TSTP Solution File: SEU391+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU391+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n026.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 Aug 31 18:29:39 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 7
% Syntax : Number of formulae : 73 ( 10 unt; 0 def)
% Number of atoms : 364 ( 33 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 438 ( 147 ~; 191 |; 82 &)
% ( 5 <=>; 11 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 99 ( 72 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1069,plain,
$false,
inference(unit_resulting_resolution,[],[f1063,f1046,f1068,f411]) ).
fof(f411,plain,
( ~ element(sK9,powerset(the_carrier(sK7)))
| ~ is_eventually_in(sK7,sK8,sK9)
| ~ in(sK9,filter_of_net_str(sK7,sK8)) ),
inference(cnf_transformation,[],[f287]) ).
fof(f287,plain,
( ~ empty_carrier(sK7)
& one_sorted_str(sK7)
& ( ~ in(sK9,filter_of_net_str(sK7,sK8))
| ~ element(sK9,powerset(the_carrier(sK7)))
| ~ is_eventually_in(sK7,sK8,sK9) )
& ( in(sK9,filter_of_net_str(sK7,sK8))
| ( element(sK9,powerset(the_carrier(sK7)))
& is_eventually_in(sK7,sK8,sK9) ) )
& net_str(sK8,sK7)
& ~ empty_carrier(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f283,f286,f285,f284]) ).
fof(f284,plain,
( ? [X0] :
( ~ empty_carrier(X0)
& one_sorted_str(X0)
& ? [X1] :
( ? [X2] :
( ( ~ in(X2,filter_of_net_str(X0,X1))
| ~ element(X2,powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,X2) )
& ( in(X2,filter_of_net_str(X0,X1))
| ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) ) ) )
& net_str(X1,X0)
& ~ empty_carrier(X1) ) )
=> ( ~ empty_carrier(sK7)
& one_sorted_str(sK7)
& ? [X1] :
( ? [X2] :
( ( ~ in(X2,filter_of_net_str(sK7,X1))
| ~ element(X2,powerset(the_carrier(sK7)))
| ~ is_eventually_in(sK7,X1,X2) )
& ( in(X2,filter_of_net_str(sK7,X1))
| ( element(X2,powerset(the_carrier(sK7)))
& is_eventually_in(sK7,X1,X2) ) ) )
& net_str(X1,sK7)
& ~ empty_carrier(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f285,plain,
( ? [X1] :
( ? [X2] :
( ( ~ in(X2,filter_of_net_str(sK7,X1))
| ~ element(X2,powerset(the_carrier(sK7)))
| ~ is_eventually_in(sK7,X1,X2) )
& ( in(X2,filter_of_net_str(sK7,X1))
| ( element(X2,powerset(the_carrier(sK7)))
& is_eventually_in(sK7,X1,X2) ) ) )
& net_str(X1,sK7)
& ~ empty_carrier(X1) )
=> ( ? [X2] :
( ( ~ in(X2,filter_of_net_str(sK7,sK8))
| ~ element(X2,powerset(the_carrier(sK7)))
| ~ is_eventually_in(sK7,sK8,X2) )
& ( in(X2,filter_of_net_str(sK7,sK8))
| ( element(X2,powerset(the_carrier(sK7)))
& is_eventually_in(sK7,sK8,X2) ) ) )
& net_str(sK8,sK7)
& ~ empty_carrier(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f286,plain,
( ? [X2] :
( ( ~ in(X2,filter_of_net_str(sK7,sK8))
| ~ element(X2,powerset(the_carrier(sK7)))
| ~ is_eventually_in(sK7,sK8,X2) )
& ( in(X2,filter_of_net_str(sK7,sK8))
| ( element(X2,powerset(the_carrier(sK7)))
& is_eventually_in(sK7,sK8,X2) ) ) )
=> ( ( ~ in(sK9,filter_of_net_str(sK7,sK8))
| ~ element(sK9,powerset(the_carrier(sK7)))
| ~ is_eventually_in(sK7,sK8,sK9) )
& ( in(sK9,filter_of_net_str(sK7,sK8))
| ( element(sK9,powerset(the_carrier(sK7)))
& is_eventually_in(sK7,sK8,sK9) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f283,plain,
? [X0] :
( ~ empty_carrier(X0)
& one_sorted_str(X0)
& ? [X1] :
( ? [X2] :
( ( ~ in(X2,filter_of_net_str(X0,X1))
| ~ element(X2,powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,X2) )
& ( in(X2,filter_of_net_str(X0,X1))
| ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) ) ) )
& net_str(X1,X0)
& ~ empty_carrier(X1) ) ),
inference(flattening,[],[f282]) ).
fof(f282,plain,
? [X0] :
( ~ empty_carrier(X0)
& one_sorted_str(X0)
& ? [X1] :
( ? [X2] :
( ( ~ in(X2,filter_of_net_str(X0,X1))
| ~ element(X2,powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,X2) )
& ( in(X2,filter_of_net_str(X0,X1))
| ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) ) ) )
& net_str(X1,X0)
& ~ empty_carrier(X1) ) ),
inference(nnf_transformation,[],[f209]) ).
fof(f209,plain,
? [X0] :
( ~ empty_carrier(X0)
& one_sorted_str(X0)
& ? [X1] :
( ? [X2] :
( ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) )
<~> in(X2,filter_of_net_str(X0,X1)) )
& net_str(X1,X0)
& ~ empty_carrier(X1) ) ),
inference(flattening,[],[f208]) ).
fof(f208,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) )
<~> in(X2,filter_of_net_str(X0,X1)) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& ~ empty_carrier(X0)
& one_sorted_str(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( in(X2,filter_of_net_str(X0,X1))
<=> ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) ) ) ) ),
inference(negated_conjecture,[],[f92]) ).
fof(f92,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( in(X2,filter_of_net_str(X0,X1))
<=> ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_yellow19) ).
fof(f1068,plain,
in(sK9,filter_of_net_str(sK7,sK8)),
inference(duplicate_literal_removal,[],[f1067]) ).
fof(f1067,plain,
( in(sK9,filter_of_net_str(sK7,sK8))
| in(sK9,filter_of_net_str(sK7,sK8)) ),
inference(forward_demodulation,[],[f1066,f649]) ).
fof(f649,plain,
a_2_1_yellow19(sK7,sK8) = filter_of_net_str(sK7,sK8),
inference(subsumption_resolution,[],[f648,f407]) ).
fof(f407,plain,
~ empty_carrier(sK8),
inference(cnf_transformation,[],[f287]) ).
fof(f648,plain,
( a_2_1_yellow19(sK7,sK8) = filter_of_net_str(sK7,sK8)
| empty_carrier(sK8) ),
inference(subsumption_resolution,[],[f647,f412]) ).
fof(f412,plain,
one_sorted_str(sK7),
inference(cnf_transformation,[],[f287]) ).
fof(f647,plain,
( ~ one_sorted_str(sK7)
| a_2_1_yellow19(sK7,sK8) = filter_of_net_str(sK7,sK8)
| empty_carrier(sK8) ),
inference(subsumption_resolution,[],[f642,f413]) ).
fof(f413,plain,
~ empty_carrier(sK7),
inference(cnf_transformation,[],[f287]) ).
fof(f642,plain,
( empty_carrier(sK7)
| a_2_1_yellow19(sK7,sK8) = filter_of_net_str(sK7,sK8)
| empty_carrier(sK8)
| ~ one_sorted_str(sK7) ),
inference(resolution,[],[f408,f504]) ).
fof(f504,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| filter_of_net_str(X0,X1) = a_2_1_yellow19(X0,X1)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0] :
( ! [X1] :
( filter_of_net_str(X0,X1) = a_2_1_yellow19(X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f226]) ).
fof(f226,plain,
! [X0] :
( ! [X1] :
( filter_of_net_str(X0,X1) = a_2_1_yellow19(X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> filter_of_net_str(X0,X1) = a_2_1_yellow19(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_yellow19) ).
fof(f408,plain,
net_str(sK8,sK7),
inference(cnf_transformation,[],[f287]) ).
fof(f1066,plain,
( in(sK9,a_2_1_yellow19(sK7,sK8))
| in(sK9,filter_of_net_str(sK7,sK8)) ),
inference(subsumption_resolution,[],[f1065,f408]) ).
fof(f1065,plain,
( ~ net_str(sK8,sK7)
| in(sK9,a_2_1_yellow19(sK7,sK8))
| in(sK9,filter_of_net_str(sK7,sK8)) ),
inference(subsumption_resolution,[],[f1064,f407]) ).
fof(f1064,plain,
( empty_carrier(sK8)
| in(sK9,filter_of_net_str(sK7,sK8))
| in(sK9,a_2_1_yellow19(sK7,sK8))
| ~ net_str(sK8,sK7) ),
inference(resolution,[],[f1063,f671]) ).
fof(f671,plain,
! [X0] :
( ~ is_eventually_in(sK7,X0,sK9)
| in(sK9,a_2_1_yellow19(sK7,X0))
| empty_carrier(X0)
| ~ net_str(X0,sK7)
| in(sK9,filter_of_net_str(sK7,sK8)) ),
inference(subsumption_resolution,[],[f670,f412]) ).
fof(f670,plain,
! [X0] :
( in(sK9,a_2_1_yellow19(sK7,X0))
| ~ is_eventually_in(sK7,X0,sK9)
| ~ one_sorted_str(sK7)
| ~ net_str(X0,sK7)
| empty_carrier(X0)
| in(sK9,filter_of_net_str(sK7,sK8)) ),
inference(subsumption_resolution,[],[f665,f413]) ).
fof(f665,plain,
! [X0] :
( in(sK9,filter_of_net_str(sK7,sK8))
| ~ net_str(X0,sK7)
| in(sK9,a_2_1_yellow19(sK7,X0))
| empty_carrier(X0)
| empty_carrier(sK7)
| ~ one_sorted_str(sK7)
| ~ is_eventually_in(sK7,X0,sK9) ),
inference(resolution,[],[f410,f634]) ).
fof(f634,plain,
! [X0,X1,X4] :
( ~ element(X4,powerset(the_carrier(X1)))
| in(X4,a_2_1_yellow19(X1,X0))
| empty_carrier(X1)
| empty_carrier(X0)
| ~ net_str(X0,X1)
| ~ is_eventually_in(X1,X0,X4)
| ~ one_sorted_str(X1) ),
inference(equality_resolution,[],[f571]) ).
fof(f571,plain,
! [X2,X0,X1,X4] :
( empty_carrier(X0)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| in(X2,a_2_1_yellow19(X1,X0))
| ~ is_eventually_in(X1,X0,X4)
| ~ element(X4,powerset(the_carrier(X1)))
| X2 != X4 ),
inference(cnf_transformation,[],[f341]) ).
fof(f341,plain,
! [X0,X1,X2] :
( empty_carrier(X0)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ( ( ( is_eventually_in(X1,X0,sK30(X0,X1,X2))
& element(sK30(X0,X1,X2),powerset(the_carrier(X1)))
& sK30(X0,X1,X2) = X2 )
| ~ in(X2,a_2_1_yellow19(X1,X0)) )
& ( in(X2,a_2_1_yellow19(X1,X0))
| ! [X4] :
( ~ is_eventually_in(X1,X0,X4)
| ~ element(X4,powerset(the_carrier(X1)))
| X2 != X4 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f339,f340]) ).
fof(f340,plain,
! [X0,X1,X2] :
( ? [X3] :
( is_eventually_in(X1,X0,X3)
& element(X3,powerset(the_carrier(X1)))
& X2 = X3 )
=> ( is_eventually_in(X1,X0,sK30(X0,X1,X2))
& element(sK30(X0,X1,X2),powerset(the_carrier(X1)))
& sK30(X0,X1,X2) = X2 ) ),
introduced(choice_axiom,[]) ).
fof(f339,plain,
! [X0,X1,X2] :
( empty_carrier(X0)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ( ( ? [X3] :
( is_eventually_in(X1,X0,X3)
& element(X3,powerset(the_carrier(X1)))
& X2 = X3 )
| ~ in(X2,a_2_1_yellow19(X1,X0)) )
& ( in(X2,a_2_1_yellow19(X1,X0))
| ! [X4] :
( ~ is_eventually_in(X1,X0,X4)
| ~ element(X4,powerset(the_carrier(X1)))
| X2 != X4 ) ) ) ),
inference(rectify,[],[f338]) ).
fof(f338,plain,
! [X2,X1,X0] :
( empty_carrier(X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ( ( ? [X3] :
( is_eventually_in(X1,X2,X3)
& element(X3,powerset(the_carrier(X1)))
& X0 = X3 )
| ~ in(X0,a_2_1_yellow19(X1,X2)) )
& ( in(X0,a_2_1_yellow19(X1,X2))
| ! [X3] :
( ~ is_eventually_in(X1,X2,X3)
| ~ element(X3,powerset(the_carrier(X1)))
| X0 != X3 ) ) ) ),
inference(nnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X2,X1,X0] :
( empty_carrier(X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ( ? [X3] :
( is_eventually_in(X1,X2,X3)
& element(X3,powerset(the_carrier(X1)))
& X0 = X3 )
<=> in(X0,a_2_1_yellow19(X1,X2)) ) ),
inference(flattening,[],[f203]) ).
fof(f203,plain,
! [X2,X1,X0] :
( ( ? [X3] :
( is_eventually_in(X1,X2,X3)
& element(X3,powerset(the_carrier(X1)))
& X0 = X3 )
<=> in(X0,a_2_1_yellow19(X1,X2)) )
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| empty_carrier(X2) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X2,X1,X0] :
( ( one_sorted_str(X1)
& ~ empty_carrier(X1)
& net_str(X2,X1)
& ~ empty_carrier(X2) )
=> ( ? [X3] :
( is_eventually_in(X1,X2,X3)
& element(X3,powerset(the_carrier(X1)))
& X0 = X3 )
<=> in(X0,a_2_1_yellow19(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_1_yellow19) ).
fof(f410,plain,
( element(sK9,powerset(the_carrier(sK7)))
| in(sK9,filter_of_net_str(sK7,sK8)) ),
inference(cnf_transformation,[],[f287]) ).
fof(f1046,plain,
element(sK9,powerset(the_carrier(sK7))),
inference(subsumption_resolution,[],[f1045,f410]) ).
fof(f1045,plain,
( ~ in(sK9,filter_of_net_str(sK7,sK8))
| element(sK9,powerset(the_carrier(sK7))) ),
inference(superposition,[],[f719,f1044]) ).
fof(f1044,plain,
sK30(sK8,sK7,sK9) = sK9,
inference(subsumption_resolution,[],[f1043,f723]) ).
fof(f723,plain,
! [X1] :
( ~ in(X1,filter_of_net_str(sK7,sK8))
| sK30(sK8,sK7,X1) = X1 ),
inference(subsumption_resolution,[],[f722,f408]) ).
fof(f722,plain,
! [X1] :
( ~ net_str(sK8,sK7)
| sK30(sK8,sK7,X1) = X1
| ~ in(X1,filter_of_net_str(sK7,sK8)) ),
inference(subsumption_resolution,[],[f721,f413]) ).
fof(f721,plain,
! [X1] :
( ~ in(X1,filter_of_net_str(sK7,sK8))
| empty_carrier(sK7)
| ~ net_str(sK8,sK7)
| sK30(sK8,sK7,X1) = X1 ),
inference(subsumption_resolution,[],[f720,f407]) ).
fof(f720,plain,
! [X1] :
( empty_carrier(sK8)
| ~ in(X1,filter_of_net_str(sK7,sK8))
| empty_carrier(sK7)
| ~ net_str(sK8,sK7)
| sK30(sK8,sK7,X1) = X1 ),
inference(subsumption_resolution,[],[f714,f412]) ).
fof(f714,plain,
! [X1] :
( ~ one_sorted_str(sK7)
| ~ net_str(sK8,sK7)
| empty_carrier(sK8)
| ~ in(X1,filter_of_net_str(sK7,sK8))
| empty_carrier(sK7)
| sK30(sK8,sK7,X1) = X1 ),
inference(superposition,[],[f572,f649]) ).
fof(f572,plain,
! [X2,X0,X1] :
( ~ in(X2,a_2_1_yellow19(X1,X0))
| sK30(X0,X1,X2) = X2
| empty_carrier(X1)
| empty_carrier(X0)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X1) ),
inference(cnf_transformation,[],[f341]) ).
fof(f1043,plain,
( sK30(sK8,sK7,sK9) = sK9
| in(sK9,filter_of_net_str(sK7,sK8)) ),
inference(forward_demodulation,[],[f1042,f649]) ).
fof(f1042,plain,
( sK30(sK8,sK7,sK9) = sK9
| in(sK9,a_2_1_yellow19(sK7,sK8)) ),
inference(subsumption_resolution,[],[f1041,f723]) ).
fof(f1041,plain,
( in(sK9,filter_of_net_str(sK7,sK8))
| in(sK9,a_2_1_yellow19(sK7,sK8))
| sK30(sK8,sK7,sK9) = sK9 ),
inference(subsumption_resolution,[],[f1040,f408]) ).
fof(f1040,plain,
( ~ net_str(sK8,sK7)
| in(sK9,filter_of_net_str(sK7,sK8))
| sK30(sK8,sK7,sK9) = sK9
| in(sK9,a_2_1_yellow19(sK7,sK8)) ),
inference(subsumption_resolution,[],[f1039,f407]) ).
fof(f1039,plain,
( empty_carrier(sK8)
| ~ net_str(sK8,sK7)
| in(sK9,a_2_1_yellow19(sK7,sK8))
| sK30(sK8,sK7,sK9) = sK9
| in(sK9,filter_of_net_str(sK7,sK8)) ),
inference(resolution,[],[f869,f671]) ).
fof(f869,plain,
( is_eventually_in(sK7,sK8,sK9)
| sK30(sK8,sK7,sK9) = sK9 ),
inference(resolution,[],[f723,f409]) ).
fof(f409,plain,
( in(sK9,filter_of_net_str(sK7,sK8))
| is_eventually_in(sK7,sK8,sK9) ),
inference(cnf_transformation,[],[f287]) ).
fof(f719,plain,
! [X2] :
( element(sK30(sK8,sK7,X2),powerset(the_carrier(sK7)))
| ~ in(X2,filter_of_net_str(sK7,sK8)) ),
inference(subsumption_resolution,[],[f718,f413]) ).
fof(f718,plain,
! [X2] :
( element(sK30(sK8,sK7,X2),powerset(the_carrier(sK7)))
| empty_carrier(sK7)
| ~ in(X2,filter_of_net_str(sK7,sK8)) ),
inference(subsumption_resolution,[],[f717,f407]) ).
fof(f717,plain,
! [X2] :
( empty_carrier(sK8)
| empty_carrier(sK7)
| ~ in(X2,filter_of_net_str(sK7,sK8))
| element(sK30(sK8,sK7,X2),powerset(the_carrier(sK7))) ),
inference(subsumption_resolution,[],[f716,f412]) ).
fof(f716,plain,
! [X2] :
( ~ one_sorted_str(sK7)
| ~ in(X2,filter_of_net_str(sK7,sK8))
| empty_carrier(sK8)
| element(sK30(sK8,sK7,X2),powerset(the_carrier(sK7)))
| empty_carrier(sK7) ),
inference(subsumption_resolution,[],[f715,f408]) ).
fof(f715,plain,
! [X2] :
( ~ in(X2,filter_of_net_str(sK7,sK8))
| ~ net_str(sK8,sK7)
| ~ one_sorted_str(sK7)
| empty_carrier(sK7)
| empty_carrier(sK8)
| element(sK30(sK8,sK7,X2),powerset(the_carrier(sK7))) ),
inference(superposition,[],[f573,f649]) ).
fof(f573,plain,
! [X2,X0,X1] :
( ~ in(X2,a_2_1_yellow19(X1,X0))
| empty_carrier(X0)
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| element(sK30(X0,X1,X2),powerset(the_carrier(X1)))
| ~ net_str(X0,X1) ),
inference(cnf_transformation,[],[f341]) ).
fof(f1063,plain,
is_eventually_in(sK7,sK8,sK9),
inference(duplicate_literal_removal,[],[f1062]) ).
fof(f1062,plain,
( is_eventually_in(sK7,sK8,sK9)
| is_eventually_in(sK7,sK8,sK9) ),
inference(forward_demodulation,[],[f892,f1044]) ).
fof(f892,plain,
( is_eventually_in(sK7,sK8,sK30(sK8,sK7,sK9))
| is_eventually_in(sK7,sK8,sK9) ),
inference(resolution,[],[f727,f409]) ).
fof(f727,plain,
! [X0] :
( ~ in(X0,filter_of_net_str(sK7,sK8))
| is_eventually_in(sK7,sK8,sK30(sK8,sK7,X0)) ),
inference(subsumption_resolution,[],[f726,f412]) ).
fof(f726,plain,
! [X0] :
( ~ one_sorted_str(sK7)
| ~ in(X0,filter_of_net_str(sK7,sK8))
| is_eventually_in(sK7,sK8,sK30(sK8,sK7,X0)) ),
inference(subsumption_resolution,[],[f725,f407]) ).
fof(f725,plain,
! [X0] :
( is_eventually_in(sK7,sK8,sK30(sK8,sK7,X0))
| empty_carrier(sK8)
| ~ in(X0,filter_of_net_str(sK7,sK8))
| ~ one_sorted_str(sK7) ),
inference(subsumption_resolution,[],[f724,f408]) ).
fof(f724,plain,
! [X0] :
( ~ net_str(sK8,sK7)
| ~ in(X0,filter_of_net_str(sK7,sK8))
| empty_carrier(sK8)
| ~ one_sorted_str(sK7)
| is_eventually_in(sK7,sK8,sK30(sK8,sK7,X0)) ),
inference(subsumption_resolution,[],[f713,f413]) ).
fof(f713,plain,
! [X0] :
( empty_carrier(sK7)
| ~ net_str(sK8,sK7)
| is_eventually_in(sK7,sK8,sK30(sK8,sK7,X0))
| empty_carrier(sK8)
| ~ one_sorted_str(sK7)
| ~ in(X0,filter_of_net_str(sK7,sK8)) ),
inference(superposition,[],[f574,f649]) ).
fof(f574,plain,
! [X2,X0,X1] :
( ~ in(X2,a_2_1_yellow19(X1,X0))
| ~ net_str(X0,X1)
| is_eventually_in(X1,X0,sK30(X0,X1,X2))
| empty_carrier(X0)
| empty_carrier(X1)
| ~ one_sorted_str(X1) ),
inference(cnf_transformation,[],[f341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU391+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 15:37:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (8739)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.51 % (8719)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52 % (8721)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52 % (8743)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52 % (8720)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53 % (8718)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (8731)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (8745)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.53 % (8729)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (8744)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53 % (8722)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (8716)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (8738)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.53 % (8729)Instruction limit reached!
% 0.20/0.53 % (8729)------------------------------
% 0.20/0.53 % (8729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (8735)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.53 % (8724)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.53 % (8719)Instruction limit reached!
% 0.20/0.53 % (8719)------------------------------
% 0.20/0.53 % (8719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (8731)Instruction limit reached!
% 0.20/0.53 % (8731)------------------------------
% 0.20/0.53 % (8731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (8731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (8731)Termination reason: Unknown
% 0.20/0.53 % (8731)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (8731)Memory used [KB]: 6268
% 0.20/0.53 % (8731)Time elapsed: 0.009 s
% 0.20/0.53 % (8731)Instructions burned: 7 (million)
% 0.20/0.53 % (8731)------------------------------
% 0.20/0.53 % (8731)------------------------------
% 0.20/0.54 % (8719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (8719)Termination reason: Unknown
% 0.20/0.54 % (8719)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (8719)Memory used [KB]: 6268
% 0.20/0.54 % (8719)Time elapsed: 0.091 s
% 0.20/0.54 % (8719)Instructions burned: 13 (million)
% 0.20/0.54 % (8719)------------------------------
% 0.20/0.54 % (8719)------------------------------
% 0.20/0.54 % (8723)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.54 % (8737)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (8726)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (8736)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.54 % (8726)Instruction limit reached!
% 0.20/0.54 % (8726)------------------------------
% 0.20/0.54 % (8726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (8726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (8726)Termination reason: Unknown
% 0.20/0.54 % (8726)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (8726)Memory used [KB]: 1663
% 0.20/0.54 % (8726)Time elapsed: 0.004 s
% 0.20/0.54 % (8726)Instructions burned: 7 (million)
% 0.20/0.54 % (8726)------------------------------
% 0.20/0.54 % (8726)------------------------------
% 0.20/0.54 % (8739)First to succeed.
% 0.20/0.54 % (8728)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (8740)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (8741)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.55 % (8727)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.55 % (8725)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.55 % (8718)Also succeeded, but the first one will report.
% 0.20/0.55 % (8739)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (8739)------------------------------
% 0.20/0.55 % (8739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (8739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (8739)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (8739)Memory used [KB]: 2302
% 0.20/0.55 % (8739)Time elapsed: 0.076 s
% 0.20/0.55 % (8739)Instructions burned: 33 (million)
% 0.20/0.55 % (8739)------------------------------
% 0.20/0.55 % (8739)------------------------------
% 0.20/0.55 % (8711)Success in time 0.203 s
%------------------------------------------------------------------------------