%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET706+4 : 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 : n003.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 12:41:42 PM UTC 2026
% Result : Theorem 2.78s 1.29s
% Output : Refutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 105 ( 7 unt; 9 def)
% Number of atoms : 266 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 265 ( 104 ~; 118 |; 25 &)
% ( 14 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 84 ( 0 sgn 76 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set) ).
fof(f5,axiom,
! [X0,X1,X2] :
( member(X0,union(X1,X2))
<=> ( member(X0,X1)
| member(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f7,axiom,
! [X0,X1,X2] :
( member(X0,difference(X2,X1))
<=> ( member(X0,X2)
& ~ member(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference) ).
fof(f12,conjecture,
! [X0,X1,X2] :
( ( subset(X2,X1)
& subset(X1,X0) )
=> equal_set(difference(X0,X2),union(difference(X1,X2),difference(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI49) ).
fof(f13,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subset(X2,X1)
& subset(X1,X0) )
=> equal_set(difference(X0,X2),union(difference(X1,X2),difference(X0,X1))) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f15,plain,
? [X0,X1,X2] :
( ~ equal_set(difference(X0,X2),union(difference(X1,X2),difference(X0,X1)))
& subset(X2,X1)
& subset(X1,X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ~ equal_set(difference(X0,X2),union(difference(X1,X2),difference(X0,X1)))
& subset(X2,X1)
& subset(X1,X0) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f18,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f20,plain,
( ~ equal_set(difference(sK0,sK2),union(difference(sK1,sK2),difference(sK0,sK1)))
& subset(sK2,sK1)
& subset(sK1,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).
fof(f22,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,[],[f19]) ).
fof(f23,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,[],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f23]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) )
& ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) )
& ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) ) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) )
& ( ( member(X0,X2)
& ~ member(X0,X1) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) )
& ( ( member(X0,X2)
& ~ member(X0,X1) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
subset(sK1,sK0),
inference(cnf_transformation,[],[f20]) ).
fof(f30,plain,
subset(sK2,sK1),
inference(cnf_transformation,[],[f20]) ).
fof(f31,plain,
~ equal_set(difference(sK0,sK2),union(difference(sK1,sK2),difference(sK0,sK1))),
inference(cnf_transformation,[],[f20]) ).
fof(f34,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f35,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f36,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f37,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X1,X2))
| member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f39,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f40,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| member(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f43,plain,
! [X2,X0,X1] :
( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f49,plain,
( ~ subset(difference(sK0,sK2),union(difference(sK1,sK2),difference(sK0,sK1)))
| ~ subset(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)) ),
inference(resolution,[],[f34,f31]) ).
fof(f51,definition,
( spl4_1
<=> subset(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f52,plain,
( ~ subset(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2))
| spl4_1 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f54,definition,
( spl4_2
<=> subset(difference(sK0,sK2),union(difference(sK1,sK2),difference(sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f55,plain,
( ~ subset(difference(sK0,sK2),union(difference(sK1,sK2),difference(sK0,sK1)))
| spl4_2 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f56,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f49,f54,f51]) ).
fof(f60,plain,
! [X0] :
( member(X0,sK0)
| ~ member(X0,sK1) ),
inference(resolution,[],[f35,f29]) ).
fof(f61,plain,
! [X0] :
( ~ member(X0,sK2)
| member(X0,sK1) ),
inference(resolution,[],[f35,f30]) ).
fof(f69,definition,
( spl4_3
<=> member(sK3(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)),difference(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f70,plain,
( member(sK3(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)),difference(sK1,sK2))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,definition,
( spl4_4
<=> member(sK3(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)),difference(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f73,plain,
( member(sK3(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)),difference(sK0,sK1))
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,plain,
( ~ member(sK3(difference(sK0,sK2),union(difference(sK1,sK2),difference(sK0,sK1))),union(difference(sK1,sK2),difference(sK0,sK1)))
| spl4_2 ),
inference(resolution,[],[f55,f37]) ).
fof(f76,plain,
( member(sK3(difference(sK0,sK2),union(difference(sK1,sK2),difference(sK0,sK1))),difference(sK0,sK2))
| spl4_2 ),
inference(resolution,[],[f55,f36]) ).
fof(f78,plain,
( member(sK3(difference(sK0,sK2),union(difference(sK1,sK2),difference(sK0,sK1))),sK0)
| spl4_2 ),
inference(resolution,[],[f76,f42]) ).
fof(f79,plain,
( ~ member(sK3(difference(sK0,sK2),union(difference(sK1,sK2),difference(sK0,sK1))),sK2)
| spl4_2 ),
inference(resolution,[],[f76,f41]) ).
fof(f80,plain,
( ~ member(sK3(difference(sK0,sK2),union(difference(sK1,sK2),difference(sK0,sK1))),difference(sK1,sK2))
| spl4_2 ),
inference(resolution,[],[f75,f40]) ).
fof(f81,plain,
( ~ member(sK3(difference(sK0,sK2),union(difference(sK1,sK2),difference(sK0,sK1))),difference(sK0,sK1))
| spl4_2 ),
inference(resolution,[],[f75,f39]) ).
fof(f84,plain,
( ~ member(sK3(difference(sK0,sK2),union(difference(sK1,sK2),difference(sK0,sK1))),sK1)
| member(sK3(difference(sK0,sK2),union(difference(sK1,sK2),difference(sK0,sK1))),sK2)
| spl4_2 ),
inference(resolution,[],[f43,f80]) ).
fof(f85,plain,
( ~ member(sK3(difference(sK0,sK2),union(difference(sK1,sK2),difference(sK0,sK1))),sK0)
| member(sK3(difference(sK0,sK2),union(difference(sK1,sK2),difference(sK0,sK1))),sK1)
| spl4_2 ),
inference(resolution,[],[f43,f81]) ).
fof(f87,definition,
( spl4_5
<=> member(sK3(difference(sK0,sK2),union(difference(sK1,sK2),difference(sK0,sK1))),sK1) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f90,definition,
( spl4_6
<=> member(sK3(difference(sK0,sK2),union(difference(sK1,sK2),difference(sK0,sK1))),sK0) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f91,plain,
( ~ member(sK3(difference(sK0,sK2),union(difference(sK1,sK2),difference(sK0,sK1))),sK0)
| spl4_6 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f92,plain,
( spl4_5
| ~ spl4_6
| spl4_2 ),
inference(avatar_split_clause,[],[f85,f54,f90,f87]) ).
fof(f94,definition,
( spl4_7
<=> member(sK3(difference(sK0,sK2),union(difference(sK1,sK2),difference(sK0,sK1))),sK2) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f95,plain,
( member(sK3(difference(sK0,sK2),union(difference(sK1,sK2),difference(sK0,sK1))),sK2)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
( spl4_7
| ~ spl4_5
| spl4_2 ),
inference(avatar_split_clause,[],[f84,f54,f87,f94]) ).
fof(f98,plain,
( $false
| spl4_2
| spl4_6 ),
inference(resolution,[],[f91,f78]) ).
fof(f100,plain,
( spl4_2
| spl4_6 ),
inference(avatar_contradiction_clause,[],[f98]) ).
fof(f102,plain,
( $false
| spl4_2
| ~ spl4_7 ),
inference(resolution,[],[f95,f79]) ).
fof(f103,plain,
( spl4_2
| ~ spl4_7 ),
inference(avatar_contradiction_clause,[],[f102]) ).
fof(f104,plain,
( ~ member(sK3(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)),difference(sK0,sK2))
| spl4_1 ),
inference(resolution,[],[f52,f37]) ).
fof(f105,plain,
( member(sK3(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)),union(difference(sK1,sK2),difference(sK0,sK1)))
| spl4_1 ),
inference(resolution,[],[f52,f36]) ).
fof(f107,plain,
( ~ member(sK3(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)),sK0)
| member(sK3(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)),sK2)
| spl4_1 ),
inference(resolution,[],[f104,f43]) ).
fof(f109,definition,
( spl4_8
<=> member(sK3(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)),sK2) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f110,plain,
( member(sK3(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)),sK2)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,definition,
( spl4_9
<=> member(sK3(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)),sK0) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f113,plain,
( ~ member(sK3(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)),sK0)
| spl4_9 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f114,plain,
( spl4_8
| ~ spl4_9
| spl4_1 ),
inference(avatar_split_clause,[],[f107,f51,f112,f109]) ).
fof(f115,plain,
( ~ member(sK3(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)),sK1)
| spl4_9 ),
inference(resolution,[],[f113,f60]) ).
fof(f116,plain,
( member(sK3(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)),difference(sK0,sK1))
| member(sK3(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)),difference(sK1,sK2))
| spl4_1 ),
inference(resolution,[],[f105,f38]) ).
fof(f117,plain,
( spl4_3
| spl4_4
| spl4_1 ),
inference(avatar_split_clause,[],[f116,f51,f72,f69]) ).
fof(f118,plain,
( member(sK3(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)),sK1)
| ~ spl4_3 ),
inference(resolution,[],[f70,f42]) ).
fof(f119,plain,
( ~ member(sK3(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)),sK2)
| ~ spl4_3 ),
inference(resolution,[],[f70,f41]) ).
fof(f120,plain,
( $false
| ~ spl4_3
| spl4_9 ),
inference(resolution,[],[f118,f115]) ).
fof(f121,plain,
( ~ spl4_3
| spl4_9 ),
inference(avatar_contradiction_clause,[],[f120]) ).
fof(f122,plain,
( member(sK3(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)),sK1)
| ~ spl4_8 ),
inference(resolution,[],[f110,f61]) ).
fof(f123,plain,
( $false
| ~ spl4_3
| ~ spl4_8 ),
inference(resolution,[],[f119,f110]) ).
fof(f124,plain,
( ~ spl4_3
| ~ spl4_8 ),
inference(avatar_contradiction_clause,[],[f123]) ).
fof(f125,plain,
( member(sK3(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)),sK0)
| ~ spl4_4 ),
inference(resolution,[],[f73,f42]) ).
fof(f126,plain,
( ~ member(sK3(union(difference(sK1,sK2),difference(sK0,sK1)),difference(sK0,sK2)),sK1)
| ~ spl4_4 ),
inference(resolution,[],[f73,f41]) ).
fof(f127,plain,
( $false
| ~ spl4_4
| ~ spl4_8 ),
inference(resolution,[],[f126,f122]) ).
fof(f128,plain,
( ~ spl4_4
| ~ spl4_8 ),
inference(avatar_contradiction_clause,[],[f127]) ).
fof(f129,plain,
( $false
| ~ spl4_4
| spl4_9 ),
inference(resolution,[],[f113,f125]) ).
fof(f131,plain,
( ~ spl4_4
| spl4_9 ),
inference(avatar_contradiction_clause,[],[f129]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f56]) ).
cnf(s3,plain,
( spl4_2
| spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f92]) ).
cnf(s4,plain,
( spl4_2
| ~ spl4_5
| spl4_7 ),
inference(sat_conversion,[],[f97]) ).
cnf(s5,plain,
( spl4_2
| spl4_6 ),
inference(sat_conversion,[],[f100]) ).
cnf(s7,plain,
( spl4_2
| ~ spl4_7 ),
inference(sat_conversion,[],[f103]) ).
cnf(s8,plain,
( spl4_1
| spl4_8
| ~ spl4_9 ),
inference(sat_conversion,[],[f114]) ).
cnf(s9,plain,
( spl4_1
| spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f117]) ).
cnf(s10,plain,
( ~ spl4_3
| spl4_9 ),
inference(sat_conversion,[],[f121]) ).
cnf(s11,plain,
( ~ spl4_3
| ~ spl4_8 ),
inference(sat_conversion,[],[f124]) ).
cnf(s12,plain,
( ~ spl4_4
| ~ spl4_8 ),
inference(sat_conversion,[],[f128]) ).
cnf(s13,plain,
( ~ spl4_4
| spl4_9 ),
inference(sat_conversion,[],[f131]) ).
cnf(s14,plain,
spl4_2,
inference(rat,[],[s3,s4,s5,s7]) ).
cnf(s15,plain,
( ~ spl4_4
| spl4_1 ),
inference(rat,[],[s8,s12,s13]) ).
cnf(s16,plain,
( spl4_4
| spl4_1 ),
inference(rat,[],[s8,s10,s11,s9]) ).
cnf(s17,plain,
spl4_1,
inference(rat,[],[s16,s15]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s1,s14,s17]) ).
fof(f132,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET706+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n003.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 28 02:36:26 UTC 2026
% 0.15/0.36 % CPUTime :
% 0.15/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.39 Running first-order theorem proving
% 0.15/0.39 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
% 2.78/1.29 % (1132349)Detected formulas, will run a generic FOF schedule.
% 2.78/1.29 % (1132358)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1966576533:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.78/1.29 % (1132358)Instruction limit reached!
% 2.78/1.29 % (1132358)------------------------------
% 2.78/1.29 % (1132358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.29 % (1132358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.29 % (1132358)CaDiCaL version: 2.1.3
% 2.78/1.29 % (1132358)Termination reason: Instruction limit
% 2.78/1.29 % (1132358)Termination phase: Saturation
% 2.78/1.29 % (1132358)Time elapsed: 0.039 s
% 2.78/1.29 % (1132358)Peak memory usage: 88 MB
% 2.78/1.29 % (1132356)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=1282119582:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.78/1.29 % (1132357)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=604201232:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.78/1.29 % (1132355)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=2992675279:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.78/1.29 % (1132358)Instructions burned: 120 (million)
% 2.78/1.29 % (1132354)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=1217777715:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.78/1.29 % (1132357)Refutation not found, incomplete strategy
% 2.78/1.29 % (1132357)------------------------------
% 2.78/1.29 % (1132357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.29 % (1132357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.29 % (1132357)CaDiCaL version: 2.1.3
% 2.78/1.29 % (1132357)Termination reason: Refutation not found, incomplete strategy
% 2.78/1.29 % (1132357)Time elapsed: 0.002 s
% 2.78/1.29 % (1132357)Peak memory usage: 88 MB
% 2.78/1.29 % (1132357)Instructions burned: 1 (million)
% 2.78/1.29 % (1132360)dis-21_1_sil=8000:lcm=predicate:random_seed=2233486954: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)
% 2.78/1.29 % (1132360)First to succeed.
% 2.78/1.29 % (1132360)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1132349"
% 2.78/1.29 % (1132359)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=253079042:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.78/1.29 % (1132359)Also succeeded, but the first one will report.
% 2.78/1.29 % (1132366)lrs+10_1_sil=8000:sp=occurrence:random_seed=2000990086:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.78/1.29 % (1132366)Instruction limit reached!
% 2.78/1.29 % (1132366)------------------------------
% 2.78/1.29 % (1132366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.29 % (1132366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.29 % (1132366)CaDiCaL version: 2.1.3
% 2.78/1.29 % (1132366)Termination reason: Instruction limit
% 2.78/1.29 % (1132366)Termination phase: Saturation
% 2.78/1.29 % (1132366)Time elapsed: 0.093 s
% 2.78/1.29 % (1132366)Peak memory usage: 92 MB
% 2.78/1.29 % (1132366)Instructions burned: 289 (million)
% 2.78/1.29 % (1132357)------------------------------
% 2.78/1.29 % (1132357)------------------------------
% 2.78/1.29 % (1132360)Refutation found. Thanks to Tanya!
% 2.78/1.29 % SZS status Theorem for theBenchmark
% 2.78/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.70/1.49 % (1132360)------------------------------
% 3.70/1.49 % (1132360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.49 % (1132360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.49 % (1132360)CaDiCaL version: 2.1.3
% 3.70/1.49 % (1132360)Termination reason: Refutation
% 3.70/1.49 % (1132360)Time elapsed: 0.005 s
% 3.70/1.49 % (1132360)Peak memory usage: 89 MB
% 3.70/1.49 % (1132360)Instructions burned: 4 (million)
% 3.70/1.49 % (1132360)------------------------------
% 3.70/1.49 % (1132360)------------------------------
% 3.70/1.49 % (1132349)Success in time 0.449 s
% 3.70/1.49 % Vampire exiting
%------------------------------------------------------------------------------