%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU401+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:53:08 PM UTC 2026
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of formulae : 160 ( 10 unt; 18 def)
% Number of atoms : 645 ( 154 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 729 ( 244 ~; 273 |; 175 &)
% ( 29 <=>; 7 =>; 0 <=; 1 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 19 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 149 ( 2 sgn 90 !; 59 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X3,X4,X5] :
( ( ! [X6] :
( in(X6,X4)
<=> ( in(X6,the_carrier(X1))
& ? [X7] :
( netstr_induced_subset(X7,X0,X1)
& ? [X8] :
( element(X8,the_carrier(X1))
& X3 = topstr_closure(X0,X7)
& X6 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) ) ) ) )
& ! [X6] :
( in(X6,X5)
<=> ( in(X6,the_carrier(X1))
& ? [X9] :
( netstr_induced_subset(X9,X0,X1)
& ? [X10] :
( element(X10,the_carrier(X1))
& X3 = topstr_closure(X0,X9)
& X6 = X10
& X9 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) ) ) ) ) )
=> X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_xboole_0__e6_39_3__yellow19__1) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X3,X4,X5] :
( ( ! [X6] :
( in(X6,X4)
<=> ( in(X6,the_carrier(X1))
& ? [X7] :
( netstr_induced_subset(X7,X0,X1)
& ? [X8] :
( element(X8,the_carrier(X1))
& X3 = topstr_closure(X0,X7)
& X6 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) ) ) ) )
& ! [X6] :
( in(X6,X5)
<=> ( in(X6,the_carrier(X1))
& ? [X9] :
( netstr_induced_subset(X9,X0,X1)
& ? [X10] :
( element(X10,the_carrier(X1))
& X3 = topstr_closure(X0,X9)
& X6 = X10
& X9 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) ) ) ) ) )
=> X4 = X5 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f70,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(f71,plain,
~ ! [X0,X1] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X3,X4,X5] :
( ( ! [X6] :
( in(X6,X4)
<=> ( in(X6,the_carrier(X1))
& ? [X7] :
( netstr_induced_subset(X7,X0,X1)
& ? [X8] :
( element(X8,the_carrier(X1))
& X3 = topstr_closure(X0,X7)
& X6 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) ) ) ) )
& ! [X9] :
( in(X9,X5)
<=> ( in(X9,the_carrier(X1))
& ? [X10] :
( netstr_induced_subset(X10,X0,X1)
& ? [X11] :
( element(X11,the_carrier(X1))
& topstr_closure(X0,X10) = X3
& X9 = X11
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) = X10 ) ) ) ) )
=> X4 = X5 ) ),
inference(rectify,[],[f2]) ).
fof(f87,plain,
? [X0,X1] :
( ? [X3,X4,X5] :
( X4 != X5
& ! [X6] :
( in(X6,X4)
<=> ( in(X6,the_carrier(X1))
& ? [X7] :
( netstr_induced_subset(X7,X0,X1)
& ? [X8] :
( element(X8,the_carrier(X1))
& X3 = topstr_closure(X0,X7)
& X6 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) ) ) ) )
& ! [X9] :
( in(X9,X5)
<=> ( in(X9,the_carrier(X1))
& ? [X10] :
( netstr_induced_subset(X10,X0,X1)
& ? [X11] :
( element(X11,the_carrier(X1))
& topstr_closure(X0,X10) = X3
& X9 = X11
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) = X10 ) ) ) ) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f88,plain,
? [X0,X1] :
( ? [X3,X4,X5] :
( X4 != X5
& ! [X6] :
( in(X6,X4)
<=> ( in(X6,the_carrier(X1))
& ? [X7] :
( netstr_induced_subset(X7,X0,X1)
& ? [X8] :
( element(X8,the_carrier(X1))
& X3 = topstr_closure(X0,X7)
& X6 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) ) ) ) )
& ! [X9] :
( in(X9,X5)
<=> ( in(X9,the_carrier(X1))
& ? [X10] :
( netstr_induced_subset(X10,X0,X1)
& ? [X11] :
( element(X11,the_carrier(X1))
& topstr_closure(X0,X10) = X3
& X9 = X11
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) = X10 ) ) ) ) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) ),
inference(flattening,[],[f87]) ).
fof(f174,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f70]) ).
fof(f175,plain,
? [X0,X1] :
( ? [X3,X4,X5] :
( X4 != X5
& ! [X6] :
( ( in(X6,X4)
| ~ in(X6,the_carrier(X1))
| ! [X7] :
( ~ netstr_induced_subset(X7,X0,X1)
| ! [X8] :
( ~ element(X8,the_carrier(X1))
| topstr_closure(X0,X7) != X3
| X6 != X8
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) != X7 ) ) )
& ( ( in(X6,the_carrier(X1))
& ? [X7] :
( netstr_induced_subset(X7,X0,X1)
& ? [X8] :
( element(X8,the_carrier(X1))
& X3 = topstr_closure(X0,X7)
& X6 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) ) ) )
| ~ in(X6,X4) ) )
& ! [X9] :
( ( in(X9,X5)
| ~ in(X9,the_carrier(X1))
| ! [X10] :
( ~ netstr_induced_subset(X10,X0,X1)
| ! [X11] :
( ~ element(X11,the_carrier(X1))
| topstr_closure(X0,X10) != X3
| X9 != X11
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) != X10 ) ) )
& ( ( in(X9,the_carrier(X1))
& ? [X10] :
( netstr_induced_subset(X10,X0,X1)
& ? [X11] :
( element(X11,the_carrier(X1))
& topstr_closure(X0,X10) = X3
& X9 = X11
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) = X10 ) ) )
| ~ in(X9,X5) ) ) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) ),
inference(nnf_transformation,[],[f88]) ).
fof(f176,plain,
? [X0,X1] :
( ? [X3,X4,X5] :
( X4 != X5
& ! [X6] :
( ( in(X6,X4)
| ~ in(X6,the_carrier(X1))
| ! [X7] :
( ~ netstr_induced_subset(X7,X0,X1)
| ! [X8] :
( ~ element(X8,the_carrier(X1))
| topstr_closure(X0,X7) != X3
| X6 != X8
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) != X7 ) ) )
& ( ( in(X6,the_carrier(X1))
& ? [X7] :
( netstr_induced_subset(X7,X0,X1)
& ? [X8] :
( element(X8,the_carrier(X1))
& X3 = topstr_closure(X0,X7)
& X6 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) ) ) )
| ~ in(X6,X4) ) )
& ! [X9] :
( ( in(X9,X5)
| ~ in(X9,the_carrier(X1))
| ! [X10] :
( ~ netstr_induced_subset(X10,X0,X1)
| ! [X11] :
( ~ element(X11,the_carrier(X1))
| topstr_closure(X0,X10) != X3
| X9 != X11
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) != X10 ) ) )
& ( ( in(X9,the_carrier(X1))
& ? [X10] :
( netstr_induced_subset(X10,X0,X1)
& ? [X11] :
( element(X11,the_carrier(X1))
& topstr_closure(X0,X10) = X3
& X9 = X11
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) = X10 ) ) )
| ~ in(X9,X5) ) ) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) ),
inference(flattening,[],[f175]) ).
fof(f177,plain,
? [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& ! [X5] :
( ( in(X5,X3)
| ~ in(X5,the_carrier(X1))
| ! [X6] :
( ~ netstr_induced_subset(X6,X0,X1)
| ! [X7] :
( ~ element(X7,the_carrier(X1))
| topstr_closure(X0,X6) != X2
| X5 != X7
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) != X6 ) ) )
& ( ( in(X5,the_carrier(X1))
& ? [X8] :
( netstr_induced_subset(X8,X0,X1)
& ? [X9] :
( element(X9,the_carrier(X1))
& topstr_closure(X0,X8) = X2
& X5 = X9
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X9)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X9))) = X8 ) ) )
| ~ in(X5,X3) ) )
& ! [X10] :
( ( in(X10,X4)
| ~ in(X10,the_carrier(X1))
| ! [X11] :
( ~ netstr_induced_subset(X11,X0,X1)
| ! [X12] :
( ~ element(X12,the_carrier(X1))
| topstr_closure(X0,X11) != X2
| X10 != X12
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X12)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X12))) != X11 ) ) )
& ( ( in(X10,the_carrier(X1))
& ? [X13] :
( netstr_induced_subset(X13,X0,X1)
& ? [X14] :
( element(X14,the_carrier(X1))
& topstr_closure(X0,X13) = X2
& X10 = X14
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X14)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X14))) = X13 ) ) )
| ~ in(X10,X4) ) ) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) ),
inference(rectify,[],[f176]) ).
fof(f178,plain,
( sK3 != sK4
& ! [X5] :
( ( in(X5,sK3)
| ~ in(X5,the_carrier(sK1))
| ! [X6] :
( ~ netstr_induced_subset(X6,sK0,sK1)
| ! [X7] :
( ~ element(X7,the_carrier(sK1))
| sK2 != topstr_closure(sK0,X6)
| X5 != X7
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0,sK1,X7)),the_carrier(sK0),the_mapping(sK0,subnetstr_of_element(sK0,sK1,X7))) != X6 ) ) )
& ( ( in(X5,the_carrier(sK1))
& netstr_induced_subset(sK5(X5),sK0,sK1)
& element(sK6(X5),the_carrier(sK1))
& sK2 = topstr_closure(sK0,sK5(X5))
& sK6(X5) = X5
& sK5(X5) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0,sK1,sK6(X5))),the_carrier(sK0),the_mapping(sK0,subnetstr_of_element(sK0,sK1,sK6(X5)))) )
| ~ in(X5,sK3) ) )
& ! [X10] :
( ( in(X10,sK4)
| ~ in(X10,the_carrier(sK1))
| ! [X11] :
( ~ netstr_induced_subset(X11,sK0,sK1)
| ! [X12] :
( ~ element(X12,the_carrier(sK1))
| sK2 != topstr_closure(sK0,X11)
| X10 != X12
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0,sK1,X12)),the_carrier(sK0),the_mapping(sK0,subnetstr_of_element(sK0,sK1,X12))) != X11 ) ) )
& ( ( in(X10,the_carrier(sK1))
& netstr_induced_subset(sK7(X10),sK0,sK1)
& element(sK8(X10),the_carrier(sK1))
& sK2 = topstr_closure(sK0,sK7(X10))
& sK8(X10) = X10
& sK7(X10) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0,sK1,sK8(X10))),the_carrier(sK0),the_mapping(sK0,subnetstr_of_element(sK0,sK1,sK8(X10)))) )
| ~ in(X10,sK4) ) )
& ~ empty_carrier(sK0)
& topological_space(sK0)
& top_str(sK0)
& ~ empty_carrier(sK1)
& transitive_relstr(sK1)
& directed_relstr(sK1)
& net_str(sK1,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X8,sK5(X5)),skolemize(X9,sK6(X5)),skolemize(X13,sK7(X10)),skolemize(X14,sK8(X10))],[f177]) ).
fof(f200,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f174]) ).
fof(f201,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK29(X0,X1),X1)
| ~ in(sK29(X0,X1),X0) )
& ( in(sK29(X0,X1),X1)
| in(sK29(X0,X1),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(X2,sK29(X0,X1))],[f200]) ).
fof(f209,plain,
! [X10] :
( ~ in(X10,sK4)
| sK7(X10) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0,sK1,sK8(X10))),the_carrier(sK0),the_mapping(sK0,subnetstr_of_element(sK0,sK1,sK8(X10)))) ),
inference(cnf_transformation,[],[f178]) ).
fof(f210,plain,
! [X10] :
( ~ in(X10,sK4)
| sK8(X10) = X10 ),
inference(cnf_transformation,[],[f178]) ).
fof(f211,plain,
! [X10] :
( ~ in(X10,sK4)
| sK2 = topstr_closure(sK0,sK7(X10)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f212,plain,
! [X10] :
( element(sK8(X10),the_carrier(sK1))
| ~ in(X10,sK4) ),
inference(cnf_transformation,[],[f178]) ).
fof(f213,plain,
! [X10] :
( netstr_induced_subset(sK7(X10),sK0,sK1)
| ~ in(X10,sK4) ),
inference(cnf_transformation,[],[f178]) ).
fof(f214,plain,
! [X10] :
( in(X10,the_carrier(sK1))
| ~ in(X10,sK4) ),
inference(cnf_transformation,[],[f178]) ).
fof(f215,plain,
! [X10,X11,X12] :
( in(X10,sK4)
| ~ in(X10,the_carrier(sK1))
| ~ netstr_induced_subset(X11,sK0,sK1)
| ~ element(X12,the_carrier(sK1))
| sK2 != topstr_closure(sK0,X11)
| X10 != X12
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0,sK1,X12)),the_carrier(sK0),the_mapping(sK0,subnetstr_of_element(sK0,sK1,X12))) != X11 ),
inference(cnf_transformation,[],[f178]) ).
fof(f216,plain,
! [X5] :
( ~ in(X5,sK3)
| sK5(X5) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0,sK1,sK6(X5))),the_carrier(sK0),the_mapping(sK0,subnetstr_of_element(sK0,sK1,sK6(X5)))) ),
inference(cnf_transformation,[],[f178]) ).
fof(f217,plain,
! [X5] :
( ~ in(X5,sK3)
| sK6(X5) = X5 ),
inference(cnf_transformation,[],[f178]) ).
fof(f218,plain,
! [X5] :
( ~ in(X5,sK3)
| sK2 = topstr_closure(sK0,sK5(X5)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f219,plain,
! [X5] :
( element(sK6(X5),the_carrier(sK1))
| ~ in(X5,sK3) ),
inference(cnf_transformation,[],[f178]) ).
fof(f220,plain,
! [X5] :
( netstr_induced_subset(sK5(X5),sK0,sK1)
| ~ in(X5,sK3) ),
inference(cnf_transformation,[],[f178]) ).
fof(f221,plain,
! [X5] :
( in(X5,the_carrier(sK1))
| ~ in(X5,sK3) ),
inference(cnf_transformation,[],[f178]) ).
fof(f222,plain,
! [X6,X7,X5] :
( in(X5,sK3)
| ~ in(X5,the_carrier(sK1))
| ~ netstr_induced_subset(X6,sK0,sK1)
| ~ element(X7,the_carrier(sK1))
| sK2 != topstr_closure(sK0,X6)
| X5 != X7
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0,sK1,X7)),the_carrier(sK0),the_mapping(sK0,subnetstr_of_element(sK0,sK1,X7))) != X6 ),
inference(cnf_transformation,[],[f178]) ).
fof(f223,plain,
sK3 != sK4,
inference(cnf_transformation,[],[f178]) ).
fof(f347,plain,
! [X0,X1] :
( in(sK29(X0,X1),X1)
| X0 = X1
| in(sK29(X0,X1),X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f348,plain,
! [X0,X1] :
( ~ in(sK29(X0,X1),X1)
| ~ in(sK29(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f201]) ).
fof(f349,plain,
! [X6,X7] :
( in(X7,sK3)
| ~ in(X7,the_carrier(sK1))
| ~ netstr_induced_subset(X6,sK0,sK1)
| ~ element(X7,the_carrier(sK1))
| sK2 != topstr_closure(sK0,X6)
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0,sK1,X7)),the_carrier(sK0),the_mapping(sK0,subnetstr_of_element(sK0,sK1,X7))) != X6 ),
inference(equality_resolution,[],[f222]) ).
fof(f350,plain,
! [X7] :
( ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0,sK1,X7)),the_carrier(sK0),the_mapping(sK0,subnetstr_of_element(sK0,sK1,X7))),sK0,sK1)
| ~ in(X7,the_carrier(sK1))
| in(X7,sK3)
| ~ element(X7,the_carrier(sK1))
| sK2 != topstr_closure(sK0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0,sK1,X7)),the_carrier(sK0),the_mapping(sK0,subnetstr_of_element(sK0,sK1,X7)))) ),
inference(equality_resolution,[],[f349]) ).
fof(f351,plain,
! [X11,X12] :
( in(X12,sK4)
| ~ in(X12,the_carrier(sK1))
| ~ netstr_induced_subset(X11,sK0,sK1)
| ~ element(X12,the_carrier(sK1))
| sK2 != topstr_closure(sK0,X11)
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0,sK1,X12)),the_carrier(sK0),the_mapping(sK0,subnetstr_of_element(sK0,sK1,X12))) != X11 ),
inference(equality_resolution,[],[f215]) ).
fof(f352,plain,
! [X12] :
( ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0,sK1,X12)),the_carrier(sK0),the_mapping(sK0,subnetstr_of_element(sK0,sK1,X12))),sK0,sK1)
| ~ in(X12,the_carrier(sK1))
| in(X12,sK4)
| ~ element(X12,the_carrier(sK1))
| sK2 != topstr_closure(sK0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0,sK1,X12)),the_carrier(sK0),the_mapping(sK0,subnetstr_of_element(sK0,sK1,X12)))) ),
inference(equality_resolution,[],[f351]) ).
fof(f526,plain,
! [X0] :
( in(sK29(X0,sK3),X0)
| sK3 = X0
| sK2 = topstr_closure(sK0,sK5(sK29(X0,sK3))) ),
inference(resolution,[],[f347,f218]) ).
fof(f527,plain,
! [X0] :
( in(sK29(X0,sK3),X0)
| sK3 = X0
| sK29(X0,sK3) = sK6(sK29(X0,sK3)) ),
inference(resolution,[],[f347,f217]) ).
fof(f545,definition,
( spl30_5
<=> sK29(sK4,sK3) = sK8(sK29(sK4,sK3)) ),
introduced(definition,[new_symbols(definition,[spl30_5])],[avatar_definition]) ).
fof(f547,plain,
( sK29(sK4,sK3) = sK8(sK29(sK4,sK3))
| ~ spl30_5 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f553,definition,
( spl30_7
<=> sK3 = sK4 ),
introduced(definition,[new_symbols(definition,[spl30_7])],[avatar_definition]) ).
fof(f555,plain,
( sK3 = sK4
| ~ spl30_7 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f558,definition,
( spl30_8
<=> sK2 = topstr_closure(sK0,sK7(sK29(sK4,sK3))) ),
introduced(definition,[new_symbols(definition,[spl30_8])],[avatar_definition]) ).
fof(f563,definition,
( spl30_9
<=> sK7(sK29(sK4,sK3)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0,sK1,sK8(sK29(sK4,sK3)))),the_carrier(sK0),the_mapping(sK0,subnetstr_of_element(sK0,sK1,sK8(sK29(sK4,sK3))))) ),
introduced(definition,[new_symbols(definition,[spl30_9])],[avatar_definition]) ).
fof(f565,plain,
( sK7(sK29(sK4,sK3)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0,sK1,sK8(sK29(sK4,sK3)))),the_carrier(sK0),the_mapping(sK0,subnetstr_of_element(sK0,sK1,sK8(sK29(sK4,sK3)))))
| ~ spl30_9 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f639,plain,
( sK3 = sK4
| sK2 = topstr_closure(sK0,sK5(sK29(sK4,sK3)))
| sK7(sK29(sK4,sK3)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0,sK1,sK8(sK29(sK4,sK3)))),the_carrier(sK0),the_mapping(sK0,subnetstr_of_element(sK0,sK1,sK8(sK29(sK4,sK3))))) ),
inference(resolution,[],[f526,f209]) ).
fof(f640,plain,
( sK3 = sK4
| sK2 = topstr_closure(sK0,sK5(sK29(sK4,sK3)))
| sK2 = topstr_closure(sK0,sK7(sK29(sK4,sK3))) ),
inference(resolution,[],[f526,f211]) ).
fof(f641,plain,
( sK3 = sK4
| sK2 = topstr_closure(sK0,sK5(sK29(sK4,sK3)))
| sK29(sK4,sK3) = sK8(sK29(sK4,sK3)) ),
inference(resolution,[],[f526,f210]) ).
fof(f645,definition,
( spl30_18
<=> sK2 = topstr_closure(sK0,sK5(sK29(sK4,sK3))) ),
introduced(definition,[new_symbols(definition,[spl30_18])],[avatar_definition]) ).
fof(f648,plain,
( spl30_5
| spl30_18
| spl30_7 ),
inference(avatar_split_clause,[],[f641,f553,f645,f545]) ).
fof(f649,plain,
( spl30_8
| spl30_18
| spl30_7 ),
inference(avatar_split_clause,[],[f640,f553,f645,f558]) ).
fof(f650,plain,
( spl30_9
| spl30_18
| spl30_7 ),
inference(avatar_split_clause,[],[f639,f553,f645,f563]) ).
fof(f654,plain,
( sK3 != sK3
| ~ spl30_7 ),
inference(superposition,[],[f223,f555]) ).
fof(f667,plain,
( $false
| ~ spl30_7 ),
inference(trivial_inequality_removal,[],[f654]) ).
fof(f668,plain,
~ spl30_7,
inference(avatar_contradiction_clause,[],[f667]) ).
fof(f671,definition,
( spl30_19
<=> in(sK29(sK4,sK3),sK4) ),
introduced(definition,[new_symbols(definition,[spl30_19])],[avatar_definition]) ).
fof(f672,plain,
( in(sK29(sK4,sK3),sK4)
| ~ spl30_19 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f673,plain,
( ~ in(sK29(sK4,sK3),sK4)
| spl30_19 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f679,plain,
( sK3 = sK4
| sK2 = topstr_closure(sK0,sK5(sK29(sK4,sK3)))
| spl30_19 ),
inference(resolution,[],[f673,f526]) ).
fof(f681,plain,
( spl30_18
| spl30_7
| spl30_19 ),
inference(avatar_split_clause,[],[f679,f671,f553,f645]) ).
fof(f683,plain,
( sK3 = sK4
| sK29(sK4,sK3) = sK6(sK29(sK4,sK3))
| spl30_19 ),
inference(resolution,[],[f527,f673]) ).
fof(f691,plain,
( sK3 = sK4
| sK29(sK4,sK3) = sK6(sK29(sK4,sK3))
| sK7(sK29(sK4,sK3)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0,sK1,sK8(sK29(sK4,sK3)))),the_carrier(sK0),the_mapping(sK0,subnetstr_of_element(sK0,sK1,sK8(sK29(sK4,sK3))))) ),
inference(resolution,[],[f527,f209]) ).
fof(f693,plain,
( sK3 = sK4
| sK29(sK4,sK3) = sK6(sK29(sK4,sK3))
| sK29(sK4,sK3) = sK8(sK29(sK4,sK3)) ),
inference(resolution,[],[f527,f210]) ).
fof(f697,definition,
( spl30_21
<=> sK29(sK4,sK3) = sK6(sK29(sK4,sK3)) ),
introduced(definition,[new_symbols(definition,[spl30_21])],[avatar_definition]) ).
fof(f699,plain,
( sK29(sK4,sK3) = sK6(sK29(sK4,sK3))
| ~ spl30_21 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f700,plain,
( spl30_21
| spl30_7
| spl30_19 ),
inference(avatar_split_clause,[],[f683,f671,f553,f697]) ).
fof(f701,plain,
( spl30_5
| spl30_21
| spl30_7 ),
inference(avatar_split_clause,[],[f693,f553,f697,f545]) ).
fof(f702,plain,
( ~ in(sK29(sK4,sK3),sK3)
| sK3 = sK4
| ~ spl30_19 ),
inference(resolution,[],[f672,f348]) ).
fof(f704,plain,
( sK7(sK29(sK4,sK3)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0,sK1,sK8(sK29(sK4,sK3)))),the_carrier(sK0),the_mapping(sK0,subnetstr_of_element(sK0,sK1,sK8(sK29(sK4,sK3)))))
| ~ spl30_19 ),
inference(resolution,[],[f672,f209]) ).
fof(f710,definition,
( spl30_22
<=> in(sK29(sK4,sK3),sK3) ),
introduced(definition,[new_symbols(definition,[spl30_22])],[avatar_definition]) ).
fof(f711,plain,
( in(sK29(sK4,sK3),sK3)
| ~ spl30_22 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f712,plain,
( ~ in(sK29(sK4,sK3),sK3)
| spl30_22 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f713,plain,
( spl30_7
| ~ spl30_22
| ~ spl30_19 ),
inference(avatar_split_clause,[],[f702,f671,f710,f553]) ).
fof(f714,plain,
( sK3 = sK4
| in(sK29(sK4,sK3),sK4)
| spl30_22 ),
inference(resolution,[],[f712,f347]) ).
fof(f1351,plain,
( ~ netstr_induced_subset(sK7(sK29(sK4,sK3)),sK0,sK1)
| ~ in(sK8(sK29(sK4,sK3)),the_carrier(sK1))
| in(sK8(sK29(sK4,sK3)),sK3)
| ~ element(sK8(sK29(sK4,sK3)),the_carrier(sK1))
| sK2 != topstr_closure(sK0,sK7(sK29(sK4,sK3)))
| ~ spl30_9 ),
inference(superposition,[],[f350,f565]) ).
fof(f1359,definition,
( spl30_73
<=> element(sK8(sK29(sK4,sK3)),the_carrier(sK1)) ),
introduced(definition,[new_symbols(definition,[spl30_73])],[avatar_definition]) ).
fof(f1361,plain,
( ~ element(sK8(sK29(sK4,sK3)),the_carrier(sK1))
| spl30_73 ),
inference(avatar_component_clause,[],[f1359]) ).
fof(f1363,definition,
( spl30_74
<=> in(sK8(sK29(sK4,sK3)),sK3) ),
introduced(definition,[new_symbols(definition,[spl30_74])],[avatar_definition]) ).
fof(f1365,plain,
( in(sK8(sK29(sK4,sK3)),sK3)
| ~ spl30_74 ),
inference(avatar_component_clause,[],[f1363]) ).
fof(f1367,definition,
( spl30_75
<=> in(sK8(sK29(sK4,sK3)),the_carrier(sK1)) ),
introduced(definition,[new_symbols(definition,[spl30_75])],[avatar_definition]) ).
fof(f1369,plain,
( ~ in(sK8(sK29(sK4,sK3)),the_carrier(sK1))
| spl30_75 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f1371,definition,
( spl30_76
<=> netstr_induced_subset(sK7(sK29(sK4,sK3)),sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl30_76])],[avatar_definition]) ).
fof(f1373,plain,
( ~ netstr_induced_subset(sK7(sK29(sK4,sK3)),sK0,sK1)
| spl30_76 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f1374,plain,
( ~ spl30_8
| ~ spl30_73
| spl30_74
| ~ spl30_75
| ~ spl30_76
| ~ spl30_9 ),
inference(avatar_split_clause,[],[f1351,f563,f1371,f1367,f1363,f1359,f558]) ).
fof(f1376,definition,
( spl30_77
<=> in(sK8(sK29(sK4,sK3)),sK4) ),
introduced(definition,[new_symbols(definition,[spl30_77])],[avatar_definition]) ).
fof(f1377,plain,
( ~ in(sK8(sK29(sK4,sK3)),sK4)
| spl30_77 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f1380,plain,
( spl30_9
| spl30_21
| spl30_7 ),
inference(avatar_split_clause,[],[f691,f553,f697,f563]) ).
fof(f1381,plain,
( spl30_9
| ~ spl30_19 ),
inference(avatar_split_clause,[],[f704,f671,f563]) ).
fof(f1382,plain,
( spl30_19
| spl30_7
| spl30_22 ),
inference(avatar_split_clause,[],[f714,f710,f553,f671]) ).
fof(f1392,plain,
( sK2 = topstr_closure(sK0,sK7(sK29(sK4,sK3)))
| ~ spl30_19 ),
inference(resolution,[],[f672,f211]) ).
fof(f1393,plain,
( sK29(sK4,sK3) = sK8(sK29(sK4,sK3))
| ~ spl30_19 ),
inference(resolution,[],[f672,f210]) ).
fof(f1398,plain,
( ~ in(sK29(sK4,sK3),sK4)
| ~ spl30_5
| spl30_77 ),
inference(superposition,[],[f1377,f547]) ).
fof(f1399,plain,
( ~ spl30_19
| ~ spl30_5
| spl30_77 ),
inference(avatar_split_clause,[],[f1398,f1376,f545,f671]) ).
fof(f1401,plain,
( spl30_5
| ~ spl30_19 ),
inference(avatar_split_clause,[],[f1393,f671,f545]) ).
fof(f1408,plain,
( ~ in(sK29(sK4,sK3),sK4)
| spl30_73 ),
inference(resolution,[],[f1361,f212]) ).
fof(f1410,plain,
( ~ spl30_19
| spl30_73 ),
inference(avatar_split_clause,[],[f1408,f1359,f671]) ).
fof(f1413,plain,
( ~ in(sK8(sK29(sK4,sK3)),sK4)
| spl30_75 ),
inference(resolution,[],[f1369,f214]) ).
fof(f1416,plain,
( ~ spl30_77
| spl30_75 ),
inference(avatar_split_clause,[],[f1413,f1367,f1376]) ).
fof(f1420,plain,
( ~ in(sK29(sK4,sK3),sK4)
| spl30_76 ),
inference(resolution,[],[f1373,f213]) ).
fof(f1421,plain,
( ~ spl30_19
| spl30_76 ),
inference(avatar_split_clause,[],[f1420,f1371,f671]) ).
fof(f1423,plain,
( spl30_8
| ~ spl30_19 ),
inference(avatar_split_clause,[],[f1392,f671,f558]) ).
fof(f1442,plain,
( in(sK29(sK4,sK3),sK3)
| ~ spl30_5
| ~ spl30_74 ),
inference(superposition,[],[f1365,f547]) ).
fof(f1451,plain,
( spl30_22
| ~ spl30_5
| ~ spl30_74 ),
inference(avatar_split_clause,[],[f1442,f1363,f545,f710]) ).
fof(f1457,plain,
( sK5(sK29(sK4,sK3)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0,sK1,sK6(sK29(sK4,sK3)))),the_carrier(sK0),the_mapping(sK0,subnetstr_of_element(sK0,sK1,sK6(sK29(sK4,sK3)))))
| ~ spl30_22 ),
inference(resolution,[],[f711,f216]) ).
fof(f1547,plain,
( ~ netstr_induced_subset(sK5(sK29(sK4,sK3)),sK0,sK1)
| ~ in(sK6(sK29(sK4,sK3)),the_carrier(sK1))
| in(sK6(sK29(sK4,sK3)),sK4)
| ~ element(sK6(sK29(sK4,sK3)),the_carrier(sK1))
| sK2 != topstr_closure(sK0,sK5(sK29(sK4,sK3)))
| ~ spl30_22 ),
inference(superposition,[],[f352,f1457]) ).
fof(f1556,definition,
( spl30_88
<=> element(sK6(sK29(sK4,sK3)),the_carrier(sK1)) ),
introduced(definition,[new_symbols(definition,[spl30_88])],[avatar_definition]) ).
fof(f1558,plain,
( ~ element(sK6(sK29(sK4,sK3)),the_carrier(sK1))
| spl30_88 ),
inference(avatar_component_clause,[],[f1556]) ).
fof(f1560,definition,
( spl30_89
<=> in(sK6(sK29(sK4,sK3)),sK3) ),
introduced(definition,[new_symbols(definition,[spl30_89])],[avatar_definition]) ).
fof(f1561,plain,
( ~ in(sK6(sK29(sK4,sK3)),sK3)
| spl30_89 ),
inference(avatar_component_clause,[],[f1560]) ).
fof(f1564,definition,
( spl30_90
<=> in(sK6(sK29(sK4,sK3)),the_carrier(sK1)) ),
introduced(definition,[new_symbols(definition,[spl30_90])],[avatar_definition]) ).
fof(f1566,plain,
( ~ in(sK6(sK29(sK4,sK3)),the_carrier(sK1))
| spl30_90 ),
inference(avatar_component_clause,[],[f1564]) ).
fof(f1568,definition,
( spl30_91
<=> netstr_induced_subset(sK5(sK29(sK4,sK3)),sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl30_91])],[avatar_definition]) ).
fof(f1570,plain,
( ~ netstr_induced_subset(sK5(sK29(sK4,sK3)),sK0,sK1)
| spl30_91 ),
inference(avatar_component_clause,[],[f1568]) ).
fof(f1573,definition,
( spl30_92
<=> in(sK6(sK29(sK4,sK3)),sK4) ),
introduced(definition,[new_symbols(definition,[spl30_92])],[avatar_definition]) ).
fof(f1575,plain,
( in(sK6(sK29(sK4,sK3)),sK4)
| ~ spl30_92 ),
inference(avatar_component_clause,[],[f1573]) ).
fof(f1576,plain,
( ~ spl30_18
| ~ spl30_88
| spl30_92
| ~ spl30_90
| ~ spl30_91
| ~ spl30_22 ),
inference(avatar_split_clause,[],[f1547,f710,f1568,f1564,f1573,f1556,f645]) ).
fof(f1577,plain,
( ~ in(sK29(sK4,sK3),sK3)
| ~ spl30_21
| spl30_89 ),
inference(superposition,[],[f1561,f699]) ).
fof(f1578,plain,
( ~ spl30_22
| ~ spl30_21
| spl30_89 ),
inference(avatar_split_clause,[],[f1577,f1560,f697,f710]) ).
fof(f1588,plain,
( ~ in(sK29(sK4,sK3),sK3)
| spl30_88 ),
inference(resolution,[],[f1558,f219]) ).
fof(f1591,plain,
( ~ spl30_22
| spl30_88 ),
inference(avatar_split_clause,[],[f1588,f1556,f710]) ).
fof(f1593,plain,
( ~ in(sK6(sK29(sK4,sK3)),sK3)
| spl30_90 ),
inference(resolution,[],[f1566,f221]) ).
fof(f1596,plain,
( ~ spl30_89
| spl30_90 ),
inference(avatar_split_clause,[],[f1593,f1564,f1560]) ).
fof(f1611,plain,
( ~ in(sK29(sK4,sK3),sK3)
| spl30_91 ),
inference(resolution,[],[f1570,f220]) ).
fof(f1612,plain,
( ~ spl30_22
| spl30_91 ),
inference(avatar_split_clause,[],[f1611,f1568,f710]) ).
fof(f1619,plain,
( in(sK29(sK4,sK3),sK4)
| ~ spl30_21
| ~ spl30_92 ),
inference(superposition,[],[f1575,f699]) ).
fof(f1620,plain,
( spl30_19
| ~ spl30_21
| ~ spl30_92 ),
inference(avatar_split_clause,[],[f1619,f1573,f697,f671]) ).
cnf(s15,plain,
( spl30_5
| spl30_7
| spl30_18 ),
inference(sat_conversion,[],[f648]) ).
cnf(s16,plain,
( spl30_7
| spl30_8
| spl30_18 ),
inference(sat_conversion,[],[f649]) ).
cnf(s17,plain,
( spl30_7
| spl30_9
| spl30_18 ),
inference(sat_conversion,[],[f650]) ).
cnf(s18,plain,
~ spl30_7,
inference(sat_conversion,[],[f668]) ).
cnf(s20,plain,
( spl30_7
| spl30_18
| spl30_19 ),
inference(sat_conversion,[],[f681]) ).
cnf(s21,plain,
( spl30_7
| spl30_19
| spl30_21 ),
inference(sat_conversion,[],[f700]) ).
cnf(s22,plain,
( spl30_5
| spl30_7
| spl30_21 ),
inference(sat_conversion,[],[f701]) ).
cnf(s23,plain,
( spl30_7
| ~ spl30_19
| ~ spl30_22 ),
inference(sat_conversion,[],[f713]) ).
cnf(s79,plain,
( ~ spl30_8
| ~ spl30_9
| ~ spl30_73
| spl30_74
| ~ spl30_75
| ~ spl30_76 ),
inference(sat_conversion,[],[f1374]) ).
cnf(s81,plain,
( spl30_7
| spl30_9
| spl30_21 ),
inference(sat_conversion,[],[f1380]) ).
cnf(s82,plain,
( spl30_9
| ~ spl30_19 ),
inference(sat_conversion,[],[f1381]) ).
cnf(s83,plain,
( spl30_7
| spl30_19
| spl30_22 ),
inference(sat_conversion,[],[f1382]) ).
cnf(s86,plain,
( ~ spl30_5
| ~ spl30_19
| spl30_77 ),
inference(sat_conversion,[],[f1399]) ).
cnf(s88,plain,
( spl30_5
| ~ spl30_19 ),
inference(sat_conversion,[],[f1401]) ).
cnf(s89,plain,
( ~ spl30_19
| spl30_73 ),
inference(sat_conversion,[],[f1410]) ).
cnf(s91,plain,
( spl30_75
| ~ spl30_77 ),
inference(sat_conversion,[],[f1416]) ).
cnf(s92,plain,
( ~ spl30_19
| spl30_76 ),
inference(sat_conversion,[],[f1421]) ).
cnf(s94,plain,
( spl30_8
| ~ spl30_19 ),
inference(sat_conversion,[],[f1423]) ).
cnf(s96,plain,
( ~ spl30_5
| spl30_22
| ~ spl30_74 ),
inference(sat_conversion,[],[f1451]) ).
cnf(s106,plain,
( ~ spl30_18
| ~ spl30_22
| ~ spl30_88
| ~ spl30_90
| ~ spl30_91
| spl30_92 ),
inference(sat_conversion,[],[f1576]) ).
cnf(s107,plain,
( ~ spl30_21
| ~ spl30_22
| spl30_89 ),
inference(sat_conversion,[],[f1578]) ).
cnf(s109,plain,
( ~ spl30_22
| spl30_88 ),
inference(sat_conversion,[],[f1591]) ).
cnf(s110,plain,
( ~ spl30_89
| spl30_90 ),
inference(sat_conversion,[],[f1596]) ).
cnf(s113,plain,
( ~ spl30_22
| spl30_91 ),
inference(sat_conversion,[],[f1612]) ).
cnf(s114,plain,
( spl30_19
| ~ spl30_21
| ~ spl30_92 ),
inference(sat_conversion,[],[f1620]) ).
cnf(s126,plain,
( spl30_9
| spl30_18 ),
inference(rat,[],[s17,s18]) ).
cnf(s127,plain,
( spl30_8
| spl30_18 ),
inference(rat,[],[s16,s18]) ).
cnf(s128,plain,
( spl30_5
| spl30_18 ),
inference(rat,[],[s15,s18]) ).
cnf(s135,plain,
spl30_5,
inference(rat,[],[s106,s110,s109,s113,s107,s114,s83,s128,s22,s88,s18]) ).
cnf(s136,plain,
spl30_8,
inference(rat,[],[s110,s106,s107,s114,s109,s113,s21,s83,s127,s94,s18]) ).
cnf(s137,plain,
spl30_9,
inference(rat,[],[s106,s110,s109,s113,s107,s114,s83,s126,s81,s82,s18]) ).
cnf(s138,plain,
( spl30_19
| ~ spl30_18 ),
inference(rat,[],[s110,s106,s107,s114,s109,s113,s21,s83,s18]) ).
cnf(s139,plain,
~ spl30_19,
inference(rat,[],[s79,s96,s91,s23,s86,s89,s92,s136,s137,s135,s18]) ).
cnf(s143,plain,
spl30_18,
inference(rat,[],[s20,s18,s139]) ).
cnf(s144,plain,
$false,
inference(rat,[],[s138,s143,s139]) ).
fof(f1621,plain,
$false,
inference(avatar_sat_refutation,[],[s144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU401+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n017.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 05:03:51 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 % (3216413)Will run a generic schedule for satisfiability detection.
% 0.19/0.51 % (3216423)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=699362947:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.51 % (3216419)% WARNING: option uhcvi not known.
% 0.19/0.51 % (3216418)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1449198012_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.51 % (3216419)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4018889530:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.51 % (3216420)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3642653826:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.51 % (3216421)dis+10_1_sil=32000:sp=arity:random_seed=4118481854:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.51 % (3216422)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=204260693:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.51 % (3216424)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2824160845:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.51 % TRYING [1]
% 0.19/0.51 % TRYING [2]
% 0.19/0.51 % TRYING [3]
% 0.19/0.51 % (3216424) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3216413-3216424"...
% 0.19/0.51 % (3216424)...printing done.
% 0.19/0.51 % (3216423)Instruction limit reached!
% 0.19/0.51 % (3216423)------------------------------
% 0.19/0.51 % (3216423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.51 % (3216423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.51 % (3216423)CaDiCaL version: 2.1.3
% 0.19/0.51 % (3216423)Termination reason: Instruction limit
% 0.19/0.51 % (3216423)Termination phase: Saturation
% 0.19/0.51 % (3216423)Time elapsed: 0.044 s
% 0.19/0.51 % (3216423)Peak memory usage: 14 MB
% 0.19/0.51 % (3216423)Instructions burned: 133 (million)
% 0.19/0.51 % (3216424)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (3216424)------------------------------
% 0.19/0.51 % (3216424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.51 % (3216424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.51 % (3216424)CaDiCaL version: 2.1.3
% 0.19/0.51 % (3216424)Termination reason: Refutation
% 0.19/0.51 % (3216424)Time elapsed: 0.034 s
% 0.19/0.51 % (3216424)Peak memory usage: 13 MB
% 0.19/0.51 % (3216424)Instructions burned: 49 (million)
% 0.19/0.51 % (3216413)Success in time 0.073 s
% 0.19/0.51 % Vampire exiting
%------------------------------------------------------------------------------