%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET612+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:41:22 PM UTC 2026
% Result : Theorem 2.76s 1.26s
% Output : Refutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 107 ( 20 unt; 9 def)
% Number of atoms : 264 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 260 ( 103 ~; 113 |; 26 &)
% ( 15 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 115 ( 0 sgn 110 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f2,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
fof(f3,axiom,
! [X0,X1,X2] :
( member(X2,difference(X0,X1))
<=> ( member(X2,X0)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
fof(f4,axiom,
! [X0,X1] : subset(X0,union(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_of_union) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X0,X2) )
=> subset(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_of_subsets) ).
fof(f6,axiom,
! [X0,X1,X2] :
( subset(X0,X1)
=> subset(difference(X2,X1),difference(X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_difference) ).
fof(f7,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).
fof(f10,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f13,conjecture,
! [X0,X1,X2] : difference(X0,union(X1,X2)) = intersection(difference(X0,X1),difference(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th85) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] : difference(X0,union(X1,X2)) = intersection(difference(X0,X1),difference(X0,X2)),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
! [X0,X1,X2] :
( subset(X0,intersection(X1,X2))
| ~ subset(X0,X1)
| ~ subset(X0,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f16,plain,
! [X0,X1,X2] :
( subset(X0,intersection(X1,X2))
| ~ subset(X0,X1)
| ~ subset(X0,X2) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0,X1,X2] :
( subset(difference(X2,X1),difference(X2,X0))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f18,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f19,plain,
? [X0,X1,X2] : difference(X0,union(X1,X2)) != intersection(difference(X0,X1),difference(X0,X2)),
inference(ennf_transformation,[],[f14]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f22]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) )
& ( ( member(X2,X0)
& ~ member(X2,X1) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) )
& ( ( member(X2,X0)
& ~ member(X2,X1) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f27,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f29,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f29]) ).
fof(f34,plain,
difference(sK2,union(sK3,sK4)) != intersection(difference(sK2,sK3),difference(sK2,sK4)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f19]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f36,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f43,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f44,plain,
! [X0,X1] : subset(X0,union(X0,X1)),
inference(cnf_transformation,[],[f4]) ).
fof(f45,plain,
! [X2,X0,X1] :
( subset(X0,intersection(X1,X2))
| ~ subset(X0,X1)
| ~ subset(X0,X2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f46,plain,
! [X2,X0,X1] :
( subset(difference(X2,X1),difference(X2,X0))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f49,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f53,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f54,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f60,plain,
difference(sK2,union(sK3,sK4)) != intersection(difference(sK2,sK3),difference(sK2,sK4)),
inference(cnf_transformation,[],[f34]) ).
fof(f65,definition,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ5_eqProxy])],[equality_proxy_definition]) ).
fof(f66,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(equality_proxy_replacement,[],[f49,f65]) ).
fof(f71,plain,
~ sQ5_eqProxy(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),
inference(equality_proxy_replacement,[],[f60,f65]) ).
fof(f80,plain,
( ~ subset(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4)))
| ~ subset(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))) ),
inference(resolution,[],[f66,f71]) ).
fof(f83,definition,
( spl6_1
<=> subset(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f84,plain,
( ~ subset(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4)))
| spl6_1 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,definition,
( spl6_2
<=> subset(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f87,plain,
( ~ subset(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4)))
| spl6_2 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,plain,
( ~ spl6_2
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f80,f83,f86]) ).
fof(f124,plain,
( ~ member(sK0(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),difference(sK2,union(sK3,sK4)))
| spl6_2 ),
inference(resolution,[],[f87,f54]) ).
fof(f125,plain,
( member(sK0(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),intersection(difference(sK2,sK3),difference(sK2,sK4)))
| spl6_2 ),
inference(resolution,[],[f87,f53]) ).
fof(f126,plain,
( ~ member(sK0(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK2)
| member(sK0(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),union(sK3,sK4))
| spl6_2 ),
inference(resolution,[],[f124,f43]) ).
fof(f128,definition,
( spl6_7
<=> member(sK0(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),union(sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f129,plain,
( member(sK0(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),union(sK3,sK4))
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f131,definition,
( spl6_8
<=> member(sK0(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK2) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
fof(f132,plain,
( ~ member(sK0(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK2)
| spl6_8 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f133,plain,
( spl6_7
| ~ spl6_8
| spl6_2 ),
inference(avatar_split_clause,[],[f126,f86,f131,f128]) ).
fof(f134,plain,
( member(sK0(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),difference(sK2,sK3))
| spl6_2 ),
inference(resolution,[],[f125,f39]) ).
fof(f135,plain,
( member(sK0(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),difference(sK2,sK4))
| spl6_2 ),
inference(resolution,[],[f125,f38]) ).
fof(f136,plain,
( member(sK0(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK2)
| spl6_2 ),
inference(resolution,[],[f134,f42]) ).
fof(f137,plain,
( ~ member(sK0(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK3)
| spl6_2 ),
inference(resolution,[],[f134,f41]) ).
fof(f138,plain,
( $false
| spl6_2
| spl6_8 ),
inference(resolution,[],[f136,f132]) ).
fof(f139,plain,
( spl6_2
| spl6_8 ),
inference(avatar_contradiction_clause,[],[f138]) ).
fof(f140,plain,
( member(sK0(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK4)
| member(sK0(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK3)
| ~ spl6_7 ),
inference(resolution,[],[f129,f35]) ).
fof(f142,definition,
( spl6_9
<=> member(sK0(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK3) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
fof(f143,plain,
( member(sK0(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK3)
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,definition,
( spl6_10
<=> member(sK0(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK4) ),
introduced(definition,[new_symbols(definition,[spl6_10])],[avatar_definition]) ).
fof(f146,plain,
( member(sK0(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK4)
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f147,plain,
( spl6_9
| spl6_10
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f140,f128,f145,f142]) ).
fof(f149,plain,
( ~ member(sK0(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK4)
| spl6_2 ),
inference(resolution,[],[f135,f41]) ).
fof(f150,plain,
( $false
| spl6_2
| ~ spl6_10 ),
inference(resolution,[],[f149,f146]) ).
fof(f151,plain,
( spl6_2
| ~ spl6_10 ),
inference(avatar_contradiction_clause,[],[f150]) ).
fof(f152,plain,
( $false
| spl6_2
| ~ spl6_9 ),
inference(resolution,[],[f143,f137]) ).
fof(f153,plain,
( spl6_2
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f152]) ).
fof(f154,plain,
( ~ subset(difference(sK2,union(sK3,sK4)),difference(sK2,sK3))
| ~ subset(difference(sK2,union(sK3,sK4)),difference(sK2,sK4))
| spl6_1 ),
inference(resolution,[],[f84,f45]) ).
fof(f158,definition,
( spl6_11
<=> subset(difference(sK2,union(sK3,sK4)),difference(sK2,sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_11])],[avatar_definition]) ).
fof(f159,plain,
( ~ subset(difference(sK2,union(sK3,sK4)),difference(sK2,sK4))
| spl6_11 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f161,definition,
( spl6_12
<=> subset(difference(sK2,union(sK3,sK4)),difference(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl6_12])],[avatar_definition]) ).
fof(f162,plain,
( ~ subset(difference(sK2,union(sK3,sK4)),difference(sK2,sK3))
| spl6_12 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f163,plain,
( ~ spl6_11
| ~ spl6_12
| spl6_1 ),
inference(avatar_split_clause,[],[f154,f83,f161,f158]) ).
fof(f164,plain,
( ~ subset(sK4,union(sK3,sK4))
| spl6_11 ),
inference(resolution,[],[f159,f46]) ).
fof(f185,plain,
( ~ member(sK0(sK4,union(sK3,sK4)),union(sK3,sK4))
| spl6_11 ),
inference(resolution,[],[f164,f54]) ).
fof(f186,plain,
( member(sK0(sK4,union(sK3,sK4)),sK4)
| spl6_11 ),
inference(resolution,[],[f164,f53]) ).
fof(f204,plain,
( ~ member(sK0(sK4,union(sK3,sK4)),sK4)
| spl6_11 ),
inference(resolution,[],[f185,f36]) ).
fof(f213,plain,
( $false
| spl6_11 ),
inference(resolution,[],[f204,f186]) ).
fof(f214,plain,
spl6_11,
inference(avatar_contradiction_clause,[],[f213]) ).
fof(f215,plain,
( ~ subset(sK3,union(sK3,sK4))
| spl6_12 ),
inference(resolution,[],[f162,f46]) ).
fof(f218,plain,
( $false
| spl6_12 ),
inference(resolution,[],[f215,f44]) ).
fof(f221,plain,
spl6_12,
inference(avatar_contradiction_clause,[],[f218]) ).
cnf(s2,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f89]) ).
cnf(s7,plain,
( spl6_2
| spl6_7
| ~ spl6_8 ),
inference(sat_conversion,[],[f133]) ).
cnf(s8,plain,
( spl6_2
| spl6_8 ),
inference(sat_conversion,[],[f139]) ).
cnf(s9,plain,
( ~ spl6_7
| spl6_9
| spl6_10 ),
inference(sat_conversion,[],[f147]) ).
cnf(s10,plain,
( spl6_2
| ~ spl6_10 ),
inference(sat_conversion,[],[f151]) ).
cnf(s11,plain,
( spl6_2
| ~ spl6_9 ),
inference(sat_conversion,[],[f153]) ).
cnf(s12,plain,
( spl6_1
| ~ spl6_11
| ~ spl6_12 ),
inference(sat_conversion,[],[f163]) ).
cnf(s18,plain,
spl6_11,
inference(sat_conversion,[],[f214]) ).
cnf(s19,plain,
spl6_12,
inference(sat_conversion,[],[f221]) ).
cnf(s20,plain,
spl6_1,
inference(rat,[],[s12,s19,s18]) ).
cnf(s21,plain,
~ spl6_2,
inference(rat,[],[s2,s20]) ).
cnf(s22,plain,
~ spl6_9,
inference(rat,[],[s11,s21]) ).
cnf(s23,plain,
~ spl6_10,
inference(rat,[],[s10,s21]) ).
cnf(s24,plain,
spl6_8,
inference(rat,[],[s8,s21]) ).
cnf(s25,plain,
spl6_7,
inference(rat,[],[s7,s24,s21]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s9,s23,s22,s25]) ).
fof(f222,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET612+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 02:23:32 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 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
% 2.76/1.26 % (3193585)Detected formulas, will run a generic FOF schedule.
% 2.76/1.26 % (3193602)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=2601139947:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.76/1.26 % (3193601)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=2808784718:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.76/1.26 % (3193606)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2997977151:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.76/1.26 % (3193605)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4234242744:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.76/1.26 % (3193603)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=4139703932:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.76/1.26 % (3193607)dis-21_1_sil=8000:lcm=predicate:random_seed=1588566639: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)
% 2.76/1.26 % (3193604)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1916646927:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.76/1.26 % (3193604)Refutation not found, incomplete strategy
% 2.76/1.26 % (3193604)------------------------------
% 2.76/1.26 % (3193604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.26 % (3193604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.26 % (3193604)CaDiCaL version: 2.1.3
% 2.76/1.26 % (3193604)Termination reason: Refutation not found, incomplete strategy
% 2.76/1.26 % (3193604)Time elapsed: 0.002 s
% 2.76/1.26 % (3193604)Peak memory usage: 88 MB
% 2.76/1.26 % (3193604)Instructions burned: 1 (million)
% 2.76/1.26 % (3193607)First to succeed.
% 2.76/1.26 % (3193607)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3193585"
% 2.76/1.26 % (3193605)Instruction limit reached!
% 2.76/1.26 % (3193605)------------------------------
% 2.76/1.26 % (3193605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.26 % (3193605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.26 % (3193605)CaDiCaL version: 2.1.3
% 2.76/1.26 % (3193605)Termination reason: Instruction limit
% 2.76/1.26 % (3193605)Termination phase: Saturation
% 2.76/1.26 % (3193605)Time elapsed: 0.076 s
% 2.76/1.26 % (3193605)Peak memory usage: 89 MB
% 2.76/1.26 % (3193605)Instructions burned: 119 (million)
% 2.76/1.26 % (3193606)Instruction limit reached!
% 2.76/1.26 % (3193606)------------------------------
% 2.76/1.26 % (3193606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.26 % (3193606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.26 % (3193606)CaDiCaL version: 2.1.3
% 2.76/1.26 % (3193606)Termination reason: Instruction limit
% 2.76/1.26 % (3193606)Termination phase: Saturation
% 2.76/1.26 % (3193606)Time elapsed: 0.087 s
% 2.76/1.26 % (3193606)Peak memory usage: 89 MB
% 2.76/1.26 % (3193606)Instructions burned: 140 (million)
% 2.76/1.26 % (3193629)lrs+10_1_sil=8000:sp=occurrence:random_seed=1917605979:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.76/1.26 % (3193604)------------------------------
% 2.76/1.26 % (3193604)------------------------------
% 2.76/1.26 % (3193634)lrs+10_1_sil=32000:urr=on:br=off:random_seed=805654366:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.76/1.26 % (3193607)Refutation found. Thanks to Tanya!
% 2.76/1.26 % SZS status Theorem for theBenchmark
% 2.76/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.63/1.46 % (3193607)------------------------------
% 3.63/1.46 % (3193607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.46 % (3193607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.46 % (3193607)CaDiCaL version: 2.1.3
% 3.63/1.46 % (3193607)Termination reason: Refutation
% 3.63/1.46 % (3193607)Time elapsed: 0.005 s
% 3.63/1.46 % (3193607)Peak memory usage: 89 MB
% 3.63/1.46 % (3193607)Instructions burned: 6 (million)
% 3.63/1.46 % (3193607)------------------------------
% 3.63/1.46 % (3193607)------------------------------
% 3.63/1.46 % (3193585)Success in time 0.43 s
% 3.63/1.46 % Vampire exiting
%------------------------------------------------------------------------------