%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU384+1 : 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 : n016.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 7.55s 2.06s
% Output : Refutation 9.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 19
% Syntax : Number of formulae : 197 ( 25 unt; 13 def)
% Number of atoms : 824 ( 123 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 1040 ( 413 ~; 479 |; 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 : 280 ( 0 sgn 254 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f14,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f15,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(f23,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(f47,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(f65,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(f66,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)],[f65]) ).
fof(f97,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f98,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,[],[f15]) ).
fof(f99,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,[],[f98]) ).
fof(f106,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,[],[f23]) ).
fof(f107,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,[],[f106]) ).
fof(f126,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,[],[f47]) ).
fof(f127,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,[],[f126]) ).
fof(f138,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,[],[f66]) ).
fof(f139,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,[],[f138]) ).
fof(f150,definition,
! [X1,X2,X3,X0] :
( sP0(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,[sP0])],[predicate_definition_introduction]) ).
fof(f151,definition,
! [X0,X3,X2,X1] :
( ( X3 = netstr_restr_to_element(X0,X1,X2)
<=> sP0(X1,X2,X3,X0) )
| ~ sP1(X0,X3,X2,X1) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( sP1(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,[],[f99,f151,f150]) ).
fof(f153,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f154,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f153]) ).
fof(f155,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,[],[f97]) ).
fof(f156,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,[],[f155]) ).
fof(f157,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK2(X0,X1),X1)
& in(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f156]) ).
fof(f158,plain,
! [X0,X3,X2,X1] :
( ( ( X3 = netstr_restr_to_element(X0,X1,X2)
| ~ sP0(X1,X2,X3,X0) )
& ( sP0(X1,X2,X3,X0)
| netstr_restr_to_element(X0,X1,X2) != X3 ) )
| ~ sP1(X0,X3,X2,X1) ),
inference(nnf_transformation,[],[f151]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( ( ( netstr_restr_to_element(X0,X3,X2) = X1
| ~ sP0(X3,X2,X1,X0) )
& ( sP0(X3,X2,X1,X0)
| netstr_restr_to_element(X0,X3,X2) != X1 ) )
| ~ sP1(X0,X1,X2,X3) ),
inference(rectify,[],[f158]) ).
fof(f160,plain,
! [X1,X2,X3,X0] :
( ( sP0(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)) )
| ~ sP0(X1,X2,X3,X0) ) ),
inference(nnf_transformation,[],[f150]) ).
fof(f161,plain,
! [X1,X2,X3,X0] :
( ( sP0(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)) )
| ~ sP0(X1,X2,X3,X0) ) ),
inference(flattening,[],[f160]) ).
fof(f162,plain,
! [X0,X1,X2,X3] :
( ( sP0(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)) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(rectify,[],[f161]) ).
fof(f163,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| ( ( ! [X5] :
( ~ element(X5,the_carrier(X0))
| sK3(X0,X1,X2) != X5
| ~ related(X0,X1,X5) )
| ~ in(sK3(X0,X1,X2),the_carrier(X2)) )
& ( ( element(sK4(X0,X1,X2),the_carrier(X0))
& sK3(X0,X1,X2) = sK4(X0,X1,X2)
& related(X0,X1,sK4(X0,X1,X2)) )
| in(sK3(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(sK5(X0,X1,X7),the_carrier(X0))
& sK5(X0,X1,X7) = X7
& related(X0,X1,sK5(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)) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X4,sK3(X0,X1,X2)),skolemize(X6,sK4(X0,X1,X2)),skolemize(X9,sK5(X0,X1,X7))],[f162]) ).
fof(f170,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,[],[f127]) ).
fof(f171,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,[],[f170]) ).
fof(f172,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(sK12(X0,X2,X3),the_carrier(X2))
& sK12(X0,X2,X3) = X0
& related(X2,X3,sK12(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,[sK12]),skolemize(X5,sK12(X0,X2,X3))],[f171]) ).
fof(f186,plain,
( the_carrier(netstr_restr_to_element(sK25,sK26,sK27)) != a_3_0_waybel_9(sK25,sK26,sK27)
& element(sK27,the_carrier(sK26))
& ~ empty_carrier(sK26)
& net_str(sK26,sK25)
& ~ empty_carrier(sK25)
& one_sorted_str(sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26,sK27]),skolemize(X0,sK25),skolemize(X1,sK26),skolemize(X2,sK27)],[f139]) ).
fof(f212,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f154]) ).
fof(f214,plain,
! [X0,X1] :
( in(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f215,plain,
! [X0,X1] :
( ~ in(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f216,plain,
! [X2,X3,X0,X1] :
( sP0(X3,X2,X1,X0)
| netstr_restr_to_element(X0,X3,X2) != X1
| ~ sP1(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f159]) ).
fof(f220,plain,
! [X2,X3,X0,X1,X7] :
( ~ sP0(X0,X1,X2,X3)
| ~ in(X7,the_carrier(X2))
| related(X0,X1,sK5(X0,X1,X7)) ),
inference(cnf_transformation,[],[f163]) ).
fof(f221,plain,
! [X2,X3,X0,X1,X7] :
( ~ sP0(X0,X1,X2,X3)
| ~ in(X7,the_carrier(X2))
| sK5(X0,X1,X7) = X7 ),
inference(cnf_transformation,[],[f163]) ).
fof(f222,plain,
! [X2,X3,X0,X1,X7] :
( ~ sP0(X0,X1,X2,X3)
| ~ in(X7,the_carrier(X2))
| element(sK5(X0,X1,X7),the_carrier(X0)) ),
inference(cnf_transformation,[],[f163]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X8,X7] :
( in(X7,the_carrier(X2))
| ~ element(X8,the_carrier(X0))
| X7 != X8
| ~ related(X0,X1,X8)
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f163]) ).
fof(f228,plain,
! [X2,X3,X0,X1] :
( sP1(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,[],[f152]) ).
fof(f235,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,[],[f107]) ).
fof(f236,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,[],[f107]) ).
fof(f266,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,a_3_0_waybel_9(X1,X2,X3))
| related(X2,X3,sK12(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,[],[f172]) ).
fof(f267,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,a_3_0_waybel_9(X1,X2,X3))
| sK12(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,[],[f172]) ).
fof(f268,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,a_3_0_waybel_9(X1,X2,X3))
| element(sK12(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,[],[f172]) ).
fof(f269,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,[],[f172]) ).
fof(f306,plain,
one_sorted_str(sK25),
inference(cnf_transformation,[],[f186]) ).
fof(f307,plain,
~ empty_carrier(sK25),
inference(cnf_transformation,[],[f186]) ).
fof(f308,plain,
net_str(sK26,sK25),
inference(cnf_transformation,[],[f186]) ).
fof(f309,plain,
~ empty_carrier(sK26),
inference(cnf_transformation,[],[f186]) ).
fof(f310,plain,
element(sK27,the_carrier(sK26)),
inference(cnf_transformation,[],[f186]) ).
fof(f311,plain,
the_carrier(netstr_restr_to_element(sK25,sK26,sK27)) != a_3_0_waybel_9(sK25,sK26,sK27),
inference(cnf_transformation,[],[f186]) ).
fof(f325,plain,
! [X2,X3,X0] :
( ~ sP1(X0,netstr_restr_to_element(X0,X3,X2),X2,X3)
| sP0(X3,X2,netstr_restr_to_element(X0,X3,X2),X0) ),
inference(equality_resolution,[],[f216]) ).
fof(f327,plain,
! [X2,X3,X0,X1,X8] :
( ~ sP0(X0,X1,X2,X3)
| ~ element(X8,the_carrier(X0))
| ~ related(X0,X1,X8)
| in(X8,the_carrier(X2)) ),
inference(equality_resolution,[],[f223]) ).
fof(f328,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,[],[f269]) ).
fof(f329,definition,
sF29 = netstr_restr_to_element(sK25,sK26,sK27),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f330,plain,
netstr_restr_to_element(sK25,sK26,sK27) = sF29,
inference(reorient_equations,[],[f329]) ).
fof(f331,definition,
sF30 = the_carrier(sF29),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
fof(f332,plain,
the_carrier(sF29) = sF30,
inference(reorient_equations,[],[f331]) ).
fof(f333,definition,
sF31 = a_3_0_waybel_9(sK25,sK26,sK27),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
fof(f334,plain,
a_3_0_waybel_9(sK25,sK26,sK27) = sF31,
inference(reorient_equations,[],[f333]) ).
fof(f335,plain,
sF30 != sF31,
inference(definition_folding,[],[f311,f334,f332,f330]) ).
fof(f336,definition,
sF32 = the_carrier(sK26),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
fof(f337,plain,
the_carrier(sK26) = sF32,
inference(reorient_equations,[],[f336]) ).
fof(f338,plain,
element(sK27,sF32),
inference(definition_folding,[],[f310,f337]) ).
fof(f339,plain,
! [X0] :
( ~ in(X0,sF31)
| sK12(X0,sK26,sK27) = X0
| empty_carrier(sK25)
| ~ one_sorted_str(sK25)
| empty_carrier(sK26)
| ~ net_str(sK26,sK25)
| ~ element(sK27,the_carrier(sK26)) ),
inference(superposition,[],[f267,f334]) ).
fof(f340,plain,
! [X0] :
( ~ in(X0,sF31)
| sK12(X0,sK26,sK27) = X0
| ~ one_sorted_str(sK25)
| empty_carrier(sK26)
| ~ net_str(sK26,sK25)
| ~ element(sK27,the_carrier(sK26)) ),
inference(forward_subsumption_resolution,[],[f339,f307]) ).
fof(f341,plain,
! [X0] :
( ~ in(X0,sF31)
| sK12(X0,sK26,sK27) = X0
| empty_carrier(sK26)
| ~ net_str(sK26,sK25)
| ~ element(sK27,the_carrier(sK26)) ),
inference(forward_subsumption_resolution,[],[f340,f306]) ).
fof(f342,plain,
! [X0] :
( ~ in(X0,sF31)
| sK12(X0,sK26,sK27) = X0
| ~ net_str(sK26,sK25)
| ~ element(sK27,the_carrier(sK26)) ),
inference(forward_subsumption_resolution,[],[f341,f309]) ).
fof(f343,plain,
! [X0] :
( ~ in(X0,sF31)
| sK12(X0,sK26,sK27) = X0
| ~ element(sK27,the_carrier(sK26)) ),
inference(forward_subsumption_resolution,[],[f342,f308]) ).
fof(f344,plain,
! [X0] :
( ~ element(sK27,sF32)
| ~ in(X0,sF31)
| sK12(X0,sK26,sK27) = X0 ),
inference(forward_demodulation,[],[f343,f337]) ).
fof(f345,plain,
! [X0] :
( ~ in(X0,sF31)
| sK12(X0,sK26,sK27) = X0 ),
inference(forward_subsumption_resolution,[],[f344,f338]) ).
fof(f376,plain,
! [X0] :
( ~ in(X0,sF31)
| related(sK26,sK27,sK12(X0,sK26,sK27))
| empty_carrier(sK25)
| ~ one_sorted_str(sK25)
| empty_carrier(sK26)
| ~ net_str(sK26,sK25)
| ~ element(sK27,the_carrier(sK26)) ),
inference(superposition,[],[f266,f334]) ).
fof(f377,plain,
! [X0] :
( ~ in(X0,sF31)
| related(sK26,sK27,sK12(X0,sK26,sK27))
| ~ one_sorted_str(sK25)
| empty_carrier(sK26)
| ~ net_str(sK26,sK25)
| ~ element(sK27,the_carrier(sK26)) ),
inference(forward_subsumption_resolution,[],[f376,f307]) ).
fof(f378,plain,
! [X0] :
( ~ in(X0,sF31)
| related(sK26,sK27,sK12(X0,sK26,sK27))
| empty_carrier(sK26)
| ~ net_str(sK26,sK25)
| ~ element(sK27,the_carrier(sK26)) ),
inference(forward_subsumption_resolution,[],[f377,f306]) ).
fof(f379,plain,
! [X0] :
( ~ in(X0,sF31)
| related(sK26,sK27,sK12(X0,sK26,sK27))
| ~ net_str(sK26,sK25)
| ~ element(sK27,the_carrier(sK26)) ),
inference(forward_subsumption_resolution,[],[f378,f309]) ).
fof(f380,plain,
! [X0] :
( ~ in(X0,sF31)
| related(sK26,sK27,sK12(X0,sK26,sK27))
| ~ element(sK27,the_carrier(sK26)) ),
inference(forward_subsumption_resolution,[],[f379,f308]) ).
fof(f381,plain,
! [X0] :
( ~ element(sK27,sF32)
| ~ in(X0,sF31)
| related(sK26,sK27,sK12(X0,sK26,sK27)) ),
inference(forward_demodulation,[],[f380,f337]) ).
fof(f382,plain,
! [X0] :
( related(sK26,sK27,sK12(X0,sK26,sK27))
| ~ in(X0,sF31) ),
inference(forward_subsumption_resolution,[],[f381,f338]) ).
fof(f399,plain,
! [X0] :
( in(X0,sF31)
| ~ element(X0,the_carrier(sK26))
| ~ related(sK26,sK27,X0)
| empty_carrier(sK25)
| ~ one_sorted_str(sK25)
| empty_carrier(sK26)
| ~ net_str(sK26,sK25)
| ~ element(sK27,the_carrier(sK26)) ),
inference(superposition,[],[f328,f334]) ).
fof(f402,plain,
! [X0] :
( in(X0,sF31)
| ~ element(X0,the_carrier(sK26))
| ~ related(sK26,sK27,X0)
| ~ one_sorted_str(sK25)
| empty_carrier(sK26)
| ~ net_str(sK26,sK25)
| ~ element(sK27,the_carrier(sK26)) ),
inference(forward_subsumption_resolution,[],[f399,f307]) ).
fof(f403,plain,
! [X0] :
( in(X0,sF31)
| ~ element(X0,the_carrier(sK26))
| ~ related(sK26,sK27,X0)
| empty_carrier(sK26)
| ~ net_str(sK26,sK25)
| ~ element(sK27,the_carrier(sK26)) ),
inference(forward_subsumption_resolution,[],[f402,f306]) ).
fof(f404,plain,
! [X0] :
( in(X0,sF31)
| ~ element(X0,the_carrier(sK26))
| ~ related(sK26,sK27,X0)
| ~ net_str(sK26,sK25)
| ~ element(sK27,the_carrier(sK26)) ),
inference(forward_subsumption_resolution,[],[f403,f309]) ).
fof(f405,plain,
! [X0] :
( in(X0,sF31)
| ~ element(X0,the_carrier(sK26))
| ~ related(sK26,sK27,X0)
| ~ element(sK27,the_carrier(sK26)) ),
inference(forward_subsumption_resolution,[],[f404,f308]) ).
fof(f406,plain,
! [X0] :
( ~ element(X0,sF32)
| in(X0,sF31)
| ~ related(sK26,sK27,X0)
| ~ element(sK27,the_carrier(sK26)) ),
inference(forward_demodulation,[],[f405,f337]) ).
fof(f407,plain,
! [X0] :
( ~ element(sK27,sF32)
| ~ element(X0,sF32)
| in(X0,sF31)
| ~ related(sK26,sK27,X0) ),
inference(forward_demodulation,[],[f406,f337]) ).
fof(f408,plain,
! [X0] :
( ~ related(sK26,sK27,X0)
| in(X0,sF31)
| ~ element(X0,sF32) ),
inference(forward_subsumption_resolution,[],[f407,f338]) ).
fof(f411,plain,
! [X0] :
( ~ in(X0,sF31)
| element(sK12(X0,sK26,sK27),the_carrier(sK26))
| empty_carrier(sK25)
| ~ one_sorted_str(sK25)
| empty_carrier(sK26)
| ~ net_str(sK26,sK25)
| ~ element(sK27,the_carrier(sK26)) ),
inference(superposition,[],[f268,f334]) ).
fof(f413,plain,
! [X0] :
( ~ in(X0,sF31)
| element(sK12(X0,sK26,sK27),the_carrier(sK26))
| ~ one_sorted_str(sK25)
| empty_carrier(sK26)
| ~ net_str(sK26,sK25)
| ~ element(sK27,the_carrier(sK26)) ),
inference(forward_subsumption_resolution,[],[f411,f307]) ).
fof(f414,plain,
! [X0] :
( ~ in(X0,sF31)
| element(sK12(X0,sK26,sK27),the_carrier(sK26))
| empty_carrier(sK26)
| ~ net_str(sK26,sK25)
| ~ element(sK27,the_carrier(sK26)) ),
inference(forward_subsumption_resolution,[],[f413,f306]) ).
fof(f415,plain,
! [X0] :
( ~ in(X0,sF31)
| element(sK12(X0,sK26,sK27),the_carrier(sK26))
| ~ net_str(sK26,sK25)
| ~ element(sK27,the_carrier(sK26)) ),
inference(forward_subsumption_resolution,[],[f414,f309]) ).
fof(f416,plain,
! [X0] :
( ~ in(X0,sF31)
| element(sK12(X0,sK26,sK27),the_carrier(sK26))
| ~ element(sK27,the_carrier(sK26)) ),
inference(forward_subsumption_resolution,[],[f415,f308]) ).
fof(f417,plain,
! [X0] :
( element(sK12(X0,sK26,sK27),sF32)
| ~ in(X0,sF31)
| ~ element(sK27,the_carrier(sK26)) ),
inference(forward_demodulation,[],[f416,f337]) ).
fof(f418,plain,
! [X0] :
( ~ element(sK27,sF32)
| element(sK12(X0,sK26,sK27),sF32)
| ~ in(X0,sF31) ),
inference(forward_demodulation,[],[f417,f337]) ).
fof(f419,plain,
! [X0] :
( element(sK12(X0,sK26,sK27),sF32)
| ~ in(X0,sF31) ),
inference(forward_subsumption_resolution,[],[f418,f338]) ).
fof(f459,plain,
! [X2,X0,X1] :
( sP0(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,[],[f325,f228]) ).
fof(f462,definition,
( spl33_11
<=> sP0(sK26,sK27,sF29,sK25) ),
introduced(definition,[new_symbols(definition,[spl33_11])],[avatar_definition]) ).
fof(f464,plain,
( sP0(sK26,sK27,sF29,sK25)
| ~ spl33_11 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f470,plain,
! [X2,X0,X1] :
( sP0(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,[],[f459,f236]) ).
fof(f471,plain,
! [X2,X0,X1] :
( sP0(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,[],[f470,f235]) ).
fof(f475,plain,
( sP0(sK26,sK27,sF29,sK25)
| ~ element(sK27,the_carrier(sK26))
| empty_carrier(sK26)
| ~ net_str(sK26,sK25)
| empty_carrier(sK25)
| ~ one_sorted_str(sK25) ),
inference(superposition,[],[f471,f330]) ).
fof(f476,plain,
( sP0(sK26,sK27,sF29,sK25)
| ~ element(sK27,the_carrier(sK26))
| ~ net_str(sK26,sK25)
| empty_carrier(sK25)
| ~ one_sorted_str(sK25) ),
inference(forward_subsumption_resolution,[],[f475,f309]) ).
fof(f477,plain,
( sP0(sK26,sK27,sF29,sK25)
| ~ element(sK27,the_carrier(sK26))
| empty_carrier(sK25)
| ~ one_sorted_str(sK25) ),
inference(forward_subsumption_resolution,[],[f476,f308]) ).
fof(f478,plain,
( sP0(sK26,sK27,sF29,sK25)
| ~ element(sK27,the_carrier(sK26))
| ~ one_sorted_str(sK25) ),
inference(forward_subsumption_resolution,[],[f477,f307]) ).
fof(f479,plain,
( sP0(sK26,sK27,sF29,sK25)
| ~ element(sK27,the_carrier(sK26)) ),
inference(forward_subsumption_resolution,[],[f478,f306]) ).
fof(f480,plain,
( ~ element(sK27,sF32)
| sP0(sK26,sK27,sF29,sK25) ),
inference(forward_demodulation,[],[f479,f337]) ).
fof(f481,plain,
sP0(sK26,sK27,sF29,sK25),
inference(forward_subsumption_resolution,[],[f480,f338]) ).
fof(f482,plain,
spl33_11,
inference(avatar_split_clause,[],[f481,f462]) ).
fof(f483,plain,
( ! [X0] :
( ~ in(X0,the_carrier(sF29))
| sK5(sK26,sK27,X0) = X0 )
| ~ spl33_11 ),
inference(resolution,[],[f464,f221]) ).
fof(f484,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK26))
| ~ related(sK26,sK27,X0)
| in(X0,the_carrier(sF29)) )
| ~ spl33_11 ),
inference(resolution,[],[f464,f327]) ).
fof(f485,plain,
( ! [X0] :
( ~ in(X0,the_carrier(sF29))
| related(sK26,sK27,sK5(sK26,sK27,X0)) )
| ~ spl33_11 ),
inference(resolution,[],[f464,f220]) ).
fof(f486,plain,
( ! [X0] :
( related(sK26,sK27,sK5(sK26,sK27,X0))
| ~ in(X0,sF30) )
| ~ spl33_11 ),
inference(forward_demodulation,[],[f485,f332]) ).
fof(f487,plain,
( ! [X0] :
( ~ element(X0,sF32)
| ~ related(sK26,sK27,X0)
| in(X0,the_carrier(sF29)) )
| ~ spl33_11 ),
inference(forward_demodulation,[],[f484,f337]) ).
fof(f488,plain,
( ! [X0] :
( ~ in(X0,sF30)
| sK5(sK26,sK27,X0) = X0 )
| ~ spl33_11 ),
inference(forward_demodulation,[],[f483,f332]) ).
fof(f489,plain,
( ! [X0] :
( ~ related(sK26,sK27,X0)
| ~ element(X0,sF32)
| in(X0,sF30) )
| ~ spl33_11 ),
inference(forward_demodulation,[],[f487,f332]) ).
fof(f490,plain,
( ! [X0] :
( ~ element(sK12(X0,sK26,sK27),sF32)
| in(sK12(X0,sK26,sK27),sF30)
| ~ in(X0,sF31) )
| ~ spl33_11 ),
inference(resolution,[],[f489,f382]) ).
fof(f491,plain,
( ! [X0] :
( in(sK12(X0,sK26,sK27),sF30)
| ~ in(X0,sF31) )
| ~ spl33_11 ),
inference(forward_subsumption_resolution,[],[f490,f419]) ).
fof(f493,plain,
( ! [X0] :
( ~ element(sK5(sK26,sK27,X0),sF32)
| in(sK5(sK26,sK27,X0),sF31)
| ~ in(X0,sF30) )
| ~ spl33_11 ),
inference(resolution,[],[f486,f408]) ).
fof(f558,plain,
( ! [X0] :
( ~ in(X0,the_carrier(sF29))
| element(sK5(sK26,sK27,X0),the_carrier(sK26)) )
| ~ spl33_11 ),
inference(resolution,[],[f222,f464]) ).
fof(f559,plain,
( ! [X0] :
( ~ in(X0,sF30)
| element(sK5(sK26,sK27,X0),the_carrier(sK26)) )
| ~ spl33_11 ),
inference(forward_demodulation,[],[f558,f332]) ).
fof(f560,plain,
( ! [X0] :
( element(sK5(sK26,sK27,X0),sF32)
| ~ in(X0,sF30) )
| ~ spl33_11 ),
inference(forward_demodulation,[],[f559,f337]) ).
fof(f584,plain,
( ! [X0] :
( in(sK5(sK26,sK27,X0),sF31)
| ~ in(X0,sF30)
| ~ in(X0,sF30) )
| ~ spl33_11 ),
inference(resolution,[],[f493,f560]) ).
fof(f585,plain,
( ! [X0] :
( in(sK5(sK26,sK27,X0),sF31)
| ~ in(X0,sF30) )
| ~ spl33_11 ),
inference(duplicate_literal_removal,[],[f584]) ).
fof(f1069,plain,
( ! [X0] :
( subset(sF30,X0)
| sK2(sF30,X0) = sK5(sK26,sK27,sK2(sF30,X0)) )
| ~ spl33_11 ),
inference(resolution,[],[f214,f488]) ).
fof(f1072,plain,
! [X0] :
( subset(sF31,X0)
| sK2(sF31,X0) = sK12(sK2(sF31,X0),sK26,sK27) ),
inference(resolution,[],[f214,f345]) ).
fof(f1074,plain,
! [X0] :
( ~ subset(X0,sF31)
| sK2(sF31,X0) = sK12(sK2(sF31,X0),sK26,sK27)
| sF31 = X0 ),
inference(resolution,[],[f1072,f212]) ).
fof(f1077,plain,
( sK2(sF31,sF30) = sK12(sK2(sF31,sF30),sK26,sK27)
| sF30 = sF31
| sK2(sF30,sF31) = sK5(sK26,sK27,sK2(sF30,sF31))
| ~ spl33_11 ),
inference(resolution,[],[f1074,f1069]) ).
fof(f1079,plain,
( sK2(sF31,sF30) = sK12(sK2(sF31,sF30),sK26,sK27)
| sK2(sF30,sF31) = sK5(sK26,sK27,sK2(sF30,sF31))
| ~ spl33_11 ),
inference(forward_subsumption_resolution,[],[f1077,f335]) ).
fof(f1081,definition,
( spl33_44
<=> sK2(sF30,sF31) = sK5(sK26,sK27,sK2(sF30,sF31)) ),
introduced(definition,[new_symbols(definition,[spl33_44])],[avatar_definition]) ).
fof(f1082,plain,
( sK2(sF30,sF31) != sK5(sK26,sK27,sK2(sF30,sF31))
| spl33_44 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f1083,plain,
( sK2(sF30,sF31) = sK5(sK26,sK27,sK2(sF30,sF31))
| ~ spl33_44 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f1085,definition,
( spl33_45
<=> sK2(sF31,sF30) = sK12(sK2(sF31,sF30),sK26,sK27) ),
introduced(definition,[new_symbols(definition,[spl33_45])],[avatar_definition]) ).
fof(f1086,plain,
( sK2(sF31,sF30) != sK12(sK2(sF31,sF30),sK26,sK27)
| spl33_45 ),
inference(avatar_component_clause,[],[f1085]) ).
fof(f1087,plain,
( sK2(sF31,sF30) = sK12(sK2(sF31,sF30),sK26,sK27)
| ~ spl33_45 ),
inference(avatar_component_clause,[],[f1085]) ).
fof(f1088,plain,
( spl33_44
| spl33_45
| ~ spl33_11 ),
inference(avatar_split_clause,[],[f1079,f462,f1085,f1081]) ).
fof(f1089,plain,
( in(sK2(sF30,sF31),sF31)
| ~ in(sK2(sF30,sF31),sF30)
| ~ spl33_11
| ~ spl33_44 ),
inference(superposition,[],[f585,f1083]) ).
fof(f1095,definition,
( spl33_46
<=> in(sK2(sF30,sF31),sF30) ),
introduced(definition,[new_symbols(definition,[spl33_46])],[avatar_definition]) ).
fof(f1096,plain,
( in(sK2(sF30,sF31),sF30)
| ~ spl33_46 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f1097,plain,
( ~ in(sK2(sF30,sF31),sF30)
| spl33_46 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f1114,definition,
( spl33_50
<=> in(sK2(sF30,sF31),sF31) ),
introduced(definition,[new_symbols(definition,[spl33_50])],[avatar_definition]) ).
fof(f1116,plain,
( in(sK2(sF30,sF31),sF31)
| ~ spl33_50 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f1118,plain,
( ~ spl33_46
| spl33_50
| ~ spl33_11
| ~ spl33_44 ),
inference(avatar_split_clause,[],[f1089,f1081,f462,f1114,f1095]) ).
fof(f1119,plain,
( subset(sF30,sF31)
| spl33_46 ),
inference(resolution,[],[f1097,f214]) ).
fof(f1120,plain,
( sK2(sF31,sF30) = sK12(sK2(sF31,sF30),sK26,sK27)
| sF30 = sF31
| spl33_46 ),
inference(resolution,[],[f1119,f1074]) ).
fof(f1121,plain,
( ~ subset(sF31,sF30)
| sF30 = sF31
| spl33_46 ),
inference(resolution,[],[f1119,f212]) ).
fof(f1122,plain,
( ~ subset(sF31,sF30)
| spl33_46 ),
inference(forward_subsumption_resolution,[],[f1121,f335]) ).
fof(f1123,plain,
( sK2(sF31,sF30) = sK12(sK2(sF31,sF30),sK26,sK27)
| spl33_46 ),
inference(forward_subsumption_resolution,[],[f1120,f335]) ).
fof(f1124,plain,
( spl33_45
| spl33_46 ),
inference(avatar_split_clause,[],[f1123,f1095,f1085]) ).
fof(f1129,plain,
( in(sK2(sF31,sF30),sF30)
| ~ in(sK2(sF31,sF30),sF31)
| ~ spl33_11
| ~ spl33_45 ),
inference(superposition,[],[f491,f1087]) ).
fof(f1134,definition,
( spl33_51
<=> in(sK2(sF31,sF30),sF31) ),
introduced(definition,[new_symbols(definition,[spl33_51])],[avatar_definition]) ).
fof(f1136,plain,
( ~ in(sK2(sF31,sF30),sF31)
| spl33_51 ),
inference(avatar_component_clause,[],[f1134]) ).
fof(f1138,definition,
( spl33_52
<=> in(sK2(sF31,sF30),sF30) ),
introduced(definition,[new_symbols(definition,[spl33_52])],[avatar_definition]) ).
fof(f1140,plain,
( in(sK2(sF31,sF30),sF30)
| ~ spl33_52 ),
inference(avatar_component_clause,[],[f1138]) ).
fof(f1141,plain,
( ~ spl33_51
| spl33_52
| ~ spl33_11
| ~ spl33_45 ),
inference(avatar_split_clause,[],[f1129,f1085,f462,f1138,f1134]) ).
fof(f1157,plain,
( subset(sF31,sF30)
| spl33_51 ),
inference(resolution,[],[f1136,f214]) ).
fof(f1158,plain,
( $false
| spl33_46
| spl33_51 ),
inference(forward_subsumption_resolution,[],[f1157,f1122]) ).
fof(f1159,plain,
( spl33_46
| spl33_51 ),
inference(avatar_contradiction_clause,[],[f1158]) ).
fof(f1167,plain,
( subset(sF31,sF30)
| ~ spl33_52 ),
inference(resolution,[],[f1140,f215]) ).
fof(f1173,plain,
( $false
| spl33_46
| ~ spl33_52 ),
inference(forward_subsumption_resolution,[],[f1167,f1122]) ).
fof(f1174,plain,
( spl33_46
| ~ spl33_52 ),
inference(avatar_contradiction_clause,[],[f1173]) ).
fof(f1178,plain,
( subset(sF30,sF31)
| ~ spl33_50 ),
inference(resolution,[],[f1116,f215]) ).
fof(f1195,plain,
( sK2(sF30,sF31) = sK5(sK26,sK27,sK2(sF30,sF31))
| ~ spl33_11
| ~ spl33_46 ),
inference(resolution,[],[f1096,f488]) ).
fof(f1246,plain,
( sK2(sF31,sF30) = sK12(sK2(sF31,sF30),sK26,sK27)
| sF30 = sF31
| ~ spl33_50 ),
inference(resolution,[],[f1178,f1074]) ).
fof(f1247,plain,
( ~ subset(sF31,sF30)
| sF30 = sF31
| ~ spl33_50 ),
inference(resolution,[],[f1178,f212]) ).
fof(f1248,plain,
( sF30 = sF31
| ~ spl33_50
| spl33_51 ),
inference(forward_subsumption_resolution,[],[f1247,f1157]) ).
fof(f1249,plain,
( sF30 = sF31
| spl33_45
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f1246,f1086]) ).
fof(f1250,plain,
( $false
| ~ spl33_50
| spl33_51 ),
inference(forward_subsumption_resolution,[],[f1248,f335]) ).
fof(f1251,plain,
( ~ spl33_50
| spl33_51 ),
inference(avatar_contradiction_clause,[],[f1250]) ).
fof(f1252,plain,
( $false
| spl33_45
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f1249,f335]) ).
fof(f1253,plain,
( spl33_45
| ~ spl33_50 ),
inference(avatar_contradiction_clause,[],[f1252]) ).
fof(f1261,plain,
( $false
| ~ spl33_11
| spl33_44
| ~ spl33_46 ),
inference(forward_subsumption_resolution,[],[f1195,f1082]) ).
fof(f1262,plain,
( ~ spl33_11
| spl33_44
| ~ spl33_46 ),
inference(avatar_contradiction_clause,[],[f1261]) ).
fof(f1332,plain,
( ~ subset(sF30,sF31)
| sF30 = sF31
| ~ spl33_52 ),
inference(resolution,[],[f1167,f212]) ).
fof(f1333,plain,
( sF30 = sF31
| ~ spl33_50
| ~ spl33_52 ),
inference(forward_subsumption_resolution,[],[f1332,f1178]) ).
fof(f1334,plain,
( $false
| ~ spl33_50
| ~ spl33_52 ),
inference(forward_subsumption_resolution,[],[f1333,f335]) ).
fof(f1335,plain,
( ~ spl33_50
| ~ spl33_52 ),
inference(avatar_contradiction_clause,[],[f1334]) ).
cnf(s8,plain,
spl33_11,
inference(sat_conversion,[],[f482]) ).
cnf(s57,plain,
( ~ spl33_11
| spl33_44
| spl33_45 ),
inference(sat_conversion,[],[f1088]) ).
cnf(s62,plain,
( ~ spl33_11
| ~ spl33_44
| ~ spl33_46
| spl33_50 ),
inference(sat_conversion,[],[f1118]) ).
cnf(s63,plain,
( spl33_45
| spl33_46 ),
inference(sat_conversion,[],[f1124]) ).
cnf(s64,plain,
( ~ spl33_11
| ~ spl33_45
| ~ spl33_51
| spl33_52 ),
inference(sat_conversion,[],[f1141]) ).
cnf(s68,plain,
( spl33_46
| spl33_51 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s69,plain,
( spl33_46
| ~ spl33_52 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s76,plain,
( ~ spl33_50
| spl33_51 ),
inference(sat_conversion,[],[f1251]) ).
cnf(s77,plain,
( spl33_45
| ~ spl33_50 ),
inference(sat_conversion,[],[f1253]) ).
cnf(s79,plain,
( ~ spl33_11
| spl33_44
| ~ spl33_46 ),
inference(sat_conversion,[],[f1262]) ).
cnf(s84,plain,
( ~ spl33_50
| ~ spl33_52 ),
inference(sat_conversion,[],[f1335]) ).
cnf(s94,plain,
spl33_44,
inference(rat,[],[s64,s68,s69,s57,s79,s8]) ).
cnf(s95,plain,
( spl33_46
| ~ spl33_45 ),
inference(rat,[],[s64,s68,s69,s8]) ).
cnf(s96,plain,
~ spl33_45,
inference(rat,[],[s64,s76,s84,s62,s95,s8,s94]) ).
cnf(s97,plain,
~ spl33_50,
inference(rat,[],[s77,s96]) ).
cnf(s99,plain,
spl33_46,
inference(rat,[],[s63,s96]) ).
cnf(s100,plain,
$false,
inference(rat,[],[s62,s94,s8,s97,s99]) ).
fof(f1336,plain,
$false,
inference(avatar_sat_refutation,[],[s100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU384+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 05:07:03 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
% 7.55/2.06 % (3271147)Detected formulas, will run a generic FOF schedule.
% 7.55/2.06 % (3271156)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4253558489:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.55/2.06 % (3271156)Instruction limit reached!
% 7.55/2.06 % (3271156)------------------------------
% 7.55/2.06 % (3271156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3271156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3271156)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3271156)Termination reason: Instruction limit
% 7.55/2.06 % (3271156)Termination phase: Saturation
% 7.55/2.06 % (3271156)Time elapsed: 0.038 s
% 7.55/2.06 % (3271156)Peak memory usage: 88 MB
% 7.55/2.06 % (3271156)Instructions burned: 122 (million)
% 7.55/2.06 % (3271158)dis-21_1_sil=8000:lcm=predicate:random_seed=1441592364: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)
% 7.55/2.06 % (3271152)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=1325992662:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.55/2.06 % (3271157)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1074395824:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.55/2.06 % (3271155)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3470148318:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.55/2.06 % (3271153)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=392971327:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.55/2.06 % (3271154)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=1553940012:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.55/2.06 % (3271155)Refutation not found, incomplete strategy
% 7.55/2.06 % (3271155)------------------------------
% 7.55/2.06 % (3271155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3271155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3271155)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3271155)Termination reason: Refutation not found, incomplete strategy
% 7.55/2.06 % (3271155)Time elapsed: 0.002 s
% 7.55/2.06 % (3271155)Peak memory usage: 88 MB
% 7.55/2.06 % (3271155)Instructions burned: 1 (million)
% 7.55/2.06 % (3271158)Instruction limit reached!
% 7.55/2.06 % (3271158)------------------------------
% 7.55/2.06 % (3271158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3271158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3271158)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3271158)Termination reason: Instruction limit
% 7.55/2.06 % (3271158)Termination phase: Saturation
% 7.55/2.06 % (3271158)Time elapsed: 0.084 s
% 7.55/2.06 % (3271158)Peak memory usage: 90 MB
% 7.55/2.06 % (3271158)Instructions burned: 129 (million)
% 7.55/2.06 % (3271157)Instruction limit reached!
% 7.55/2.06 % (3271157)------------------------------
% 7.55/2.06 % (3271157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3271157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3271157)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3271157)Termination reason: Instruction limit
% 7.55/2.06 % (3271157)Termination phase: Saturation
% 7.55/2.06 % (3271157)Time elapsed: 0.102 s
% 7.55/2.06 % (3271157)Peak memory usage: 90 MB
% 7.55/2.06 % (3271157)Instructions burned: 139 (million)
% 7.55/2.06 % (3271166)lrs+10_1_sil=8000:sp=occurrence:random_seed=3820458387:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.55/2.06 % (3271166)Instruction limit reached!
% 7.55/2.06 % (3271166)------------------------------
% 7.55/2.06 % (3271166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3271166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3271166)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3271166)Termination reason: Instruction limit
% 7.55/2.06 % (3271166)Termination phase: Saturation
% 7.55/2.06 % (3271166)Time elapsed: 0.092 s
% 7.55/2.06 % (3271166)Peak memory usage: 92 MB
% 7.55/2.06 % (3271166)Instructions burned: 287 (million)
% 7.55/2.06 % (3271167)lrs+10_1_sil=32000:urr=on:br=off:random_seed=254762960:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.55/2.06 % (3271167)Refutation not found, incomplete strategy
% 7.55/2.06 % (3271167)------------------------------
% 7.55/2.06 % (3271167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3271167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3271167)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3271167)Termination reason: Refutation not found, incomplete strategy
% 7.55/2.06 % (3271167)Time elapsed: 0.007 s
% 7.55/2.06 % (3271167)Peak memory usage: 89 MB
% 7.55/2.06 % (3271167)Instructions burned: 8 (million)
% 7.55/2.06 % (3271155)------------------------------
% 7.55/2.06 % (3271155)------------------------------
% 7.55/2.06 % (3271168)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1653492693:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.55/2.06 % (3271170)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=892016560:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.55/2.06 % (3271173)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=649518297:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.55/2.06 % (3271170)Instruction limit reached!
% 7.55/2.06 % (3271170)------------------------------
% 7.55/2.06 % (3271170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3271170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3271170)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3271170)Termination reason: Instruction limit
% 7.55/2.06 % (3271170)Termination phase: Saturation
% 7.55/2.06 % (3271170)Time elapsed: 0.076 s
% 7.55/2.06 % (3271170)Peak memory usage: 92 MB
% 7.55/2.06 % (3271170)Instructions burned: 250 (million)
% 7.55/2.06 % (3271173)Refutation not found, incomplete strategy
% 7.55/2.06 % (3271173)------------------------------
% 7.55/2.06 % (3271173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3271173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3271173)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3271173)Termination reason: Refutation not found, incomplete strategy
% 7.55/2.06 % (3271173)Time elapsed: 0.004 s
% 7.55/2.06 % (3271173)Peak memory usage: 88 MB
% 7.55/2.06 % (3271173)Instructions burned: 5 (million)
% 7.55/2.06 % (3271168)Instruction limit reached!
% 7.55/2.06 % (3271168)------------------------------
% 7.55/2.06 % (3271168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3271168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3271168)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3271168)Termination reason: Instruction limit
% 7.55/2.06 % (3271168)Termination phase: Saturation
% 7.55/2.06 % (3271168)Time elapsed: 0.223 s
% 7.55/2.06 % (3271168)Peak memory usage: 92 MB
% 7.55/2.06 % (3271168)Instructions burned: 325 (million)
% 7.55/2.06 % (3271167)------------------------------
% 7.55/2.06 % (3271167)------------------------------
% 7.55/2.06 % (3271176)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=631043298:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 7.55/2.06 % (3271177)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=572447877:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.55/2.06 % (3271173)------------------------------
% 7.55/2.06 % (3271173)------------------------------
% 7.55/2.06 % (3271178)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2786533551:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.55/2.06 % (3271177)Instruction limit reached!
% 7.55/2.06 % (3271177)------------------------------
% 7.55/2.06 % (3271177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3271177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3271177)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3271177)Termination reason: Instruction limit
% 7.55/2.06 % (3271177)Termination phase: Saturation
% 7.55/2.06 % (3271177)Time elapsed: 0.082 s
% 7.55/2.06 % (3271177)Peak memory usage: 90 MB
% 7.55/2.06 % (3271177)Instructions burned: 114 (million)
% 7.55/2.06 % (3271178)Instruction limit reached!
% 7.55/2.06 % (3271178)------------------------------
% 7.55/2.06 % (3271178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3271178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3271178)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3271178)Termination reason: Instruction limit
% 7.55/2.06 % (3271178)Termination phase: Saturation
% 7.55/2.06 % (3271178)Time elapsed: 0.071 s
% 7.55/2.06 % (3271178)Peak memory usage: 89 MB
% 7.55/2.06 % (3271178)Instructions burned: 128 (million)
% 7.55/2.06 % (3271152)First to succeed.
% 7.55/2.06 % (3271152)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3271147"
% 7.55/2.06 % (3271153)Also succeeded, but the first one will report.
% 7.55/2.06 % (3271182)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=545499785:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.55/2.06 % (3271183)lrs+10_1_sil=8000:sp=occurrence:random_seed=1222822983:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.55/2.06 % (3271182)Instruction limit reached!
% 7.55/2.06 % (3271182)------------------------------
% 7.55/2.06 % (3271182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3271182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3271182)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3271182)Termination reason: Instruction limit
% 7.55/2.06 % (3271182)Termination phase: Saturation
% 7.55/2.06 % (3271182)Time elapsed: 0.072 s
% 7.55/2.06 % (3271182)Peak memory usage: 89 MB
% 7.55/2.06 % (3271182)Instructions burned: 115 (million)
% 7.55/2.06 % (3271184)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3340751345:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.55/2.06 % (3271184)Refutation not found, incomplete strategy
% 7.55/2.06 % (3271184)------------------------------
% 7.55/2.06 % (3271184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3271184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3271184)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3271184)Termination reason: Refutation not found, incomplete strategy
% 7.55/2.06 % (3271184)Time elapsed: 0.005 s
% 7.55/2.06 % (3271184)Peak memory usage: 88 MB
% 7.55/2.06 % (3271184)Instructions burned: 7 (million)
% 7.55/2.06 % (3271176)Also succeeded, but the first one will report.
% 7.55/2.06 % (3271152)Refutation found. Thanks to Tanya!
% 7.55/2.06 % SZS status Theorem for theBenchmark
% 7.55/2.06 % SZS output start Proof for theBenchmark
% See solution above
% 9.03/2.25 % (3271152)------------------------------
% 9.03/2.25 % (3271152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.03/2.25 % (3271152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/2.25 % (3271152)CaDiCaL version: 2.1.3
% 9.03/2.25 % (3271152)Termination reason: Refutation
% 9.03/2.25 % (3271152)Time elapsed: 0.762 s
% 9.03/2.25 % (3271152)Peak memory usage: 129 MB
% 9.03/2.25 % (3271152)Instructions burned: 1118 (million)
% 9.03/2.25 % (3271152)------------------------------
% 9.03/2.25 % (3271152)------------------------------
% 9.03/2.25 % (3271147)Success in time 1.2 s
% 9.03/2.25 % Vampire exiting
%------------------------------------------------------------------------------