TSTP Solution File: SEU375+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU375+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 15:33:07 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 19
% Syntax : Number of formulae : 112 ( 25 unt; 0 def)
% Number of atoms : 536 ( 49 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 668 ( 244 ~; 202 |; 176 &)
% ( 6 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 5 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 165 ( 102 !; 63 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f283,plain,
$false,
inference(avatar_sat_refutation,[],[f213,f220,f232,f253,f282]) ).
fof(f282,plain,
( ~ spl22_3
| spl22_4 ),
inference(avatar_contradiction_clause,[],[f281]) ).
fof(f281,plain,
( $false
| ~ spl22_3
| spl22_4 ),
inference(subsumption_resolution,[],[f280,f264]) ).
fof(f264,plain,
full_subrelstr(sK2,sK1),
inference(subsumption_resolution,[],[f263,f117]) ).
fof(f117,plain,
one_sorted_str(sK0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,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])],[f51,f83,f82,f81,f80,f79,f78,f77]) ).
fof(f77,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,[]) ).
fof(f78,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,[]) ).
fof(f79,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,[]) ).
fof(f80,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,[]) ).
fof(f81,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,[]) ).
fof(f82,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,[]) ).
fof(f83,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,[]) ).
fof(f51,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,[],[f50]) ).
fof(f50,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]) ).
fof(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]) ).
fof(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/benchmark/theBenchmark.p',t21_yellow_6) ).
fof(f263,plain,
( full_subrelstr(sK2,sK1)
| ~ one_sorted_str(sK0) ),
inference(subsumption_resolution,[],[f262,f119]) ).
fof(f119,plain,
net_str(sK1,sK0),
inference(cnf_transformation,[],[f84]) ).
fof(f262,plain,
( full_subrelstr(sK2,sK1)
| ~ net_str(sK1,sK0)
| ~ one_sorted_str(sK0) ),
inference(subsumption_resolution,[],[f261,f122]) ).
fof(f122,plain,
subnetstr(sK2,sK0,sK1),
inference(cnf_transformation,[],[f84]) ).
fof(f261,plain,
( full_subrelstr(sK2,sK1)
| ~ subnetstr(sK2,sK0,sK1)
| ~ net_str(sK1,sK0)
| ~ one_sorted_str(sK0) ),
inference(resolution,[],[f140,f121]) ).
fof(f121,plain,
full_subnetstr(sK2,sK0,sK1),
inference(cnf_transformation,[],[f84]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ full_subnetstr(X2,X0,X1)
| full_subrelstr(X2,X1)
| ~ subnetstr(X2,X0,X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,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,[],[f87]) ).
fof(f87,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,[],[f58]) ).
fof(f58,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]) ).
fof(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/benchmark/theBenchmark.p',d9_yellow_6) ).
fof(f280,plain,
( ~ full_subrelstr(sK2,sK1)
| ~ spl22_3
| spl22_4 ),
inference(subsumption_resolution,[],[f279,f268]) ).
fof(f268,plain,
subrelstr(sK2,sK1),
inference(subsumption_resolution,[],[f267,f117]) ).
fof(f267,plain,
( subrelstr(sK2,sK1)
| ~ one_sorted_str(sK0) ),
inference(subsumption_resolution,[],[f266,f119]) ).
fof(f266,plain,
( subrelstr(sK2,sK1)
| ~ net_str(sK1,sK0)
| ~ one_sorted_str(sK0) ),
inference(subsumption_resolution,[],[f265,f122]) ).
fof(f265,plain,
( subrelstr(sK2,sK1)
| ~ subnetstr(sK2,sK0,sK1)
| ~ net_str(sK1,sK0)
| ~ one_sorted_str(sK0) ),
inference(resolution,[],[f141,f121]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ full_subnetstr(X2,X0,X1)
| subrelstr(X2,X1)
| ~ subnetstr(X2,X0,X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f279,plain,
( ~ subrelstr(sK2,sK1)
| ~ full_subrelstr(sK2,sK1)
| ~ spl22_3
| spl22_4 ),
inference(subsumption_resolution,[],[f278,f180]) ).
fof(f180,plain,
element(sK3,the_carrier(sK2)),
inference(forward_demodulation,[],[f125,f127]) ).
fof(f127,plain,
sK3 = sK5,
inference(cnf_transformation,[],[f84]) ).
fof(f125,plain,
element(sK5,the_carrier(sK2)),
inference(cnf_transformation,[],[f84]) ).
fof(f278,plain,
( ~ element(sK3,the_carrier(sK2))
| ~ subrelstr(sK2,sK1)
| ~ full_subrelstr(sK2,sK1)
| ~ spl22_3
| spl22_4 ),
inference(subsumption_resolution,[],[f277,f256]) ).
fof(f256,plain,
( in(sK4,the_carrier(sK2))
| spl22_4 ),
inference(subsumption_resolution,[],[f203,f230]) ).
fof(f230,plain,
( ~ empty(the_carrier(sK2))
| spl22_4 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f229,plain,
( spl22_4
<=> empty(the_carrier(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).
fof(f203,plain,
( empty(the_carrier(sK2))
| in(sK4,the_carrier(sK2)) ),
inference(resolution,[],[f153,f181]) ).
fof(f181,plain,
element(sK4,the_carrier(sK2)),
inference(forward_demodulation,[],[f126,f128]) ).
fof(f128,plain,
sK4 = sK6,
inference(cnf_transformation,[],[f84]) ).
fof(f126,plain,
element(sK6,the_carrier(sK2)),
inference(cnf_transformation,[],[f84]) ).
fof(f153,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f277,plain,
( ~ in(sK4,the_carrier(sK2))
| ~ element(sK3,the_carrier(sK2))
| ~ subrelstr(sK2,sK1)
| ~ full_subrelstr(sK2,sK1)
| ~ spl22_3 ),
inference(subsumption_resolution,[],[f276,f183]) ).
fof(f183,plain,
~ related(sK2,sK3,sK4),
inference(forward_demodulation,[],[f182,f127]) ).
fof(f182,plain,
~ related(sK2,sK5,sK4),
inference(forward_demodulation,[],[f130,f128]) ).
fof(f130,plain,
~ related(sK2,sK5,sK6),
inference(cnf_transformation,[],[f84]) ).
fof(f276,plain,
( related(sK2,sK3,sK4)
| ~ in(sK4,the_carrier(sK2))
| ~ element(sK3,the_carrier(sK2))
| ~ subrelstr(sK2,sK1)
| ~ full_subrelstr(sK2,sK1)
| ~ spl22_3 ),
inference(subsumption_resolution,[],[f275,f227]) ).
fof(f227,plain,
( in(sK3,the_carrier(sK2))
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl22_3
<=> in(sK3,the_carrier(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).
fof(f275,plain,
( ~ in(sK3,the_carrier(sK2))
| related(sK2,sK3,sK4)
| ~ in(sK4,the_carrier(sK2))
| ~ element(sK3,the_carrier(sK2))
| ~ subrelstr(sK2,sK1)
| ~ full_subrelstr(sK2,sK1) ),
inference(resolution,[],[f273,f181]) ).
fof(f273,plain,
! [X0] :
( ~ element(sK4,the_carrier(X0))
| ~ in(sK3,the_carrier(X0))
| related(X0,sK3,sK4)
| ~ in(sK4,the_carrier(X0))
| ~ element(sK3,the_carrier(X0))
| ~ subrelstr(X0,sK1)
| ~ full_subrelstr(X0,sK1) ),
inference(subsumption_resolution,[],[f272,f194]) ).
fof(f194,plain,
rel_str(sK1),
inference(subsumption_resolution,[],[f191,f117]) ).
fof(f191,plain,
( rel_str(sK1)
| ~ one_sorted_str(sK0) ),
inference(resolution,[],[f139,f119]) ).
fof(f139,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| rel_str(X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ net_str(X1,X0) )
| ~ 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(f272,plain,
! [X0] :
( ~ in(sK4,the_carrier(X0))
| ~ in(sK3,the_carrier(X0))
| related(X0,sK3,sK4)
| ~ element(sK4,the_carrier(X0))
| ~ element(sK3,the_carrier(X0))
| ~ subrelstr(X0,sK1)
| ~ full_subrelstr(X0,sK1)
| ~ rel_str(sK1) ),
inference(subsumption_resolution,[],[f271,f123]) ).
fof(f123,plain,
element(sK3,the_carrier(sK1)),
inference(cnf_transformation,[],[f84]) ).
fof(f271,plain,
! [X0] :
( ~ in(sK4,the_carrier(X0))
| ~ in(sK3,the_carrier(X0))
| related(X0,sK3,sK4)
| ~ element(sK4,the_carrier(X0))
| ~ element(sK3,the_carrier(X0))
| ~ element(sK3,the_carrier(sK1))
| ~ subrelstr(X0,sK1)
| ~ full_subrelstr(X0,sK1)
| ~ rel_str(sK1) ),
inference(subsumption_resolution,[],[f270,f124]) ).
fof(f124,plain,
element(sK4,the_carrier(sK1)),
inference(cnf_transformation,[],[f84]) ).
fof(f270,plain,
! [X0] :
( ~ in(sK4,the_carrier(X0))
| ~ in(sK3,the_carrier(X0))
| related(X0,sK3,sK4)
| ~ element(sK4,the_carrier(X0))
| ~ element(sK3,the_carrier(X0))
| ~ element(sK4,the_carrier(sK1))
| ~ element(sK3,the_carrier(sK1))
| ~ subrelstr(X0,sK1)
| ~ full_subrelstr(X0,sK1)
| ~ rel_str(sK1) ),
inference(resolution,[],[f179,f129]) ).
fof(f129,plain,
related(sK1,sK3,sK4),
inference(cnf_transformation,[],[f84]) ).
fof(f179,plain,
! [X0,X1,X4,X5] :
( ~ related(X0,X4,X5)
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| related(X1,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,[],[f178]) ).
fof(f178,plain,
! [X2,X0,X1,X4,X5] :
( 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,[],[f137]) ).
fof(f137,plain,
! [X2,X3,X0,X1,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(cnf_transformation,[],[f55]) ).
fof(f55,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,[],[f54]) ).
fof(f54,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]) ).
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))
=> ( ( 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/benchmark/theBenchmark.p',t61_yellow_0) ).
fof(f253,plain,
~ spl22_4,
inference(avatar_contradiction_clause,[],[f252]) ).
fof(f252,plain,
( $false
| ~ spl22_4 ),
inference(subsumption_resolution,[],[f251,f117]) ).
fof(f251,plain,
( ~ one_sorted_str(sK0)
| ~ spl22_4 ),
inference(subsumption_resolution,[],[f250,f237]) ).
fof(f237,plain,
( ~ rel_str(sK2)
| ~ spl22_4 ),
inference(resolution,[],[f236,f135]) ).
fof(f135,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_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(f236,plain,
( ~ one_sorted_str(sK2)
| ~ spl22_4 ),
inference(subsumption_resolution,[],[f233,f120]) ).
fof(f120,plain,
~ empty_carrier(sK2),
inference(cnf_transformation,[],[f84]) ).
fof(f233,plain,
( ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| ~ spl22_4 ),
inference(resolution,[],[f231,f147]) ).
fof(f147,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,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(f231,plain,
( empty(the_carrier(sK2))
| ~ spl22_4 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f250,plain,
( rel_str(sK2)
| ~ one_sorted_str(sK0) ),
inference(resolution,[],[f249,f139]) ).
fof(f249,plain,
net_str(sK2,sK0),
inference(subsumption_resolution,[],[f248,f117]) ).
fof(f248,plain,
( net_str(sK2,sK0)
| ~ one_sorted_str(sK0) ),
inference(subsumption_resolution,[],[f245,f119]) ).
fof(f245,plain,
( net_str(sK2,sK0)
| ~ net_str(sK1,sK0)
| ~ one_sorted_str(sK0) ),
inference(resolution,[],[f154,f122]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ subnetstr(X2,X0,X1)
| net_str(X2,X0)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ! [X2] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1) )
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ! [X2] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1) )
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(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/benchmark/theBenchmark.p',dt_m1_yellow_6) ).
fof(f232,plain,
( spl22_3
| spl22_4 ),
inference(avatar_split_clause,[],[f202,f229,f225]) ).
fof(f202,plain,
( empty(the_carrier(sK2))
| in(sK3,the_carrier(sK2)) ),
inference(resolution,[],[f153,f180]) ).
fof(f220,plain,
~ spl22_2,
inference(avatar_contradiction_clause,[],[f219]) ).
fof(f219,plain,
( $false
| ~ spl22_2 ),
inference(subsumption_resolution,[],[f218,f194]) ).
fof(f218,plain,
( ~ rel_str(sK1)
| ~ spl22_2 ),
inference(resolution,[],[f217,f135]) ).
fof(f217,plain,
( ~ one_sorted_str(sK1)
| ~ spl22_2 ),
inference(subsumption_resolution,[],[f214,f118]) ).
fof(f118,plain,
~ empty_carrier(sK1),
inference(cnf_transformation,[],[f84]) ).
fof(f214,plain,
( ~ one_sorted_str(sK1)
| empty_carrier(sK1)
| ~ spl22_2 ),
inference(resolution,[],[f212,f147]) ).
fof(f212,plain,
( empty(the_carrier(sK1))
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f210,plain,
( spl22_2
<=> empty(the_carrier(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).
fof(f213,plain,
( spl22_1
| spl22_2 ),
inference(avatar_split_clause,[],[f200,f210,f206]) ).
fof(f206,plain,
( spl22_1
<=> in(sK3,the_carrier(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).
fof(f200,plain,
( empty(the_carrier(sK1))
| in(sK3,the_carrier(sK1)) ),
inference(resolution,[],[f153,f123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SEU375+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 21:02:59 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (16756)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (16759)WARNING: value z3 for option sas not known
% 0.13/0.37 % (16759)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (16763)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % (16760)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (16758)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (16762)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (16761)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (16757)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 TRYING [3]
% 0.13/0.38 % (16759)First to succeed.
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 % (16762)Also succeeded, but the first one will report.
% 0.13/0.38 % (16759)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (16759)------------------------------
% 0.13/0.38 % (16759)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38 % (16759)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (16759)Memory used [KB]: 949
% 0.13/0.38 % (16759)Time elapsed: 0.009 s
% 0.13/0.38 % (16759)Instructions burned: 13 (million)
% 0.13/0.38 % (16759)------------------------------
% 0.13/0.38 % (16759)------------------------------
% 0.13/0.38 % (16756)Success in time 0.022 s
%------------------------------------------------------------------------------