%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU339+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 : n014.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 12:52:55 PM UTC 2026
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 99 ( 24 unt; 2 def)
% Number of atoms : 285 ( 24 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 323 ( 137 ~; 134 |; 23 &)
% ( 10 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 3 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 171 ( 0 sgn 165 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f3,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f4,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( ( in(X2,X1)
& in(X3,X1)
& in(ordered_pair(X2,X3),X0)
& in(ordered_pair(X3,X2),X0) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_2) ).
fof(f5,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f6,axiom,
! [X0] :
( rel_str(X0)
=> ( antisymmetric_relstr(X0)
<=> is_antisymmetric_in(the_InternalRel(X0),the_carrier(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_orders_2) ).
fof(f7,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_orders_2) ).
fof(f18,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f19,axiom,
! [X0] :
( rel_str(X0)
=> relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(f37,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X0,X2)
& in(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f39,conjecture,
! [X0] :
( ( antisymmetric_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( related(X0,X1,X2)
& related(X0,X2,X1) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_orders_2) ).
fof(f40,negated_conjecture,
~ ! [X0] :
( ( antisymmetric_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( related(X0,X1,X2)
& related(X0,X2,X1) )
=> X1 = X2 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f41,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f43,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f44,axiom,
! [X0,X1,X2] :
~ ( in(X0,X1)
& element(X1,powerset(X2))
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f53,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( X2 = X3
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( X2 = X3
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0] :
( ( antisymmetric_relstr(X0)
<=> is_antisymmetric_in(the_InternalRel(X0),the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f58,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f59,plain,
! [X0] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f64,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( X1 != X2
& related(X0,X1,X2)
& related(X0,X2,X1)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& antisymmetric_relstr(X0)
& rel_str(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f65,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( X1 != X2
& related(X0,X1,X2)
& related(X0,X2,X1)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& antisymmetric_relstr(X0)
& rel_str(X0) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f67,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f66]) ).
fof(f69,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f70,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| ~ empty(X2) ),
inference(ennf_transformation,[],[f44]) ).
fof(f76,plain,
! [X2,X0,X1] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(cnf_transformation,[],[f53]) ).
fof(f77,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f78,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(X3,X1)
| ~ in(X2,X1)
| X2 = X3
| ~ is_antisymmetric_in(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f84,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f5]) ).
fof(f86,plain,
! [X0] :
( ~ antisymmetric_relstr(X0)
| is_antisymmetric_in(the_InternalRel(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ related(X0,X1,X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(cnf_transformation,[],[f58]) ).
fof(f90,plain,
! [X0] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f109,plain,
! [X2,X3,X0,X1] :
( in(X1,X3)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( in(X0,X2)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f113,plain,
element(sK12,the_carrier(sK10)),
inference(cnf_transformation,[],[f65]) ).
fof(f114,plain,
related(sK10,sK12,sK11),
inference(cnf_transformation,[],[f65]) ).
fof(f115,plain,
related(sK10,sK11,sK12),
inference(cnf_transformation,[],[f65]) ).
fof(f116,plain,
sK11 != sK12,
inference(cnf_transformation,[],[f65]) ).
fof(f117,plain,
element(sK11,the_carrier(sK10)),
inference(cnf_transformation,[],[f65]) ).
fof(f118,plain,
rel_str(sK10),
inference(cnf_transformation,[],[f65]) ).
fof(f119,plain,
antisymmetric_relstr(sK10),
inference(cnf_transformation,[],[f65]) ).
fof(f120,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f129,plain,
! [X2,X3,X0,X1] :
( ~ is_antisymmetric_in(X0,X1)
| ~ in(unordered_pair(unordered_pair(X3,X2),singleton(X3)),X0)
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X0)
| ~ in(X3,X1)
| ~ in(X2,X1)
| X2 = X3
| ~ relation(X0) ),
inference(definition_unfolding,[],[f78,f84,f84]) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ related(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X0))
| ~ rel_str(X0) ),
inference(definition_unfolding,[],[f88,f84]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(definition_unfolding,[],[f110,f84]) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(definition_unfolding,[],[f109,f84]) ).
fof(f187,plain,
( is_antisymmetric_in(the_InternalRel(sK10),the_carrier(sK10))
| ~ rel_str(sK10) ),
inference(resolution,[],[f86,f119]) ).
fof(f188,plain,
is_antisymmetric_in(the_InternalRel(sK10),the_carrier(sK10)),
inference(forward_subsumption_resolution,[],[f187,f118]) ).
fof(f197,plain,
! [X0] :
( ~ rel_str(X0)
| element(the_InternalRel(X0),powerset(cartesian_product2(the_carrier(X0),the_carrier(X0)))) ),
inference(resolution,[],[f89,f90]) ).
fof(f216,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(X1))
| ~ in(X0,X2)
| in(X0,X1)
| empty(X1) ),
inference(resolution,[],[f122,f120]) ).
fof(f219,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(X1))
| ~ in(X0,X2)
| in(X0,X1) ),
inference(forward_subsumption_resolution,[],[f216,f123]) ).
fof(f224,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X1)),cartesian_product2(X2,X3))
| in(X1,X2) ),
inference(superposition,[],[f133,f77]) ).
fof(f227,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X0,X1)),cartesian_product2(X2,X3))
| in(X1,X2) ),
inference(forward_demodulation,[],[f224,f77]) ).
fof(f232,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X1)),cartesian_product2(X2,X3))
| in(X0,X3) ),
inference(superposition,[],[f134,f77]) ).
fof(f235,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X0,X1)),cartesian_product2(X2,X3))
| in(X0,X3) ),
inference(forward_demodulation,[],[f232,f77]) ).
fof(f261,plain,
( ~ element(sK12,the_carrier(sK10))
| ~ element(sK11,the_carrier(sK10))
| in(unordered_pair(unordered_pair(sK12,sK11),singleton(sK12)),the_InternalRel(sK10))
| ~ rel_str(sK10) ),
inference(resolution,[],[f130,f114]) ).
fof(f262,plain,
( ~ element(sK11,the_carrier(sK10))
| ~ element(sK12,the_carrier(sK10))
| in(unordered_pair(unordered_pair(sK11,sK12),singleton(sK11)),the_InternalRel(sK10))
| ~ rel_str(sK10) ),
inference(resolution,[],[f130,f115]) ).
fof(f263,plain,
( ~ element(sK12,the_carrier(sK10))
| in(unordered_pair(unordered_pair(sK11,sK12),singleton(sK11)),the_InternalRel(sK10))
| ~ rel_str(sK10) ),
inference(forward_subsumption_resolution,[],[f262,f117]) ).
fof(f264,plain,
( ~ element(sK11,the_carrier(sK10))
| in(unordered_pair(unordered_pair(sK12,sK11),singleton(sK12)),the_InternalRel(sK10))
| ~ rel_str(sK10) ),
inference(forward_subsumption_resolution,[],[f261,f113]) ).
fof(f265,plain,
( in(unordered_pair(unordered_pair(sK11,sK12),singleton(sK11)),the_InternalRel(sK10))
| ~ rel_str(sK10) ),
inference(forward_subsumption_resolution,[],[f263,f113]) ).
fof(f266,plain,
( in(unordered_pair(unordered_pair(sK12,sK11),singleton(sK12)),the_InternalRel(sK10))
| ~ rel_str(sK10) ),
inference(forward_subsumption_resolution,[],[f264,f117]) ).
fof(f267,plain,
in(unordered_pair(unordered_pair(sK11,sK12),singleton(sK11)),the_InternalRel(sK10)),
inference(forward_subsumption_resolution,[],[f265,f118]) ).
fof(f268,plain,
in(unordered_pair(unordered_pair(sK12,sK11),singleton(sK12)),the_InternalRel(sK10)),
inference(forward_subsumption_resolution,[],[f266,f118]) ).
fof(f269,plain,
in(unordered_pair(singleton(sK11),unordered_pair(sK11,sK12)),the_InternalRel(sK10)),
inference(forward_demodulation,[],[f267,f77]) ).
fof(f270,plain,
in(unordered_pair(singleton(sK12),unordered_pair(sK12,sK11)),the_InternalRel(sK10)),
inference(forward_demodulation,[],[f268,f77]) ).
fof(f271,plain,
in(unordered_pair(singleton(sK12),unordered_pair(sK11,sK12)),the_InternalRel(sK10)),
inference(forward_demodulation,[],[f270,f77]) ).
fof(f274,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),the_InternalRel(sK10))
| ~ in(unordered_pair(unordered_pair(X1,X0),singleton(X1)),the_InternalRel(sK10))
| ~ in(X0,the_carrier(sK10))
| ~ in(X1,the_carrier(sK10))
| X0 = X1
| ~ relation(the_InternalRel(sK10)) ),
inference(resolution,[],[f129,f188]) ).
fof(f290,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),the_InternalRel(sK10))
| ~ in(unordered_pair(unordered_pair(X1,X0),singleton(X1)),the_InternalRel(sK10))
| ~ in(X0,the_carrier(sK10))
| ~ in(X1,the_carrier(sK10))
| X0 = X1
| ~ relation(the_InternalRel(sK10)) ),
inference(forward_demodulation,[],[f274,f77]) ).
fof(f296,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X0)),the_InternalRel(sK10))
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),the_InternalRel(sK10))
| ~ in(X0,the_carrier(sK10))
| ~ in(X1,the_carrier(sK10))
| X0 = X1
| ~ relation(the_InternalRel(sK10)) ),
inference(forward_demodulation,[],[f290,f77]) ).
fof(f300,definition,
( spl13_4
<=> relation(the_InternalRel(sK10)) ),
introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition]) ).
fof(f302,plain,
( ~ relation(the_InternalRel(sK10))
| spl13_4 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f304,definition,
( spl13_5
<=> ! [X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X0)),the_InternalRel(sK10))
| X0 = X1
| ~ in(X1,the_carrier(sK10))
| ~ in(X0,the_carrier(sK10))
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),the_InternalRel(sK10)) ) ),
introduced(definition,[new_symbols(definition,[spl13_5])],[avatar_definition]) ).
fof(f305,plain,
( ! [X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X0)),the_InternalRel(sK10))
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),the_InternalRel(sK10))
| ~ in(X1,the_carrier(sK10))
| ~ in(X0,the_carrier(sK10))
| X0 = X1 )
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f306,plain,
( ~ spl13_4
| spl13_5 ),
inference(avatar_split_clause,[],[f296,f304,f300]) ).
fof(f308,plain,
( ! [X0,X1] : ~ element(the_InternalRel(sK10),powerset(cartesian_product2(X0,X1)))
| spl13_4 ),
inference(resolution,[],[f302,f76]) ).
fof(f377,plain,
element(the_InternalRel(sK10),powerset(cartesian_product2(the_carrier(sK10),the_carrier(sK10)))),
inference(resolution,[],[f197,f118]) ).
fof(f379,plain,
( $false
| spl13_4 ),
inference(forward_subsumption_resolution,[],[f377,f308]) ).
fof(f380,plain,
spl13_4,
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f393,plain,
! [X0] :
( in(X0,cartesian_product2(the_carrier(sK10),the_carrier(sK10)))
| ~ in(X0,the_InternalRel(sK10)) ),
inference(resolution,[],[f377,f219]) ).
fof(f420,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X1,X0)),the_InternalRel(sK10))
| in(X0,the_carrier(sK10)) ),
inference(resolution,[],[f393,f227]) ).
fof(f423,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X0,X1)),the_InternalRel(sK10))
| in(X0,the_carrier(sK10)) ),
inference(resolution,[],[f235,f393]) ).
fof(f494,plain,
( ! [X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X0,X1)),the_InternalRel(sK10))
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),the_InternalRel(sK10))
| ~ in(X0,the_carrier(sK10))
| ~ in(X1,the_carrier(sK10))
| X0 = X1 )
| ~ spl13_5 ),
inference(superposition,[],[f305,f77]) ).
fof(f495,plain,
( ! [X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X0,X1)),the_InternalRel(sK10))
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),the_InternalRel(sK10))
| ~ in(X0,the_carrier(sK10))
| X0 = X1 )
| ~ spl13_5 ),
inference(forward_subsumption_resolution,[],[f494,f420]) ).
fof(f499,plain,
( ! [X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X0,X1)),the_InternalRel(sK10))
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),the_InternalRel(sK10))
| X0 = X1 )
| ~ spl13_5 ),
inference(forward_subsumption_resolution,[],[f495,f423]) ).
fof(f508,plain,
( ~ in(unordered_pair(singleton(sK11),unordered_pair(sK11,sK12)),the_InternalRel(sK10))
| sK11 = sK12
| ~ spl13_5 ),
inference(resolution,[],[f499,f271]) ).
fof(f513,plain,
( sK11 = sK12
| ~ spl13_5 ),
inference(forward_subsumption_resolution,[],[f508,f269]) ).
fof(f514,plain,
( $false
| ~ spl13_5 ),
inference(forward_subsumption_resolution,[],[f513,f116]) ).
fof(f515,plain,
~ spl13_5,
inference(avatar_contradiction_clause,[],[f514]) ).
cnf(s3,plain,
( ~ spl13_4
| spl13_5 ),
inference(sat_conversion,[],[f306]) ).
cnf(s4,plain,
spl13_4,
inference(sat_conversion,[],[f380]) ).
cnf(s6,plain,
~ spl13_5,
inference(sat_conversion,[],[f515]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s3,s6,s4]) ).
fof(f516,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU339+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n014.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 04:48:16 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.18/0.48 % (1436973)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (1436983)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1984470696:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.48 % (1436979)% WARNING: option uhcvi not known.
% 0.18/0.48 % (1436979)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=870370562:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.48 % (1436978)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3484023185_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.48 % (1436982)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3816965204:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.48 % (1436980)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2787219610:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.48 % (1436981)dis+10_1_sil=32000:sp=arity:random_seed=763544897:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.48 % (1436984)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=460517959:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.48 % TRYING [1]
% 0.18/0.48 % TRYING [2]
% 0.18/0.48 % TRYING [3]
% 0.18/0.48 % TRYING [4]
% 0.18/0.48 % (1436982) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1436973-1436982"...
% 0.18/0.48 % (1436982)...printing done.
% 0.18/0.48 % (1436982)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (1436982)------------------------------
% 0.18/0.48 % (1436982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48 % (1436982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48 % (1436982)CaDiCaL version: 2.1.3
% 0.18/0.48 % (1436982)Termination reason: Refutation
% 0.18/0.48 % (1436982)Time elapsed: 0.015 s
% 0.18/0.48 % (1436982)Peak memory usage: 12 MB
% 0.18/0.48 % (1436982)Instructions burned: 22 (million)
% 0.18/0.48 % (1436973)Success in time 0.048 s
% 0.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------