%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU375+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 12:53:03 PM UTC 2026
% Result : Theorem 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 12
% Syntax : Number of formulae : 98 ( 25 unt; 4 def)
% Number of atoms : 399 ( 19 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 528 ( 227 ~; 217 |; 45 &)
% ( 6 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 5 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 131 ( 0 sgn 117 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> ( full_subnetstr(X2,X0,X1)
<=> ( full_subrelstr(X2,X1)
& subrelstr(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_yellow_6) ).
fof(f9,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f11,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
fof(f14,axiom,
! [X0,X1] :
( ( one_sorted_str(X0)
& net_str(X1,X0) )
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> net_str(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_6) ).
fof(f23,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f35,conjecture,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( ( ~ empty_carrier(X1)
& net_str(X1,X0) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& full_subnetstr(X2,X0,X1)
& subnetstr(X2,X0,X1) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( X3 = X5
& X4 = X6
& related(X1,X3,X4) )
=> related(X2,X5,X6) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_yellow_6) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( ( ~ empty_carrier(X1)
& net_str(X1,X0) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& full_subnetstr(X2,X0,X1)
& subnetstr(X2,X0,X1) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( X3 = X5
& X4 = X6
& related(X1,X3,X4) )
=> related(X2,X5,X6) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f37,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f38,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( ( full_subrelstr(X1,X0)
& subrelstr(X1,X0) )
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X1))
=> ( ( X4 = X2
& X5 = X3
& related(X0,X2,X3)
& in(X4,the_carrier(X1))
& in(X5,the_carrier(X1)) )
=> related(X1,X4,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t61_yellow_0) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( full_subnetstr(X2,X0,X1)
<=> ( full_subrelstr(X2,X1)
& subrelstr(X2,X1) ) )
| ~ subnetstr(X2,X0,X1) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f56,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f59,plain,
! [X0,X1] :
( ! [X2] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1) )
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f60,plain,
! [X0,X1] :
( ! [X2] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1) )
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(flattening,[],[f59]) ).
fof(f65,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f66,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f65]) ).
fof(f68,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& X3 = X5
& X4 = X6
& related(X1,X3,X4)
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
& ~ empty_carrier(X2)
& full_subnetstr(X2,X0,X1)
& subnetstr(X2,X0,X1) )
& ~ empty_carrier(X1)
& net_str(X1,X0) )
& one_sorted_str(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f69,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& X3 = X5
& X4 = X6
& related(X1,X3,X4)
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
& ~ empty_carrier(X2)
& full_subnetstr(X2,X0,X1)
& subnetstr(X2,X0,X1) )
& ~ empty_carrier(X1)
& net_str(X1,X0) )
& one_sorted_str(X0) ),
inference(flattening,[],[f68]) ).
fof(f70,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f71,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( related(X1,X4,X5)
| X2 != X4
| X3 != X5
| ~ related(X0,X2,X3)
| ~ in(X4,the_carrier(X1))
| ~ in(X5,the_carrier(X1))
| ~ element(X5,the_carrier(X1)) )
| ~ element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ full_subrelstr(X1,X0)
| ~ subrelstr(X1,X0) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( related(X1,X4,X5)
| X2 != X4
| X3 != X5
| ~ related(X0,X2,X3)
| ~ in(X4,the_carrier(X1))
| ~ in(X5,the_carrier(X1))
| ~ element(X5,the_carrier(X1)) )
| ~ element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ full_subrelstr(X1,X0)
| ~ subrelstr(X1,X0) )
| ~ rel_str(X0) ),
inference(flattening,[],[f72]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ full_subnetstr(X2,X0,X1)
| ~ net_str(X1,X0)
| ~ subnetstr(X2,X0,X1)
| subrelstr(X2,X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f81,plain,
! [X2,X0,X1] :
( full_subrelstr(X2,X1)
| ~ net_str(X1,X0)
| ~ subnetstr(X2,X0,X1)
| ~ one_sorted_str(X0)
| ~ full_subnetstr(X2,X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f83,plain,
! [X0] :
( ~ rel_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f84,plain,
! [X0,X1] :
( rel_str(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ subnetstr(X2,X0,X1)
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| net_str(X2,X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f95,plain,
! [X0] :
( empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f117,plain,
element(sK21,the_carrier(sK17)),
inference(cnf_transformation,[],[f69]) ).
fof(f118,plain,
related(sK16,sK18,sK19),
inference(cnf_transformation,[],[f69]) ).
fof(f119,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f69]) ).
fof(f120,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f69]) ).
fof(f121,plain,
~ related(sK17,sK20,sK21),
inference(cnf_transformation,[],[f69]) ).
fof(f122,plain,
element(sK20,the_carrier(sK17)),
inference(cnf_transformation,[],[f69]) ).
fof(f123,plain,
element(sK19,the_carrier(sK16)),
inference(cnf_transformation,[],[f69]) ).
fof(f124,plain,
element(sK18,the_carrier(sK16)),
inference(cnf_transformation,[],[f69]) ).
fof(f125,plain,
subnetstr(sK17,sK15,sK16),
inference(cnf_transformation,[],[f69]) ).
fof(f126,plain,
full_subnetstr(sK17,sK15,sK16),
inference(cnf_transformation,[],[f69]) ).
fof(f127,plain,
~ empty_carrier(sK17),
inference(cnf_transformation,[],[f69]) ).
fof(f128,plain,
net_str(sK16,sK15),
inference(cnf_transformation,[],[f69]) ).
fof(f130,plain,
one_sorted_str(sK15),
inference(cnf_transformation,[],[f69]) ).
fof(f131,plain,
! [X0,X1] :
( in(X0,X1)
| ~ element(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f132,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rel_str(X0)
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X3,the_carrier(X0))
| ~ element(X4,the_carrier(X1))
| ~ element(X5,the_carrier(X1))
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ related(X0,X2,X3)
| X3 != X5
| X2 != X4
| related(X1,X4,X5) ),
inference(cnf_transformation,[],[f73]) ).
fof(f136,plain,
element(sK20,the_carrier(sK16)),
inference(definition_unfolding,[],[f124,f120]) ).
fof(f137,plain,
element(sK21,the_carrier(sK16)),
inference(definition_unfolding,[],[f123,f119]) ).
fof(f138,plain,
related(sK16,sK20,sK21),
inference(definition_unfolding,[],[f118,f120,f119]) ).
fof(f139,plain,
! [X2,X0,X1,X4,X5] :
( ~ rel_str(X0)
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X1))
| ~ element(X5,the_carrier(X1))
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ related(X0,X2,X5)
| X2 != X4
| related(X1,X4,X5) ),
inference(equality_resolution,[],[f132]) ).
fof(f140,plain,
! [X0,X1,X4,X5] :
( ~ full_subrelstr(X1,X0)
| ~ subrelstr(X1,X0)
| ~ rel_str(X0)
| ~ element(X4,the_carrier(X0))
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X1))
| ~ element(X5,the_carrier(X1))
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ related(X0,X4,X5)
| related(X1,X4,X5) ),
inference(equality_resolution,[],[f139]) ).
fof(f147,plain,
! [X0,X1] :
( ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| one_sorted_str(X0) ),
inference(resolution,[],[f84,f83]) ).
fof(f150,plain,
( ~ one_sorted_str(sK17)
| ~ empty(the_carrier(sK17)) ),
inference(resolution,[],[f95,f127]) ).
fof(f164,definition,
( spl22_3
<=> empty(the_carrier(sK17)) ),
introduced(definition,[new_symbols(definition,[spl22_3])],[avatar_definition]) ).
fof(f166,plain,
( ~ empty(the_carrier(sK17))
| spl22_3 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f168,definition,
( spl22_4
<=> one_sorted_str(sK17) ),
introduced(definition,[new_symbols(definition,[spl22_4])],[avatar_definition]) ).
fof(f170,plain,
( ~ one_sorted_str(sK17)
| spl22_4 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f171,plain,
( ~ spl22_3
| ~ spl22_4 ),
inference(avatar_split_clause,[],[f150,f168,f164]) ).
fof(f185,plain,
( ~ one_sorted_str(sK15)
| ~ net_str(sK16,sK15)
| net_str(sK17,sK15) ),
inference(resolution,[],[f86,f125]) ).
fof(f188,plain,
( ~ net_str(sK16,sK15)
| net_str(sK17,sK15) ),
inference(forward_subsumption_resolution,[],[f185,f130]) ).
fof(f189,plain,
net_str(sK17,sK15),
inference(forward_subsumption_resolution,[],[f188,f128]) ).
fof(f205,plain,
! [X2,X3,X0,X1,X4] :
( ~ subrelstr(X0,X1)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X0))
| ~ element(X3,the_carrier(X0))
| ~ in(X3,the_carrier(X0))
| ~ in(X2,the_carrier(X0))
| ~ related(X1,X2,X3)
| related(X0,X2,X3)
| ~ net_str(X1,X4)
| ~ subnetstr(X0,X4,X1)
| ~ one_sorted_str(X4)
| ~ full_subnetstr(X0,X4,X1) ),
inference(resolution,[],[f140,f81]) ).
fof(f206,plain,
! [X2,X3,X0,X1,X4] :
( ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X0))
| ~ element(X3,the_carrier(X0))
| ~ in(X3,the_carrier(X0))
| ~ in(X2,the_carrier(X0))
| ~ related(X1,X2,X3)
| related(X0,X2,X3)
| ~ net_str(X1,X4)
| ~ subnetstr(X0,X4,X1)
| ~ one_sorted_str(X4)
| ~ full_subnetstr(X0,X4,X1) ),
inference(forward_subsumption_resolution,[],[f205,f80]) ).
fof(f207,plain,
! [X2,X3,X0,X1,X4] :
( ~ full_subnetstr(X0,X4,X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X0))
| ~ element(X3,the_carrier(X0))
| ~ in(X3,the_carrier(X0))
| ~ in(X2,the_carrier(X0))
| ~ related(X1,X2,X3)
| related(X0,X2,X3)
| ~ net_str(X1,X4)
| ~ subnetstr(X0,X4,X1)
| ~ one_sorted_str(X4)
| ~ element(X2,the_carrier(X1)) ),
inference(forward_subsumption_resolution,[],[f206,f84]) ).
fof(f213,plain,
( ~ one_sorted_str(sK15)
| one_sorted_str(sK17) ),
inference(resolution,[],[f147,f189]) ).
fof(f215,plain,
one_sorted_str(sK17),
inference(forward_subsumption_resolution,[],[f213,f130]) ).
fof(f217,plain,
( $false
| spl22_4 ),
inference(forward_subsumption_resolution,[],[f215,f170]) ).
fof(f218,plain,
spl22_4,
inference(avatar_contradiction_clause,[],[f217]) ).
fof(f230,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK16))
| ~ element(X1,the_carrier(sK17))
| ~ element(X0,the_carrier(sK17))
| ~ in(X0,the_carrier(sK17))
| ~ in(X1,the_carrier(sK17))
| ~ related(sK16,X1,X0)
| related(sK17,X1,X0)
| ~ net_str(sK16,sK15)
| ~ subnetstr(sK17,sK15,sK16)
| ~ one_sorted_str(sK15)
| ~ element(X1,the_carrier(sK16)) ),
inference(resolution,[],[f207,f126]) ).
fof(f231,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK16))
| ~ element(X1,the_carrier(sK17))
| ~ element(X0,the_carrier(sK17))
| ~ in(X0,the_carrier(sK17))
| ~ in(X1,the_carrier(sK17))
| ~ related(sK16,X1,X0)
| related(sK17,X1,X0)
| ~ subnetstr(sK17,sK15,sK16)
| ~ one_sorted_str(sK15)
| ~ element(X1,the_carrier(sK16)) ),
inference(forward_subsumption_resolution,[],[f230,f128]) ).
fof(f232,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK16))
| ~ element(X1,the_carrier(sK17))
| ~ element(X0,the_carrier(sK17))
| ~ in(X0,the_carrier(sK17))
| ~ in(X1,the_carrier(sK17))
| ~ related(sK16,X1,X0)
| related(sK17,X1,X0)
| ~ one_sorted_str(sK15)
| ~ element(X1,the_carrier(sK16)) ),
inference(forward_subsumption_resolution,[],[f231,f125]) ).
fof(f233,plain,
! [X0,X1] :
( related(sK17,X1,X0)
| ~ element(X1,the_carrier(sK17))
| ~ element(X0,the_carrier(sK17))
| ~ in(X0,the_carrier(sK17))
| ~ in(X1,the_carrier(sK17))
| ~ related(sK16,X1,X0)
| ~ element(X0,the_carrier(sK16))
| ~ element(X1,the_carrier(sK16)) ),
inference(forward_subsumption_resolution,[],[f232,f130]) ).
fof(f234,plain,
( ~ element(sK20,the_carrier(sK17))
| ~ element(sK21,the_carrier(sK17))
| ~ in(sK21,the_carrier(sK17))
| ~ in(sK20,the_carrier(sK17))
| ~ related(sK16,sK20,sK21)
| ~ element(sK21,the_carrier(sK16))
| ~ element(sK20,the_carrier(sK16)) ),
inference(resolution,[],[f233,f121]) ).
fof(f235,plain,
( ~ element(sK21,the_carrier(sK17))
| ~ in(sK21,the_carrier(sK17))
| ~ in(sK20,the_carrier(sK17))
| ~ related(sK16,sK20,sK21)
| ~ element(sK21,the_carrier(sK16))
| ~ element(sK20,the_carrier(sK16)) ),
inference(forward_subsumption_resolution,[],[f234,f122]) ).
fof(f236,plain,
( ~ in(sK21,the_carrier(sK17))
| ~ in(sK20,the_carrier(sK17))
| ~ related(sK16,sK20,sK21)
| ~ element(sK21,the_carrier(sK16))
| ~ element(sK20,the_carrier(sK16)) ),
inference(forward_subsumption_resolution,[],[f235,f117]) ).
fof(f237,plain,
( ~ in(sK21,the_carrier(sK17))
| ~ in(sK20,the_carrier(sK17))
| ~ element(sK21,the_carrier(sK16))
| ~ element(sK20,the_carrier(sK16)) ),
inference(forward_subsumption_resolution,[],[f236,f138]) ).
fof(f238,plain,
( ~ in(sK21,the_carrier(sK17))
| ~ in(sK20,the_carrier(sK17))
| ~ element(sK20,the_carrier(sK16)) ),
inference(forward_subsumption_resolution,[],[f237,f137]) ).
fof(f239,plain,
( ~ in(sK21,the_carrier(sK17))
| ~ in(sK20,the_carrier(sK17)) ),
inference(forward_subsumption_resolution,[],[f238,f136]) ).
fof(f241,definition,
( spl22_7
<=> in(sK20,the_carrier(sK17)) ),
introduced(definition,[new_symbols(definition,[spl22_7])],[avatar_definition]) ).
fof(f243,plain,
( ~ in(sK20,the_carrier(sK17))
| spl22_7 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f245,definition,
( spl22_8
<=> in(sK21,the_carrier(sK17)) ),
introduced(definition,[new_symbols(definition,[spl22_8])],[avatar_definition]) ).
fof(f247,plain,
( ~ in(sK21,the_carrier(sK17))
| spl22_8 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f248,plain,
( ~ spl22_7
| ~ spl22_8 ),
inference(avatar_split_clause,[],[f239,f245,f241]) ).
fof(f249,plain,
( ~ element(sK20,the_carrier(sK17))
| empty(the_carrier(sK17))
| spl22_7 ),
inference(resolution,[],[f243,f131]) ).
fof(f250,plain,
( empty(the_carrier(sK17))
| spl22_7 ),
inference(forward_subsumption_resolution,[],[f249,f122]) ).
fof(f251,plain,
( $false
| spl22_3
| spl22_7 ),
inference(forward_subsumption_resolution,[],[f250,f166]) ).
fof(f252,plain,
( spl22_3
| spl22_7 ),
inference(avatar_contradiction_clause,[],[f251]) ).
fof(f271,plain,
( ~ element(sK21,the_carrier(sK17))
| empty(the_carrier(sK17))
| spl22_8 ),
inference(resolution,[],[f247,f131]) ).
fof(f272,plain,
( empty(the_carrier(sK17))
| spl22_8 ),
inference(forward_subsumption_resolution,[],[f271,f117]) ).
fof(f273,plain,
( $false
| spl22_3
| spl22_8 ),
inference(forward_subsumption_resolution,[],[f272,f166]) ).
fof(f274,plain,
( spl22_3
| spl22_8 ),
inference(avatar_contradiction_clause,[],[f273]) ).
cnf(s2,plain,
( ~ spl22_3
| ~ spl22_4 ),
inference(sat_conversion,[],[f171]) ).
cnf(s5,plain,
spl22_4,
inference(sat_conversion,[],[f218]) ).
cnf(s7,plain,
( ~ spl22_7
| ~ spl22_8 ),
inference(sat_conversion,[],[f248]) ).
cnf(s8,plain,
( spl22_3
| spl22_7 ),
inference(sat_conversion,[],[f252]) ).
cnf(s10,plain,
( spl22_3
| spl22_8 ),
inference(sat_conversion,[],[f274]) ).
cnf(s12,plain,
~ spl22_3,
inference(rat,[],[s2,s5]) ).
cnf(s13,plain,
spl22_8,
inference(rat,[],[s10,s12]) ).
cnf(s14,plain,
spl22_7,
inference(rat,[],[s8,s12]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s7,s13,s14]) ).
fof(f275,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU375+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 % Computer : n019.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Mon Sep 28 04:59:34 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.47 % (3669227)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (3669236)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2432392866:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (3669233)% WARNING: option uhcvi not known.
% 0.16/0.47 % (3669236) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3669227-3669236"...
% 0.16/0.47 % (3669236)...printing done.
% 0.16/0.47 % (3669236)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Theorem for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (3669236)------------------------------
% 0.16/0.48 % (3669236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (3669236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (3669236)CaDiCaL version: 2.1.3
% 0.16/0.48 % (3669236)Termination reason: Refutation
% 0.16/0.48 % (3669236)Time elapsed: 0.004 s
% 0.16/0.48 % (3669236)Peak memory usage: 12 MB
% 0.16/0.48 % (3669236)Instructions burned: 8 (million)
% 0.16/0.48 % (3669227)Success in time 0.037 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------