TSTP Solution File: SEU106+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU106+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 : Tue Apr 30 15:22:13 EDT 2024
% Result : Theorem 16.13s 2.64s
% Output : Refutation 16.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 86
% Syntax : Number of formulae : 480 ( 68 unt; 0 def)
% Number of atoms : 1197 ( 62 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1151 ( 434 ~; 514 |; 121 &)
% ( 54 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 64 ( 62 usr; 49 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 2 con; 0-2 aty)
% Number of variables : 431 ( 400 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52687,plain,
$false,
inference(avatar_sat_refutation,[],[f329,f339,f390,f486,f2557,f2678,f2689,f2702,f2731,f2792,f2837,f2853,f2864,f2984,f43839,f47257,f47352,f47365,f47460,f47613,f47708,f47721,f47816,f47829,f47924,f48077,f48172,f48185,f48280,f48293,f48528,f48541,f48636,f48971,f49035,f52221,f52287,f52299,f52652,f52656,f52661,f52682,f52686]) ).
fof(f52686,plain,
( spl14_19
| spl14_47
| ~ spl14_48 ),
inference(avatar_contradiction_clause,[],[f52685]) ).
fof(f52685,plain,
( $false
| spl14_19
| spl14_47
| ~ spl14_48 ),
inference(subsumption_resolution,[],[f52684,f43835]) ).
fof(f43835,plain,
( ~ sP0(sK1)
| spl14_19 ),
inference(avatar_component_clause,[],[f43833]) ).
fof(f43833,plain,
( spl14_19
<=> sP0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_19])]) ).
fof(f52684,plain,
( sP0(sK1)
| spl14_47
| ~ spl14_48 ),
inference(resolution,[],[f52683,f151]) ).
fof(f151,plain,
! [X0] :
( in(sK6(X0),X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ( sP0(X0)
| ( ( ~ in(set_difference(sK5(X0),sK6(X0)),X0)
| ~ in(set_union2(sK5(X0),sK6(X0)),X0) )
& in(sK6(X0),X0)
& in(sK5(X0),X0) ) )
& ( ! [X3,X4] :
( ( in(set_difference(X3,X4),X0)
& in(set_union2(X3,X4),X0) )
| ~ in(X4,X0)
| ~ in(X3,X0) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f105,f106]) ).
fof(f106,plain,
! [X0] :
( ? [X1,X2] :
( ( ~ in(set_difference(X1,X2),X0)
| ~ in(set_union2(X1,X2),X0) )
& in(X2,X0)
& in(X1,X0) )
=> ( ( ~ in(set_difference(sK5(X0),sK6(X0)),X0)
| ~ in(set_union2(sK5(X0),sK6(X0)),X0) )
& in(sK6(X0),X0)
& in(sK5(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2] :
( ( ~ in(set_difference(X1,X2),X0)
| ~ in(set_union2(X1,X2),X0) )
& in(X2,X0)
& in(X1,X0) ) )
& ( ! [X3,X4] :
( ( in(set_difference(X3,X4),X0)
& in(set_union2(X3,X4),X0) )
| ~ in(X4,X0)
| ~ in(X3,X0) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2] :
( ( ~ in(set_difference(X1,X2),X0)
| ~ in(set_union2(X1,X2),X0) )
& in(X2,X0)
& in(X1,X0) ) )
& ( ! [X1,X2] :
( ( in(set_difference(X1,X2),X0)
& in(set_union2(X1,X2),X0) )
| ~ in(X2,X0)
| ~ in(X1,X0) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( sP0(X0)
<=> ! [X1,X2] :
( ( in(set_difference(X1,X2),X0)
& in(set_union2(X1,X2),X0) )
| ~ in(X2,X0)
| ~ in(X1,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f52683,plain,
( ~ in(sK6(sK1),sK1)
| spl14_47
| ~ spl14_48 ),
inference(resolution,[],[f52678,f176]) ).
fof(f176,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f52678,plain,
( ~ element(sK6(sK1),sK1)
| spl14_47
| ~ spl14_48 ),
inference(subsumption_resolution,[],[f52677,f52650]) ).
fof(f52650,plain,
( element(sK5(sK1),sK1)
| ~ spl14_48 ),
inference(avatar_component_clause,[],[f52649]) ).
fof(f52649,plain,
( spl14_48
<=> element(sK5(sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_48])]) ).
fof(f52677,plain,
( ~ element(sK6(sK1),sK1)
| ~ element(sK5(sK1),sK1)
| spl14_47 ),
inference(resolution,[],[f52647,f43762]) ).
fof(f43762,plain,
! [X0,X1] :
( in(set_intersection2(X0,X1),sK1)
| ~ element(X1,sK1)
| ~ element(X0,sK1) ),
inference(subsumption_resolution,[],[f43707,f125]) ).
fof(f125,plain,
! [X2,X1] :
( in(set_union2(X1,X2),sK1)
| ~ element(X2,sK1)
| ~ element(X1,sK1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ~ preboolean(sK1)
& ! [X1] :
( ! [X2] :
( ( in(set_union2(X1,X2),sK1)
& in(symmetric_difference(X1,X2),sK1) )
| ~ element(X2,sK1) )
| ~ element(X1,sK1) )
& ~ empty(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f63,f96]) ).
fof(f96,plain,
( ? [X0] :
( ~ preboolean(X0)
& ! [X1] :
( ! [X2] :
( ( in(set_union2(X1,X2),X0)
& in(symmetric_difference(X1,X2),X0) )
| ~ element(X2,X0) )
| ~ element(X1,X0) )
& ~ empty(X0) )
=> ( ~ preboolean(sK1)
& ! [X1] :
( ! [X2] :
( ( in(set_union2(X1,X2),sK1)
& in(symmetric_difference(X1,X2),sK1) )
| ~ element(X2,sK1) )
| ~ element(X1,sK1) )
& ~ empty(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
? [X0] :
( ~ preboolean(X0)
& ! [X1] :
( ! [X2] :
( ( in(set_union2(X1,X2),X0)
& in(symmetric_difference(X1,X2),X0) )
| ~ element(X2,X0) )
| ~ element(X1,X0) )
& ~ empty(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
? [X0] :
( ~ preboolean(X0)
& ! [X1] :
( ! [X2] :
( ( in(set_union2(X1,X2),X0)
& in(symmetric_difference(X1,X2),X0) )
| ~ element(X2,X0) )
| ~ element(X1,X0) )
& ~ empty(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,negated_conjecture,
~ ! [X0] :
( ~ empty(X0)
=> ( ! [X1] :
( element(X1,X0)
=> ! [X2] :
( element(X2,X0)
=> ( in(set_union2(X1,X2),X0)
& in(symmetric_difference(X1,X2),X0) ) ) )
=> preboolean(X0) ) ),
inference(negated_conjecture,[],[f34]) ).
fof(f34,conjecture,
! [X0] :
( ~ empty(X0)
=> ( ! [X1] :
( element(X1,X0)
=> ! [X2] :
( element(X2,X0)
=> ( in(set_union2(X1,X2),X0)
& in(symmetric_difference(X1,X2),X0) ) ) )
=> preboolean(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_finsub_1) ).
fof(f43707,plain,
! [X0,X1] :
( in(set_intersection2(X0,X1),sK1)
| ~ in(set_union2(X0,X1),sK1)
| ~ element(X1,sK1)
| ~ element(X0,sK1) ),
inference(resolution,[],[f6869,f124]) ).
fof(f124,plain,
! [X2,X1] :
( in(symmetric_difference(X1,X2),sK1)
| ~ element(X2,sK1)
| ~ element(X1,sK1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f6869,plain,
! [X0,X1] :
( ~ in(symmetric_difference(X0,X1),sK1)
| in(set_intersection2(X0,X1),sK1)
| ~ in(set_union2(X0,X1),sK1) ),
inference(resolution,[],[f1607,f176]) ).
fof(f1607,plain,
! [X0,X1] :
( ~ element(set_union2(X0,X1),sK1)
| in(set_intersection2(X0,X1),sK1)
| ~ in(symmetric_difference(X0,X1),sK1) ),
inference(resolution,[],[f458,f176]) ).
fof(f458,plain,
! [X0,X1] :
( ~ element(symmetric_difference(X0,X1),sK1)
| ~ element(set_union2(X0,X1),sK1)
| in(set_intersection2(X0,X1),sK1) ),
inference(superposition,[],[f124,f168]) ).
fof(f168,plain,
! [X0,X1] : set_intersection2(X0,X1) = symmetric_difference(symmetric_difference(X0,X1),set_union2(X0,X1)),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] : set_intersection2(X0,X1) = symmetric_difference(symmetric_difference(X0,X1),set_union2(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t95_xboole_1) ).
fof(f52647,plain,
( ~ in(set_intersection2(sK5(sK1),sK6(sK1)),sK1)
| spl14_47 ),
inference(avatar_component_clause,[],[f52645]) ).
fof(f52645,plain,
( spl14_47
<=> in(set_intersection2(sK5(sK1),sK6(sK1)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_47])]) ).
fof(f52682,plain,
( spl14_19
| spl14_46
| ~ spl14_48 ),
inference(avatar_contradiction_clause,[],[f52681]) ).
fof(f52681,plain,
( $false
| spl14_19
| spl14_46
| ~ spl14_48 ),
inference(subsumption_resolution,[],[f52680,f43835]) ).
fof(f52680,plain,
( sP0(sK1)
| spl14_46
| ~ spl14_48 ),
inference(resolution,[],[f52679,f151]) ).
fof(f52679,plain,
( ~ in(sK6(sK1),sK1)
| spl14_46
| ~ spl14_48 ),
inference(resolution,[],[f52676,f176]) ).
fof(f52676,plain,
( ~ element(sK6(sK1),sK1)
| spl14_46
| ~ spl14_48 ),
inference(subsumption_resolution,[],[f52674,f52650]) ).
fof(f52674,plain,
( ~ element(sK6(sK1),sK1)
| ~ element(sK5(sK1),sK1)
| spl14_46 ),
inference(resolution,[],[f52643,f125]) ).
fof(f52643,plain,
( ~ in(set_union2(sK5(sK1),sK6(sK1)),sK1)
| spl14_46 ),
inference(avatar_component_clause,[],[f52641]) ).
fof(f52641,plain,
( spl14_46
<=> in(set_union2(sK5(sK1),sK6(sK1)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_46])]) ).
fof(f52661,plain,
~ spl14_19,
inference(avatar_contradiction_clause,[],[f52660]) ).
fof(f52660,plain,
( $false
| ~ spl14_19 ),
inference(subsumption_resolution,[],[f52659,f126]) ).
fof(f126,plain,
~ preboolean(sK1),
inference(cnf_transformation,[],[f97]) ).
fof(f52659,plain,
( preboolean(sK1)
| ~ spl14_19 ),
inference(resolution,[],[f43834,f154]) ).
fof(f154,plain,
! [X0] :
( ~ sP0(X0)
| preboolean(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ( preboolean(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ preboolean(X0) ) ),
inference(nnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( preboolean(X0)
<=> sP0(X0) ),
inference(definition_folding,[],[f74,f94]) ).
fof(f74,plain,
! [X0] :
( preboolean(X0)
<=> ! [X1,X2] :
( ( in(set_difference(X1,X2),X0)
& in(set_union2(X1,X2),X0) )
| ~ in(X2,X0)
| ~ in(X1,X0) ) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0] :
( preboolean(X0)
<=> ! [X1,X2] :
( ( in(set_difference(X1,X2),X0)
& in(set_union2(X1,X2),X0) )
| ~ in(X2,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( preboolean(X0)
<=> ! [X1,X2] :
( ( in(X2,X0)
& in(X1,X0) )
=> ( in(set_difference(X1,X2),X0)
& in(set_union2(X1,X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_finsub_1) ).
fof(f43834,plain,
( sP0(sK1)
| ~ spl14_19 ),
inference(avatar_component_clause,[],[f43833]) ).
fof(f52656,plain,
( spl14_19
| spl14_48 ),
inference(avatar_contradiction_clause,[],[f52655]) ).
fof(f52655,plain,
( $false
| spl14_19
| spl14_48 ),
inference(subsumption_resolution,[],[f52654,f43835]) ).
fof(f52654,plain,
( sP0(sK1)
| spl14_48 ),
inference(resolution,[],[f52653,f150]) ).
fof(f150,plain,
! [X0] :
( in(sK5(X0),X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f52653,plain,
( ~ in(sK5(sK1),sK1)
| spl14_48 ),
inference(resolution,[],[f52651,f176]) ).
fof(f52651,plain,
( ~ element(sK5(sK1),sK1)
| spl14_48 ),
inference(avatar_component_clause,[],[f52649]) ).
fof(f52652,plain,
( ~ spl14_46
| ~ spl14_47
| ~ spl14_48
| spl14_19 ),
inference(avatar_split_clause,[],[f52639,f43833,f52649,f52645,f52641]) ).
fof(f52639,plain,
( ~ element(sK5(sK1),sK1)
| ~ in(set_intersection2(sK5(sK1),sK6(sK1)),sK1)
| ~ in(set_union2(sK5(sK1),sK6(sK1)),sK1)
| spl14_19 ),
inference(subsumption_resolution,[],[f2380,f43835]) ).
fof(f2380,plain,
( ~ element(sK5(sK1),sK1)
| ~ in(set_intersection2(sK5(sK1),sK6(sK1)),sK1)
| sP0(sK1)
| ~ in(set_union2(sK5(sK1),sK6(sK1)),sK1) ),
inference(resolution,[],[f816,f152]) ).
fof(f152,plain,
! [X0] :
( ~ in(set_difference(sK5(X0),sK6(X0)),X0)
| sP0(X0)
| ~ in(set_union2(sK5(X0),sK6(X0)),X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f816,plain,
! [X0,X1] :
( in(set_difference(X0,X1),sK1)
| ~ element(X0,sK1)
| ~ in(set_intersection2(X0,X1),sK1) ),
inference(resolution,[],[f361,f176]) ).
fof(f361,plain,
! [X0,X1] :
( ~ element(set_intersection2(X0,X1),sK1)
| in(set_difference(X0,X1),sK1)
| ~ element(X0,sK1) ),
inference(superposition,[],[f124,f167]) ).
fof(f167,plain,
! [X0,X1] : set_difference(X0,X1) = symmetric_difference(X0,set_intersection2(X0,X1)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] : set_difference(X0,X1) = symmetric_difference(X0,set_intersection2(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t100_xboole_1) ).
fof(f52299,plain,
spl14_44,
inference(avatar_contradiction_clause,[],[f52298]) ).
fof(f52298,plain,
( $false
| spl14_44 ),
inference(subsumption_resolution,[],[f52297,f280]) ).
fof(f280,plain,
! [X0] : in(empty_set,powerset(X0)),
inference(subsumption_resolution,[],[f274,f128]) ).
fof(f128,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f274,plain,
! [X0] :
( empty(powerset(X0))
| in(empty_set,powerset(X0)) ),
inference(resolution,[],[f177,f202]) ).
fof(f202,plain,
! [X0] : element(empty_set,powerset(X0)),
inference(forward_demodulation,[],[f156,f195]) ).
fof(f195,plain,
! [X0] : empty_set = sK8(X0),
inference(resolution,[],[f145,f157]) ).
fof(f157,plain,
! [X0] : empty(sK8(X0)),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( empty(sK8(X0))
& element(sK8(X0),powerset(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f27,f111]) ).
fof(f111,plain,
! [X0] :
( ? [X1] :
( empty(X1)
& element(X1,powerset(X0)) )
=> ( empty(sK8(X0))
& element(sK8(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f27,axiom,
! [X0] :
? [X1] :
( empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f145,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f156,plain,
! [X0] : element(sK8(X0),powerset(X0)),
inference(cnf_transformation,[],[f112]) ).
fof(f177,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f52297,plain,
( ~ in(empty_set,powerset(empty_set))
| spl14_44 ),
inference(forward_demodulation,[],[f52296,f52227]) ).
fof(f52227,plain,
( empty_set = sK5(powerset(empty_set))
| spl14_44 ),
inference(subsumption_resolution,[],[f52223,f127]) ).
fof(f127,plain,
empty(empty_set),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f52223,plain,
( ~ empty(empty_set)
| empty_set = sK5(powerset(empty_set))
| spl14_44 ),
inference(resolution,[],[f52217,f2737]) ).
fof(f2737,plain,
! [X0] :
( sP0(powerset(X0))
| ~ empty(X0)
| empty_set = sK5(powerset(X0)) ),
inference(resolution,[],[f2706,f145]) ).
fof(f2706,plain,
! [X0] :
( empty(sK5(powerset(X0)))
| sP0(powerset(X0))
| ~ empty(X0) ),
inference(resolution,[],[f539,f278]) ).
fof(f278,plain,
! [X0] :
( in(sK7(X0),X0)
| empty(X0) ),
inference(resolution,[],[f177,f155]) ).
fof(f155,plain,
! [X0] : element(sK7(X0),X0),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] : element(sK7(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f10,f109]) ).
fof(f109,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK7(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f10,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f539,plain,
! [X0,X1] :
( ~ in(X0,sK5(powerset(X1)))
| ~ empty(X1)
| sP0(powerset(X1)) ),
inference(resolution,[],[f378,f150]) ).
fof(f378,plain,
! [X2,X0,X1] :
( ~ in(X2,powerset(X0))
| ~ in(X1,X2)
| ~ empty(X0) ),
inference(resolution,[],[f184,f176]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f52217,plain,
( ~ sP0(powerset(empty_set))
| spl14_44 ),
inference(avatar_component_clause,[],[f52215]) ).
fof(f52215,plain,
( spl14_44
<=> sP0(powerset(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_44])]) ).
fof(f52296,plain,
( ~ in(sK5(powerset(empty_set)),powerset(empty_set))
| spl14_44 ),
inference(forward_demodulation,[],[f52295,f133]) ).
fof(f133,plain,
! [X0] : set_union2(X0,empty_set) = X0,
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] : set_union2(X0,empty_set) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_boole) ).
fof(f52295,plain,
( ~ in(set_union2(sK5(powerset(empty_set)),empty_set),powerset(empty_set))
| spl14_44 ),
inference(forward_demodulation,[],[f52294,f52226]) ).
fof(f52226,plain,
( empty_set = sK6(powerset(empty_set))
| spl14_44 ),
inference(subsumption_resolution,[],[f52222,f127]) ).
fof(f52222,plain,
( ~ empty(empty_set)
| empty_set = sK6(powerset(empty_set))
| spl14_44 ),
inference(resolution,[],[f52217,f2764]) ).
fof(f2764,plain,
! [X0] :
( sP0(powerset(X0))
| ~ empty(X0)
| empty_set = sK6(powerset(X0)) ),
inference(resolution,[],[f2748,f145]) ).
fof(f2748,plain,
! [X0] :
( empty(sK6(powerset(X0)))
| sP0(powerset(X0))
| ~ empty(X0) ),
inference(resolution,[],[f540,f278]) ).
fof(f540,plain,
! [X0,X1] :
( ~ in(X0,sK6(powerset(X1)))
| ~ empty(X1)
| sP0(powerset(X1)) ),
inference(resolution,[],[f378,f151]) ).
fof(f52294,plain,
( ~ in(set_union2(sK5(powerset(empty_set)),sK6(powerset(empty_set))),powerset(empty_set))
| spl14_44 ),
inference(subsumption_resolution,[],[f52293,f280]) ).
fof(f52293,plain,
( ~ in(empty_set,powerset(empty_set))
| ~ in(set_union2(sK5(powerset(empty_set)),sK6(powerset(empty_set))),powerset(empty_set))
| spl14_44 ),
inference(forward_demodulation,[],[f52292,f129]) ).
fof(f129,plain,
! [X0] : empty_set = set_difference(empty_set,X0),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] : empty_set = set_difference(empty_set,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_boole) ).
fof(f52292,plain,
( ~ in(set_difference(empty_set,sK6(powerset(empty_set))),powerset(empty_set))
| ~ in(set_union2(sK5(powerset(empty_set)),sK6(powerset(empty_set))),powerset(empty_set))
| spl14_44 ),
inference(subsumption_resolution,[],[f52276,f52217]) ).
fof(f52276,plain,
( ~ in(set_difference(empty_set,sK6(powerset(empty_set))),powerset(empty_set))
| sP0(powerset(empty_set))
| ~ in(set_union2(sK5(powerset(empty_set)),sK6(powerset(empty_set))),powerset(empty_set))
| spl14_44 ),
inference(superposition,[],[f152,f52227]) ).
fof(f52287,plain,
spl14_44,
inference(avatar_contradiction_clause,[],[f52286]) ).
fof(f52286,plain,
( $false
| spl14_44 ),
inference(subsumption_resolution,[],[f52285,f161]) ).
fof(f161,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f52285,plain,
( ~ subset(empty_set,empty_set)
| spl14_44 ),
inference(forward_demodulation,[],[f52284,f52227]) ).
fof(f52284,plain,
( ~ subset(sK5(powerset(empty_set)),empty_set)
| spl14_44 ),
inference(forward_demodulation,[],[f52283,f131]) ).
fof(f131,plain,
! [X0] : set_difference(X0,empty_set) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : set_difference(X0,empty_set) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_boole) ).
fof(f52283,plain,
( ~ subset(set_difference(sK5(powerset(empty_set)),empty_set),empty_set)
| spl14_44 ),
inference(forward_demodulation,[],[f52282,f52226]) ).
fof(f52282,plain,
( ~ subset(set_difference(sK5(powerset(empty_set)),sK6(powerset(empty_set))),empty_set)
| spl14_44 ),
inference(subsumption_resolution,[],[f52281,f280]) ).
fof(f52281,plain,
( ~ in(empty_set,powerset(empty_set))
| ~ subset(set_difference(sK5(powerset(empty_set)),sK6(powerset(empty_set))),empty_set)
| spl14_44 ),
inference(forward_demodulation,[],[f52280,f52226]) ).
fof(f52280,plain,
( ~ in(sK6(powerset(empty_set)),powerset(empty_set))
| ~ subset(set_difference(sK5(powerset(empty_set)),sK6(powerset(empty_set))),empty_set)
| spl14_44 ),
inference(forward_demodulation,[],[f52279,f243]) ).
fof(f243,plain,
! [X0] : set_union2(empty_set,X0) = X0,
inference(superposition,[],[f166,f133]) ).
fof(f166,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f52279,plain,
( ~ in(set_union2(empty_set,sK6(powerset(empty_set))),powerset(empty_set))
| ~ subset(set_difference(sK5(powerset(empty_set)),sK6(powerset(empty_set))),empty_set)
| spl14_44 ),
inference(subsumption_resolution,[],[f52265,f52217]) ).
fof(f52265,plain,
( ~ in(set_union2(empty_set,sK6(powerset(empty_set))),powerset(empty_set))
| sP0(powerset(empty_set))
| ~ subset(set_difference(sK5(powerset(empty_set)),sK6(powerset(empty_set))),empty_set)
| spl14_44 ),
inference(superposition,[],[f706,f52227]) ).
fof(f706,plain,
! [X0] :
( ~ in(set_union2(sK5(powerset(X0)),sK6(powerset(X0))),powerset(X0))
| sP0(powerset(X0))
| ~ subset(set_difference(sK5(powerset(X0)),sK6(powerset(X0))),X0) ),
inference(resolution,[],[f152,f279]) ).
fof(f279,plain,
! [X0,X1] :
( in(X1,powerset(X0))
| ~ subset(X1,X0) ),
inference(subsumption_resolution,[],[f273,f128]) ).
fof(f273,plain,
! [X0,X1] :
( empty(powerset(X0))
| in(X1,powerset(X0))
| ~ subset(X1,X0) ),
inference(resolution,[],[f177,f180]) ).
fof(f180,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( subset(X0,X1)
=> element(X0,powerset(X1)) ),
inference(unused_predicate_definition_removal,[],[f41]) ).
fof(f41,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f52221,plain,
( ~ spl14_44
| spl14_45 ),
inference(avatar_split_clause,[],[f52213,f52219,f52215]) ).
fof(f52219,plain,
( spl14_45
<=> ! [X0] :
( finite(X0)
| ~ in(X0,powerset(empty_set)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_45])]) ).
fof(f52213,plain,
! [X0] :
( finite(X0)
| ~ sP0(powerset(empty_set))
| ~ in(X0,powerset(empty_set)) ),
inference(forward_demodulation,[],[f52212,f243]) ).
fof(f52212,plain,
! [X0] :
( finite(set_union2(empty_set,X0))
| ~ sP0(powerset(empty_set))
| ~ in(X0,powerset(empty_set)) ),
inference(subsumption_resolution,[],[f52207,f200]) ).
fof(f200,plain,
finite(empty_set),
inference(superposition,[],[f160,f196]) ).
fof(f196,plain,
! [X0] : empty_set = sK9(X0),
inference(resolution,[],[f145,f159]) ).
fof(f159,plain,
! [X0] : empty(sK9(X0)),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( finite(sK9(X0))
& empty(sK9(X0))
& element(sK9(X0),powerset(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f60,f113]) ).
fof(f113,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& empty(X1)
& element(X1,powerset(X0)) )
=> ( finite(sK9(X0))
& empty(sK9(X0))
& element(sK9(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
? [X1] :
( finite(X1)
& empty(X1)
& element(X1,powerset(X0)) ),
inference(pure_predicate_removal,[],[f59]) ).
fof(f59,plain,
! [X0] :
? [X1] :
( finite(X1)
& relation(X1)
& empty(X1)
& element(X1,powerset(X0)) ),
inference(pure_predicate_removal,[],[f58]) ).
fof(f58,plain,
! [X0] :
? [X1] :
( finite(X1)
& function(X1)
& relation(X1)
& empty(X1)
& element(X1,powerset(X0)) ),
inference(pure_predicate_removal,[],[f57]) ).
fof(f57,plain,
! [X0] :
? [X1] :
( finite(X1)
& one_to_one(X1)
& function(X1)
& relation(X1)
& empty(X1)
& element(X1,powerset(X0)) ),
inference(pure_predicate_removal,[],[f56]) ).
fof(f56,plain,
! [X0] :
? [X1] :
( finite(X1)
& epsilon_transitive(X1)
& one_to_one(X1)
& function(X1)
& relation(X1)
& empty(X1)
& element(X1,powerset(X0)) ),
inference(pure_predicate_removal,[],[f55]) ).
fof(f55,plain,
! [X0] :
? [X1] :
( finite(X1)
& epsilon_connected(X1)
& epsilon_transitive(X1)
& one_to_one(X1)
& function(X1)
& relation(X1)
& empty(X1)
& element(X1,powerset(X0)) ),
inference(pure_predicate_removal,[],[f54]) ).
fof(f54,plain,
! [X0] :
? [X1] :
( finite(X1)
& ordinal(X1)
& epsilon_connected(X1)
& epsilon_transitive(X1)
& one_to_one(X1)
& function(X1)
& relation(X1)
& empty(X1)
& element(X1,powerset(X0)) ),
inference(pure_predicate_removal,[],[f26]) ).
fof(f26,axiom,
! [X0] :
? [X1] :
( finite(X1)
& natural(X1)
& ordinal(X1)
& epsilon_connected(X1)
& epsilon_transitive(X1)
& one_to_one(X1)
& function(X1)
& relation(X1)
& empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_finset_1) ).
fof(f160,plain,
! [X0] : finite(sK9(X0)),
inference(cnf_transformation,[],[f114]) ).
fof(f52207,plain,
! [X0] :
( finite(set_union2(empty_set,X0))
| ~ sP0(powerset(empty_set))
| ~ finite(empty_set)
| ~ in(X0,powerset(empty_set)) ),
inference(superposition,[],[f8111,f408]) ).
fof(f408,plain,
empty_set = sK7(powerset(empty_set)),
inference(resolution,[],[f407,f127]) ).
fof(f407,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK7(powerset(X0)) ),
inference(resolution,[],[f397,f145]) ).
fof(f397,plain,
! [X0] :
( empty(sK7(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f383,f278]) ).
fof(f383,plain,
! [X0,X1] :
( ~ in(X1,sK7(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f184,f155]) ).
fof(f8111,plain,
! [X0,X1] :
( finite(set_union2(sK7(powerset(X1)),X0))
| ~ sP0(powerset(X1))
| ~ finite(X1)
| ~ in(X0,powerset(X1)) ),
inference(subsumption_resolution,[],[f8052,f128]) ).
fof(f8052,plain,
! [X0,X1] :
( ~ in(X0,powerset(X1))
| ~ sP0(powerset(X1))
| ~ finite(X1)
| finite(set_union2(sK7(powerset(X1)),X0))
| empty(powerset(X1)) ),
inference(resolution,[],[f575,f278]) ).
fof(f575,plain,
! [X2,X0,X1] :
( ~ in(X2,powerset(X1))
| ~ in(X0,powerset(X1))
| ~ sP0(powerset(X1))
| ~ finite(X1)
| finite(set_union2(X2,X0)) ),
inference(resolution,[],[f148,f265]) ).
fof(f265,plain,
! [X0,X1] :
( ~ in(X0,powerset(X1))
| ~ finite(X1)
| finite(X0) ),
inference(resolution,[],[f146,f176]) ).
fof(f146,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| finite(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( finite(X1)
| ~ element(X1,powerset(X0)) )
| ~ finite(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( finite(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> finite(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_finset_1) ).
fof(f148,plain,
! [X3,X0,X4] :
( in(set_union2(X3,X4),X0)
| ~ in(X4,X0)
| ~ in(X3,X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f49035,plain,
( ~ spl14_42
| spl14_43
| spl14_41 ),
inference(avatar_split_clause,[],[f49025,f48968,f49032,f49028]) ).
fof(f49028,plain,
( spl14_42
<=> in(sK1,sK5(sK6(powerset(sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_42])]) ).
fof(f49032,plain,
( spl14_43
<=> sP0(sK6(powerset(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_43])]) ).
fof(f48968,plain,
( spl14_41
<=> sP0(powerset(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_41])]) ).
fof(f49025,plain,
( sP0(sK6(powerset(sK1)))
| ~ in(sK1,sK5(sK6(powerset(sK1))))
| spl14_41 ),
inference(subsumption_resolution,[],[f49022,f48969]) ).
fof(f48969,plain,
( ~ sP0(powerset(sK1))
| spl14_41 ),
inference(avatar_component_clause,[],[f48968]) ).
fof(f49022,plain,
( sP0(powerset(sK1))
| sP0(sK6(powerset(sK1)))
| ~ in(sK1,sK5(sK6(powerset(sK1)))) ),
inference(resolution,[],[f3573,f353]) ).
fof(f353,plain,
! [X0] :
( ~ element(X0,sK1)
| ~ in(sK1,X0) ),
inference(duplicate_literal_removal,[],[f349]) ).
fof(f349,plain,
! [X0] :
( ~ in(sK1,X0)
| ~ element(X0,sK1)
| ~ element(X0,sK1) ),
inference(superposition,[],[f331,f163]) ).
fof(f163,plain,
! [X0] : set_union2(X0,X0) = X0,
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] : set_union2(X0,X0) = X0,
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X0,X1] : set_union2(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
fof(f331,plain,
! [X0,X1] :
( ~ in(sK1,set_union2(X1,X0))
| ~ element(X1,sK1)
| ~ element(X0,sK1) ),
inference(resolution,[],[f125,f175]) ).
fof(f175,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,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/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f3573,plain,
! [X0] :
( element(sK5(sK6(powerset(X0))),X0)
| sP0(powerset(X0))
| sP0(sK6(powerset(X0))) ),
inference(resolution,[],[f856,f150]) ).
fof(f856,plain,
! [X0,X1] :
( ~ in(X0,sK6(powerset(X1)))
| element(X0,X1)
| sP0(powerset(X1)) ),
inference(resolution,[],[f400,f151]) ).
fof(f400,plain,
! [X2,X0,X1] :
( ~ in(X2,powerset(X1))
| ~ in(X0,X2)
| element(X0,X1) ),
inference(resolution,[],[f183,f176]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f48971,plain,
( ~ spl14_39
| spl14_40
| spl14_41 ),
inference(avatar_split_clause,[],[f48956,f48968,f48964,f48960]) ).
fof(f48960,plain,
( spl14_39
<=> in(sK1,sK5(sK5(powerset(sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_39])]) ).
fof(f48964,plain,
( spl14_40
<=> sP0(sK5(powerset(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_40])]) ).
fof(f48956,plain,
( sP0(powerset(sK1))
| sP0(sK5(powerset(sK1)))
| ~ in(sK1,sK5(sK5(powerset(sK1)))) ),
inference(resolution,[],[f3364,f353]) ).
fof(f3364,plain,
! [X0] :
( element(sK5(sK5(powerset(X0))),X0)
| sP0(powerset(X0))
| sP0(sK5(powerset(X0))) ),
inference(resolution,[],[f855,f150]) ).
fof(f855,plain,
! [X0,X1] :
( ~ in(X0,sK5(powerset(X1)))
| element(X0,X1)
| sP0(powerset(X1)) ),
inference(resolution,[],[f400,f150]) ).
fof(f48636,plain,
( spl14_15
| ~ spl14_37 ),
inference(avatar_contradiction_clause,[],[f48635]) ).
fof(f48635,plain,
( $false
| spl14_15
| ~ spl14_37 ),
inference(subsumption_resolution,[],[f48542,f2847]) ).
fof(f2847,plain,
( ~ empty(sK4(powerset(empty_set)))
| spl14_15 ),
inference(avatar_component_clause,[],[f2846]) ).
fof(f2846,plain,
( spl14_15
<=> empty(sK4(powerset(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
fof(f48542,plain,
( empty(sK4(powerset(empty_set)))
| ~ spl14_37 ),
inference(resolution,[],[f48536,f140]) ).
fof(f140,plain,
! [X0] :
( ~ empty(sK4(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ( finite(sK4(X0))
& ~ empty(sK4(X0))
& element(sK4(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f66,f102]) ).
fof(f102,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( finite(sK4(X0))
& ~ empty(sK4(X0))
& element(sK4(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_finset_1) ).
fof(f48536,plain,
( empty(sK4(sK4(powerset(empty_set))))
| ~ spl14_37 ),
inference(avatar_component_clause,[],[f48534]) ).
fof(f48534,plain,
( spl14_37
<=> empty(sK4(sK4(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_37])]) ).
fof(f48541,plain,
( spl14_37
| spl14_38 ),
inference(avatar_split_clause,[],[f3323,f48538,f48534]) ).
fof(f48538,plain,
( spl14_38
<=> in(empty_set,sK4(sK4(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_38])]) ).
fof(f3323,plain,
( in(empty_set,sK4(sK4(powerset(empty_set))))
| empty(sK4(sK4(powerset(empty_set)))) ),
inference(superposition,[],[f278,f3289]) ).
fof(f3289,plain,
empty_set = sK7(sK4(sK4(powerset(empty_set)))),
inference(resolution,[],[f2044,f127]) ).
fof(f2044,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK7(sK4(sK4(powerset(X0)))) ),
inference(resolution,[],[f1929,f145]) ).
fof(f1929,plain,
! [X0] :
( empty(sK7(sK4(sK4(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1026,f278]) ).
fof(f1026,plain,
! [X0,X1] :
( ~ in(X1,sK7(sK4(sK4(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1019,f128]) ).
fof(f1019,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK7(sK4(sK4(powerset(X0))))) ),
inference(resolution,[],[f801,f184]) ).
fof(f801,plain,
! [X0] :
( element(sK7(sK4(sK4(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f793,f140]) ).
fof(f793,plain,
! [X0] :
( empty(sK4(X0))
| element(sK7(sK4(sK4(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f776,f404]) ).
fof(f404,plain,
! [X0,X1] :
( ~ in(X0,sK4(X1))
| element(X0,X1)
| empty(X1) ),
inference(resolution,[],[f183,f139]) ).
fof(f139,plain,
! [X0] :
( element(sK4(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f776,plain,
! [X0] :
( in(sK7(sK4(X0)),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f773]) ).
fof(f773,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK7(sK4(X0)),X0) ),
inference(resolution,[],[f766,f177]) ).
fof(f766,plain,
! [X0] :
( element(sK7(sK4(X0)),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f759,f140]) ).
fof(f759,plain,
! [X0] :
( element(sK7(sK4(X0)),X0)
| empty(X0)
| empty(sK4(X0)) ),
inference(resolution,[],[f404,f278]) ).
fof(f48528,plain,
( spl14_9
| ~ spl14_35 ),
inference(avatar_contradiction_clause,[],[f48527]) ).
fof(f48527,plain,
( $false
| spl14_9
| ~ spl14_35 ),
inference(subsumption_resolution,[],[f48434,f2696]) ).
fof(f2696,plain,
( ~ empty(sK3(powerset(empty_set)))
| spl14_9 ),
inference(avatar_component_clause,[],[f2695]) ).
fof(f2695,plain,
( spl14_9
<=> empty(sK3(powerset(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f48434,plain,
( empty(sK3(powerset(empty_set)))
| ~ spl14_35 ),
inference(resolution,[],[f48288,f140]) ).
fof(f48288,plain,
( empty(sK4(sK3(powerset(empty_set))))
| ~ spl14_35 ),
inference(avatar_component_clause,[],[f48286]) ).
fof(f48286,plain,
( spl14_35
<=> empty(sK4(sK3(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_35])]) ).
fof(f48293,plain,
( spl14_35
| spl14_36 ),
inference(avatar_split_clause,[],[f3265,f48290,f48286]) ).
fof(f48290,plain,
( spl14_36
<=> in(empty_set,sK4(sK3(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_36])]) ).
fof(f3265,plain,
( in(empty_set,sK4(sK3(powerset(empty_set))))
| empty(sK4(sK3(powerset(empty_set)))) ),
inference(superposition,[],[f278,f3231]) ).
fof(f3231,plain,
empty_set = sK7(sK4(sK3(powerset(empty_set)))),
inference(resolution,[],[f1904,f127]) ).
fof(f1904,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK7(sK4(sK3(powerset(X0)))) ),
inference(resolution,[],[f1888,f145]) ).
fof(f1888,plain,
! [X0] :
( empty(sK7(sK4(sK3(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1011,f278]) ).
fof(f1011,plain,
! [X0,X1] :
( ~ in(X1,sK7(sK4(sK3(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1004,f128]) ).
fof(f1004,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK7(sK4(sK3(powerset(X0))))) ),
inference(resolution,[],[f800,f184]) ).
fof(f800,plain,
! [X0] :
( element(sK7(sK4(sK3(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f792,f137]) ).
fof(f137,plain,
! [X0] :
( ~ empty(sK3(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ( finite(sK3(X0))
& ~ empty(sK3(X0))
& element(sK3(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f65,f100]) ).
fof(f100,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( finite(sK3(X0))
& ~ empty(sK3(X0))
& element(sK3(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_finset_1) ).
fof(f792,plain,
! [X0] :
( empty(sK3(X0))
| element(sK7(sK4(sK3(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f776,f403]) ).
fof(f403,plain,
! [X0,X1] :
( ~ in(X0,sK3(X1))
| element(X0,X1)
| empty(X1) ),
inference(resolution,[],[f183,f136]) ).
fof(f136,plain,
! [X0] :
( element(sK3(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f48280,plain,
( spl14_7
| ~ spl14_33 ),
inference(avatar_contradiction_clause,[],[f48279]) ).
fof(f48279,plain,
( $false
| spl14_7
| ~ spl14_33 ),
inference(subsumption_resolution,[],[f48186,f2672]) ).
fof(f2672,plain,
( ~ empty(sK2(powerset(empty_set)))
| spl14_7 ),
inference(avatar_component_clause,[],[f2671]) ).
fof(f2671,plain,
( spl14_7
<=> empty(sK2(powerset(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f48186,plain,
( empty(sK2(powerset(empty_set)))
| ~ spl14_33 ),
inference(resolution,[],[f48180,f140]) ).
fof(f48180,plain,
( empty(sK4(sK2(powerset(empty_set))))
| ~ spl14_33 ),
inference(avatar_component_clause,[],[f48178]) ).
fof(f48178,plain,
( spl14_33
<=> empty(sK4(sK2(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_33])]) ).
fof(f48185,plain,
( spl14_33
| spl14_34 ),
inference(avatar_split_clause,[],[f3226,f48182,f48178]) ).
fof(f48182,plain,
( spl14_34
<=> in(empty_set,sK4(sK2(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_34])]) ).
fof(f3226,plain,
( in(empty_set,sK4(sK2(powerset(empty_set))))
| empty(sK4(sK2(powerset(empty_set)))) ),
inference(superposition,[],[f278,f3192]) ).
fof(f3192,plain,
empty_set = sK7(sK4(sK2(powerset(empty_set)))),
inference(resolution,[],[f1830,f127]) ).
fof(f1830,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK7(sK4(sK2(powerset(X0)))) ),
inference(resolution,[],[f1789,f145]) ).
fof(f1789,plain,
! [X0] :
( empty(sK7(sK4(sK2(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f996,f278]) ).
fof(f996,plain,
! [X0,X1] :
( ~ in(X1,sK7(sK4(sK2(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f989,f128]) ).
fof(f989,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK7(sK4(sK2(powerset(X0))))) ),
inference(resolution,[],[f799,f184]) ).
fof(f799,plain,
! [X0] :
( element(sK7(sK4(sK2(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f791,f135]) ).
fof(f135,plain,
! [X0] :
( ~ empty(sK2(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ( ~ empty(sK2(X0))
& element(sK2(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f64,f98]) ).
fof(f98,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( ~ empty(sK2(X0))
& element(sK2(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f791,plain,
! [X0] :
( empty(sK2(X0))
| element(sK7(sK4(sK2(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f776,f402]) ).
fof(f402,plain,
! [X0,X1] :
( ~ in(X0,sK2(X1))
| element(X0,X1)
| empty(X1) ),
inference(resolution,[],[f183,f134]) ).
fof(f134,plain,
! [X0] :
( element(sK2(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f48172,plain,
( spl14_15
| ~ spl14_31 ),
inference(avatar_contradiction_clause,[],[f48171]) ).
fof(f48171,plain,
( $false
| spl14_15
| ~ spl14_31 ),
inference(subsumption_resolution,[],[f48078,f2847]) ).
fof(f48078,plain,
( empty(sK4(powerset(empty_set)))
| ~ spl14_31 ),
inference(resolution,[],[f48072,f137]) ).
fof(f48072,plain,
( empty(sK3(sK4(powerset(empty_set))))
| ~ spl14_31 ),
inference(avatar_component_clause,[],[f48070]) ).
fof(f48070,plain,
( spl14_31
<=> empty(sK3(sK4(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_31])]) ).
fof(f48077,plain,
( spl14_31
| spl14_32 ),
inference(avatar_split_clause,[],[f3168,f48074,f48070]) ).
fof(f48074,plain,
( spl14_32
<=> in(empty_set,sK3(sK4(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_32])]) ).
fof(f3168,plain,
( in(empty_set,sK3(sK4(powerset(empty_set))))
| empty(sK3(sK4(powerset(empty_set)))) ),
inference(superposition,[],[f278,f3134]) ).
fof(f3134,plain,
empty_set = sK7(sK3(sK4(powerset(empty_set)))),
inference(resolution,[],[f1752,f127]) ).
fof(f1752,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK7(sK3(sK4(powerset(X0)))) ),
inference(resolution,[],[f1736,f145]) ).
fof(f1736,plain,
! [X0] :
( empty(sK7(sK3(sK4(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f981,f278]) ).
fof(f981,plain,
! [X0,X1] :
( ~ in(X1,sK7(sK3(sK4(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f974,f128]) ).
fof(f974,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK7(sK3(sK4(powerset(X0))))) ),
inference(resolution,[],[f769,f184]) ).
fof(f769,plain,
! [X0] :
( element(sK7(sK3(sK4(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f762,f140]) ).
fof(f762,plain,
! [X0] :
( element(sK7(sK3(sK4(X0))),X0)
| empty(X0)
| empty(sK4(X0)) ),
inference(resolution,[],[f404,f729]) ).
fof(f729,plain,
! [X0] :
( in(sK7(sK3(X0)),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f726]) ).
fof(f726,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK7(sK3(X0)),X0) ),
inference(resolution,[],[f720,f177]) ).
fof(f720,plain,
! [X0] :
( element(sK7(sK3(X0)),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f714,f137]) ).
fof(f714,plain,
! [X0] :
( element(sK7(sK3(X0)),X0)
| empty(X0)
| empty(sK3(X0)) ),
inference(resolution,[],[f403,f278]) ).
fof(f47924,plain,
( spl14_15
| ~ spl14_29 ),
inference(avatar_contradiction_clause,[],[f47923]) ).
fof(f47923,plain,
( $false
| spl14_15
| ~ spl14_29 ),
inference(subsumption_resolution,[],[f47830,f2847]) ).
fof(f47830,plain,
( empty(sK4(powerset(empty_set)))
| ~ spl14_29 ),
inference(resolution,[],[f47824,f135]) ).
fof(f47824,plain,
( empty(sK2(sK4(powerset(empty_set))))
| ~ spl14_29 ),
inference(avatar_component_clause,[],[f47822]) ).
fof(f47822,plain,
( spl14_29
<=> empty(sK2(sK4(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_29])]) ).
fof(f47829,plain,
( spl14_29
| spl14_30 ),
inference(avatar_split_clause,[],[f3129,f47826,f47822]) ).
fof(f47826,plain,
( spl14_30
<=> in(empty_set,sK2(sK4(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_30])]) ).
fof(f3129,plain,
( in(empty_set,sK2(sK4(powerset(empty_set))))
| empty(sK2(sK4(powerset(empty_set)))) ),
inference(superposition,[],[f278,f3095]) ).
fof(f3095,plain,
empty_set = sK7(sK2(sK4(powerset(empty_set)))),
inference(resolution,[],[f1691,f127]) ).
fof(f1691,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK7(sK2(sK4(powerset(X0)))) ),
inference(resolution,[],[f1675,f145]) ).
fof(f1675,plain,
! [X0] :
( empty(sK7(sK2(sK4(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f966,f278]) ).
fof(f966,plain,
! [X0,X1] :
( ~ in(X1,sK7(sK2(sK4(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f959,f128]) ).
fof(f959,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK7(sK2(sK4(powerset(X0))))) ),
inference(resolution,[],[f767,f184]) ).
fof(f767,plain,
! [X0] :
( element(sK7(sK2(sK4(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f760,f140]) ).
fof(f760,plain,
! [X0] :
( element(sK7(sK2(sK4(X0))),X0)
| empty(X0)
| empty(sK4(X0)) ),
inference(resolution,[],[f404,f553]) ).
fof(f553,plain,
! [X0] :
( in(sK7(sK2(X0)),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f550]) ).
fof(f550,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK7(sK2(X0)),X0) ),
inference(resolution,[],[f546,f177]) ).
fof(f546,plain,
! [X0] :
( element(sK7(sK2(X0)),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f545,f135]) ).
fof(f545,plain,
! [X0] :
( element(sK7(sK2(X0)),X0)
| empty(X0)
| empty(sK2(X0)) ),
inference(resolution,[],[f402,f278]) ).
fof(f47816,plain,
( spl14_9
| ~ spl14_27 ),
inference(avatar_contradiction_clause,[],[f47815]) ).
fof(f47815,plain,
( $false
| spl14_9
| ~ spl14_27 ),
inference(subsumption_resolution,[],[f47722,f2696]) ).
fof(f47722,plain,
( empty(sK3(powerset(empty_set)))
| ~ spl14_27 ),
inference(resolution,[],[f47716,f137]) ).
fof(f47716,plain,
( empty(sK3(sK3(powerset(empty_set))))
| ~ spl14_27 ),
inference(avatar_component_clause,[],[f47714]) ).
fof(f47714,plain,
( spl14_27
<=> empty(sK3(sK3(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_27])]) ).
fof(f47721,plain,
( spl14_27
| spl14_28 ),
inference(avatar_split_clause,[],[f3084,f47718,f47714]) ).
fof(f47718,plain,
( spl14_28
<=> in(empty_set,sK3(sK3(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_28])]) ).
fof(f3084,plain,
( in(empty_set,sK3(sK3(powerset(empty_set))))
| empty(sK3(sK3(powerset(empty_set)))) ),
inference(superposition,[],[f278,f3050]) ).
fof(f3050,plain,
empty_set = sK7(sK3(sK3(powerset(empty_set)))),
inference(resolution,[],[f1653,f127]) ).
fof(f1653,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK7(sK3(sK3(powerset(X0)))) ),
inference(resolution,[],[f1637,f145]) ).
fof(f1637,plain,
! [X0] :
( empty(sK7(sK3(sK3(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f949,f278]) ).
fof(f949,plain,
! [X0,X1] :
( ~ in(X1,sK7(sK3(sK3(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f942,f128]) ).
fof(f942,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK7(sK3(sK3(powerset(X0))))) ),
inference(resolution,[],[f752,f184]) ).
fof(f752,plain,
! [X0] :
( element(sK7(sK3(sK3(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f745,f137]) ).
fof(f745,plain,
! [X0] :
( empty(sK3(X0))
| element(sK7(sK3(sK3(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f729,f403]) ).
fof(f47708,plain,
( spl14_7
| ~ spl14_25 ),
inference(avatar_contradiction_clause,[],[f47707]) ).
fof(f47707,plain,
( $false
| spl14_7
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f47614,f2672]) ).
fof(f47614,plain,
( empty(sK2(powerset(empty_set)))
| ~ spl14_25 ),
inference(resolution,[],[f47608,f137]) ).
fof(f47608,plain,
( empty(sK3(sK2(powerset(empty_set))))
| ~ spl14_25 ),
inference(avatar_component_clause,[],[f47606]) ).
fof(f47606,plain,
( spl14_25
<=> empty(sK3(sK2(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).
fof(f47613,plain,
( spl14_25
| spl14_26 ),
inference(avatar_split_clause,[],[f3045,f47610,f47606]) ).
fof(f47610,plain,
( spl14_26
<=> in(empty_set,sK3(sK2(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_26])]) ).
fof(f3045,plain,
( in(empty_set,sK3(sK2(powerset(empty_set))))
| empty(sK3(sK2(powerset(empty_set)))) ),
inference(superposition,[],[f278,f2994]) ).
fof(f2994,plain,
empty_set = sK7(sK3(sK2(powerset(empty_set)))),
inference(resolution,[],[f1599,f127]) ).
fof(f1599,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK7(sK3(sK2(powerset(X0)))) ),
inference(resolution,[],[f1583,f145]) ).
fof(f1583,plain,
! [X0] :
( empty(sK7(sK3(sK2(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f893,f278]) ).
fof(f893,plain,
! [X0,X1] :
( ~ in(X1,sK7(sK3(sK2(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f886,f128]) ).
fof(f886,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK7(sK3(sK2(powerset(X0))))) ),
inference(resolution,[],[f751,f184]) ).
fof(f751,plain,
! [X0] :
( element(sK7(sK3(sK2(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f744,f135]) ).
fof(f744,plain,
! [X0] :
( empty(sK2(X0))
| element(sK7(sK3(sK2(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f729,f402]) ).
fof(f47460,plain,
( spl14_9
| ~ spl14_23 ),
inference(avatar_contradiction_clause,[],[f47459]) ).
fof(f47459,plain,
( $false
| spl14_9
| ~ spl14_23 ),
inference(subsumption_resolution,[],[f47366,f2696]) ).
fof(f47366,plain,
( empty(sK3(powerset(empty_set)))
| ~ spl14_23 ),
inference(resolution,[],[f47360,f135]) ).
fof(f47360,plain,
( empty(sK2(sK3(powerset(empty_set))))
| ~ spl14_23 ),
inference(avatar_component_clause,[],[f47358]) ).
fof(f47358,plain,
( spl14_23
<=> empty(sK2(sK3(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_23])]) ).
fof(f47365,plain,
( spl14_23
| spl14_24 ),
inference(avatar_split_clause,[],[f2961,f47362,f47358]) ).
fof(f47362,plain,
( spl14_24
<=> in(empty_set,sK2(sK3(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_24])]) ).
fof(f2961,plain,
( in(empty_set,sK2(sK3(powerset(empty_set))))
| empty(sK2(sK3(powerset(empty_set)))) ),
inference(superposition,[],[f278,f2927]) ).
fof(f2927,plain,
empty_set = sK7(sK2(sK3(powerset(empty_set)))),
inference(resolution,[],[f1572,f127]) ).
fof(f1572,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK7(sK2(sK3(powerset(X0)))) ),
inference(resolution,[],[f1556,f145]) ).
fof(f1556,plain,
! [X0] :
( empty(sK7(sK2(sK3(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f878,f278]) ).
fof(f878,plain,
! [X0,X1] :
( ~ in(X1,sK7(sK2(sK3(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f871,f128]) ).
fof(f871,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK7(sK2(sK3(powerset(X0))))) ),
inference(resolution,[],[f721,f184]) ).
fof(f721,plain,
! [X0] :
( element(sK7(sK2(sK3(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f715,f137]) ).
fof(f715,plain,
! [X0] :
( element(sK7(sK2(sK3(X0))),X0)
| empty(X0)
| empty(sK3(X0)) ),
inference(resolution,[],[f403,f553]) ).
fof(f47352,plain,
( spl14_7
| ~ spl14_21 ),
inference(avatar_contradiction_clause,[],[f47351]) ).
fof(f47351,plain,
( $false
| spl14_7
| ~ spl14_21 ),
inference(subsumption_resolution,[],[f47258,f2672]) ).
fof(f47258,plain,
( empty(sK2(powerset(empty_set)))
| ~ spl14_21 ),
inference(resolution,[],[f47252,f135]) ).
fof(f47252,plain,
( empty(sK2(sK2(powerset(empty_set))))
| ~ spl14_21 ),
inference(avatar_component_clause,[],[f47250]) ).
fof(f47250,plain,
( spl14_21
<=> empty(sK2(sK2(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_21])]) ).
fof(f47257,plain,
( spl14_21
| spl14_22 ),
inference(avatar_split_clause,[],[f2922,f47254,f47250]) ).
fof(f47254,plain,
( spl14_22
<=> in(empty_set,sK2(sK2(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_22])]) ).
fof(f2922,plain,
( in(empty_set,sK2(sK2(powerset(empty_set))))
| empty(sK2(sK2(powerset(empty_set)))) ),
inference(superposition,[],[f278,f2888]) ).
fof(f2888,plain,
empty_set = sK7(sK2(sK2(powerset(empty_set)))),
inference(resolution,[],[f1509,f127]) ).
fof(f1509,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK7(sK2(sK2(powerset(X0)))) ),
inference(resolution,[],[f1493,f145]) ).
fof(f1493,plain,
! [X0] :
( empty(sK7(sK2(sK2(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f608,f278]) ).
fof(f608,plain,
! [X0,X1] :
( ~ in(X1,sK7(sK2(sK2(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f601,f128]) ).
fof(f601,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK7(sK2(sK2(powerset(X0))))) ),
inference(resolution,[],[f571,f184]) ).
fof(f571,plain,
! [X0] :
( element(sK7(sK2(sK2(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f566,f135]) ).
fof(f566,plain,
! [X0] :
( empty(sK2(X0))
| element(sK7(sK2(sK2(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f553,f402]) ).
fof(f43839,plain,
( ~ spl14_19
| spl14_20 ),
inference(avatar_split_clause,[],[f43763,f43837,f43833]) ).
fof(f43837,plain,
( spl14_20
<=> ! [X0,X1] :
( in(set_intersection2(X0,X1),sK1)
| ~ in(X1,sK1)
| ~ in(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_20])]) ).
fof(f43763,plain,
! [X0,X1] :
( in(set_intersection2(X0,X1),sK1)
| ~ sP0(sK1)
| ~ in(X0,sK1)
| ~ in(X1,sK1) ),
inference(subsumption_resolution,[],[f43708,f148]) ).
fof(f43708,plain,
! [X0,X1] :
( in(set_intersection2(X0,X1),sK1)
| ~ in(set_union2(X0,X1),sK1)
| ~ sP0(sK1)
| ~ in(X0,sK1)
| ~ in(X1,sK1) ),
inference(resolution,[],[f6869,f1919]) ).
fof(f1919,plain,
! [X2,X0,X1] :
( in(symmetric_difference(X0,X1),X2)
| ~ sP0(X2)
| ~ in(X0,X2)
| ~ in(X1,X2) ),
inference(subsumption_resolution,[],[f1918,f149]) ).
fof(f149,plain,
! [X3,X0,X4] :
( in(set_difference(X3,X4),X0)
| ~ in(X4,X0)
| ~ in(X3,X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f1918,plain,
! [X2,X0,X1] :
( in(symmetric_difference(X0,X1),X2)
| ~ in(set_difference(X0,X1),X2)
| ~ sP0(X2)
| ~ in(X0,X2)
| ~ in(X1,X2) ),
inference(duplicate_literal_removal,[],[f1912]) ).
fof(f1912,plain,
! [X2,X0,X1] :
( in(symmetric_difference(X0,X1),X2)
| ~ in(set_difference(X0,X1),X2)
| ~ sP0(X2)
| ~ in(X0,X2)
| ~ in(X1,X2)
| ~ sP0(X2) ),
inference(resolution,[],[f589,f149]) ).
fof(f589,plain,
! [X2,X0,X1] :
( ~ in(set_difference(X1,X0),X2)
| in(symmetric_difference(X0,X1),X2)
| ~ in(set_difference(X0,X1),X2)
| ~ sP0(X2) ),
inference(superposition,[],[f148,f169]) ).
fof(f169,plain,
! [X0,X1] : symmetric_difference(X0,X1) = set_union2(set_difference(X0,X1),set_difference(X1,X0)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : symmetric_difference(X0,X1) = set_union2(set_difference(X0,X1),set_difference(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_xboole_0) ).
fof(f2984,plain,
( ~ spl14_17
| spl14_18 ),
inference(avatar_split_clause,[],[f2974,f2981,f2977]) ).
fof(f2977,plain,
( spl14_17
<=> in(sK1,sK5(sK4(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).
fof(f2981,plain,
( spl14_18
<=> sP0(sK4(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).
fof(f2974,plain,
( sP0(sK4(sK1))
| ~ in(sK1,sK5(sK4(sK1))) ),
inference(subsumption_resolution,[],[f2968,f123]) ).
fof(f123,plain,
~ empty(sK1),
inference(cnf_transformation,[],[f97]) ).
fof(f2968,plain,
( empty(sK1)
| sP0(sK4(sK1))
| ~ in(sK1,sK5(sK4(sK1))) ),
inference(resolution,[],[f757,f353]) ).
fof(f757,plain,
! [X0] :
( element(sK5(sK4(X0)),X0)
| empty(X0)
| sP0(sK4(X0)) ),
inference(resolution,[],[f404,f150]) ).
fof(f2864,plain,
~ spl14_15,
inference(avatar_contradiction_clause,[],[f2863]) ).
fof(f2863,plain,
( $false
| ~ spl14_15 ),
inference(subsumption_resolution,[],[f2854,f128]) ).
fof(f2854,plain,
( empty(powerset(empty_set))
| ~ spl14_15 ),
inference(resolution,[],[f2848,f140]) ).
fof(f2848,plain,
( empty(sK4(powerset(empty_set)))
| ~ spl14_15 ),
inference(avatar_component_clause,[],[f2846]) ).
fof(f2853,plain,
( spl14_15
| spl14_16 ),
inference(avatar_split_clause,[],[f1126,f2850,f2846]) ).
fof(f2850,plain,
( spl14_16
<=> in(empty_set,sK4(powerset(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).
fof(f1126,plain,
( in(empty_set,sK4(powerset(empty_set)))
| empty(sK4(powerset(empty_set))) ),
inference(superposition,[],[f278,f1106]) ).
fof(f1106,plain,
empty_set = sK7(sK4(powerset(empty_set))),
inference(resolution,[],[f848,f127]) ).
fof(f848,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK7(sK4(powerset(X0))) ),
inference(resolution,[],[f837,f145]) ).
fof(f837,plain,
! [X0] :
( empty(sK7(sK4(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f778,f278]) ).
fof(f778,plain,
! [X0,X1] :
( ~ in(X1,sK7(sK4(powerset(X0))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f771,f128]) ).
fof(f771,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK7(sK4(powerset(X0)))) ),
inference(resolution,[],[f766,f184]) ).
fof(f2837,plain,
( ~ spl14_13
| spl14_14 ),
inference(avatar_split_clause,[],[f2827,f2834,f2830]) ).
fof(f2830,plain,
( spl14_13
<=> in(sK1,sK5(sK3(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
fof(f2834,plain,
( spl14_14
<=> sP0(sK3(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).
fof(f2827,plain,
( sP0(sK3(sK1))
| ~ in(sK1,sK5(sK3(sK1))) ),
inference(subsumption_resolution,[],[f2821,f123]) ).
fof(f2821,plain,
( empty(sK1)
| sP0(sK3(sK1))
| ~ in(sK1,sK5(sK3(sK1))) ),
inference(resolution,[],[f712,f353]) ).
fof(f712,plain,
! [X0] :
( element(sK5(sK3(X0)),X0)
| empty(X0)
| sP0(sK3(X0)) ),
inference(resolution,[],[f403,f150]) ).
fof(f2792,plain,
( ~ spl14_11
| spl14_12 ),
inference(avatar_split_clause,[],[f2782,f2789,f2785]) ).
fof(f2785,plain,
( spl14_11
<=> in(sK1,sK5(sK2(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f2789,plain,
( spl14_12
<=> sP0(sK2(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f2782,plain,
( sP0(sK2(sK1))
| ~ in(sK1,sK5(sK2(sK1))) ),
inference(subsumption_resolution,[],[f2776,f123]) ).
fof(f2776,plain,
( empty(sK1)
| sP0(sK2(sK1))
| ~ in(sK1,sK5(sK2(sK1))) ),
inference(resolution,[],[f543,f353]) ).
fof(f543,plain,
! [X0] :
( element(sK5(sK2(X0)),X0)
| empty(X0)
| sP0(sK2(X0)) ),
inference(resolution,[],[f402,f150]) ).
fof(f2731,plain,
~ spl14_9,
inference(avatar_contradiction_clause,[],[f2730]) ).
fof(f2730,plain,
( $false
| ~ spl14_9 ),
inference(subsumption_resolution,[],[f2721,f128]) ).
fof(f2721,plain,
( empty(powerset(empty_set))
| ~ spl14_9 ),
inference(resolution,[],[f2697,f137]) ).
fof(f2697,plain,
( empty(sK3(powerset(empty_set)))
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f2695]) ).
fof(f2702,plain,
( spl14_9
| spl14_10 ),
inference(avatar_split_clause,[],[f1101,f2699,f2695]) ).
fof(f2699,plain,
( spl14_10
<=> in(empty_set,sK3(powerset(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f1101,plain,
( in(empty_set,sK3(powerset(empty_set)))
| empty(sK3(powerset(empty_set))) ),
inference(superposition,[],[f278,f1035]) ).
fof(f1035,plain,
empty_set = sK7(sK3(powerset(empty_set))),
inference(resolution,[],[f833,f127]) ).
fof(f833,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK7(sK3(powerset(X0))) ),
inference(resolution,[],[f808,f145]) ).
fof(f808,plain,
! [X0] :
( empty(sK7(sK3(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f731,f278]) ).
fof(f731,plain,
! [X0,X1] :
( ~ in(X1,sK7(sK3(powerset(X0))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f724,f128]) ).
fof(f724,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK7(sK3(powerset(X0)))) ),
inference(resolution,[],[f720,f184]) ).
fof(f2689,plain,
~ spl14_7,
inference(avatar_contradiction_clause,[],[f2688]) ).
fof(f2688,plain,
( $false
| ~ spl14_7 ),
inference(subsumption_resolution,[],[f2679,f128]) ).
fof(f2679,plain,
( empty(powerset(empty_set))
| ~ spl14_7 ),
inference(resolution,[],[f2673,f135]) ).
fof(f2673,plain,
( empty(sK2(powerset(empty_set)))
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f2671]) ).
fof(f2678,plain,
( spl14_7
| spl14_8 ),
inference(avatar_split_clause,[],[f689,f2675,f2671]) ).
fof(f2675,plain,
( spl14_8
<=> in(empty_set,sK2(powerset(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f689,plain,
( in(empty_set,sK2(powerset(empty_set)))
| empty(sK2(powerset(empty_set))) ),
inference(superposition,[],[f278,f671]) ).
fof(f671,plain,
empty_set = sK7(sK2(powerset(empty_set))),
inference(resolution,[],[f599,f127]) ).
fof(f599,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK7(sK2(powerset(X0))) ),
inference(resolution,[],[f593,f145]) ).
fof(f593,plain,
! [X0] :
( empty(sK7(sK2(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f555,f278]) ).
fof(f555,plain,
! [X0,X1] :
( ~ in(X1,sK7(sK2(powerset(X0))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f548,f128]) ).
fof(f548,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK7(sK2(powerset(X0)))) ),
inference(resolution,[],[f546,f184]) ).
fof(f2557,plain,
( ~ spl14_5
| spl14_6 ),
inference(avatar_split_clause,[],[f2541,f2554,f2550]) ).
fof(f2550,plain,
( spl14_5
<=> in(sK1,sK5(sK7(powerset(sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f2554,plain,
( spl14_6
<=> sP0(sK7(powerset(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f2541,plain,
( sP0(sK7(powerset(sK1)))
| ~ in(sK1,sK5(sK7(powerset(sK1)))) ),
inference(resolution,[],[f425,f353]) ).
fof(f425,plain,
! [X0] :
( element(sK5(sK7(powerset(X0))),X0)
| sP0(sK7(powerset(X0))) ),
inference(resolution,[],[f405,f150]) ).
fof(f405,plain,
! [X0,X1] :
( ~ in(X0,sK7(powerset(X1)))
| element(X0,X1) ),
inference(resolution,[],[f183,f155]) ).
fof(f486,plain,
spl14_1,
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f485,plain,
( $false
| spl14_1 ),
inference(resolution,[],[f483,f155]) ).
fof(f483,plain,
( ! [X0] : ~ element(X0,sK1)
| spl14_1 ),
inference(subsumption_resolution,[],[f479,f330]) ).
fof(f330,plain,
( ~ in(empty_set,sK1)
| spl14_1 ),
inference(resolution,[],[f325,f176]) ).
fof(f325,plain,
( ~ element(empty_set,sK1)
| spl14_1 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f323,plain,
( spl14_1
<=> element(empty_set,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f479,plain,
! [X0] :
( in(empty_set,sK1)
| ~ element(X0,sK1) ),
inference(duplicate_literal_removal,[],[f476]) ).
fof(f476,plain,
! [X0] :
( in(empty_set,sK1)
| ~ element(X0,sK1)
| ~ element(X0,sK1) ),
inference(superposition,[],[f124,f463]) ).
fof(f463,plain,
! [X0] : empty_set = symmetric_difference(X0,X0),
inference(forward_demodulation,[],[f462,f130]) ).
fof(f130,plain,
! [X0] : empty_set = set_intersection2(X0,empty_set),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] : empty_set = set_intersection2(X0,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_boole) ).
fof(f462,plain,
! [X0] : set_intersection2(X0,empty_set) = symmetric_difference(X0,X0),
inference(forward_demodulation,[],[f443,f133]) ).
fof(f443,plain,
! [X0] : set_intersection2(X0,empty_set) = symmetric_difference(X0,set_union2(X0,empty_set)),
inference(superposition,[],[f168,f132]) ).
fof(f132,plain,
! [X0] : symmetric_difference(X0,empty_set) = X0,
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] : symmetric_difference(X0,empty_set) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_boole) ).
fof(f390,plain,
( spl14_3
| spl14_4 ),
inference(avatar_split_clause,[],[f379,f388,f385]) ).
fof(f385,plain,
( spl14_3
<=> ! [X1] : ~ in(X1,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f388,plain,
( spl14_4
<=> ! [X0] : ~ empty(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f379,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,empty_set) ),
inference(resolution,[],[f184,f202]) ).
fof(f339,plain,
spl14_2,
inference(avatar_split_clause,[],[f338,f327]) ).
fof(f327,plain,
( spl14_2
<=> ! [X0] :
( in(X0,sK1)
| ~ element(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f338,plain,
! [X0] :
( in(X0,sK1)
| ~ element(X0,sK1) ),
inference(duplicate_literal_removal,[],[f334]) ).
fof(f334,plain,
! [X0] :
( in(X0,sK1)
| ~ element(X0,sK1)
| ~ element(X0,sK1) ),
inference(superposition,[],[f125,f163]) ).
fof(f329,plain,
( ~ spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f318,f327,f323]) ).
fof(f318,plain,
! [X0] :
( in(X0,sK1)
| ~ element(empty_set,sK1)
| ~ element(X0,sK1) ),
inference(superposition,[],[f124,f132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU106+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 20:34:18 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (25283)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (25291)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)
% 0.14/0.38 % (25287)WARNING: value z3 for option sas not known
% 0.14/0.38 % (25286)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (25287)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)
% 0.14/0.38 % (25290)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)
% 0.14/0.38 % (25285)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (25288)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (25289)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)
% 0.20/0.39 TRYING [1]
% 0.20/0.40 TRYING [1]
% 0.20/0.40 TRYING [2]
% 0.20/0.40 TRYING [2]
% 0.20/0.41 TRYING [3]
% 0.20/0.41 TRYING [3]
% 0.20/0.46 TRYING [4]
% 0.20/0.47 TRYING [4]
% 1.22/0.52 TRYING [5]
% 1.32/0.60 TRYING [5]
% 2.03/0.69 TRYING [6]
% 5.68/1.17 TRYING [6]
% 6.23/1.23 TRYING [7]
% 7.79/1.48 TRYING [1]
% 7.79/1.48 TRYING [2]
% 7.79/1.48 TRYING [3]
% 7.79/1.48 TRYING [4]
% 7.79/1.49 TRYING [5]
% 7.79/1.52 TRYING [6]
% 8.72/1.61 TRYING [7]
% 10.70/1.86 TRYING [8]
% 15.92/2.63 % (25287)First to succeed.
% 16.13/2.64 % (25287)Refutation found. Thanks to Tanya!
% 16.13/2.64 % SZS status Theorem for theBenchmark
% 16.13/2.64 % SZS output start Proof for theBenchmark
% See solution above
% 16.13/2.64 % (25287)------------------------------
% 16.13/2.64 % (25287)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 16.13/2.64 % (25287)Termination reason: Refutation
% 16.13/2.64
% 16.13/2.64 % (25287)Memory used [KB]: 34592
% 16.13/2.64 % (25287)Time elapsed: 2.258 s
% 16.13/2.64 % (25287)Instructions burned: 9744 (million)
% 16.13/2.64 % (25287)------------------------------
% 16.13/2.64 % (25287)------------------------------
% 16.13/2.64 % (25283)Success in time 2.267 s
%------------------------------------------------------------------------------