TSTP Solution File: SET358+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET358+4 : TPTP v8.1.0. Released v2.2.0.
% 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 : n024.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 18:20:27 EDT 2022
% Result : Theorem 0.17s 0.56s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 88 ( 7 unt; 0 def)
% Number of atoms : 244 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 259 ( 103 ~; 112 |; 26 &)
% ( 13 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 102 ( 90 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f195,plain,
$false,
inference(avatar_sat_refutation,[],[f98,f118,f135,f160,f167,f190,f194]) ).
fof(f194,plain,
( spl5_1
| ~ spl5_4 ),
inference(avatar_contradiction_clause,[],[f193]) ).
fof(f193,plain,
( $false
| spl5_1
| ~ spl5_4 ),
inference(subsumption_resolution,[],[f192,f168]) ).
fof(f168,plain,
( member(sK1(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),sum(union(sK4,sK3)))
| spl5_1 ),
inference(resolution,[],[f93,f63]) ).
fof(f63,plain,
! [X0,X1] :
( subset(X1,X0)
| member(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( ~ member(sK1(X0,X1),X0)
& member(sK1(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f35,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X3] :
( ~ member(X3,X0)
& member(X3,X1) )
=> ( ~ member(sK1(X0,X1),X0)
& member(sK1(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X3] :
( ~ member(X3,X0)
& member(X3,X1) ) ) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X1,X0] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f93,plain,
( ~ subset(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3)))
| spl5_1 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl5_1
<=> subset(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f192,plain,
( ~ member(sK1(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),sum(union(sK4,sK3)))
| spl5_1
| ~ spl5_4 ),
inference(resolution,[],[f191,f61]) ).
fof(f61,plain,
! [X0,X1] :
( member(X0,sK0(X0,X1))
| ~ member(X0,sum(X1)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( ( member(X0,sK0(X0,X1))
& member(sK0(X0,X1),X1) )
| ~ member(X0,sum(X1)) )
& ( member(X0,sum(X1))
| ! [X3] :
( ~ member(X0,X3)
| ~ member(X3,X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f30,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ? [X2] :
( member(X0,X2)
& member(X2,X1) )
=> ( member(X0,sK0(X0,X1))
& member(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0,X1] :
( ( ? [X2] :
( member(X0,X2)
& member(X2,X1) )
| ~ member(X0,sum(X1)) )
& ( member(X0,sum(X1))
| ! [X3] :
( ~ member(X0,X3)
| ~ member(X3,X1) ) ) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( ? [X2] :
( member(X0,X2)
& member(X2,X1) )
| ~ member(X0,sum(X1)) )
& ( member(X0,sum(X1))
| ! [X2] :
( ~ member(X0,X2)
| ~ member(X2,X1) ) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ? [X2] :
( member(X0,X2)
& member(X2,X1) )
<=> member(X0,sum(X1)) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X2,X0] :
( ? [X4] :
( member(X4,X0)
& member(X2,X4) )
<=> member(X2,sum(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum) ).
fof(f191,plain,
( ~ member(sK1(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),sK0(sK1(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),union(sK4,sK3)))
| spl5_1
| ~ spl5_4 ),
inference(resolution,[],[f117,f178]) ).
fof(f178,plain,
( ! [X0] :
( ~ member(X0,sK3)
| ~ member(sK1(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),X0) )
| spl5_1 ),
inference(resolution,[],[f174,f59]) ).
fof(f59,plain,
! [X3,X0,X1] :
( member(X0,sum(X1))
| ~ member(X3,X1)
| ~ member(X0,X3) ),
inference(cnf_transformation,[],[f32]) ).
fof(f174,plain,
( ~ member(sK1(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),sum(sK3))
| spl5_1 ),
inference(resolution,[],[f169,f76]) ).
fof(f76,plain,
! [X2,X0,X1] :
( member(X0,union(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( member(X0,union(X2,X1))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) )
& ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X2,X1)) ) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X1,X0,X2] :
( ( member(X1,union(X2,X0))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) )
& ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X2,X0)) ) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X1,X0,X2] :
( ( member(X1,union(X2,X0))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) )
& ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X2,X0)) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X1,X0,X2] :
( member(X1,union(X2,X0))
<=> ( member(X1,X2)
| member(X1,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X2,X0] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f169,plain,
( ~ member(sK1(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),union(sum(sK4),sum(sK3)))
| spl5_1 ),
inference(resolution,[],[f93,f64]) ).
fof(f64,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f117,plain,
( member(sK0(sK1(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),union(sK4,sK3)),sK3)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl5_4
<=> member(sK0(sK1(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),union(sK4,sK3)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f190,plain,
( spl5_1
| ~ spl5_3 ),
inference(avatar_contradiction_clause,[],[f189]) ).
fof(f189,plain,
( $false
| spl5_1
| ~ spl5_3 ),
inference(subsumption_resolution,[],[f188,f168]) ).
fof(f188,plain,
( ~ member(sK1(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),sum(union(sK4,sK3)))
| spl5_1
| ~ spl5_3 ),
inference(resolution,[],[f183,f61]) ).
fof(f183,plain,
( ~ member(sK1(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),sK0(sK1(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),union(sK4,sK3)))
| spl5_1
| ~ spl5_3 ),
inference(resolution,[],[f113,f176]) ).
fof(f176,plain,
( ! [X0] :
( ~ member(X0,sK4)
| ~ member(sK1(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),X0) )
| spl5_1 ),
inference(resolution,[],[f173,f59]) ).
fof(f173,plain,
( ~ member(sK1(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),sum(sK4))
| spl5_1 ),
inference(resolution,[],[f169,f77]) ).
fof(f77,plain,
! [X2,X0,X1] :
( member(X0,union(X2,X1))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f113,plain,
( member(sK0(sK1(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),union(sK4,sK3)),sK4)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl5_3
<=> member(sK0(sK1(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),union(sK4,sK3)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f167,plain,
( spl5_2
| ~ spl5_6 ),
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f166,plain,
( $false
| spl5_2
| ~ spl5_6 ),
inference(subsumption_resolution,[],[f165,f134]) ).
fof(f134,plain,
( member(sK1(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))),sum(sK3))
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl5_6
<=> member(sK1(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))),sum(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f165,plain,
( ~ member(sK1(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))),sum(sK3))
| spl5_2
| ~ spl5_6 ),
inference(resolution,[],[f164,f61]) ).
fof(f164,plain,
( ~ member(sK1(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))),sK0(sK1(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))),sK3))
| spl5_2
| ~ spl5_6 ),
inference(resolution,[],[f163,f140]) ).
fof(f140,plain,
( ! [X1] :
( ~ member(X1,sK3)
| ~ member(sK1(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))),X1) )
| spl5_2 ),
inference(resolution,[],[f123,f76]) ).
fof(f123,plain,
( ! [X0] :
( ~ member(X0,union(sK4,sK3))
| ~ member(sK1(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))),X0) )
| spl5_2 ),
inference(resolution,[],[f121,f59]) ).
fof(f121,plain,
( ~ member(sK1(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))),sum(union(sK4,sK3)))
| spl5_2 ),
inference(resolution,[],[f97,f64]) ).
fof(f97,plain,
( ~ subset(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3)))
| spl5_2 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl5_2
<=> subset(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f163,plain,
( member(sK0(sK1(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))),sK3),sK3)
| ~ spl5_6 ),
inference(resolution,[],[f134,f60]) ).
fof(f60,plain,
! [X0,X1] :
( ~ member(X0,sum(X1))
| member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f160,plain,
( spl5_2
| ~ spl5_5 ),
inference(avatar_contradiction_clause,[],[f159]) ).
fof(f159,plain,
( $false
| spl5_2
| ~ spl5_5 ),
inference(subsumption_resolution,[],[f158,f130]) ).
fof(f130,plain,
( member(sK1(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))),sum(sK4))
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl5_5
<=> member(sK1(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))),sum(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f158,plain,
( ~ member(sK1(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))),sum(sK4))
| spl5_2
| ~ spl5_5 ),
inference(resolution,[],[f156,f61]) ).
fof(f156,plain,
( ~ member(sK1(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))),sK0(sK1(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))),sK4))
| spl5_2
| ~ spl5_5 ),
inference(resolution,[],[f139,f137]) ).
fof(f137,plain,
( member(sK0(sK1(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))),sK4),sK4)
| ~ spl5_5 ),
inference(resolution,[],[f130,f60]) ).
fof(f139,plain,
( ! [X0] :
( ~ member(X0,sK4)
| ~ member(sK1(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))),X0) )
| spl5_2 ),
inference(resolution,[],[f123,f77]) ).
fof(f135,plain,
( spl5_5
| spl5_6
| spl5_2 ),
inference(avatar_split_clause,[],[f126,f95,f132,f128]) ).
fof(f126,plain,
( member(sK1(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))),sum(sK3))
| member(sK1(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))),sum(sK4))
| spl5_2 ),
inference(resolution,[],[f120,f75]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X2,X1))
| member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f120,plain,
( member(sK1(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))),union(sum(sK4),sum(sK3)))
| spl5_2 ),
inference(resolution,[],[f97,f63]) ).
fof(f118,plain,
( spl5_3
| spl5_4
| spl5_1 ),
inference(avatar_split_clause,[],[f109,f91,f115,f111]) ).
fof(f109,plain,
( member(sK0(sK1(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),union(sK4,sK3)),sK3)
| member(sK0(sK1(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),union(sK4,sK3)),sK4)
| spl5_1 ),
inference(resolution,[],[f101,f75]) ).
fof(f101,plain,
( member(sK0(sK1(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),union(sK4,sK3)),union(sK4,sK3))
| spl5_1 ),
inference(resolution,[],[f99,f60]) ).
fof(f99,plain,
( member(sK1(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),sum(union(sK4,sK3)))
| spl5_1 ),
inference(resolution,[],[f93,f63]) ).
fof(f98,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f89,f95,f91]) ).
fof(f89,plain,
( ~ subset(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3)))
| ~ subset(sum(union(sK4,sK3)),union(sum(sK4),sum(sK3))) ),
inference(resolution,[],[f69,f62]) ).
fof(f62,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| equal_set(X1,X0)
| ~ subset(X0,X1) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X1,X0] :
( ~ subset(X0,X1)
| equal_set(X0,X1)
| ~ subset(X1,X0) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
<=> equal_set(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set) ).
fof(f69,plain,
~ equal_set(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
~ equal_set(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f28,f42]) ).
fof(f42,plain,
( ? [X0,X1] : ~ equal_set(union(sum(X1),sum(X0)),sum(union(X1,X0)))
=> ~ equal_set(union(sum(sK4),sum(sK3)),sum(union(sK4,sK3))) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
? [X0,X1] : ~ equal_set(union(sum(X1),sum(X0)),sum(union(X1,X0))),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X1,X0] : equal_set(union(sum(X1),sum(X0)),sum(union(X1,X0))),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X1,X0] : equal_set(union(sum(X0),sum(X1)),sum(union(X0,X1))),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X1,X0] : equal_set(union(sum(X0),sum(X1)),sum(union(X0,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI37) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET358+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % 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 : n024.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 13:44:49 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.48 % (787)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)
% 0.17/0.48 % (788)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)
% 0.17/0.48 % (801)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)
% 0.17/0.49 % (796)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)
% 0.17/0.49 % (810)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)
% 0.17/0.49 % (793)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)
% 0.17/0.49 % (795)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)
% 0.17/0.49 % (793)Refutation not found, incomplete strategy% (793)------------------------------
% 0.17/0.49 % (793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (793)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.49
% 0.17/0.49 % (793)Memory used [KB]: 1407
% 0.17/0.49 % (793)Time elapsed: 0.102 s
% 0.17/0.49 % (793)Instructions burned: 2 (million)
% 0.17/0.49 % (793)------------------------------
% 0.17/0.49 % (793)------------------------------
% 0.17/0.50 % (810)Refutation not found, incomplete strategy% (810)------------------------------
% 0.17/0.50 % (810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (803)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)
% 0.17/0.50 % (810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (810)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.50
% 0.17/0.50 % (810)Memory used [KB]: 5884
% 0.17/0.50 % (810)Time elapsed: 0.113 s
% 0.17/0.50 % (810)Instructions burned: 3 (million)
% 0.17/0.50 % (810)------------------------------
% 0.17/0.50 % (810)------------------------------
% 0.17/0.50 % (795)Instruction limit reached!
% 0.17/0.50 % (795)------------------------------
% 0.17/0.50 % (795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (795)Termination reason: Unknown
% 0.17/0.50 % (795)Termination phase: Saturation
% 0.17/0.50
% 0.17/0.50 % (795)Memory used [KB]: 6012
% 0.17/0.50 % (795)Time elapsed: 0.104 s
% 0.17/0.50 % (795)Instructions burned: 4 (million)
% 0.17/0.50 % (795)------------------------------
% 0.17/0.50 % (795)------------------------------
% 0.17/0.50 % (804)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 % (804)Refutation not found, incomplete strategy% (804)------------------------------
% 0.17/0.50 % (804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (804)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.50
% 0.17/0.50 % (804)Memory used [KB]: 1407
% 0.17/0.50 % (804)Time elapsed: 0.111 s
% 0.17/0.50 % (804)------------------------------
% 0.17/0.50 % (804)------------------------------
% 0.17/0.51 % (796)Instruction limit reached!
% 0.17/0.51 % (796)------------------------------
% 0.17/0.51 % (796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (796)Termination reason: Unknown
% 0.17/0.51 % (796)Termination phase: Saturation
% 0.17/0.51
% 0.17/0.51 % (796)Memory used [KB]: 6012
% 0.17/0.51 % (796)Time elapsed: 0.116 s
% 0.17/0.51 % (796)Instructions burned: 8 (million)
% 0.17/0.51 % (796)------------------------------
% 0.17/0.51 % (796)------------------------------
% 0.17/0.51 % (791)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)
% 0.17/0.51 % (791)Refutation not found, incomplete strategy% (791)------------------------------
% 0.17/0.51 % (791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (791)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.51
% 0.17/0.51 % (791)Memory used [KB]: 5884
% 0.17/0.51 % (791)Time elapsed: 0.122 s
% 0.17/0.51 % (791)Instructions burned: 2 (million)
% 0.17/0.51 % (791)------------------------------
% 0.17/0.51 % (791)------------------------------
% 0.17/0.52 % (789)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)
% 0.17/0.52 % (789)Refutation not found, incomplete strategy% (789)------------------------------
% 0.17/0.52 % (789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52 % (789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52 % (789)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.52
% 0.17/0.52 % (789)Memory used [KB]: 5884
% 0.17/0.52 % (789)Time elapsed: 0.133 s
% 0.17/0.52 % (789)Instructions burned: 2 (million)
% 0.17/0.52 % (789)------------------------------
% 0.17/0.52 % (789)------------------------------
% 0.17/0.53 % (801)Instruction limit reached!
% 0.17/0.53 % (801)------------------------------
% 0.17/0.53 % (801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53 % (801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53 % (801)Termination reason: Unknown
% 0.17/0.53 % (801)Termination phase: Saturation
% 0.17/0.53
% 0.17/0.53 % (801)Memory used [KB]: 6268
% 0.17/0.53 % (801)Time elapsed: 0.142 s
% 0.17/0.53 % (801)Instructions burned: 30 (million)
% 0.17/0.53 % (801)------------------------------
% 0.17/0.53 % (801)------------------------------
% 0.17/0.53 % (794)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.53 % (794)Refutation not found, incomplete strategy% (794)------------------------------
% 0.17/0.53 % (794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53 % (794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53 % (794)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.53
% 0.17/0.53 % (794)Memory used [KB]: 5884
% 0.17/0.53 % (794)Time elapsed: 0.140 s
% 0.17/0.53 % (794)Instructions burned: 1 (million)
% 0.17/0.53 % (794)------------------------------
% 0.17/0.53 % (794)------------------------------
% 0.17/0.53 % (792)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)
% 0.17/0.53 % (792)Refutation not found, incomplete strategy% (792)------------------------------
% 0.17/0.53 % (792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53 % (792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53 % (792)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.53
% 0.17/0.53 % (792)Memory used [KB]: 5884
% 0.17/0.53 % (792)Time elapsed: 0.141 s
% 0.17/0.53 % (792)Instructions burned: 2 (million)
% 0.17/0.53 % (792)------------------------------
% 0.17/0.53 % (792)------------------------------
% 0.17/0.53 % (784)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)
% 0.17/0.53 % (784)Refutation not found, incomplete strategy% (784)------------------------------
% 0.17/0.53 % (784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53 % (784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53 % (784)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.53
% 0.17/0.53 % (784)Memory used [KB]: 5884
% 0.17/0.53 % (784)Time elapsed: 0.002 s
% 0.17/0.53 % (784)------------------------------
% 0.17/0.53 % (784)------------------------------
% 0.17/0.53 % (786)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.17/0.53 % (785)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 % (808)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)
% 0.17/0.54 % (785)Instruction limit reached!
% 0.17/0.54 % (785)------------------------------
% 0.17/0.54 % (785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54 % (785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54 % (785)Termination reason: Unknown
% 0.17/0.54 % (785)Termination phase: Saturation
% 0.17/0.54
% 0.17/0.54 % (785)Memory used [KB]: 6140
% 0.17/0.54 % (785)Time elapsed: 0.148 s
% 0.17/0.54 % (785)Instructions burned: 13 (million)
% 0.17/0.54 % (785)------------------------------
% 0.17/0.54 % (785)------------------------------
% 0.17/0.54 % (805)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)
% 0.17/0.54 % (811)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)
% 0.17/0.54 % (809)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)
% 0.17/0.54 % (802)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.54 % (782)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.17/0.54 % (802)Refutation not found, incomplete strategy% (802)------------------------------
% 0.17/0.54 % (802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54 % (802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54 % (802)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.54
% 0.17/0.54 % (802)Memory used [KB]: 5884
% 0.17/0.54 % (802)Time elapsed: 0.004 s
% 0.17/0.54 % (802)------------------------------
% 0.17/0.54 % (802)------------------------------
% 0.17/0.54 % (782)Refutation not found, incomplete strategy% (782)------------------------------
% 0.17/0.54 % (782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54 % (782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54 % (782)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.54
% 0.17/0.54 % (782)Memory used [KB]: 5884
% 0.17/0.54 % (782)Time elapsed: 0.002 s
% 0.17/0.54 % (782)------------------------------
% 0.17/0.54 % (782)------------------------------
% 0.17/0.55 % (788)Instruction limit reached!
% 0.17/0.55 % (788)------------------------------
% 0.17/0.55 % (788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55 % (788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55 % (788)Termination reason: Unknown
% 0.17/0.55 % (788)Termination phase: Saturation
% 0.17/0.55
% 0.17/0.55 % (788)Memory used [KB]: 6268
% 0.17/0.55 % (788)Time elapsed: 0.149 s
% 0.17/0.55 % (788)Instructions burned: 39 (million)
% 0.17/0.55 % (788)------------------------------
% 0.17/0.55 % (788)------------------------------
% 0.17/0.55 % (799)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 % (799)Instruction limit reached!
% 0.17/0.55 % (799)------------------------------
% 0.17/0.55 % (799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55 % (799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55 % (799)Termination reason: Unknown
% 0.17/0.55 % (799)Termination phase: Preprocessing 3
% 0.17/0.55
% 0.17/0.55 % (799)Memory used [KB]: 1407
% 0.17/0.55 % (799)Time elapsed: 0.002 s
% 0.17/0.55 % (799)Instructions burned: 2 (million)
% 0.17/0.55 % (799)------------------------------
% 0.17/0.55 % (799)------------------------------
% 0.17/0.55 % (800)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)
% 0.17/0.55 % (800)Refutation not found, incomplete strategy% (800)------------------------------
% 0.17/0.55 % (800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55 % (800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55 % (800)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.55
% 0.17/0.55 % (800)Memory used [KB]: 5884
% 0.17/0.55 % (800)Time elapsed: 0.159 s
% 0.17/0.55 % (800)Instructions burned: 1 (million)
% 0.17/0.55 % (800)------------------------------
% 0.17/0.55 % (800)------------------------------
% 0.17/0.55 % (786)Instruction limit reached!
% 0.17/0.55 % (786)------------------------------
% 0.17/0.55 % (786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55 % (786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55 % (786)Termination reason: Unknown
% 0.17/0.55 % (786)Termination phase: Saturation
% 0.17/0.55
% 0.17/0.55 % (786)Memory used [KB]: 1535
% 0.17/0.55 % (786)Time elapsed: 0.150 s
% 0.17/0.55 % (786)Instructions burned: 15 (million)
% 0.17/0.55 % (786)------------------------------
% 0.17/0.55 % (786)------------------------------
% 0.17/0.56 % (808)First to succeed.
% 0.17/0.56 % (808)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 % (808)------------------------------
% 0.17/0.56 % (808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.56 % (808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.56 % (808)Termination reason: Refutation
% 0.17/0.56
% 0.17/0.56 % (808)Memory used [KB]: 6140
% 0.17/0.56 % (808)Time elapsed: 0.159 s
% 0.17/0.56 % (808)Instructions burned: 7 (million)
% 0.17/0.56 % (808)------------------------------
% 0.17/0.56 % (808)------------------------------
% 0.17/0.56 % (779)Success in time 0.221 s
%------------------------------------------------------------------------------