TSTP Solution File: SEU325+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU325+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 : n011.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 15:28:51 EDT 2024
% Result : Theorem 0.15s 0.42s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 56
% Syntax : Number of formulae : 252 ( 47 unt; 0 def)
% Number of atoms : 693 ( 39 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 712 ( 271 ~; 261 |; 125 &)
% ( 26 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 23 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-2 aty)
% Number of variables : 202 ( 168 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f812,plain,
$false,
inference(avatar_sat_refutation,[],[f263,f294,f314,f326,f335,f361,f396,f403,f405,f412,f415,f467,f474,f475,f476,f483,f488,f489,f516,f571,f676,f799,f801,f803,f805,f807,f811]) ).
fof(f811,plain,
~ spl15_16,
inference(avatar_contradiction_clause,[],[f810]) ).
fof(f810,plain,
( $false
| ~ spl15_16 ),
inference(subsumption_resolution,[],[f809,f137]) ).
fof(f137,plain,
~ empty_carrier(sK3),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( empty_set = sK4
& is_a_cover_of_carrier(sK3,sK4)
& element(sK4,powerset(powerset(the_carrier(sK3))))
& one_sorted_str(sK3)
& ~ empty_carrier(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f69,f110,f109]) ).
fof(f109,plain,
( ? [X0] :
( ? [X1] :
( empty_set = X1
& is_a_cover_of_carrier(X0,X1)
& element(X1,powerset(powerset(the_carrier(X0)))) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ( ? [X1] :
( empty_set = X1
& is_a_cover_of_carrier(sK3,X1)
& element(X1,powerset(powerset(the_carrier(sK3)))) )
& one_sorted_str(sK3)
& ~ empty_carrier(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
( ? [X1] :
( empty_set = X1
& is_a_cover_of_carrier(sK3,X1)
& element(X1,powerset(powerset(the_carrier(sK3)))) )
=> ( empty_set = sK4
& is_a_cover_of_carrier(sK3,sK4)
& element(sK4,powerset(powerset(the_carrier(sK3)))) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
? [X0] :
( ? [X1] :
( empty_set = X1
& is_a_cover_of_carrier(X0,X1)
& element(X1,powerset(powerset(the_carrier(X0)))) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
? [X0] :
( ? [X1] :
( empty_set = X1
& is_a_cover_of_carrier(X0,X1)
& element(X1,powerset(powerset(the_carrier(X0)))) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,negated_conjecture,
~ ! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ~ ( empty_set = X1
& is_a_cover_of_carrier(X0,X1) ) ) ),
inference(negated_conjecture,[],[f46]) ).
fof(f46,conjecture,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ~ ( empty_set = X1
& is_a_cover_of_carrier(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tops_2) ).
fof(f809,plain,
( empty_carrier(sK3)
| ~ spl15_16 ),
inference(subsumption_resolution,[],[f808,f138]) ).
fof(f138,plain,
one_sorted_str(sK3),
inference(cnf_transformation,[],[f111]) ).
fof(f808,plain,
( ~ one_sorted_str(sK3)
| empty_carrier(sK3)
| ~ spl15_16 ),
inference(subsumption_resolution,[],[f797,f142]) ).
fof(f142,plain,
empty(empty_set),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
( v5_membered(empty_set)
& v4_membered(empty_set)
& v3_membered(empty_set)
& v2_membered(empty_set)
& v1_membered(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).
fof(f797,plain,
( ~ empty(empty_set)
| ~ one_sorted_str(sK3)
| empty_carrier(sK3)
| ~ spl15_16 ),
inference(superposition,[],[f182,f770]) ).
fof(f770,plain,
( empty_set = cast_as_carrier_subset(sK3)
| ~ spl15_16 ),
inference(forward_demodulation,[],[f765,f492]) ).
fof(f492,plain,
( empty_set = union(empty_set)
| ~ spl15_16 ),
inference(resolution,[],[f490,f162]) ).
fof(f162,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f490,plain,
( empty(union(empty_set))
| ~ spl15_16 ),
inference(resolution,[],[f482,f273]) ).
fof(f273,plain,
! [X0] :
( in(sK7(X0),X0)
| empty(X0) ),
inference(resolution,[],[f192,f186]) ).
fof(f186,plain,
! [X0] : element(sK7(X0),X0),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] : element(sK7(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f29,f120]) ).
fof(f120,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK7(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f29,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f192,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f482,plain,
( ! [X1] : ~ in(X1,union(empty_set))
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f481,plain,
( spl15_16
<=> ! [X1] : ~ in(X1,union(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f765,plain,
cast_as_carrier_subset(sK3) = union(empty_set),
inference(superposition,[],[f755,f424]) ).
fof(f424,plain,
union(empty_set) = union_of_subsets(cast_as_carrier_subset(sK3),empty_set),
inference(forward_demodulation,[],[f420,f228]) ).
fof(f228,plain,
the_carrier(sK3) = cast_as_carrier_subset(sK3),
inference(resolution,[],[f151,f138]) ).
fof(f151,plain,
! [X0] :
( ~ one_sorted_str(X0)
| cast_as_carrier_subset(X0) = the_carrier(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( cast_as_carrier_subset(X0) = the_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f420,plain,
union_of_subsets(the_carrier(sK3),empty_set) = union(empty_set),
inference(resolution,[],[f193,f222]) ).
fof(f222,plain,
element(empty_set,powerset(powerset(the_carrier(sK3)))),
inference(forward_demodulation,[],[f139,f141]) ).
fof(f141,plain,
empty_set = sK4,
inference(cnf_transformation,[],[f111]) ).
fof(f139,plain,
element(sK4,powerset(powerset(the_carrier(sK3)))),
inference(cnf_transformation,[],[f111]) ).
fof(f193,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| union_of_subsets(X0,X1) = union(X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( union_of_subsets(X0,X1) = union(X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> union_of_subsets(X0,X1) = union(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
fof(f755,plain,
cast_as_carrier_subset(sK3) = union_of_subsets(cast_as_carrier_subset(sK3),empty_set),
inference(forward_demodulation,[],[f754,f228]) ).
fof(f754,plain,
cast_as_carrier_subset(sK3) = union_of_subsets(the_carrier(sK3),empty_set),
inference(subsumption_resolution,[],[f753,f138]) ).
fof(f753,plain,
( cast_as_carrier_subset(sK3) = union_of_subsets(the_carrier(sK3),empty_set)
| ~ one_sorted_str(sK3) ),
inference(subsumption_resolution,[],[f742,f218]) ).
fof(f218,plain,
is_a_cover_of_carrier(sK3,empty_set),
inference(superposition,[],[f140,f141]) ).
fof(f140,plain,
is_a_cover_of_carrier(sK3,sK4),
inference(cnf_transformation,[],[f111]) ).
fof(f742,plain,
( ~ is_a_cover_of_carrier(sK3,empty_set)
| cast_as_carrier_subset(sK3) = union_of_subsets(the_carrier(sK3),empty_set)
| ~ one_sorted_str(sK3) ),
inference(resolution,[],[f153,f222]) ).
fof(f153,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ is_a_cover_of_carrier(X0,X1)
| cast_as_carrier_subset(X0) = union_of_subsets(the_carrier(X0),X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ( ( is_a_cover_of_carrier(X0,X1)
| cast_as_carrier_subset(X0) != union_of_subsets(the_carrier(X0),X1) )
& ( cast_as_carrier_subset(X0) = union_of_subsets(the_carrier(X0),X1)
| ~ is_a_cover_of_carrier(X0,X1) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ one_sorted_str(X0) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ( is_a_cover_of_carrier(X0,X1)
<=> cast_as_carrier_subset(X0) = union_of_subsets(the_carrier(X0),X1) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ( is_a_cover_of_carrier(X0,X1)
<=> cast_as_carrier_subset(X0) = union_of_subsets(the_carrier(X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_pre_topc) ).
fof(f182,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_pre_topc) ).
fof(f807,plain,
( ~ spl15_5
| spl15_13
| ~ spl15_14
| ~ spl15_16
| ~ spl15_21 ),
inference(avatar_contradiction_clause,[],[f806]) ).
fof(f806,plain,
( $false
| ~ spl15_5
| spl15_13
| ~ spl15_14
| ~ spl15_16
| ~ spl15_21 ),
inference(subsumption_resolution,[],[f791,f310]) ).
fof(f310,plain,
( ! [X1] : ~ in(X1,empty_set)
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f309,plain,
( spl15_5
<=> ! [X1] : ~ in(X1,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f791,plain,
( in(empty_set,empty_set)
| ~ spl15_5
| spl15_13
| ~ spl15_14
| ~ spl15_16
| ~ spl15_21 ),
inference(superposition,[],[f717,f770]) ).
fof(f717,plain,
( in(empty_set,cast_as_carrier_subset(sK3))
| ~ spl15_5
| spl15_13
| ~ spl15_14
| ~ spl15_21 ),
inference(superposition,[],[f395,f698]) ).
fof(f698,plain,
( empty_set = sK7(sK6(sK3))
| ~ spl15_5
| spl15_13
| ~ spl15_21 ),
inference(resolution,[],[f689,f162]) ).
fof(f689,plain,
( empty(sK7(sK6(sK3)))
| ~ spl15_5
| spl15_13
| ~ spl15_21 ),
inference(resolution,[],[f688,f273]) ).
fof(f688,plain,
( ! [X0] : ~ in(X0,sK7(sK6(sK3)))
| ~ spl15_5
| spl15_13
| ~ spl15_21 ),
inference(subsumption_resolution,[],[f683,f390]) ).
fof(f390,plain,
( ~ empty(sK6(sK3))
| spl15_13 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f389,plain,
( spl15_13
<=> empty(sK6(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f683,plain,
( ! [X0] :
( ~ in(X0,sK7(sK6(sK3)))
| empty(sK6(sK3)) )
| ~ spl15_5
| ~ spl15_21 ),
inference(resolution,[],[f681,f273]) ).
fof(f681,plain,
( ! [X0,X1] :
( ~ in(X0,sK6(sK3))
| ~ in(X1,X0) )
| ~ spl15_5
| ~ spl15_21 ),
inference(subsumption_resolution,[],[f677,f310]) ).
fof(f677,plain,
( ! [X0,X1] :
( ~ in(X0,sK6(sK3))
| ~ in(X1,X0)
| in(X1,empty_set) )
| ~ spl15_21 ),
inference(resolution,[],[f671,f197]) ).
fof(f197,plain,
! [X0,X1,X6,X5] :
( ~ sP2(X0,X1)
| ~ in(X6,X0)
| ~ in(X5,X6)
| in(X5,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(sK9(X0,X1),X3) )
| ~ in(sK9(X0,X1),X1) )
& ( ( in(sK10(X0,X1),X0)
& in(sK9(X0,X1),sK10(X0,X1)) )
| in(sK9(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,X0)
| ~ in(X5,X6) ) )
& ( ( in(sK11(X0,X5),X0)
& in(X5,sK11(X0,X5)) )
| ~ in(X5,X1) ) )
| ~ sP2(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f125,f128,f127,f126]) ).
fof(f126,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,X0)
& in(X2,X4) )
| in(X2,X1) ) )
=> ( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(sK9(X0,X1),X3) )
| ~ in(sK9(X0,X1),X1) )
& ( ? [X4] :
( in(X4,X0)
& in(sK9(X0,X1),X4) )
| in(sK9(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
! [X0,X1] :
( ? [X4] :
( in(X4,X0)
& in(sK9(X0,X1),X4) )
=> ( in(sK10(X0,X1),X0)
& in(sK9(X0,X1),sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0,X5] :
( ? [X7] :
( in(X7,X0)
& in(X5,X7) )
=> ( in(sK11(X0,X5),X0)
& in(X5,sK11(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,X0)
& in(X2,X4) )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,X0)
| ~ in(X5,X6) ) )
& ( ? [X7] :
( in(X7,X0)
& in(X5,X7) )
| ~ in(X5,X1) ) )
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X3,X0)
& in(X2,X3) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) ) )
& ( ? [X3] :
( in(X3,X0)
& in(X2,X3) )
| ~ in(X2,X1) ) )
| ~ sP2(X0,X1) ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( sP2(X0,X1)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,X0)
& in(X2,X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f671,plain,
( sP2(sK6(sK3),empty_set)
| ~ spl15_21 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f669,plain,
( spl15_21
<=> sP2(sK6(sK3),empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).
fof(f395,plain,
( in(sK7(sK6(sK3)),cast_as_carrier_subset(sK3))
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f393,plain,
( spl15_14
<=> in(sK7(sK6(sK3)),cast_as_carrier_subset(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f805,plain,
( ~ spl15_5
| ~ spl15_14
| ~ spl15_16 ),
inference(avatar_contradiction_clause,[],[f804]) ).
fof(f804,plain,
( $false
| ~ spl15_5
| ~ spl15_14
| ~ spl15_16 ),
inference(subsumption_resolution,[],[f784,f310]) ).
fof(f784,plain,
( in(sK7(sK6(sK3)),empty_set)
| ~ spl15_14
| ~ spl15_16 ),
inference(superposition,[],[f395,f770]) ).
fof(f803,plain,
( spl15_12
| ~ spl15_16 ),
inference(avatar_contradiction_clause,[],[f802]) ).
fof(f802,plain,
( $false
| spl15_12
| ~ spl15_16 ),
inference(subsumption_resolution,[],[f782,f142]) ).
fof(f782,plain,
( ~ empty(empty_set)
| spl15_12
| ~ spl15_16 ),
inference(superposition,[],[f360,f770]) ).
fof(f360,plain,
( ~ empty(cast_as_carrier_subset(sK3))
| spl15_12 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f358,plain,
( spl15_12
<=> empty(cast_as_carrier_subset(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f801,plain,
( ~ spl15_2
| spl15_4
| ~ spl15_16 ),
inference(avatar_contradiction_clause,[],[f800]) ).
fof(f800,plain,
( $false
| ~ spl15_2
| spl15_4
| ~ spl15_16 ),
inference(subsumption_resolution,[],[f777,f262]) ).
fof(f262,plain,
( sP0(empty_set)
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl15_2
<=> sP0(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f777,plain,
( ~ sP0(empty_set)
| spl15_4
| ~ spl15_16 ),
inference(superposition,[],[f292,f770]) ).
fof(f292,plain,
( ~ sP0(cast_as_carrier_subset(sK3))
| spl15_4 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl15_4
<=> sP0(cast_as_carrier_subset(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f799,plain,
( spl15_3
| ~ spl15_16 ),
inference(avatar_contradiction_clause,[],[f798]) ).
fof(f798,plain,
( $false
| spl15_3
| ~ spl15_16 ),
inference(subsumption_resolution,[],[f776,f147]) ).
fof(f147,plain,
v5_membered(empty_set),
inference(cnf_transformation,[],[f33]) ).
fof(f776,plain,
( ~ v5_membered(empty_set)
| spl15_3
| ~ spl15_16 ),
inference(superposition,[],[f289,f770]) ).
fof(f289,plain,
( ~ v5_membered(cast_as_carrier_subset(sK3))
| spl15_3 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f287,plain,
( spl15_3
<=> v5_membered(cast_as_carrier_subset(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f676,plain,
( spl15_21
| spl15_22
| ~ spl15_5
| spl15_12 ),
inference(avatar_split_clause,[],[f665,f358,f309,f673,f669]) ).
fof(f673,plain,
( spl15_22
<=> in(sK10(sK6(sK3),empty_set),cast_as_carrier_subset(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).
fof(f665,plain,
( in(sK10(sK6(sK3),empty_set),cast_as_carrier_subset(sK3))
| sP2(sK6(sK3),empty_set)
| ~ spl15_5
| spl15_12 ),
inference(resolution,[],[f662,f600]) ).
fof(f600,plain,
( ! [X0] :
( in(sK10(X0,empty_set),X0)
| sP2(X0,empty_set) )
| ~ spl15_5 ),
inference(resolution,[],[f199,f310]) ).
fof(f199,plain,
! [X0,X1] :
( in(sK10(X0,X1),X0)
| in(sK9(X0,X1),X1)
| sP2(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f662,plain,
( ! [X0] :
( ~ in(X0,sK6(sK3))
| in(X0,cast_as_carrier_subset(sK3)) )
| spl15_12 ),
inference(subsumption_resolution,[],[f385,f360]) ).
fof(f385,plain,
! [X0] :
( ~ in(X0,sK6(sK3))
| empty(cast_as_carrier_subset(sK3))
| in(X0,cast_as_carrier_subset(sK3)) ),
inference(resolution,[],[f382,f192]) ).
fof(f382,plain,
! [X0] :
( element(X0,cast_as_carrier_subset(sK3))
| ~ in(X0,sK6(sK3)) ),
inference(resolution,[],[f206,f344]) ).
fof(f344,plain,
element(sK6(sK3),powerset(cast_as_carrier_subset(sK3))),
inference(subsumption_resolution,[],[f343,f137]) ).
fof(f343,plain,
( element(sK6(sK3),powerset(cast_as_carrier_subset(sK3)))
| empty_carrier(sK3) ),
inference(subsumption_resolution,[],[f339,f138]) ).
fof(f339,plain,
( element(sK6(sK3),powerset(cast_as_carrier_subset(sK3)))
| ~ one_sorted_str(sK3)
| empty_carrier(sK3) ),
inference(superposition,[],[f184,f228]) ).
fof(f184,plain,
! [X0] :
( element(sK6(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ( ~ empty(sK6(X0))
& element(sK6(X0),powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f90,f118]) ).
fof(f118,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( ~ empty(sK6(X0))
& element(sK6(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f206,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f571,plain,
( spl15_19
| spl15_20 ),
inference(avatar_split_clause,[],[f345,f568,f564]) ).
fof(f564,plain,
( spl15_19
<=> empty_carrier(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f568,plain,
( spl15_20
<=> element(sK6(sK12),powerset(cast_as_carrier_subset(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).
fof(f345,plain,
( element(sK6(sK12),powerset(cast_as_carrier_subset(sK12)))
| empty_carrier(sK12) ),
inference(subsumption_resolution,[],[f340,f208]) ).
fof(f208,plain,
one_sorted_str(sK12),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
one_sorted_str(sK12),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f28,f131]) ).
fof(f131,plain,
( ? [X0] : one_sorted_str(X0)
=> one_sorted_str(sK12) ),
introduced(choice_axiom,[]) ).
fof(f28,axiom,
? [X0] : one_sorted_str(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f340,plain,
( element(sK6(sK12),powerset(cast_as_carrier_subset(sK12)))
| ~ one_sorted_str(sK12)
| empty_carrier(sK12) ),
inference(superposition,[],[f184,f229]) ).
fof(f229,plain,
cast_as_carrier_subset(sK12) = the_carrier(sK12),
inference(resolution,[],[f151,f208]) ).
fof(f516,plain,
( spl15_17
| ~ spl15_18 ),
inference(avatar_split_clause,[],[f362,f513,f510]) ).
fof(f510,plain,
( spl15_17
<=> ! [X0] : ~ in(X0,sK6(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f513,plain,
( spl15_18
<=> empty(cast_as_carrier_subset(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f362,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(sK14))
| ~ in(X0,sK6(sK14)) ),
inference(resolution,[],[f347,f207]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,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(f347,plain,
element(sK6(sK14),powerset(cast_as_carrier_subset(sK14))),
inference(subsumption_resolution,[],[f346,f216]) ).
fof(f216,plain,
~ empty_carrier(sK14),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ~ empty_carrier(sK14)
& one_sorted_str(sK14) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f37,f135]) ).
fof(f135,plain,
( ? [X0] :
( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ( ~ empty_carrier(sK14)
& one_sorted_str(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f37,axiom,
? [X0] :
( ~ empty_carrier(X0)
& one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f346,plain,
( element(sK6(sK14),powerset(cast_as_carrier_subset(sK14)))
| empty_carrier(sK14) ),
inference(subsumption_resolution,[],[f341,f215]) ).
fof(f215,plain,
one_sorted_str(sK14),
inference(cnf_transformation,[],[f136]) ).
fof(f341,plain,
( element(sK6(sK14),powerset(cast_as_carrier_subset(sK14)))
| ~ one_sorted_str(sK14)
| empty_carrier(sK14) ),
inference(superposition,[],[f184,f230]) ).
fof(f230,plain,
cast_as_carrier_subset(sK14) = the_carrier(sK14),
inference(resolution,[],[f151,f215]) ).
fof(f489,plain,
~ spl15_6,
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f485,plain,
( $false
| ~ spl15_6 ),
inference(resolution,[],[f313,f142]) ).
fof(f313,plain,
( ! [X0] : ~ empty(X0)
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f312,plain,
( spl15_6
<=> ! [X0] : ~ empty(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f488,plain,
~ spl15_6,
inference(avatar_contradiction_clause,[],[f486]) ).
fof(f486,plain,
( $false
| ~ spl15_6 ),
inference(resolution,[],[f313,f188]) ).
fof(f188,plain,
! [X0] : empty(sK8(X0)),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( empty(sK8(X0))
& element(sK8(X0),powerset(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f36,f122]) ).
fof(f122,plain,
! [X0] :
( ? [X1] :
( empty(X1)
& element(X1,powerset(X0)) )
=> ( empty(sK8(X0))
& element(sK8(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,axiom,
! [X0] :
? [X1] :
( empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f483,plain,
( spl15_16
| spl15_6 ),
inference(avatar_split_clause,[],[f458,f312,f481]) ).
fof(f458,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,union(empty_set)) ),
inference(resolution,[],[f449,f207]) ).
fof(f449,plain,
! [X0] : element(union(empty_set),powerset(X0)),
inference(subsumption_resolution,[],[f446,f227]) ).
fof(f227,plain,
! [X0] : element(empty_set,powerset(X0)),
inference(forward_demodulation,[],[f187,f224]) ).
fof(f224,plain,
! [X0] : empty_set = sK8(X0),
inference(resolution,[],[f162,f188]) ).
fof(f187,plain,
! [X0] : element(sK8(X0),powerset(X0)),
inference(cnf_transformation,[],[f123]) ).
fof(f446,plain,
! [X0] :
( element(union(empty_set),powerset(X0))
| ~ element(empty_set,powerset(powerset(X0))) ),
inference(superposition,[],[f194,f421]) ).
fof(f421,plain,
! [X0] : union(empty_set) = union_of_subsets(X0,empty_set),
inference(resolution,[],[f193,f227]) ).
fof(f194,plain,
! [X0,X1] :
( element(union_of_subsets(X0,X1),powerset(X0))
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( element(union_of_subsets(X0,X1),powerset(X0))
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> element(union_of_subsets(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_setfam_1) ).
fof(f476,plain,
~ spl15_1,
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f468,plain,
( $false
| ~ spl15_1 ),
inference(resolution,[],[f258,f147]) ).
fof(f258,plain,
( ! [X0] : ~ v5_membered(X0)
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f257,plain,
( spl15_1
<=> ! [X0] : ~ v5_membered(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f475,plain,
~ spl15_1,
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f472,plain,
( $false
| ~ spl15_1 ),
inference(resolution,[],[f258,f221]) ).
fof(f221,plain,
! [X0] : v5_membered(sK8(X0)),
inference(resolution,[],[f219,f188]) ).
fof(f219,plain,
! [X0] :
( ~ empty(X0)
| v5_membered(X0) ),
inference(resolution,[],[f168,f167]) ).
fof(f167,plain,
! [X0] :
( ~ sP1(X0)
| v5_membered(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f168,plain,
! [X0] :
( sP1(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( sP1(X0)
| ~ empty(X0) ),
inference(definition_folding,[],[f77,f105]) ).
fof(f77,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( empty(X0)
=> ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc15_membered) ).
fof(f474,plain,
~ spl15_1,
inference(avatar_contradiction_clause,[],[f473]) ).
fof(f473,plain,
( $false
| ~ spl15_1 ),
inference(resolution,[],[f258,f214]) ).
fof(f214,plain,
v5_membered(sK13),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( v5_membered(sK13)
& v4_membered(sK13)
& v3_membered(sK13)
& v2_membered(sK13)
& v1_membered(sK13)
& ~ empty(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f34,f133]) ).
fof(f133,plain,
( ? [X0] :
( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0)
& ~ empty(X0) )
=> ( v5_membered(sK13)
& v4_membered(sK13)
& v3_membered(sK13)
& v2_membered(sK13)
& v1_membered(sK13)
& ~ empty(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f34,axiom,
? [X0] :
( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_membered) ).
fof(f467,plain,
( spl15_1
| spl15_15 ),
inference(avatar_split_clause,[],[f459,f464,f257]) ).
fof(f464,plain,
( spl15_15
<=> sP0(union(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f459,plain,
! [X0] :
( sP0(union(empty_set))
| ~ v5_membered(X0) ),
inference(resolution,[],[f449,f161]) ).
fof(f161,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| sP0(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( sP0(X1)
| ~ element(X1,powerset(X0)) )
| ~ v5_membered(X0) ),
inference(definition_folding,[],[f75,f103]) ).
fof(f103,plain,
! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ sP0(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ element(X1,powerset(X0)) )
| ~ v5_membered(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( v5_membered(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc20_membered) ).
fof(f415,plain,
( ~ spl15_11
| spl15_13 ),
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f414,plain,
( $false
| ~ spl15_11
| spl15_13 ),
inference(subsumption_resolution,[],[f413,f390]) ).
fof(f413,plain,
( empty(sK6(sK3))
| ~ spl15_11 ),
inference(resolution,[],[f356,f273]) ).
fof(f356,plain,
( ! [X0] : ~ in(X0,sK6(sK3))
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f355,plain,
( spl15_11
<=> ! [X0] : ~ in(X0,sK6(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f412,plain,
~ spl15_13,
inference(avatar_contradiction_clause,[],[f411]) ).
fof(f411,plain,
( $false
| ~ spl15_13 ),
inference(subsumption_resolution,[],[f410,f137]) ).
fof(f410,plain,
( empty_carrier(sK3)
| ~ spl15_13 ),
inference(subsumption_resolution,[],[f406,f138]) ).
fof(f406,plain,
( ~ one_sorted_str(sK3)
| empty_carrier(sK3)
| ~ spl15_13 ),
inference(resolution,[],[f391,f185]) ).
fof(f185,plain,
! [X0] :
( ~ empty(sK6(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f391,plain,
( empty(sK6(sK3))
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f405,plain,
( spl15_3
| ~ spl15_12 ),
inference(avatar_contradiction_clause,[],[f404]) ).
fof(f404,plain,
( $false
| spl15_3
| ~ spl15_12 ),
inference(subsumption_resolution,[],[f400,f289]) ).
fof(f400,plain,
( v5_membered(cast_as_carrier_subset(sK3))
| ~ spl15_12 ),
inference(resolution,[],[f359,f219]) ).
fof(f359,plain,
( empty(cast_as_carrier_subset(sK3))
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f403,plain,
~ spl15_12,
inference(avatar_contradiction_clause,[],[f402]) ).
fof(f402,plain,
( $false
| ~ spl15_12 ),
inference(subsumption_resolution,[],[f401,f137]) ).
fof(f401,plain,
( empty_carrier(sK3)
| ~ spl15_12 ),
inference(subsumption_resolution,[],[f397,f138]) ).
fof(f397,plain,
( ~ one_sorted_str(sK3)
| empty_carrier(sK3)
| ~ spl15_12 ),
inference(resolution,[],[f359,f182]) ).
fof(f396,plain,
( spl15_13
| spl15_14
| spl15_12 ),
inference(avatar_split_clause,[],[f387,f358,f393,f389]) ).
fof(f387,plain,
( in(sK7(sK6(sK3)),cast_as_carrier_subset(sK3))
| empty(sK6(sK3))
| spl15_12 ),
inference(resolution,[],[f386,f273]) ).
fof(f386,plain,
( ! [X0] :
( ~ in(X0,sK6(sK3))
| in(X0,cast_as_carrier_subset(sK3)) )
| spl15_12 ),
inference(subsumption_resolution,[],[f385,f360]) ).
fof(f361,plain,
( spl15_11
| ~ spl15_12 ),
inference(avatar_split_clause,[],[f348,f358,f355]) ).
fof(f348,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(sK3))
| ~ in(X0,sK6(sK3)) ),
inference(resolution,[],[f344,f207]) ).
fof(f335,plain,
( ~ spl15_9
| spl15_10 ),
inference(avatar_split_clause,[],[f250,f332,f328]) ).
fof(f328,plain,
( spl15_9
<=> v5_membered(cast_as_carrier_subset(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f332,plain,
( spl15_10
<=> sP0(cast_as_carrier_subset(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f250,plain,
( sP0(cast_as_carrier_subset(sK14))
| ~ v5_membered(cast_as_carrier_subset(sK14)) ),
inference(resolution,[],[f161,f244]) ).
fof(f244,plain,
element(cast_as_carrier_subset(sK14),powerset(cast_as_carrier_subset(sK14))),
inference(subsumption_resolution,[],[f241,f215]) ).
fof(f241,plain,
( element(cast_as_carrier_subset(sK14),powerset(cast_as_carrier_subset(sK14)))
| ~ one_sorted_str(sK14) ),
inference(superposition,[],[f152,f230]) ).
fof(f152,plain,
! [X0] :
( element(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( element(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( one_sorted_str(X0)
=> element(cast_as_carrier_subset(X0),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_pre_topc) ).
fof(f326,plain,
( ~ spl15_7
| spl15_8 ),
inference(avatar_split_clause,[],[f249,f323,f319]) ).
fof(f319,plain,
( spl15_7
<=> v5_membered(cast_as_carrier_subset(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f323,plain,
( spl15_8
<=> sP0(cast_as_carrier_subset(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f249,plain,
( sP0(cast_as_carrier_subset(sK12))
| ~ v5_membered(cast_as_carrier_subset(sK12)) ),
inference(resolution,[],[f161,f243]) ).
fof(f243,plain,
element(cast_as_carrier_subset(sK12),powerset(cast_as_carrier_subset(sK12))),
inference(subsumption_resolution,[],[f240,f208]) ).
fof(f240,plain,
( element(cast_as_carrier_subset(sK12),powerset(cast_as_carrier_subset(sK12)))
| ~ one_sorted_str(sK12) ),
inference(superposition,[],[f152,f229]) ).
fof(f314,plain,
( spl15_5
| spl15_6 ),
inference(avatar_split_clause,[],[f305,f312,f309]) ).
fof(f305,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,empty_set) ),
inference(resolution,[],[f207,f227]) ).
fof(f294,plain,
( ~ spl15_3
| spl15_4 ),
inference(avatar_split_clause,[],[f248,f291,f287]) ).
fof(f248,plain,
( sP0(cast_as_carrier_subset(sK3))
| ~ v5_membered(cast_as_carrier_subset(sK3)) ),
inference(resolution,[],[f161,f242]) ).
fof(f242,plain,
element(cast_as_carrier_subset(sK3),powerset(cast_as_carrier_subset(sK3))),
inference(subsumption_resolution,[],[f239,f138]) ).
fof(f239,plain,
( element(cast_as_carrier_subset(sK3),powerset(cast_as_carrier_subset(sK3)))
| ~ one_sorted_str(sK3) ),
inference(superposition,[],[f152,f228]) ).
fof(f263,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f252,f260,f257]) ).
fof(f252,plain,
! [X0] :
( sP0(empty_set)
| ~ v5_membered(X0) ),
inference(resolution,[],[f161,f227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU325+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Apr 29 20:36:31 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (5969)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (5980)WARNING: value z3 for option sas not known
% 0.15/0.39 % (5978)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (5982)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)
% 0.15/0.39 % (5981)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (5983)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)
% 0.15/0.39 % (5980)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)
% 0.15/0.39 % (5984)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)
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 % (5979)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.41 TRYING [1]
% 0.15/0.41 TRYING [2]
% 0.15/0.41 TRYING [4]
% 0.15/0.42 % (5980)First to succeed.
% 0.15/0.42 TRYING [3]
% 0.15/0.42 % (5980)Refutation found. Thanks to Tanya!
% 0.15/0.42 % SZS status Theorem for theBenchmark
% 0.15/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.43 % (5980)------------------------------
% 0.15/0.43 % (5980)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.43 % (5980)Termination reason: Refutation
% 0.15/0.43
% 0.15/0.43 % (5980)Memory used [KB]: 1074
% 0.15/0.43 % (5980)Time elapsed: 0.033 s
% 0.15/0.43 % (5980)Instructions burned: 33 (million)
% 0.15/0.43 % (5980)------------------------------
% 0.15/0.43 % (5980)------------------------------
% 0.15/0.43 % (5969)Success in time 0.061 s
% 0.15/0.43 5979 Aborted by signal SIGHUP on /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.43 % (5979)------------------------------
% 0.15/0.43 % (5979)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.43 % (5979)Termination reason: Unknown
% 0.15/0.43 % (5979)Termination phase: Finite model building preprocessing
% 0.15/0.43
% 0.15/0.43 % (5979)Memory used [KB]: 1113
% 0.15/0.43 % (5979)Time elapsed: 0.028 s
% 0.15/0.43 % (5979)Instructions burned: 16 (million)
% 0.15/0.43 % (5979)------------------------------
% 0.15/0.43 % (5979)------------------------------
% 0.15/0.43 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
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%------------------------------------------------------------------------------