TSTP Solution File: SET955+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET955+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 : n006.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 18:22:51 EDT 2022
% Result : Theorem 1.45s 0.56s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 59 ( 5 unt; 0 def)
% Number of atoms : 246 ( 58 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 299 ( 112 ~; 110 |; 54 &)
% ( 12 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 196 ( 154 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f118,plain,
$false,
inference(avatar_sat_refutation,[],[f106,f113,f117]) ).
fof(f117,plain,
~ spl10_1,
inference(avatar_contradiction_clause,[],[f114]) ).
fof(f114,plain,
( $false
| ~ spl10_1 ),
inference(resolution,[],[f101,f96]) ).
fof(f96,plain,
in(sK9(cartesian_product2(sK5,sK6),cartesian_product2(sK7,sK8)),cartesian_product2(sK5,sK6)),
inference(subsumption_resolution,[],[f95,f39]) ).
fof(f39,plain,
cartesian_product2(sK5,sK6) != cartesian_product2(sK7,sK8),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),cartesian_product2(sK7,sK8))
| ~ in(ordered_pair(X4,X5),cartesian_product2(sK5,sK6)) )
& ( in(ordered_pair(X4,X5),cartesian_product2(sK5,sK6))
| ~ in(ordered_pair(X4,X5),cartesian_product2(sK7,sK8)) ) )
& cartesian_product2(sK5,sK6) != cartesian_product2(sK7,sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f24,f25]) ).
fof(f25,plain,
( ? [X0,X1,X2,X3] :
( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),cartesian_product2(X2,X3))
| ~ in(ordered_pair(X4,X5),cartesian_product2(X0,X1)) )
& ( in(ordered_pair(X4,X5),cartesian_product2(X0,X1))
| ~ in(ordered_pair(X4,X5),cartesian_product2(X2,X3)) ) )
& cartesian_product2(X0,X1) != cartesian_product2(X2,X3) )
=> ( ! [X5,X4] :
( ( in(ordered_pair(X4,X5),cartesian_product2(sK7,sK8))
| ~ in(ordered_pair(X4,X5),cartesian_product2(sK5,sK6)) )
& ( in(ordered_pair(X4,X5),cartesian_product2(sK5,sK6))
| ~ in(ordered_pair(X4,X5),cartesian_product2(sK7,sK8)) ) )
& cartesian_product2(sK5,sK6) != cartesian_product2(sK7,sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
? [X0,X1,X2,X3] :
( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),cartesian_product2(X2,X3))
| ~ in(ordered_pair(X4,X5),cartesian_product2(X0,X1)) )
& ( in(ordered_pair(X4,X5),cartesian_product2(X0,X1))
| ~ in(ordered_pair(X4,X5),cartesian_product2(X2,X3)) ) )
& cartesian_product2(X0,X1) != cartesian_product2(X2,X3) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
? [X2,X3,X1,X0] :
( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),cartesian_product2(X1,X0))
| ~ in(ordered_pair(X4,X5),cartesian_product2(X2,X3)) )
& ( in(ordered_pair(X4,X5),cartesian_product2(X2,X3))
| ~ in(ordered_pair(X4,X5),cartesian_product2(X1,X0)) ) )
& cartesian_product2(X2,X3) != cartesian_product2(X1,X0) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
? [X2,X3,X1,X0] :
( ! [X4,X5] :
( in(ordered_pair(X4,X5),cartesian_product2(X1,X0))
<=> in(ordered_pair(X4,X5),cartesian_product2(X2,X3)) )
& cartesian_product2(X2,X3) != cartesian_product2(X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
~ ! [X0,X1,X3,X2] :
( ! [X4,X5] :
( in(ordered_pair(X4,X5),cartesian_product2(X1,X0))
<=> in(ordered_pair(X4,X5),cartesian_product2(X2,X3)) )
=> cartesian_product2(X2,X3) = cartesian_product2(X1,X0) ),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X3,X2,X0,X1] :
( ! [X4,X5] :
( in(ordered_pair(X4,X5),cartesian_product2(X2,X3))
<=> in(ordered_pair(X4,X5),cartesian_product2(X0,X1)) )
=> cartesian_product2(X0,X1) = cartesian_product2(X2,X3) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X3,X2,X0,X1] :
( ! [X4,X5] :
( in(ordered_pair(X4,X5),cartesian_product2(X2,X3))
<=> in(ordered_pair(X4,X5),cartesian_product2(X0,X1)) )
=> cartesian_product2(X0,X1) = cartesian_product2(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t108_zfmisc_1) ).
fof(f95,plain,
( in(sK9(cartesian_product2(sK5,sK6),cartesian_product2(sK7,sK8)),cartesian_product2(sK5,sK6))
| cartesian_product2(sK5,sK6) = cartesian_product2(sK7,sK8) ),
inference(factoring,[],[f88]) ).
fof(f88,plain,
! [X8] :
( in(sK9(X8,cartesian_product2(sK7,sK8)),cartesian_product2(sK5,sK6))
| in(sK9(X8,cartesian_product2(sK7,sK8)),X8)
| cartesian_product2(sK7,sK8) = X8 ),
inference(resolution,[],[f83,f42]) ).
fof(f42,plain,
! [X0,X1] :
( in(sK9(X0,X1),X1)
| in(sK9(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK9(X0,X1),X0)
| ~ in(sK9(X0,X1),X1) )
& ( in(sK9(X0,X1),X0)
| in(sK9(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f27,f28]) ).
fof(f28,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X0)
| ~ in(X2,X1) )
& ( in(X2,X0)
| in(X2,X1) ) )
=> ( ( ~ in(sK9(X0,X1),X0)
| ~ in(sK9(X0,X1),X1) )
& ( in(sK9(X0,X1),X0)
| in(sK9(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X0)
| ~ in(X2,X1) )
& ( in(X2,X0)
| in(X2,X1) ) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X1)
<~> in(X2,X0) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X1,X0] :
( ! [X2] :
( in(X2,X1)
<=> in(X2,X0) )
=> X0 = X1 ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(f83,plain,
! [X0] :
( ~ in(X0,cartesian_product2(sK7,sK8))
| in(X0,cartesian_product2(sK5,sK6)) ),
inference(duplicate_literal_removal,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ~ in(X0,cartesian_product2(sK7,sK8))
| in(X0,cartesian_product2(sK5,sK6))
| ~ in(X0,cartesian_product2(sK7,sK8)) ),
inference(resolution,[],[f81,f46]) ).
fof(f46,plain,
! [X2,X1,X8] :
( in(sK3(X1,X2,X8),X2)
| ~ in(X8,cartesian_product2(X1,X2)) ),
inference(equality_resolution,[],[f31]) ).
fof(f31,plain,
! [X2,X0,X1,X8] :
( in(sK3(X1,X2,X8),X2)
| ~ in(X8,X0)
| cartesian_product2(X1,X2) != X0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( cartesian_product2(X1,X2) = X0
| ( ( ~ in(sK0(X0,X1,X2),X0)
| ! [X4,X5] :
( sK0(X0,X1,X2) != ordered_pair(X5,X4)
| ~ in(X5,X1)
| ~ in(X4,X2) ) )
& ( in(sK0(X0,X1,X2),X0)
| ( sK0(X0,X1,X2) = ordered_pair(sK2(X0,X1,X2),sK1(X0,X1,X2))
& in(sK2(X0,X1,X2),X1)
& in(sK1(X0,X1,X2),X2) ) ) ) )
& ( ! [X8] :
( ( ( ordered_pair(sK4(X1,X2,X8),sK3(X1,X2,X8)) = X8
& in(sK4(X1,X2,X8),X1)
& in(sK3(X1,X2,X8),X2) )
| ~ in(X8,X0) )
& ( in(X8,X0)
| ! [X11,X12] :
( ordered_pair(X12,X11) != X8
| ~ in(X12,X1)
| ~ in(X11,X2) ) ) )
| cartesian_product2(X1,X2) != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f18,f21,f20,f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X0)
| ! [X4,X5] :
( ordered_pair(X5,X4) != X3
| ~ in(X5,X1)
| ~ in(X4,X2) ) )
& ( in(X3,X0)
| ? [X6,X7] :
( ordered_pair(X7,X6) = X3
& in(X7,X1)
& in(X6,X2) ) ) )
=> ( ( ~ in(sK0(X0,X1,X2),X0)
| ! [X5,X4] :
( sK0(X0,X1,X2) != ordered_pair(X5,X4)
| ~ in(X5,X1)
| ~ in(X4,X2) ) )
& ( in(sK0(X0,X1,X2),X0)
| ? [X7,X6] :
( sK0(X0,X1,X2) = ordered_pair(X7,X6)
& in(X7,X1)
& in(X6,X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ? [X7,X6] :
( sK0(X0,X1,X2) = ordered_pair(X7,X6)
& in(X7,X1)
& in(X6,X2) )
=> ( sK0(X0,X1,X2) = ordered_pair(sK2(X0,X1,X2),sK1(X0,X1,X2))
& in(sK2(X0,X1,X2),X1)
& in(sK1(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X1,X2,X8] :
( ? [X9,X10] :
( ordered_pair(X10,X9) = X8
& in(X10,X1)
& in(X9,X2) )
=> ( ordered_pair(sK4(X1,X2,X8),sK3(X1,X2,X8)) = X8
& in(sK4(X1,X2,X8),X1)
& in(sK3(X1,X2,X8),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( cartesian_product2(X1,X2) = X0
| ? [X3] :
( ( ~ in(X3,X0)
| ! [X4,X5] :
( ordered_pair(X5,X4) != X3
| ~ in(X5,X1)
| ~ in(X4,X2) ) )
& ( in(X3,X0)
| ? [X6,X7] :
( ordered_pair(X7,X6) = X3
& in(X7,X1)
& in(X6,X2) ) ) ) )
& ( ! [X8] :
( ( ? [X9,X10] :
( ordered_pair(X10,X9) = X8
& in(X10,X1)
& in(X9,X2) )
| ~ in(X8,X0) )
& ( in(X8,X0)
| ! [X11,X12] :
( ordered_pair(X12,X11) != X8
| ~ in(X12,X1)
| ~ in(X11,X2) ) ) )
| cartesian_product2(X1,X2) != X0 ) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X1,X0,X2] :
( ( cartesian_product2(X0,X2) = X1
| ? [X3] :
( ( ~ in(X3,X1)
| ! [X5,X4] :
( ordered_pair(X4,X5) != X3
| ~ in(X4,X0)
| ~ in(X5,X2) ) )
& ( in(X3,X1)
| ? [X5,X4] :
( ordered_pair(X4,X5) = X3
& in(X4,X0)
& in(X5,X2) ) ) ) )
& ( ! [X3] :
( ( ? [X5,X4] :
( ordered_pair(X4,X5) = X3
& in(X4,X0)
& in(X5,X2) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ! [X5,X4] :
( ordered_pair(X4,X5) != X3
| ~ in(X4,X0)
| ~ in(X5,X2) ) ) )
| cartesian_product2(X0,X2) != X1 ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X1,X0,X2] :
( cartesian_product2(X0,X2) = X1
<=> ! [X3] :
( ? [X5,X4] :
( ordered_pair(X4,X5) = X3
& in(X4,X0)
& in(X5,X2) )
<=> in(X3,X1) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X2,X1] :
( ! [X3] :
( in(X3,X2)
<=> ? [X4,X5] :
( in(X4,X0)
& in(X5,X1)
& ordered_pair(X4,X5) = X3 ) )
<=> cartesian_product2(X0,X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1) ).
fof(f81,plain,
! [X0,X1] :
( ~ in(sK3(sK7,X0,X1),sK8)
| in(X1,cartesian_product2(sK5,sK6))
| ~ in(X1,cartesian_product2(sK7,X0)) ),
inference(duplicate_literal_removal,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ in(sK3(sK7,X0,X1),sK8)
| ~ in(X1,cartesian_product2(sK7,X0))
| in(X1,cartesian_product2(sK5,sK6))
| ~ in(X1,cartesian_product2(sK7,X0)) ),
inference(resolution,[],[f65,f45]) ).
fof(f45,plain,
! [X2,X1,X8] :
( in(sK4(X1,X2,X8),X1)
| ~ in(X8,cartesian_product2(X1,X2)) ),
inference(equality_resolution,[],[f32]) ).
fof(f32,plain,
! [X2,X0,X1,X8] :
( in(sK4(X1,X2,X8),X1)
| ~ in(X8,X0)
| cartesian_product2(X1,X2) != X0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f65,plain,
! [X11,X12,X13] :
( ~ in(sK4(X11,X12,X13),sK7)
| ~ in(sK3(X11,X12,X13),sK8)
| in(X13,cartesian_product2(sK5,sK6))
| ~ in(X13,cartesian_product2(X11,X12)) ),
inference(superposition,[],[f55,f44]) ).
fof(f44,plain,
! [X2,X1,X8] :
( ordered_pair(sK4(X1,X2,X8),sK3(X1,X2,X8)) = X8
| ~ in(X8,cartesian_product2(X1,X2)) ),
inference(equality_resolution,[],[f33]) ).
fof(f33,plain,
! [X2,X0,X1,X8] :
( ordered_pair(sK4(X1,X2,X8),sK3(X1,X2,X8)) = X8
| ~ in(X8,X0)
| cartesian_product2(X1,X2) != X0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f55,plain,
! [X0,X1] :
( in(ordered_pair(X1,X0),cartesian_product2(sK5,sK6))
| ~ in(X0,sK8)
| ~ in(X1,sK7) ),
inference(resolution,[],[f48,f40]) ).
fof(f40,plain,
! [X4,X5] :
( ~ in(ordered_pair(X4,X5),cartesian_product2(sK7,sK8))
| in(ordered_pair(X4,X5),cartesian_product2(sK5,sK6)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f48,plain,
! [X2,X11,X1,X12] :
( in(ordered_pair(X12,X11),cartesian_product2(X1,X2))
| ~ in(X11,X2)
| ~ in(X12,X1) ),
inference(equality_resolution,[],[f47]) ).
fof(f47,plain,
! [X2,X0,X11,X1,X12] :
( in(ordered_pair(X12,X11),X0)
| ~ in(X12,X1)
| ~ in(X11,X2)
| cartesian_product2(X1,X2) != X0 ),
inference(equality_resolution,[],[f30]) ).
fof(f30,plain,
! [X2,X0,X11,X1,X8,X12] :
( in(X8,X0)
| ordered_pair(X12,X11) != X8
| ~ in(X12,X1)
| ~ in(X11,X2)
| cartesian_product2(X1,X2) != X0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f101,plain,
( ! [X0,X1] : ~ in(sK9(cartesian_product2(sK5,sK6),cartesian_product2(sK7,sK8)),cartesian_product2(X0,X1))
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl10_1
<=> ! [X0,X1] : ~ in(sK9(cartesian_product2(sK5,sK6),cartesian_product2(sK7,sK8)),cartesian_product2(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f113,plain,
~ spl10_2,
inference(avatar_contradiction_clause,[],[f112]) ).
fof(f112,plain,
( $false
| ~ spl10_2 ),
inference(subsumption_resolution,[],[f111,f96]) ).
fof(f111,plain,
( ~ in(sK9(cartesian_product2(sK5,sK6),cartesian_product2(sK7,sK8)),cartesian_product2(sK5,sK6))
| ~ spl10_2 ),
inference(subsumption_resolution,[],[f109,f39]) ).
fof(f109,plain,
( cartesian_product2(sK5,sK6) = cartesian_product2(sK7,sK8)
| ~ in(sK9(cartesian_product2(sK5,sK6),cartesian_product2(sK7,sK8)),cartesian_product2(sK5,sK6))
| ~ spl10_2 ),
inference(resolution,[],[f105,f43]) ).
fof(f43,plain,
! [X0,X1] :
( ~ in(sK9(X0,X1),X1)
| ~ in(sK9(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f29]) ).
fof(f105,plain,
( in(sK9(cartesian_product2(sK5,sK6),cartesian_product2(sK7,sK8)),cartesian_product2(sK7,sK8))
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl10_2
<=> in(sK9(cartesian_product2(sK5,sK6),cartesian_product2(sK7,sK8)),cartesian_product2(sK7,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f106,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f97,f103,f100]) ).
fof(f97,plain,
! [X0,X1] :
( in(sK9(cartesian_product2(sK5,sK6),cartesian_product2(sK7,sK8)),cartesian_product2(sK7,sK8))
| ~ in(sK9(cartesian_product2(sK5,sK6),cartesian_product2(sK7,sK8)),cartesian_product2(X0,X1)) ),
inference(resolution,[],[f96,f63]) ).
fof(f63,plain,
! [X3,X4,X5] :
( ~ in(X5,cartesian_product2(sK5,sK6))
| ~ in(X5,cartesian_product2(X3,X4))
| in(X5,cartesian_product2(sK7,sK8)) ),
inference(superposition,[],[f41,f44]) ).
fof(f41,plain,
! [X4,X5] :
( ~ in(ordered_pair(X4,X5),cartesian_product2(sK5,sK6))
| in(ordered_pair(X4,X5),cartesian_product2(sK7,sK8)) ),
inference(cnf_transformation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET955+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n006.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 14:30:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (9463)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)
% 0.19/0.50 % (9480)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)
% 0.19/0.51 % (9470)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)
% 0.19/0.51 % (9463)Refutation not found, incomplete strategy% (9463)------------------------------
% 0.19/0.51 % (9463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (9463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (9463)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (9463)Memory used [KB]: 6012
% 0.19/0.51 % (9463)Time elapsed: 0.110 s
% 0.19/0.51 % (9463)Instructions burned: 2 (million)
% 0.19/0.51 % (9463)------------------------------
% 0.19/0.51 % (9463)------------------------------
% 1.30/0.51 % (9470)Refutation not found, incomplete strategy% (9470)------------------------------
% 1.30/0.51 % (9470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.51 % (9470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.51 % (9470)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.51
% 1.30/0.51 % (9470)Memory used [KB]: 6012
% 1.30/0.51 % (9470)Time elapsed: 0.117 s
% 1.30/0.51 % (9470)Instructions burned: 3 (million)
% 1.30/0.51 % (9470)------------------------------
% 1.30/0.51 % (9470)------------------------------
% 1.30/0.52 % (9485)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)
% 1.30/0.52 % (9478)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)
% 1.30/0.52 % (9478)Instruction limit reached!
% 1.30/0.52 % (9478)------------------------------
% 1.30/0.52 % (9478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52 % (9464)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)
% 1.30/0.52 % (9461)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)
% 1.30/0.52 % (9465)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)
% 1.30/0.52 % (9468)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)
% 1.30/0.52 % (9462)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)
% 1.30/0.53 % (9462)Instruction limit reached!
% 1.30/0.53 % (9462)------------------------------
% 1.30/0.53 % (9462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53 % (9464)Instruction limit reached!
% 1.30/0.53 % (9464)------------------------------
% 1.30/0.53 % (9464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53 % (9486)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)
% 1.45/0.53 % (9478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53 % (9478)Termination reason: Unknown
% 1.45/0.53 % (9478)Termination phase: Saturation
% 1.45/0.53
% 1.45/0.53 % (9478)Memory used [KB]: 5884
% 1.45/0.53 % (9478)Time elapsed: 0.003 s
% 1.45/0.53 % (9478)Instructions burned: 3 (million)
% 1.45/0.53 % (9478)------------------------------
% 1.45/0.53 % (9478)------------------------------
% 1.45/0.53 % (9472)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)
% 1.45/0.53 % (9467)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)
% 1.45/0.53 % (9475)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)
% 1.45/0.53 % (9472)Refutation not found, incomplete strategy% (9472)------------------------------
% 1.45/0.53 % (9472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53 % (9472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53 % (9472)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.53
% 1.45/0.53 % (9472)Memory used [KB]: 1407
% 1.45/0.53 % (9472)Time elapsed: 0.124 s
% 1.45/0.53 % (9472)Instructions burned: 3 (million)
% 1.45/0.53 % (9472)------------------------------
% 1.45/0.53 % (9472)------------------------------
% 1.45/0.53 % (9477)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.45/0.53 % (9480)Instruction limit reached!
% 1.45/0.53 % (9480)------------------------------
% 1.45/0.53 % (9480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53 % (9480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53 % (9480)Termination reason: Unknown
% 1.45/0.53 % (9480)Termination phase: Saturation
% 1.45/0.53
% 1.45/0.53 % (9480)Memory used [KB]: 6140
% 1.45/0.53 % (9480)Time elapsed: 0.133 s
% 1.45/0.53 % (9480)Instructions burned: 31 (million)
% 1.45/0.53 % (9480)------------------------------
% 1.45/0.53 % (9480)------------------------------
% 1.45/0.53 % (9477)Instruction limit reached!
% 1.45/0.53 % (9477)------------------------------
% 1.45/0.53 % (9477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53 % (9477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53 % (9477)Termination reason: Unknown
% 1.45/0.53 % (9477)Termination phase: Finite model building preprocessing
% 1.45/0.53
% 1.45/0.53 % (9477)Memory used [KB]: 6012
% 1.45/0.53 % (9477)Time elapsed: 0.003 s
% 1.45/0.53 % (9477)Instructions burned: 5 (million)
% 1.45/0.53 % (9477)------------------------------
% 1.45/0.53 % (9477)------------------------------
% 1.45/0.53 % (9476)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)
% 1.45/0.53 % (9468)Refutation not found, incomplete strategy% (9468)------------------------------
% 1.45/0.53 % (9468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53 % (9468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53 % (9468)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.53
% 1.45/0.53 % (9468)Memory used [KB]: 6012
% 1.45/0.53 % (9468)Time elapsed: 0.129 s
% 1.45/0.53 % (9468)Instructions burned: 4 (million)
% 1.45/0.53 % (9468)------------------------------
% 1.45/0.53 % (9468)------------------------------
% 1.45/0.53 % (9471)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)
% 1.45/0.53 % (9461)Refutation not found, incomplete strategy% (9461)------------------------------
% 1.45/0.53 % (9461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53 % (9461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53 % (9461)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.53
% 1.45/0.53 % (9461)Memory used [KB]: 6012
% 1.45/0.53 % (9461)Time elapsed: 0.140 s
% 1.45/0.53 % (9461)Instructions burned: 2 (million)
% 1.45/0.53 % (9461)------------------------------
% 1.45/0.53 % (9461)------------------------------
% 1.45/0.54 % (9460)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.45/0.54 % (9471)Refutation not found, incomplete strategy% (9471)------------------------------
% 1.45/0.54 % (9471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (9471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (9471)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.54
% 1.45/0.54 % (9471)Memory used [KB]: 6012
% 1.45/0.54 % (9471)Time elapsed: 0.151 s
% 1.45/0.54 % (9471)Instructions burned: 5 (million)
% 1.45/0.54 % (9471)------------------------------
% 1.45/0.54 % (9471)------------------------------
% 1.45/0.54 % (9469)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)
% 1.45/0.54 % (9469)Refutation not found, incomplete strategy% (9469)------------------------------
% 1.45/0.54 % (9469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (9469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (9469)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.54
% 1.45/0.54 % (9469)Memory used [KB]: 6012
% 1.45/0.54 % (9469)Time elapsed: 0.147 s
% 1.45/0.54 % (9469)Instructions burned: 2 (million)
% 1.45/0.54 % (9469)------------------------------
% 1.45/0.54 % (9469)------------------------------
% 1.45/0.54 % (9462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (9462)Termination reason: Unknown
% 1.45/0.54 % (9462)Termination phase: Saturation
% 1.45/0.54
% 1.45/0.54 % (9462)Memory used [KB]: 5884
% 1.45/0.54 % (9462)Time elapsed: 0.004 s
% 1.45/0.54 % (9462)Instructions burned: 3 (million)
% 1.45/0.54 % (9462)------------------------------
% 1.45/0.54 % (9462)------------------------------
% 1.45/0.54 % (9484)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)
% 1.45/0.54 % (9479)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)
% 1.45/0.54 % (9482)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)
% 1.45/0.54 % (9489)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)
% 1.45/0.54 % (9475)Instruction limit reached!
% 1.45/0.54 % (9475)------------------------------
% 1.45/0.54 % (9475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (9475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (9475)Termination reason: Unknown
% 1.45/0.54 % (9475)Termination phase: Saturation
% 1.45/0.54
% 1.45/0.54 % (9475)Memory used [KB]: 6012
% 1.45/0.54 % (9475)Time elapsed: 0.136 s
% 1.45/0.54 % (9475)Instructions burned: 7 (million)
% 1.45/0.54 % (9475)------------------------------
% 1.45/0.54 % (9475)------------------------------
% 1.45/0.54 % (9487)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)
% 1.45/0.54 % (9464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (9464)Termination reason: Unknown
% 1.45/0.54 % (9464)Termination phase: Saturation
% 1.45/0.54
% 1.45/0.54 % (9464)Memory used [KB]: 6268
% 1.45/0.54 % (9464)Time elapsed: 0.132 s
% 1.45/0.54 % (9464)Instructions burned: 14 (million)
% 1.45/0.54 % (9464)------------------------------
% 1.45/0.54 % (9464)------------------------------
% 1.45/0.55 % (9484)Refutation not found, incomplete strategy% (9484)------------------------------
% 1.45/0.55 % (9484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (9488)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)
% 1.45/0.55 % (9474)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)
% 1.45/0.55 % (9488)Refutation not found, incomplete strategy% (9488)------------------------------
% 1.45/0.55 % (9488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (9474)Instruction limit reached!
% 1.45/0.55 % (9474)------------------------------
% 1.45/0.55 % (9474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (9488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (9488)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.55 % (9474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55
% 1.45/0.55 % (9474)Termination reason: Unknown
% 1.45/0.55 % (9474)Termination phase: Saturation
% 1.45/0.55
% 1.45/0.55 % (9488)Memory used [KB]: 6012
% 1.45/0.55 % (9488)Time elapsed: 0.156 s
% 1.45/0.55 % (9488)Instructions burned: 3 (million)
% 1.45/0.55 % (9474)Memory used [KB]: 6012
% 1.45/0.55 % (9488)------------------------------
% 1.45/0.55 % (9488)------------------------------
% 1.45/0.55 % (9474)Time elapsed: 0.123 s
% 1.45/0.55 % (9474)Instructions burned: 4 (million)
% 1.45/0.55 % (9474)------------------------------
% 1.45/0.55 % (9474)------------------------------
% 1.45/0.55 % (9466)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)
% 1.45/0.55 % (9484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (9484)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.55
% 1.45/0.55 % (9484)Memory used [KB]: 6012
% 1.45/0.55 % (9484)Time elapsed: 0.152 s
% 1.45/0.55 % (9484)Instructions burned: 10 (million)
% 1.45/0.55 % (9484)------------------------------
% 1.45/0.55 % (9484)------------------------------
% 1.45/0.55 % (9481)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)
% 1.45/0.55 % (9466)First to succeed.
% 1.45/0.56 % (9466)Refutation found. Thanks to Tanya!
% 1.45/0.56 % SZS status Theorem for theBenchmark
% 1.45/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.56 % (9466)------------------------------
% 1.45/0.56 % (9466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.56 % (9466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56 % (9466)Termination reason: Refutation
% 1.45/0.56
% 1.45/0.56 % (9466)Memory used [KB]: 6012
% 1.45/0.56 % (9466)Time elapsed: 0.139 s
% 1.45/0.56 % (9466)Instructions burned: 6 (million)
% 1.45/0.56 % (9466)------------------------------
% 1.45/0.56 % (9466)------------------------------
% 1.45/0.56 % (9459)Success in time 0.206 s
%------------------------------------------------------------------------------