%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU384+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:48:39 PM UTC 2026
% Result : Theorem 15.81s 3.12s
% Output : Refutation 16.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 19
% Syntax : Number of formulae : 195 ( 25 unt; 13 def)
% Number of atoms : 816 ( 121 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 1029 ( 408 ~; 473 |; 113 &)
% ( 22 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 8 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-4 aty)
% Number of variables : 279 ( 0 sgn 253 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f92,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f167,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f197,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& net_str(X1,X0) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( ( strict_net_str(X3,X0)
& net_str(X3,X0) )
=> ( X3 = netstr_restr_to_element(X0,X1,X2)
<=> ( ! [X4] :
( in(X4,the_carrier(X3))
<=> ? [X5] :
( element(X5,the_carrier(X1))
& X5 = X4
& related(X1,X2,X5) ) )
& the_InternalRel(X3) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
& the_mapping(X0,X3) = partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_waybel_9) ).
fof(f290,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0)
& ~ empty_carrier(X1)
& net_str(X1,X0)
& element(X2,the_carrier(X1)) )
=> ( strict_net_str(netstr_restr_to_element(X0,X1,X2),X0)
& net_str(netstr_restr_to_element(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_waybel_9) ).
fof(f440,axiom,
! [X0,X1,X2,X3] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1)
& ~ empty_carrier(X2)
& net_str(X2,X1)
& element(X3,the_carrier(X2)) )
=> ( in(X0,a_3_0_waybel_9(X1,X2,X3))
<=> ? [X4] :
( element(X4,the_carrier(X2))
& X0 = X4
& related(X2,X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_3_0_waybel_9) ).
fof(f635,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& net_str(X1,X0) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> the_carrier(netstr_restr_to_element(X0,X1,X2)) = a_3_0_waybel_9(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_waybel_9) ).
fof(f636,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& net_str(X1,X0) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> the_carrier(netstr_restr_to_element(X0,X1,X2)) = a_3_0_waybel_9(X0,X1,X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f635]) ).
fof(f1162,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f167]) ).
fof(f1190,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = netstr_restr_to_element(X0,X1,X2)
<=> ( ! [X4] :
( in(X4,the_carrier(X3))
<=> ? [X5] :
( element(X5,the_carrier(X1))
& X5 = X4
& related(X1,X2,X5) ) )
& the_InternalRel(X3) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
& the_mapping(X0,X3) = partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3)) ) )
| ~ strict_net_str(X3,X0)
| ~ net_str(X3,X0) )
| ~ element(X2,the_carrier(X1)) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f197]) ).
fof(f1191,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = netstr_restr_to_element(X0,X1,X2)
<=> ( ! [X4] :
( in(X4,the_carrier(X3))
<=> ? [X5] :
( element(X5,the_carrier(X1))
& X5 = X4
& related(X1,X2,X5) ) )
& the_InternalRel(X3) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
& the_mapping(X0,X3) = partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3)) ) )
| ~ strict_net_str(X3,X0)
| ~ net_str(X3,X0) )
| ~ element(X2,the_carrier(X1)) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f1190]) ).
fof(f1294,plain,
! [X0,X1,X2] :
( ( strict_net_str(netstr_restr_to_element(X0,X1,X2),X0)
& net_str(netstr_restr_to_element(X0,X1,X2),X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ element(X2,the_carrier(X1)) ),
inference(ennf_transformation,[],[f290]) ).
fof(f1295,plain,
! [X0,X1,X2] :
( ( strict_net_str(netstr_restr_to_element(X0,X1,X2),X0)
& net_str(netstr_restr_to_element(X0,X1,X2),X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ element(X2,the_carrier(X1)) ),
inference(flattening,[],[f1294]) ).
fof(f1461,plain,
! [X0,X1,X2,X3] :
( ( in(X0,a_3_0_waybel_9(X1,X2,X3))
<=> ? [X4] :
( element(X4,the_carrier(X2))
& X0 = X4
& related(X2,X3,X4) ) )
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X2)) ),
inference(ennf_transformation,[],[f440]) ).
fof(f1462,plain,
! [X0,X1,X2,X3] :
( ( in(X0,a_3_0_waybel_9(X1,X2,X3))
<=> ? [X4] :
( element(X4,the_carrier(X2))
& X0 = X4
& related(X2,X3,X4) ) )
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X2)) ),
inference(flattening,[],[f1461]) ).
fof(f1676,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( the_carrier(netstr_restr_to_element(X0,X1,X2)) != a_3_0_waybel_9(X0,X1,X2)
& element(X2,the_carrier(X1)) )
& ~ empty_carrier(X1)
& net_str(X1,X0) )
& ~ empty_carrier(X0)
& one_sorted_str(X0) ),
inference(ennf_transformation,[],[f636]) ).
fof(f1677,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( the_carrier(netstr_restr_to_element(X0,X1,X2)) != a_3_0_waybel_9(X0,X1,X2)
& element(X2,the_carrier(X1)) )
& ~ empty_carrier(X1)
& net_str(X1,X0) )
& ~ empty_carrier(X0)
& one_sorted_str(X0) ),
inference(flattening,[],[f1676]) ).
fof(f1993,definition,
! [X1,X2,X3,X0] :
( sP15(X1,X2,X3,X0)
<=> ( ! [X4] :
( in(X4,the_carrier(X3))
<=> ? [X5] :
( element(X5,the_carrier(X1))
& X5 = X4
& related(X1,X2,X5) ) )
& the_InternalRel(X3) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
& the_mapping(X0,X3) = partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3)) ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f1994,definition,
! [X0,X3,X2,X1] :
( ( X3 = netstr_restr_to_element(X0,X1,X2)
<=> sP15(X1,X2,X3,X0) )
| ~ sP16(X0,X3,X2,X1) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f1995,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( sP16(X0,X3,X2,X1)
| ~ strict_net_str(X3,X0)
| ~ net_str(X3,X0) )
| ~ element(X2,the_carrier(X1)) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(definition_folding,[],[f1191,f1994,f1993]) ).
fof(f2105,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f2106,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f2105]) ).
fof(f2286,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f1162]) ).
fof(f2287,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f2286]) ).
fof(f2288,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK171(X0,X1),X1)
& in(sK171(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK171]),skolemize(X2,sK171(X0,X1))],[f2287]) ).
fof(f2346,plain,
! [X0,X3,X2,X1] :
( ( ( X3 = netstr_restr_to_element(X0,X1,X2)
| ~ sP15(X1,X2,X3,X0) )
& ( sP15(X1,X2,X3,X0)
| netstr_restr_to_element(X0,X1,X2) != X3 ) )
| ~ sP16(X0,X3,X2,X1) ),
inference(nnf_transformation,[],[f1994]) ).
fof(f2347,plain,
! [X0,X1,X2,X3] :
( ( ( netstr_restr_to_element(X0,X3,X2) = X1
| ~ sP15(X3,X2,X1,X0) )
& ( sP15(X3,X2,X1,X0)
| netstr_restr_to_element(X0,X3,X2) != X1 ) )
| ~ sP16(X0,X1,X2,X3) ),
inference(rectify,[],[f2346]) ).
fof(f2348,plain,
! [X1,X2,X3,X0] :
( ( sP15(X1,X2,X3,X0)
| ? [X4] :
( ( ! [X5] :
( ~ element(X5,the_carrier(X1))
| X4 != X5
| ~ related(X1,X2,X5) )
| ~ in(X4,the_carrier(X3)) )
& ( ? [X5] :
( element(X5,the_carrier(X1))
& X5 = X4
& related(X1,X2,X5) )
| in(X4,the_carrier(X3)) ) )
| the_InternalRel(X3) != relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
| the_mapping(X0,X3) != partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3)) )
& ( ( ! [X4] :
( ( in(X4,the_carrier(X3))
| ! [X5] :
( ~ element(X5,the_carrier(X1))
| X4 != X5
| ~ related(X1,X2,X5) ) )
& ( ? [X5] :
( element(X5,the_carrier(X1))
& X5 = X4
& related(X1,X2,X5) )
| ~ in(X4,the_carrier(X3)) ) )
& the_InternalRel(X3) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
& the_mapping(X0,X3) = partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3)) )
| ~ sP15(X1,X2,X3,X0) ) ),
inference(nnf_transformation,[],[f1993]) ).
fof(f2349,plain,
! [X1,X2,X3,X0] :
( ( sP15(X1,X2,X3,X0)
| ? [X4] :
( ( ! [X5] :
( ~ element(X5,the_carrier(X1))
| X4 != X5
| ~ related(X1,X2,X5) )
| ~ in(X4,the_carrier(X3)) )
& ( ? [X5] :
( element(X5,the_carrier(X1))
& X5 = X4
& related(X1,X2,X5) )
| in(X4,the_carrier(X3)) ) )
| the_InternalRel(X3) != relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
| the_mapping(X0,X3) != partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3)) )
& ( ( ! [X4] :
( ( in(X4,the_carrier(X3))
| ! [X5] :
( ~ element(X5,the_carrier(X1))
| X4 != X5
| ~ related(X1,X2,X5) ) )
& ( ? [X5] :
( element(X5,the_carrier(X1))
& X5 = X4
& related(X1,X2,X5) )
| ~ in(X4,the_carrier(X3)) ) )
& the_InternalRel(X3) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
& the_mapping(X0,X3) = partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3)) )
| ~ sP15(X1,X2,X3,X0) ) ),
inference(flattening,[],[f2348]) ).
fof(f2350,plain,
! [X0,X1,X2,X3] :
( ( sP15(X0,X1,X2,X3)
| ? [X4] :
( ( ! [X5] :
( ~ element(X5,the_carrier(X0))
| X4 != X5
| ~ related(X0,X1,X5) )
| ~ in(X4,the_carrier(X2)) )
& ( ? [X6] :
( element(X6,the_carrier(X0))
& X4 = X6
& related(X0,X1,X6) )
| in(X4,the_carrier(X2)) ) )
| the_InternalRel(X2) != relation_restriction_as_relation_of(the_InternalRel(X0),the_carrier(X2))
| the_mapping(X3,X2) != partfun_dom_restriction(the_carrier(X0),the_carrier(X3),the_mapping(X3,X0),the_carrier(X2)) )
& ( ( ! [X7] :
( ( in(X7,the_carrier(X2))
| ! [X8] :
( ~ element(X8,the_carrier(X0))
| X7 != X8
| ~ related(X0,X1,X8) ) )
& ( ? [X9] :
( element(X9,the_carrier(X0))
& X7 = X9
& related(X0,X1,X9) )
| ~ in(X7,the_carrier(X2)) ) )
& the_InternalRel(X2) = relation_restriction_as_relation_of(the_InternalRel(X0),the_carrier(X2))
& the_mapping(X3,X2) = partfun_dom_restriction(the_carrier(X0),the_carrier(X3),the_mapping(X3,X0),the_carrier(X2)) )
| ~ sP15(X0,X1,X2,X3) ) ),
inference(rectify,[],[f2349]) ).
fof(f2351,plain,
! [X0,X1,X2,X3] :
( ( sP15(X0,X1,X2,X3)
| ( ( ! [X5] :
( ~ element(X5,the_carrier(X0))
| sK200(X0,X1,X2) != X5
| ~ related(X0,X1,X5) )
| ~ in(sK200(X0,X1,X2),the_carrier(X2)) )
& ( ( element(sK201(X0,X1,X2),the_carrier(X0))
& sK200(X0,X1,X2) = sK201(X0,X1,X2)
& related(X0,X1,sK201(X0,X1,X2)) )
| in(sK200(X0,X1,X2),the_carrier(X2)) ) )
| the_InternalRel(X2) != relation_restriction_as_relation_of(the_InternalRel(X0),the_carrier(X2))
| the_mapping(X3,X2) != partfun_dom_restriction(the_carrier(X0),the_carrier(X3),the_mapping(X3,X0),the_carrier(X2)) )
& ( ( ! [X7] :
( ( in(X7,the_carrier(X2))
| ! [X8] :
( ~ element(X8,the_carrier(X0))
| X7 != X8
| ~ related(X0,X1,X8) ) )
& ( ( element(sK202(X0,X1,X7),the_carrier(X0))
& sK202(X0,X1,X7) = X7
& related(X0,X1,sK202(X0,X1,X7)) )
| ~ in(X7,the_carrier(X2)) ) )
& the_InternalRel(X2) = relation_restriction_as_relation_of(the_InternalRel(X0),the_carrier(X2))
& the_mapping(X3,X2) = partfun_dom_restriction(the_carrier(X0),the_carrier(X3),the_mapping(X3,X0),the_carrier(X2)) )
| ~ sP15(X0,X1,X2,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK200,sK201,sK202]),skolemize(X4,sK200(X0,X1,X2)),skolemize(X6,sK201(X0,X1,X2)),skolemize(X9,sK202(X0,X1,X7))],[f2350]) ).
fof(f2429,plain,
! [X0,X1,X2,X3] :
( ( ( in(X0,a_3_0_waybel_9(X1,X2,X3))
| ! [X4] :
( ~ element(X4,the_carrier(X2))
| X0 != X4
| ~ related(X2,X3,X4) ) )
& ( ? [X4] :
( element(X4,the_carrier(X2))
& X0 = X4
& related(X2,X3,X4) )
| ~ in(X0,a_3_0_waybel_9(X1,X2,X3)) ) )
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X2)) ),
inference(nnf_transformation,[],[f1462]) ).
fof(f2430,plain,
! [X0,X1,X2,X3] :
( ( ( in(X0,a_3_0_waybel_9(X1,X2,X3))
| ! [X4] :
( ~ element(X4,the_carrier(X2))
| X0 != X4
| ~ related(X2,X3,X4) ) )
& ( ? [X5] :
( element(X5,the_carrier(X2))
& X0 = X5
& related(X2,X3,X5) )
| ~ in(X0,a_3_0_waybel_9(X1,X2,X3)) ) )
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X2)) ),
inference(rectify,[],[f2429]) ).
fof(f2431,plain,
! [X0,X1,X2,X3] :
( ( ( in(X0,a_3_0_waybel_9(X1,X2,X3))
| ! [X4] :
( ~ element(X4,the_carrier(X2))
| X0 != X4
| ~ related(X2,X3,X4) ) )
& ( ( element(sK246(X0,X2,X3),the_carrier(X2))
& sK246(X0,X2,X3) = X0
& related(X2,X3,sK246(X0,X2,X3)) )
| ~ in(X0,a_3_0_waybel_9(X1,X2,X3)) ) )
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK246]),skolemize(X5,sK246(X0,X2,X3))],[f2430]) ).
fof(f2797,plain,
( the_carrier(netstr_restr_to_element(sK583,sK584,sK585)) != a_3_0_waybel_9(sK583,sK584,sK585)
& element(sK585,the_carrier(sK584))
& ~ empty_carrier(sK584)
& net_str(sK584,sK583)
& ~ empty_carrier(sK583)
& one_sorted_str(sK583) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK583,sK584,sK585]),skolemize(X0,sK583),skolemize(X1,sK584),skolemize(X2,sK585)],[f1677]) ).
fof(f3216,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f2106]) ).
fof(f3542,plain,
! [X0,X1] :
( in(sK171(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f2288]) ).
fof(f3543,plain,
! [X0,X1] :
( ~ in(sK171(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f2288]) ).
fof(f3655,plain,
! [X2,X3,X0,X1] :
( sP15(X3,X2,X1,X0)
| netstr_restr_to_element(X0,X3,X2) != X1
| ~ sP16(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f2347]) ).
fof(f3659,plain,
! [X2,X3,X0,X1,X7] :
( ~ sP15(X0,X1,X2,X3)
| ~ in(X7,the_carrier(X2))
| related(X0,X1,sK202(X0,X1,X7)) ),
inference(cnf_transformation,[],[f2351]) ).
fof(f3660,plain,
! [X2,X3,X0,X1,X7] :
( ~ sP15(X0,X1,X2,X3)
| ~ in(X7,the_carrier(X2))
| sK202(X0,X1,X7) = X7 ),
inference(cnf_transformation,[],[f2351]) ).
fof(f3661,plain,
! [X2,X3,X0,X1,X7] :
( ~ sP15(X0,X1,X2,X3)
| ~ in(X7,the_carrier(X2))
| element(sK202(X0,X1,X7),the_carrier(X0)) ),
inference(cnf_transformation,[],[f2351]) ).
fof(f3662,plain,
! [X2,X3,X0,X1,X8,X7] :
( in(X7,the_carrier(X2))
| ~ element(X8,the_carrier(X0))
| X7 != X8
| ~ related(X0,X1,X8)
| ~ sP15(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f2351]) ).
fof(f3667,plain,
! [X2,X3,X0,X1] :
( sP16(X0,X3,X2,X1)
| ~ strict_net_str(X3,X0)
| ~ net_str(X3,X0)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1995]) ).
fof(f3836,plain,
! [X2,X0,X1] :
( net_str(netstr_restr_to_element(X0,X1,X2),X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ element(X2,the_carrier(X1)) ),
inference(cnf_transformation,[],[f1295]) ).
fof(f3837,plain,
! [X2,X0,X1] :
( strict_net_str(netstr_restr_to_element(X0,X1,X2),X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ element(X2,the_carrier(X1)) ),
inference(cnf_transformation,[],[f1295]) ).
fof(f4279,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,a_3_0_waybel_9(X1,X2,X3))
| related(X2,X3,sK246(X0,X2,X3))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X2)) ),
inference(cnf_transformation,[],[f2431]) ).
fof(f4280,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,a_3_0_waybel_9(X1,X2,X3))
| sK246(X0,X2,X3) = X0
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X2)) ),
inference(cnf_transformation,[],[f2431]) ).
fof(f4281,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,a_3_0_waybel_9(X1,X2,X3))
| element(sK246(X0,X2,X3),the_carrier(X2))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X2)) ),
inference(cnf_transformation,[],[f2431]) ).
fof(f4282,plain,
! [X2,X3,X0,X1,X4] :
( in(X0,a_3_0_waybel_9(X1,X2,X3))
| ~ element(X4,the_carrier(X2))
| X0 != X4
| ~ related(X2,X3,X4)
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X2)) ),
inference(cnf_transformation,[],[f2431]) ).
fof(f5301,plain,
one_sorted_str(sK583),
inference(cnf_transformation,[],[f2797]) ).
fof(f5302,plain,
~ empty_carrier(sK583),
inference(cnf_transformation,[],[f2797]) ).
fof(f5303,plain,
net_str(sK584,sK583),
inference(cnf_transformation,[],[f2797]) ).
fof(f5304,plain,
~ empty_carrier(sK584),
inference(cnf_transformation,[],[f2797]) ).
fof(f5305,plain,
element(sK585,the_carrier(sK584)),
inference(cnf_transformation,[],[f2797]) ).
fof(f5306,plain,
the_carrier(netstr_restr_to_element(sK583,sK584,sK585)) != a_3_0_waybel_9(sK583,sK584,sK585),
inference(cnf_transformation,[],[f2797]) ).
fof(f6698,plain,
! [X2,X3,X0] :
( ~ sP16(X0,netstr_restr_to_element(X0,X3,X2),X2,X3)
| sP15(X3,X2,netstr_restr_to_element(X0,X3,X2),X0) ),
inference(equality_resolution,[],[f3655]) ).
fof(f6700,plain,
! [X2,X3,X0,X1,X8] :
( ~ sP15(X0,X1,X2,X3)
| ~ element(X8,the_carrier(X0))
| ~ related(X0,X1,X8)
| in(X8,the_carrier(X2)) ),
inference(equality_resolution,[],[f3662]) ).
fof(f6711,plain,
! [X2,X3,X1,X4] :
( in(X4,a_3_0_waybel_9(X1,X2,X3))
| ~ element(X4,the_carrier(X2))
| ~ related(X2,X3,X4)
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X2)) ),
inference(equality_resolution,[],[f4282]) ).
fof(f6860,definition,
sF626 = netstr_restr_to_element(sK583,sK584,sK585),
introduced(definition,[new_symbols(definition,[sF626])],[function_definition]) ).
fof(f6861,plain,
netstr_restr_to_element(sK583,sK584,sK585) = sF626,
inference(reorient_equations,[],[f6860]) ).
fof(f6862,definition,
sF627 = the_carrier(sF626),
introduced(definition,[new_symbols(definition,[sF627])],[function_definition]) ).
fof(f6863,plain,
the_carrier(sF626) = sF627,
inference(reorient_equations,[],[f6862]) ).
fof(f6864,definition,
sF628 = a_3_0_waybel_9(sK583,sK584,sK585),
introduced(definition,[new_symbols(definition,[sF628])],[function_definition]) ).
fof(f6865,plain,
a_3_0_waybel_9(sK583,sK584,sK585) = sF628,
inference(reorient_equations,[],[f6864]) ).
fof(f6866,plain,
sF627 != sF628,
inference(definition_folding,[],[f5306,f6865,f6863,f6861]) ).
fof(f6867,definition,
sF629 = the_carrier(sK584),
introduced(definition,[new_symbols(definition,[sF629])],[function_definition]) ).
fof(f6868,plain,
the_carrier(sK584) = sF629,
inference(reorient_equations,[],[f6867]) ).
fof(f6869,plain,
element(sK585,sF629),
inference(definition_folding,[],[f5305,f6868]) ).
fof(f7267,plain,
! [X0] :
( ~ in(X0,sF628)
| sK246(X0,sK584,sK585) = X0
| empty_carrier(sK583)
| ~ one_sorted_str(sK583)
| empty_carrier(sK584)
| ~ net_str(sK584,sK583)
| ~ element(sK585,the_carrier(sK584)) ),
inference(superposition,[],[f4280,f6865]) ).
fof(f7268,plain,
! [X0] :
( ~ in(X0,sF628)
| sK246(X0,sK584,sK585) = X0
| ~ one_sorted_str(sK583)
| empty_carrier(sK584)
| ~ net_str(sK584,sK583)
| ~ element(sK585,the_carrier(sK584)) ),
inference(forward_subsumption_resolution,[],[f7267,f5302]) ).
fof(f7269,plain,
! [X0] :
( ~ in(X0,sF628)
| sK246(X0,sK584,sK585) = X0
| empty_carrier(sK584)
| ~ net_str(sK584,sK583)
| ~ element(sK585,the_carrier(sK584)) ),
inference(forward_subsumption_resolution,[],[f7268,f5301]) ).
fof(f7270,plain,
! [X0] :
( ~ in(X0,sF628)
| sK246(X0,sK584,sK585) = X0
| ~ net_str(sK584,sK583)
| ~ element(sK585,the_carrier(sK584)) ),
inference(forward_subsumption_resolution,[],[f7269,f5304]) ).
fof(f7271,plain,
! [X0] :
( ~ in(X0,sF628)
| sK246(X0,sK584,sK585) = X0
| ~ element(sK585,the_carrier(sK584)) ),
inference(forward_subsumption_resolution,[],[f7270,f5303]) ).
fof(f7272,plain,
! [X0] :
( ~ element(sK585,sF629)
| ~ in(X0,sF628)
| sK246(X0,sK584,sK585) = X0 ),
inference(forward_demodulation,[],[f7271,f6868]) ).
fof(f7273,plain,
! [X0] :
( ~ in(X0,sF628)
| sK246(X0,sK584,sK585) = X0 ),
inference(forward_subsumption_resolution,[],[f7272,f6869]) ).
fof(f7295,plain,
! [X0] :
( ~ in(X0,sF628)
| element(sK246(X0,sK584,sK585),the_carrier(sK584))
| empty_carrier(sK583)
| ~ one_sorted_str(sK583)
| empty_carrier(sK584)
| ~ net_str(sK584,sK583)
| ~ element(sK585,the_carrier(sK584)) ),
inference(superposition,[],[f4281,f6865]) ).
fof(f7296,plain,
! [X0] :
( ~ in(X0,sF628)
| element(sK246(X0,sK584,sK585),the_carrier(sK584))
| ~ one_sorted_str(sK583)
| empty_carrier(sK584)
| ~ net_str(sK584,sK583)
| ~ element(sK585,the_carrier(sK584)) ),
inference(forward_subsumption_resolution,[],[f7295,f5302]) ).
fof(f7297,plain,
! [X0] :
( ~ in(X0,sF628)
| element(sK246(X0,sK584,sK585),the_carrier(sK584))
| empty_carrier(sK584)
| ~ net_str(sK584,sK583)
| ~ element(sK585,the_carrier(sK584)) ),
inference(forward_subsumption_resolution,[],[f7296,f5301]) ).
fof(f7298,plain,
! [X0] :
( ~ in(X0,sF628)
| element(sK246(X0,sK584,sK585),the_carrier(sK584))
| ~ net_str(sK584,sK583)
| ~ element(sK585,the_carrier(sK584)) ),
inference(forward_subsumption_resolution,[],[f7297,f5304]) ).
fof(f7299,plain,
! [X0] :
( ~ in(X0,sF628)
| element(sK246(X0,sK584,sK585),the_carrier(sK584))
| ~ element(sK585,the_carrier(sK584)) ),
inference(forward_subsumption_resolution,[],[f7298,f5303]) ).
fof(f7300,plain,
! [X0] :
( element(sK246(X0,sK584,sK585),sF629)
| ~ in(X0,sF628)
| ~ element(sK585,the_carrier(sK584)) ),
inference(forward_demodulation,[],[f7299,f6868]) ).
fof(f7301,plain,
! [X0] :
( ~ element(sK585,sF629)
| element(sK246(X0,sK584,sK585),sF629)
| ~ in(X0,sF628) ),
inference(forward_demodulation,[],[f7300,f6868]) ).
fof(f7302,plain,
! [X0] :
( element(sK246(X0,sK584,sK585),sF629)
| ~ in(X0,sF628) ),
inference(forward_subsumption_resolution,[],[f7301,f6869]) ).
fof(f7303,plain,
! [X0] :
( ~ in(X0,sF628)
| related(sK584,sK585,sK246(X0,sK584,sK585))
| empty_carrier(sK583)
| ~ one_sorted_str(sK583)
| empty_carrier(sK584)
| ~ net_str(sK584,sK583)
| ~ element(sK585,the_carrier(sK584)) ),
inference(superposition,[],[f4279,f6865]) ).
fof(f7304,plain,
! [X0] :
( ~ in(X0,sF628)
| related(sK584,sK585,sK246(X0,sK584,sK585))
| ~ one_sorted_str(sK583)
| empty_carrier(sK584)
| ~ net_str(sK584,sK583)
| ~ element(sK585,the_carrier(sK584)) ),
inference(forward_subsumption_resolution,[],[f7303,f5302]) ).
fof(f7305,plain,
! [X0] :
( ~ in(X0,sF628)
| related(sK584,sK585,sK246(X0,sK584,sK585))
| empty_carrier(sK584)
| ~ net_str(sK584,sK583)
| ~ element(sK585,the_carrier(sK584)) ),
inference(forward_subsumption_resolution,[],[f7304,f5301]) ).
fof(f7306,plain,
! [X0] :
( ~ in(X0,sF628)
| related(sK584,sK585,sK246(X0,sK584,sK585))
| ~ net_str(sK584,sK583)
| ~ element(sK585,the_carrier(sK584)) ),
inference(forward_subsumption_resolution,[],[f7305,f5304]) ).
fof(f7307,plain,
! [X0] :
( ~ in(X0,sF628)
| related(sK584,sK585,sK246(X0,sK584,sK585))
| ~ element(sK585,the_carrier(sK584)) ),
inference(forward_subsumption_resolution,[],[f7306,f5303]) ).
fof(f7308,plain,
! [X0] :
( ~ element(sK585,sF629)
| ~ in(X0,sF628)
| related(sK584,sK585,sK246(X0,sK584,sK585)) ),
inference(forward_demodulation,[],[f7307,f6868]) ).
fof(f7309,plain,
! [X0] :
( related(sK584,sK585,sK246(X0,sK584,sK585))
| ~ in(X0,sF628) ),
inference(forward_subsumption_resolution,[],[f7308,f6869]) ).
fof(f7313,plain,
! [X0] :
( in(X0,sF628)
| ~ element(X0,the_carrier(sK584))
| ~ related(sK584,sK585,X0)
| empty_carrier(sK583)
| ~ one_sorted_str(sK583)
| empty_carrier(sK584)
| ~ net_str(sK584,sK583)
| ~ element(sK585,the_carrier(sK584)) ),
inference(superposition,[],[f6711,f6865]) ).
fof(f7317,plain,
! [X0] :
( in(X0,sF628)
| ~ element(X0,the_carrier(sK584))
| ~ related(sK584,sK585,X0)
| ~ one_sorted_str(sK583)
| empty_carrier(sK584)
| ~ net_str(sK584,sK583)
| ~ element(sK585,the_carrier(sK584)) ),
inference(forward_subsumption_resolution,[],[f7313,f5302]) ).
fof(f7318,plain,
! [X0] :
( in(X0,sF628)
| ~ element(X0,the_carrier(sK584))
| ~ related(sK584,sK585,X0)
| empty_carrier(sK584)
| ~ net_str(sK584,sK583)
| ~ element(sK585,the_carrier(sK584)) ),
inference(forward_subsumption_resolution,[],[f7317,f5301]) ).
fof(f7319,plain,
! [X0] :
( in(X0,sF628)
| ~ element(X0,the_carrier(sK584))
| ~ related(sK584,sK585,X0)
| ~ net_str(sK584,sK583)
| ~ element(sK585,the_carrier(sK584)) ),
inference(forward_subsumption_resolution,[],[f7318,f5304]) ).
fof(f7320,plain,
! [X0] :
( in(X0,sF628)
| ~ element(X0,the_carrier(sK584))
| ~ related(sK584,sK585,X0)
| ~ element(sK585,the_carrier(sK584)) ),
inference(forward_subsumption_resolution,[],[f7319,f5303]) ).
fof(f7321,plain,
! [X0] :
( ~ element(X0,sF629)
| in(X0,sF628)
| ~ related(sK584,sK585,X0)
| ~ element(sK585,the_carrier(sK584)) ),
inference(forward_demodulation,[],[f7320,f6868]) ).
fof(f7322,plain,
! [X0] :
( ~ element(sK585,sF629)
| ~ element(X0,sF629)
| in(X0,sF628)
| ~ related(sK584,sK585,X0) ),
inference(forward_demodulation,[],[f7321,f6868]) ).
fof(f7323,plain,
! [X0] :
( ~ related(sK584,sK585,X0)
| in(X0,sF628)
| ~ element(X0,sF629) ),
inference(forward_subsumption_resolution,[],[f7322,f6869]) ).
fof(f7519,plain,
! [X2,X0,X1] :
( sP15(X0,X1,netstr_restr_to_element(X2,X0,X1),X2)
| ~ strict_net_str(netstr_restr_to_element(X2,X0,X1),X2)
| ~ net_str(netstr_restr_to_element(X2,X0,X1),X2)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ net_str(X0,X2)
| empty_carrier(X2)
| ~ one_sorted_str(X2) ),
inference(resolution,[],[f6698,f3667]) ).
fof(f7522,definition,
( spl630_74
<=> sP15(sK584,sK585,sF626,sK583) ),
introduced(definition,[new_symbols(definition,[spl630_74])],[avatar_definition]) ).
fof(f7524,plain,
( sP15(sK584,sK585,sF626,sK583)
| ~ spl630_74 ),
inference(avatar_component_clause,[],[f7522]) ).
fof(f7530,plain,
! [X2,X0,X1] :
( sP15(X0,X1,netstr_restr_to_element(X2,X0,X1),X2)
| ~ net_str(netstr_restr_to_element(X2,X0,X1),X2)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ net_str(X0,X2)
| empty_carrier(X2)
| ~ one_sorted_str(X2) ),
inference(forward_subsumption_resolution,[],[f7519,f3837]) ).
fof(f7531,plain,
! [X2,X0,X1] :
( sP15(X0,X1,netstr_restr_to_element(X2,X0,X1),X2)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ net_str(X0,X2)
| empty_carrier(X2)
| ~ one_sorted_str(X2) ),
inference(forward_subsumption_resolution,[],[f7530,f3836]) ).
fof(f7536,plain,
( sP15(sK584,sK585,sF626,sK583)
| ~ element(sK585,the_carrier(sK584))
| empty_carrier(sK584)
| ~ net_str(sK584,sK583)
| empty_carrier(sK583)
| ~ one_sorted_str(sK583) ),
inference(superposition,[],[f7531,f6861]) ).
fof(f7538,plain,
( sP15(sK584,sK585,sF626,sK583)
| ~ element(sK585,the_carrier(sK584))
| ~ net_str(sK584,sK583)
| empty_carrier(sK583)
| ~ one_sorted_str(sK583) ),
inference(forward_subsumption_resolution,[],[f7536,f5304]) ).
fof(f7539,plain,
( sP15(sK584,sK585,sF626,sK583)
| ~ element(sK585,the_carrier(sK584))
| empty_carrier(sK583)
| ~ one_sorted_str(sK583) ),
inference(forward_subsumption_resolution,[],[f7538,f5303]) ).
fof(f7540,plain,
( sP15(sK584,sK585,sF626,sK583)
| ~ element(sK585,the_carrier(sK584))
| ~ one_sorted_str(sK583) ),
inference(forward_subsumption_resolution,[],[f7539,f5302]) ).
fof(f7541,plain,
( sP15(sK584,sK585,sF626,sK583)
| ~ element(sK585,the_carrier(sK584)) ),
inference(forward_subsumption_resolution,[],[f7540,f5301]) ).
fof(f7542,plain,
( ~ element(sK585,sF629)
| sP15(sK584,sK585,sF626,sK583) ),
inference(forward_demodulation,[],[f7541,f6868]) ).
fof(f7543,plain,
sP15(sK584,sK585,sF626,sK583),
inference(forward_subsumption_resolution,[],[f7542,f6869]) ).
fof(f7544,plain,
spl630_74,
inference(avatar_split_clause,[],[f7543,f7522]) ).
fof(f7545,plain,
( ! [X0] :
( ~ in(X0,the_carrier(sF626))
| related(sK584,sK585,sK202(sK584,sK585,X0)) )
| ~ spl630_74 ),
inference(resolution,[],[f7524,f3659]) ).
fof(f7547,plain,
( ! [X0] :
( ~ in(X0,the_carrier(sF626))
| sK202(sK584,sK585,X0) = X0 )
| ~ spl630_74 ),
inference(resolution,[],[f7524,f3660]) ).
fof(f7548,plain,
( ! [X0] :
( ~ in(X0,the_carrier(sF626))
| element(sK202(sK584,sK585,X0),the_carrier(sK584)) )
| ~ spl630_74 ),
inference(resolution,[],[f7524,f3661]) ).
fof(f7549,plain,
( ! [X0] :
( ~ in(X0,sF627)
| element(sK202(sK584,sK585,X0),the_carrier(sK584)) )
| ~ spl630_74 ),
inference(forward_demodulation,[],[f7548,f6863]) ).
fof(f7550,plain,
( ! [X0] :
( ~ in(X0,sF627)
| sK202(sK584,sK585,X0) = X0 )
| ~ spl630_74 ),
inference(forward_demodulation,[],[f7547,f6863]) ).
fof(f7551,plain,
( ! [X0] :
( related(sK584,sK585,sK202(sK584,sK585,X0))
| ~ in(X0,sF627) )
| ~ spl630_74 ),
inference(forward_demodulation,[],[f7545,f6863]) ).
fof(f7552,plain,
( ! [X0] :
( element(sK202(sK584,sK585,X0),sF629)
| ~ in(X0,sF627) )
| ~ spl630_74 ),
inference(forward_demodulation,[],[f7549,f6868]) ).
fof(f7559,plain,
( ! [X0] :
( ~ in(X0,sF627)
| in(sK202(sK584,sK585,X0),sF628)
| ~ element(sK202(sK584,sK585,X0),sF629) )
| ~ spl630_74 ),
inference(resolution,[],[f7551,f7323]) ).
fof(f7561,plain,
( ! [X0] :
( in(sK202(sK584,sK585,X0),sF628)
| ~ in(X0,sF627) )
| ~ spl630_74 ),
inference(forward_subsumption_resolution,[],[f7559,f7552]) ).
fof(f7745,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK584))
| ~ related(sK584,sK585,X0)
| in(X0,the_carrier(sF626)) )
| ~ spl630_74 ),
inference(resolution,[],[f6700,f7524]) ).
fof(f7746,plain,
( ! [X0] :
( ~ element(X0,sF629)
| ~ related(sK584,sK585,X0)
| in(X0,the_carrier(sF626)) )
| ~ spl630_74 ),
inference(forward_demodulation,[],[f7745,f6868]) ).
fof(f7747,plain,
( ! [X0] :
( ~ related(sK584,sK585,X0)
| ~ element(X0,sF629)
| in(X0,sF627) )
| ~ spl630_74 ),
inference(forward_demodulation,[],[f7746,f6863]) ).
fof(f7748,plain,
( ! [X0] :
( ~ element(sK246(X0,sK584,sK585),sF629)
| in(sK246(X0,sK584,sK585),sF627)
| ~ in(X0,sF628) )
| ~ spl630_74 ),
inference(resolution,[],[f7747,f7309]) ).
fof(f7751,plain,
( ! [X0] :
( in(sK246(X0,sK584,sK585),sF627)
| ~ in(X0,sF628) )
| ~ spl630_74 ),
inference(forward_subsumption_resolution,[],[f7748,f7302]) ).
fof(f7847,plain,
( ! [X0] :
( subset(sF627,X0)
| sK171(sF627,X0) = sK202(sK584,sK585,sK171(sF627,X0)) )
| ~ spl630_74 ),
inference(resolution,[],[f3542,f7550]) ).
fof(f7849,plain,
! [X0] :
( subset(sF628,X0)
| sK171(sF628,X0) = sK246(sK171(sF628,X0),sK584,sK585) ),
inference(resolution,[],[f3542,f7273]) ).
fof(f7852,plain,
! [X0] :
( ~ subset(X0,sF628)
| sK171(sF628,X0) = sK246(sK171(sF628,X0),sK584,sK585)
| sF628 = X0 ),
inference(resolution,[],[f7849,f3216]) ).
fof(f8327,plain,
( sK171(sF628,sF627) = sK246(sK171(sF628,sF627),sK584,sK585)
| sF627 = sF628
| sK171(sF627,sF628) = sK202(sK584,sK585,sK171(sF627,sF628))
| ~ spl630_74 ),
inference(resolution,[],[f7852,f7847]) ).
fof(f8329,plain,
( sK171(sF628,sF627) = sK246(sK171(sF628,sF627),sK584,sK585)
| sK171(sF627,sF628) = sK202(sK584,sK585,sK171(sF627,sF628))
| ~ spl630_74 ),
inference(forward_subsumption_resolution,[],[f8327,f6866]) ).
fof(f8331,definition,
( spl630_92
<=> sK171(sF627,sF628) = sK202(sK584,sK585,sK171(sF627,sF628)) ),
introduced(definition,[new_symbols(definition,[spl630_92])],[avatar_definition]) ).
fof(f8332,plain,
( sK171(sF627,sF628) != sK202(sK584,sK585,sK171(sF627,sF628))
| spl630_92 ),
inference(avatar_component_clause,[],[f8331]) ).
fof(f8333,plain,
( sK171(sF627,sF628) = sK202(sK584,sK585,sK171(sF627,sF628))
| ~ spl630_92 ),
inference(avatar_component_clause,[],[f8331]) ).
fof(f8335,definition,
( spl630_93
<=> sK171(sF628,sF627) = sK246(sK171(sF628,sF627),sK584,sK585) ),
introduced(definition,[new_symbols(definition,[spl630_93])],[avatar_definition]) ).
fof(f8336,plain,
( sK171(sF628,sF627) != sK246(sK171(sF628,sF627),sK584,sK585)
| spl630_93 ),
inference(avatar_component_clause,[],[f8335]) ).
fof(f8337,plain,
( sK171(sF628,sF627) = sK246(sK171(sF628,sF627),sK584,sK585)
| ~ spl630_93 ),
inference(avatar_component_clause,[],[f8335]) ).
fof(f8338,plain,
( spl630_92
| spl630_93
| ~ spl630_74 ),
inference(avatar_split_clause,[],[f8329,f7522,f8335,f8331]) ).
fof(f8342,plain,
( in(sK171(sF627,sF628),sF628)
| ~ in(sK171(sF627,sF628),sF627)
| ~ spl630_74
| ~ spl630_92 ),
inference(superposition,[],[f7561,f8333]) ).
fof(f8345,definition,
( spl630_94
<=> in(sK171(sF627,sF628),sF627) ),
introduced(definition,[new_symbols(definition,[spl630_94])],[avatar_definition]) ).
fof(f8346,plain,
( in(sK171(sF627,sF628),sF627)
| ~ spl630_94 ),
inference(avatar_component_clause,[],[f8345]) ).
fof(f8347,plain,
( ~ in(sK171(sF627,sF628),sF627)
| spl630_94 ),
inference(avatar_component_clause,[],[f8345]) ).
fof(f8354,definition,
( spl630_96
<=> in(sK171(sF627,sF628),sF628) ),
introduced(definition,[new_symbols(definition,[spl630_96])],[avatar_definition]) ).
fof(f8356,plain,
( in(sK171(sF627,sF628),sF628)
| ~ spl630_96 ),
inference(avatar_component_clause,[],[f8354]) ).
fof(f8357,plain,
( ~ spl630_94
| spl630_96
| ~ spl630_74
| ~ spl630_92 ),
inference(avatar_split_clause,[],[f8342,f8331,f7522,f8354,f8345]) ).
fof(f8368,plain,
( subset(sF627,sF628)
| spl630_94 ),
inference(resolution,[],[f8347,f3542]) ).
fof(f8369,plain,
( sK171(sF628,sF627) = sK246(sK171(sF628,sF627),sK584,sK585)
| sF627 = sF628
| spl630_94 ),
inference(resolution,[],[f8368,f7852]) ).
fof(f8371,plain,
( ~ subset(sF628,sF627)
| sF627 = sF628
| spl630_94 ),
inference(resolution,[],[f8368,f3216]) ).
fof(f8372,plain,
( ~ subset(sF628,sF627)
| spl630_94 ),
inference(forward_subsumption_resolution,[],[f8371,f6866]) ).
fof(f8373,plain,
( sK171(sF628,sF627) = sK246(sK171(sF628,sF627),sK584,sK585)
| spl630_94 ),
inference(forward_subsumption_resolution,[],[f8369,f6866]) ).
fof(f8374,plain,
( spl630_93
| spl630_94 ),
inference(avatar_split_clause,[],[f8373,f8345,f8335]) ).
fof(f8376,plain,
( in(sK171(sF628,sF627),sF627)
| ~ in(sK171(sF628,sF627),sF628)
| ~ spl630_74
| ~ spl630_93 ),
inference(superposition,[],[f7751,f8337]) ).
fof(f8382,definition,
( spl630_99
<=> in(sK171(sF628,sF627),sF628) ),
introduced(definition,[new_symbols(definition,[spl630_99])],[avatar_definition]) ).
fof(f8384,plain,
( ~ in(sK171(sF628,sF627),sF628)
| spl630_99 ),
inference(avatar_component_clause,[],[f8382]) ).
fof(f8401,definition,
( spl630_103
<=> in(sK171(sF628,sF627),sF627) ),
introduced(definition,[new_symbols(definition,[spl630_103])],[avatar_definition]) ).
fof(f8403,plain,
( in(sK171(sF628,sF627),sF627)
| ~ spl630_103 ),
inference(avatar_component_clause,[],[f8401]) ).
fof(f8404,plain,
( ~ spl630_99
| spl630_103
| ~ spl630_74
| ~ spl630_93 ),
inference(avatar_split_clause,[],[f8376,f8335,f7522,f8401,f8382]) ).
fof(f8405,plain,
( subset(sF628,sF627)
| spl630_99 ),
inference(resolution,[],[f8384,f3542]) ).
fof(f8406,plain,
( $false
| spl630_94
| spl630_99 ),
inference(forward_subsumption_resolution,[],[f8405,f8372]) ).
fof(f8407,plain,
( spl630_94
| spl630_99 ),
inference(avatar_contradiction_clause,[],[f8406]) ).
fof(f8410,plain,
( sK171(sF627,sF628) = sK202(sK584,sK585,sK171(sF627,sF628))
| ~ spl630_74
| ~ spl630_94 ),
inference(resolution,[],[f8346,f7550]) ).
fof(f8413,plain,
( $false
| ~ spl630_74
| spl630_92
| ~ spl630_94 ),
inference(forward_subsumption_resolution,[],[f8410,f8332]) ).
fof(f8414,plain,
( ~ spl630_74
| spl630_92
| ~ spl630_94 ),
inference(avatar_contradiction_clause,[],[f8413]) ).
fof(f8418,plain,
( subset(sF627,sF628)
| ~ spl630_96 ),
inference(resolution,[],[f8356,f3543]) ).
fof(f8453,plain,
( sK171(sF628,sF627) = sK246(sK171(sF628,sF627),sK584,sK585)
| sF627 = sF628
| ~ spl630_96 ),
inference(resolution,[],[f8418,f7852]) ).
fof(f8455,plain,
( ~ subset(sF628,sF627)
| sF627 = sF628
| ~ spl630_96 ),
inference(resolution,[],[f8418,f3216]) ).
fof(f8456,plain,
( sF627 = sF628
| ~ spl630_96
| spl630_99 ),
inference(forward_subsumption_resolution,[],[f8455,f8405]) ).
fof(f8457,plain,
( $false
| ~ spl630_96
| spl630_99 ),
inference(forward_subsumption_resolution,[],[f8456,f6866]) ).
fof(f8458,plain,
( ~ spl630_96
| spl630_99 ),
inference(avatar_contradiction_clause,[],[f8457]) ).
fof(f8459,plain,
( ~ subset(sF628,sF627)
| ~ spl630_96 ),
inference(forward_subsumption_resolution,[],[f8455,f6866]) ).
fof(f8460,plain,
( sF627 = sF628
| spl630_93
| ~ spl630_96 ),
inference(forward_subsumption_resolution,[],[f8453,f8336]) ).
fof(f8461,plain,
( $false
| spl630_93
| ~ spl630_96 ),
inference(forward_subsumption_resolution,[],[f8460,f6866]) ).
fof(f8462,plain,
( spl630_93
| ~ spl630_96 ),
inference(avatar_contradiction_clause,[],[f8461]) ).
fof(f8466,plain,
( subset(sF628,sF627)
| ~ spl630_103 ),
inference(resolution,[],[f8403,f3543]) ).
fof(f8474,plain,
( $false
| ~ spl630_96
| ~ spl630_103 ),
inference(forward_subsumption_resolution,[],[f8466,f8459]) ).
fof(f8475,plain,
( ~ spl630_96
| ~ spl630_103 ),
inference(avatar_contradiction_clause,[],[f8474]) ).
fof(f8477,plain,
( $false
| spl630_94
| ~ spl630_103 ),
inference(forward_subsumption_resolution,[],[f8466,f8372]) ).
fof(f8478,plain,
( spl630_94
| ~ spl630_103 ),
inference(avatar_contradiction_clause,[],[f8477]) ).
cnf(s62,plain,
spl630_74,
inference(sat_conversion,[],[f7544]) ).
cnf(s74,plain,
( ~ spl630_74
| spl630_92
| spl630_93 ),
inference(sat_conversion,[],[f8338]) ).
cnf(s76,plain,
( ~ spl630_74
| ~ spl630_92
| ~ spl630_94
| spl630_96 ),
inference(sat_conversion,[],[f8357]) ).
cnf(s79,plain,
( spl630_93
| spl630_94 ),
inference(sat_conversion,[],[f8374]) ).
cnf(s83,plain,
( ~ spl630_74
| ~ spl630_93
| ~ spl630_99
| spl630_103 ),
inference(sat_conversion,[],[f8404]) ).
cnf(s84,plain,
( spl630_94
| spl630_99 ),
inference(sat_conversion,[],[f8407]) ).
cnf(s85,plain,
( ~ spl630_74
| spl630_92
| ~ spl630_94 ),
inference(sat_conversion,[],[f8414]) ).
cnf(s86,plain,
( ~ spl630_96
| spl630_99 ),
inference(sat_conversion,[],[f8458]) ).
cnf(s87,plain,
( spl630_93
| ~ spl630_96 ),
inference(sat_conversion,[],[f8462]) ).
cnf(s88,plain,
( ~ spl630_96
| ~ spl630_103 ),
inference(sat_conversion,[],[f8475]) ).
cnf(s89,plain,
( spl630_94
| ~ spl630_103 ),
inference(sat_conversion,[],[f8478]) ).
cnf(s96,plain,
spl630_92,
inference(rat,[],[s83,s84,s89,s74,s85,s62]) ).
cnf(s97,plain,
( spl630_94
| ~ spl630_93 ),
inference(rat,[],[s83,s84,s89,s62]) ).
cnf(s98,plain,
~ spl630_93,
inference(rat,[],[s83,s86,s88,s76,s97,s62,s96]) ).
cnf(s99,plain,
~ spl630_96,
inference(rat,[],[s87,s98]) ).
cnf(s100,plain,
spl630_94,
inference(rat,[],[s79,s98]) ).
cnf(s101,plain,
$false,
inference(rat,[],[s76,s96,s62,s99,s100]) ).
fof(f8484,plain,
$false,
inference(avatar_sat_refutation,[],[s101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU384+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n011.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 05:02:16 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.98/2.65 % (3029530)Detected formulas, will run a generic FOF schedule.
% 11.98/2.65 % (3029539)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1092681024:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.98/2.65 % (3029537)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4285485741:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.98/2.65 % (3029539)Instruction limit reached!
% 11.98/2.65 % (3029539)------------------------------
% 11.98/2.65 % (3029539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/2.65 % (3029539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.65 % (3029539)CaDiCaL version: 2.1.3
% 11.98/2.65 % (3029539)Termination reason: Instruction limit
% 11.98/2.65 % (3029539)Termination phase: Saturation
% 11.98/2.65 % (3029539)Time elapsed: 0.042 s
% 11.98/2.65 % (3029539)Peak memory usage: 92 MB
% 11.98/2.65 % (3029539)Instructions burned: 121 (million)
% 11.98/2.65 % (3029535)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3286104361:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.98/2.65 % (3029536)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=715122229:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.98/2.65 % (3029538)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=80664:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.98/2.65 % (3029540)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3539893114:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.98/2.65 % (3029541)dis-21_1_sil=8000:lcm=predicate:random_seed=3786555244:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.98/2.65 % (3029540)Instruction limit reached!
% 11.98/2.65 % (3029540)------------------------------
% 11.98/2.65 % (3029540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/2.65 % (3029540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.65 % (3029540)CaDiCaL version: 2.1.3
% 11.98/2.65 % (3029540)Termination reason: Instruction limit
% 11.98/2.65 % (3029540)Termination phase: Saturation
% 11.98/2.65 % (3029540)Time elapsed: 0.043 s
% 11.98/2.65 % (3029540)Peak memory usage: 92 MB
% 11.98/2.65 % (3029540)Instructions burned: 140 (million)
% 11.98/2.65 % (3029538)Instruction limit reached!
% 11.98/2.65 % (3029538)------------------------------
% 11.98/2.65 % (3029538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/2.65 % (3029538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.65 % (3029538)CaDiCaL version: 2.1.3
% 11.98/2.65 % (3029538)Termination reason: Instruction limit
% 11.98/2.65 % (3029538)Termination phase: Blocked clause elimination
% 11.98/2.65 % (3029538)Time elapsed: 0.062 s
% 11.98/2.65 % (3029538)Peak memory usage: 90 MB
% 11.98/2.65 % (3029538)Instructions burned: 109 (million)
% 11.98/2.65 % (3029541)Instruction limit reached!
% 11.98/2.65 % (3029541)------------------------------
% 11.98/2.65 % (3029541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/2.65 % (3029541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.65 % (3029541)CaDiCaL version: 2.1.3
% 11.98/2.65 % (3029541)Termination reason: Instruction limit
% 11.98/2.65 % (3029541)Termination phase: Saturation
% 11.98/2.65 % (3029541)Time elapsed: 0.070 s
% 11.98/2.65 % (3029541)Peak memory usage: 92 MB
% 11.98/2.65 % (3029541)Instructions burned: 130 (million)
% 11.98/2.65 % (3029550)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3195951633:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.98/2.65 % (3029547)lrs+10_1_sil=8000:sp=occurrence:random_seed=3372264425:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.98/2.65 % (3029550)Instruction limit reached!
% 11.98/2.65 % (3029550)------------------------------
% 11.98/2.65 % (3029550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/2.65 % (3029550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.65 % (3029550)CaDiCaL version: 2.1.3
% 11.98/2.65 % (3029550)Termination reason: Instruction limit
% 15.81/3.12 % (3029550)Termination phase: Saturation
% 15.81/3.12 % (3029550)Time elapsed: 0.046 s
% 15.81/3.12 % (3029550)Peak memory usage: 91 MB
% 15.81/3.12 % (3029550)Instructions burned: 159 (million)
% 15.81/3.12 % (3029551)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2984879960:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 15.81/3.12 % (3029552)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=174791914:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 15.81/3.12 % (3029555)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1120878456:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 15.81/3.12 % (3029547)Instruction limit reached!
% 15.81/3.12 % (3029547)------------------------------
% 15.81/3.12 % (3029547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.12 % (3029547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.12 % (3029547)CaDiCaL version: 2.1.3
% 15.81/3.12 % (3029547)Termination reason: Instruction limit
% 15.81/3.12 % (3029547)Termination phase: Saturation
% 15.81/3.12 % (3029547)Time elapsed: 0.176 s
% 15.81/3.12 % (3029547)Peak memory usage: 95 MB
% 15.81/3.12 % (3029547)Instructions burned: 285 (million)
% 15.81/3.12 % (3029555)Instruction limit reached!
% 15.81/3.12 % (3029555)------------------------------
% 15.81/3.12 % (3029555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.12 % (3029555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.12 % (3029555)CaDiCaL version: 2.1.3
% 15.81/3.12 % (3029555)Termination reason: Instruction limit
% 15.81/3.12 % (3029555)Termination phase: Saturation
% 15.81/3.12 % (3029555)Time elapsed: 0.093 s
% 15.81/3.12 % (3029555)Peak memory usage: 94 MB
% 15.81/3.12 % (3029555)Instructions burned: 296 (million)
% 15.81/3.12 % (3029552)Instruction limit reached!
% 15.81/3.12 % (3029552)------------------------------
% 15.81/3.12 % (3029552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.12 % (3029552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.12 % (3029552)CaDiCaL version: 2.1.3
% 15.81/3.12 % (3029552)Termination reason: Instruction limit
% 15.81/3.12 % (3029552)Termination phase: Saturation
% 15.81/3.12 % (3029552)Time elapsed: 0.153 s
% 15.81/3.12 % (3029552)Peak memory usage: 95 MB
% 15.81/3.12 % (3029552)Instructions burned: 249 (million)
% 15.81/3.12 % (3029551)Instruction limit reached!
% 15.81/3.12 % (3029551)------------------------------
% 15.81/3.12 % (3029551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.12 % (3029551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.12 % (3029551)CaDiCaL version: 2.1.3
% 15.81/3.12 % (3029551)Termination reason: Instruction limit
% 15.81/3.12 % (3029551)Termination phase: Saturation
% 15.81/3.12 % (3029551)Time elapsed: 0.210 s
% 15.81/3.12 % (3029551)Peak memory usage: 96 MB
% 15.81/3.12 % (3029551)Instructions burned: 325 (million)
% 15.81/3.12 % (3029560)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=720034702:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 15.81/3.12 % (3029559)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=988452064:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 15.81/3.12 % (3029560)Instruction limit reached!
% 15.81/3.12 % (3029560)------------------------------
% 15.81/3.12 % (3029560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.12 % (3029560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.12 % (3029560)CaDiCaL version: 2.1.3
% 15.81/3.12 % (3029560)Termination reason: Instruction limit
% 15.81/3.12 % (3029560)Termination phase: Saturation
% 15.81/3.12 % (3029560)Time elapsed: 0.034 s
% 15.81/3.12 % (3029560)Peak memory usage: 92 MB
% 15.81/3.12 % (3029560)Instructions burned: 113 (million)
% 15.81/3.12 % (3029561)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1302541086:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 15.81/3.12 % (3029562)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4149140539:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 15.81/3.12 % (3029565)lrs+10_1_sil=8000:sp=occurrence:random_seed=2832850972:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 15.81/3.12 % (3029561)Instruction limit reached!
% 15.81/3.12 % (3029561)------------------------------
% 15.81/3.12 % (3029561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.12 % (3029561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.12 % (3029561)CaDiCaL version: 2.1.3
% 15.81/3.12 % (3029561)Termination reason: Instruction limit
% 15.81/3.12 % (3029561)Termination phase: Blocked clause elimination
% 15.81/3.12 % (3029561)Time elapsed: 0.073 s
% 15.81/3.12 % (3029561)Peak memory usage: 91 MB
% 15.81/3.12 % (3029561)Instructions burned: 127 (million)
% 15.81/3.12 % (3029562)Instruction limit reached!
% 15.81/3.12 % (3029562)------------------------------
% 15.81/3.12 % (3029562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.12 % (3029562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.12 % (3029562)CaDiCaL version: 2.1.3
% 15.81/3.12 % (3029562)Termination reason: Instruction limit
% 15.81/3.12 % (3029562)Termination phase: Saturation
% 15.81/3.12 % (3029562)Time elapsed: 0.065 s
% 15.81/3.12 % (3029562)Peak memory usage: 90 MB
% 15.81/3.12 % (3029562)Instructions burned: 114 (million)
% 15.81/3.12 % (3029569)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2220714709:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 15.81/3.12 % (3029570)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=184670524:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 15.81/3.12 % (3029565)Instruction limit reached!
% 15.81/3.12 % (3029565)------------------------------
% 15.81/3.12 % (3029565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.12 % (3029565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.12 % (3029565)CaDiCaL version: 2.1.3
% 15.81/3.12 % (3029565)Termination reason: Instruction limit
% 15.81/3.12 % (3029565)Termination phase: Saturation
% 15.81/3.12 % (3029565)Time elapsed: 0.321 s
% 15.81/3.12 % (3029565)Peak memory usage: 105 MB
% 15.81/3.12 % (3029565)Instructions burned: 908 (million)
% 15.81/3.12 % (3029573)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1633254724:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 15.81/3.12 % (3029569)Instruction limit reached!
% 15.81/3.12 % (3029569)------------------------------
% 15.81/3.12 % (3029569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.12 % (3029569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.12 % (3029569)CaDiCaL version: 2.1.3
% 15.81/3.12 % (3029569)Termination reason: Instruction limit
% 15.81/3.12 % (3029569)Termination phase: Saturation
% 15.81/3.12 % (3029569)Time elapsed: 0.266 s
% 15.81/3.12 % (3029569)Peak memory usage: 96 MB
% 15.81/3.12 % (3029569)Instructions burned: 437 (million)
% 15.81/3.12 % (3029573)Instruction limit reached!
% 15.81/3.12 % (3029573)------------------------------
% 15.81/3.12 % (3029573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.12 % (3029573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.12 % (3029573)CaDiCaL version: 2.1.3
% 15.81/3.12 % (3029573)Termination reason: Instruction limit
% 15.81/3.12 % (3029573)Termination phase: Property scanning
% 15.81/3.12 % (3029573)Time elapsed: 0.036 s
% 15.81/3.12 % (3029573)Peak memory usage: 90 MB
% 15.81/3.12 % (3029573)Instructions burned: 135 (million)
% 15.81/3.12 % (3029576)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1254004958:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 15.81/3.12 % (3029575)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4158581914:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 15.81/3.12 % (3029575)Instruction limit reached!
% 15.81/3.12 % (3029575)------------------------------
% 15.81/3.12 % (3029575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.12 % (3029575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.12 % (3029575)CaDiCaL version: 2.1.3
% 15.81/3.12 % (3029575)Termination reason: Instruction limit
% 15.81/3.12 % (3029575)Termination phase: Saturation
% 15.81/3.12 % (3029575)Time elapsed: 0.362 s
% 15.81/3.12 % (3029575)Peak memory usage: 102 MB
% 15.81/3.12 % (3029575)Instructions burned: 592 (million)
% 15.81/3.12 % (3029579)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3532410008:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 15.81/3.12 % (3029579)Instruction limit reached!
% 15.81/3.12 % (3029579)------------------------------
% 15.81/3.12 % (3029579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.12 % (3029579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.12 % (3029579)CaDiCaL version: 2.1.3
% 15.81/3.12 % (3029579)Termination reason: Instruction limit
% 15.81/3.12 % (3029579)Termination phase: Saturation
% 15.81/3.12 % (3029579)Time elapsed: 0.075 s
% 15.81/3.12 % (3029579)Peak memory usage: 92 MB
% 15.81/3.12 % (3029579)Instructions burned: 126 (million)
% 15.81/3.12 % (3029559)First to succeed.
% 15.81/3.12 % (3029581)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=802141865:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 15.81/3.12 % (3029559)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3029530"
% 15.81/3.12 % (3029581)Instruction limit reached!
% 15.81/3.12 % (3029581)------------------------------
% 15.81/3.12 % (3029581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.12 % (3029581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.12 % (3029581)CaDiCaL version: 2.1.3
% 15.81/3.12 % (3029581)Termination reason: Instruction limit
% 15.81/3.12 % (3029581)Termination phase: Saturation
% 15.81/3.12 % (3029581)Time elapsed: 0.069 s
% 15.81/3.12 % (3029581)Peak memory usage: 92 MB
% 15.81/3.12 % (3029581)Instructions burned: 134 (million)
% 15.81/3.12 % (3029583)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2097991206:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 15.81/3.12 % (3029559)Refutation found. Thanks to Tanya!
% 15.81/3.12 % SZS status Theorem for theBenchmark
% 15.81/3.12 % SZS output start Proof for theBenchmark
% See solution above
% 16.46/3.31 % (3029559)------------------------------
% 16.46/3.31 % (3029559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.31 % (3029559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.31 % (3029559)CaDiCaL version: 2.1.3
% 16.46/3.31 % (3029559)Termination reason: Refutation
% 16.46/3.31 % (3029559)Time elapsed: 1.366 s
% 16.46/3.31 % (3029559)Peak memory usage: 170 MB
% 16.46/3.31 % (3029559)Instructions burned: 2180 (million)
% 16.46/3.31 % (3029559)------------------------------
% 16.46/3.31 % (3029559)------------------------------
% 16.46/3.31 % (3029530)Success in time 2.27 s
% 16.46/3.31 % Vampire exiting
%------------------------------------------------------------------------------