%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ021-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:31:14 PM UTC 2026
% Result : Unsatisfiable 2.92s 1.33s
% Output : Refutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 24
% Syntax : Number of formulae : 121 ( 18 unt; 13 def)
% Number of atoms : 284 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 282 ( 119 ~; 150 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 14 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 112 ( 0 sgn 112 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ a_truth(knave(X0),X1)
| ~ a_truth(knight(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_knight_and_knave) ).
fof(f2,axiom,
! [X0,X1] :
( a_truth(knight(X0),X1)
| a_truth(knave(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knight_or_knave) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ a_truth(knight(X0),X1)
| ~ says(X0,X2)
| a_truth(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knights_tell_truth1) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ a_truth(knight(X0),X1)
| says(X0,X2)
| ~ a_truth(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knights_tell_truth2) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ a_truth(knave(X0),X1)
| ~ says(X0,X2)
| ~ a_truth(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knaves_lie1) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ a_truth(knave(X0),X1)
| says(X0,X2)
| a_truth(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knaves_lie2) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ a_truth(and(X0,X1),X2)
| a_truth(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjunction1) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ a_truth(and(X0,X1),X2)
| a_truth(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjunction2) ).
fof(f11,axiom,
! [X2,X0,X1] :
( a_truth(and(X0,X1),X2)
| ~ a_truth(X0,X2)
| ~ a_truth(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjunction3) ).
fof(f12,negated_conjecture,
! [X0] :
( ~ says(me,X0)
| ~ a_truth(and(knave(me),rich(me)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_statement_exists1) ).
fof(f13,negated_conjecture,
! [X0] :
( a_truth(and(knave(me),rich(me)),X0)
| says(me,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_statement_exists2) ).
fof(f14,plain,
! [X0] :
( says(me,X0)
| a_truth(knave(me),X0) ),
inference(resolution,[],[f9,f13]) ).
fof(f15,plain,
! [X0] :
( a_truth(rich(me),X0)
| says(me,X0) ),
inference(resolution,[],[f10,f13]) ).
fof(f17,plain,
! [X2,X0,X1] :
( ~ says(X0,X1)
| a_truth(X1,X2)
| a_truth(knave(X0),X2) ),
inference(resolution,[],[f5,f2]) ).
fof(f19,plain,
! [X0,X1] :
( says(X0,knight(X0))
| ~ a_truth(knight(X0),X1) ),
inference(factoring,[],[f6]) ).
fof(f20,plain,
! [X0] :
( ~ a_truth(knight(me),X0)
| ~ a_truth(and(knave(me),rich(me)),knight(me)) ),
inference(resolution,[],[f19,f12]) ).
fof(f22,definition,
( spl0_1
<=> a_truth(and(knave(me),rich(me)),knight(me)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f24,plain,
( ~ a_truth(and(knave(me),rich(me)),knight(me))
| spl0_1 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f26,definition,
( spl0_2
<=> ! [X0] : ~ a_truth(knight(me),X0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f27,plain,
( ! [X0] : ~ a_truth(knight(me),X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f28,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f20,f26,f22]) ).
fof(f29,plain,
! [X0,X1] :
( ~ a_truth(knave(X0),X1)
| ~ says(X0,knave(X0)) ),
inference(factoring,[],[f7]) ).
fof(f34,plain,
( ~ a_truth(knave(me),knight(me))
| ~ a_truth(rich(me),knight(me))
| spl0_1 ),
inference(resolution,[],[f11,f24]) ).
fof(f36,definition,
( spl0_3
<=> a_truth(rich(me),knight(me)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f38,plain,
( ~ a_truth(rich(me),knight(me))
| spl0_3 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f40,definition,
( spl0_4
<=> a_truth(knave(me),knight(me)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f42,plain,
( ~ a_truth(knave(me),knight(me))
| spl0_4 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f43,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f34,f22,f40,f36]) ).
fof(f47,plain,
! [X0,X1] :
( a_truth(knave(me),X1)
| a_truth(X0,X1)
| a_truth(knave(me),X0) ),
inference(resolution,[],[f17,f14]) ).
fof(f50,plain,
! [X0,X1] :
( a_truth(X0,X1)
| a_truth(knave(me),X0)
| ~ says(me,knave(me)) ),
inference(resolution,[],[f47,f29]) ).
fof(f52,plain,
! [X2,X0,X1] :
( a_truth(knave(me),X0)
| a_truth(X0,X1)
| ~ says(me,X2)
| ~ a_truth(X2,X1) ),
inference(resolution,[],[f47,f7]) ).
fof(f54,plain,
! [X0,X1] :
( a_truth(X0,X1)
| ~ says(me,knave(me)) ),
inference(forward_subsumption_resolution,[],[f50,f29]) ).
fof(f56,definition,
( spl0_5
<=> says(me,knave(me)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f58,plain,
( ~ says(me,knave(me))
| spl0_5 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f60,definition,
( spl0_6
<=> ! [X0,X1] : a_truth(X0,X1) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f61,plain,
( ! [X0,X1] : a_truth(X0,X1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f62,plain,
( ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f54,f60,f56]) ).
fof(f65,plain,
( a_truth(knave(me),knave(me))
| spl0_5 ),
inference(resolution,[],[f58,f14]) ).
fof(f71,plain,
( ! [X0] :
( says(me,X0)
| a_truth(X0,knave(me)) )
| spl0_5 ),
inference(resolution,[],[f65,f8]) ).
fof(f72,plain,
( ! [X0] :
( ~ says(me,X0)
| ~ a_truth(X0,knave(me)) )
| spl0_5 ),
inference(resolution,[],[f65,f7]) ).
fof(f83,definition,
( spl0_8
<=> ! [X2,X0,X1] :
( ~ a_truth(X0,X1)
| a_truth(X0,X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f84,plain,
( ! [X2,X0,X1] :
( ~ a_truth(X0,X1)
| a_truth(X0,X2) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f90,plain,
( ! [X0,X1] :
( a_truth(knave(me),X1)
| a_truth(X0,X1)
| a_truth(X0,knave(me)) )
| spl0_5 ),
inference(resolution,[],[f71,f17]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ a_truth(knight(me),X0)
| ~ says(me,X2)
| ~ a_truth(X2,X1)
| a_truth(X0,X1) ),
inference(resolution,[],[f52,f1]) ).
fof(f146,plain,
! [X0] :
( ~ a_truth(knight(me),X0)
| ~ says(me,knight(me))
| a_truth(X0,X0) ),
inference(factoring,[],[f103]) ).
fof(f147,plain,
! [X0] :
( ~ a_truth(knight(me),X0)
| a_truth(X0,X0) ),
inference(forward_subsumption_resolution,[],[f146,f19]) ).
fof(f148,plain,
! [X0] :
( a_truth(knave(me),X0)
| a_truth(X0,X0) ),
inference(resolution,[],[f147,f2]) ).
fof(f156,plain,
! [X0,X1] :
( says(me,X1)
| a_truth(X0,X0)
| a_truth(X1,X0) ),
inference(resolution,[],[f148,f8]) ).
fof(f175,plain,
( ! [X0,X1] :
( ~ a_truth(X1,knave(me))
| a_truth(X1,X0)
| a_truth(X0,X0) )
| spl0_5 ),
inference(resolution,[],[f156,f72]) ).
fof(f203,plain,
( ! [X0] :
( a_truth(rich(me),X0)
| a_truth(X0,X0)
| says(me,knave(me)) )
| spl0_5 ),
inference(resolution,[],[f175,f15]) ).
fof(f209,plain,
( ! [X0] :
( a_truth(rich(me),X0)
| a_truth(X0,X0) )
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f203,f58]) ).
fof(f216,plain,
( a_truth(knight(me),knight(me))
| spl0_3
| spl0_5 ),
inference(resolution,[],[f209,f38]) ).
fof(f227,plain,
( ! [X0] :
( says(me,X0)
| ~ a_truth(X0,knight(me)) )
| spl0_3
| spl0_5 ),
inference(resolution,[],[f216,f6]) ).
fof(f238,plain,
( ~ a_truth(knave(me),knight(me))
| spl0_3
| spl0_5 ),
inference(resolution,[],[f227,f58]) ).
fof(f242,plain,
( ~ spl0_4
| spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f238,f56,f36,f40]) ).
fof(f245,plain,
( ! [X0] :
( a_truth(X0,knave(me))
| a_truth(X0,knight(me)) )
| spl0_4
| spl0_5 ),
inference(resolution,[],[f42,f90]) ).
fof(f301,plain,
( ! [X0,X1] :
( a_truth(and(X0,X1),knight(me))
| a_truth(X1,knave(me)) )
| spl0_4
| spl0_5 ),
inference(resolution,[],[f245,f10]) ).
fof(f325,plain,
( ! [X0] : a_truth(knave(me),X0)
| ~ spl0_2 ),
inference(resolution,[],[f27,f2]) ).
fof(f345,definition,
( spl0_11
<=> ! [X1] : a_truth(knave(me),X1) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f346,plain,
( ! [X1] : a_truth(knave(me),X1)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f1668,plain,
( ! [X0,X1] :
( a_truth(X0,knave(me))
| a_truth(X1,knight(me)) )
| spl0_4
| spl0_5 ),
inference(resolution,[],[f301,f9]) ).
fof(f1670,definition,
( spl0_47
<=> ! [X1] : a_truth(X1,knight(me)) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f1671,plain,
( ! [X1] : a_truth(X1,knight(me))
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f1670]) ).
fof(f1673,definition,
( spl0_48
<=> ! [X0] : a_truth(X0,knave(me)) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f1674,plain,
( ! [X0] : a_truth(X0,knave(me))
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f1673]) ).
fof(f1675,plain,
( spl0_47
| spl0_48
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f1668,f56,f40,f1673,f1670]) ).
fof(f1734,plain,
( ! [X0] : ~ a_truth(knight(X0),knave(me))
| ~ spl0_48 ),
inference(resolution,[],[f1674,f1]) ).
fof(f1742,plain,
( $false
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1734,f1674]) ).
fof(f1743,plain,
~ spl0_48,
inference(avatar_contradiction_clause,[],[f1742]) ).
fof(f1822,plain,
( ! [X0] : ~ a_truth(knight(X0),knight(me))
| ~ spl0_47 ),
inference(resolution,[],[f1671,f1]) ).
fof(f1831,plain,
( $false
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1822,f1671]) ).
fof(f1832,plain,
~ spl0_47,
inference(avatar_contradiction_clause,[],[f1831]) ).
fof(f1973,plain,
( ! [X0,X1] : ~ a_truth(knight(X0),X1)
| ~ spl0_6 ),
inference(resolution,[],[f61,f1]) ).
fof(f1985,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1973,f61]) ).
fof(f1986,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f1985]) ).
fof(f1990,plain,
( spl0_11
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f325,f26,f345]) ).
fof(f2057,plain,
( ! [X0,X1] :
( says(me,X0)
| a_truth(X0,X1) )
| ~ spl0_11 ),
inference(resolution,[],[f346,f8]) ).
fof(f2058,plain,
( ! [X0,X1] :
( ~ says(me,X0)
| ~ a_truth(X0,X1) )
| ~ spl0_11 ),
inference(resolution,[],[f346,f7]) ).
fof(f2091,definition,
( spl0_74
<=> ! [X1] : says(me,X1) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f2092,plain,
( ! [X1] : says(me,X1)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f2091]) ).
fof(f2094,definition,
( spl0_75
<=> ! [X0] : a_truth(and(knave(me),rich(me)),X0) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f2095,plain,
( ! [X0] : a_truth(and(knave(me),rich(me)),X0)
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f2094]) ).
fof(f2179,definition,
( spl0_83
<=> ! [X4,X3] :
( ~ says(me,X3)
| ~ a_truth(X3,X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f2180,plain,
( ! [X3,X4] :
( ~ says(me,X3)
| ~ a_truth(X3,X4) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f2179]) ).
fof(f2333,plain,
( ! [X0,X1] :
( a_truth(X0,X1)
| ~ a_truth(and(knave(me),rich(me)),X0) )
| ~ spl0_11 ),
inference(resolution,[],[f2057,f12]) ).
fof(f2350,plain,
( spl0_83
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f2058,f345,f2179]) ).
fof(f2361,plain,
( ! [X2,X0,X1] :
( ~ a_truth(X0,X1)
| a_truth(X0,X2) )
| ~ spl0_11
| ~ spl0_83 ),
inference(resolution,[],[f2180,f2057]) ).
fof(f2367,plain,
( spl0_8
| ~ spl0_11
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f2361,f2179,f345,f83]) ).
fof(f2397,plain,
( ! [X0,X1] :
( a_truth(and(knave(me),rich(me)),X0)
| says(me,X1) )
| ~ spl0_8 ),
inference(resolution,[],[f84,f13]) ).
fof(f2401,plain,
( spl0_74
| spl0_75
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f2397,f83,f2094,f2091]) ).
fof(f2414,plain,
( $false
| spl0_5
| ~ spl0_74 ),
inference(resolution,[],[f2092,f58]) ).
fof(f2420,plain,
( spl0_5
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f2414]) ).
fof(f2515,plain,
( ! [X0,X1] : a_truth(X0,X1)
| ~ spl0_11
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f2333,f2095]) ).
fof(f2516,plain,
( spl0_6
| ~ spl0_11
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f2515,f2094,f345,f60]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f28]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f43]) ).
cnf(s3,plain,
( ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f62]) ).
cnf(s8,plain,
( spl0_3
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f242]) ).
cnf(s89,plain,
( spl0_4
| spl0_5
| spl0_47
| spl0_48 ),
inference(sat_conversion,[],[f1675]) ).
cnf(s95,plain,
~ spl0_48,
inference(sat_conversion,[],[f1743]) ).
cnf(s108,plain,
~ spl0_47,
inference(sat_conversion,[],[f1832]) ).
cnf(s149,plain,
~ spl0_6,
inference(sat_conversion,[],[f1986]) ).
cnf(s151,plain,
( ~ spl0_2
| spl0_11 ),
inference(sat_conversion,[],[f1990]) ).
cnf(s189,plain,
( ~ spl0_11
| spl0_83 ),
inference(sat_conversion,[],[f2350]) ).
cnf(s190,plain,
( spl0_8
| ~ spl0_11
| ~ spl0_83 ),
inference(sat_conversion,[],[f2367]) ).
cnf(s196,plain,
( ~ spl0_8
| spl0_74
| spl0_75 ),
inference(sat_conversion,[],[f2401]) ).
cnf(s202,plain,
( spl0_5
| ~ spl0_74 ),
inference(sat_conversion,[],[f2420]) ).
cnf(s210,plain,
( spl0_6
| ~ spl0_11
| ~ spl0_75 ),
inference(sat_conversion,[],[f2516]) ).
cnf(s211,plain,
( spl0_4
| spl0_5 ),
inference(rat,[],[s89,s95,s108]) ).
cnf(s212,plain,
~ spl0_5,
inference(rat,[],[s3,s149]) ).
cnf(s213,plain,
~ spl0_74,
inference(rat,[],[s202,s212]) ).
cnf(s214,plain,
spl0_4,
inference(rat,[],[s211,s212]) ).
cnf(s216,plain,
spl0_3,
inference(rat,[],[s8,s212,s214]) ).
cnf(s223,plain,
spl0_1,
inference(rat,[],[s2,s214,s216]) ).
cnf(s226,plain,
spl0_2,
inference(rat,[],[s1,s223]) ).
cnf(s229,plain,
spl0_11,
inference(rat,[],[s151,s226]) ).
cnf(s230,plain,
~ spl0_75,
inference(rat,[],[s210,s149,s229]) ).
cnf(s231,plain,
spl0_83,
inference(rat,[],[s189,s229]) ).
cnf(s232,plain,
~ spl0_8,
inference(rat,[],[s196,s213,s230]) ).
cnf(s233,plain,
$false,
inference(rat,[],[s190,s229,s231,s232]) ).
fof(f2517,plain,
$false,
inference(avatar_sat_refutation,[],[s233]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ021-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n009.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 22:30:15 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 2.92/1.33 % (2473445)Input is clausal, will run a generic CNF schedule.
% 2.92/1.33 % (2473451)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=267242636:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.92/1.33 % (2473455)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1054231527:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.92/1.33 % (2473453)lrs+10_1_sil=8000:sp=occurrence:random_seed=1733828631:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.92/1.33 % (2473454)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=307836134:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.92/1.33 % (2473456)dis-21_1_sil=8000:lcm=predicate:random_seed=38210342:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.92/1.33 % (2473450)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=2056218883:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.92/1.33 % (2473452)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2491356950:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.92/1.33 % (2473454)Instruction limit reached!
% 2.92/1.33 % (2473454)------------------------------
% 2.92/1.33 % (2473454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.33 % (2473454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.33 % (2473454)CaDiCaL version: 2.1.3
% 2.92/1.33 % (2473454)Termination reason: Instruction limit
% 2.92/1.33 % (2473454)Termination phase: Saturation
% 2.92/1.33 % (2473454)Time elapsed: 0.064 s
% 2.92/1.33 % (2473454)Peak memory usage: 88 MB
% 2.92/1.33 % (2473454)Instructions burned: 115 (million)
% 2.92/1.33 % (2473456)Instruction limit reached!
% 2.92/1.33 % (2473456)------------------------------
% 2.92/1.33 % (2473456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.33 % (2473456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.33 % (2473456)CaDiCaL version: 2.1.3
% 2.92/1.33 % (2473456)Termination reason: Instruction limit
% 2.92/1.33 % (2473456)Termination phase: Saturation
% 2.92/1.33 % (2473456)Time elapsed: 0.065 s
% 2.92/1.33 % (2473456)Peak memory usage: 89 MB
% 2.92/1.33 % (2473456)Instructions burned: 117 (million)
% 2.92/1.33 % (2473453)Instruction limit reached!
% 2.92/1.33 % (2473453)------------------------------
% 2.92/1.33 % (2473453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.33 % (2473453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.33 % (2473453)CaDiCaL version: 2.1.3
% 2.92/1.33 % (2473453)Termination reason: Instruction limit
% 2.92/1.33 % (2473453)Termination phase: Saturation
% 2.92/1.33 % (2473453)Time elapsed: 0.068 s
% 2.92/1.33 % (2473453)Peak memory usage: 88 MB
% 2.92/1.33 % (2473453)Instructions burned: 107 (million)
% 2.92/1.33 % (2473455)First to succeed.
% 2.92/1.33 % (2473455)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2473445"
% 2.92/1.33 % (2473465)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1185627814:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.92/1.33 % (2473464)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3834803098:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.92/1.33 % (2473466)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1201980298:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.92/1.33 % (2473466)Refutation not found, incomplete strategy
% 2.92/1.33 % (2473466)------------------------------
% 2.92/1.33 % (2473466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.33 % (2473465)Refutation not found, incomplete strategy
% 2.92/1.33 % (2473465)------------------------------
% 2.92/1.33 % (2473465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.33 % (2473466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.33 % (2473465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.33 % (2473466)CaDiCaL version: 2.1.3
% 2.92/1.33 % (2473465)CaDiCaL version: 2.1.3
% 2.92/1.33 % (2473466)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.33 % (2473466)Time elapsed: 0.001 s
% 2.92/1.33 % (2473465)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.33 % (2473465)Time elapsed: 0.001 s
% 2.92/1.33 % (2473466)Peak memory usage: 87 MB
% 2.92/1.33 % (2473465)Peak memory usage: 87 MB
% 2.92/1.33 % (2473465)Instructions burned: 1 (million)
% 2.92/1.33 % (2473464)Refutation not found, incomplete strategy
% 2.92/1.33 % (2473464)------------------------------
% 2.92/1.33 % (2473464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.33 % (2473464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.33 % (2473464)CaDiCaL version: 2.1.3
% 2.92/1.33 % (2473464)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.33 % (2473464)Time elapsed: 0.002 s
% 2.92/1.33 % (2473464)Peak memory usage: 88 MB
% 2.92/1.33 % (2473464)Instructions burned: 1 (million)
% 2.92/1.33 % (2473451)Refutation not found, incomplete strategy
% 2.92/1.33 % (2473451)------------------------------
% 2.92/1.33 % (2473451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.33 % (2473451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.33 % (2473451)CaDiCaL version: 2.1.3
% 2.92/1.33 % (2473451)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.33 % (2473451)Time elapsed: 0.338 s
% 2.92/1.33 % (2473451)Peak memory usage: 126 MB
% 2.92/1.33 % (2473451)Instructions burned: 854 (million)
% 2.92/1.33 % (2473455)Refutation found. Thanks to Tanya!
% 2.92/1.33 % SZS status Unsatisfiable for theBenchmark
% 2.92/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 4.05/1.55 % (2473455)------------------------------
% 4.05/1.55 % (2473455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.55 % (2473455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.55 % (2473455)CaDiCaL version: 2.1.3
% 4.05/1.55 % (2473455)Termination reason: Refutation
% 4.05/1.55 % (2473455)Time elapsed: 0.076 s
% 4.05/1.55 % (2473455)Peak memory usage: 90 MB
% 4.05/1.55 % (2473455)Instructions burned: 111 (million)
% 4.05/1.55 % (2473455)------------------------------
% 4.05/1.55 % (2473455)------------------------------
% 4.05/1.55 % (2473445)Success in time 0.486 s
% 4.05/1.55 % Vampire exiting
%------------------------------------------------------------------------------