%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET609+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 : n004.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 12:41:20 PM UTC 2026
% Result : Theorem 2.76s 1.27s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 105 ( 13 unt; 9 def)
% Number of atoms : 274 ( 15 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 295 ( 126 ~; 132 |; 23 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 87 ( 0 sgn 82 !; 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(f9,axiom,
! [X0,X1] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f10,conjecture,
! [X0,X1,X2] : difference(X0,difference(X1,X2)) = union(difference(X0,X1),intersection(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th81) ).
fof(f11,negated_conjecture,
~ ! [X0,X1,X2] : difference(X0,difference(X1,X2)) = union(difference(X0,X1),intersection(X0,X2)),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f13,plain,
? [X0,X1,X2] : difference(X0,difference(X1,X2)) != union(difference(X0,X1),intersection(X0,X2)),
inference(ennf_transformation,[],[f11]) ).
fof(f14,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(f15,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,[],[f14]) ).
fof(f16,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(f17,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,[],[f16]) ).
fof(f18,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(f19,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,[],[f18]) ).
fof(f25,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X2] :
( ( member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X1)
| ~ member(X2,X0) ) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f26,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(rectify,[],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( ( X0 = X1
| ( ( ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) )
& ( member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f26]) ).
fof(f28,plain,
difference(sK2,difference(sK3,sK4)) != union(difference(sK2,sK3),intersection(sK2,sK4)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f13]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f30,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f31,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f34,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f37,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f49,plain,
! [X0,X1] :
( X0 = X1
| member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f50,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f51,plain,
difference(sK2,difference(sK3,sK4)) != union(difference(sK2,sK3),intersection(sK2,sK4)),
inference(cnf_transformation,[],[f28]) ).
fof(f56,definition,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ5_eqProxy])],[equality_proxy_definition]) ).
fof(f60,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
| ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f50,f56]) ).
fof(f61,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
| member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f49,f56]) ).
fof(f62,plain,
~ sQ5_eqProxy(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),
inference(equality_proxy_replacement,[],[f51,f56]) ).
fof(f193,plain,
( ~ member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4)))
| ~ member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),difference(sK2,difference(sK3,sK4))) ),
inference(resolution,[],[f60,f62]) ).
fof(f203,definition,
( spl6_18
<=> member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),difference(sK2,difference(sK3,sK4))) ),
introduced(definition,[new_symbols(definition,[spl6_18])],[avatar_definition]) ).
fof(f204,plain,
( ~ member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),difference(sK2,difference(sK3,sK4)))
| spl6_18 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f206,definition,
( spl6_19
<=> member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4))) ),
introduced(definition,[new_symbols(definition,[spl6_19])],[avatar_definition]) ).
fof(f207,plain,
( ~ member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4)))
| spl6_19 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f208,plain,
( ~ spl6_18
| ~ spl6_19 ),
inference(avatar_split_clause,[],[f193,f206,f203]) ).
fof(f211,plain,
( ~ member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),difference(sK2,sK3))
| spl6_19 ),
inference(resolution,[],[f207,f31]) ).
fof(f212,plain,
( ~ member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),intersection(sK2,sK4))
| spl6_19 ),
inference(resolution,[],[f207,f30]) ).
fof(f226,definition,
( spl6_22
<=> member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK3) ),
introduced(definition,[new_symbols(definition,[spl6_22])],[avatar_definition]) ).
fof(f229,definition,
( spl6_23
<=> member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK2) ),
introduced(definition,[new_symbols(definition,[spl6_23])],[avatar_definition]) ).
fof(f230,plain,
( ~ member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK2)
| spl6_23 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f236,definition,
( spl6_24
<=> member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK4) ),
introduced(definition,[new_symbols(definition,[spl6_24])],[avatar_definition]) ).
fof(f384,plain,
( member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4)))
| member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),difference(sK2,difference(sK3,sK4))) ),
inference(resolution,[],[f61,f62]) ).
fof(f389,plain,
( member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),difference(sK2,difference(sK3,sK4)))
| ~ spl6_18 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f390,plain,
( member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4)))
| ~ spl6_19 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f391,plain,
( spl6_18
| spl6_19 ),
inference(avatar_split_clause,[],[f384,f206,f203]) ).
fof(f399,plain,
( member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK2)
| ~ spl6_18 ),
inference(resolution,[],[f389,f36]) ).
fof(f400,plain,
( ~ member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),difference(sK3,sK4))
| ~ spl6_18 ),
inference(resolution,[],[f389,f35]) ).
fof(f402,plain,
( $false
| ~ spl6_18
| spl6_23 ),
inference(resolution,[],[f399,f230]) ).
fof(f408,plain,
( ~ spl6_18
| spl6_23 ),
inference(avatar_contradiction_clause,[],[f402]) ).
fof(f421,definition,
( spl6_33
<=> member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),difference(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl6_33])],[avatar_definition]) ).
fof(f422,plain,
( member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),difference(sK2,sK3))
| ~ spl6_33 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f424,definition,
( spl6_34
<=> member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),intersection(sK2,sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_34])],[avatar_definition]) ).
fof(f425,plain,
( member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),intersection(sK2,sK4))
| ~ spl6_34 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f429,plain,
( member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK2)
| ~ spl6_34 ),
inference(resolution,[],[f425,f33]) ).
fof(f430,plain,
( member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK4)
| ~ spl6_34 ),
inference(resolution,[],[f425,f32]) ).
fof(f503,plain,
( $false
| spl6_23
| ~ spl6_34 ),
inference(resolution,[],[f429,f230]) ).
fof(f506,plain,
( spl6_23
| ~ spl6_34 ),
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f514,plain,
( member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK2)
| ~ spl6_33 ),
inference(resolution,[],[f422,f36]) ).
fof(f515,plain,
( ~ member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK3)
| ~ spl6_33 ),
inference(resolution,[],[f422,f35]) ).
fof(f528,plain,
( $false
| spl6_23
| ~ spl6_33 ),
inference(resolution,[],[f514,f230]) ).
fof(f531,plain,
( spl6_23
| ~ spl6_33 ),
inference(avatar_contradiction_clause,[],[f528]) ).
fof(f621,plain,
( ~ member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK2)
| member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK3)
| spl6_19 ),
inference(resolution,[],[f211,f37]) ).
fof(f625,plain,
( spl6_22
| ~ spl6_23
| spl6_19 ),
inference(avatar_split_clause,[],[f621,f206,f229,f226]) ).
fof(f627,plain,
( ~ member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK2)
| ~ member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK4)
| spl6_19 ),
inference(resolution,[],[f212,f34]) ).
fof(f631,plain,
( ~ spl6_24
| ~ spl6_23
| spl6_19 ),
inference(avatar_split_clause,[],[f627,f206,f229,f236]) ).
fof(f635,plain,
( ~ member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK3)
| member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK4)
| ~ spl6_18 ),
inference(resolution,[],[f400,f37]) ).
fof(f641,plain,
( spl6_24
| ~ spl6_22
| ~ spl6_18 ),
inference(avatar_split_clause,[],[f635,f203,f226,f236]) ).
fof(f642,plain,
( spl6_24
| ~ spl6_34 ),
inference(avatar_split_clause,[],[f430,f424,f236]) ).
fof(f644,plain,
( ~ spl6_22
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f515,f421,f226]) ).
fof(f653,plain,
( ~ member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK2)
| member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),difference(sK3,sK4))
| spl6_18 ),
inference(resolution,[],[f204,f37]) ).
fof(f658,definition,
( spl6_44
<=> member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),difference(sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_44])],[avatar_definition]) ).
fof(f659,plain,
( member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),difference(sK3,sK4))
| ~ spl6_44 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f660,plain,
( spl6_44
| ~ spl6_23
| spl6_18 ),
inference(avatar_split_clause,[],[f653,f203,f229,f658]) ).
fof(f669,plain,
( member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),intersection(sK2,sK4))
| member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),difference(sK2,sK3))
| ~ spl6_19 ),
inference(resolution,[],[f390,f29]) ).
fof(f670,plain,
( spl6_33
| spl6_34
| ~ spl6_19 ),
inference(avatar_split_clause,[],[f669,f206,f424,f421]) ).
fof(f679,plain,
( member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK3)
| ~ spl6_44 ),
inference(resolution,[],[f659,f36]) ).
fof(f680,plain,
( ~ member(sK1(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK4)
| ~ spl6_44 ),
inference(resolution,[],[f659,f35]) ).
fof(f681,plain,
( ~ spl6_24
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f680,f658,f236]) ).
fof(f682,plain,
( spl6_22
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f679,f658,f226]) ).
cnf(s16,plain,
( ~ spl6_18
| ~ spl6_19 ),
inference(sat_conversion,[],[f208]) ).
cnf(s29,plain,
( spl6_18
| spl6_19 ),
inference(sat_conversion,[],[f391]) ).
cnf(s30,plain,
( ~ spl6_18
| spl6_23 ),
inference(sat_conversion,[],[f408]) ).
cnf(s34,plain,
( spl6_23
| ~ spl6_34 ),
inference(sat_conversion,[],[f506]) ).
cnf(s36,plain,
( spl6_23
| ~ spl6_33 ),
inference(sat_conversion,[],[f531]) ).
cnf(s43,plain,
( spl6_19
| spl6_22
| ~ spl6_23 ),
inference(sat_conversion,[],[f625]) ).
cnf(s45,plain,
( spl6_19
| ~ spl6_23
| ~ spl6_24 ),
inference(sat_conversion,[],[f631]) ).
cnf(s46,plain,
( ~ spl6_18
| ~ spl6_22
| spl6_24 ),
inference(sat_conversion,[],[f641]) ).
cnf(s47,plain,
( spl6_24
| ~ spl6_34 ),
inference(sat_conversion,[],[f642]) ).
cnf(s49,plain,
( ~ spl6_22
| ~ spl6_33 ),
inference(sat_conversion,[],[f644]) ).
cnf(s51,plain,
( spl6_18
| ~ spl6_23
| spl6_44 ),
inference(sat_conversion,[],[f660]) ).
cnf(s52,plain,
( ~ spl6_19
| spl6_33
| spl6_34 ),
inference(sat_conversion,[],[f670]) ).
cnf(s54,plain,
( ~ spl6_24
| ~ spl6_44 ),
inference(sat_conversion,[],[f681]) ).
cnf(s55,plain,
( spl6_22
| ~ spl6_44 ),
inference(sat_conversion,[],[f682]) ).
cnf(s67,plain,
( spl6_23
| ~ spl6_19 ),
inference(rat,[],[s52,s34,s36]) ).
cnf(s68,plain,
spl6_18,
inference(rat,[],[s52,s47,s49,s54,s55,s51,s67,s29]) ).
cnf(s69,plain,
spl6_23,
inference(rat,[],[s30,s68]) ).
cnf(s70,plain,
~ spl6_19,
inference(rat,[],[s16,s68]) ).
cnf(s72,plain,
~ spl6_24,
inference(rat,[],[s45,s70,s69]) ).
cnf(s73,plain,
spl6_22,
inference(rat,[],[s43,s70,s69]) ).
cnf(s76,plain,
$false,
inference(rat,[],[s46,s68,s72,s73]) ).
fof(f683,plain,
$false,
inference(avatar_sat_refutation,[],[s76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET609+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n004.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 02:18:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 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
% 2.76/1.27 % (4084798)Detected formulas, will run a generic FOF schedule.
% 2.76/1.27 % (4084804)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=1750161974:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.76/1.27 % (4084805)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=2900455042:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.76/1.27 % (4084806)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2379495944:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.76/1.27 % (4084809)dis-21_1_sil=8000:lcm=predicate:random_seed=223797422: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)
% 2.76/1.27 % (4084803)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=1743014503:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.76/1.27 % (4084808)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=723162443:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.76/1.27 % (4084807)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2605599983:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.76/1.27 % (4084806)Refutation not found, incomplete strategy
% 2.76/1.27 % (4084806)------------------------------
% 2.76/1.27 % (4084806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.27 % (4084806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.27 % (4084806)CaDiCaL version: 2.1.3
% 2.76/1.27 % (4084806)Termination reason: Refutation not found, incomplete strategy
% 2.76/1.27 % (4084806)Time elapsed: 0.002 s
% 2.76/1.27 % (4084806)Peak memory usage: 88 MB
% 2.76/1.27 % (4084806)Instructions burned: 1 (million)
% 2.76/1.27 % (4084809)First to succeed.
% 2.76/1.27 % (4084809)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4084798"
% 2.76/1.27 % (4084807)Instruction limit reached!
% 2.76/1.27 % (4084807)------------------------------
% 2.76/1.27 % (4084807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.27 % (4084807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.27 % (4084807)CaDiCaL version: 2.1.3
% 2.76/1.27 % (4084807)Termination reason: Instruction limit
% 2.76/1.27 % (4084807)Termination phase: Saturation
% 2.76/1.27 % (4084807)Time elapsed: 0.073 s
% 2.76/1.27 % (4084807)Peak memory usage: 89 MB
% 2.76/1.27 % (4084807)Instructions burned: 120 (million)
% 2.76/1.27 % (4084808)Instruction limit reached!
% 2.76/1.27 % (4084808)------------------------------
% 2.76/1.27 % (4084808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.27 % (4084808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.27 % (4084808)CaDiCaL version: 2.1.3
% 2.76/1.27 % (4084808)Termination reason: Instruction limit
% 2.76/1.27 % (4084808)Termination phase: Saturation
% 2.76/1.27 % (4084808)Time elapsed: 0.079 s
% 2.76/1.27 % (4084808)Peak memory usage: 88 MB
% 2.76/1.27 % (4084808)Instructions burned: 139 (million)
% 2.76/1.27 % (4084806)------------------------------
% 2.76/1.27 % (4084806)------------------------------
% 2.76/1.27 % (4084817)lrs+10_1_sil=8000:sp=occurrence:random_seed=1751303228:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.76/1.27 % (4084818)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2613664154:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.76/1.27 % (4084818)Refutation not found, incomplete strategy
% 2.76/1.27 % (4084818)------------------------------
% 2.76/1.27 % (4084818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.27 % (4084818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.27 % (4084818)CaDiCaL version: 2.1.3
% 2.76/1.27 % (4084818)Termination reason: Refutation not found, incomplete strategy
% 2.76/1.27 % (4084818)Time elapsed: 0.002 s
% 2.76/1.27 % (4084818)Peak memory usage: 88 MB
% 2.76/1.27 % (4084818)Instructions burned: 2 (million)
% 2.76/1.27 % (4084809)Refutation found. Thanks to Tanya!
% 2.76/1.27 % SZS status Theorem for theBenchmark
% 2.76/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.66/1.46 % (4084809)------------------------------
% 3.66/1.46 % (4084809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.46 % (4084809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.46 % (4084809)CaDiCaL version: 2.1.3
% 3.66/1.46 % (4084809)Termination reason: Refutation
% 3.66/1.46 % (4084809)Time elapsed: 0.013 s
% 3.66/1.46 % (4084809)Peak memory usage: 89 MB
% 3.66/1.46 % (4084809)Instructions burned: 17 (million)
% 3.66/1.46 % (4084809)------------------------------
% 3.66/1.46 % (4084809)------------------------------
% 3.66/1.46 % (4084798)Success in time 0.436 s
% 3.66/1.46 % Vampire exiting
%------------------------------------------------------------------------------