%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO254+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:14 AM UTC 2026
% Result : Theorem 2.73s 1.32s
% Output : Refutation 3.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of formulae : 101 ( 29 unt; 10 def)
% Number of atoms : 269 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 271 ( 103 ~; 127 |; 24 &)
% ( 11 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 11 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 95 ( 0 sgn 89 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( before_on_line(X0,X1,X2)
<=> ( distinct_points(X1,X2)
& ~ ( left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0)) )
& ~ ( left_apart_point(X2,X0)
| left_apart_point(X2,reverse_line(X0)) )
& ~ unequally_directed_lines(X0,line_connecting(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bf_def) ).
fof(f6,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag1) ).
fof(f7,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X0,X2)
| distinct_points(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag2) ).
fof(f11,axiom,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag6) ).
fof(f14,axiom,
! [X0,X1] :
( ( unequally_directed_lines(X0,X1)
& unequally_directed_lines(X0,reverse_line(X1)) )
=> ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag9) ).
fof(f15,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag10) ).
fof(f16,axiom,
! [X0,X1] :
~ ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag11) ).
fof(f25,axiom,
! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco9) ).
fof(f32,conjecture,
! [X0,X1,X2] :
( ( distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2) )
=> ( before_on_line(X2,X0,X1)
& before_on_line(X2,X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X1,X2] :
( ( distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2) )
=> ( before_on_line(X2,X0,X1)
& before_on_line(X2,X1,X0) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( distinct_points(X1,X2)
& ~ ( left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0)) )
& ~ ( left_apart_point(X2,X0)
| left_apart_point(X2,reverse_line(X0)) )
& ~ unequally_directed_lines(X0,line_connecting(X1,X2)) )
=> before_on_line(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f36,plain,
? [X0,X1,X2] :
( ( ~ before_on_line(X2,X0,X1)
| ~ before_on_line(X2,X1,X0) )
& distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f37,plain,
? [X0,X1,X2] :
( ( ~ before_on_line(X2,X0,X1)
| ~ before_on_line(X2,X1,X0) )
& distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2) ),
inference(flattening,[],[f36]) ).
fof(f42,plain,
! [X0,X1,X2] :
( before_on_line(X0,X1,X2)
| ~ distinct_points(X1,X2)
| left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0))
| left_apart_point(X2,X0)
| left_apart_point(X2,reverse_line(X0))
| unequally_directed_lines(X0,line_connecting(X1,X2)) ),
inference(ennf_transformation,[],[f34]) ).
fof(f43,plain,
! [X0,X1,X2] :
( before_on_line(X0,X1,X2)
| ~ distinct_points(X1,X2)
| left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0))
| left_apart_point(X2,X0)
| left_apart_point(X2,reverse_line(X0))
| unequally_directed_lines(X0,line_connecting(X1,X2)) ),
inference(flattening,[],[f42]) ).
fof(f52,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| distinct_points(X1,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f53,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| distinct_points(X1,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f59,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f60,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f61,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f62,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(flattening,[],[f61]) ).
fof(f71,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f72,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f71]) ).
fof(f75,plain,
( ( ~ before_on_line(sK2,sK0,sK1)
| ~ before_on_line(sK2,sK1,sK0) )
& distinct_points(sK0,sK1)
& ~ apart_point_and_line(sK0,sK2)
& ~ apart_point_and_line(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f37]) ).
fof(f78,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f75]) ).
fof(f79,plain,
( ~ before_on_line(sK2,sK0,sK1)
| ~ before_on_line(sK2,sK1,sK0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f87,plain,
! [X2,X0,X1] :
( before_on_line(X0,X1,X2)
| ~ distinct_points(X1,X2)
| left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0))
| left_apart_point(X2,X0)
| left_apart_point(X2,reverse_line(X0))
| unequally_directed_lines(X0,line_connecting(X1,X2)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f92,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f93,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f97,plain,
! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
inference(cnf_transformation,[],[f25]) ).
fof(f101,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f59]) ).
fof(f103,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f60]) ).
fof(f104,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f62]) ).
fof(f112,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f117,definition,
( spl3_1
<=> before_on_line(sK2,sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f118,plain,
( ~ before_on_line(sK2,sK1,sK0)
| spl3_1 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,definition,
( spl3_2
<=> before_on_line(sK2,sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f121,plain,
( ~ before_on_line(sK2,sK0,sK1)
| spl3_2 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f122,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f79,f120,f117]) ).
fof(f126,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X0,reverse_line(line_connecting(X1,X2)))
| ~ unequally_directed_lines(X0,line_connecting(X2,X1)) ),
inference(resolution,[],[f112,f97]) ).
fof(f149,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(resolution,[],[f104,f101]) ).
fof(f169,definition,
( spl3_3
<=> unequally_directed_lines(sK2,line_connecting(sK1,sK0)) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f170,plain,
( unequally_directed_lines(sK2,line_connecting(sK1,sK0))
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f172,definition,
( spl3_4
<=> left_apart_point(sK0,reverse_line(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f173,plain,
( left_apart_point(sK0,reverse_line(sK2))
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f175,definition,
( spl3_5
<=> left_apart_point(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f176,plain,
( left_apart_point(sK0,sK2)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f178,definition,
( spl3_6
<=> left_apart_point(sK1,reverse_line(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f179,plain,
( left_apart_point(sK1,reverse_line(sK2))
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f181,definition,
( spl3_7
<=> left_apart_point(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f182,plain,
( left_apart_point(sK1,sK2)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f184,definition,
( spl3_8
<=> distinct_points(sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f185,plain,
( ~ distinct_points(sK1,sK0)
| spl3_8 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f187,plain,
( ! [X0] :
( ~ distinct_points(X0,sK1)
| distinct_points(X0,sK0) )
| spl3_8 ),
inference(resolution,[],[f185,f92]) ).
fof(f188,plain,
( distinct_points(sK0,sK0)
| spl3_8 ),
inference(resolution,[],[f187,f78]) ).
fof(f190,plain,
( $false
| spl3_8 ),
inference(resolution,[],[f188,f93]) ).
fof(f191,plain,
spl3_8,
inference(avatar_contradiction_clause,[],[f190]) ).
fof(f192,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(resolution,[],[f149,f101]) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,line_connecting(X1,X2))
| ~ unequally_directed_lines(X0,line_connecting(X2,X1)) ),
inference(resolution,[],[f126,f192]) ).
fof(f348,plain,
( $false
| ~ spl3_6 ),
inference(resolution,[],[f179,f103]) ).
fof(f349,plain,
~ spl3_6,
inference(avatar_contradiction_clause,[],[f348]) ).
fof(f350,plain,
( $false
| ~ spl3_4 ),
inference(resolution,[],[f173,f103]) ).
fof(f351,plain,
~ spl3_4,
inference(avatar_contradiction_clause,[],[f350]) ).
fof(f352,plain,
( $false
| ~ spl3_5 ),
inference(resolution,[],[f176,f103]) ).
fof(f353,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f354,plain,
( $false
| ~ spl3_7 ),
inference(resolution,[],[f182,f103]) ).
fof(f355,plain,
~ spl3_7,
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f415,definition,
( spl3_19
<=> unequally_directed_lines(sK2,line_connecting(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_19])],[avatar_definition]) ).
fof(f416,plain,
( unequally_directed_lines(sK2,line_connecting(sK0,sK1))
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f418,definition,
( spl3_20
<=> distinct_points(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_20])],[avatar_definition]) ).
fof(f419,plain,
( ~ distinct_points(sK0,sK1)
| spl3_20 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f421,plain,
( $false
| spl3_20 ),
inference(resolution,[],[f419,f78]) ).
fof(f423,plain,
spl3_20,
inference(avatar_contradiction_clause,[],[f421]) ).
fof(f643,plain,
! [X0,X1] : ~ unequally_directed_lines(X0,line_connecting(X1,X1)),
inference(factoring,[],[f200]) ).
fof(f644,plain,
( ~ distinct_points(sK1,sK0)
| left_apart_point(sK1,sK2)
| left_apart_point(sK1,reverse_line(sK2))
| left_apart_point(sK0,sK2)
| left_apart_point(sK0,reverse_line(sK2))
| unequally_directed_lines(sK2,line_connecting(sK1,sK0))
| spl3_1 ),
inference(resolution,[],[f118,f87]) ).
fof(f645,plain,
( spl3_3
| spl3_4
| spl3_5
| spl3_6
| spl3_7
| ~ spl3_8
| spl3_1 ),
inference(avatar_split_clause,[],[f644,f117,f184,f181,f178,f175,f172,f169]) ).
fof(f913,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X0,line_connecting(X1,X1))
| ~ unequally_directed_lines(X0,X2) ),
inference(resolution,[],[f643,f112]) ).
fof(f1699,plain,
! [X0,X1] : ~ unequally_directed_lines(X0,X1),
inference(resolution,[],[f913,f643]) ).
fof(f3461,plain,
( $false
| ~ spl3_3 ),
inference(resolution,[],[f1699,f170]) ).
fof(f3462,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f3461]) ).
fof(f3463,plain,
( ~ distinct_points(sK0,sK1)
| left_apart_point(sK0,sK2)
| left_apart_point(sK0,reverse_line(sK2))
| left_apart_point(sK1,sK2)
| left_apart_point(sK1,reverse_line(sK2))
| unequally_directed_lines(sK2,line_connecting(sK0,sK1))
| spl3_2 ),
inference(resolution,[],[f121,f87]) ).
fof(f3464,plain,
( spl3_19
| spl3_6
| spl3_7
| spl3_4
| spl3_5
| ~ spl3_20
| spl3_2 ),
inference(avatar_split_clause,[],[f3463,f120,f418,f175,f172,f181,f178,f415]) ).
fof(f3468,plain,
( $false
| ~ spl3_19 ),
inference(resolution,[],[f416,f1699]) ).
fof(f3469,plain,
~ spl3_19,
inference(avatar_contradiction_clause,[],[f3468]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f122]) ).
cnf(s3,plain,
spl3_8,
inference(sat_conversion,[],[f191]) ).
cnf(s9,plain,
~ spl3_6,
inference(sat_conversion,[],[f349]) ).
cnf(s10,plain,
~ spl3_4,
inference(sat_conversion,[],[f351]) ).
cnf(s11,plain,
~ spl3_5,
inference(sat_conversion,[],[f353]) ).
cnf(s12,plain,
~ spl3_7,
inference(sat_conversion,[],[f355]) ).
cnf(s19,plain,
spl3_20,
inference(sat_conversion,[],[f423]) ).
cnf(s39,plain,
( spl3_1
| spl3_3
| spl3_4
| spl3_5
| spl3_6
| spl3_7
| ~ spl3_8 ),
inference(sat_conversion,[],[f645]) ).
cnf(s358,plain,
~ spl3_3,
inference(sat_conversion,[],[f3462]) ).
cnf(s359,plain,
( spl3_2
| spl3_4
| spl3_5
| spl3_6
| spl3_7
| spl3_19
| ~ spl3_20 ),
inference(sat_conversion,[],[f3464]) ).
cnf(s360,plain,
~ spl3_19,
inference(sat_conversion,[],[f3469]) ).
cnf(s361,plain,
( spl3_2
| spl3_4
| spl3_5
| spl3_6
| spl3_7
| ~ spl3_20 ),
inference(rat,[],[s359,s360]) ).
cnf(s366,plain,
( spl3_1
| spl3_4
| spl3_5
| spl3_6
| spl3_7
| ~ spl3_8 ),
inference(rat,[],[s39,s358]) ).
cnf(s373,plain,
spl3_2,
inference(rat,[],[s361,s19,s12,s10,s11,s9]) ).
cnf(s374,plain,
spl3_1,
inference(rat,[],[s366,s9,s12,s10,s11,s3]) ).
cnf(s375,plain,
$false,
inference(rat,[],[s1,s373,s374]) ).
fof(f3470,plain,
$false,
inference(avatar_sat_refutation,[],[s375]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO254+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n014.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 07:53:01 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.73/1.31 % (480675)Detected formulas, will run a generic FOF schedule.
% 2.73/1.31 % (480801)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3720893839:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.73/1.31 % (480804)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2602182722:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.73/1.31 % (480805)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2084727856:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.73/1.31 % (480804)Refutation not found, incomplete strategy
% 2.73/1.31 % (480804)------------------------------
% 2.73/1.31 % (480804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.31 % (480804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.31 % (480804)CaDiCaL version: 2.1.3
% 2.73/1.31 % (480804)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.31 % (480804)Time elapsed: 0.001 s
% 2.73/1.31 % (480804)Peak memory usage: 87 MB
% 2.73/1.32 % (480803)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3864333548:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.73/1.32 % (480802)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3219332420:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.73/1.32 % (480806)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3247783008:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.73/1.32 % (480807)dis-21_1_sil=8000:lcm=predicate:random_seed=866213674:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.73/1.32 % (480807)First to succeed.
% 2.73/1.32 % (480807)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-480675"
% 2.73/1.32 % (480805)Instruction limit reached!
% 2.73/1.32 % (480805)------------------------------
% 2.73/1.32 % (480805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.32 % (480805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.32 % (480805)CaDiCaL version: 2.1.3
% 2.73/1.32 % (480805)Termination reason: Instruction limit
% 2.73/1.32 % (480805)Termination phase: Saturation
% 2.73/1.32 % (480805)Time elapsed: 0.074 s
% 2.73/1.32 % (480805)Peak memory usage: 87 MB
% 2.73/1.32 % (480805)Instructions burned: 119 (million)
% 2.73/1.32 % (480806)Instruction limit reached!
% 2.73/1.32 % (480806)------------------------------
% 2.73/1.32 % (480806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.32 % (480806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.32 % (480806)CaDiCaL version: 2.1.3
% 2.73/1.32 % (480806)Termination reason: Instruction limit
% 2.73/1.32 % (480806)Termination phase: Saturation
% 2.73/1.32 % (480806)Time elapsed: 0.092 s
% 2.73/1.32 % (480806)Peak memory usage: 89 MB
% 2.73/1.32 % (480806)Instructions burned: 140 (million)
% 2.73/1.32 % (480815)lrs+10_1_sil=8000:sp=occurrence:random_seed=3975084175:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.73/1.32 % (480804)------------------------------
% 2.73/1.32 % (480804)------------------------------
% 2.73/1.32 % (480816)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1814891977:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.73/1.32 % (480816)Refutation not found, incomplete strategy
% 2.73/1.32 % (480816)------------------------------
% 2.73/1.32 % (480816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.32 % (480816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.32 % (480816)CaDiCaL version: 2.1.3
% 2.73/1.32 % (480816)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.32 % (480816)Time elapsed: 0.002 s
% 2.73/1.32 % (480816)Peak memory usage: 88 MB
% 2.73/1.32 % (480816)Instructions burned: 2 (million)
% 2.73/1.32 % (480807)Refutation found. Thanks to Tanya!
% 2.73/1.32 % SZS status Theorem for theBenchmark
% 2.73/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.94/1.51 % (480807)------------------------------
% 3.94/1.51 % (480807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.51 % (480807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.51 % (480807)CaDiCaL version: 2.1.3
% 3.94/1.51 % (480807)Termination reason: Refutation
% 3.94/1.51 % (480807)Time elapsed: 0.052 s
% 3.94/1.51 % (480807)Peak memory usage: 90 MB
% 3.94/1.51 % (480807)Instructions burned: 83 (million)
% 3.94/1.51 % (480807)------------------------------
% 3.94/1.51 % (480807)------------------------------
% 3.94/1.51 % (480675)Success in time 0.463 s
% 3.94/1.51 % Vampire exiting
%------------------------------------------------------------------------------