TSTP Solution File: SEU375+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU375+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 : 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 Aug 31 18:29:28 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 19
% Syntax : Number of formulae : 105 ( 24 unt; 0 def)
% Number of atoms : 521 ( 49 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 647 ( 231 ~; 191 |; 177 &)
% ( 5 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 4 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 182 ( 119 !; 63 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f241,plain,
$false,
inference(avatar_sat_refutation,[],[f167,f172,f202,f240]) ).
fof(f240,plain,
( ~ spl14_3
| ~ spl14_5 ),
inference(avatar_contradiction_clause,[],[f239]) ).
fof(f239,plain,
( $false
| ~ spl14_3
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f238,f220]) ).
fof(f220,plain,
full_subrelstr(sK3,sK2),
inference(subsumption_resolution,[],[f219,f98]) ).
fof(f98,plain,
subnetstr(sK3,sK1,sK2),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( one_sorted_str(sK1)
& full_subnetstr(sK3,sK1,sK2)
& ~ empty_carrier(sK3)
& element(sK4,the_carrier(sK2))
& element(sK5,the_carrier(sK2))
& related(sK2,sK4,sK5)
& element(sK7,the_carrier(sK3))
& ~ related(sK3,sK6,sK7)
& sK4 = sK6
& sK5 = sK7
& element(sK6,the_carrier(sK3))
& subnetstr(sK3,sK1,sK2)
& net_str(sK2,sK1)
& ~ empty_carrier(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f66,f77,f76,f75,f74,f73,f72,f71]) ).
fof(f71,plain,
( ? [X0] :
( one_sorted_str(X0)
& ? [X1] :
( ? [X2] :
( full_subnetstr(X2,X0,X1)
& ~ empty_carrier(X2)
& ? [X3] :
( element(X3,the_carrier(X1))
& ? [X4] :
( element(X4,the_carrier(X1))
& ? [X5] :
( ? [X6] :
( related(X1,X3,X4)
& element(X6,the_carrier(X2))
& ~ related(X2,X5,X6)
& X3 = X5
& X4 = X6 )
& element(X5,the_carrier(X2)) ) ) )
& subnetstr(X2,X0,X1) )
& net_str(X1,X0)
& ~ empty_carrier(X1) ) )
=> ( one_sorted_str(sK1)
& ? [X1] :
( ? [X2] :
( full_subnetstr(X2,sK1,X1)
& ~ empty_carrier(X2)
& ? [X3] :
( element(X3,the_carrier(X1))
& ? [X4] :
( element(X4,the_carrier(X1))
& ? [X5] :
( ? [X6] :
( related(X1,X3,X4)
& element(X6,the_carrier(X2))
& ~ related(X2,X5,X6)
& X3 = X5
& X4 = X6 )
& element(X5,the_carrier(X2)) ) ) )
& subnetstr(X2,sK1,X1) )
& net_str(X1,sK1)
& ~ empty_carrier(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ? [X1] :
( ? [X2] :
( full_subnetstr(X2,sK1,X1)
& ~ empty_carrier(X2)
& ? [X3] :
( element(X3,the_carrier(X1))
& ? [X4] :
( element(X4,the_carrier(X1))
& ? [X5] :
( ? [X6] :
( related(X1,X3,X4)
& element(X6,the_carrier(X2))
& ~ related(X2,X5,X6)
& X3 = X5
& X4 = X6 )
& element(X5,the_carrier(X2)) ) ) )
& subnetstr(X2,sK1,X1) )
& net_str(X1,sK1)
& ~ empty_carrier(X1) )
=> ( ? [X2] :
( full_subnetstr(X2,sK1,sK2)
& ~ empty_carrier(X2)
& ? [X3] :
( element(X3,the_carrier(sK2))
& ? [X4] :
( element(X4,the_carrier(sK2))
& ? [X5] :
( ? [X6] :
( related(sK2,X3,X4)
& element(X6,the_carrier(X2))
& ~ related(X2,X5,X6)
& X3 = X5
& X4 = X6 )
& element(X5,the_carrier(X2)) ) ) )
& subnetstr(X2,sK1,sK2) )
& net_str(sK2,sK1)
& ~ empty_carrier(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( ? [X2] :
( full_subnetstr(X2,sK1,sK2)
& ~ empty_carrier(X2)
& ? [X3] :
( element(X3,the_carrier(sK2))
& ? [X4] :
( element(X4,the_carrier(sK2))
& ? [X5] :
( ? [X6] :
( related(sK2,X3,X4)
& element(X6,the_carrier(X2))
& ~ related(X2,X5,X6)
& X3 = X5
& X4 = X6 )
& element(X5,the_carrier(X2)) ) ) )
& subnetstr(X2,sK1,sK2) )
=> ( full_subnetstr(sK3,sK1,sK2)
& ~ empty_carrier(sK3)
& ? [X3] :
( element(X3,the_carrier(sK2))
& ? [X4] :
( element(X4,the_carrier(sK2))
& ? [X5] :
( ? [X6] :
( related(sK2,X3,X4)
& element(X6,the_carrier(sK3))
& ~ related(sK3,X5,X6)
& X3 = X5
& X4 = X6 )
& element(X5,the_carrier(sK3)) ) ) )
& subnetstr(sK3,sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
( ? [X3] :
( element(X3,the_carrier(sK2))
& ? [X4] :
( element(X4,the_carrier(sK2))
& ? [X5] :
( ? [X6] :
( related(sK2,X3,X4)
& element(X6,the_carrier(sK3))
& ~ related(sK3,X5,X6)
& X3 = X5
& X4 = X6 )
& element(X5,the_carrier(sK3)) ) ) )
=> ( element(sK4,the_carrier(sK2))
& ? [X4] :
( element(X4,the_carrier(sK2))
& ? [X5] :
( ? [X6] :
( related(sK2,sK4,X4)
& element(X6,the_carrier(sK3))
& ~ related(sK3,X5,X6)
& sK4 = X5
& X4 = X6 )
& element(X5,the_carrier(sK3)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
( ? [X4] :
( element(X4,the_carrier(sK2))
& ? [X5] :
( ? [X6] :
( related(sK2,sK4,X4)
& element(X6,the_carrier(sK3))
& ~ related(sK3,X5,X6)
& sK4 = X5
& X4 = X6 )
& element(X5,the_carrier(sK3)) ) )
=> ( element(sK5,the_carrier(sK2))
& ? [X5] :
( ? [X6] :
( related(sK2,sK4,sK5)
& element(X6,the_carrier(sK3))
& ~ related(sK3,X5,X6)
& sK4 = X5
& sK5 = X6 )
& element(X5,the_carrier(sK3)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
( ? [X5] :
( ? [X6] :
( related(sK2,sK4,sK5)
& element(X6,the_carrier(sK3))
& ~ related(sK3,X5,X6)
& sK4 = X5
& sK5 = X6 )
& element(X5,the_carrier(sK3)) )
=> ( ? [X6] :
( related(sK2,sK4,sK5)
& element(X6,the_carrier(sK3))
& ~ related(sK3,sK6,X6)
& sK4 = sK6
& sK5 = X6 )
& element(sK6,the_carrier(sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
( ? [X6] :
( related(sK2,sK4,sK5)
& element(X6,the_carrier(sK3))
& ~ related(sK3,sK6,X6)
& sK4 = sK6
& sK5 = X6 )
=> ( related(sK2,sK4,sK5)
& element(sK7,the_carrier(sK3))
& ~ related(sK3,sK6,sK7)
& sK4 = sK6
& sK5 = sK7 ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
? [X0] :
( one_sorted_str(X0)
& ? [X1] :
( ? [X2] :
( full_subnetstr(X2,X0,X1)
& ~ empty_carrier(X2)
& ? [X3] :
( element(X3,the_carrier(X1))
& ? [X4] :
( element(X4,the_carrier(X1))
& ? [X5] :
( ? [X6] :
( related(X1,X3,X4)
& element(X6,the_carrier(X2))
& ~ related(X2,X5,X6)
& X3 = X5
& X4 = X6 )
& element(X5,the_carrier(X2)) ) ) )
& subnetstr(X2,X0,X1) )
& net_str(X1,X0)
& ~ empty_carrier(X1) ) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& X4 = X6
& X3 = X5
& related(X1,X3,X4)
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
& ~ empty_carrier(X2)
& subnetstr(X2,X0,X1)
& full_subnetstr(X2,X0,X1) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& subnetstr(X2,X0,X1)
& full_subnetstr(X2,X0,X1) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( X4 = X6
& X3 = X5
& related(X1,X3,X4) )
=> related(X2,X5,X6) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& subnetstr(X2,X0,X1)
& full_subnetstr(X2,X0,X1) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( X4 = X6
& X3 = X5
& related(X1,X3,X4) )
=> related(X2,X5,X6) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_yellow_6) ).
fof(f219,plain,
( ~ subnetstr(sK3,sK1,sK2)
| full_subrelstr(sK3,sK2) ),
inference(subsumption_resolution,[],[f218,f97]) ).
fof(f97,plain,
net_str(sK2,sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f218,plain,
( full_subrelstr(sK3,sK2)
| ~ net_str(sK2,sK1)
| ~ subnetstr(sK3,sK1,sK2) ),
inference(subsumption_resolution,[],[f217,f109]) ).
fof(f109,plain,
one_sorted_str(sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f217,plain,
( ~ one_sorted_str(sK1)
| ~ subnetstr(sK3,sK1,sK2)
| ~ net_str(sK2,sK1)
| full_subrelstr(sK3,sK2) ),
inference(resolution,[],[f112,f108]) ).
fof(f108,plain,
full_subnetstr(sK3,sK1,sK2),
inference(cnf_transformation,[],[f78]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ full_subnetstr(X2,X0,X1)
| full_subrelstr(X2,X1)
| ~ subnetstr(X2,X0,X1)
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ~ net_str(X1,X0)
| ! [X2] :
( ~ subnetstr(X2,X0,X1)
| ( ( full_subnetstr(X2,X0,X1)
| ~ full_subrelstr(X2,X1)
| ~ subrelstr(X2,X1) )
& ( ( full_subrelstr(X2,X1)
& subrelstr(X2,X1) )
| ~ full_subnetstr(X2,X0,X1) ) ) ) )
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ~ net_str(X1,X0)
| ! [X2] :
( ~ subnetstr(X2,X0,X1)
| ( ( full_subnetstr(X2,X0,X1)
| ~ full_subrelstr(X2,X1)
| ~ subrelstr(X2,X1) )
& ( ( full_subrelstr(X2,X1)
& subrelstr(X2,X1) )
| ~ full_subnetstr(X2,X0,X1) ) ) ) )
| ~ one_sorted_str(X0) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ~ net_str(X1,X0)
| ! [X2] :
( ~ subnetstr(X2,X0,X1)
| ( full_subnetstr(X2,X0,X1)
<=> ( full_subrelstr(X2,X1)
& subrelstr(X2,X1) ) ) ) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> ( full_subnetstr(X2,X0,X1)
<=> ( full_subrelstr(X2,X1)
& subrelstr(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_yellow_6) ).
fof(f238,plain,
( ~ full_subrelstr(sK3,sK2)
| ~ spl14_3
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f237,f171]) ).
fof(f171,plain,
( in(sK6,the_carrier(sK3))
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl14_5
<=> in(sK6,the_carrier(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f237,plain,
( ~ in(sK6,the_carrier(sK3))
| ~ full_subrelstr(sK3,sK2)
| ~ spl14_3 ),
inference(subsumption_resolution,[],[f236,f215]) ).
fof(f215,plain,
subrelstr(sK3,sK2),
inference(subsumption_resolution,[],[f214,f97]) ).
fof(f214,plain,
( subrelstr(sK3,sK2)
| ~ net_str(sK2,sK1) ),
inference(subsumption_resolution,[],[f213,f98]) ).
fof(f213,plain,
( subrelstr(sK3,sK2)
| ~ subnetstr(sK3,sK1,sK2)
| ~ net_str(sK2,sK1) ),
inference(subsumption_resolution,[],[f212,f109]) ).
fof(f212,plain,
( ~ one_sorted_str(sK1)
| ~ subnetstr(sK3,sK1,sK2)
| ~ net_str(sK2,sK1)
| subrelstr(sK3,sK2) ),
inference(resolution,[],[f111,f108]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ full_subnetstr(X2,X0,X1)
| ~ subnetstr(X2,X0,X1)
| subrelstr(X2,X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f236,plain,
( ~ subrelstr(sK3,sK2)
| ~ full_subrelstr(sK3,sK2)
| ~ in(sK6,the_carrier(sK3))
| ~ spl14_3 ),
inference(subsumption_resolution,[],[f235,f102]) ).
fof(f102,plain,
~ related(sK3,sK6,sK7),
inference(cnf_transformation,[],[f78]) ).
fof(f235,plain,
( related(sK3,sK6,sK7)
| ~ subrelstr(sK3,sK2)
| ~ full_subrelstr(sK3,sK2)
| ~ in(sK6,the_carrier(sK3))
| ~ spl14_3 ),
inference(resolution,[],[f233,f162]) ).
fof(f162,plain,
( in(sK7,the_carrier(sK3))
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl14_3
<=> in(sK7,the_carrier(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f233,plain,
! [X0] :
( ~ in(sK7,the_carrier(X0))
| related(X0,sK6,sK7)
| ~ full_subrelstr(X0,sK2)
| ~ in(sK6,the_carrier(X0))
| ~ subrelstr(X0,sK2) ),
inference(subsumption_resolution,[],[f232,f130]) ).
fof(f130,plain,
element(sK6,the_carrier(sK2)),
inference(definition_unfolding,[],[f106,f101]) ).
fof(f101,plain,
sK4 = sK6,
inference(cnf_transformation,[],[f78]) ).
fof(f106,plain,
element(sK4,the_carrier(sK2)),
inference(cnf_transformation,[],[f78]) ).
fof(f232,plain,
! [X0] :
( ~ full_subrelstr(X0,sK2)
| ~ subrelstr(X0,sK2)
| ~ in(sK6,the_carrier(X0))
| related(X0,sK6,sK7)
| ~ element(sK6,the_carrier(sK2))
| ~ in(sK7,the_carrier(X0)) ),
inference(subsumption_resolution,[],[f231,f139]) ).
fof(f139,plain,
rel_str(sK2),
inference(subsumption_resolution,[],[f136,f109]) ).
fof(f136,plain,
( ~ one_sorted_str(sK1)
| rel_str(sK2) ),
inference(resolution,[],[f122,f97]) ).
fof(f122,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| rel_str(X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ~ net_str(X1,X0)
| rel_str(X1) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
fof(f231,plain,
! [X0] :
( related(X0,sK6,sK7)
| ~ in(sK6,the_carrier(X0))
| ~ in(sK7,the_carrier(X0))
| ~ rel_str(sK2)
| ~ subrelstr(X0,sK2)
| ~ full_subrelstr(X0,sK2)
| ~ element(sK6,the_carrier(sK2)) ),
inference(subsumption_resolution,[],[f230,f131]) ).
fof(f131,plain,
element(sK7,the_carrier(sK2)),
inference(definition_unfolding,[],[f105,f100]) ).
fof(f100,plain,
sK5 = sK7,
inference(cnf_transformation,[],[f78]) ).
fof(f105,plain,
element(sK5,the_carrier(sK2)),
inference(cnf_transformation,[],[f78]) ).
fof(f230,plain,
! [X0] :
( ~ element(sK7,the_carrier(sK2))
| ~ subrelstr(X0,sK2)
| ~ full_subrelstr(X0,sK2)
| ~ rel_str(sK2)
| ~ in(sK7,the_carrier(X0))
| ~ element(sK6,the_carrier(sK2))
| related(X0,sK6,sK7)
| ~ in(sK6,the_carrier(X0)) ),
inference(resolution,[],[f229,f132]) ).
fof(f132,plain,
related(sK2,sK6,sK7),
inference(definition_unfolding,[],[f104,f101,f100]) ).
fof(f104,plain,
related(sK2,sK4,sK5),
inference(cnf_transformation,[],[f78]) ).
fof(f229,plain,
! [X0,X1,X4,X5] :
( ~ related(X0,X4,X5)
| related(X1,X4,X5)
| ~ subrelstr(X1,X0)
| ~ in(X5,the_carrier(X1))
| ~ element(X4,the_carrier(X0))
| ~ rel_str(X0)
| ~ full_subrelstr(X1,X0)
| ~ element(X5,the_carrier(X0))
| ~ in(X4,the_carrier(X1)) ),
inference(subsumption_resolution,[],[f228,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X1,X0] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f228,plain,
! [X0,X1,X4,X5] :
( ~ element(X5,the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0)
| ~ in(X5,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ rel_str(X0)
| related(X1,X4,X5)
| ~ related(X0,X4,X5)
| ~ in(X4,the_carrier(X1))
| ~ element(X4,the_carrier(X0)) ),
inference(subsumption_resolution,[],[f134,f95]) ).
fof(f134,plain,
! [X0,X1,X4,X5] :
( ~ full_subrelstr(X1,X0)
| ~ element(X5,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ related(X0,X4,X5)
| ~ rel_str(X0)
| ~ in(X4,the_carrier(X1))
| related(X1,X4,X5)
| ~ element(X4,the_carrier(X0))
| ~ in(X5,the_carrier(X1))
| ~ subrelstr(X1,X0)
| ~ element(X5,the_carrier(X0)) ),
inference(equality_resolution,[],[f133]) ).
fof(f133,plain,
! [X2,X0,X1,X4,X5] :
( ~ rel_str(X0)
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X1))
| ~ in(X5,the_carrier(X1))
| ~ element(X5,the_carrier(X1))
| related(X1,X4,X5)
| ~ related(X0,X2,X5)
| ~ in(X4,the_carrier(X1))
| X2 != X4
| ~ element(X2,the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0) ),
inference(equality_resolution,[],[f125]) ).
fof(f125,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rel_str(X0)
| ~ element(X3,the_carrier(X0))
| ~ element(X4,the_carrier(X1))
| ~ in(X5,the_carrier(X1))
| ~ element(X5,the_carrier(X1))
| X3 != X5
| related(X1,X4,X5)
| ~ related(X0,X2,X3)
| ~ in(X4,the_carrier(X1))
| X2 != X4
| ~ element(X2,the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ element(X3,the_carrier(X0))
| ! [X4] :
( ~ element(X4,the_carrier(X1))
| ! [X5] :
( ~ in(X5,the_carrier(X1))
| ~ element(X5,the_carrier(X1))
| X3 != X5
| related(X1,X4,X5)
| ~ related(X0,X2,X3)
| ~ in(X4,the_carrier(X1))
| X2 != X4 ) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0) ) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( related(X1,X4,X5)
| X2 != X4
| X3 != X5
| ~ related(X0,X2,X3)
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ 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]) ).
fof(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))
=> ( ( X2 = X4
& X3 = X5
& related(X0,X2,X3)
& in(X5,the_carrier(X1))
& in(X4,the_carrier(X1)) )
=> related(X1,X4,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t61_yellow_0) ).
fof(f202,plain,
~ spl14_4,
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f201,plain,
( $false
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f200,f183]) ).
fof(f183,plain,
( ~ one_sorted_str(sK3)
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f182,f107]) ).
fof(f107,plain,
~ empty_carrier(sK3),
inference(cnf_transformation,[],[f78]) ).
fof(f182,plain,
( empty_carrier(sK3)
| ~ one_sorted_str(sK3)
| ~ spl14_4 ),
inference(resolution,[],[f166,f120]) ).
fof(f120,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f166,plain,
( empty(the_carrier(sK3))
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f164,plain,
( spl14_4
<=> empty(the_carrier(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f200,plain,
one_sorted_str(sK3),
inference(resolution,[],[f199,f124]) ).
fof(f124,plain,
! [X0] :
( ~ rel_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ~ rel_str(X0)
| one_sorted_str(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f199,plain,
rel_str(sK3),
inference(subsumption_resolution,[],[f198,f109]) ).
fof(f198,plain,
( rel_str(sK3)
| ~ one_sorted_str(sK1) ),
inference(resolution,[],[f197,f122]) ).
fof(f197,plain,
net_str(sK3,sK1),
inference(subsumption_resolution,[],[f196,f97]) ).
fof(f196,plain,
( ~ net_str(sK2,sK1)
| net_str(sK3,sK1) ),
inference(subsumption_resolution,[],[f193,f109]) ).
fof(f193,plain,
( ~ one_sorted_str(sK1)
| net_str(sK3,sK1)
| ~ net_str(sK2,sK1) ),
inference(resolution,[],[f110,f98]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ subnetstr(X2,X1,X0)
| ~ net_str(X0,X1)
| net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ one_sorted_str(X1)
| ! [X2] :
( ~ subnetstr(X2,X1,X0)
| net_str(X2,X1) )
| ~ net_str(X0,X1) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( ! [X2] :
( ~ subnetstr(X2,X1,X0)
| net_str(X2,X1) )
| ~ one_sorted_str(X1)
| ~ net_str(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( ( one_sorted_str(X1)
& net_str(X0,X1) )
=> ! [X2] :
( subnetstr(X2,X1,X0)
=> net_str(X2,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X0] :
( ( one_sorted_str(X0)
& net_str(X1,X0) )
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> net_str(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_6) ).
fof(f172,plain,
( spl14_5
| spl14_4 ),
inference(avatar_split_clause,[],[f145,f164,f169]) ).
fof(f145,plain,
( empty(the_carrier(sK3))
| in(sK6,the_carrier(sK3)) ),
inference(resolution,[],[f118,f99]) ).
fof(f99,plain,
element(sK6,the_carrier(sK3)),
inference(cnf_transformation,[],[f78]) ).
fof(f118,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X1,X0] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X1,X0] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f167,plain,
( spl14_3
| spl14_4 ),
inference(avatar_split_clause,[],[f146,f164,f160]) ).
fof(f146,plain,
( empty(the_carrier(sK3))
| in(sK7,the_carrier(sK3)) ),
inference(resolution,[],[f118,f103]) ).
fof(f103,plain,
element(sK7,the_carrier(sK3)),
inference(cnf_transformation,[],[f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU375+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 : n006.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 15:20:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.48 % (17507)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)
% 0.21/0.50 % (17499)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)
% 0.21/0.50 % (17496)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)
% 0.21/0.50 % (17507)Instruction limit reached!
% 0.21/0.50 % (17507)------------------------------
% 0.21/0.50 % (17507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (17507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (17507)Termination reason: Unknown
% 0.21/0.50 % (17507)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (17507)Memory used [KB]: 1535
% 0.21/0.50 % (17507)Time elapsed: 0.004 s
% 0.21/0.50 % (17507)Instructions burned: 3 (million)
% 0.21/0.50 % (17507)------------------------------
% 0.21/0.50 % (17507)------------------------------
% 0.21/0.50 % (17515)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)
% 0.21/0.50 % (17499)First to succeed.
% 0.21/0.50 % (17505)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)
% 0.21/0.51 % (17502)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)
% 0.21/0.51 % (17521)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)
% 0.21/0.51 % (17505)Also succeeded, but the first one will report.
% 0.21/0.51 % (17499)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Theorem for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (17499)------------------------------
% 0.21/0.51 % (17499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (17499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (17499)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (17499)Memory used [KB]: 6140
% 0.21/0.51 % (17499)Time elapsed: 0.100 s
% 0.21/0.51 % (17499)Instructions burned: 6 (million)
% 0.21/0.51 % (17499)------------------------------
% 0.21/0.51 % (17499)------------------------------
% 0.21/0.51 % (17489)Success in time 0.158 s
%------------------------------------------------------------------------------