed: 0.153 s
% 0.17/0.56 % (10896)Instructions burned: 5 (million)
% 0.17/0.56 % (10896)------------------------------
% 0.17/0.56 % (10896)------------------------------
% 0.17/0.56 % (10892)Success in time 0.227 s
%------------------------------------------------------------------------------