%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET614+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 2.72s 1.25s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 106 ( 14 unt; 11 def)
% Number of atoms : 261 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 252 ( 97 ~; 118 |; 20 &)
% ( 16 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn 73 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
fof(f2,axiom,
! [X0,X1,X2] :
( member(X2,difference(X0,X1))
<=> ( member(X2,X0)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
fof(f3,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_defn) ).
fof(f5,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f8,conjecture,
! [X0,X1,X2] : difference(difference(X0,X1),X2) = difference(X0,union(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_difference_difference_union) ).
fof(f9,negated_conjecture,
~ ! [X0,X1,X2] : difference(difference(X0,X1),X2) = difference(X0,union(X1,X2)),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f11,plain,
? [X0,X1,X2] : difference(difference(X0,X1),X2) != difference(X0,union(X1,X2)),
inference(ennf_transformation,[],[f9]) ).
fof(f12,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(f13,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,[],[f12]) ).
fof(f14,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,[],[f2]) ).
fof(f15,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,[],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f17,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f16]) ).
fof(f18,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,[],[f10]) ).
fof(f19,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,[],[f18]) ).
fof(f20,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))],[f19]) ).
fof(f24,plain,
difference(difference(sK2,sK3),sK4) != difference(sK2,union(sK3,sK4)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f11]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f26,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f27,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f30,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f33,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f36,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f37,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f43,plain,
difference(difference(sK2,sK3),sK4) != difference(sK2,union(sK3,sK4)),
inference(cnf_transformation,[],[f24]) ).
fof(f48,definition,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ5_eqProxy])],[equality_proxy_definition]) ).
fof(f49,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(equality_proxy_replacement,[],[f33,f48]) ).
fof(f53,plain,
~ sQ5_eqProxy(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),
inference(equality_proxy_replacement,[],[f43,f48]) ).
fof(f61,plain,
( ~ subset(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4)))
| ~ subset(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4)) ),
inference(resolution,[],[f49,f53]) ).
fof(f64,definition,
( spl6_1
<=> subset(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f65,plain,
( ~ subset(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4)))
| spl6_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,definition,
( spl6_2
<=> subset(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f68,plain,
( ~ subset(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4))
| spl6_2 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,plain,
( ~ spl6_2
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f61,f64,f67]) ).
fof(f72,plain,
( member(sK0(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(difference(sK2,sK3),sK4))
| spl6_1 ),
inference(resolution,[],[f65,f36]) ).
fof(f75,plain,
( member(sK0(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(sK2,sK3))
| spl6_1 ),
inference(resolution,[],[f72,f29]) ).
fof(f77,plain,
( member(sK0(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK2)
| spl6_1 ),
inference(resolution,[],[f75,f29]) ).
fof(f83,definition,
( spl6_3
<=> member(sK0(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),union(sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f84,plain,
( member(sK0(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),union(sK3,sK4))
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,definition,
( spl6_4
<=> member(sK0(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK2) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f87,plain,
( ~ member(sK0(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK2)
| spl6_4 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,plain,
( $false
| spl6_1
| spl6_4 ),
inference(resolution,[],[f87,f77]) ).
fof(f90,plain,
( spl6_1
| spl6_4 ),
inference(avatar_contradiction_clause,[],[f89]) ).
fof(f93,definition,
( spl6_5
<=> member(sK0(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK3) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f94,plain,
( member(sK0(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK3)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,definition,
( spl6_6
<=> member(sK0(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK4) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f97,plain,
( member(sK0(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK4)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,plain,
( ~ member(sK0(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4)),difference(difference(sK2,sK3),sK4))
| spl6_2 ),
inference(resolution,[],[f68,f37]) ).
fof(f100,plain,
( member(sK0(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4)),difference(sK2,union(sK3,sK4)))
| spl6_2 ),
inference(resolution,[],[f68,f36]) ).
fof(f101,plain,
( ~ member(sK0(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4)),difference(sK2,sK3))
| member(sK0(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4)),sK4)
| spl6_2 ),
inference(resolution,[],[f99,f30]) ).
fof(f103,definition,
( spl6_7
<=> member(sK0(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4)),sK4) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f104,plain,
( member(sK0(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4)),sK4)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f106,definition,
( spl6_8
<=> member(sK0(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4)),difference(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
fof(f107,plain,
( ~ member(sK0(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4)),difference(sK2,sK3))
| spl6_8 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f108,plain,
( spl6_7
| ~ spl6_8
| spl6_2 ),
inference(avatar_split_clause,[],[f101,f67,f106,f103]) ).
fof(f109,plain,
( member(sK0(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4)),sK2)
| spl6_2 ),
inference(resolution,[],[f100,f29]) ).
fof(f110,plain,
( ~ member(sK0(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4)),union(sK3,sK4))
| spl6_2 ),
inference(resolution,[],[f100,f28]) ).
fof(f111,plain,
( ~ member(sK0(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4)),sK2)
| member(sK0(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4)),sK3)
| spl6_8 ),
inference(resolution,[],[f107,f30]) ).
fof(f113,definition,
( spl6_9
<=> member(sK0(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4)),sK3) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
fof(f114,plain,
( member(sK0(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4)),sK3)
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,definition,
( spl6_10
<=> member(sK0(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4)),sK2) ),
introduced(definition,[new_symbols(definition,[spl6_10])],[avatar_definition]) ).
fof(f117,plain,
( ~ member(sK0(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4)),sK2)
| spl6_10 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f118,plain,
( spl6_9
| ~ spl6_10
| spl6_8 ),
inference(avatar_split_clause,[],[f111,f106,f116,f113]) ).
fof(f119,plain,
( $false
| spl6_2
| spl6_10 ),
inference(resolution,[],[f117,f109]) ).
fof(f120,plain,
( spl6_2
| spl6_10 ),
inference(avatar_contradiction_clause,[],[f119]) ).
fof(f121,plain,
( ~ member(sK0(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4)),sK3)
| spl6_2 ),
inference(resolution,[],[f110,f27]) ).
fof(f122,plain,
( ~ member(sK0(difference(sK2,union(sK3,sK4)),difference(difference(sK2,sK3),sK4)),sK4)
| spl6_2 ),
inference(resolution,[],[f110,f26]) ).
fof(f137,plain,
( $false
| spl6_2
| ~ spl6_9 ),
inference(resolution,[],[f121,f114]) ).
fof(f139,plain,
( spl6_2
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f137]) ).
fof(f141,plain,
( $false
| spl6_2
| ~ spl6_7 ),
inference(resolution,[],[f122,f104]) ).
fof(f143,plain,
( spl6_2
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f141]) ).
fof(f144,plain,
( ~ member(sK0(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(sK2,union(sK3,sK4)))
| spl6_1 ),
inference(resolution,[],[f65,f37]) ).
fof(f145,plain,
( member(sK0(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(difference(sK2,sK3),sK4))
| spl6_1 ),
inference(resolution,[],[f65,f36]) ).
fof(f146,plain,
( ~ member(sK0(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK2)
| member(sK0(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),union(sK3,sK4))
| spl6_1 ),
inference(resolution,[],[f144,f30]) ).
fof(f148,plain,
( spl6_3
| ~ spl6_4
| spl6_1 ),
inference(avatar_split_clause,[],[f146,f64,f86,f83]) ).
fof(f149,plain,
( member(sK0(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK4)
| member(sK0(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK3)
| ~ spl6_3 ),
inference(resolution,[],[f84,f25]) ).
fof(f150,plain,
( member(sK0(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(sK2,sK3))
| spl6_1 ),
inference(resolution,[],[f145,f29]) ).
fof(f151,plain,
( ~ member(sK0(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK4)
| spl6_1 ),
inference(resolution,[],[f145,f28]) ).
fof(f154,plain,
( ~ member(sK0(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK3)
| spl6_1 ),
inference(resolution,[],[f150,f28]) ).
fof(f166,plain,
( $false
| spl6_1
| ~ spl6_5 ),
inference(resolution,[],[f154,f94]) ).
fof(f168,plain,
( spl6_1
| ~ spl6_5 ),
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f169,plain,
( spl6_5
| spl6_6
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f149,f83,f96,f93]) ).
fof(f170,plain,
( $false
| spl6_1
| ~ spl6_6 ),
inference(resolution,[],[f97,f151]) ).
fof(f172,plain,
( spl6_1
| ~ spl6_6 ),
inference(avatar_contradiction_clause,[],[f170]) ).
cnf(s2,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f70]) ).
cnf(s4,plain,
( spl6_1
| spl6_4 ),
inference(sat_conversion,[],[f90]) ).
cnf(s6,plain,
( spl6_2
| spl6_7
| ~ spl6_8 ),
inference(sat_conversion,[],[f108]) ).
cnf(s7,plain,
( spl6_8
| spl6_9
| ~ spl6_10 ),
inference(sat_conversion,[],[f118]) ).
cnf(s8,plain,
( spl6_2
| spl6_10 ),
inference(sat_conversion,[],[f120]) ).
cnf(s9,plain,
( spl6_2
| ~ spl6_9 ),
inference(sat_conversion,[],[f139]) ).
cnf(s10,plain,
( spl6_2
| ~ spl6_7 ),
inference(sat_conversion,[],[f143]) ).
cnf(s11,plain,
( spl6_1
| spl6_3
| ~ spl6_4 ),
inference(sat_conversion,[],[f148]) ).
cnf(s12,plain,
( spl6_1
| ~ spl6_5 ),
inference(sat_conversion,[],[f168]) ).
cnf(s13,plain,
( ~ spl6_3
| spl6_5
| spl6_6 ),
inference(sat_conversion,[],[f169]) ).
cnf(s14,plain,
( spl6_1
| ~ spl6_6 ),
inference(sat_conversion,[],[f172]) ).
cnf(s15,plain,
spl6_1,
inference(rat,[],[s11,s13,s4,s12,s14]) ).
cnf(s16,plain,
~ spl6_2,
inference(rat,[],[s2,s15]) ).
cnf(s17,plain,
~ spl6_7,
inference(rat,[],[s10,s16]) ).
cnf(s18,plain,
~ spl6_9,
inference(rat,[],[s9,s16]) ).
cnf(s19,plain,
spl6_10,
inference(rat,[],[s8,s16]) ).
cnf(s20,plain,
~ spl6_8,
inference(rat,[],[s6,s16,s17]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s7,s19,s18,s20]) ).
fof(f173,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET614+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 02:21:54 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.72/1.25 % (2930755)Detected formulas, will run a generic FOF schedule.
% 2.72/1.25 % (2930762)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=1103633163:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.72/1.25 % (2930765)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1436626668:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.72/1.25 % (2930763)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3460108938:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.72/1.25 % (2930764)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3009241847:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.72/1.25 % (2930760)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=2597199528:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.72/1.25 % (2930761)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=957664675:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.72/1.25 % (2930763)Refutation not found, incomplete strategy
% 2.72/1.25 % (2930763)------------------------------
% 2.72/1.25 % (2930763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.25 % (2930763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.25 % (2930763)CaDiCaL version: 2.1.3
% 2.72/1.25 % (2930763)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.25 % (2930763)Time elapsed: 0.001 s
% 2.72/1.25 % (2930763)Peak memory usage: 88 MB
% 2.72/1.25 % (2930766)dis-21_1_sil=8000:lcm=predicate:random_seed=3639746950: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)
% 2.72/1.25 % (2930766)First to succeed.
% 2.72/1.25 % (2930766)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2930755"
% 2.72/1.25 % (2930764)Instruction limit reached!
% 2.72/1.25 % (2930764)------------------------------
% 2.72/1.25 % (2930764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.25 % (2930764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.25 % (2930764)CaDiCaL version: 2.1.3
% 2.72/1.25 % (2930764)Termination reason: Instruction limit
% 2.72/1.25 % (2930764)Termination phase: Saturation
% 2.72/1.25 % (2930764)Time elapsed: 0.071 s
% 2.72/1.25 % (2930764)Peak memory usage: 89 MB
% 2.72/1.25 % (2930764)Instructions burned: 119 (million)
% 2.72/1.25 % (2930765)Instruction limit reached!
% 2.72/1.25 % (2930765)------------------------------
% 2.72/1.25 % (2930765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.25 % (2930765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.25 % (2930765)CaDiCaL version: 2.1.3
% 2.72/1.25 % (2930765)Termination reason: Instruction limit
% 2.72/1.25 % (2930765)Termination phase: Saturation
% 2.72/1.25 % (2930765)Time elapsed: 0.089 s
% 2.72/1.25 % (2930765)Peak memory usage: 89 MB
% 2.72/1.25 % (2930765)Instructions burned: 139 (million)
% 2.72/1.25 % (2930774)lrs+10_1_sil=8000:sp=occurrence:random_seed=2825898529:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.72/1.25 % (2930775)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2926571985:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.72/1.25 % (2930775)Refutation not found, incomplete strategy
% 2.72/1.25 % (2930775)------------------------------
% 2.72/1.25 % (2930775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.25 % (2930775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.25 % (2930775)CaDiCaL version: 2.1.3
% 2.72/1.25 % (2930775)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.25 % (2930775)Time elapsed: 0.002 s
% 2.72/1.25 % (2930775)Peak memory usage: 89 MB
% 2.72/1.25 % (2930775)Instructions burned: 1 (million)
% 2.72/1.25 % (2930763)------------------------------
% 2.72/1.25 % (2930763)------------------------------
% 2.72/1.25 % (2930766)Refutation found. Thanks to Tanya!
% 2.72/1.25 % SZS status Theorem for theBenchmark
% 2.72/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.35 % (2930766)------------------------------
% 3.47/1.35 % (2930766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.35 % (2930766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.35 % (2930766)CaDiCaL version: 2.1.3
% 3.47/1.35 % (2930766)Termination reason: Refutation
% 3.47/1.35 % (2930766)Time elapsed: 0.005 s
% 3.47/1.35 % (2930766)Peak memory usage: 89 MB
% 3.47/1.35 % (2930766)Instructions burned: 5 (million)
% 3.47/1.35 % (2930766)------------------------------
% 3.47/1.35 % (2930766)------------------------------
% 3.47/1.35 % (2930755)Success in time 0.417 s
% 3.47/1.35 % Vampire exiting
%------------------------------------------------------------------------------