TSTP Solution File: NUM404+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM404+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n011.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 17:59:21 EDT 2022
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 89 ( 2 unt; 0 def)
% Number of atoms : 299 ( 17 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 346 ( 136 ~; 129 |; 54 &)
% ( 15 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 112 ( 97 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f961,plain,
$false,
inference(avatar_sat_refutation,[],[f342,f359,f372,f575,f584,f960]) ).
fof(f960,plain,
( ~ spl19_3
| spl19_4 ),
inference(avatar_contradiction_clause,[],[f959]) ).
fof(f959,plain,
( $false
| ~ spl19_3
| spl19_4 ),
inference(subsumption_resolution,[],[f947,f933]) ).
fof(f933,plain,
( ~ ordinal(sK17(sK3(sK18),sK18))
| spl19_4 ),
inference(resolution,[],[f637,f215]) ).
fof(f215,plain,
! [X1] :
( in(X1,sK18)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X1] :
( ( ordinal(X1)
| ~ in(X1,sK18) )
& ( in(X1,sK18)
| ~ ordinal(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f132,f133]) ).
fof(f133,plain,
( ? [X0] :
! [X1] :
( ( ordinal(X1)
| ~ in(X1,X0) )
& ( in(X1,X0)
| ~ ordinal(X1) ) )
=> ! [X1] :
( ( ordinal(X1)
| ~ in(X1,sK18) )
& ( in(X1,sK18)
| ~ ordinal(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
? [X0] :
! [X1] :
( ( ordinal(X1)
| ~ in(X1,X0) )
& ( in(X1,X0)
| ~ ordinal(X1) ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
? [X0] :
! [X1] :
( ordinal(X1)
<=> in(X1,X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X0] :
~ ! [X1] :
( ordinal(X1)
<=> in(X1,X0) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X0] :
~ ! [X1] :
( ordinal(X1)
<=> in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_ordinal1) ).
fof(f637,plain,
( ~ in(sK17(sK3(sK18),sK18),sK18)
| spl19_4 ),
inference(unit_resulting_resolution,[],[f588,f212]) ).
fof(f212,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK17(X0,X1),X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( in(sK17(X0,X1),X0)
& ~ in(sK17(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f129,f130]) ).
fof(f130,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,X0)
& ~ in(X3,X1) )
=> ( in(sK17(X0,X1),X0)
& ~ in(sK17(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( in(X3,X0)
& ~ in(X3,X1) ) ) ),
inference(rectify,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f588,plain,
( ~ subset(sK3(sK18),sK18)
| spl19_4 ),
inference(unit_resulting_resolution,[],[f340,f151]) ).
fof(f151,plain,
! [X0] :
( ~ subset(sK3(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ( ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) )
| ~ epsilon_transitive(X0) )
& ( epsilon_transitive(X0)
| ( ~ subset(sK3(X0),X0)
& in(sK3(X0),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f95,f96]) ).
fof(f96,plain,
! [X0] :
( ? [X2] :
( ~ subset(X2,X0)
& in(X2,X0) )
=> ( ~ subset(sK3(X0),X0)
& in(sK3(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0] :
( ( ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) )
| ~ epsilon_transitive(X0) )
& ( epsilon_transitive(X0)
| ? [X2] :
( ~ subset(X2,X0)
& in(X2,X0) ) ) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) )
| ~ epsilon_transitive(X0) )
& ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) ) ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) )
<=> epsilon_transitive(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ! [X1] :
( in(X1,X0)
=> subset(X1,X0) )
<=> epsilon_transitive(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f340,plain,
( ~ epsilon_transitive(sK18)
| spl19_4 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f339,plain,
( spl19_4
<=> epsilon_transitive(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_4])]) ).
fof(f947,plain,
( ordinal(sK17(sK3(sK18),sK18))
| ~ spl19_3
| spl19_4 ),
inference(unit_resulting_resolution,[],[f337,f641,f183]) ).
fof(f183,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ ordinal(X0)
| ordinal(X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ordinal(X1)
| ~ ordinal(X0) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X1,X0] :
( ~ in(X0,X1)
| ordinal(X0)
| ~ ordinal(X1) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X1,X0] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X1,X0] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_ordinal1) ).
fof(f641,plain,
( in(sK17(sK3(sK18),sK18),sK3(sK18))
| spl19_4 ),
inference(resolution,[],[f588,f213]) ).
fof(f213,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK17(X0,X1),X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f337,plain,
( ordinal(sK3(sK18))
| ~ spl19_3 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f335,plain,
( spl19_3
<=> ordinal(sK3(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_3])]) ).
fof(f584,plain,
( ~ spl19_4
| ~ spl19_6 ),
inference(avatar_split_clause,[],[f583,f356,f339]) ).
fof(f356,plain,
( spl19_6
<=> epsilon_connected(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_6])]) ).
fof(f583,plain,
( ~ epsilon_transitive(sK18)
| ~ spl19_6 ),
inference(subsumption_resolution,[],[f582,f301]) ).
fof(f301,plain,
~ ordinal(sK18),
inference(duplicate_literal_removal,[],[f300]) ).
fof(f300,plain,
( ~ ordinal(sK18)
| ~ ordinal(sK18) ),
inference(resolution,[],[f223,f215]) ).
fof(f223,plain,
! [X1] :
( ~ in(sK18,X1)
| ~ ordinal(X1) ),
inference(resolution,[],[f215,f178]) ).
fof(f178,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( in(X1,X0)
=> ~ in(X0,X1) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f582,plain,
( ~ epsilon_transitive(sK18)
| ordinal(sK18)
| ~ spl19_6 ),
inference(resolution,[],[f358,f141]) ).
fof(f141,plain,
! [X0] :
( ~ epsilon_connected(X0)
| ordinal(X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) )
& ( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) ) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) )
& ( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
<=> ordinal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_ordinal1) ).
fof(f358,plain,
( epsilon_connected(sK18)
| ~ spl19_6 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f575,plain,
( ~ spl19_5
| spl19_6
| ~ spl19_7 ),
inference(avatar_contradiction_clause,[],[f574]) ).
fof(f574,plain,
( $false
| ~ spl19_5
| spl19_6
| ~ spl19_7 ),
inference(subsumption_resolution,[],[f569,f389]) ).
fof(f389,plain,
( sK9(sK18) != sK8(sK18)
| spl19_6 ),
inference(resolution,[],[f357,f177]) ).
fof(f177,plain,
! [X0] :
( epsilon_connected(X0)
| sK9(X0) != sK8(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ( epsilon_connected(X0)
| ( sK9(X0) != sK8(X0)
& in(sK8(X0),X0)
& in(sK9(X0),X0)
& ~ in(sK9(X0),sK8(X0))
& ~ in(sK8(X0),sK9(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X3,X0)
| ~ in(X4,X0)
| in(X4,X3)
| in(X3,X4) )
| ~ epsilon_connected(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f107,f108]) ).
fof(f108,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& in(X1,X0)
& in(X2,X0)
& ~ in(X2,X1)
& ~ in(X1,X2) )
=> ( sK9(X0) != sK8(X0)
& in(sK8(X0),X0)
& in(sK9(X0),X0)
& ~ in(sK9(X0),sK8(X0))
& ~ in(sK8(X0),sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X0] :
( ( epsilon_connected(X0)
| ? [X1,X2] :
( X1 != X2
& in(X1,X0)
& in(X2,X0)
& ~ in(X2,X1)
& ~ in(X1,X2) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X3,X0)
| ~ in(X4,X0)
| in(X4,X3)
| in(X3,X4) )
| ~ epsilon_connected(X0) ) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( epsilon_connected(X0)
| ? [X2,X1] :
( X1 != X2
& in(X2,X0)
& in(X1,X0)
& ~ in(X1,X2)
& ~ in(X2,X1) ) )
& ( ! [X2,X1] :
( X1 = X2
| ~ in(X2,X0)
| ~ in(X1,X0)
| in(X1,X2)
| in(X2,X1) )
| ~ epsilon_connected(X0) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( epsilon_connected(X0)
<=> ! [X2,X1] :
( X1 = X2
| ~ in(X2,X0)
| ~ in(X1,X0)
| in(X1,X2)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
~ ( ~ in(X1,X2)
& X1 != X2
& in(X1,X0)
& in(X2,X0)
& ~ in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_ordinal1) ).
fof(f357,plain,
( ~ epsilon_connected(sK18)
| spl19_6 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f569,plain,
( sK9(sK18) = sK8(sK18)
| ~ spl19_5
| spl19_6
| ~ spl19_7 ),
inference(unit_resulting_resolution,[],[f371,f354,f382,f383,f211]) ).
fof(f211,plain,
! [X0,X1] :
( ~ ordinal(X0)
| in(X0,X1)
| ~ ordinal(X1)
| X0 = X1
| in(X1,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ~ ordinal(X0)
| ! [X1] :
( X0 = X1
| in(X0,X1)
| in(X1,X0)
| ~ ordinal(X1) ) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| X0 = X1
| in(X1,X0)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ~ ( ~ in(X0,X1)
& X0 != X1
& ~ in(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_ordinal1) ).
fof(f383,plain,
( ~ in(sK9(sK18),sK8(sK18))
| spl19_6 ),
inference(unit_resulting_resolution,[],[f357,f174]) ).
fof(f174,plain,
! [X0] :
( ~ in(sK9(X0),sK8(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f382,plain,
( ~ in(sK8(sK18),sK9(sK18))
| spl19_6 ),
inference(unit_resulting_resolution,[],[f357,f173]) ).
fof(f173,plain,
! [X0] :
( ~ in(sK8(X0),sK9(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f354,plain,
( ordinal(sK9(sK18))
| ~ spl19_5 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f352,plain,
( spl19_5
<=> ordinal(sK9(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_5])]) ).
fof(f371,plain,
( ordinal(sK8(sK18))
| ~ spl19_7 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f369,plain,
( spl19_7
<=> ordinal(sK8(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_7])]) ).
fof(f372,plain,
( spl19_7
| spl19_6 ),
inference(avatar_split_clause,[],[f249,f356,f369]) ).
fof(f249,plain,
( epsilon_connected(sK18)
| ordinal(sK8(sK18)) ),
inference(resolution,[],[f216,f176]) ).
fof(f176,plain,
! [X0] :
( in(sK8(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f216,plain,
! [X1] :
( ~ in(X1,sK18)
| ordinal(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f359,plain,
( spl19_5
| spl19_6 ),
inference(avatar_split_clause,[],[f248,f356,f352]) ).
fof(f248,plain,
( epsilon_connected(sK18)
| ordinal(sK9(sK18)) ),
inference(resolution,[],[f216,f175]) ).
fof(f175,plain,
! [X0] :
( in(sK9(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f342,plain,
( spl19_3
| spl19_4 ),
inference(avatar_split_clause,[],[f247,f339,f335]) ).
fof(f247,plain,
( epsilon_transitive(sK18)
| ordinal(sK3(sK18)) ),
inference(resolution,[],[f216,f150]) ).
fof(f150,plain,
! [X0] :
( in(sK3(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM404+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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n011.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 06:26:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47 % (21313)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.48 % (21329)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.49 % (21330)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.49 % (21315)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.49 % (21321)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50 % (21335)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.50 % (21313)Instruction limit reached!
% 0.21/0.50 % (21313)------------------------------
% 0.21/0.50 % (21313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (21313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (21313)Termination reason: Unknown
% 0.21/0.50 % (21313)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (21313)Memory used [KB]: 1663
% 0.21/0.50 % (21313)Time elapsed: 0.113 s
% 0.21/0.50 % (21313)Instructions burned: 15 (million)
% 0.21/0.50 % (21313)------------------------------
% 0.21/0.50 % (21313)------------------------------
% 0.21/0.51 % (21319)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52 % (21317)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.53 % (21312)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.53 % (21312)Refutation not found, incomplete strategy% (21312)------------------------------
% 0.21/0.53 % (21312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (21312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (21312)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (21312)Memory used [KB]: 5884
% 0.21/0.53 % (21312)Time elapsed: 0.123 s
% 0.21/0.53 % (21312)Instructions burned: 2 (million)
% 0.21/0.53 % (21312)------------------------------
% 0.21/0.53 % (21312)------------------------------
% 0.21/0.53 % (21308)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.53 % (21326)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53 % (21326)Instruction limit reached!
% 0.21/0.53 % (21326)------------------------------
% 0.21/0.53 % (21326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (21326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (21326)Termination reason: Unknown
% 0.21/0.53 % (21326)Termination phase: SInE selection
% 0.21/0.53
% 0.21/0.53 % (21326)Memory used [KB]: 1407
% 0.21/0.53 % (21326)Time elapsed: 0.002 s
% 0.21/0.53 % (21326)Instructions burned: 2 (million)
% 0.21/0.53 % (21326)------------------------------
% 0.21/0.53 % (21326)------------------------------
% 0.21/0.53 % (21311)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (21320)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.53 % (21311)Refutation not found, incomplete strategy% (21311)------------------------------
% 0.21/0.53 % (21311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (21311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (21311)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (21311)Memory used [KB]: 5884
% 0.21/0.53 % (21311)Time elapsed: 0.126 s
% 0.21/0.53 % (21311)Instructions burned: 1 (million)
% 0.21/0.53 % (21311)------------------------------
% 0.21/0.53 % (21311)------------------------------
% 0.21/0.53 % (21310)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.54 % (21320)Refutation not found, incomplete strategy% (21320)------------------------------
% 0.21/0.54 % (21320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (21320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (21320)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (21320)Memory used [KB]: 1535
% 0.21/0.54 % (21320)Time elapsed: 0.126 s
% 0.21/0.54 % (21320)Instructions burned: 6 (million)
% 0.21/0.54 % (21320)------------------------------
% 0.21/0.54 % (21320)------------------------------
% 0.21/0.54 % (21309)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.54 % (21318)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.54 % (21319)Instruction limit reached!
% 0.21/0.54 % (21319)------------------------------
% 0.21/0.54 % (21319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (21319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (21319)Termination reason: Unknown
% 0.21/0.54 % (21319)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (21319)Memory used [KB]: 6140
% 0.21/0.54 % (21319)Time elapsed: 0.129 s
% 0.21/0.54 % (21319)Instructions burned: 8 (million)
% 0.21/0.54 % (21319)------------------------------
% 0.21/0.54 % (21319)------------------------------
% 0.21/0.54 % (21309)Refutation not found, incomplete strategy% (21309)------------------------------
% 0.21/0.54 % (21309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (21309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (21309)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (21309)Memory used [KB]: 6012
% 0.21/0.54 % (21309)Time elapsed: 0.125 s
% 0.21/0.54 % (21309)Instructions burned: 4 (million)
% 0.21/0.54 % (21309)------------------------------
% 0.21/0.54 % (21309)------------------------------
% 0.21/0.54 % (21328)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.54 % (21337)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.21/0.54 % (21331)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.54 % (21317)Refutation not found, incomplete strategy% (21317)------------------------------
% 0.21/0.54 % (21317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (21317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (21317)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (21317)Memory used [KB]: 6012
% 0.21/0.54 % (21317)Time elapsed: 0.136 s
% 0.21/0.54 % (21317)Instructions burned: 5 (million)
% 0.21/0.54 % (21317)------------------------------
% 0.21/0.54 % (21317)------------------------------
% 0.21/0.54 % (21335)Instruction limit reached!
% 0.21/0.54 % (21335)------------------------------
% 0.21/0.54 % (21335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (21334)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (21314)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.54 % (21314)Refutation not found, incomplete strategy% (21314)------------------------------
% 0.21/0.54 % (21314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (21314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (21314)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (21314)Memory used [KB]: 5884
% 0.21/0.54 % (21314)Time elapsed: 0.106 s
% 0.21/0.54 % (21314)Instructions burned: 2 (million)
% 0.21/0.54 % (21314)------------------------------
% 0.21/0.54 % (21314)------------------------------
% 0.21/0.54 % (21332)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54 % (21323)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55 % (21329)First to succeed.
% 0.21/0.55 % (21336)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.55 % (21322)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.55 % (21325)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.55 % (21329)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Theorem for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (21329)------------------------------
% 0.21/0.55 % (21329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (21329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (21329)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (21329)Memory used [KB]: 6396
% 0.21/0.55 % (21329)Time elapsed: 0.132 s
% 0.21/0.55 % (21329)Instructions burned: 26 (million)
% 0.21/0.55 % (21329)------------------------------
% 0.21/0.55 % (21329)------------------------------
% 0.21/0.55 % (21307)Success in time 0.19 s
%------------------------------------------------------------------------------