%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU291+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:48:11 PM UTC 2026
% Result : Theorem 1.18s 1.04s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 111 ( 18 unt; 9 def)
% Number of atoms : 347 ( 80 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 391 ( 155 ~; 173 |; 35 &)
% ( 16 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 10 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 94 ( 0 sgn 86 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( ( ( X1 = empty_set
=> X0 = empty_set )
=> ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) ) )
& ( X1 = empty_set
=> ( X0 = empty_set
| ( quasi_total(X2,X0,X1)
<=> X2 = empty_set ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_2) ).
fof(f39,axiom,
! [X0,X1,X2] :
( relation_of2(X2,X0,X1)
=> relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f40,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_relset_1) ).
fof(f46,axiom,
! [X0] :
( subset(X0,empty_set)
=> X0 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(f52,conjecture,
! [X0,X1,X2,X3] :
( ( function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) )
=> ( subset(X1,X2)
=> ( ( X1 = empty_set
& X0 != empty_set )
| ( function(X3)
& quasi_total(X3,X0,X2)
& relation_of2_as_subset(X3,X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_funct_2) ).
fof(f53,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) )
=> ( subset(X1,X2)
=> ( ( X1 = empty_set
& X0 != empty_set )
| ( function(X3)
& quasi_total(X3,X0,X2)
& relation_of2_as_subset(X3,X0,X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ( ( ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) )
| ( empty_set != X0
& X1 = empty_set ) )
& ( X0 = empty_set
| ( quasi_total(X2,X0,X1)
<=> X2 = empty_set )
| empty_set != X1 ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( ( ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) )
| ( empty_set != X0
& X1 = empty_set ) )
& ( X0 = empty_set
| ( quasi_total(X2,X0,X1)
<=> X2 = empty_set )
| empty_set != X1 ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(flattening,[],[f67]) ).
fof(f77,plain,
! [X0,X1,X2] :
( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
| ~ relation_of2(X2,X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X1)
| ~ subset(X0,X1)
| ~ relation_of2_as_subset(X3,X2,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X1)
| ~ subset(X0,X1)
| ~ relation_of2_as_subset(X3,X2,X0) ),
inference(flattening,[],[f78]) ).
fof(f83,plain,
! [X0] :
( X0 = empty_set
| ~ subset(X0,empty_set) ),
inference(ennf_transformation,[],[f46]) ).
fof(f90,plain,
? [X0,X1,X2,X3] :
( ( empty_set != X1
| empty_set = X0 )
& ( ~ function(X3)
| ~ quasi_total(X3,X0,X2)
| ~ relation_of2_as_subset(X3,X0,X2) )
& subset(X1,X2)
& function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f91,plain,
? [X0,X1,X2,X3] :
( ( empty_set != X1
| empty_set = X0 )
& ( ~ function(X3)
| ~ quasi_total(X3,X0,X2)
| ~ relation_of2_as_subset(X3,X0,X2) )
& subset(X1,X2)
& function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( ( ( ( quasi_total(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) != X0 )
& ( X0 = relation_dom_as_subset(X0,X1,X2)
| ~ quasi_total(X2,X0,X1) ) )
| ( empty_set != X0
& X1 = empty_set ) )
& ( X0 = empty_set
| ( ( quasi_total(X2,X0,X1)
| empty_set != X2 )
& ( X2 = empty_set
| ~ quasi_total(X2,X0,X1) ) )
| empty_set != X1 ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(nnf_transformation,[],[f68]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f112,plain,
( ( empty_set != sK18
| empty_set = sK17 )
& ( ~ function(sK20)
| ~ quasi_total(sK20,sK17,sK19)
| ~ relation_of2_as_subset(sK20,sK17,sK19) )
& subset(sK18,sK19)
& function(sK20)
& quasi_total(sK20,sK17,sK18)
& relation_of2_as_subset(sK20,sK17,sK18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20]),skolemize(X0,sK17),skolemize(X1,sK18),skolemize(X2,sK19),skolemize(X3,sK20)],[f91]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ quasi_total(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = X0
| empty_set = X1
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f122,plain,
! [X2,X0,X1] :
( relation_dom_as_subset(X0,X1,X2) = X0
| ~ quasi_total(X2,X0,X1)
| empty_set != X0
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f123,plain,
! [X2,X0,X1] :
( relation_dom_as_subset(X0,X1,X2) != X0
| quasi_total(X2,X0,X1)
| empty_set = X1
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f170,plain,
! [X2,X0,X1] :
( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
| ~ relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f171,plain,
! [X2,X0,X1] :
( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f172,plain,
! [X2,X0,X1] :
( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f174,plain,
! [X2,X3,X0,X1] :
( relation_of2_as_subset(X3,X2,X1)
| ~ subset(X0,X1)
| ~ relation_of2_as_subset(X3,X2,X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f179,plain,
! [X0] :
( ~ subset(X0,empty_set)
| empty_set = X0 ),
inference(cnf_transformation,[],[f83]) ).
fof(f185,plain,
relation_of2_as_subset(sK20,sK17,sK18),
inference(cnf_transformation,[],[f112]) ).
fof(f186,plain,
quasi_total(sK20,sK17,sK18),
inference(cnf_transformation,[],[f112]) ).
fof(f187,plain,
function(sK20),
inference(cnf_transformation,[],[f112]) ).
fof(f188,plain,
subset(sK18,sK19),
inference(cnf_transformation,[],[f112]) ).
fof(f189,plain,
( ~ function(sK20)
| ~ quasi_total(sK20,sK17,sK19)
| ~ relation_of2_as_subset(sK20,sK17,sK19) ),
inference(cnf_transformation,[],[f112]) ).
fof(f190,plain,
( empty_set != sK18
| empty_set = sK17 ),
inference(cnf_transformation,[],[f112]) ).
fof(f192,plain,
! [X2,X1] :
( empty_set = relation_dom_as_subset(empty_set,X1,X2)
| ~ quasi_total(X2,empty_set,X1)
| ~ relation_of2_as_subset(X2,empty_set,X1) ),
inference(equality_resolution,[],[f122]) ).
fof(f197,definition,
( spl21_1
<=> relation_of2_as_subset(sK20,sK17,sK19) ),
introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).
fof(f198,plain,
( relation_of2_as_subset(sK20,sK17,sK19)
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f199,plain,
( ~ relation_of2_as_subset(sK20,sK17,sK19)
| spl21_1 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl21_2
<=> quasi_total(sK20,sK17,sK19) ),
introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).
fof(f203,plain,
( ~ quasi_total(sK20,sK17,sK19)
| spl21_2 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,definition,
( spl21_3
<=> function(sK20) ),
introduced(definition,[new_symbols(definition,[spl21_3])],[avatar_definition]) ).
fof(f208,plain,
( ~ spl21_1
| ~ spl21_2
| ~ spl21_3 ),
inference(avatar_split_clause,[],[f189,f205,f201,f197]) ).
fof(f210,definition,
( spl21_4
<=> empty_set = sK17 ),
introduced(definition,[new_symbols(definition,[spl21_4])],[avatar_definition]) ).
fof(f212,plain,
( empty_set = sK17
| ~ spl21_4 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f214,definition,
( spl21_5
<=> empty_set = sK18 ),
introduced(definition,[new_symbols(definition,[spl21_5])],[avatar_definition]) ).
fof(f215,plain,
( empty_set = sK18
| ~ spl21_5 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f216,plain,
( empty_set != sK18
| spl21_5 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f217,plain,
( spl21_4
| ~ spl21_5 ),
inference(avatar_split_clause,[],[f190,f214,f210]) ).
fof(f218,plain,
spl21_3,
inference(avatar_split_clause,[],[f187,f205]) ).
fof(f254,plain,
( ! [X0] :
( ~ subset(X0,sK19)
| ~ relation_of2_as_subset(sK20,sK17,X0) )
| spl21_1 ),
inference(resolution,[],[f174,f199]) ).
fof(f255,plain,
( ~ relation_of2_as_subset(sK20,sK17,sK18)
| spl21_1 ),
inference(resolution,[],[f254,f188]) ).
fof(f257,plain,
( $false
| spl21_1 ),
inference(forward_subsumption_resolution,[],[f255,f185]) ).
fof(f258,plain,
spl21_1,
inference(avatar_contradiction_clause,[],[f257]) ).
fof(f261,plain,
! [X0,X1] :
( empty_set = relation_dom(X1)
| ~ relation_of2(X1,empty_set,X0)
| ~ quasi_total(X1,empty_set,X0)
| ~ relation_of2_as_subset(X1,empty_set,X0) ),
inference(superposition,[],[f170,f192]) ).
fof(f262,plain,
! [X0,X1] :
( ~ quasi_total(X1,empty_set,X0)
| empty_set = relation_dom(X1)
| ~ relation_of2_as_subset(X1,empty_set,X0) ),
inference(forward_subsumption_resolution,[],[f261,f171]) ).
fof(f274,plain,
( sK17 = relation_dom_as_subset(sK17,sK18,sK20)
| empty_set = sK18
| ~ relation_of2_as_subset(sK20,sK17,sK18) ),
inference(resolution,[],[f121,f186]) ).
fof(f277,plain,
( sK17 = relation_dom_as_subset(sK17,sK18,sK20)
| ~ relation_of2_as_subset(sK20,sK17,sK18)
| spl21_5 ),
inference(forward_subsumption_resolution,[],[f274,f216]) ).
fof(f278,plain,
( sK17 = relation_dom_as_subset(sK17,sK18,sK20)
| spl21_5 ),
inference(forward_subsumption_resolution,[],[f277,f185]) ).
fof(f279,plain,
( sK17 = relation_dom(sK20)
| ~ relation_of2(sK20,sK17,sK18)
| spl21_5 ),
inference(superposition,[],[f278,f170]) ).
fof(f282,definition,
( spl21_6
<=> relation_of2(sK20,sK17,sK18) ),
introduced(definition,[new_symbols(definition,[spl21_6])],[avatar_definition]) ).
fof(f284,plain,
( ~ relation_of2(sK20,sK17,sK18)
| spl21_6 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f286,definition,
( spl21_7
<=> sK17 = relation_dom(sK20) ),
introduced(definition,[new_symbols(definition,[spl21_7])],[avatar_definition]) ).
fof(f287,plain,
( sK17 != relation_dom(sK20)
| spl21_7 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f288,plain,
( sK17 = relation_dom(sK20)
| ~ spl21_7 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f290,plain,
( ~ spl21_6
| spl21_7
| spl21_5 ),
inference(avatar_split_clause,[],[f279,f214,f286,f282]) ).
fof(f291,plain,
! [X2,X0,X1] :
( relation_dom(X0) != X1
| quasi_total(X0,X1,X2)
| empty_set = X2
| ~ relation_of2_as_subset(X0,X1,X2)
| ~ relation_of2(X0,X1,X2) ),
inference(superposition,[],[f123,f170]) ).
fof(f296,plain,
! [X2,X0,X1] :
( relation_dom(X0) != X1
| quasi_total(X0,X1,X2)
| empty_set = X2
| ~ relation_of2(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f291,f172]) ).
fof(f297,plain,
( ~ relation_of2_as_subset(sK20,sK17,sK18)
| spl21_6 ),
inference(resolution,[],[f284,f171]) ).
fof(f298,plain,
( $false
| spl21_6 ),
inference(forward_subsumption_resolution,[],[f297,f185]) ).
fof(f299,plain,
spl21_6,
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f374,plain,
( ! [X0,X1] :
( sK17 != X0
| quasi_total(sK20,X0,X1)
| empty_set = X1
| ~ relation_of2(sK20,X0,X1) )
| ~ spl21_7 ),
inference(superposition,[],[f296,f288]) ).
fof(f378,plain,
( ! [X0] :
( ~ relation_of2(sK20,sK17,X0)
| empty_set = X0
| quasi_total(sK20,sK17,X0) )
| ~ spl21_7 ),
inference(equality_resolution,[],[f374]) ).
fof(f383,plain,
( ! [X0] :
( quasi_total(sK20,sK17,X0)
| empty_set = X0
| ~ relation_of2_as_subset(sK20,sK17,X0) )
| ~ spl21_7 ),
inference(resolution,[],[f378,f171]) ).
fof(f397,plain,
( empty_set = sK19
| ~ relation_of2_as_subset(sK20,sK17,sK19)
| spl21_2
| ~ spl21_7 ),
inference(resolution,[],[f383,f203]) ).
fof(f402,plain,
( empty_set = sK19
| ~ spl21_1
| spl21_2
| ~ spl21_7 ),
inference(forward_subsumption_resolution,[],[f397,f198]) ).
fof(f409,plain,
( subset(sK18,empty_set)
| ~ spl21_1
| spl21_2
| ~ spl21_7 ),
inference(superposition,[],[f188,f402]) ).
fof(f414,plain,
( empty_set = sK18
| ~ spl21_1
| spl21_2
| ~ spl21_7 ),
inference(resolution,[],[f409,f179]) ).
fof(f418,plain,
( spl21_5
| ~ spl21_1
| spl21_2
| ~ spl21_7 ),
inference(avatar_split_clause,[],[f414,f286,f201,f197,f214]) ).
fof(f427,plain,
( ~ quasi_total(sK20,empty_set,sK19)
| spl21_2
| ~ spl21_4 ),
inference(superposition,[],[f203,f212]) ).
fof(f435,plain,
( ~ quasi_total(sK20,empty_set,empty_set)
| ~ spl21_1
| spl21_2
| ~ spl21_4
| ~ spl21_7 ),
inference(forward_demodulation,[],[f427,f402]) ).
fof(f440,plain,
( relation_of2_as_subset(sK20,sK17,empty_set)
| ~ spl21_5 ),
inference(superposition,[],[f185,f215]) ).
fof(f441,plain,
( quasi_total(sK20,sK17,empty_set)
| ~ spl21_5 ),
inference(superposition,[],[f186,f215]) ).
fof(f446,plain,
( quasi_total(sK20,empty_set,empty_set)
| ~ spl21_4
| ~ spl21_5 ),
inference(forward_demodulation,[],[f441,f212]) ).
fof(f447,plain,
( relation_of2_as_subset(sK20,empty_set,empty_set)
| ~ spl21_4
| ~ spl21_5 ),
inference(forward_demodulation,[],[f440,f212]) ).
fof(f452,definition,
( spl21_13
<=> relation_of2_as_subset(sK20,empty_set,empty_set) ),
introduced(definition,[new_symbols(definition,[spl21_13])],[avatar_definition]) ).
fof(f461,plain,
( $false
| ~ spl21_1
| spl21_2
| ~ spl21_4
| ~ spl21_5
| ~ spl21_7 ),
inference(forward_subsumption_resolution,[],[f446,f435]) ).
fof(f462,plain,
( ~ spl21_1
| spl21_2
| ~ spl21_4
| ~ spl21_5
| ~ spl21_7 ),
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f463,plain,
( empty_set != relation_dom(sK20)
| ~ spl21_4
| spl21_7 ),
inference(forward_demodulation,[],[f287,f212]) ).
fof(f467,plain,
( empty_set = relation_dom(sK20)
| ~ relation_of2_as_subset(sK20,empty_set,empty_set)
| ~ spl21_4
| ~ spl21_5 ),
inference(resolution,[],[f446,f262]) ).
fof(f471,definition,
( spl21_15
<=> empty_set = relation_dom(sK20) ),
introduced(definition,[new_symbols(definition,[spl21_15])],[avatar_definition]) ).
fof(f474,plain,
( ~ spl21_13
| spl21_15
| ~ spl21_4
| ~ spl21_5 ),
inference(avatar_split_clause,[],[f467,f214,f210,f471,f452]) ).
fof(f480,plain,
( spl21_13
| ~ spl21_4
| ~ spl21_5 ),
inference(avatar_split_clause,[],[f447,f214,f210,f452]) ).
fof(f481,plain,
( ~ spl21_15
| ~ spl21_4
| spl21_7 ),
inference(avatar_split_clause,[],[f463,f286,f210,f471]) ).
cnf(s1,plain,
( ~ spl21_1
| ~ spl21_2
| ~ spl21_3 ),
inference(sat_conversion,[],[f208]) ).
cnf(s2,plain,
( spl21_4
| ~ spl21_5 ),
inference(sat_conversion,[],[f217]) ).
cnf(s3,plain,
spl21_3,
inference(sat_conversion,[],[f218]) ).
cnf(s4,plain,
spl21_1,
inference(sat_conversion,[],[f258]) ).
cnf(s6,plain,
( spl21_5
| ~ spl21_6
| spl21_7 ),
inference(sat_conversion,[],[f290]) ).
cnf(s7,plain,
spl21_6,
inference(sat_conversion,[],[f299]) ).
cnf(s12,plain,
( ~ spl21_1
| spl21_2
| spl21_5
| ~ spl21_7 ),
inference(sat_conversion,[],[f418]) ).
cnf(s17,plain,
( ~ spl21_1
| spl21_2
| ~ spl21_4
| ~ spl21_5
| ~ spl21_7 ),
inference(sat_conversion,[],[f462]) ).
cnf(s18,plain,
( ~ spl21_4
| ~ spl21_5
| ~ spl21_13
| spl21_15 ),
inference(sat_conversion,[],[f474]) ).
cnf(s20,plain,
( ~ spl21_4
| ~ spl21_5
| spl21_13 ),
inference(sat_conversion,[],[f480]) ).
cnf(s22,plain,
( ~ spl21_4
| spl21_7
| ~ spl21_15 ),
inference(sat_conversion,[],[f481]) ).
cnf(s23,plain,
( spl21_5
| spl21_7 ),
inference(rat,[],[s6,s7]) ).
cnf(s25,plain,
~ spl21_2,
inference(rat,[],[s1,s3,s4]) ).
cnf(s26,plain,
spl21_5,
inference(rat,[],[s12,s23,s4,s25]) ).
cnf(s27,plain,
spl21_4,
inference(rat,[],[s2,s26]) ).
cnf(s29,plain,
spl21_13,
inference(rat,[],[s20,s26,s27]) ).
cnf(s30,plain,
~ spl21_7,
inference(rat,[],[s17,s26,s25,s4,s27]) ).
cnf(s31,plain,
spl21_15,
inference(rat,[],[s18,s26,s27,s29]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s22,s27,s31,s30]) ).
fof(f482,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU291+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n018.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 04:34:09 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 1.18/1.04 % (2990547)Detected formulas, will run a generic FOF schedule.
% 1.18/1.04 % (2990557)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1396900925:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.18/1.04 % (2990554)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=2570250289:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.18/1.04 % (2990558)dis-21_1_sil=8000:lcm=predicate:random_seed=3641748417: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)
% 1.18/1.04 % (2990553)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=3933041578:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.18/1.04 % (2990555)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1001743927:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.18/1.04 % (2990556)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3770854095:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.18/1.04 % (2990552)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=1365916572:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.18/1.04 % (2990557)First to succeed.
% 1.18/1.04 % (2990557)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2990547"
% 1.18/1.04 % (2990555)Instruction limit reached!
% 1.18/1.04 % (2990555)------------------------------
% 1.18/1.04 % (2990555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.18/1.04 % (2990555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/1.04 % (2990555)CaDiCaL version: 2.1.3
% 1.18/1.04 % (2990555)Termination reason: Instruction limit
% 1.18/1.04 % (2990555)Termination phase: Saturation
% 1.18/1.04 % (2990555)Time elapsed: 0.042 s
% 1.18/1.04 % (2990555)Peak memory usage: 88 MB
% 1.18/1.04 % (2990555)Instructions burned: 109 (million)
% 1.18/1.04 % (2990556)Also succeeded, but the first one will report.
% 1.18/1.04 % (2990558)Instruction limit reached!
% 1.18/1.04 % (2990558)------------------------------
% 1.18/1.04 % (2990558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.18/1.04 % (2990558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/1.04 % (2990558)CaDiCaL version: 2.1.3
% 1.18/1.04 % (2990558)Termination reason: Instruction limit
% 1.18/1.04 % (2990558)Termination phase: Saturation
% 1.18/1.04 % (2990558)Time elapsed: 0.078 s
% 1.18/1.04 % (2990558)Peak memory usage: 90 MB
% 1.18/1.04 % (2990558)Instructions burned: 130 (million)
% 1.18/1.04 % (2990566)lrs+10_1_sil=8000:sp=occurrence:random_seed=1762027106:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.18/1.04 % (2990566)Also succeeded, but the first one will report.
% 1.18/1.04 % (2990567)lrs+10_1_sil=32000:urr=on:br=off:random_seed=458244265:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 1.18/1.04 % (2990557)Refutation found. Thanks to Tanya!
% 1.18/1.04 % SZS status Theorem for theBenchmark
% 1.18/1.04 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.13 % (2990557)------------------------------
% 0.17/1.13 % (2990557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.13 % (2990557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.13 % (2990557)CaDiCaL version: 2.1.3
% 0.17/1.13 % (2990557)Termination reason: Refutation
% 0.17/1.13 % (2990557)Time elapsed: 0.012 s
% 0.17/1.13 % (2990557)Peak memory usage: 90 MB
% 0.17/1.13 % (2990557)Instructions burned: 14 (million)
% 0.17/1.13 % (2990557)------------------------------
% 0.17/1.13 % (2990557)------------------------------
% 0.17/1.13 % (2990547)Success in time 0.418 s
% 0.17/1.13 % Vampire exiting
%------------------------------------------------------------------------------