TSTP Solution File: SEU078+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU078+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_sat --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 18:31:53 EDT 2022
% Result : Theorem 3.09s 0.86s
% Output : Refutation 3.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 40
% Syntax : Number of formulae : 203 ( 19 unt; 0 def)
% Number of atoms : 767 ( 156 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 941 ( 377 ~; 395 |; 111 &)
% ( 36 <=>; 20 =>; 0 <=; 2 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 13 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 5 con; 0-3 aty)
% Number of variables : 313 ( 260 !; 53 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5404,plain,
$false,
inference(avatar_sat_refutation,[],[f252,f256,f1190,f1223,f1253,f1259,f2772,f2778,f2793,f2813,f2815,f5101,f5402]) ).
fof(f5402,plain,
( ~ spl25_2
| ~ spl25_3
| ~ spl25_21 ),
inference(avatar_contradiction_clause,[],[f5401]) ).
fof(f5401,plain,
( $false
| ~ spl25_2
| ~ spl25_3
| ~ spl25_21 ),
inference(subsumption_resolution,[],[f5362,f185]) ).
fof(f185,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f5362,plain,
( ~ subset(sF22,sF22)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_21 ),
inference(superposition,[],[f255,f5217]) ).
fof(f5217,plain,
( sF22 = singleton(sK17(sK2,sK3))
| ~ spl25_2
| ~ spl25_21 ),
inference(forward_demodulation,[],[f5216,f415]) ).
fof(f415,plain,
sF23(sK3) = sF22,
inference(forward_demodulation,[],[f413,f240]) ).
fof(f240,plain,
sF22 = relation_inverse_image(sK2,sF21),
introduced(function_definition,[]) ).
fof(f413,plain,
sF23(sK3) = relation_inverse_image(sK2,sF21),
inference(superposition,[],[f242,f239]) ).
fof(f239,plain,
sF21 = singleton(sK3),
introduced(function_definition,[]) ).
fof(f242,plain,
! [X3] : relation_inverse_image(sK2,singleton(X3)) = sF23(X3),
introduced(function_definition,[]) ).
fof(f5216,plain,
( sF23(sK3) = singleton(sK17(sK2,sK3))
| ~ spl25_2
| ~ spl25_21 ),
inference(forward_demodulation,[],[f5215,f242]) ).
fof(f5215,plain,
( relation_inverse_image(sK2,singleton(sK3)) = singleton(sK17(sK2,sK3))
| ~ spl25_2
| ~ spl25_21 ),
inference(subsumption_resolution,[],[f5214,f251]) ).
fof(f251,plain,
( one_to_one(sK2)
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f249,plain,
( spl25_2
<=> one_to_one(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).
fof(f5214,plain,
( relation_inverse_image(sK2,singleton(sK3)) = singleton(sK17(sK2,sK3))
| ~ one_to_one(sK2)
| ~ spl25_21 ),
inference(subsumption_resolution,[],[f5213,f165]) ).
fof(f165,plain,
function(sK2),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( function(sK2)
& relation(sK2)
& ( ! [X2] : ~ subset(relation_inverse_image(sK2,singleton(sK3)),singleton(X2))
| ~ one_to_one(sK2) )
& ( ! [X3] : subset(relation_inverse_image(sK2,singleton(X3)),singleton(sK4(X3)))
| one_to_one(sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f99,f102,f101,f100]) ).
fof(f100,plain,
( ? [X0] :
( function(X0)
& relation(X0)
& ( ? [X1] :
! [X2] : ~ subset(relation_inverse_image(X0,singleton(X1)),singleton(X2))
| ~ one_to_one(X0) )
& ( ! [X3] :
? [X4] : subset(relation_inverse_image(X0,singleton(X3)),singleton(X4))
| one_to_one(X0) ) )
=> ( function(sK2)
& relation(sK2)
& ( ? [X1] :
! [X2] : ~ subset(relation_inverse_image(sK2,singleton(X1)),singleton(X2))
| ~ one_to_one(sK2) )
& ( ! [X3] :
? [X4] : subset(relation_inverse_image(sK2,singleton(X3)),singleton(X4))
| one_to_one(sK2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
( ? [X1] :
! [X2] : ~ subset(relation_inverse_image(sK2,singleton(X1)),singleton(X2))
=> ! [X2] : ~ subset(relation_inverse_image(sK2,singleton(sK3)),singleton(X2)) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X3] :
( ? [X4] : subset(relation_inverse_image(sK2,singleton(X3)),singleton(X4))
=> subset(relation_inverse_image(sK2,singleton(X3)),singleton(sK4(X3))) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( function(X0)
& relation(X0)
& ( ? [X1] :
! [X2] : ~ subset(relation_inverse_image(X0,singleton(X1)),singleton(X2))
| ~ one_to_one(X0) )
& ( ! [X3] :
? [X4] : subset(relation_inverse_image(X0,singleton(X3)),singleton(X4))
| one_to_one(X0) ) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
? [X0] :
( function(X0)
& relation(X0)
& ( ? [X1] :
! [X2] : ~ subset(relation_inverse_image(X0,singleton(X1)),singleton(X2))
| ~ one_to_one(X0) )
& ( ! [X1] :
? [X2] : subset(relation_inverse_image(X0,singleton(X1)),singleton(X2))
| one_to_one(X0) ) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
? [X0] :
( function(X0)
& relation(X0)
& ( ? [X1] :
! [X2] : ~ subset(relation_inverse_image(X0,singleton(X1)),singleton(X2))
| ~ one_to_one(X0) )
& ( ! [X1] :
? [X2] : subset(relation_inverse_image(X0,singleton(X1)),singleton(X2))
| one_to_one(X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
? [X0] :
( function(X0)
& relation(X0)
& ( one_to_one(X0)
<~> ! [X1] :
? [X2] : subset(relation_inverse_image(X0,singleton(X1)),singleton(X2)) ) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
? [X0] :
( ( one_to_one(X0)
<~> ! [X1] :
? [X2] : subset(relation_inverse_image(X0,singleton(X1)),singleton(X2)) )
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
<=> ! [X1] :
? [X2] : subset(relation_inverse_image(X0,singleton(X1)),singleton(X2)) ) ),
inference(negated_conjecture,[],[f31]) ).
fof(f31,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
<=> ! [X1] :
? [X2] : subset(relation_inverse_image(X0,singleton(X1)),singleton(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t159_funct_1) ).
fof(f5213,plain,
( ~ function(sK2)
| relation_inverse_image(sK2,singleton(sK3)) = singleton(sK17(sK2,sK3))
| ~ one_to_one(sK2)
| ~ spl25_21 ),
inference(subsumption_resolution,[],[f5208,f164]) ).
fof(f164,plain,
relation(sK2),
inference(cnf_transformation,[],[f103]) ).
fof(f5208,plain,
( ~ relation(sK2)
| ~ one_to_one(sK2)
| relation_inverse_image(sK2,singleton(sK3)) = singleton(sK17(sK2,sK3))
| ~ function(sK2)
| ~ spl25_21 ),
inference(resolution,[],[f1316,f221]) ).
fof(f221,plain,
! [X0,X1] :
( ~ in(X1,relation_rng(X0))
| relation_inverse_image(X0,singleton(X1)) = singleton(sK17(X0,X1))
| ~ function(X0)
| ~ one_to_one(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ~ relation(X0)
| ( ( ! [X1] :
( relation_inverse_image(X0,singleton(X1)) = singleton(sK17(X0,X1))
| ~ in(X1,relation_rng(X0)) )
| ~ one_to_one(X0) )
& ( one_to_one(X0)
| ( ! [X4] : relation_inverse_image(X0,singleton(sK18(X0))) != singleton(X4)
& in(sK18(X0),relation_rng(X0)) ) ) )
| ~ function(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f138,f140,f139]) ).
fof(f139,plain,
! [X0,X1] :
( ? [X2] : relation_inverse_image(X0,singleton(X1)) = singleton(X2)
=> relation_inverse_image(X0,singleton(X1)) = singleton(sK17(X0,X1)) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0] :
( ? [X3] :
( ! [X4] : singleton(X4) != relation_inverse_image(X0,singleton(X3))
& in(X3,relation_rng(X0)) )
=> ( ! [X4] : relation_inverse_image(X0,singleton(sK18(X0))) != singleton(X4)
& in(sK18(X0),relation_rng(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X0] :
( ~ relation(X0)
| ( ( ! [X1] :
( ? [X2] : relation_inverse_image(X0,singleton(X1)) = singleton(X2)
| ~ in(X1,relation_rng(X0)) )
| ~ one_to_one(X0) )
& ( one_to_one(X0)
| ? [X3] :
( ! [X4] : singleton(X4) != relation_inverse_image(X0,singleton(X3))
& in(X3,relation_rng(X0)) ) ) )
| ~ function(X0) ),
inference(rectify,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ~ relation(X0)
| ( ( ! [X1] :
( ? [X2] : relation_inverse_image(X0,singleton(X1)) = singleton(X2)
| ~ in(X1,relation_rng(X0)) )
| ~ one_to_one(X0) )
& ( one_to_one(X0)
| ? [X1] :
( ! [X2] : relation_inverse_image(X0,singleton(X1)) != singleton(X2)
& in(X1,relation_rng(X0)) ) ) )
| ~ function(X0) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ~ relation(X0)
| ( ! [X1] :
( ? [X2] : relation_inverse_image(X0,singleton(X1)) = singleton(X2)
| ~ in(X1,relation_rng(X0)) )
<=> one_to_one(X0) )
| ~ function(X0) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] : relation_inverse_image(X0,singleton(X1)) = singleton(X2)
| ~ in(X1,relation_rng(X0)) )
<=> one_to_one(X0) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ! [X1] :
~ ( in(X1,relation_rng(X0))
& ! [X2] : relation_inverse_image(X0,singleton(X1)) != singleton(X2) )
<=> one_to_one(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t144_funct_1) ).
fof(f1316,plain,
( in(sK3,relation_rng(sK2))
| ~ spl25_21 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f1314,plain,
( spl25_21
<=> in(sK3,relation_rng(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_21])]) ).
fof(f255,plain,
( ! [X2] : ~ subset(sF22,singleton(X2))
| ~ spl25_3 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f254,plain,
( spl25_3
<=> ! [X2] : ~ subset(sF22,singleton(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_3])]) ).
fof(f5101,plain,
( ~ spl25_1
| ~ spl25_20
| ~ spl25_59
| ~ spl25_71 ),
inference(avatar_contradiction_clause,[],[f5100]) ).
fof(f5100,plain,
( $false
| ~ spl25_1
| ~ spl25_20
| ~ spl25_59
| ~ spl25_71 ),
inference(subsumption_resolution,[],[f5069,f179]) ).
fof(f179,plain,
empty(empty_set),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( empty(empty_set)
& relation(empty_set) ),
inference(pure_predicate_removal,[],[f9]) ).
fof(f9,axiom,
( relation(empty_set)
& empty(empty_set)
& relation_empty_yielding(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(f5069,plain,
( ~ empty(empty_set)
| ~ spl25_1
| ~ spl25_20
| ~ spl25_59
| ~ spl25_71 ),
inference(superposition,[],[f2983,f5062]) ).
fof(f5062,plain,
( empty_set = sF23(sK18(sK2))
| ~ spl25_1
| ~ spl25_20 ),
inference(equality_resolution,[],[f3102]) ).
fof(f3102,plain,
( ! [X19] :
( sF23(X19) != sF23(sK18(sK2))
| empty_set = sF23(X19) )
| ~ spl25_1
| ~ spl25_20 ),
inference(superposition,[],[f1305,f2848]) ).
fof(f2848,plain,
( ! [X0] :
( sF23(X0) = sF24(X0)
| empty_set = sF23(X0) )
| ~ spl25_1 ),
inference(resolution,[],[f247,f561]) ).
fof(f561,plain,
! [X2,X1] :
( ~ subset(X2,sF24(X1))
| sF24(X1) = X2
| empty_set = X2 ),
inference(superposition,[],[f174,f243]) ).
fof(f243,plain,
! [X3] : singleton(sK4(X3)) = sF24(X3),
introduced(function_definition,[]) ).
fof(f174,plain,
! [X0,X1] :
( ~ subset(X0,singleton(X1))
| empty_set = X0
| singleton(X1) = X0 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ( empty_set = X0
| singleton(X1) = X0
| ~ subset(X0,singleton(X1)) )
& ( subset(X0,singleton(X1))
| ( empty_set != X0
& singleton(X1) != X0 ) ) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ( empty_set = X0
| singleton(X1) = X0
| ~ subset(X0,singleton(X1)) )
& ( subset(X0,singleton(X1))
| ( empty_set != X0
& singleton(X1) != X0 ) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( ( empty_set = X0
| singleton(X1) = X0 )
<=> subset(X0,singleton(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_zfmisc_1) ).
fof(f247,plain,
( ! [X3] : subset(sF23(X3),sF24(X3))
| ~ spl25_1 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl25_1
<=> ! [X3] : subset(sF23(X3),sF24(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).
fof(f1305,plain,
( ! [X0] : sF23(sK18(sK2)) != sF24(X0)
| ~ spl25_20 ),
inference(superposition,[],[f1258,f243]) ).
fof(f1258,plain,
( ! [X0] : singleton(X0) != sF23(sK18(sK2))
| ~ spl25_20 ),
inference(avatar_component_clause,[],[f1257]) ).
fof(f1257,plain,
( spl25_20
<=> ! [X0] : singleton(X0) != sF23(sK18(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_20])]) ).
fof(f2983,plain,
( ~ empty(sF23(sK18(sK2)))
| ~ spl25_59
| ~ spl25_71 ),
inference(resolution,[],[f2974,f217]) ).
fof(f217,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
~ ( in(X1,X0)
& empty(X0) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X1,X0] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f2974,plain,
( in(sK9(sK2,sK18(sK2)),sF23(sK18(sK2)))
| ~ spl25_59
| ~ spl25_71 ),
inference(forward_demodulation,[],[f2973,f242]) ).
fof(f2973,plain,
( in(sK9(sK2,sK18(sK2)),relation_inverse_image(sK2,singleton(sK18(sK2))))
| ~ spl25_59
| ~ spl25_71 ),
inference(subsumption_resolution,[],[f2972,f2732]) ).
fof(f2732,plain,
( in(sK9(sK2,sK18(sK2)),relation_dom(sK2))
| ~ spl25_59 ),
inference(avatar_component_clause,[],[f2731]) ).
fof(f2731,plain,
( spl25_59
<=> in(sK9(sK2,sK18(sK2)),relation_dom(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_59])]) ).
fof(f2972,plain,
( in(sK9(sK2,sK18(sK2)),relation_inverse_image(sK2,singleton(sK18(sK2))))
| ~ in(sK9(sK2,sK18(sK2)),relation_dom(sK2))
| ~ spl25_71 ),
inference(subsumption_resolution,[],[f2971,f165]) ).
fof(f2971,plain,
( ~ function(sK2)
| ~ in(sK9(sK2,sK18(sK2)),relation_dom(sK2))
| in(sK9(sK2,sK18(sK2)),relation_inverse_image(sK2,singleton(sK18(sK2))))
| ~ spl25_71 ),
inference(subsumption_resolution,[],[f2965,f164]) ).
fof(f2965,plain,
( ~ relation(sK2)
| in(sK9(sK2,sK18(sK2)),relation_inverse_image(sK2,singleton(sK18(sK2))))
| ~ in(sK9(sK2,sK18(sK2)),relation_dom(sK2))
| ~ function(sK2)
| ~ spl25_71 ),
inference(superposition,[],[f1274,f2812]) ).
fof(f2812,plain,
( apply(sK2,sK9(sK2,sK18(sK2))) = sK18(sK2)
| ~ spl25_71 ),
inference(avatar_component_clause,[],[f2810]) ).
fof(f2810,plain,
( spl25_71
<=> apply(sK2,sK9(sK2,sK18(sK2))) = sK18(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_71])]) ).
fof(f1274,plain,
! [X3,X4] :
( in(X4,relation_inverse_image(X3,singleton(apply(X3,X4))))
| ~ function(X3)
| ~ in(X4,relation_dom(X3))
| ~ relation(X3) ),
inference(resolution,[],[f229,f234]) ).
fof(f234,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f233]) ).
fof(f233,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f192]) ).
fof(f192,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ( ( ~ in(sK8(X0,X1),X1)
| sK8(X0,X1) != X0 )
& ( in(sK8(X0,X1),X1)
| sK8(X0,X1) = X0 ) ) )
& ( ! [X3] :
( ( X0 = X3
| ~ in(X3,X1) )
& ( in(X3,X1)
| X0 != X3 ) )
| singleton(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f114,f115]) ).
fof(f115,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X1)
| X0 != X2 )
& ( in(X2,X1)
| X0 = X2 ) )
=> ( ( ~ in(sK8(X0,X1),X1)
| sK8(X0,X1) != X0 )
& ( in(sK8(X0,X1),X1)
| sK8(X0,X1) = X0 ) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| X0 != X2 )
& ( in(X2,X1)
| X0 = X2 ) ) )
& ( ! [X3] :
( ( X0 = X3
| ~ in(X3,X1) )
& ( in(X3,X1)
| X0 != X3 ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f113]) ).
fof(f113,plain,
! [X1,X0] :
( ( singleton(X1) = X0
| ? [X2] :
( ( ~ in(X2,X0)
| X1 != X2 )
& ( in(X2,X0)
| X1 = X2 ) ) )
& ( ! [X2] :
( ( X1 = X2
| ~ in(X2,X0) )
& ( in(X2,X0)
| X1 != X2 ) )
| singleton(X1) != X0 ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( singleton(X1) = X0
<=> ! [X2] :
( X1 = X2
<=> in(X2,X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( singleton(X0) = X1
<=> ! [X2] :
( X0 = X2
<=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f229,plain,
! [X2,X0,X4] :
( ~ in(apply(X0,X4),X2)
| ~ function(X0)
| ~ in(X4,relation_dom(X0))
| in(X4,relation_inverse_image(X0,X2))
| ~ relation(X0) ),
inference(equality_resolution,[],[f151]) ).
fof(f151,plain,
! [X2,X0,X1,X4] :
( ~ relation(X0)
| ~ function(X0)
| in(X4,X1)
| ~ in(apply(X0,X4),X2)
| ~ in(X4,relation_dom(X0))
| relation_inverse_image(X0,X2) != X1 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1,X2] :
( ( relation_inverse_image(X0,X2) = X1
| ( ( ~ in(sK1(X0,X1,X2),X1)
| ~ in(apply(X0,sK1(X0,X1,X2)),X2)
| ~ in(sK1(X0,X1,X2),relation_dom(X0)) )
& ( in(sK1(X0,X1,X2),X1)
| ( in(apply(X0,sK1(X0,X1,X2)),X2)
& in(sK1(X0,X1,X2),relation_dom(X0)) ) ) ) )
& ( ! [X4] :
( ( ( in(apply(X0,X4),X2)
& in(X4,relation_dom(X0)) )
| ~ in(X4,X1) )
& ( in(X4,X1)
| ~ in(apply(X0,X4),X2)
| ~ in(X4,relation_dom(X0)) ) )
| relation_inverse_image(X0,X2) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f94,f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X1)
| ~ in(apply(X0,X3),X2)
| ~ in(X3,relation_dom(X0)) )
& ( in(X3,X1)
| ( in(apply(X0,X3),X2)
& in(X3,relation_dom(X0)) ) ) )
=> ( ( ~ in(sK1(X0,X1,X2),X1)
| ~ in(apply(X0,sK1(X0,X1,X2)),X2)
| ~ in(sK1(X0,X1,X2),relation_dom(X0)) )
& ( in(sK1(X0,X1,X2),X1)
| ( in(apply(X0,sK1(X0,X1,X2)),X2)
& in(sK1(X0,X1,X2),relation_dom(X0)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1,X2] :
( ( relation_inverse_image(X0,X2) = X1
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(apply(X0,X3),X2)
| ~ in(X3,relation_dom(X0)) )
& ( in(X3,X1)
| ( in(apply(X0,X3),X2)
& in(X3,relation_dom(X0)) ) ) ) )
& ( ! [X4] :
( ( ( in(apply(X0,X4),X2)
& in(X4,relation_dom(X0)) )
| ~ in(X4,X1) )
& ( in(X4,X1)
| ~ in(apply(X0,X4),X2)
| ~ in(X4,relation_dom(X0)) ) )
| relation_inverse_image(X0,X2) != X1 ) ) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1,X2] :
( ( relation_inverse_image(X0,X2) = X1
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(apply(X0,X3),X2)
| ~ in(X3,relation_dom(X0)) )
& ( in(X3,X1)
| ( in(apply(X0,X3),X2)
& in(X3,relation_dom(X0)) ) ) ) )
& ( ! [X3] :
( ( ( in(apply(X0,X3),X2)
& in(X3,relation_dom(X0)) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ~ in(apply(X0,X3),X2)
| ~ in(X3,relation_dom(X0)) ) )
| relation_inverse_image(X0,X2) != X1 ) ) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1,X2] :
( ( relation_inverse_image(X0,X2) = X1
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(apply(X0,X3),X2)
| ~ in(X3,relation_dom(X0)) )
& ( in(X3,X1)
| ( in(apply(X0,X3),X2)
& in(X3,relation_dom(X0)) ) ) ) )
& ( ! [X3] :
( ( ( in(apply(X0,X3),X2)
& in(X3,relation_dom(X0)) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ~ in(apply(X0,X3),X2)
| ~ in(X3,relation_dom(X0)) ) )
| relation_inverse_image(X0,X2) != X1 ) ) ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1,X2] :
( relation_inverse_image(X0,X2) = X1
<=> ! [X3] :
( ( in(apply(X0,X3),X2)
& in(X3,relation_dom(X0)) )
<=> in(X3,X1) ) ) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ! [X1,X2] :
( relation_inverse_image(X0,X2) = X1
<=> ! [X3] :
( ( in(apply(X0,X3),X2)
& in(X3,relation_dom(X0)) )
<=> in(X3,X1) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1,X2] :
( relation_inverse_image(X0,X2) = X1
<=> ! [X3] :
( ( in(apply(X0,X3),X2)
& in(X3,relation_dom(X0)) )
<=> in(X3,X1) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X2,X1] :
( relation_inverse_image(X0,X1) = X2
<=> ! [X3] :
( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
<=> in(X3,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1) ).
fof(f2815,plain,
( spl25_65
| spl25_17 ),
inference(avatar_split_clause,[],[f2814,f1183,f2780]) ).
fof(f2780,plain,
( spl25_65
<=> in(sK13(sF22),relation_dom(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_65])]) ).
fof(f1183,plain,
( spl25_17
<=> empty(sF22) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_17])]) ).
fof(f2814,plain,
( in(sK13(sF22),relation_dom(sK2))
| spl25_17 ),
inference(subsumption_resolution,[],[f2360,f1184]) ).
fof(f1184,plain,
( ~ empty(sF22)
| spl25_17 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f2360,plain,
( in(sK13(sF22),relation_dom(sK2))
| empty(sF22) ),
inference(superposition,[],[f761,f415]) ).
fof(f761,plain,
! [X2] :
( in(sK13(sF23(X2)),relation_dom(sK2))
| empty(sF23(X2)) ),
inference(resolution,[],[f728,f489]) ).
fof(f489,plain,
! [X6] :
( in(sK13(X6),X6)
| empty(X6) ),
inference(resolution,[],[f222,f207]) ).
fof(f207,plain,
! [X0] : element(sK13(X0),X0),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] : element(sK13(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f8,f128]) ).
fof(f128,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK13(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f8,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f222,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( in(X1,X0)
| empty(X0)
| ~ element(X1,X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X1,X0] :
( empty(X0)
| in(X1,X0)
| ~ element(X1,X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( element(X1,X0)
=> ( empty(X0)
| in(X1,X0) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X1,X0] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f728,plain,
! [X2,X1] :
( ~ in(X2,sF23(X1))
| in(X2,relation_dom(sK2)) ),
inference(subsumption_resolution,[],[f727,f165]) ).
fof(f727,plain,
! [X2,X1] :
( in(X2,relation_dom(sK2))
| ~ function(sK2)
| ~ in(X2,sF23(X1)) ),
inference(subsumption_resolution,[],[f725,f164]) ).
fof(f725,plain,
! [X2,X1] :
( ~ relation(sK2)
| ~ in(X2,sF23(X1))
| in(X2,relation_dom(sK2))
| ~ function(sK2) ),
inference(superposition,[],[f228,f242]) ).
fof(f228,plain,
! [X2,X0,X4] :
( ~ in(X4,relation_inverse_image(X0,X2))
| in(X4,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f152]) ).
fof(f152,plain,
! [X2,X0,X1,X4] :
( ~ relation(X0)
| ~ function(X0)
| in(X4,relation_dom(X0))
| ~ in(X4,X1)
| relation_inverse_image(X0,X2) != X1 ),
inference(cnf_transformation,[],[f96]) ).
fof(f2813,plain,
( spl25_2
| spl25_71 ),
inference(avatar_split_clause,[],[f2808,f2810,f249]) ).
fof(f2808,plain,
( apply(sK2,sK9(sK2,sK18(sK2))) = sK18(sK2)
| one_to_one(sK2) ),
inference(subsumption_resolution,[],[f2665,f165]) ).
fof(f2665,plain,
( one_to_one(sK2)
| apply(sK2,sK9(sK2,sK18(sK2))) = sK18(sK2)
| ~ function(sK2) ),
inference(resolution,[],[f1177,f164]) ).
fof(f1177,plain,
! [X6] :
( ~ relation(X6)
| ~ function(X6)
| one_to_one(X6)
| sK18(X6) = apply(X6,sK9(X6,sK18(X6))) ),
inference(duplicate_literal_removal,[],[f1175]) ).
fof(f1175,plain,
! [X6] :
( sK18(X6) = apply(X6,sK9(X6,sK18(X6)))
| ~ relation(X6)
| ~ function(X6)
| ~ relation(X6)
| ~ function(X6)
| one_to_one(X6) ),
inference(resolution,[],[f238,f219]) ).
fof(f219,plain,
! [X0] :
( in(sK18(X0),relation_rng(X0))
| ~ relation(X0)
| ~ function(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f238,plain,
! [X2,X0] :
( ~ in(X2,relation_rng(X0))
| apply(X0,sK9(X0,X2)) = X2
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f200]) ).
fof(f200,plain,
! [X2,X0,X1] :
( apply(X0,sK9(X0,X2)) = X2
| ~ in(X2,X1)
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) )
& ( ( in(sK9(X0,X2),relation_dom(X0))
& apply(X0,sK9(X0,X2)) = X2 )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ( ( ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != sK10(X0,X1) )
| ~ in(sK10(X0,X1),X1) )
& ( ( in(sK11(X0,X1),relation_dom(X0))
& apply(X0,sK11(X0,X1)) = sK10(X0,X1) )
| in(sK10(X0,X1),X1) ) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f119,f122,f121,f120]) ).
fof(f120,plain,
! [X0,X2] :
( ? [X4] :
( in(X4,relation_dom(X0))
& apply(X0,X4) = X2 )
=> ( in(sK9(X0,X2),relation_dom(X0))
& apply(X0,sK9(X0,X2)) = X2 ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X0,X1] :
( ? [X5] :
( ( ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 )
| ~ in(X5,X1) )
& ( ? [X7] :
( in(X7,relation_dom(X0))
& apply(X0,X7) = X5 )
| in(X5,X1) ) )
=> ( ( ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != sK10(X0,X1) )
| ~ in(sK10(X0,X1),X1) )
& ( ? [X7] :
( in(X7,relation_dom(X0))
& sK10(X0,X1) = apply(X0,X7) )
| in(sK10(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X0,X1] :
( ? [X7] :
( in(X7,relation_dom(X0))
& sK10(X0,X1) = apply(X0,X7) )
=> ( in(sK11(X0,X1),relation_dom(X0))
& apply(X0,sK11(X0,X1)) = sK10(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) )
& ( ? [X4] :
( in(X4,relation_dom(X0))
& apply(X0,X4) = X2 )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ? [X5] :
( ( ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 )
| ~ in(X5,X1) )
& ( ? [X7] :
( in(X7,relation_dom(X0))
& apply(X0,X7) = X5 )
| in(X5,X1) ) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& apply(X0,X3) = X2 )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& apply(X0,X3) = X2 )
| in(X2,X1) ) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& apply(X0,X3) = X2 ) )
<=> relation_rng(X0) = X1 )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& apply(X0,X3) = X2 ) )
<=> relation_rng(X0) = X1 )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& apply(X0,X3) = X2 ) )
<=> relation_rng(X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f2793,plain,
( spl25_21
| ~ spl25_65
| ~ spl25_18 ),
inference(avatar_split_clause,[],[f1311,f1187,f2780,f1314]) ).
fof(f1187,plain,
( spl25_18
<=> sK3 = apply(sK2,sK13(sF22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_18])]) ).
fof(f1311,plain,
( ~ in(sK13(sF22),relation_dom(sK2))
| in(sK3,relation_rng(sK2))
| ~ spl25_18 ),
inference(subsumption_resolution,[],[f1310,f164]) ).
fof(f1310,plain,
( ~ relation(sK2)
| ~ in(sK13(sF22),relation_dom(sK2))
| in(sK3,relation_rng(sK2))
| ~ spl25_18 ),
inference(subsumption_resolution,[],[f1309,f165]) ).
fof(f1309,plain,
( ~ function(sK2)
| ~ in(sK13(sF22),relation_dom(sK2))
| in(sK3,relation_rng(sK2))
| ~ relation(sK2)
| ~ spl25_18 ),
inference(superposition,[],[f236,f1189]) ).
fof(f1189,plain,
( sK3 = apply(sK2,sK13(sF22))
| ~ spl25_18 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f236,plain,
! [X3,X0] :
( in(apply(X0,X3),relation_rng(X0))
| ~ function(X0)
| ~ relation(X0)
| ~ in(X3,relation_dom(X0)) ),
inference(equality_resolution,[],[f235]) ).
fof(f235,plain,
! [X3,X0,X1] :
( in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0))
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f202]) ).
fof(f202,plain,
! [X2,X3,X0,X1] :
( in(X2,X1)
| ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f2778,plain,
( spl25_2
| spl25_63 ),
inference(avatar_contradiction_clause,[],[f2777]) ).
fof(f2777,plain,
( $false
| spl25_2
| spl25_63 ),
inference(subsumption_resolution,[],[f2776,f165]) ).
fof(f2776,plain,
( ~ function(sK2)
| spl25_2
| spl25_63 ),
inference(subsumption_resolution,[],[f2775,f164]) ).
fof(f2775,plain,
( ~ relation(sK2)
| ~ function(sK2)
| spl25_2
| spl25_63 ),
inference(subsumption_resolution,[],[f2774,f250]) ).
fof(f250,plain,
( ~ one_to_one(sK2)
| spl25_2 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f2774,plain,
( ~ function(sK2)
| one_to_one(sK2)
| ~ relation(sK2)
| spl25_63 ),
inference(resolution,[],[f2756,f219]) ).
fof(f2756,plain,
( ~ in(sK18(sK2),relation_rng(sK2))
| spl25_63 ),
inference(avatar_component_clause,[],[f2755]) ).
fof(f2755,plain,
( spl25_63
<=> in(sK18(sK2),relation_rng(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_63])]) ).
fof(f2772,plain,
( ~ spl25_63
| spl25_59 ),
inference(avatar_split_clause,[],[f2771,f2731,f2755]) ).
fof(f2771,plain,
( ~ in(sK18(sK2),relation_rng(sK2))
| spl25_59 ),
inference(subsumption_resolution,[],[f2770,f164]) ).
fof(f2770,plain,
( ~ in(sK18(sK2),relation_rng(sK2))
| ~ relation(sK2)
| spl25_59 ),
inference(subsumption_resolution,[],[f2767,f165]) ).
fof(f2767,plain,
( ~ function(sK2)
| ~ in(sK18(sK2),relation_rng(sK2))
| ~ relation(sK2)
| spl25_59 ),
inference(resolution,[],[f2733,f237]) ).
fof(f237,plain,
! [X2,X0] :
( in(sK9(X0,X2),relation_dom(X0))
| ~ in(X2,relation_rng(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f201]) ).
fof(f201,plain,
! [X2,X0,X1] :
( in(sK9(X0,X2),relation_dom(X0))
| ~ in(X2,X1)
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f2733,plain,
( ~ in(sK9(sK2,sK18(sK2)),relation_dom(sK2))
| spl25_59 ),
inference(avatar_component_clause,[],[f2731]) ).
fof(f1259,plain,
( spl25_20
| spl25_2 ),
inference(avatar_split_clause,[],[f1255,f249,f1257]) ).
fof(f1255,plain,
! [X0] :
( one_to_one(sK2)
| singleton(X0) != sF23(sK18(sK2)) ),
inference(subsumption_resolution,[],[f1254,f164]) ).
fof(f1254,plain,
! [X0] :
( singleton(X0) != sF23(sK18(sK2))
| one_to_one(sK2)
| ~ relation(sK2) ),
inference(subsumption_resolution,[],[f908,f165]) ).
fof(f908,plain,
! [X0] :
( singleton(X0) != sF23(sK18(sK2))
| one_to_one(sK2)
| ~ function(sK2)
| ~ relation(sK2) ),
inference(superposition,[],[f220,f242]) ).
fof(f220,plain,
! [X0,X4] :
( relation_inverse_image(X0,singleton(sK18(X0))) != singleton(X4)
| one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f1253,plain,
( ~ spl25_3
| ~ spl25_11 ),
inference(avatar_contradiction_clause,[],[f1252]) ).
fof(f1252,plain,
( $false
| ~ spl25_3
| ~ spl25_11 ),
inference(subsumption_resolution,[],[f1239,f147]) ).
fof(f147,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(f1239,plain,
( ~ subset(empty_set,sF21)
| ~ spl25_3
| ~ spl25_11 ),
inference(superposition,[],[f270,f574]) ).
fof(f574,plain,
( empty_set = sF22
| ~ spl25_11 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f573,plain,
( spl25_11
<=> empty_set = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_11])]) ).
fof(f270,plain,
( ~ subset(sF22,sF21)
| ~ spl25_3 ),
inference(superposition,[],[f255,f239]) ).
fof(f1223,plain,
( spl25_11
| ~ spl25_17 ),
inference(avatar_contradiction_clause,[],[f1222]) ).
fof(f1222,plain,
( $false
| spl25_11
| ~ spl25_17 ),
inference(subsumption_resolution,[],[f1196,f575]) ).
fof(f575,plain,
( empty_set != sF22
| spl25_11 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f1196,plain,
( empty_set = sF22
| ~ spl25_17 ),
inference(resolution,[],[f1185,f171]) ).
fof(f171,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f1185,plain,
( empty(sF22)
| ~ spl25_17 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1190,plain,
( spl25_17
| spl25_18 ),
inference(avatar_split_clause,[],[f1180,f1187,f1183]) ).
fof(f1180,plain,
( sK3 = apply(sK2,sK13(sF22))
| empty(sF22) ),
inference(resolution,[],[f1167,f489]) ).
fof(f1167,plain,
! [X0] :
( ~ in(X0,sF22)
| sK3 = apply(sK2,X0) ),
inference(resolution,[],[f1011,f410]) ).
fof(f410,plain,
! [X0] :
( ~ in(X0,sF21)
| sK3 = X0 ),
inference(superposition,[],[f232,f239]) ).
fof(f232,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f193]) ).
fof(f193,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f116]) ).
fof(f1011,plain,
! [X0] :
( in(apply(sK2,X0),sF21)
| ~ in(X0,sF22) ),
inference(subsumption_resolution,[],[f1010,f164]) ).
fof(f1010,plain,
! [X0] :
( ~ relation(sK2)
| ~ in(X0,sF22)
| in(apply(sK2,X0),sF21) ),
inference(subsumption_resolution,[],[f1004,f165]) ).
fof(f1004,plain,
! [X0] :
( ~ in(X0,sF22)
| ~ function(sK2)
| ~ relation(sK2)
| in(apply(sK2,X0),sF21) ),
inference(superposition,[],[f227,f240]) ).
fof(f227,plain,
! [X2,X0,X4] :
( ~ in(X4,relation_inverse_image(X0,X2))
| ~ relation(X0)
| in(apply(X0,X4),X2)
| ~ function(X0) ),
inference(equality_resolution,[],[f153]) ).
fof(f153,plain,
! [X2,X0,X1,X4] :
( ~ relation(X0)
| ~ function(X0)
| in(apply(X0,X4),X2)
| ~ in(X4,X1)
| relation_inverse_image(X0,X2) != X1 ),
inference(cnf_transformation,[],[f96]) ).
fof(f256,plain,
( ~ spl25_2
| spl25_3 ),
inference(avatar_split_clause,[],[f241,f254,f249]) ).
fof(f241,plain,
! [X2] :
( ~ subset(sF22,singleton(X2))
| ~ one_to_one(sK2) ),
inference(definition_folding,[],[f163,f240,f239]) ).
fof(f163,plain,
! [X2] :
( ~ subset(relation_inverse_image(sK2,singleton(sK3)),singleton(X2))
| ~ one_to_one(sK2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f252,plain,
( spl25_1
| spl25_2 ),
inference(avatar_split_clause,[],[f244,f249,f246]) ).
fof(f244,plain,
! [X3] :
( one_to_one(sK2)
| subset(sF23(X3),sF24(X3)) ),
inference(definition_folding,[],[f162,f243,f242]) ).
fof(f162,plain,
! [X3] :
( subset(relation_inverse_image(sK2,singleton(X3)),singleton(sK4(X3)))
| one_to_one(sK2) ),
inference(cnf_transformation,[],[f103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU078+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:48:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (13103)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.48 % (13086)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.48 % (13094)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.49 TRYING [1]
% 0.20/0.49 % (13094)Instruction limit reached!
% 0.20/0.49 % (13094)------------------------------
% 0.20/0.49 % (13094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 TRYING [2]
% 0.20/0.49 % (13094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (13094)Termination reason: Unknown
% 0.20/0.49 % (13094)Termination phase: Property scanning
% 0.20/0.49
% 0.20/0.49 % (13094)Memory used [KB]: 1023
% 0.20/0.49 % (13094)Time elapsed: 0.004 s
% 0.20/0.49 % (13094)Instructions burned: 3 (million)
% 0.20/0.49 % (13094)------------------------------
% 0.20/0.49 % (13094)------------------------------
% 0.20/0.49 TRYING [3]
% 0.20/0.49 % (13102)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.50 % (13093)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (13088)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51 % (13112)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51 % (13099)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 TRYING [4]
% 0.20/0.52 % (13089)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (13087)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (13093)Instruction limit reached!
% 0.20/0.53 % (13093)------------------------------
% 0.20/0.53 % (13093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (13093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (13093)Termination reason: Unknown
% 0.20/0.53 % (13093)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (13093)Memory used [KB]: 5628
% 0.20/0.53 % (13093)Time elapsed: 0.082 s
% 0.20/0.53 % (13093)Instructions burned: 8 (million)
% 0.20/0.53 % (13093)------------------------------
% 0.20/0.53 % (13093)------------------------------
% 1.35/0.53 % (13087)Refutation not found, incomplete strategy% (13087)------------------------------
% 1.35/0.53 % (13087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.53 % (13087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.53 % (13087)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.53
% 1.35/0.53 % (13087)Memory used [KB]: 5628
% 1.35/0.53 % (13087)Time elapsed: 0.128 s
% 1.35/0.53 % (13087)Instructions burned: 7 (million)
% 1.35/0.53 % (13087)------------------------------
% 1.35/0.53 % (13087)------------------------------
% 1.35/0.53 % (13106)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.35/0.53 % (13091)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.35/0.53 % (13090)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.35/0.53 % (13092)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.35/0.53 % (13113)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.35/0.53 % (13100)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.35/0.53 % (13114)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.35/0.53 % (13105)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.35/0.53 % (13098)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.35/0.53 % (13097)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.35/0.54 % (13115)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.35/0.54 % (13101)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.35/0.54 % (13104)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.35/0.54 % (13116)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.35/0.55 % (13110)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.35/0.55 TRYING [1]
% 1.35/0.55 TRYING [2]
% 1.35/0.55 % (13111)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.54/0.55 % (13095)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.54/0.55 % (13108)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.54/0.55 % (13107)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.54/0.56 TRYING [1]
% 1.54/0.56 TRYING [2]
% 1.54/0.57 TRYING [3]
% 1.54/0.57 TRYING [3]
% 1.54/0.57 % (13088)Instruction limit reached!
% 1.54/0.57 % (13088)------------------------------
% 1.54/0.57 % (13088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57 % (13088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57 % (13088)Termination reason: Unknown
% 1.54/0.57 % (13088)Termination phase: Saturation
% 1.54/0.57
% 1.54/0.57 % (13088)Memory used [KB]: 1407
% 1.54/0.57 % (13088)Time elapsed: 0.166 s
% 1.54/0.57 % (13088)Instructions burned: 37 (million)
% 1.54/0.57 % (13088)------------------------------
% 1.54/0.57 % (13088)------------------------------
% 1.54/0.58 % (13109)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.54/0.59 TRYING [4]
% 1.54/0.60 TRYING [4]
% 1.54/0.60 % (13097)Instruction limit reached!
% 1.54/0.60 % (13097)------------------------------
% 1.54/0.60 % (13097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.60 % (13097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.60 % (13097)Termination reason: Unknown
% 1.54/0.60 % (13097)Termination phase: Saturation
% 1.54/0.60
% 1.54/0.60 % (13097)Memory used [KB]: 6396
% 1.54/0.60 % (13097)Time elapsed: 0.195 s
% 1.54/0.60 % (13097)Instructions burned: 50 (million)
% 1.54/0.60 % (13097)------------------------------
% 1.54/0.60 % (13097)------------------------------
% 1.54/0.61 % (13102)Instruction limit reached!
% 1.54/0.61 % (13102)------------------------------
% 1.54/0.61 % (13102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.61 % (13089)Instruction limit reached!
% 1.54/0.61 % (13089)------------------------------
% 1.54/0.61 % (13089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.61 % (13089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.61 % (13089)Termination reason: Unknown
% 1.54/0.61 % (13089)Termination phase: Saturation
% 1.54/0.61
% 1.54/0.61 % (13089)Memory used [KB]: 5884
% 1.54/0.61 % (13089)Time elapsed: 0.204 s
% 1.54/0.61 % (13089)Instructions burned: 51 (million)
% 1.54/0.61 % (13089)------------------------------
% 1.54/0.61 % (13089)------------------------------
% 1.54/0.61 TRYING [5]
% 1.54/0.61 % (13091)Instruction limit reached!
% 1.54/0.61 % (13091)------------------------------
% 1.54/0.61 % (13091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.61 % (13091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.61 % (13091)Termination reason: Unknown
% 1.54/0.61 % (13091)Termination phase: Saturation
% 1.54/0.61
% 1.54/0.61 % (13091)Memory used [KB]: 6012
% 1.54/0.61 % (13091)Time elapsed: 0.211 s
% 1.54/0.61 % (13091)Instructions burned: 49 (million)
% 1.54/0.61 % (13091)------------------------------
% 1.54/0.61 % (13091)------------------------------
% 1.54/0.62 % (13092)Instruction limit reached!
% 1.54/0.62 % (13092)------------------------------
% 1.54/0.62 % (13092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.62 % (13092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.62 % (13092)Termination reason: Unknown
% 1.54/0.62 % (13092)Termination phase: Finite model building constraint generation
% 1.54/0.62
% 1.54/0.62 % (13092)Memory used [KB]: 7675
% 1.54/0.62 % (13092)Time elapsed: 0.173 s
% 1.54/0.62 % (13092)Instructions burned: 52 (million)
% 1.54/0.62 % (13092)------------------------------
% 1.54/0.62 % (13092)------------------------------
% 1.54/0.62 % (13102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.62 % (13102)Termination reason: Unknown
% 1.54/0.62 % (13102)Termination phase: Saturation
% 1.54/0.62
% 1.54/0.62 % (13102)Memory used [KB]: 1918
% 1.54/0.62 % (13102)Time elapsed: 0.144 s
% 1.54/0.62 % (13102)Instructions burned: 76 (million)
% 1.54/0.62 % (13102)------------------------------
% 1.54/0.62 % (13102)------------------------------
% 1.54/0.62 % (13150)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.54/0.63 % (13104)Instruction limit reached!
% 1.54/0.63 % (13104)------------------------------
% 1.54/0.63 % (13104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.63 % (13104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.63 % (13104)Termination reason: Unknown
% 1.54/0.63 % (13104)Termination phase: Finite model building constraint generation
% 1.54/0.63
% 1.54/0.63 % (13104)Memory used [KB]: 7803
% 1.54/0.63 % (13104)Time elapsed: 0.186 s
% 1.54/0.63 % (13104)Instructions burned: 61 (million)
% 1.54/0.63 % (13104)------------------------------
% 1.54/0.63 % (13104)------------------------------
% 2.16/0.63 % (13159)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.16/0.64 % (13090)Instruction limit reached!
% 2.16/0.64 % (13090)------------------------------
% 2.16/0.64 % (13090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.64 % (13090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.64 % (13090)Termination reason: Unknown
% 2.16/0.64 % (13090)Termination phase: Saturation
% 2.16/0.64
% 2.16/0.64 % (13090)Memory used [KB]: 6268
% 2.16/0.64 % (13090)Time elapsed: 0.238 s
% 2.16/0.64 % (13090)Instructions burned: 51 (million)
% 2.16/0.64 % (13090)------------------------------
% 2.16/0.64 % (13090)------------------------------
% 2.16/0.65 % (13095)Instruction limit reached!
% 2.16/0.65 % (13095)------------------------------
% 2.16/0.65 % (13095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.65 % (13095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.65 % (13095)Termination reason: Unknown
% 2.16/0.65 % (13095)Termination phase: Saturation
% 2.16/0.65
% 2.16/0.65 % (13095)Memory used [KB]: 1791
% 2.16/0.65 % (13095)Time elapsed: 0.228 s
% 2.16/0.65 % (13095)Instructions burned: 52 (million)
% 2.16/0.65 % (13095)------------------------------
% 2.16/0.65 % (13095)------------------------------
% 2.16/0.65 % (13103)Instruction limit reached!
% 2.16/0.65 % (13103)------------------------------
% 2.16/0.65 % (13103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.65 % (13103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.65 % (13103)Termination reason: Unknown
% 2.16/0.65 % (13103)Termination phase: Saturation
% 2.16/0.65
% 2.16/0.65 % (13103)Memory used [KB]: 6396
% 2.16/0.65 % (13103)Time elapsed: 0.255 s
% 2.16/0.65 % (13103)Instructions burned: 99 (million)
% 2.16/0.65 % (13103)------------------------------
% 2.16/0.65 % (13103)------------------------------
% 2.16/0.66 % (13113)Instruction limit reached!
% 2.16/0.66 % (13113)------------------------------
% 2.16/0.66 % (13113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.66 % (13113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.66 % (13113)Termination reason: Unknown
% 2.16/0.66 % (13113)Termination phase: Saturation
% 2.16/0.66
% 2.16/0.66 % (13113)Memory used [KB]: 6652
% 2.16/0.66 % (13113)Time elapsed: 0.040 s
% 2.16/0.66 % (13113)Instructions burned: 68 (million)
% 2.16/0.66 % (13113)------------------------------
% 2.16/0.66 % (13113)------------------------------
% 2.16/0.67 % (13160)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.40/0.68 % (13101)Instruction limit reached!
% 2.40/0.68 % (13101)------------------------------
% 2.40/0.68 % (13101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.69 % (13101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.69 % (13101)Termination reason: Unknown
% 2.40/0.69 % (13101)Termination phase: Saturation
% 2.40/0.69
% 2.40/0.69 % (13101)Memory used [KB]: 6652
% 2.40/0.69 % (13101)Time elapsed: 0.040 s
% 2.40/0.69 % (13101)Instructions burned: 69 (million)
% 2.40/0.69 % (13101)------------------------------
% 2.40/0.69 % (13101)------------------------------
% 2.40/0.70 % (13176)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.40/0.70 % (13100)Instruction limit reached!
% 2.40/0.70 % (13100)------------------------------
% 2.40/0.70 % (13100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.70 % (13100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.70 % (13100)Termination reason: Unknown
% 2.40/0.70 % (13100)Termination phase: Saturation
% 2.40/0.70
% 2.40/0.70 % (13100)Memory used [KB]: 6524
% 2.40/0.70 % (13100)Time elapsed: 0.291 s
% 2.40/0.70 % (13100)Instructions burned: 100 (million)
% 2.40/0.70 % (13100)------------------------------
% 2.40/0.70 % (13100)------------------------------
% 2.40/0.70 % (13099)Instruction limit reached!
% 2.40/0.70 % (13099)------------------------------
% 2.40/0.70 % (13099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.70 % (13099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.70 % (13099)Termination reason: Unknown
% 2.40/0.70 % (13099)Termination phase: Saturation
% 2.40/0.70
% 2.40/0.70 % (13099)Memory used [KB]: 6524
% 2.40/0.70 % (13099)Time elapsed: 0.274 s
% 2.40/0.70 % (13099)Instructions burned: 102 (million)
% 2.40/0.70 % (13099)------------------------------
% 2.40/0.70 % (13099)------------------------------
% 2.40/0.71 % (13098)Instruction limit reached!
% 2.40/0.71 % (13098)------------------------------
% 2.40/0.71 % (13098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.72 % (13106)Instruction limit reached!
% 2.40/0.72 % (13106)------------------------------
% 2.40/0.72 % (13106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.72 % (13098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.72 % (13098)Termination reason: Unknown
% 2.40/0.72 % (13098)Termination phase: Saturation
% 2.40/0.72
% 2.40/0.72 % (13098)Memory used [KB]: 6396
% 2.40/0.72 % (13098)Time elapsed: 0.296 s
% 2.40/0.72 % (13098)Instructions burned: 102 (million)
% 2.40/0.72 % (13098)------------------------------
% 2.40/0.72 % (13098)------------------------------
% 2.40/0.72 % (13106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.72 % (13106)Termination reason: Unknown
% 2.40/0.72 % (13106)Termination phase: Saturation
% 2.40/0.72
% 2.40/0.72 % (13106)Memory used [KB]: 2430
% 2.40/0.72 % (13106)Time elapsed: 0.301 s
% 2.40/0.72 % (13106)Instructions burned: 101 (million)
% 2.40/0.72 % (13106)------------------------------
% 2.40/0.72 % (13106)------------------------------
% 2.40/0.73 % (13206)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.40/0.73 % (13105)Instruction limit reached!
% 2.40/0.73 % (13105)------------------------------
% 2.40/0.73 % (13105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.73 % (13105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.73 % (13105)Termination reason: Unknown
% 2.40/0.73 % (13105)Termination phase: Saturation
% 2.40/0.73
% 2.40/0.73 % (13105)Memory used [KB]: 6780
% 2.40/0.73 % (13105)Time elapsed: 0.337 s
% 2.40/0.73 % (13105)Instructions burned: 101 (million)
% 2.40/0.73 % (13105)------------------------------
% 2.40/0.73 % (13105)------------------------------
% 2.40/0.74 % (13194)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.40/0.74 % (13198)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.72/0.75 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.72/0.75 % (13211)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.72/0.76 % (13201)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.72/0.76 % (13207)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.76/0.77 % (13215)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.76/0.78 % (13217)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.76/0.79 % (13218)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.76/0.79 % (13219)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4958Mi)
% 2.76/0.80 % (13114)Instruction limit reached!
% 2.76/0.80 % (13114)------------------------------
% 2.76/0.80 % (13114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.80 % (13108)Instruction limit reached!
% 2.76/0.80 % (13108)------------------------------
% 2.76/0.80 % (13108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.80 % (13108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.80 % (13108)Termination reason: Unknown
% 2.76/0.80 % (13108)Termination phase: Saturation
% 2.76/0.80
% 2.76/0.80 % (13108)Memory used [KB]: 7164
% 2.76/0.80 % (13108)Time elapsed: 0.389 s
% 2.76/0.80 % (13108)Instructions burned: 138 (million)
% 2.76/0.80 % (13108)------------------------------
% 2.76/0.80 % (13108)------------------------------
% 2.76/0.81 TRYING [6]
% 2.94/0.82 % (13220)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.94/0.82 % (13114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.82 % (13114)Termination reason: Unknown
% 2.94/0.82 % (13114)Termination phase: Saturation
% 2.94/0.82
% 2.94/0.82 % (13114)Memory used [KB]: 3198
% 2.94/0.82 % (13114)Time elapsed: 0.406 s
% 2.94/0.82 % (13114)Instructions burned: 178 (million)
% 2.94/0.82 % (13114)------------------------------
% 2.94/0.82 % (13114)------------------------------
% 2.94/0.83 % (13160)Instruction limit reached!
% 2.94/0.83 % (13160)------------------------------
% 2.94/0.83 % (13160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.83 % (13160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.83 % (13160)Termination reason: Unknown
% 2.94/0.83 % (13160)Termination phase: Saturation
% 2.94/0.83
% 2.94/0.83 % (13160)Memory used [KB]: 6396
% 2.94/0.83 % (13160)Time elapsed: 0.272 s
% 2.94/0.83 % (13160)Instructions burned: 90 (million)
% 2.94/0.83 % (13160)------------------------------
% 2.94/0.83 % (13160)------------------------------
% 2.94/0.83 % (13221)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.94/0.84 % (13224)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.94/0.84 % (13112)First to succeed.
% 3.09/0.85 % (13222)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 3.09/0.86 % (13112)Refutation found. Thanks to Tanya!
% 3.09/0.86 % SZS status Theorem for theBenchmark
% 3.09/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 3.09/0.86 % (13112)------------------------------
% 3.09/0.86 % (13112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.09/0.86 % (13112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.09/0.86 % (13112)Termination reason: Refutation
% 3.09/0.86
% 3.09/0.86 % (13112)Memory used [KB]: 7803
% 3.09/0.86 % (13112)Time elapsed: 0.397 s
% 3.09/0.86 % (13112)Instructions burned: 223 (million)
% 3.09/0.86 % (13112)------------------------------
% 3.09/0.86 % (13112)------------------------------
% 3.09/0.86 % (13084)Success in time 0.488 s
%------------------------------------------------------------------------------