TSTP Solution File: SEU249+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU249+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 17:57:20 EDT 2023
% Result : Theorem 0.17s 0.56s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 32
% Syntax : Number of formulae : 197 ( 25 unt; 0 def)
% Number of atoms : 588 ( 50 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 675 ( 284 ~; 297 |; 65 &)
% ( 6 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-3 aty)
% Number of variables : 334 (; 315 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10069,plain,
$false,
inference(unit_resulting_resolution,[],[f7056,f8569,f10055,f148]) ).
fof(f148,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',t2_subset) ).
fof(f10055,plain,
element(sK0,sF12),
inference(resolution,[],[f10054,f191]) ).
fof(f191,plain,
in(sK0,sF14),
inference(definition_folding,[],[f118,f190,f189]) ).
fof(f189,plain,
relation_restriction(sK2,sK1) = sF13,
introduced(function_definition,[]) ).
fof(f190,plain,
relation_field(sF13) = sF14,
introduced(function_definition,[]) ).
fof(f118,plain,
in(sK0,relation_field(relation_restriction(sK2,sK1))),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( ~ in(sK0,sK1)
| ~ in(sK0,relation_field(sK2)) )
& in(sK0,relation_field(relation_restriction(sK2,sK1)))
& relation(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f61,f93]) ).
fof(f93,plain,
( ? [X0,X1,X2] :
( ( ~ in(X0,X1)
| ~ in(X0,relation_field(X2)) )
& in(X0,relation_field(relation_restriction(X2,X1)))
& relation(X2) )
=> ( ( ~ in(sK0,sK1)
| ~ in(sK0,relation_field(sK2)) )
& in(sK0,relation_field(relation_restriction(sK2,sK1)))
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
? [X0,X1,X2] :
( ( ~ in(X0,X1)
| ~ in(X0,relation_field(X2)) )
& in(X0,relation_field(relation_restriction(X2,X1)))
& relation(X2) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
? [X0,X1,X2] :
( ( ~ in(X0,X1)
| ~ in(X0,relation_field(X2)) )
& in(X0,relation_field(relation_restriction(X2,X1)))
& relation(X2) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_field(relation_restriction(X2,X1)))
=> ( in(X0,X1)
& in(X0,relation_field(X2)) ) ) ),
inference(negated_conjecture,[],[f40]) ).
fof(f40,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_field(relation_restriction(X2,X1)))
=> ( in(X0,X1)
& in(X0,relation_field(X2)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',t19_wellord1) ).
fof(f10054,plain,
! [X1] :
( ~ in(X1,sF14)
| element(X1,sF12) ),
inference(duplicate_literal_removal,[],[f10053]) ).
fof(f10053,plain,
! [X1] :
( element(X1,sF12)
| element(X1,sF12)
| ~ in(X1,sF14) ),
inference(forward_demodulation,[],[f10052,f187]) ).
fof(f187,plain,
relation_field(sK2) = sF12,
introduced(function_definition,[]) ).
fof(f10052,plain,
! [X1] :
( element(X1,sF12)
| ~ in(X1,sF14)
| element(X1,relation_field(sK2)) ),
inference(subsumption_resolution,[],[f9981,f117]) ).
fof(f117,plain,
relation(sK2),
inference(cnf_transformation,[],[f94]) ).
fof(f9981,plain,
! [X1] :
( element(X1,sF12)
| ~ in(X1,sF14)
| element(X1,relation_field(sK2))
| ~ relation(sK2) ),
inference(resolution,[],[f9585,f413]) ).
fof(f413,plain,
! [X22,X23] :
( ~ in(X23,relation_dom(X22))
| element(X23,relation_field(X22))
| ~ relation(X22) ),
inference(superposition,[],[f320,f125]) ).
fof(f125,plain,
! [X0] :
( relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( relation(X0)
=> relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',d6_relat_1) ).
fof(f320,plain,
! [X2,X0,X1] :
( element(X0,set_union2(X1,X2))
| ~ in(X0,X1) ),
inference(resolution,[],[f183,f147]) ).
fof(f147,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',t1_subset) ).
fof(f183,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f164]) ).
fof(f164,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ( ( ( ~ in(sK5(X0,X1,X2),X1)
& ~ in(sK5(X0,X1,X2),X0) )
| ~ in(sK5(X0,X1,X2),X2) )
& ( in(sK5(X0,X1,X2),X1)
| in(sK5(X0,X1,X2),X0)
| in(sK5(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X1)
& ~ in(X4,X0) ) )
& ( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f104,f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) )
=> ( ( ( ~ in(sK5(X0,X1,X2),X1)
& ~ in(sK5(X0,X1,X2),X0) )
| ~ in(sK5(X0,X1,X2),X2) )
& ( in(sK5(X0,X1,X2),X1)
| in(sK5(X0,X1,X2),X0)
| in(sK5(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X1)
& ~ in(X4,X0) ) )
& ( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( set_union2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
| in(X3,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',d2_xboole_0) ).
fof(f9585,plain,
! [X0] :
( in(X0,relation_dom(sK2))
| element(X0,sF12)
| ~ in(X0,sF14) ),
inference(resolution,[],[f9435,f7108]) ).
fof(f7108,plain,
! [X1] :
( ~ in(X1,relation_dom(sF13))
| in(X1,relation_dom(sK2)) ),
inference(subsumption_resolution,[],[f7101,f155]) ).
fof(f155,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',t7_boole) ).
fof(f7101,plain,
! [X1] :
( in(X1,relation_dom(sK2))
| ~ in(X1,relation_dom(sF13))
| empty(relation_dom(sF13)) ),
inference(resolution,[],[f6696,f3385]) ).
fof(f3385,plain,
( ~ empty(relation_dom(relation_dom_restriction(sK2,sK1)))
| empty(relation_dom(sF13)) ),
inference(forward_literal_rewriting,[],[f3376,f271]) ).
fof(f271,plain,
! [X2] :
( ~ sP11(X2)
| empty(X2) ),
inference(resolution,[],[f266,f186]) ).
fof(f186,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ sP11(X1) ),
inference(general_splitting,[],[f169,f185_D]) ).
fof(f185,plain,
! [X2,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| sP11(X1) ),
inference(cnf_transformation,[],[f185_D]) ).
fof(f185_D,plain,
! [X1] :
( ! [X2] :
( ~ element(X1,powerset(X2))
| ~ empty(X2) )
<=> ~ sP11(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',t5_subset) ).
fof(f266,plain,
! [X0] :
( in(sK3(X0),X0)
| empty(X0) ),
inference(resolution,[],[f148,f129]) ).
fof(f129,plain,
! [X0] : element(sK3(X0),X0),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] : element(sK3(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f22,f95]) ).
fof(f95,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK3(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f22,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',existence_m1_subset_1) ).
fof(f3376,plain,
( sP11(relation_dom(sF13))
| ~ empty(relation_dom(relation_dom_restriction(sK2,sK1))) ),
inference(resolution,[],[f3365,f346]) ).
fof(f346,plain,
! [X2,X1] :
( ~ subset(X2,X1)
| sP11(X2)
| ~ empty(X1) ),
inference(resolution,[],[f185,f153]) ).
fof(f153,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( subset(X0,X1)
=> element(X0,powerset(X1)) ),
inference(unused_predicate_definition_removal,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',t3_subset) ).
fof(f3365,plain,
subset(relation_dom(sF13),relation_dom(relation_dom_restriction(sK2,sK1))),
inference(subsumption_resolution,[],[f3342,f117]) ).
fof(f3342,plain,
( subset(relation_dom(sF13),relation_dom(relation_dom_restriction(sK2,sK1)))
| ~ relation(sK2) ),
inference(superposition,[],[f683,f189]) ).
fof(f683,plain,
! [X0,X1] :
( subset(relation_dom(relation_restriction(X1,X0)),relation_dom(relation_dom_restriction(X1,X0)))
| ~ relation(X1) ),
inference(subsumption_resolution,[],[f680,f139]) ).
fof(f139,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',dt_k7_relat_1) ).
fof(f680,plain,
! [X0,X1] :
( subset(relation_dom(relation_restriction(X1,X0)),relation_dom(relation_dom_restriction(X1,X0)))
| ~ relation(relation_dom_restriction(X1,X0))
| ~ relation(X1) ),
inference(superposition,[],[f141,f142]) ).
fof(f142,plain,
! [X0,X1] :
( relation_restriction(X1,X0) = relation_rng_restriction(X0,relation_dom_restriction(X1,X0))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( relation_restriction(X1,X0) = relation_rng_restriction(X0,relation_dom_restriction(X1,X0))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_rng_restriction(X0,relation_dom_restriction(X1,X0)) ),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',t18_wellord1) ).
fof(f141,plain,
! [X0,X1] :
( subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',l29_wellord1) ).
fof(f6696,plain,
! [X0] :
( empty(relation_dom(relation_dom_restriction(sK2,sK1)))
| in(X0,relation_dom(sK2))
| ~ in(X0,relation_dom(sF13)) ),
inference(subsumption_resolution,[],[f6673,f117]) ).
fof(f6673,plain,
! [X0] :
( in(X0,relation_dom(sK2))
| ~ relation(sK2)
| empty(relation_dom(relation_dom_restriction(sK2,sK1)))
| ~ in(X0,relation_dom(sF13)) ),
inference(resolution,[],[f1083,f3413]) ).
fof(f3413,plain,
! [X0] :
( in(X0,relation_dom(relation_dom_restriction(sK2,sK1)))
| empty(relation_dom(relation_dom_restriction(sK2,sK1)))
| ~ in(X0,relation_dom(sF13)) ),
inference(resolution,[],[f3375,f148]) ).
fof(f3375,plain,
! [X0] :
( element(X0,relation_dom(relation_dom_restriction(sK2,sK1)))
| ~ in(X0,relation_dom(sF13)) ),
inference(resolution,[],[f3365,f424]) ).
fof(f424,plain,
! [X2,X3,X4] :
( ~ subset(X4,X3)
| ~ in(X2,X4)
| element(X2,X3) ),
inference(resolution,[],[f156,f153]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',t4_subset) ).
fof(f1083,plain,
! [X10,X8,X9] :
( ~ in(X10,relation_dom(relation_dom_restriction(X8,X9)))
| in(X10,relation_dom(X8))
| ~ relation(X8) ),
inference(superposition,[],[f181,f145]) ).
fof(f145,plain,
! [X0,X1] :
( relation_dom(relation_dom_restriction(X1,X0)) = set_intersection2(relation_dom(X1),X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( relation_dom(relation_dom_restriction(X1,X0)) = set_intersection2(relation_dom(X1),X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0,X1] :
( relation(X1)
=> relation_dom(relation_dom_restriction(X1,X0)) = set_intersection2(relation_dom(X1),X0) ),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',t90_relat_1) ).
fof(f181,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f157]) ).
fof(f157,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ( ( ~ in(sK4(X0,X1,X2),X1)
| ~ in(sK4(X0,X1,X2),X0)
| ~ in(sK4(X0,X1,X2),X2) )
& ( ( in(sK4(X0,X1,X2),X1)
& in(sK4(X0,X1,X2),X0) )
| in(sK4(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X1)
| ~ in(X4,X0) )
& ( ( in(X4,X1)
& in(X4,X0) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f99,f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) )
=> ( ( ~ in(sK4(X0,X1,X2),X1)
| ~ in(sK4(X0,X1,X2),X0)
| ~ in(sK4(X0,X1,X2),X2) )
& ( ( in(sK4(X0,X1,X2),X1)
& in(sK4(X0,X1,X2),X0) )
| in(sK4(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X1)
| ~ in(X4,X0) )
& ( ( in(X4,X1)
& in(X4,X0) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',d3_xboole_0) ).
fof(f9435,plain,
! [X1] :
( in(X1,relation_dom(sF13))
| ~ in(X1,sF14)
| element(X1,sF12) ),
inference(forward_demodulation,[],[f9434,f187]) ).
fof(f9434,plain,
! [X1] :
( ~ in(X1,sF14)
| in(X1,relation_dom(sF13))
| element(X1,relation_field(sK2)) ),
inference(subsumption_resolution,[],[f9366,f117]) ).
fof(f9366,plain,
! [X1] :
( ~ in(X1,sF14)
| in(X1,relation_dom(sF13))
| element(X1,relation_field(sK2))
| ~ relation(sK2) ),
inference(resolution,[],[f8454,f407]) ).
fof(f407,plain,
! [X10,X11] :
( ~ in(X11,relation_rng(X10))
| element(X11,relation_field(X10))
| ~ relation(X10) ),
inference(superposition,[],[f291,f125]) ).
fof(f291,plain,
! [X2,X0,X1] :
( element(X0,set_union2(X2,X1))
| ~ in(X0,X1) ),
inference(resolution,[],[f182,f147]) ).
fof(f182,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f165]) ).
fof(f165,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f106]) ).
fof(f8454,plain,
! [X4] :
( in(X4,relation_rng(sK2))
| ~ in(X4,sF14)
| in(X4,relation_dom(sF13)) ),
inference(resolution,[],[f8222,f6906]) ).
fof(f6906,plain,
! [X0] :
( ~ in(X0,relation_rng(sF13))
| in(X0,relation_rng(sK2)) ),
inference(subsumption_resolution,[],[f6900,f155]) ).
fof(f6900,plain,
! [X0] :
( in(X0,relation_rng(sK2))
| ~ in(X0,relation_rng(sF13))
| empty(relation_rng(sF13)) ),
inference(resolution,[],[f6438,f3547]) ).
fof(f3547,plain,
( ~ empty(relation_rng(relation_rng_restriction(sK1,sK2)))
| empty(relation_rng(sF13)) ),
inference(forward_literal_rewriting,[],[f3540,f271]) ).
fof(f3540,plain,
( sP11(relation_rng(sF13))
| ~ empty(relation_rng(relation_rng_restriction(sK1,sK2))) ),
inference(resolution,[],[f3531,f346]) ).
fof(f3531,plain,
subset(relation_rng(sF13),relation_rng(relation_rng_restriction(sK1,sK2))),
inference(subsumption_resolution,[],[f3510,f117]) ).
fof(f3510,plain,
( subset(relation_rng(sF13),relation_rng(relation_rng_restriction(sK1,sK2)))
| ~ relation(sK2) ),
inference(superposition,[],[f829,f189]) ).
fof(f829,plain,
! [X4,X5] :
( subset(relation_rng(relation_restriction(X5,X4)),relation_rng(relation_rng_restriction(X4,X5)))
| ~ relation(X5) ),
inference(subsumption_resolution,[],[f823,f138]) ).
fof(f138,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',dt_k8_relat_1) ).
fof(f823,plain,
! [X4,X5] :
( subset(relation_rng(relation_restriction(X5,X4)),relation_rng(relation_rng_restriction(X4,X5)))
| ~ relation(relation_rng_restriction(X4,X5))
| ~ relation(X5) ),
inference(superposition,[],[f140,f143]) ).
fof(f143,plain,
! [X0,X1] :
( relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0) ),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',t17_wellord1) ).
fof(f140,plain,
! [X0,X1] :
( subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',t99_relat_1) ).
fof(f6438,plain,
! [X0] :
( empty(relation_rng(relation_rng_restriction(sK1,sK2)))
| in(X0,relation_rng(sK2))
| ~ in(X0,relation_rng(sF13)) ),
inference(subsumption_resolution,[],[f6417,f117]) ).
fof(f6417,plain,
! [X0] :
( in(X0,relation_rng(sK2))
| ~ relation(sK2)
| empty(relation_rng(relation_rng_restriction(sK1,sK2)))
| ~ in(X0,relation_rng(sF13)) ),
inference(resolution,[],[f962,f3554]) ).
fof(f3554,plain,
! [X0] :
( in(X0,relation_rng(relation_rng_restriction(sK1,sK2)))
| empty(relation_rng(relation_rng_restriction(sK1,sK2)))
| ~ in(X0,relation_rng(sF13)) ),
inference(resolution,[],[f3539,f148]) ).
fof(f3539,plain,
! [X0] :
( element(X0,relation_rng(relation_rng_restriction(sK1,sK2)))
| ~ in(X0,relation_rng(sF13)) ),
inference(resolution,[],[f3531,f424]) ).
fof(f962,plain,
! [X14,X12,X13] :
( ~ in(X14,relation_rng(relation_rng_restriction(X13,X12)))
| in(X14,relation_rng(X12))
| ~ relation(X12) ),
inference(superposition,[],[f181,f144]) ).
fof(f144,plain,
! [X0,X1] :
( relation_rng(relation_rng_restriction(X0,X1)) = set_intersection2(relation_rng(X1),X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( relation_rng(relation_rng_restriction(X0,X1)) = set_intersection2(relation_rng(X1),X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( relation(X1)
=> relation_rng(relation_rng_restriction(X0,X1)) = set_intersection2(relation_rng(X1),X0) ),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',t119_relat_1) ).
fof(f8222,plain,
! [X8] :
( in(X8,relation_rng(sF13))
| in(X8,relation_dom(sF13))
| ~ in(X8,sF14) ),
inference(subsumption_resolution,[],[f8216,f207]) ).
fof(f207,plain,
relation(sF13),
inference(subsumption_resolution,[],[f206,f117]) ).
fof(f206,plain,
( relation(sF13)
| ~ relation(sK2) ),
inference(superposition,[],[f137,f189]) ).
fof(f137,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_restriction(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',dt_k2_wellord1) ).
fof(f8216,plain,
! [X8] :
( ~ in(X8,sF14)
| in(X8,relation_dom(sF13))
| in(X8,relation_rng(sF13))
| ~ relation(sF13) ),
inference(superposition,[],[f1363,f190]) ).
fof(f1363,plain,
! [X18,X19] :
( ~ in(X19,relation_field(X18))
| in(X19,relation_dom(X18))
| in(X19,relation_rng(X18))
| ~ relation(X18) ),
inference(superposition,[],[f184,f125]) ).
fof(f184,plain,
! [X0,X1,X4] :
( ~ in(X4,set_union2(X0,X1))
| in(X4,X0)
| in(X4,X1) ),
inference(equality_resolution,[],[f163]) ).
fof(f163,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f106]) ).
fof(f8569,plain,
~ in(sK0,sF12),
inference(subsumption_resolution,[],[f188,f8556]) ).
fof(f8556,plain,
in(sK0,sK1),
inference(resolution,[],[f8531,f191]) ).
fof(f8531,plain,
! [X5] :
( ~ in(X5,sF14)
| in(X5,sK1) ),
inference(subsumption_resolution,[],[f8455,f4560]) ).
fof(f4560,plain,
! [X1] :
( ~ in(X1,relation_dom(sF13))
| in(X1,sK1) ),
inference(subsumption_resolution,[],[f4553,f155]) ).
fof(f4553,plain,
! [X1] :
( in(X1,sK1)
| ~ in(X1,relation_dom(sF13))
| empty(relation_dom(sF13)) ),
inference(resolution,[],[f4542,f3385]) ).
fof(f4542,plain,
! [X0] :
( empty(relation_dom(relation_dom_restriction(sK2,sK1)))
| in(X0,sK1)
| ~ in(X0,relation_dom(sF13)) ),
inference(subsumption_resolution,[],[f4523,f117]) ).
fof(f4523,plain,
! [X0] :
( in(X0,sK1)
| ~ relation(sK2)
| empty(relation_dom(relation_dom_restriction(sK2,sK1)))
| ~ in(X0,relation_dom(sF13)) ),
inference(resolution,[],[f1082,f3413]) ).
fof(f1082,plain,
! [X6,X7,X5] :
( ~ in(X7,relation_dom(relation_dom_restriction(X5,X6)))
| in(X7,X6)
| ~ relation(X5) ),
inference(superposition,[],[f180,f145]) ).
fof(f180,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X1) ),
inference(equality_resolution,[],[f158]) ).
fof(f158,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f101]) ).
fof(f8455,plain,
! [X5] :
( in(X5,relation_dom(sF13))
| ~ in(X5,sF14)
| in(X5,sK1) ),
inference(resolution,[],[f8222,f4045]) ).
fof(f4045,plain,
! [X0] :
( ~ in(X0,relation_rng(sF13))
| in(X0,sK1) ),
inference(subsumption_resolution,[],[f4039,f155]) ).
fof(f4039,plain,
! [X0] :
( in(X0,sK1)
| ~ in(X0,relation_rng(sF13))
| empty(relation_rng(sF13)) ),
inference(resolution,[],[f4036,f3547]) ).
fof(f4036,plain,
! [X0] :
( empty(relation_rng(relation_rng_restriction(sK1,sK2)))
| in(X0,sK1)
| ~ in(X0,relation_rng(sF13)) ),
inference(subsumption_resolution,[],[f4019,f117]) ).
fof(f4019,plain,
! [X0] :
( in(X0,sK1)
| ~ relation(sK2)
| empty(relation_rng(relation_rng_restriction(sK1,sK2)))
| ~ in(X0,relation_rng(sF13)) ),
inference(resolution,[],[f961,f3554]) ).
fof(f961,plain,
! [X10,X11,X9] :
( ~ in(X11,relation_rng(relation_rng_restriction(X10,X9)))
| in(X11,X10)
| ~ relation(X9) ),
inference(superposition,[],[f180,f144]) ).
fof(f188,plain,
( ~ in(sK0,sF12)
| ~ in(sK0,sK1) ),
inference(definition_folding,[],[f119,f187]) ).
fof(f119,plain,
( ~ in(sK0,sK1)
| ~ in(sK0,relation_field(sK2)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f7056,plain,
~ empty(sF12),
inference(resolution,[],[f7054,f191]) ).
fof(f7054,plain,
! [X3] :
( ~ in(X3,sF14)
| ~ empty(sF12) ),
inference(subsumption_resolution,[],[f6785,f7053]) ).
fof(f7053,plain,
( ~ empty(sF12)
| empty(relation_rng(sF13)) ),
inference(forward_demodulation,[],[f7052,f187]) ).
fof(f7052,plain,
( empty(relation_rng(sF13))
| ~ empty(relation_field(sK2)) ),
inference(subsumption_resolution,[],[f7037,f117]) ).
fof(f7037,plain,
( empty(relation_rng(sF13))
| ~ empty(relation_field(sK2))
| ~ relation(sK2) ),
inference(resolution,[],[f6907,f415]) ).
fof(f415,plain,
! [X14,X15] :
( ~ in(X15,relation_rng(X14))
| ~ empty(relation_field(X14))
| ~ relation(X14) ),
inference(forward_literal_rewriting,[],[f409,f349]) ).
fof(f349,plain,
! [X0] :
( ~ empty(X0)
| sP11(X0) ),
inference(resolution,[],[f346,f130]) ).
fof(f130,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',reflexivity_r1_tarski) ).
fof(f409,plain,
! [X14,X15] :
( ~ sP11(relation_field(X14))
| ~ in(X15,relation_rng(X14))
| ~ relation(X14) ),
inference(superposition,[],[f293,f125]) ).
fof(f293,plain,
! [X8,X6,X7] :
( ~ sP11(set_union2(X8,X7))
| ~ in(X6,X7) ),
inference(resolution,[],[f182,f186]) ).
fof(f6907,plain,
( in(sK3(relation_rng(sF13)),relation_rng(sK2))
| empty(relation_rng(sF13)) ),
inference(resolution,[],[f6906,f266]) ).
fof(f6785,plain,
! [X3] :
( ~ empty(relation_rng(sF13))
| ~ empty(sF12)
| ~ in(X3,sF14) ),
inference(forward_demodulation,[],[f6784,f187]) ).
fof(f6784,plain,
! [X3] :
( ~ empty(relation_rng(sF13))
| ~ in(X3,sF14)
| ~ empty(relation_field(sK2)) ),
inference(subsumption_resolution,[],[f6704,f117]) ).
fof(f6704,plain,
! [X3] :
( ~ empty(relation_rng(sF13))
| ~ in(X3,sF14)
| ~ empty(relation_field(sK2))
| ~ relation(sK2) ),
inference(resolution,[],[f6697,f416]) ).
fof(f416,plain,
! [X18,X19] :
( ~ in(X19,relation_dom(X18))
| ~ empty(relation_field(X18))
| ~ relation(X18) ),
inference(forward_literal_rewriting,[],[f411,f349]) ).
fof(f411,plain,
! [X18,X19] :
( ~ sP11(relation_field(X18))
| ~ in(X19,relation_dom(X18))
| ~ relation(X18) ),
inference(superposition,[],[f306,f125]) ).
fof(f306,plain,
! [X10,X11,X12] :
( ~ sP11(set_union2(X11,X10))
| ~ in(X12,X11) ),
inference(superposition,[],[f293,f133]) ).
fof(f133,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',commutativity_k2_xboole_0) ).
fof(f6697,plain,
! [X1] :
( in(X1,relation_dom(sK2))
| ~ empty(relation_rng(sF13))
| ~ in(X1,sF14) ),
inference(subsumption_resolution,[],[f6674,f117]) ).
fof(f6674,plain,
! [X1] :
( in(X1,relation_dom(sK2))
| ~ relation(sK2)
| ~ empty(relation_rng(sF13))
| ~ in(X1,sF14) ),
inference(resolution,[],[f1083,f3434]) ).
fof(f3434,plain,
! [X0] :
( in(X0,relation_dom(relation_dom_restriction(sK2,sK1)))
| ~ empty(relation_rng(sF13))
| ~ in(X0,sF14) ),
inference(subsumption_resolution,[],[f3429,f3403]) ).
fof(f3403,plain,
( ~ empty(relation_dom(relation_dom_restriction(sK2,sK1)))
| ~ empty(relation_rng(sF13)) ),
inference(subsumption_resolution,[],[f3398,f201]) ).
fof(f201,plain,
~ sP11(sF14),
inference(resolution,[],[f186,f191]) ).
fof(f3398,plain,
( ~ empty(relation_rng(sF13))
| sP11(sF14)
| ~ empty(relation_dom(relation_dom_restriction(sK2,sK1))) ),
inference(resolution,[],[f3387,f346]) ).
fof(f3387,plain,
( subset(sF14,relation_dom(relation_dom_restriction(sK2,sK1)))
| ~ empty(relation_rng(sF13)) ),
inference(forward_demodulation,[],[f3386,f190]) ).
fof(f3386,plain,
( subset(relation_field(sF13),relation_dom(relation_dom_restriction(sK2,sK1)))
| ~ empty(relation_rng(sF13)) ),
inference(subsumption_resolution,[],[f3380,f207]) ).
fof(f3380,plain,
( subset(relation_field(sF13),relation_dom(relation_dom_restriction(sK2,sK1)))
| ~ relation(sF13)
| ~ empty(relation_rng(sF13)) ),
inference(superposition,[],[f3365,f400]) ).
fof(f400,plain,
! [X2] :
( relation_field(X2) = relation_dom(X2)
| ~ relation(X2)
| ~ empty(relation_rng(X2)) ),
inference(superposition,[],[f125,f196]) ).
fof(f196,plain,
! [X0,X1] :
( set_union2(X1,X0) = X1
| ~ empty(X0) ),
inference(superposition,[],[f122,f124]) ).
fof(f124,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',t6_boole) ).
fof(f122,plain,
! [X0] : set_union2(X0,empty_set) = X0,
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] : set_union2(X0,empty_set) = X0,
file('/export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006',t1_boole) ).
fof(f3429,plain,
! [X0] :
( ~ in(X0,sF14)
| ~ empty(relation_rng(sF13))
| empty(relation_dom(relation_dom_restriction(sK2,sK1)))
| in(X0,relation_dom(relation_dom_restriction(sK2,sK1))) ),
inference(resolution,[],[f3397,f148]) ).
fof(f3397,plain,
! [X0] :
( element(X0,relation_dom(relation_dom_restriction(sK2,sK1)))
| ~ in(X0,sF14)
| ~ empty(relation_rng(sF13)) ),
inference(resolution,[],[f3387,f424]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU249+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.31 % Computer : n032.cluster.edu
% 0.13/0.31 % Model : x86_64 x86_64
% 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31 % Memory : 8042.1875MB
% 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31 % CPULimit : 300
% 0.13/0.31 % WCLimit : 300
% 0.13/0.31 % DateTime : Wed Aug 23 13:26:25 EDT 2023
% 0.13/0.31 % CPUTime :
% 0.13/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.32 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.qsYu2bMO58/Vampire---4.8_15006
% 0.13/0.32 % (15178)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.35 % (15185)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.13/0.35 % (15180)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.13/0.35 % (15187)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.17/0.36 % (15188)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.17/0.37 % (15190)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.17/0.37 % (15184)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.17/0.37 % (15182)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.17/0.55 % (15187)First to succeed.
% 0.17/0.56 % (15187)Refutation found. Thanks to Tanya!
% 0.17/0.56 % SZS status Theorem for Vampire---4
% 0.17/0.56 % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.56 % (15187)------------------------------
% 0.17/0.56 % (15187)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.56 % (15187)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.56 % (15187)Termination reason: Refutation
% 0.17/0.56
% 0.17/0.56 % (15187)Memory used [KB]: 5628
% 0.17/0.56 % (15187)Time elapsed: 0.202 s
% 0.17/0.56 % (15187)------------------------------
% 0.17/0.56 % (15187)------------------------------
% 0.17/0.56 % (15178)Success in time 0.239 s
% 0.17/0.56 % Vampire---4.8 exiting
%------------------------------------------------------------------------------