TSTP Solution File: SEU375+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU375+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.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 03:52:25 EDT 2024
% Result : Theorem 0.58s 0.75s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 109 ( 25 unt; 1 typ; 0 def)
% Number of atoms : 974 ( 49 equ)
% Maximal formula atoms : 28 ( 9 avg)
% Number of connectives : 657 ( 237 ~; 198 |; 176 &)
% ( 5 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 446 ( 446 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 26 ( 24 usr; 11 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 179 ( 115 !; 63 ?; 43 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_18,type,
sQ12_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f189,plain,
$false,
inference(avatar_sat_refutation,[],[f162,f171,f178,f186]) ).
tff(f186,plain,
~ spl13_1,
inference(avatar_contradiction_clause,[],[f185]) ).
tff(f185,plain,
( $false
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f184,f116]) ).
tff(f116,plain,
element(sK6,the_carrier(sK1)),
inference(definition_unfolding,[],[f90,f94]) ).
tff(f94,plain,
sK4 = sK6,
inference(cnf_transformation,[],[f70]) ).
tff(f70,plain,
( ~ related(sK2,sK5,sK6)
& related(sK1,sK3,sK4)
& ( sK4 = sK6 )
& ( sK3 = sK5 )
& element(sK6,the_carrier(sK2))
& element(sK5,the_carrier(sK2))
& element(sK4,the_carrier(sK1))
& element(sK3,the_carrier(sK1))
& subnetstr(sK2,sK0,sK1)
& full_subnetstr(sK2,sK0,sK1)
& ~ empty_carrier(sK2)
& net_str(sK1,sK0)
& ~ empty_carrier(sK1)
& one_sorted_str(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f45,f69,f68,f67,f66,f65,f64,f63]) ).
tff(f63,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& related(X1,X3,X4)
& ( X4 = X6 )
& ( X3 = X5 )
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
& subnetstr(X2,X0,X1)
& full_subnetstr(X2,X0,X1)
& ~ empty_carrier(X2) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& related(X1,X3,X4)
& ( X4 = X6 )
& ( X3 = X5 )
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
& subnetstr(X2,sK0,X1)
& full_subnetstr(X2,sK0,X1)
& ~ empty_carrier(X2) )
& net_str(X1,sK0)
& ~ empty_carrier(X1) )
& one_sorted_str(sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f64,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& related(X1,X3,X4)
& ( X4 = X6 )
& ( X3 = X5 )
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
& subnetstr(X2,sK0,X1)
& full_subnetstr(X2,sK0,X1)
& ~ empty_carrier(X2) )
& net_str(X1,sK0)
& ~ empty_carrier(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& related(sK1,X3,X4)
& ( X4 = X6 )
& ( X3 = X5 )
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(sK1)) )
& element(X3,the_carrier(sK1)) )
& subnetstr(X2,sK0,sK1)
& full_subnetstr(X2,sK0,sK1)
& ~ empty_carrier(X2) )
& net_str(sK1,sK0)
& ~ empty_carrier(sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f65,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& related(sK1,X3,X4)
& ( X4 = X6 )
& ( X3 = X5 )
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(sK1)) )
& element(X3,the_carrier(sK1)) )
& subnetstr(X2,sK0,sK1)
& full_subnetstr(X2,sK0,sK1)
& ~ empty_carrier(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(sK2,X5,X6)
& related(sK1,X3,X4)
& ( X4 = X6 )
& ( X3 = X5 )
& element(X6,the_carrier(sK2)) )
& element(X5,the_carrier(sK2)) )
& element(X4,the_carrier(sK1)) )
& element(X3,the_carrier(sK1)) )
& subnetstr(sK2,sK0,sK1)
& full_subnetstr(sK2,sK0,sK1)
& ~ empty_carrier(sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f66,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(sK2,X5,X6)
& related(sK1,X3,X4)
& ( X4 = X6 )
& ( X3 = X5 )
& element(X6,the_carrier(sK2)) )
& element(X5,the_carrier(sK2)) )
& element(X4,the_carrier(sK1)) )
& element(X3,the_carrier(sK1)) )
=> ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(sK2,X5,X6)
& related(sK1,sK3,X4)
& ( X4 = X6 )
& ( sK3 = X5 )
& element(X6,the_carrier(sK2)) )
& element(X5,the_carrier(sK2)) )
& element(X4,the_carrier(sK1)) )
& element(sK3,the_carrier(sK1)) ) ),
introduced(choice_axiom,[]) ).
tff(f67,plain,
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(sK2,X5,X6)
& related(sK1,sK3,X4)
& ( X4 = X6 )
& ( sK3 = X5 )
& element(X6,the_carrier(sK2)) )
& element(X5,the_carrier(sK2)) )
& element(X4,the_carrier(sK1)) )
=> ( ? [X5] :
( ? [X6] :
( ~ related(sK2,X5,X6)
& related(sK1,sK3,sK4)
& ( sK4 = X6 )
& ( sK3 = X5 )
& element(X6,the_carrier(sK2)) )
& element(X5,the_carrier(sK2)) )
& element(sK4,the_carrier(sK1)) ) ),
introduced(choice_axiom,[]) ).
tff(f68,plain,
( ? [X5] :
( ? [X6] :
( ~ related(sK2,X5,X6)
& related(sK1,sK3,sK4)
& ( sK4 = X6 )
& ( sK3 = X5 )
& element(X6,the_carrier(sK2)) )
& element(X5,the_carrier(sK2)) )
=> ( ? [X6] :
( ~ related(sK2,sK5,X6)
& related(sK1,sK3,sK4)
& ( sK4 = X6 )
& ( sK3 = sK5 )
& element(X6,the_carrier(sK2)) )
& element(sK5,the_carrier(sK2)) ) ),
introduced(choice_axiom,[]) ).
tff(f69,plain,
( ? [X6] :
( ~ related(sK2,sK5,X6)
& related(sK1,sK3,sK4)
& ( sK4 = X6 )
& ( sK3 = sK5 )
& element(X6,the_carrier(sK2)) )
=> ( ~ related(sK2,sK5,sK6)
& related(sK1,sK3,sK4)
& ( sK4 = sK6 )
& ( sK3 = sK5 )
& element(sK6,the_carrier(sK2)) ) ),
introduced(choice_axiom,[]) ).
tff(f45,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& related(X1,X3,X4)
& ( X4 = X6 )
& ( X3 = X5 )
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
& subnetstr(X2,X0,X1)
& full_subnetstr(X2,X0,X1)
& ~ empty_carrier(X2) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0) ),
inference(flattening,[],[f44]) ).
tff(f44,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& related(X1,X3,X4)
& ( X4 = X6 )
& ( X3 = X5 )
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
& subnetstr(X2,X0,X1)
& full_subnetstr(X2,X0,X1)
& ~ empty_carrier(X2) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0) ),
inference(ennf_transformation,[],[f36]) ).
tff(f36,negated_conjecture,
~ ! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( ( subnetstr(X2,X0,X1)
& full_subnetstr(X2,X0,X1)
& ~ empty_carrier(X2) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( related(X1,X3,X4)
& ( X4 = X6 )
& ( X3 = X5 ) )
=> related(X2,X5,X6) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f35]) ).
tff(f35,conjecture,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( ( subnetstr(X2,X0,X1)
& full_subnetstr(X2,X0,X1)
& ~ empty_carrier(X2) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( related(X1,X3,X4)
& ( X4 = X6 )
& ( X3 = X5 ) )
=> related(X2,X5,X6) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Yh1VcZFPM8/Vampire---4.8_18408',t21_yellow_6) ).
tff(f90,plain,
element(sK4,the_carrier(sK1)),
inference(cnf_transformation,[],[f70]) ).
tff(f184,plain,
( ~ element(sK6,the_carrier(sK1))
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f183,f117]) ).
tff(f117,plain,
element(sK5,the_carrier(sK1)),
inference(definition_unfolding,[],[f89,f93]) ).
tff(f93,plain,
sK3 = sK5,
inference(cnf_transformation,[],[f70]) ).
tff(f89,plain,
element(sK3,the_carrier(sK1)),
inference(cnf_transformation,[],[f70]) ).
tff(f183,plain,
( ~ element(sK5,the_carrier(sK1))
| ~ element(sK6,the_carrier(sK1))
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f182,f143]) ).
tff(f143,plain,
subrelstr(sK2,sK1),
inference(subsumption_resolution,[],[f142,f83]) ).
tff(f83,plain,
one_sorted_str(sK0),
inference(cnf_transformation,[],[f70]) ).
tff(f142,plain,
( subrelstr(sK2,sK1)
| ~ one_sorted_str(sK0) ),
inference(subsumption_resolution,[],[f141,f85]) ).
tff(f85,plain,
net_str(sK1,sK0),
inference(cnf_transformation,[],[f70]) ).
tff(f141,plain,
( subrelstr(sK2,sK1)
| ~ net_str(sK1,sK0)
| ~ one_sorted_str(sK0) ),
inference(subsumption_resolution,[],[f140,f88]) ).
tff(f88,plain,
subnetstr(sK2,sK0,sK1),
inference(cnf_transformation,[],[f70]) ).
tff(f140,plain,
( subrelstr(sK2,sK1)
| ~ subnetstr(sK2,sK0,sK1)
| ~ net_str(sK1,sK0)
| ~ one_sorted_str(sK0) ),
inference(resolution,[],[f110,f87]) ).
tff(f87,plain,
full_subnetstr(sK2,sK0,sK1),
inference(cnf_transformation,[],[f70]) ).
tff(f110,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ full_subnetstr(X2,X0,X1)
| subrelstr(X2,X1)
| ~ subnetstr(X2,X0,X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f80]) ).
tff(f80,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( full_subnetstr(X2,X0,X1)
| ~ subrelstr(X2,X1)
| ~ full_subrelstr(X2,X1) )
& ( ( subrelstr(X2,X1)
& full_subrelstr(X2,X1) )
| ~ full_subnetstr(X2,X0,X1) ) )
| ~ subnetstr(X2,X0,X1) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f79]) ).
tff(f79,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( full_subnetstr(X2,X0,X1)
| ~ subrelstr(X2,X1)
| ~ full_subrelstr(X2,X1) )
& ( ( subrelstr(X2,X1)
& full_subrelstr(X2,X1) )
| ~ full_subnetstr(X2,X0,X1) ) )
| ~ subnetstr(X2,X0,X1) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(nnf_transformation,[],[f59]) ).
tff(f59,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( full_subnetstr(X2,X0,X1)
<=> ( subrelstr(X2,X1)
& full_subrelstr(X2,X1) ) )
| ~ subnetstr(X2,X0,X1) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> ( full_subnetstr(X2,X0,X1)
<=> ( subrelstr(X2,X1)
& full_subrelstr(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Yh1VcZFPM8/Vampire---4.8_18408',d9_yellow_6) ).
tff(f182,plain,
( ~ subrelstr(sK2,sK1)
| ~ element(sK5,the_carrier(sK1))
| ~ element(sK6,the_carrier(sK1))
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f181,f137]) ).
tff(f137,plain,
full_subrelstr(sK2,sK1),
inference(subsumption_resolution,[],[f136,f83]) ).
tff(f136,plain,
( full_subrelstr(sK2,sK1)
| ~ one_sorted_str(sK0) ),
inference(subsumption_resolution,[],[f135,f85]) ).
tff(f135,plain,
( full_subrelstr(sK2,sK1)
| ~ net_str(sK1,sK0)
| ~ one_sorted_str(sK0) ),
inference(subsumption_resolution,[],[f134,f88]) ).
tff(f134,plain,
( full_subrelstr(sK2,sK1)
| ~ subnetstr(sK2,sK0,sK1)
| ~ net_str(sK1,sK0)
| ~ one_sorted_str(sK0) ),
inference(resolution,[],[f109,f87]) ).
tff(f109,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ full_subnetstr(X2,X0,X1)
| full_subrelstr(X2,X1)
| ~ subnetstr(X2,X0,X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f80]) ).
tff(f181,plain,
( ~ full_subrelstr(sK2,sK1)
| ~ subrelstr(sK2,sK1)
| ~ element(sK5,the_carrier(sK1))
| ~ element(sK6,the_carrier(sK1))
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f179,f128]) ).
tff(f128,plain,
rel_str(sK1),
inference(subsumption_resolution,[],[f125,f83]) ).
tff(f125,plain,
( rel_str(sK1)
| ~ one_sorted_str(sK0) ),
inference(resolution,[],[f107,f85]) ).
tff(f107,plain,
! [X0: $i,X1: $i] :
( ~ net_str(X1,X0)
| rel_str(X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f57]) ).
tff(f57,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f11]) ).
tff(f11,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Yh1VcZFPM8/Vampire---4.8_18408',dt_l1_waybel_0) ).
tff(f179,plain,
( ~ rel_str(sK1)
| ~ full_subrelstr(sK2,sK1)
| ~ subrelstr(sK2,sK1)
| ~ element(sK5,the_carrier(sK1))
| ~ element(sK6,the_carrier(sK1))
| ~ spl13_1 ),
inference(resolution,[],[f153,f115]) ).
tff(f115,plain,
related(sK1,sK5,sK6),
inference(definition_unfolding,[],[f95,f93,f94]) ).
tff(f95,plain,
related(sK1,sK3,sK4),
inference(cnf_transformation,[],[f70]) ).
tff(f153,plain,
( ! [X0: $i] :
( ~ related(X0,sK5,sK6)
| ~ rel_str(X0)
| ~ full_subrelstr(sK2,X0)
| ~ subrelstr(sK2,X0)
| ~ element(sK5,the_carrier(X0))
| ~ element(sK6,the_carrier(X0)) )
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f152]) ).
tff(f152,plain,
( spl13_1
<=> ! [X0] :
( ~ related(X0,sK5,sK6)
| ~ rel_str(X0)
| ~ full_subrelstr(sK2,X0)
| ~ subrelstr(sK2,X0)
| ~ element(sK5,the_carrier(X0))
| ~ element(sK6,the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
tff(f178,plain,
spl13_3,
inference(avatar_contradiction_clause,[],[f177]) ).
tff(f177,plain,
( $false
| spl13_3 ),
inference(subsumption_resolution,[],[f176,f139]) ).
tff(f139,plain,
rel_str(sK2),
inference(subsumption_resolution,[],[f138,f83]) ).
tff(f138,plain,
( rel_str(sK2)
| ~ one_sorted_str(sK0) ),
inference(resolution,[],[f133,f107]) ).
tff(f133,plain,
net_str(sK2,sK0),
inference(subsumption_resolution,[],[f132,f83]) ).
tff(f132,plain,
( net_str(sK2,sK0)
| ~ one_sorted_str(sK0) ),
inference(subsumption_resolution,[],[f129,f85]) ).
tff(f129,plain,
( net_str(sK2,sK0)
| ~ net_str(sK1,sK0)
| ~ one_sorted_str(sK0) ),
inference(resolution,[],[f106,f88]) ).
tff(f106,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ subnetstr(X2,X0,X1)
| net_str(X2,X0)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f56]) ).
tff(f56,plain,
! [X0,X1] :
( ! [X2] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1) )
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f55]) ).
tff(f55,plain,
! [X0,X1] :
( ! [X2] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1) )
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f14]) ).
tff(f14,axiom,
! [X0,X1] :
( ( net_str(X1,X0)
& one_sorted_str(X0) )
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> net_str(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Yh1VcZFPM8/Vampire---4.8_18408',dt_m1_yellow_6) ).
tff(f176,plain,
( ~ rel_str(sK2)
| spl13_3 ),
inference(resolution,[],[f175,f108]) ).
tff(f108,plain,
! [X0: $i] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f58]) ).
tff(f58,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.Yh1VcZFPM8/Vampire---4.8_18408',dt_l1_orders_2) ).
tff(f175,plain,
( ~ one_sorted_str(sK2)
| spl13_3 ),
inference(subsumption_resolution,[],[f174,f86]) ).
tff(f86,plain,
~ empty_carrier(sK2),
inference(cnf_transformation,[],[f70]) ).
tff(f174,plain,
( ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| spl13_3 ),
inference(resolution,[],[f173,f100]) ).
tff(f100,plain,
! [X0: $i] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f51]) ).
tff(f51,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f50]) ).
tff(f50,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f23]) ).
tff(f23,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.Yh1VcZFPM8/Vampire---4.8_18408',fc1_struct_0) ).
tff(f173,plain,
( empty(the_carrier(sK2))
| spl13_3 ),
inference(subsumption_resolution,[],[f172,f92]) ).
tff(f92,plain,
element(sK6,the_carrier(sK2)),
inference(cnf_transformation,[],[f70]) ).
tff(f172,plain,
( empty(the_carrier(sK2))
| ~ element(sK6,the_carrier(sK2))
| spl13_3 ),
inference(resolution,[],[f161,f112]) ).
tff(f112,plain,
! [X0: $i,X1: $i] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
tff(f61,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f60]) ).
tff(f60,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
tff(f37,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Yh1VcZFPM8/Vampire---4.8_18408',t2_subset) ).
tff(f161,plain,
( ~ in(sK6,the_carrier(sK2))
| spl13_3 ),
inference(avatar_component_clause,[],[f159]) ).
tff(f159,plain,
( spl13_3
<=> in(sK6,the_carrier(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
tff(f171,plain,
spl13_2,
inference(avatar_contradiction_clause,[],[f170]) ).
tff(f170,plain,
( $false
| spl13_2 ),
inference(subsumption_resolution,[],[f169,f139]) ).
tff(f169,plain,
( ~ rel_str(sK2)
| spl13_2 ),
inference(resolution,[],[f166,f108]) ).
tff(f166,plain,
( ~ one_sorted_str(sK2)
| spl13_2 ),
inference(subsumption_resolution,[],[f165,f86]) ).
tff(f165,plain,
( ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| spl13_2 ),
inference(resolution,[],[f164,f100]) ).
tff(f164,plain,
( empty(the_carrier(sK2))
| spl13_2 ),
inference(subsumption_resolution,[],[f163,f91]) ).
tff(f91,plain,
element(sK5,the_carrier(sK2)),
inference(cnf_transformation,[],[f70]) ).
tff(f163,plain,
( empty(the_carrier(sK2))
| ~ element(sK5,the_carrier(sK2))
| spl13_2 ),
inference(resolution,[],[f157,f112]) ).
tff(f157,plain,
( ~ in(sK5,the_carrier(sK2))
| spl13_2 ),
inference(avatar_component_clause,[],[f155]) ).
tff(f155,plain,
( spl13_2
<=> in(sK5,the_carrier(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
tff(f162,plain,
( spl13_1
| ~ spl13_2
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f150,f159,f155,f152]) ).
tff(f150,plain,
! [X0: $i] :
( ~ in(sK6,the_carrier(sK2))
| ~ in(sK5,the_carrier(sK2))
| ~ related(X0,sK5,sK6)
| ~ element(sK6,the_carrier(X0))
| ~ element(sK5,the_carrier(X0))
| ~ subrelstr(sK2,X0)
| ~ full_subrelstr(sK2,X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f149,f96]) ).
tff(f96,plain,
~ related(sK2,sK5,sK6),
inference(cnf_transformation,[],[f70]) ).
tff(f149,plain,
! [X0: $i,X1: $i,X4: $i,X5: $i] :
( related(X1,X4,X5)
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ related(X0,X4,X5)
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(subsumption_resolution,[],[f148,f113]) ).
tff(f113,plain,
! [X0: $i,X1: $i] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
tff(f62,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
tff(f34,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.Yh1VcZFPM8/Vampire---4.8_18408',t1_subset) ).
tff(f148,plain,
! [X0: $i,X1: $i,X4: $i,X5: $i] :
( related(X1,X4,X5)
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ related(X0,X4,X5)
| ~ element(X4,the_carrier(X1))
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(subsumption_resolution,[],[f119,f113]) ).
tff(f119,plain,
! [X0: $i,X1: $i,X4: $i,X5: $i] :
( related(X1,X4,X5)
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ related(X0,X4,X5)
| ~ element(X5,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(equality_resolution,[],[f118]) ).
tff(f118,plain,
! [X2: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( related(X1,X4,X5)
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ related(X0,X2,X5)
| ( X2 != X4 )
| ~ element(X5,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ element(X5,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(equality_resolution,[],[f99]) ).
tff(f99,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( related(X1,X4,X5)
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ related(X0,X2,X3)
| ( X3 != X5 )
| ( X2 != X4 )
| ~ element(X5,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ element(X3,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f49]) ).
tff(f49,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( related(X1,X4,X5)
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ related(X0,X2,X3)
| ( X3 != X5 )
| ( X2 != X4 )
| ~ element(X5,the_carrier(X1)) )
| ~ element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0) )
| ~ rel_str(X0) ),
inference(flattening,[],[f48]) ).
tff(f48,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( related(X1,X4,X5)
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ related(X0,X2,X3)
| ( X3 != X5 )
| ( X2 != X4 )
| ~ element(X5,the_carrier(X1)) )
| ~ element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f38]) ).
tff(f38,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( ( subrelstr(X1,X0)
& full_subrelstr(X1,X0) )
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X1))
=> ( ( in(X5,the_carrier(X1))
& in(X4,the_carrier(X1))
& related(X0,X2,X3)
& ( X3 = X5 )
& ( X2 = X4 ) )
=> related(X1,X4,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Yh1VcZFPM8/Vampire---4.8_18408',t61_yellow_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU375+1 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 16:12:20 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.Yh1VcZFPM8/Vampire---4.8_18408
% 0.58/0.74 % (18746)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)
% 0.58/0.75 % (18739)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)
% 0.58/0.75 % (18741)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (18740)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)
% 0.58/0.75 % (18742)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)
% 0.58/0.75 % (18743)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)
% 0.58/0.75 % (18744)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)
% 0.58/0.75 % (18745)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)
% 0.58/0.75 % (18746)Refutation not found, incomplete strategy% (18746)------------------------------
% 0.58/0.75 % (18746)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (18746)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (18746)Memory used [KB]: 1081
% 0.58/0.75 % (18746)Time elapsed: 0.003 s
% 0.58/0.75 % (18746)Instructions burned: 4 (million)
% 0.58/0.75 % (18746)------------------------------
% 0.58/0.75 % (18746)------------------------------
% 0.58/0.75 % (18739)First to succeed.
% 0.58/0.75 % (18748)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)
% 0.58/0.75 % (18744)Also succeeded, but the first one will report.
% 0.58/0.75 % (18739)Refutation found. Thanks to Tanya!
% 0.58/0.75 % SZS status Theorem for Vampire---4
% 0.58/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75 % (18739)------------------------------
% 0.58/0.75 % (18739)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (18739)Termination reason: Refutation
% 0.58/0.75
% 0.58/0.75 % (18739)Memory used [KB]: 1094
% 0.58/0.75 % (18739)Time elapsed: 0.007 s
% 0.58/0.75 % (18739)Instructions burned: 9 (million)
% 0.58/0.75 % (18739)------------------------------
% 0.58/0.75 % (18739)------------------------------
% 0.58/0.75 % (18575)Success in time 0.386 s
% 0.58/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------