TSTP Solution File: SEU109+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU109+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n013.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 : Wed May 1 03:50:05 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 22
% Syntax : Number of formulae : 120 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 938 ( 12 equ)
% Maximal formula atoms : 14 ( 7 avg)
% Number of connectives : 508 ( 205 ~; 199 |; 77 &)
% ( 17 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 516 ( 516 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 27 ( 25 usr; 16 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 113 ( 94 !; 18 ?; 42 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_17,type,
sQ12_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f518,plain,
$false,
inference(avatar_sat_refutation,[],[f164,f232,f248,f274,f335,f351,f383,f432,f460,f465,f483,f507,f517]) ).
tff(f517,plain,
( ~ spl13_11
| ~ spl13_12
| spl13_17 ),
inference(avatar_contradiction_clause,[],[f516]) ).
tff(f516,plain,
( $false
| ~ spl13_11
| ~ spl13_12
| spl13_17 ),
inference(subsumption_resolution,[],[f515,f97]) ).
tff(f97,plain,
preboolean(sK1),
inference(cnf_transformation,[],[f70]) ).
tff(f70,plain,
( ( ~ preboolean(set_intersection2(sK0,sK1))
| empty(set_intersection2(sK0,sK1)) )
& preboolean(sK1)
& ~ empty(sK1)
& preboolean(sK0)
& ~ empty(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f49,f69,f68]) ).
tff(f68,plain,
( ? [X0] :
( ? [X1] :
( ( ~ preboolean(set_intersection2(X0,X1))
| empty(set_intersection2(X0,X1)) )
& preboolean(X1)
& ~ empty(X1) )
& preboolean(X0)
& ~ empty(X0) )
=> ( ? [X1] :
( ( ~ preboolean(set_intersection2(sK0,X1))
| empty(set_intersection2(sK0,X1)) )
& preboolean(X1)
& ~ empty(X1) )
& preboolean(sK0)
& ~ empty(sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f69,plain,
( ? [X1] :
( ( ~ preboolean(set_intersection2(sK0,X1))
| empty(set_intersection2(sK0,X1)) )
& preboolean(X1)
& ~ empty(X1) )
=> ( ( ~ preboolean(set_intersection2(sK0,sK1))
| empty(set_intersection2(sK0,sK1)) )
& preboolean(sK1)
& ~ empty(sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f49,plain,
? [X0] :
( ? [X1] :
( ( ~ preboolean(set_intersection2(X0,X1))
| empty(set_intersection2(X0,X1)) )
& preboolean(X1)
& ~ empty(X1) )
& preboolean(X0)
& ~ empty(X0) ),
inference(flattening,[],[f48]) ).
tff(f48,plain,
? [X0] :
( ? [X1] :
( ( ~ preboolean(set_intersection2(X0,X1))
| empty(set_intersection2(X0,X1)) )
& preboolean(X1)
& ~ empty(X1) )
& preboolean(X0)
& ~ empty(X0) ),
inference(ennf_transformation,[],[f36]) ).
tff(f36,negated_conjecture,
~ ! [X0] :
( ( preboolean(X0)
& ~ empty(X0) )
=> ! [X1] :
( ( preboolean(X1)
& ~ empty(X1) )
=> ( preboolean(set_intersection2(X0,X1))
& ~ empty(set_intersection2(X0,X1)) ) ) ),
inference(negated_conjecture,[],[f35]) ).
tff(f35,conjecture,
! [X0] :
( ( preboolean(X0)
& ~ empty(X0) )
=> ! [X1] :
( ( preboolean(X1)
& ~ empty(X1) )
=> ( preboolean(set_intersection2(X0,X1))
& ~ empty(set_intersection2(X0,X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OIBkSPt702/Vampire---4.8_9291',t21_finsub_1) ).
tff(f515,plain,
( ~ preboolean(sK1)
| ~ spl13_11
| ~ spl13_12
| spl13_17 ),
inference(subsumption_resolution,[],[f514,f345]) ).
tff(f345,plain,
( in(sK10(set_intersection2(sK0,sK1)),sK1)
| ~ spl13_11 ),
inference(avatar_component_clause,[],[f344]) ).
tff(f344,plain,
( spl13_11
<=> in(sK10(set_intersection2(sK0,sK1)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
tff(f514,plain,
( ~ in(sK10(set_intersection2(sK0,sK1)),sK1)
| ~ preboolean(sK1)
| ~ spl13_12
| spl13_17 ),
inference(subsumption_resolution,[],[f512,f349]) ).
tff(f349,plain,
( in(sK11(set_intersection2(sK0,sK1)),sK1)
| ~ spl13_12 ),
inference(avatar_component_clause,[],[f348]) ).
tff(f348,plain,
( spl13_12
<=> in(sK11(set_intersection2(sK0,sK1)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
tff(f512,plain,
( ~ in(sK11(set_intersection2(sK0,sK1)),sK1)
| ~ in(sK10(set_intersection2(sK0,sK1)),sK1)
| ~ preboolean(sK1)
| spl13_17 ),
inference(resolution,[],[f482,f132]) ).
tff(f132,plain,
! [X3: $i,X0: $i,X4: $i] :
( in(set_difference(X3,X4),X0)
| ~ in(X4,X0)
| ~ in(X3,X0)
| ~ preboolean(X0) ),
inference(cnf_transformation,[],[f93]) ).
tff(f93,plain,
! [X0] :
( ( preboolean(X0)
| ( ( ~ in(set_difference(sK10(X0),sK11(X0)),X0)
| ~ in(set_union2(sK10(X0),sK11(X0)),X0) )
& in(sK11(X0),X0)
& in(sK10(X0),X0) ) )
& ( ! [X3,X4] :
( ( in(set_difference(X3,X4),X0)
& in(set_union2(X3,X4),X0) )
| ~ in(X4,X0)
| ~ in(X3,X0) )
| ~ preboolean(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f91,f92]) ).
tff(f92,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(sK10(X0),sK11(X0)),X0)
| ~ in(set_union2(sK10(X0),sK11(X0)),X0) )
& in(sK11(X0),X0)
& in(sK10(X0),X0) ) ),
introduced(choice_axiom,[]) ).
tff(f91,plain,
! [X0] :
( ( preboolean(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) )
| ~ preboolean(X0) ) ),
inference(rectify,[],[f90]) ).
tff(f90,plain,
! [X0] :
( ( preboolean(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) )
| ~ preboolean(X0) ) ),
inference(nnf_transformation,[],[f64]) ).
tff(f64,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,[],[f63]) ).
tff(f63,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,[],[f31]) ).
tff(f31,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/sandbox/tmp/tmp.OIBkSPt702/Vampire---4.8_9291',t10_finsub_1) ).
tff(f482,plain,
( ~ in(set_difference(sK10(set_intersection2(sK0,sK1)),sK11(set_intersection2(sK0,sK1))),sK1)
| spl13_17 ),
inference(avatar_component_clause,[],[f480]) ).
tff(f480,plain,
( spl13_17
<=> in(set_difference(sK10(set_intersection2(sK0,sK1)),sK11(set_intersection2(sK0,sK1))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
tff(f507,plain,
( ~ spl13_9
| ~ spl13_10
| spl13_16 ),
inference(avatar_contradiction_clause,[],[f506]) ).
tff(f506,plain,
( $false
| ~ spl13_9
| ~ spl13_10
| spl13_16 ),
inference(subsumption_resolution,[],[f505,f95]) ).
tff(f95,plain,
preboolean(sK0),
inference(cnf_transformation,[],[f70]) ).
tff(f505,plain,
( ~ preboolean(sK0)
| ~ spl13_9
| ~ spl13_10
| spl13_16 ),
inference(subsumption_resolution,[],[f504,f242]) ).
tff(f242,plain,
( in(sK10(set_intersection2(sK0,sK1)),sK0)
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f241]) ).
tff(f241,plain,
( spl13_9
<=> in(sK10(set_intersection2(sK0,sK1)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
tff(f504,plain,
( ~ in(sK10(set_intersection2(sK0,sK1)),sK0)
| ~ preboolean(sK0)
| ~ spl13_10
| spl13_16 ),
inference(subsumption_resolution,[],[f502,f246]) ).
tff(f246,plain,
( in(sK11(set_intersection2(sK0,sK1)),sK0)
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f245]) ).
tff(f245,plain,
( spl13_10
<=> in(sK11(set_intersection2(sK0,sK1)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
tff(f502,plain,
( ~ in(sK11(set_intersection2(sK0,sK1)),sK0)
| ~ in(sK10(set_intersection2(sK0,sK1)),sK0)
| ~ preboolean(sK0)
| spl13_16 ),
inference(resolution,[],[f478,f132]) ).
tff(f478,plain,
( ~ in(set_difference(sK10(set_intersection2(sK0,sK1)),sK11(set_intersection2(sK0,sK1))),sK0)
| spl13_16 ),
inference(avatar_component_clause,[],[f476]) ).
tff(f476,plain,
( spl13_16
<=> in(set_difference(sK10(set_intersection2(sK0,sK1)),sK11(set_intersection2(sK0,sK1))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
tff(f483,plain,
( ~ spl13_16
| ~ spl13_17
| spl13_6 ),
inference(avatar_split_clause,[],[f470,f215,f480,f476]) ).
tff(f215,plain,
( spl13_6
<=> in(set_difference(sK10(set_intersection2(sK0,sK1)),sK11(set_intersection2(sK0,sK1))),set_intersection2(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
tff(f470,plain,
( ~ in(set_difference(sK10(set_intersection2(sK0,sK1)),sK11(set_intersection2(sK0,sK1))),sK1)
| ~ in(set_difference(sK10(set_intersection2(sK0,sK1)),sK11(set_intersection2(sK0,sK1))),sK0)
| spl13_6 ),
inference(resolution,[],[f217,f143]) ).
tff(f143,plain,
! [X0: $i,X1: $i,X4: $i] :
( in(X4,set_intersection2(X0,X1))
| ~ in(X4,X1)
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f125]) ).
tff(f125,plain,
! [X2: $i,X0: $i,X1: $i,X4: $i] :
( in(X4,X2)
| ~ in(X4,X1)
| ~ in(X4,X0)
| ( set_intersection2(X0,X1) != X2 ) ),
inference(cnf_transformation,[],[f89]) ).
tff(f89,plain,
! [X0,X1,X2] :
( ( ( set_intersection2(X0,X1) = X2 )
| ( ( ~ in(sK9(X0,X1,X2),X1)
| ~ in(sK9(X0,X1,X2),X0)
| ~ in(sK9(X0,X1,X2),X2) )
& ( ( in(sK9(X0,X1,X2),X1)
& in(sK9(X0,X1,X2),X0) )
| in(sK9(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X1)
| ~ in(X4,X0) )
& ( ( in(X4,X1)
& in(X4,X0) )
| ~ in(X4,X2) ) )
| ( set_intersection2(X0,X1) != X2 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f87,f88]) ).
tff(f88,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) )
=> ( ( ~ in(sK9(X0,X1,X2),X1)
| ~ in(sK9(X0,X1,X2),X0)
| ~ in(sK9(X0,X1,X2),X2) )
& ( ( in(sK9(X0,X1,X2),X1)
& in(sK9(X0,X1,X2),X0) )
| in(sK9(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
tff(f87,plain,
! [X0,X1,X2] :
( ( ( set_intersection2(X0,X1) = X2 )
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X1)
| ~ in(X4,X0) )
& ( ( in(X4,X1)
& in(X4,X0) )
| ~ in(X4,X2) ) )
| ( set_intersection2(X0,X1) != X2 ) ) ),
inference(rectify,[],[f86]) ).
tff(f86,plain,
! [X0,X1,X2] :
( ( ( set_intersection2(X0,X1) = X2 )
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| ( set_intersection2(X0,X1) != X2 ) ) ),
inference(flattening,[],[f85]) ).
tff(f85,plain,
! [X0,X1,X2] :
( ( ( set_intersection2(X0,X1) = X2 )
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| ( set_intersection2(X0,X1) != X2 ) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f8,axiom,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2 )
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OIBkSPt702/Vampire---4.8_9291',d3_xboole_0) ).
tff(f217,plain,
( ~ in(set_difference(sK10(set_intersection2(sK0,sK1)),sK11(set_intersection2(sK0,sK1))),set_intersection2(sK0,sK1))
| spl13_6 ),
inference(avatar_component_clause,[],[f215]) ).
tff(f465,plain,
( ~ spl13_5
| ~ spl13_6
| spl13_2 ),
inference(avatar_split_clause,[],[f462,f161,f215,f211]) ).
tff(f211,plain,
( spl13_5
<=> in(set_union2(sK10(set_intersection2(sK0,sK1)),sK11(set_intersection2(sK0,sK1))),set_intersection2(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
tff(f161,plain,
( spl13_2
<=> preboolean(set_intersection2(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
tff(f462,plain,
( ~ in(set_difference(sK10(set_intersection2(sK0,sK1)),sK11(set_intersection2(sK0,sK1))),set_intersection2(sK0,sK1))
| ~ in(set_union2(sK10(set_intersection2(sK0,sK1)),sK11(set_intersection2(sK0,sK1))),set_intersection2(sK0,sK1))
| spl13_2 ),
inference(resolution,[],[f163,f135]) ).
tff(f135,plain,
! [X0: $i] :
( preboolean(X0)
| ~ in(set_difference(sK10(X0),sK11(X0)),X0)
| ~ in(set_union2(sK10(X0),sK11(X0)),X0) ),
inference(cnf_transformation,[],[f93]) ).
tff(f163,plain,
( ~ preboolean(set_intersection2(sK0,sK1))
| spl13_2 ),
inference(avatar_component_clause,[],[f161]) ).
tff(f460,plain,
~ spl13_1,
inference(avatar_contradiction_clause,[],[f459]) ).
tff(f459,plain,
( $false
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f458,f94]) ).
tff(f94,plain,
~ empty(sK0),
inference(cnf_transformation,[],[f70]) ).
tff(f458,plain,
( empty(sK0)
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f454,f95]) ).
tff(f454,plain,
( ~ preboolean(sK0)
| empty(sK0)
| ~ spl13_1 ),
inference(resolution,[],[f450,f130]) ).
tff(f130,plain,
! [X0: $i] :
( in(empty_set,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f62]) ).
tff(f62,plain,
! [X0] :
( in(empty_set,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(flattening,[],[f61]) ).
tff(f61,plain,
! [X0] :
( in(empty_set,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f32]) ).
tff(f32,axiom,
! [X0] :
( ( preboolean(X0)
& ~ empty(X0) )
=> in(empty_set,X0) ),
file('/export/starexec/sandbox/tmp/tmp.OIBkSPt702/Vampire---4.8_9291',t18_finsub_1) ).
tff(f450,plain,
( ~ in(empty_set,sK0)
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f449,f96]) ).
tff(f96,plain,
~ empty(sK1),
inference(cnf_transformation,[],[f70]) ).
tff(f449,plain,
( ~ in(empty_set,sK0)
| empty(sK1)
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f443,f97]) ).
tff(f443,plain,
( ~ in(empty_set,sK0)
| ~ preboolean(sK1)
| empty(sK1)
| ~ spl13_1 ),
inference(resolution,[],[f433,f130]) ).
tff(f433,plain,
( ! [X0: $i] :
( ~ in(X0,sK1)
| ~ in(X0,sK0) )
| ~ spl13_1 ),
inference(resolution,[],[f159,f195]) ).
tff(f195,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ empty(set_intersection2(X2,X1))
| ~ in(X0,X2)
| ~ in(X0,X1) ),
inference(resolution,[],[f143,f100]) ).
tff(f100,plain,
! [X0: $i,X1: $i] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f51]) ).
tff(f51,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
tff(f45,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.OIBkSPt702/Vampire---4.8_9291',t7_boole) ).
tff(f159,plain,
( empty(set_intersection2(sK0,sK1))
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f157]) ).
tff(f157,plain,
( spl13_1
<=> empty(set_intersection2(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
tff(f432,plain,
( spl13_2
| spl13_12 ),
inference(avatar_contradiction_clause,[],[f431]) ).
tff(f431,plain,
( $false
| spl13_2
| spl13_12 ),
inference(subsumption_resolution,[],[f427,f163]) ).
tff(f427,plain,
( preboolean(set_intersection2(sK0,sK1))
| spl13_12 ),
inference(resolution,[],[f399,f134]) ).
tff(f134,plain,
! [X0: $i] :
( in(sK11(X0),X0)
| preboolean(X0) ),
inference(cnf_transformation,[],[f93]) ).
tff(f399,plain,
( ! [X0: $i] : ~ in(sK11(set_intersection2(sK0,sK1)),set_intersection2(X0,sK1))
| spl13_12 ),
inference(resolution,[],[f350,f144]) ).
tff(f144,plain,
! [X0: $i,X1: $i,X4: $i] :
( in(X4,X1)
| ~ in(X4,set_intersection2(X0,X1)) ),
inference(equality_resolution,[],[f124]) ).
tff(f124,plain,
! [X2: $i,X0: $i,X1: $i,X4: $i] :
( in(X4,X1)
| ~ in(X4,X2)
| ( set_intersection2(X0,X1) != X2 ) ),
inference(cnf_transformation,[],[f89]) ).
tff(f350,plain,
( ~ in(sK11(set_intersection2(sK0,sK1)),sK1)
| spl13_12 ),
inference(avatar_component_clause,[],[f348]) ).
tff(f383,plain,
( spl13_2
| spl13_11 ),
inference(avatar_split_clause,[],[f372,f344,f161]) ).
tff(f372,plain,
( preboolean(set_intersection2(sK0,sK1))
| spl13_11 ),
inference(resolution,[],[f354,f133]) ).
tff(f133,plain,
! [X0: $i] :
( in(sK10(X0),X0)
| preboolean(X0) ),
inference(cnf_transformation,[],[f93]) ).
tff(f354,plain,
( ! [X0: $i] : ~ in(sK10(set_intersection2(sK0,sK1)),set_intersection2(X0,sK1))
| spl13_11 ),
inference(resolution,[],[f346,f144]) ).
tff(f346,plain,
( ~ in(sK10(set_intersection2(sK0,sK1)),sK1)
| spl13_11 ),
inference(avatar_component_clause,[],[f344]) ).
tff(f351,plain,
( ~ spl13_11
| ~ spl13_12
| spl13_8 ),
inference(avatar_split_clause,[],[f342,f229,f348,f344]) ).
tff(f229,plain,
( spl13_8
<=> in(set_union2(sK10(set_intersection2(sK0,sK1)),sK11(set_intersection2(sK0,sK1))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
tff(f342,plain,
( ~ in(sK11(set_intersection2(sK0,sK1)),sK1)
| ~ in(sK10(set_intersection2(sK0,sK1)),sK1)
| spl13_8 ),
inference(subsumption_resolution,[],[f340,f97]) ).
tff(f340,plain,
( ~ in(sK11(set_intersection2(sK0,sK1)),sK1)
| ~ in(sK10(set_intersection2(sK0,sK1)),sK1)
| ~ preboolean(sK1)
| spl13_8 ),
inference(resolution,[],[f231,f131]) ).
tff(f131,plain,
! [X3: $i,X0: $i,X4: $i] :
( in(set_union2(X3,X4),X0)
| ~ in(X4,X0)
| ~ in(X3,X0)
| ~ preboolean(X0) ),
inference(cnf_transformation,[],[f93]) ).
tff(f231,plain,
( ~ in(set_union2(sK10(set_intersection2(sK0,sK1)),sK11(set_intersection2(sK0,sK1))),sK1)
| spl13_8 ),
inference(avatar_component_clause,[],[f229]) ).
tff(f335,plain,
( spl13_2
| spl13_10 ),
inference(avatar_contradiction_clause,[],[f334]) ).
tff(f334,plain,
( $false
| spl13_2
| spl13_10 ),
inference(subsumption_resolution,[],[f330,f163]) ).
tff(f330,plain,
( preboolean(set_intersection2(sK0,sK1))
| spl13_10 ),
inference(resolution,[],[f306,f134]) ).
tff(f306,plain,
( ! [X0: $i] : ~ in(sK11(set_intersection2(sK0,sK1)),set_intersection2(sK0,X0))
| spl13_10 ),
inference(resolution,[],[f247,f145]) ).
tff(f145,plain,
! [X0: $i,X1: $i,X4: $i] :
( in(X4,X0)
| ~ in(X4,set_intersection2(X0,X1)) ),
inference(equality_resolution,[],[f123]) ).
tff(f123,plain,
! [X2: $i,X0: $i,X1: $i,X4: $i] :
( in(X4,X0)
| ~ in(X4,X2)
| ( set_intersection2(X0,X1) != X2 ) ),
inference(cnf_transformation,[],[f89]) ).
tff(f247,plain,
( ~ in(sK11(set_intersection2(sK0,sK1)),sK0)
| spl13_10 ),
inference(avatar_component_clause,[],[f245]) ).
tff(f274,plain,
( spl13_2
| spl13_9 ),
inference(avatar_contradiction_clause,[],[f273]) ).
tff(f273,plain,
( $false
| spl13_2
| spl13_9 ),
inference(subsumption_resolution,[],[f269,f163]) ).
tff(f269,plain,
( preboolean(set_intersection2(sK0,sK1))
| spl13_9 ),
inference(resolution,[],[f255,f133]) ).
tff(f255,plain,
( ! [X0: $i] : ~ in(sK10(set_intersection2(sK0,sK1)),set_intersection2(sK0,X0))
| spl13_9 ),
inference(resolution,[],[f243,f145]) ).
tff(f243,plain,
( ~ in(sK10(set_intersection2(sK0,sK1)),sK0)
| spl13_9 ),
inference(avatar_component_clause,[],[f241]) ).
tff(f248,plain,
( ~ spl13_9
| ~ spl13_10
| spl13_7 ),
inference(avatar_split_clause,[],[f239,f225,f245,f241]) ).
tff(f225,plain,
( spl13_7
<=> in(set_union2(sK10(set_intersection2(sK0,sK1)),sK11(set_intersection2(sK0,sK1))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
tff(f239,plain,
( ~ in(sK11(set_intersection2(sK0,sK1)),sK0)
| ~ in(sK10(set_intersection2(sK0,sK1)),sK0)
| spl13_7 ),
inference(subsumption_resolution,[],[f237,f95]) ).
tff(f237,plain,
( ~ in(sK11(set_intersection2(sK0,sK1)),sK0)
| ~ in(sK10(set_intersection2(sK0,sK1)),sK0)
| ~ preboolean(sK0)
| spl13_7 ),
inference(resolution,[],[f227,f131]) ).
tff(f227,plain,
( ~ in(set_union2(sK10(set_intersection2(sK0,sK1)),sK11(set_intersection2(sK0,sK1))),sK0)
| spl13_7 ),
inference(avatar_component_clause,[],[f225]) ).
tff(f232,plain,
( ~ spl13_7
| ~ spl13_8
| spl13_5 ),
inference(avatar_split_clause,[],[f219,f211,f229,f225]) ).
tff(f219,plain,
( ~ in(set_union2(sK10(set_intersection2(sK0,sK1)),sK11(set_intersection2(sK0,sK1))),sK1)
| ~ in(set_union2(sK10(set_intersection2(sK0,sK1)),sK11(set_intersection2(sK0,sK1))),sK0)
| spl13_5 ),
inference(resolution,[],[f213,f143]) ).
tff(f213,plain,
( ~ in(set_union2(sK10(set_intersection2(sK0,sK1)),sK11(set_intersection2(sK0,sK1))),set_intersection2(sK0,sK1))
| spl13_5 ),
inference(avatar_component_clause,[],[f211]) ).
tff(f164,plain,
( spl13_1
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f98,f161,f157]) ).
tff(f98,plain,
( ~ preboolean(set_intersection2(sK0,sK1))
| empty(set_intersection2(sK0,sK1)) ),
inference(cnf_transformation,[],[f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU109+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n013.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 : Tue Apr 30 16:02:49 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.OIBkSPt702/Vampire---4.8_9291
% 0.56/0.74 % (9669)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.74 % (9662)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.74 % (9664)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74 % (9665)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.74 % (9666)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.74 % (9663)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.74 % (9667)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.74 % (9669)Refutation not found, incomplete strategy% (9669)------------------------------
% 0.56/0.74 % (9669)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (9668)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.74 % (9669)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (9669)Memory used [KB]: 1052
% 0.56/0.74 % (9669)Time elapsed: 0.002 s
% 0.56/0.74 % (9669)Instructions burned: 3 (million)
% 0.56/0.74 % (9669)------------------------------
% 0.56/0.74 % (9669)------------------------------
% 0.56/0.75 % (9667)Refutation not found, incomplete strategy% (9667)------------------------------
% 0.56/0.75 % (9667)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (9667)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (9667)Memory used [KB]: 1042
% 0.56/0.75 % (9667)Time elapsed: 0.004 s
% 0.56/0.75 % (9667)Instructions burned: 4 (million)
% 0.56/0.75 % (9667)------------------------------
% 0.56/0.75 % (9667)------------------------------
% 0.56/0.75 % (9672)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.56/0.75 % (9673)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.56/0.75 % (9662)First to succeed.
% 0.56/0.75 % (9662)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for Vampire---4
% 0.56/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75 % (9662)------------------------------
% 0.56/0.75 % (9662)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (9662)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (9662)Memory used [KB]: 1193
% 0.56/0.75 % (9662)Time elapsed: 0.012 s
% 0.56/0.75 % (9662)Instructions burned: 17 (million)
% 0.56/0.75 % (9662)------------------------------
% 0.56/0.75 % (9662)------------------------------
% 0.56/0.75 % (9525)Success in time 0.384 s
% 0.56/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------