TSTP Solution File: SEU234+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU234+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 : Sun May 5 09:29:40 EDT 2024
% Result : Theorem 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 49
% Syntax : Number of formulae : 255 ( 55 unt; 0 def)
% Number of atoms : 720 ( 58 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 730 ( 265 ~; 276 |; 150 &)
% ( 12 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 7 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-1 aty)
% Number of variables : 258 ( 228 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f382,plain,
$false,
inference(avatar_sat_refutation,[],[f221,f234,f312,f370,f374,f377,f379,f381]) ).
fof(f381,plain,
( ~ spl17_1
| ~ spl17_4 ),
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f380,plain,
( $false
| ~ spl17_1
| ~ spl17_4 ),
inference(global_subsumption,[],[f216,f118,f120,f124,f143,f151,f150,f149,f116,f117,f125,f126,f127,f163,f164,f165,f166,f167,f168,f169,f171,f172,f173,f174,f185,f186,f187,f188,f190,f153,f114,f128,f129,f134,f135,f136,f192,f152,f115,f133,f160,f194,f195,f196,f197,f137,f141,f211,f142,f144,f224,f145,f155,f156,f240,f241,f242,f146,f147,f148,f157,f243,f158,f159,f244,f255,f256,f257,f140,f154,f261,f259,f266,f162,f269,f262,f267,f272,f270,f271,f273,f276,f275,f277,f279,f284,f285,f286,f287,f278,f295,f296,f299,f161,f301,f302,f294,f268,f300,f321,f322,f323,f324,f130,f354,f328,f334,f355,f359,f360,f341,f347,f361,f363,f365,f357,f367,f237,f233,f372,f375]) ).
fof(f375,plain,
epsilon_transitive(sK0),
inference(subsumption_resolution,[],[f223,f141]) ).
fof(f223,plain,
( epsilon_transitive(sK0)
| ~ in(sK1(sK0),sK0) ),
inference(resolution,[],[f142,f115]) ).
fof(f372,plain,
( ~ epsilon_transitive(sK0)
| ~ spl17_4 ),
inference(subsumption_resolution,[],[f371,f116]) ).
fof(f371,plain,
( ordinal(sK0)
| ~ epsilon_transitive(sK0)
| ~ spl17_4 ),
inference(resolution,[],[f233,f137]) ).
fof(f233,plain,
( epsilon_connected(sK0)
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f231,plain,
( spl17_4
<=> epsilon_connected(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f237,plain,
( epsilon_connected(sK0)
| ordinal(sK3(sK0)) ),
inference(resolution,[],[f145,f114]) ).
fof(f367,plain,
! [X0] :
( ~ ordinal(sK2(X0))
| epsilon_connected(X0)
| ~ empty(sK3(X0)) ),
inference(resolution,[],[f357,f136]) ).
fof(f357,plain,
! [X0] :
( ~ ordinal(sK3(X0))
| ~ ordinal(sK2(X0))
| epsilon_connected(X0) ),
inference(subsumption_resolution,[],[f356,f147]) ).
fof(f356,plain,
! [X0] :
( sK2(X0) = sK3(X0)
| ~ ordinal(sK2(X0))
| ~ ordinal(sK3(X0))
| epsilon_connected(X0) ),
inference(subsumption_resolution,[],[f337,f148]) ).
fof(f337,plain,
! [X0] :
( in(sK3(X0),sK2(X0))
| sK2(X0) = sK3(X0)
| ~ ordinal(sK2(X0))
| ~ ordinal(sK3(X0))
| epsilon_connected(X0) ),
inference(resolution,[],[f130,f146]) ).
fof(f365,plain,
! [X0] :
( ~ ordinal(sK2(X0))
| ~ ordinal(sK3(X0))
| epsilon_connected(X0) ),
inference(subsumption_resolution,[],[f364,f147]) ).
fof(f364,plain,
! [X0] :
( sK2(X0) = sK3(X0)
| ~ ordinal(sK2(X0))
| ~ ordinal(sK3(X0))
| epsilon_connected(X0) ),
inference(subsumption_resolution,[],[f351,f146]) ).
fof(f351,plain,
! [X0] :
( in(sK2(X0),sK3(X0))
| sK2(X0) = sK3(X0)
| ~ ordinal(sK2(X0))
| ~ ordinal(sK3(X0))
| epsilon_connected(X0) ),
inference(resolution,[],[f130,f148]) ).
fof(f363,plain,
! [X0] :
( ~ ordinal(sK3(X0))
| ~ ordinal(sK2(X0))
| epsilon_connected(X0) ),
inference(subsumption_resolution,[],[f362,f147]) ).
fof(f362,plain,
! [X0] :
( sK2(X0) = sK3(X0)
| ~ ordinal(sK3(X0))
| ~ ordinal(sK2(X0))
| epsilon_connected(X0) ),
inference(subsumption_resolution,[],[f350,f148]) ).
fof(f350,plain,
! [X0] :
( in(sK3(X0),sK2(X0))
| sK2(X0) = sK3(X0)
| ~ ordinal(sK3(X0))
| ~ ordinal(sK2(X0))
| epsilon_connected(X0) ),
inference(resolution,[],[f130,f146]) ).
fof(f361,plain,
! [X0,X1] :
( in(sK4(powerset(X0)),X1)
| sK4(powerset(X0)) = X1
| ~ ordinal(X1)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f348,f275]) ).
fof(f348,plain,
! [X0,X1] :
( in(sK4(powerset(X0)),X1)
| sK4(powerset(X0)) = X1
| ~ ordinal(sK4(powerset(X0)))
| ~ ordinal(X1)
| ~ empty(X0) ),
inference(resolution,[],[f130,f267]) ).
fof(f347,plain,
! [X0,X1] :
( in(sK4(powerset(X0)),X1)
| sK4(powerset(X0)) = X1
| ~ ordinal(sK4(powerset(X0)))
| ~ ordinal(X1)
| element(X1,X0) ),
inference(resolution,[],[f130,f300]) ).
fof(f341,plain,
! [X0,X1] :
( in(powerset(X0),X1)
| powerset(X0) = X1
| ~ ordinal(powerset(X0))
| ~ ordinal(X1)
| subset(X1,X0) ),
inference(resolution,[],[f130,f244]) ).
fof(f360,plain,
! [X0,X1] :
( in(X0,X1)
| X0 = X1
| ~ ordinal(X1)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f340,f136]) ).
fof(f340,plain,
! [X0,X1] :
( in(X0,X1)
| X0 = X1
| ~ ordinal(X0)
| ~ ordinal(X1)
| ~ empty(X0) ),
inference(resolution,[],[f130,f160]) ).
fof(f359,plain,
! [X0] :
( ~ ordinal(sK3(X0))
| ~ ordinal(sK2(X0))
| epsilon_connected(X0) ),
inference(subsumption_resolution,[],[f358,f147]) ).
fof(f358,plain,
! [X0] :
( sK2(X0) = sK3(X0)
| ~ ordinal(sK3(X0))
| ~ ordinal(sK2(X0))
| epsilon_connected(X0) ),
inference(subsumption_resolution,[],[f338,f146]) ).
fof(f338,plain,
! [X0] :
( in(sK2(X0),sK3(X0))
| sK2(X0) = sK3(X0)
| ~ ordinal(sK3(X0))
| ~ ordinal(sK2(X0))
| epsilon_connected(X0) ),
inference(resolution,[],[f130,f148]) ).
fof(f355,plain,
! [X0,X1] :
( in(sK4(powerset(X0)),X1)
| sK4(powerset(X0)) = X1
| ~ ordinal(X1)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f335,f275]) ).
fof(f335,plain,
! [X0,X1] :
( in(sK4(powerset(X0)),X1)
| sK4(powerset(X0)) = X1
| ~ ordinal(X1)
| ~ ordinal(sK4(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f130,f267]) ).
fof(f334,plain,
! [X0,X1] :
( in(sK4(powerset(X0)),X1)
| sK4(powerset(X0)) = X1
| ~ ordinal(X1)
| ~ ordinal(sK4(powerset(X0)))
| element(X1,X0) ),
inference(resolution,[],[f130,f300]) ).
fof(f328,plain,
! [X0,X1] :
( in(powerset(X0),X1)
| powerset(X0) = X1
| ~ ordinal(X1)
| ~ ordinal(powerset(X0))
| subset(X1,X0) ),
inference(resolution,[],[f130,f244]) ).
fof(f354,plain,
! [X0,X1] :
( in(X0,X1)
| X0 = X1
| ~ ordinal(X1)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f327,f136]) ).
fof(f327,plain,
! [X0,X1] :
( in(X0,X1)
| X0 = X1
| ~ ordinal(X1)
| ~ ordinal(X0)
| ~ empty(X0) ),
inference(resolution,[],[f130,f160]) ).
fof(f130,plain,
! [X0,X1] :
( in(X1,X0)
| in(X0,X1)
| X0 = X1
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( in(X1,X0)
| X0 = X1
| in(X0,X1)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( in(X1,X0)
| X0 = X1
| in(X0,X1)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ~ ( ~ in(X1,X0)
& X0 != X1
& ~ in(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_ordinal1) ).
fof(f324,plain,
! [X0] :
( element(sK4(sK4(powerset(X0))),X0)
| empty(sK4(powerset(X0))) ),
inference(resolution,[],[f300,f259]) ).
fof(f323,plain,
! [X0] :
( element(sK3(sK4(powerset(X0))),X0)
| epsilon_connected(sK4(powerset(X0))) ),
inference(resolution,[],[f300,f145]) ).
fof(f322,plain,
! [X0] :
( element(sK2(sK4(powerset(X0))),X0)
| epsilon_connected(sK4(powerset(X0))) ),
inference(resolution,[],[f300,f144]) ).
fof(f321,plain,
! [X0] :
( element(sK1(sK4(powerset(X0))),X0)
| epsilon_transitive(sK4(powerset(X0))) ),
inference(resolution,[],[f300,f141]) ).
fof(f300,plain,
! [X0,X1] :
( ~ in(X0,sK4(powerset(X1)))
| element(X0,X1) ),
inference(resolution,[],[f161,f152]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ subset(X2,X0)
| ~ in(X1,X2)
| ~ empty(X0) ),
inference(resolution,[],[f162,f158]) ).
fof(f294,plain,
( ~ in(powerset(empty_set),empty_set)
| empty(powerset(empty_set)) ),
inference(superposition,[],[f262,f278]) ).
fof(f302,plain,
! [X2,X0,X1] :
( element(X0,X1)
| ~ in(X0,X2)
| ~ in(X2,powerset(X1)) ),
inference(resolution,[],[f161,f156]) ).
fof(f301,plain,
! [X2,X0,X1] :
( element(X0,X1)
| ~ in(X0,X2)
| ~ subset(X2,X1) ),
inference(resolution,[],[f161,f158]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f299,plain,
( empty(powerset(empty_set))
| in(empty_set,powerset(empty_set)) ),
inference(resolution,[],[f296,f154]) ).
fof(f296,plain,
element(empty_set,powerset(empty_set)),
inference(superposition,[],[f152,f278]) ).
fof(f295,plain,
( in(empty_set,powerset(empty_set))
| empty(powerset(empty_set)) ),
inference(superposition,[],[f259,f278]) ).
fof(f278,plain,
empty_set = sK4(powerset(empty_set)),
inference(resolution,[],[f277,f117]) ).
fof(f287,plain,
empty_set = sK4(powerset(empty_set)),
inference(forward_demodulation,[],[f283,f197]) ).
fof(f283,plain,
empty_set = sK4(powerset(sK16)),
inference(resolution,[],[f277,f190]) ).
fof(f286,plain,
empty_set = sK4(powerset(empty_set)),
inference(forward_demodulation,[],[f282,f196]) ).
fof(f282,plain,
empty_set = sK4(powerset(sK15)),
inference(resolution,[],[f277,f185]) ).
fof(f285,plain,
empty_set = sK4(powerset(empty_set)),
inference(forward_demodulation,[],[f281,f195]) ).
fof(f281,plain,
empty_set = sK4(powerset(sK10)),
inference(resolution,[],[f277,f174]) ).
fof(f284,plain,
empty_set = sK4(powerset(empty_set)),
inference(forward_demodulation,[],[f280,f194]) ).
fof(f280,plain,
empty_set = sK4(powerset(sK6)),
inference(resolution,[],[f277,f164]) ).
fof(f279,plain,
! [X0] :
( empty_set = sK4(powerset(sK4(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f277,f273]) ).
fof(f277,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(powerset(X0)) ),
inference(resolution,[],[f273,f133]) ).
fof(f275,plain,
! [X0] :
( ordinal(sK4(powerset(X0)))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f274,f270]) ).
fof(f274,plain,
! [X0] :
( ~ empty(X0)
| ordinal(sK4(powerset(X0)))
| ~ epsilon_transitive(sK4(powerset(X0))) ),
inference(resolution,[],[f271,f137]) ).
fof(f276,plain,
! [X0,X1] :
( ~ empty(X0)
| sK4(powerset(X0)) = X1
| ~ empty(X1) ),
inference(resolution,[],[f273,f159]) ).
fof(f273,plain,
! [X0] :
( empty(sK4(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f267,f259]) ).
fof(f271,plain,
! [X0] :
( epsilon_connected(sK4(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f267,f144]) ).
fof(f270,plain,
! [X0] :
( epsilon_transitive(sK4(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f267,f141]) ).
fof(f272,plain,
! [X0] :
( ~ empty(X0)
| epsilon_connected(sK4(powerset(X0))) ),
inference(resolution,[],[f267,f145]) ).
fof(f267,plain,
! [X0,X1] :
( ~ in(X1,sK4(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f162,f152]) ).
fof(f262,plain,
! [X0] :
( ~ in(X0,sK4(X0))
| empty(X0) ),
inference(resolution,[],[f259,f155]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| ~ in(X1,X2)
| ~ in(X2,powerset(X0)) ),
inference(resolution,[],[f162,f156]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f266,plain,
ordinal(sK4(sK0)),
inference(subsumption_resolution,[],[f265,f192]) ).
fof(f265,plain,
( empty(sK0)
| ordinal(sK4(sK0)) ),
inference(resolution,[],[f259,f114]) ).
fof(f259,plain,
! [X0] :
( in(sK4(X0),X0)
| empty(X0) ),
inference(resolution,[],[f154,f152]) ).
fof(f261,plain,
! [X0,X1] :
( empty(powerset(X0))
| in(X1,powerset(X0))
| ~ subset(X1,X0) ),
inference(resolution,[],[f154,f158]) ).
fof(f154,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f140,plain,
! [X2,X0] :
( subset(X2,X0)
| ~ in(X2,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ( ~ subset(sK1(X0),X0)
& in(sK1(X0),X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f78,f79]) ).
fof(f79,plain,
! [X0] :
( ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) )
=> ( ~ subset(sK1(X0),X0)
& in(sK1(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f257,plain,
! [X0] :
( subset(sK3(powerset(X0)),X0)
| epsilon_connected(powerset(X0)) ),
inference(resolution,[],[f244,f145]) ).
fof(f256,plain,
! [X0] :
( subset(sK2(powerset(X0)),X0)
| epsilon_connected(powerset(X0)) ),
inference(resolution,[],[f244,f144]) ).
fof(f255,plain,
! [X0] :
( subset(sK1(powerset(X0)),X0)
| epsilon_transitive(powerset(X0)) ),
inference(resolution,[],[f244,f141]) ).
fof(f244,plain,
! [X0,X1] :
( ~ in(X0,powerset(X1))
| subset(X0,X1) ),
inference(resolution,[],[f157,f156]) ).
fof(f159,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f158,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f243,plain,
! [X0] : subset(sK4(powerset(X0)),X0),
inference(resolution,[],[f157,f152]) ).
fof(f157,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f148,plain,
! [X0] :
( ~ in(sK3(X0),sK2(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ( epsilon_connected(X0)
| ( ~ in(sK3(X0),sK2(X0))
& sK2(X0) != sK3(X0)
& ~ in(sK2(X0),sK3(X0))
& in(sK3(X0),X0)
& in(sK2(X0),X0) ) )
& ( ! [X3,X4] :
( in(X4,X3)
| X3 = X4
| in(X3,X4)
| ~ in(X4,X0)
| ~ in(X3,X0) )
| ~ epsilon_connected(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f82,f83]) ).
fof(f83,plain,
! [X0] :
( ? [X1,X2] :
( ~ in(X2,X1)
& X1 != X2
& ~ in(X1,X2)
& in(X2,X0)
& in(X1,X0) )
=> ( ~ in(sK3(X0),sK2(X0))
& sK2(X0) != sK3(X0)
& ~ in(sK2(X0),sK3(X0))
& in(sK3(X0),X0)
& in(sK2(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0] :
( ( epsilon_connected(X0)
| ? [X1,X2] :
( ~ in(X2,X1)
& X1 != X2
& ~ in(X1,X2)
& in(X2,X0)
& in(X1,X0) ) )
& ( ! [X3,X4] :
( in(X4,X3)
| X3 = X4
| in(X3,X4)
| ~ in(X4,X0)
| ~ in(X3,X0) )
| ~ epsilon_connected(X0) ) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ( epsilon_connected(X0)
| ? [X1,X2] :
( ~ in(X2,X1)
& X1 != X2
& ~ in(X1,X2)
& in(X2,X0)
& in(X1,X0) ) )
& ( ! [X1,X2] :
( in(X2,X1)
| X1 = X2
| in(X1,X2)
| ~ in(X2,X0)
| ~ in(X1,X0) )
| ~ epsilon_connected(X0) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
( in(X2,X1)
| X1 = X2
| in(X1,X2)
| ~ in(X2,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
~ ( ~ in(X2,X1)
& X1 != X2
& ~ in(X1,X2)
& in(X2,X0)
& in(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_ordinal1) ).
fof(f147,plain,
! [X0] :
( sK2(X0) != sK3(X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f146,plain,
! [X0] :
( ~ in(sK2(X0),sK3(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f242,plain,
! [X0] :
( ~ in(X0,sK3(X0))
| epsilon_connected(X0) ),
inference(resolution,[],[f155,f145]) ).
fof(f241,plain,
! [X0] :
( ~ in(X0,sK2(X0))
| epsilon_connected(X0) ),
inference(resolution,[],[f155,f144]) ).
fof(f240,plain,
! [X0] :
( ~ in(X0,sK1(X0))
| epsilon_transitive(X0) ),
inference(resolution,[],[f155,f141]) ).
fof(f156,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f155,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f145,plain,
! [X0] :
( in(sK3(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f224,plain,
( epsilon_connected(sK0)
| ordinal(sK2(sK0)) ),
inference(resolution,[],[f144,f114]) ).
fof(f144,plain,
! [X0] :
( in(sK2(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f142,plain,
! [X0] :
( ~ subset(sK1(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f211,plain,
( epsilon_transitive(sK0)
| ordinal(sK1(sK0)) ),
inference(resolution,[],[f141,f114]) ).
fof(f141,plain,
! [X0] :
( in(sK1(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f137,plain,
! [X0] :
( ~ epsilon_connected(X0)
| ordinal(X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( epsilon_connected(X0)
& epsilon_transitive(X0) )
=> ordinal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_ordinal1) ).
fof(f197,plain,
empty_set = sK16,
inference(resolution,[],[f133,f190]) ).
fof(f196,plain,
empty_set = sK15,
inference(resolution,[],[f133,f185]) ).
fof(f195,plain,
empty_set = sK10,
inference(resolution,[],[f133,f174]) ).
fof(f194,plain,
empty_set = sK6,
inference(resolution,[],[f133,f164]) ).
fof(f160,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f133,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f115,plain,
! [X1] :
( subset(X1,sK0)
| ~ in(X1,sK0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ~ ordinal(sK0)
& ! [X1] :
( ( subset(X1,sK0)
& ordinal(X1) )
| ~ in(X1,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f52,f75]) ).
fof(f75,plain,
( ? [X0] :
( ~ ordinal(X0)
& ! [X1] :
( ( subset(X1,X0)
& ordinal(X1) )
| ~ in(X1,X0) ) )
=> ( ~ ordinal(sK0)
& ! [X1] :
( ( subset(X1,sK0)
& ordinal(X1) )
| ~ in(X1,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0] :
( ~ ordinal(X0)
& ! [X1] :
( ( subset(X1,X0)
& ordinal(X1) )
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( in(X1,X0)
=> ( subset(X1,X0)
& ordinal(X1) ) )
=> ordinal(X0) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X0] :
( ! [X1] :
( in(X1,X0)
=> ( subset(X1,X0)
& ordinal(X1) ) )
=> ordinal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_ordinal1) ).
fof(f152,plain,
! [X0] : element(sK4(X0),X0),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] : element(sK4(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f14,f87]) ).
fof(f87,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f14,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f192,plain,
~ empty(sK0),
inference(resolution,[],[f136,f116]) ).
fof(f136,plain,
! [X0] :
( ordinal(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( empty(X0)
=> ( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_ordinal1) ).
fof(f135,plain,
! [X0] :
( epsilon_connected(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f134,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f129,plain,
! [X0] :
( epsilon_connected(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ( epsilon_connected(X0)
& epsilon_transitive(X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ordinal(X0)
=> ( epsilon_connected(X0)
& epsilon_transitive(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_ordinal1) ).
fof(f128,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f114,plain,
! [X1] :
( ~ in(X1,sK0)
| ordinal(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f153,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f190,plain,
empty(sK16),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( function(sK16)
& empty(sK16)
& relation(sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f23,f112]) ).
fof(f112,plain,
( ? [X0] :
( function(X0)
& empty(X0)
& relation(X0) )
=> ( function(sK16)
& empty(sK16)
& relation(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f23,axiom,
? [X0] :
( function(X0)
& empty(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f188,plain,
ordinal(sK15),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ordinal(sK15)
& epsilon_connected(sK15)
& epsilon_transitive(sK15)
& empty(sK15)
& function(sK15)
& relation(sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f50,f110]) ).
fof(f110,plain,
( ? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0)
& empty(X0)
& function(X0)
& relation(X0) )
=> ( ordinal(sK15)
& epsilon_connected(sK15)
& epsilon_transitive(sK15)
& empty(sK15)
& function(sK15)
& relation(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0)
& empty(X0)
& function(X0)
& relation(X0) ),
inference(pure_predicate_removal,[],[f24]) ).
fof(f24,axiom,
? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0)
& empty(X0)
& one_to_one(X0)
& function(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_ordinal1) ).
fof(f187,plain,
epsilon_connected(sK15),
inference(cnf_transformation,[],[f111]) ).
fof(f186,plain,
epsilon_transitive(sK15),
inference(cnf_transformation,[],[f111]) ).
fof(f185,plain,
empty(sK15),
inference(cnf_transformation,[],[f111]) ).
fof(f174,plain,
empty(sK10),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( relation(sK10)
& empty(sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f21,f100]) ).
fof(f100,plain,
( ? [X0] :
( relation(X0)
& empty(X0) )
=> ( relation(sK10)
& empty(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f21,axiom,
? [X0] :
( relation(X0)
& empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f173,plain,
ordinal(sK9),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ordinal(sK9)
& epsilon_connected(sK9)
& epsilon_transitive(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f20,f98]) ).
fof(f98,plain,
( ? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0) )
=> ( ordinal(sK9)
& epsilon_connected(sK9)
& epsilon_transitive(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f20,axiom,
? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_ordinal1) ).
fof(f172,plain,
epsilon_connected(sK9),
inference(cnf_transformation,[],[f99]) ).
fof(f171,plain,
epsilon_transitive(sK9),
inference(cnf_transformation,[],[f99]) ).
fof(f169,plain,
~ empty(sK8),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( relation(sK8)
& ~ empty(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f25,f96]) ).
fof(f96,plain,
( ? [X0] :
( relation(X0)
& ~ empty(X0) )
=> ( relation(sK8)
& ~ empty(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f25,axiom,
? [X0] :
( relation(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(f168,plain,
ordinal(sK7),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ordinal(sK7)
& epsilon_connected(sK7)
& epsilon_transitive(sK7)
& ~ empty(sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f28,f94]) ).
fof(f94,plain,
( ? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0)
& ~ empty(X0) )
=> ( ordinal(sK7)
& epsilon_connected(sK7)
& epsilon_transitive(sK7)
& ~ empty(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f28,axiom,
? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_ordinal1) ).
fof(f167,plain,
epsilon_connected(sK7),
inference(cnf_transformation,[],[f95]) ).
fof(f166,plain,
epsilon_transitive(sK7),
inference(cnf_transformation,[],[f95]) ).
fof(f165,plain,
~ empty(sK7),
inference(cnf_transformation,[],[f95]) ).
fof(f164,plain,
empty(sK6),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
empty(sK6),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f22,f92]) ).
fof(f92,plain,
( ? [X0] : empty(X0)
=> empty(sK6) ),
introduced(choice_axiom,[]) ).
fof(f22,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f163,plain,
~ empty(sK5),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
~ empty(sK5),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f26,f90]) ).
fof(f90,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK5) ),
introduced(choice_axiom,[]) ).
fof(f26,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f127,plain,
ordinal(empty_set),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ordinal(empty_set)
& epsilon_connected(empty_set)
& epsilon_transitive(empty_set)
& empty(empty_set)
& function(empty_set)
& relation(empty_set) ),
inference(pure_predicate_removal,[],[f45]) ).
fof(f45,plain,
( ordinal(empty_set)
& epsilon_connected(empty_set)
& epsilon_transitive(empty_set)
& empty(empty_set)
& one_to_one(empty_set)
& function(empty_set)
& relation(empty_set) ),
inference(pure_predicate_removal,[],[f17]) ).
fof(f17,axiom,
( ordinal(empty_set)
& epsilon_connected(empty_set)
& epsilon_transitive(empty_set)
& empty(empty_set)
& one_to_one(empty_set)
& function(empty_set)
& relation_empty_yielding(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_ordinal1) ).
fof(f126,plain,
epsilon_connected(empty_set),
inference(cnf_transformation,[],[f48]) ).
fof(f125,plain,
epsilon_transitive(empty_set),
inference(cnf_transformation,[],[f48]) ).
fof(f117,plain,
empty(empty_set),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f116,plain,
~ ordinal(sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f149,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) )
& ( ( epsilon_connected(X0)
& epsilon_transitive(X0) )
| ~ ordinal(X0) ) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) )
& ( ( epsilon_connected(X0)
& epsilon_transitive(X0) )
| ~ ordinal(X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ordinal(X0)
<=> ( epsilon_connected(X0)
& epsilon_transitive(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_ordinal1) ).
fof(f150,plain,
! [X0] :
( epsilon_connected(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f151,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f143,plain,
! [X3,X0,X4] :
( in(X4,X3)
| X3 = X4
| in(X3,X4)
| ~ in(X4,X0)
| ~ in(X3,X0)
| ~ epsilon_connected(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f124,plain,
empty(empty_set),
inference(cnf_transformation,[],[f48]) ).
fof(f120,plain,
empty(empty_set),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( relation(empty_set)
& empty(empty_set) ),
inference(pure_predicate_removal,[],[f15]) ).
fof(f15,axiom,
( relation_empty_yielding(empty_set)
& relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(f118,plain,
empty(empty_set),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f216,plain,
( ordinal(sK1(sK0))
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f214,plain,
( spl17_1
<=> ordinal(sK1(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f379,plain,
( spl17_2
| ~ spl17_4 ),
inference(avatar_contradiction_clause,[],[f378]) ).
fof(f378,plain,
( $false
| spl17_2
| ~ spl17_4 ),
inference(global_subsumption,[],[f219,f118,f120,f124,f143,f151,f150,f149,f116,f117,f125,f126,f127,f163,f164,f165,f166,f167,f168,f169,f171,f172,f173,f174,f185,f186,f187,f188,f190,f153,f114,f128,f129,f134,f135,f136,f192,f152,f115,f133,f160,f194,f195,f196,f197,f137,f141,f211,f142,f144,f224,f145,f155,f156,f240,f241,f242,f146,f147,f148,f157,f243,f158,f159,f244,f255,f256,f257,f140,f154,f261,f259,f266,f162,f269,f262,f267,f272,f270,f271,f273,f276,f275,f277,f279,f284,f285,f286,f287,f278,f295,f296,f299,f161,f301,f302,f294,f268,f300,f321,f322,f323,f324,f130,f354,f328,f334,f355,f359,f360,f341,f347,f361,f363,f365,f357,f367,f237,f233,f372,f375]) ).
fof(f219,plain,
( ~ epsilon_transitive(sK0)
| spl17_2 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f218,plain,
( spl17_2
<=> epsilon_transitive(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f377,plain,
~ spl17_4,
inference(avatar_contradiction_clause,[],[f376]) ).
fof(f376,plain,
( $false
| ~ spl17_4 ),
inference(global_subsumption,[],[f118,f120,f124,f143,f151,f150,f149,f116,f117,f125,f126,f127,f163,f164,f165,f166,f167,f168,f169,f171,f172,f173,f174,f185,f186,f187,f188,f190,f153,f114,f128,f129,f134,f135,f136,f192,f152,f115,f133,f160,f194,f195,f196,f197,f137,f141,f211,f142,f144,f224,f145,f155,f156,f240,f241,f242,f146,f147,f148,f157,f243,f158,f159,f244,f255,f256,f257,f140,f154,f261,f259,f266,f162,f269,f262,f267,f272,f270,f271,f273,f276,f275,f277,f279,f284,f285,f286,f287,f278,f295,f296,f299,f161,f301,f302,f294,f268,f300,f321,f322,f323,f324,f130,f354,f328,f334,f355,f359,f360,f341,f347,f361,f363,f365,f357,f367,f237,f233,f372,f375]) ).
fof(f374,plain,
( ~ spl17_2
| ~ spl17_4 ),
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f373,plain,
( $false
| ~ spl17_2
| ~ spl17_4 ),
inference(subsumption_resolution,[],[f372,f220]) ).
fof(f220,plain,
( epsilon_transitive(sK0)
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f370,plain,
( ~ spl17_3
| spl17_4 ),
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f369,plain,
( $false
| ~ spl17_3
| spl17_4 ),
inference(subsumption_resolution,[],[f368,f232]) ).
fof(f232,plain,
( ~ epsilon_connected(sK0)
| spl17_4 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f368,plain,
( epsilon_connected(sK0)
| ~ spl17_3
| spl17_4 ),
inference(subsumption_resolution,[],[f366,f229]) ).
fof(f229,plain,
( ordinal(sK2(sK0))
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f227,plain,
( spl17_3
<=> ordinal(sK2(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f366,plain,
( ~ ordinal(sK2(sK0))
| epsilon_connected(sK0)
| spl17_4 ),
inference(resolution,[],[f357,f239]) ).
fof(f239,plain,
( ordinal(sK3(sK0))
| spl17_4 ),
inference(subsumption_resolution,[],[f237,f232]) ).
fof(f312,plain,
( spl17_5
| ~ spl17_6 ),
inference(avatar_split_clause,[],[f294,f309,f305]) ).
fof(f305,plain,
( spl17_5
<=> empty(powerset(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f309,plain,
( spl17_6
<=> in(powerset(empty_set),empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f234,plain,
( spl17_3
| spl17_4 ),
inference(avatar_split_clause,[],[f224,f231,f227]) ).
fof(f221,plain,
( spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f211,f218,f214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU234+1 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 11:26:14 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (26237)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (26240)WARNING: value z3 for option sas not known
% 0.20/0.37 % (26241)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (26239)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (26238)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (26240)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37 % (26242)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.37 % (26243)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.37 % (26244)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.37 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [3]
% 0.20/0.38 TRYING [4]
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [5]
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [3]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [3]
% 0.20/0.38 % (26240)First to succeed.
% 0.20/0.38 TRYING [4]
% 0.20/0.39 TRYING [6]
% 0.20/0.39 % (26240)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26237"
% 0.20/0.39 % (26240)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Theorem for theBenchmark
% 0.20/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39 % (26240)------------------------------
% 0.20/0.39 % (26240)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.39 % (26240)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (26240)Memory used [KB]: 969
% 0.20/0.39 % (26240)Time elapsed: 0.014 s
% 0.20/0.39 % (26240)Instructions burned: 18 (million)
% 0.20/0.39 % (26237)Success in time 0.03 s
%------------------------------------------------------------------------------