%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU342+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:48:26 PM UTC 2026
% Result : Theorem 8.14s 4.04s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 22
% Syntax : Number of formulae : 182 ( 36 unt; 9 def)
% Number of atoms : 568 ( 51 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 654 ( 268 ~; 321 |; 34 &)
% ( 16 <=>; 13 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 7 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-4 aty)
% Number of variables : 240 ( 0 sgn 228 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f81,axiom,
! [X0,X1,X2] :
( X2 = unordered_pair(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( X3 = X0
| X3 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tarski) ).
fof(f109,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f120,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& latt_str(X0) )
=> relation_of_lattice(X0) = a_1_0_filter_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_filter_1) ).
fof(f187,axiom,
! [X0] :
( join_semilatt_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f188,axiom,
! [X0] :
( latt_str(X0)
=> ( meet_semilatt_str(X0)
& join_semilatt_str(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f223,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f271,axiom,
! [X0,X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ( in(X0,a_1_0_filter_1(X1))
<=> ? [X2,X3] :
( element(X2,the_carrier(X1))
& element(X3,the_carrier(X1))
& X0 = ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3)
& below_refl(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_1_0_filter_1) ).
fof(f329,axiom,
! [X0,X1,X2,X3] :
( ( ~ empty(X0)
& ~ empty(X1)
& element(X2,X0)
& element(X3,X1) )
=> ordered_pair_as_product_element(X0,X1,X2,X3) = ordered_pair(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_domain_1) ).
fof(f392,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X0,X2)
& in(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f475,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f483,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& latt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0))
<=> below_refl(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_filter_1) ).
fof(f484,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& latt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0))
<=> below_refl(X0,X1,X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f483]) ).
fof(f555,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f763,plain,
! [X0] :
( relation_of_lattice(X0) = a_1_0_filter_1(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f120]) ).
fof(f764,plain,
! [X0] :
( relation_of_lattice(X0) = a_1_0_filter_1(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f763]) ).
fof(f821,plain,
! [X0] :
( one_sorted_str(X0)
| ~ join_semilatt_str(X0) ),
inference(ennf_transformation,[],[f187]) ).
fof(f822,plain,
! [X0] :
( ( meet_semilatt_str(X0)
& join_semilatt_str(X0) )
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f188]) ).
fof(f847,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f223]) ).
fof(f848,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f847]) ).
fof(f904,plain,
! [X0,X1] :
( ( in(X0,a_1_0_filter_1(X1))
<=> ? [X2,X3] :
( element(X2,the_carrier(X1))
& element(X3,the_carrier(X1))
& X0 = ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3)
& below_refl(X1,X2,X3) ) )
| empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(ennf_transformation,[],[f271]) ).
fof(f905,plain,
! [X0,X1] :
( ( in(X0,a_1_0_filter_1(X1))
<=> ? [X2,X3] :
( element(X2,the_carrier(X1))
& element(X3,the_carrier(X1))
& X0 = ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3)
& below_refl(X1,X2,X3) ) )
| empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(flattening,[],[f904]) ).
fof(f945,plain,
! [X0,X1,X2,X3] :
( ordered_pair_as_product_element(X0,X1,X2,X3) = ordered_pair(X2,X3)
| empty(X0)
| empty(X1)
| ~ element(X2,X0)
| ~ element(X3,X1) ),
inference(ennf_transformation,[],[f329]) ).
fof(f946,plain,
! [X0,X1,X2,X3] :
( ordered_pair_as_product_element(X0,X1,X2,X3) = ordered_pair(X2,X3)
| empty(X0)
| empty(X1)
| ~ element(X2,X0)
| ~ element(X3,X1) ),
inference(flattening,[],[f945]) ).
fof(f1165,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f475]) ).
fof(f1166,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f1165]) ).
fof(f1174,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0))
<~> below_refl(X0,X1,X2) )
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& ~ empty_carrier(X0)
& lattice(X0)
& latt_str(X0) ),
inference(ennf_transformation,[],[f484]) ).
fof(f1175,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0))
<~> below_refl(X0,X1,X2) )
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& ~ empty_carrier(X0)
& lattice(X0)
& latt_str(X0) ),
inference(flattening,[],[f1174]) ).
fof(f1492,plain,
! [X2,X0,X1] :
( X0 = X2
| ~ in(X2,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f67]) ).
fof(f1545,plain,
! [X2,X3,X0,X1] :
( X1 != X3
| in(X3,X2)
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f81]) ).
fof(f1669,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f109]) ).
fof(f1707,plain,
! [X0] :
( relation_of_lattice(X0) = a_1_0_filter_1(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f764]) ).
fof(f1775,plain,
! [X0] :
( ~ join_semilatt_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f821]) ).
fof(f1776,plain,
! [X0] :
( ~ latt_str(X0)
| join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f822]) ).
fof(f1831,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f848]) ).
fof(f1938,plain,
! [X0,X1] :
( below_refl(X1,sK114(X0,X1),sK115(X0,X1))
| ~ lattice(X1)
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ in(X0,a_1_0_filter_1(X1)) ),
inference(cnf_transformation,[],[f905]) ).
fof(f1939,plain,
! [X0,X1] :
( ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),sK114(X0,X1),sK115(X0,X1)) = X0
| ~ lattice(X1)
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ in(X0,a_1_0_filter_1(X1)) ),
inference(cnf_transformation,[],[f905]) ).
fof(f1940,plain,
! [X0,X1] :
( element(sK115(X0,X1),the_carrier(X1))
| ~ lattice(X1)
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ in(X0,a_1_0_filter_1(X1)) ),
inference(cnf_transformation,[],[f905]) ).
fof(f1941,plain,
! [X0,X1] :
( element(sK114(X0,X1),the_carrier(X1))
| ~ lattice(X1)
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ in(X0,a_1_0_filter_1(X1)) ),
inference(cnf_transformation,[],[f905]) ).
fof(f1942,plain,
! [X2,X3,X0,X1] :
( ~ latt_str(X1)
| ~ lattice(X1)
| empty_carrier(X1)
| ~ below_refl(X1,X2,X3)
| ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3) != X0
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| in(X0,a_1_0_filter_1(X1)) ),
inference(cnf_transformation,[],[f905]) ).
fof(f2089,plain,
! [X2,X3,X0,X1] :
( ~ element(X3,X1)
| ~ element(X2,X0)
| empty(X1)
| empty(X0)
| ordered_pair(X2,X3) = ordered_pair_as_product_element(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f946]) ).
fof(f2927,plain,
! [X2,X3,X0,X1] :
( in(X1,X3)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[],[f392]) ).
fof(f2928,plain,
! [X2,X3,X0,X1] :
( in(X0,X2)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[],[f392]) ).
fof(f2929,plain,
! [X2,X3,X0,X1] :
( ~ in(X1,X3)
| ~ in(X0,X2)
| in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[],[f392]) ).
fof(f3056,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f1166]) ).
fof(f3068,plain,
( below_refl(sK440,sK441,sK442)
| in(ordered_pair_as_product_element(the_carrier(sK440),the_carrier(sK440),sK441,sK442),relation_of_lattice(sK440)) ),
inference(cnf_transformation,[],[f1175]) ).
fof(f3069,plain,
( ~ below_refl(sK440,sK441,sK442)
| ~ in(ordered_pair_as_product_element(the_carrier(sK440),the_carrier(sK440),sK441,sK442),relation_of_lattice(sK440)) ),
inference(cnf_transformation,[],[f1175]) ).
fof(f3070,plain,
element(sK442,the_carrier(sK440)),
inference(cnf_transformation,[],[f1175]) ).
fof(f3071,plain,
element(sK441,the_carrier(sK440)),
inference(cnf_transformation,[],[f1175]) ).
fof(f3072,plain,
latt_str(sK440),
inference(cnf_transformation,[],[f1175]) ).
fof(f3073,plain,
lattice(sK440),
inference(cnf_transformation,[],[f1175]) ).
fof(f3074,plain,
~ empty_carrier(sK440),
inference(cnf_transformation,[],[f1175]) ).
fof(f3206,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f555]) ).
fof(f3255,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f1669,f3206]) ).
fof(f3295,plain,
! [X2,X0,X1] :
( X0 = X2
| ~ in(X2,X1)
| unordered_pair(X0,X0) != X1 ),
inference(definition_unfolding,[],[f1492,f3206]) ).
fof(f3441,plain,
! [X2,X3,X0,X1] :
( ordered_pair_as_product_element(X0,X1,X2,X3) = unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2))
| ~ element(X2,X0)
| empty(X1)
| empty(X0)
| ~ element(X3,X1) ),
inference(definition_unfolding,[],[f2089,f3255]) ).
fof(f3656,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) ),
inference(definition_unfolding,[],[f2929,f3255]) ).
fof(f3657,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(definition_unfolding,[],[f2928,f3255]) ).
fof(f3658,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(definition_unfolding,[],[f2927,f3255]) ).
fof(f3770,plain,
! [X2,X0] :
( ~ in(X2,unordered_pair(X0,X0))
| X0 = X2 ),
inference(equality_resolution,[],[f3295]) ).
fof(f3796,plain,
! [X2,X3,X0] :
( in(X3,X2)
| unordered_pair(X0,X3) != X2 ),
inference(equality_resolution,[],[f1545]) ).
fof(f3797,plain,
! [X3,X0] : in(X3,unordered_pair(X0,X3)),
inference(equality_resolution,[],[f3796]) ).
fof(f3840,plain,
! [X2,X3,X1] :
( in(ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3),a_1_0_filter_1(X1))
| ~ lattice(X1)
| empty_carrier(X1)
| ~ below_refl(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ latt_str(X1) ),
inference(equality_resolution,[],[f1942]) ).
fof(f4030,definition,
sF460 = the_carrier(sK440),
introduced(definition,[new_symbols(definition,[sF460])],[function_definition]) ).
fof(f4031,plain,
the_carrier(sK440) = sF460,
inference(reorient_equations,[],[f4030]) ).
fof(f4032,plain,
element(sK441,sF460),
inference(definition_folding,[],[f3071,f4031]) ).
fof(f4033,plain,
element(sK442,sF460),
inference(definition_folding,[],[f3070,f4031]) ).
fof(f4034,definition,
sF461 = ordered_pair_as_product_element(sF460,sF460,sK441,sK442),
introduced(definition,[new_symbols(definition,[sF461])],[function_definition]) ).
fof(f4035,plain,
ordered_pair_as_product_element(sF460,sF460,sK441,sK442) = sF461,
inference(reorient_equations,[],[f4034]) ).
fof(f4036,definition,
sF462 = relation_of_lattice(sK440),
introduced(definition,[new_symbols(definition,[sF462])],[function_definition]) ).
fof(f4037,plain,
relation_of_lattice(sK440) = sF462,
inference(reorient_equations,[],[f4036]) ).
fof(f4038,plain,
( ~ below_refl(sK440,sK441,sK442)
| ~ in(sF461,sF462) ),
inference(definition_folding,[],[f3069,f4037,f4035,f4031,f4031]) ).
fof(f4039,plain,
( below_refl(sK440,sK441,sK442)
| in(sF461,sF462) ),
inference(definition_folding,[],[f3068,f4037,f4035,f4031,f4031]) ).
fof(f4144,definition,
( spl463_1
<=> in(sF461,sF462) ),
introduced(definition,[new_symbols(definition,[spl463_1])],[avatar_definition]) ).
fof(f4145,plain,
( ~ in(sF461,sF462)
| spl463_1 ),
inference(avatar_component_clause,[],[f4144]) ).
fof(f4147,definition,
( spl463_2
<=> below_refl(sK440,sK441,sK442) ),
introduced(definition,[new_symbols(definition,[spl463_2])],[avatar_definition]) ).
fof(f4148,plain,
( ~ below_refl(sK440,sK441,sK442)
| spl463_2 ),
inference(avatar_component_clause,[],[f4147]) ).
fof(f4149,plain,
( ~ spl463_1
| ~ spl463_2 ),
inference(avatar_split_clause,[],[f4038,f4147,f4144]) ).
fof(f4150,plain,
( below_refl(sK440,sK441,sK442)
| spl463_1 ),
inference(backward_subsumption_resolution,[],[f4039,f4145]) ).
fof(f4154,plain,
! [X0,X1] :
( in(ordered_pair_as_product_element(sF460,sF460,X0,X1),a_1_0_filter_1(sK440))
| ~ lattice(sK440)
| empty_carrier(sK440)
| ~ below_refl(sK440,X0,X1)
| ~ element(X1,sF460)
| ~ element(X0,sF460)
| ~ latt_str(sK440) ),
inference(superposition,[],[f3840,f4031]) ).
fof(f4158,plain,
! [X0,X1] :
( in(ordered_pair_as_product_element(sF460,sF460,X0,X1),a_1_0_filter_1(sK440))
| empty_carrier(sK440)
| ~ below_refl(sK440,X0,X1)
| ~ element(X1,sF460)
| ~ element(X0,sF460)
| ~ latt_str(sK440) ),
inference(forward_subsumption_resolution,[],[f4154,f3073]) ).
fof(f4159,plain,
! [X0,X1] :
( in(ordered_pair_as_product_element(sF460,sF460,X0,X1),a_1_0_filter_1(sK440))
| ~ below_refl(sK440,X0,X1)
| ~ element(X1,sF460)
| ~ element(X0,sF460)
| ~ latt_str(sK440) ),
inference(forward_subsumption_resolution,[],[f4158,f3074]) ).
fof(f4160,plain,
! [X0,X1] :
( in(ordered_pair_as_product_element(sF460,sF460,X0,X1),a_1_0_filter_1(sK440))
| ~ below_refl(sK440,X0,X1)
| ~ element(X1,sF460)
| ~ element(X0,sF460) ),
inference(forward_subsumption_resolution,[],[f4159,f3072]) ).
fof(f4161,plain,
( in(sF461,a_1_0_filter_1(sK440))
| ~ below_refl(sK440,sK441,sK442)
| ~ element(sK442,sF460)
| ~ element(sK441,sF460) ),
inference(superposition,[],[f4160,f4035]) ).
fof(f4162,plain,
( in(sF461,a_1_0_filter_1(sK440))
| ~ element(sK442,sF460)
| ~ element(sK441,sF460)
| spl463_1 ),
inference(forward_subsumption_resolution,[],[f4161,f4150]) ).
fof(f4163,plain,
( in(sF461,a_1_0_filter_1(sK440))
| ~ element(sK441,sF460)
| spl463_1 ),
inference(forward_subsumption_resolution,[],[f4162,f4033]) ).
fof(f4164,plain,
( in(sF461,a_1_0_filter_1(sK440))
| spl463_1 ),
inference(forward_subsumption_resolution,[],[f4163,f4032]) ).
fof(f4165,plain,
( sF462 = a_1_0_filter_1(sK440)
| ~ lattice(sK440)
| empty_carrier(sK440)
| ~ latt_str(sK440) ),
inference(superposition,[],[f1707,f4037]) ).
fof(f4166,plain,
( sF462 = a_1_0_filter_1(sK440)
| empty_carrier(sK440)
| ~ latt_str(sK440) ),
inference(forward_subsumption_resolution,[],[f4165,f3073]) ).
fof(f4167,plain,
( sF462 = a_1_0_filter_1(sK440)
| ~ latt_str(sK440) ),
inference(forward_subsumption_resolution,[],[f4166,f3074]) ).
fof(f4168,plain,
sF462 = a_1_0_filter_1(sK440),
inference(forward_subsumption_resolution,[],[f4167,f3072]) ).
fof(f4169,plain,
( in(sF461,sF462)
| spl463_1 ),
inference(superposition,[],[f4164,f4168]) ).
fof(f4171,plain,
( $false
| spl463_1 ),
inference(forward_subsumption_resolution,[],[f4169,f4145]) ).
fof(f4172,plain,
spl463_1,
inference(avatar_contradiction_clause,[],[f4171]) ).
fof(f4173,plain,
( in(sF461,sF462)
| spl463_2 ),
inference(forward_subsumption_resolution,[],[f4039,f4148]) ).
fof(f4174,plain,
( ~ empty(sF460)
| empty_carrier(sK440)
| ~ one_sorted_str(sK440) ),
inference(superposition,[],[f1831,f4031]) ).
fof(f4175,plain,
( ~ empty(sF460)
| ~ one_sorted_str(sK440) ),
inference(forward_subsumption_resolution,[],[f4174,f3074]) ).
fof(f4182,plain,
join_semilatt_str(sK440),
inference(resolution,[],[f1776,f3072]) ).
fof(f4194,plain,
! [X0] :
( ordered_pair_as_product_element(sF460,sF460,sK114(X0,sK440),sK115(X0,sK440)) = X0
| ~ lattice(sK440)
| empty_carrier(sK440)
| ~ latt_str(sK440)
| ~ in(X0,a_1_0_filter_1(sK440)) ),
inference(superposition,[],[f1939,f4031]) ).
fof(f4197,plain,
! [X0] :
( ordered_pair_as_product_element(sF460,sF460,sK114(X0,sK440),sK115(X0,sK440)) = X0
| empty_carrier(sK440)
| ~ latt_str(sK440)
| ~ in(X0,a_1_0_filter_1(sK440)) ),
inference(forward_subsumption_resolution,[],[f4194,f3073]) ).
fof(f4198,plain,
! [X0] :
( ordered_pair_as_product_element(sF460,sF460,sK114(X0,sK440),sK115(X0,sK440)) = X0
| ~ latt_str(sK440)
| ~ in(X0,a_1_0_filter_1(sK440)) ),
inference(forward_subsumption_resolution,[],[f4197,f3074]) ).
fof(f4199,plain,
! [X0] :
( ordered_pair_as_product_element(sF460,sF460,sK114(X0,sK440),sK115(X0,sK440)) = X0
| ~ in(X0,a_1_0_filter_1(sK440)) ),
inference(forward_subsumption_resolution,[],[f4198,f3072]) ).
fof(f4200,plain,
! [X0] :
( ordered_pair_as_product_element(sF460,sF460,sK114(X0,sK440),sK115(X0,sK440)) = X0
| ~ in(X0,sF462) ),
inference(forward_demodulation,[],[f4199,f4168]) ).
fof(f4230,plain,
! [X0] :
( element(sK115(X0,sK440),sF460)
| ~ lattice(sK440)
| empty_carrier(sK440)
| ~ latt_str(sK440)
| ~ in(X0,a_1_0_filter_1(sK440)) ),
inference(superposition,[],[f1940,f4031]) ).
fof(f4231,plain,
! [X0] :
( element(sK115(X0,sK440),sF460)
| empty_carrier(sK440)
| ~ latt_str(sK440)
| ~ in(X0,a_1_0_filter_1(sK440)) ),
inference(forward_subsumption_resolution,[],[f4230,f3073]) ).
fof(f4232,plain,
! [X0] :
( element(sK115(X0,sK440),sF460)
| ~ latt_str(sK440)
| ~ in(X0,a_1_0_filter_1(sK440)) ),
inference(forward_subsumption_resolution,[],[f4231,f3074]) ).
fof(f4233,plain,
! [X0] :
( element(sK115(X0,sK440),sF460)
| ~ in(X0,a_1_0_filter_1(sK440)) ),
inference(forward_subsumption_resolution,[],[f4232,f3072]) ).
fof(f4234,plain,
! [X0] :
( element(sK115(X0,sK440),sF460)
| ~ in(X0,sF462) ),
inference(forward_demodulation,[],[f4233,f4168]) ).
fof(f4236,plain,
! [X0] :
( element(sK114(X0,sK440),sF460)
| ~ lattice(sK440)
| empty_carrier(sK440)
| ~ latt_str(sK440)
| ~ in(X0,a_1_0_filter_1(sK440)) ),
inference(superposition,[],[f1941,f4031]) ).
fof(f4237,plain,
! [X0] :
( element(sK114(X0,sK440),sF460)
| empty_carrier(sK440)
| ~ latt_str(sK440)
| ~ in(X0,a_1_0_filter_1(sK440)) ),
inference(forward_subsumption_resolution,[],[f4236,f3073]) ).
fof(f4238,plain,
! [X0] :
( element(sK114(X0,sK440),sF460)
| ~ latt_str(sK440)
| ~ in(X0,a_1_0_filter_1(sK440)) ),
inference(forward_subsumption_resolution,[],[f4237,f3074]) ).
fof(f4239,plain,
! [X0] :
( element(sK114(X0,sK440),sF460)
| ~ in(X0,a_1_0_filter_1(sK440)) ),
inference(forward_subsumption_resolution,[],[f4238,f3072]) ).
fof(f4240,plain,
! [X0] :
( element(sK114(X0,sK440),sF460)
| ~ in(X0,sF462) ),
inference(forward_demodulation,[],[f4239,f4168]) ).
fof(f4243,plain,
( in(sK441,sF460)
| empty(sF460) ),
inference(resolution,[],[f3056,f4032]) ).
fof(f4244,plain,
( in(sK442,sF460)
| empty(sF460) ),
inference(resolution,[],[f3056,f4033]) ).
fof(f4311,plain,
one_sorted_str(sK440),
inference(resolution,[],[f1775,f4182]) ).
fof(f4320,plain,
~ empty(sF460),
inference(backward_subsumption_resolution,[],[f4175,f4311]) ).
fof(f4324,plain,
in(sK441,sF460),
inference(backward_subsumption_resolution,[],[f4243,f4320]) ).
fof(f4325,plain,
in(sK442,sF460),
inference(backward_subsumption_resolution,[],[f4244,f4320]) ).
fof(f4774,plain,
! [X2,X3,X0,X1,X4,X5] :
( in(ordered_pair_as_product_element(X0,X1,X2,X3),cartesian_product2(X4,X5))
| ~ in(X2,X4)
| ~ in(X3,X5)
| ~ element(X2,X0)
| empty(X1)
| empty(X0)
| ~ element(X3,X1) ),
inference(superposition,[],[f3656,f3441]) ).
fof(f4781,plain,
! [X0,X1] :
( in(sF461,cartesian_product2(X0,X1))
| ~ in(sK441,X0)
| ~ in(sK442,X1)
| ~ element(sK441,sF460)
| empty(sF460)
| empty(sF460)
| ~ element(sK442,sF460) ),
inference(superposition,[],[f4774,f4035]) ).
fof(f4788,plain,
! [X0,X1] :
( in(sF461,cartesian_product2(X0,X1))
| ~ in(sK441,X0)
| ~ in(sK442,X1)
| ~ element(sK441,sF460)
| empty(sF460)
| ~ element(sK442,sF460) ),
inference(duplicate_literal_removal,[],[f4781]) ).
fof(f4793,plain,
! [X0,X1] :
( in(sF461,cartesian_product2(X0,X1))
| ~ in(sK441,X0)
| ~ in(sK442,X1)
| empty(sF460)
| ~ element(sK442,sF460) ),
inference(forward_subsumption_resolution,[],[f4788,f4032]) ).
fof(f4796,plain,
! [X0,X1] :
( in(sF461,cartesian_product2(X0,X1))
| ~ in(sK441,X0)
| ~ in(sK442,X1)
| ~ element(sK442,sF460) ),
inference(forward_subsumption_resolution,[],[f4793,f4320]) ).
fof(f4799,plain,
! [X0,X1] :
( in(sF461,cartesian_product2(X0,X1))
| ~ in(sK441,X0)
| ~ in(sK442,X1) ),
inference(forward_subsumption_resolution,[],[f4796,f4033]) ).
fof(f6822,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ in(ordered_pair_as_product_element(X0,X1,X2,X3),cartesian_product2(X4,X5))
| in(X2,X4)
| ~ element(X2,X0)
| empty(X1)
| empty(X0)
| ~ element(X3,X1) ),
inference(superposition,[],[f3657,f3441]) ).
fof(f6844,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X2))
| in(sK114(X0,sK440),X1)
| ~ element(sK114(X0,sK440),sF460)
| empty(sF460)
| empty(sF460)
| ~ element(sK115(X0,sK440),sF460)
| ~ in(X0,sF462) ),
inference(superposition,[],[f6822,f4200]) ).
fof(f6861,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X2))
| in(sK114(X0,sK440),X1)
| ~ element(sK114(X0,sK440),sF460)
| empty(sF460)
| ~ element(sK115(X0,sK440),sF460)
| ~ in(X0,sF462) ),
inference(duplicate_literal_removal,[],[f6844]) ).
fof(f6867,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X2))
| in(sK114(X0,sK440),X1)
| empty(sF460)
| ~ element(sK115(X0,sK440),sF460)
| ~ in(X0,sF462) ),
inference(forward_subsumption_resolution,[],[f6861,f4240]) ).
fof(f6869,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X2))
| in(sK114(X0,sK440),X1)
| empty(sF460)
| ~ in(X0,sF462) ),
inference(forward_subsumption_resolution,[],[f6867,f4234]) ).
fof(f6871,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X2))
| in(sK114(X0,sK440),X1)
| ~ in(X0,sF462) ),
inference(forward_subsumption_resolution,[],[f6869,f4320]) ).
fof(f6893,plain,
! [X0,X1] :
( in(sK114(sF461,sK440),X0)
| ~ in(sF461,sF462)
| ~ in(sK441,X0)
| ~ in(sK442,X1) ),
inference(resolution,[],[f6871,f4799]) ).
fof(f6906,plain,
( ! [X0,X1] :
( in(sK114(sF461,sK440),X0)
| ~ in(sK441,X0)
| ~ in(sK442,X1) )
| spl463_2 ),
inference(forward_subsumption_resolution,[],[f6893,f4173]) ).
fof(f6915,definition,
( spl463_16
<=> ! [X1] : ~ in(sK442,X1) ),
introduced(definition,[new_symbols(definition,[spl463_16])],[avatar_definition]) ).
fof(f6916,plain,
( ! [X1] : ~ in(sK442,X1)
| ~ spl463_16 ),
inference(avatar_component_clause,[],[f6915]) ).
fof(f6918,definition,
( spl463_17
<=> ! [X0] :
( in(sK114(sF461,sK440),X0)
| ~ in(sK441,X0) ) ),
introduced(definition,[new_symbols(definition,[spl463_17])],[avatar_definition]) ).
fof(f6919,plain,
( ! [X0] :
( in(sK114(sF461,sK440),X0)
| ~ in(sK441,X0) )
| ~ spl463_17 ),
inference(avatar_component_clause,[],[f6918]) ).
fof(f6920,plain,
( spl463_16
| spl463_17
| spl463_2 ),
inference(avatar_split_clause,[],[f6906,f4147,f6918,f6915]) ).
fof(f6928,plain,
( $false
| ~ spl463_16 ),
inference(backward_subsumption_resolution,[],[f4325,f6916]) ).
fof(f6929,plain,
~ spl463_16,
inference(avatar_contradiction_clause,[],[f6928]) ).
fof(f6938,plain,
( ! [X0] :
( ~ in(sK441,unordered_pair(X0,X0))
| sK114(sF461,sK440) = X0 )
| ~ spl463_17 ),
inference(resolution,[],[f6919,f3770]) ).
fof(f7102,plain,
( sK441 = sK114(sF461,sK440)
| ~ spl463_17 ),
inference(resolution,[],[f6938,f3797]) ).
fof(f7539,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ in(ordered_pair_as_product_element(X0,X1,X2,X3),cartesian_product2(X4,X5))
| in(X3,X5)
| ~ element(X2,X0)
| empty(X1)
| empty(X0)
| ~ element(X3,X1) ),
inference(superposition,[],[f3658,f3441]) ).
fof(f7563,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X2))
| in(sK115(X0,sK440),X2)
| ~ element(sK114(X0,sK440),sF460)
| empty(sF460)
| empty(sF460)
| ~ element(sK115(X0,sK440),sF460)
| ~ in(X0,sF462) ),
inference(superposition,[],[f7539,f4200]) ).
fof(f7580,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X2))
| in(sK115(X0,sK440),X2)
| ~ element(sK114(X0,sK440),sF460)
| empty(sF460)
| ~ element(sK115(X0,sK440),sF460)
| ~ in(X0,sF462) ),
inference(duplicate_literal_removal,[],[f7563]) ).
fof(f7587,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X2))
| in(sK115(X0,sK440),X2)
| empty(sF460)
| ~ element(sK115(X0,sK440),sF460)
| ~ in(X0,sF462) ),
inference(forward_subsumption_resolution,[],[f7580,f4240]) ).
fof(f7590,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X2))
| in(sK115(X0,sK440),X2)
| empty(sF460)
| ~ in(X0,sF462) ),
inference(forward_subsumption_resolution,[],[f7587,f4234]) ).
fof(f7593,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X2))
| in(sK115(X0,sK440),X2)
| ~ in(X0,sF462) ),
inference(forward_subsumption_resolution,[],[f7590,f4320]) ).
fof(f7619,plain,
! [X0,X1] :
( in(sK115(sF461,sK440),X0)
| ~ in(sF461,sF462)
| ~ in(sK441,X1)
| ~ in(sK442,X0) ),
inference(resolution,[],[f7593,f4799]) ).
fof(f7634,plain,
( ! [X0,X1] :
( in(sK115(sF461,sK440),X0)
| ~ in(sK441,X1)
| ~ in(sK442,X0) )
| spl463_2 ),
inference(forward_subsumption_resolution,[],[f7619,f4173]) ).
fof(f7644,definition,
( spl463_28
<=> ! [X1] : ~ in(sK441,X1) ),
introduced(definition,[new_symbols(definition,[spl463_28])],[avatar_definition]) ).
fof(f7645,plain,
( ! [X1] : ~ in(sK441,X1)
| ~ spl463_28 ),
inference(avatar_component_clause,[],[f7644]) ).
fof(f7647,definition,
( spl463_29
<=> ! [X0] :
( in(sK115(sF461,sK440),X0)
| ~ in(sK442,X0) ) ),
introduced(definition,[new_symbols(definition,[spl463_29])],[avatar_definition]) ).
fof(f7648,plain,
( ! [X0] :
( in(sK115(sF461,sK440),X0)
| ~ in(sK442,X0) )
| ~ spl463_29 ),
inference(avatar_component_clause,[],[f7647]) ).
fof(f7649,plain,
( spl463_28
| spl463_29
| spl463_2 ),
inference(avatar_split_clause,[],[f7634,f4147,f7647,f7644]) ).
fof(f7660,plain,
( $false
| ~ spl463_28 ),
inference(backward_subsumption_resolution,[],[f4324,f7645]) ).
fof(f7664,plain,
~ spl463_28,
inference(avatar_contradiction_clause,[],[f7660]) ).
fof(f7682,plain,
( ! [X0] :
( ~ in(sK442,unordered_pair(X0,X0))
| sK115(sF461,sK440) = X0 )
| ~ spl463_29 ),
inference(resolution,[],[f7648,f3770]) ).
fof(f7779,plain,
( sK442 = sK115(sF461,sK440)
| ~ spl463_29 ),
inference(resolution,[],[f7682,f3797]) ).
fof(f7802,plain,
( below_refl(sK440,sK114(sF461,sK440),sK442)
| ~ lattice(sK440)
| empty_carrier(sK440)
| ~ latt_str(sK440)
| ~ in(sF461,a_1_0_filter_1(sK440))
| ~ spl463_29 ),
inference(superposition,[],[f1938,f7779]) ).
fof(f7803,plain,
( below_refl(sK440,sK114(sF461,sK440),sK442)
| empty_carrier(sK440)
| ~ latt_str(sK440)
| ~ in(sF461,a_1_0_filter_1(sK440))
| ~ spl463_29 ),
inference(forward_subsumption_resolution,[],[f7802,f3073]) ).
fof(f7813,plain,
( below_refl(sK440,sK114(sF461,sK440),sK442)
| ~ latt_str(sK440)
| ~ in(sF461,a_1_0_filter_1(sK440))
| ~ spl463_29 ),
inference(forward_subsumption_resolution,[],[f7803,f3074]) ).
fof(f7821,plain,
( below_refl(sK440,sK114(sF461,sK440),sK442)
| ~ in(sF461,a_1_0_filter_1(sK440))
| ~ spl463_29 ),
inference(forward_subsumption_resolution,[],[f7813,f3072]) ).
fof(f7826,plain,
( below_refl(sK440,sK441,sK442)
| ~ in(sF461,a_1_0_filter_1(sK440))
| ~ spl463_17
| ~ spl463_29 ),
inference(forward_demodulation,[],[f7821,f7102]) ).
fof(f7830,plain,
( ~ in(sF461,a_1_0_filter_1(sK440))
| spl463_2
| ~ spl463_17
| ~ spl463_29 ),
inference(forward_subsumption_resolution,[],[f7826,f4148]) ).
fof(f7832,plain,
( ~ in(sF461,sF462)
| spl463_2
| ~ spl463_17
| ~ spl463_29 ),
inference(forward_demodulation,[],[f7830,f4168]) ).
fof(f7834,plain,
( $false
| spl463_2
| ~ spl463_17
| ~ spl463_29 ),
inference(forward_subsumption_resolution,[],[f7832,f4173]) ).
fof(f7835,plain,
( spl463_2
| ~ spl463_17
| ~ spl463_29 ),
inference(avatar_contradiction_clause,[],[f7834]) ).
cnf(s1848,plain,
( ~ spl463_1
| ~ spl463_2 ),
inference(sat_conversion,[],[f4149]) ).
cnf(s1860,plain,
spl463_1,
inference(sat_conversion,[],[f4172]) ).
cnf(s3041,plain,
( spl463_2
| spl463_16
| spl463_17 ),
inference(sat_conversion,[],[f6920]) ).
cnf(s3043,plain,
~ spl463_16,
inference(sat_conversion,[],[f6929]) ).
cnf(s3344,plain,
( spl463_2
| spl463_28
| spl463_29 ),
inference(sat_conversion,[],[f7649]) ).
cnf(s3349,plain,
~ spl463_28,
inference(sat_conversion,[],[f7664]) ).
cnf(s3431,plain,
( spl463_2
| ~ spl463_17
| ~ spl463_29 ),
inference(sat_conversion,[],[f7835]) ).
cnf(s3433,plain,
( spl463_2
| spl463_29 ),
inference(rat,[],[s3344,s3349]) ).
cnf(s3436,plain,
( spl463_2
| spl463_17 ),
inference(rat,[],[s3041,s3043]) ).
cnf(s3443,plain,
~ spl463_2,
inference(rat,[],[s1848,s1860]) ).
cnf(s3445,plain,
spl463_29,
inference(rat,[],[s3433,s3443]) ).
cnf(s3447,plain,
spl463_17,
inference(rat,[],[s3436,s3443]) ).
cnf(s3449,plain,
$false,
inference(rat,[],[s3431,s3443,s3445,s3447]) ).
fof(f7836,plain,
$false,
inference(avatar_sat_refutation,[],[s3449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU342+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n004.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 04:48:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.77/2.18 % (4158002)Detected formulas, will run a generic FOF schedule.
% 10.77/2.18 % (4158012)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3233709819:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.77/2.18 % (4158011)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2502740376:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.77/2.18 % (4158010)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3214235549:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.77/2.18 % (4158007)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=913650387:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.77/2.18 % (4158008)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=1861525939:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.77/2.18 % (4158013)dis-21_1_sil=8000:lcm=predicate:random_seed=772479454: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)
% 10.77/2.18 % (4158009)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=2602084395:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.77/2.18 % (4158010)Instruction limit reached!
% 10.77/2.18 % (4158010)------------------------------
% 10.77/2.18 % (4158010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.18 % (4158010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.18 % (4158010)CaDiCaL version: 2.1.3
% 10.77/2.18 % (4158010)Termination reason: Instruction limit
% 10.77/2.18 % (4158010)Termination phase: Saturation
% 10.77/2.18 % (4158010)Time elapsed: 0.057 s
% 10.77/2.18 % (4158010)Peak memory usage: 91 MB
% 10.77/2.18 % (4158010)Instructions burned: 109 (million)
% 10.77/2.18 % (4158013)Instruction limit reached!
% 10.77/2.18 % (4158013)------------------------------
% 10.77/2.18 % (4158013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.18 % (4158013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.18 % (4158013)CaDiCaL version: 2.1.3
% 10.77/2.18 % (4158013)Termination reason: Instruction limit
% 10.77/2.18 % (4158013)Termination phase: Saturation
% 10.77/2.18 % (4158013)Time elapsed: 0.064 s
% 10.77/2.18 % (4158013)Peak memory usage: 91 MB
% 10.77/2.18 % (4158013)Instructions burned: 130 (million)
% 10.77/2.18 % (4158011)Instruction limit reached!
% 10.77/2.18 % (4158011)------------------------------
% 10.77/2.18 % (4158011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.18 % (4158011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.18 % (4158011)CaDiCaL version: 2.1.3
% 10.77/2.18 % (4158011)Termination reason: Instruction limit
% 10.77/2.18 % (4158011)Termination phase: Saturation
% 10.77/2.18 % (4158011)Time elapsed: 0.074 s
% 10.77/2.18 % (4158011)Peak memory usage: 91 MB
% 10.77/2.18 % (4158011)Instructions burned: 119 (million)
% 10.77/2.18 % (4158012)Instruction limit reached!
% 10.77/2.18 % (4158012)------------------------------
% 10.77/2.18 % (4158012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.18 % (4158012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.18 % (4158012)CaDiCaL version: 2.1.3
% 10.77/2.18 % (4158012)Termination reason: Instruction limit
% 10.77/2.18 % (4158012)Termination phase: Saturation
% 10.77/2.18 % (4158012)Time elapsed: 0.087 s
% 10.77/2.18 % (4158012)Peak memory usage: 92 MB
% 10.77/2.18 % (4158012)Instructions burned: 139 (million)
% 10.77/2.18 % (4158021)lrs+10_1_sil=8000:sp=occurrence:random_seed=1439210095:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.77/2.18 % (4158022)lrs+10_1_sil=32000:urr=on:br=off:random_seed=440588321:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.77/2.18 % (4158023)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1815733432:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.77/2.18 % (4158024)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=312837979:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.77/2.18 % (4158022)Instruction limit reached!
% 14.49/2.72 % (4158022)------------------------------
% 14.49/2.72 % (4158022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.49/2.72 % (4158022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.49/2.72 % (4158022)CaDiCaL version: 2.1.3
% 14.49/2.72 % (4158022)Termination reason: Instruction limit
% 14.49/2.72 % (4158022)Termination phase: Saturation
% 14.49/2.72 % (4158022)Time elapsed: 0.081 s
% 14.49/2.72 % (4158022)Peak memory usage: 90 MB
% 14.49/2.72 % (4158022)Instructions burned: 158 (million)
% 14.49/2.72 % (4158024)Instruction limit reached!
% 14.49/2.72 % (4158024)------------------------------
% 14.49/2.72 % (4158024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.49/2.72 % (4158024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.49/2.72 % (4158024)CaDiCaL version: 2.1.3
% 14.49/2.72 % (4158024)Termination reason: Instruction limit
% 14.49/2.72 % (4158024)Termination phase: Saturation
% 14.49/2.72 % (4158024)Time elapsed: 0.098 s
% 14.49/2.72 % (4158024)Peak memory usage: 94 MB
% 14.49/2.72 % (4158024)Instructions burned: 251 (million)
% 14.49/2.72 % (4158021)Instruction limit reached!
% 14.49/2.72 % (4158021)------------------------------
% 14.49/2.72 % (4158021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.49/2.72 % (4158021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.49/2.72 % (4158021)CaDiCaL version: 2.1.3
% 14.49/2.72 % (4158021)Termination reason: Instruction limit
% 14.49/2.72 % (4158021)Termination phase: Saturation
% 14.49/2.72 % (4158021)Time elapsed: 0.180 s
% 14.49/2.72 % (4158021)Peak memory usage: 95 MB
% 14.49/2.72 % (4158021)Instructions burned: 287 (million)
% 14.49/2.72 % (4158030)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2183881829:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 14.49/2.72 % (4158029)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2407923075:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 14.49/2.72 % (4158023)Instruction limit reached!
% 14.49/2.72 % (4158023)------------------------------
% 14.49/2.72 % (4158023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.49/2.72 % (4158023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.49/2.72 % (4158023)CaDiCaL version: 2.1.3
% 14.49/2.72 % (4158023)Termination reason: Instruction limit
% 14.49/2.72 % (4158023)Termination phase: Saturation
% 14.49/2.72 % (4158023)Time elapsed: 0.220 s
% 14.49/2.72 % (4158023)Peak memory usage: 95 MB
% 14.49/2.72 % (4158023)Instructions burned: 326 (million)
% 14.49/2.72 % (4158031)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=290732065:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 14.49/2.72 % (4158034)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=703045726:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 14.49/2.72 % (4158031)Instruction limit reached!
% 14.49/2.72 % (4158031)------------------------------
% 14.49/2.72 % (4158031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.49/2.72 % (4158031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.49/2.72 % (4158031)CaDiCaL version: 2.1.3
% 14.49/2.72 % (4158031)Termination reason: Instruction limit
% 14.49/2.72 % (4158031)Termination phase: Saturation
% 14.49/2.72 % (4158031)Time elapsed: 0.064 s
% 14.49/2.72 % (4158031)Peak memory usage: 92 MB
% 14.49/2.72 % (4158031)Instructions burned: 114 (million)
% 14.49/2.72 % (4158029)Instruction limit reached!
% 14.49/2.72 % (4158029)------------------------------
% 14.49/2.72 % (4158029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.49/2.72 % (4158029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.49/2.72 % (4158029)CaDiCaL version: 2.1.3
% 14.49/2.72 % (4158029)Termination reason: Instruction limit
% 14.49/2.72 % (4158029)Termination phase: Saturation
% 14.49/2.72 % (4158029)Time elapsed: 0.185 s
% 14.49/2.72 % (4158029)Peak memory usage: 93 MB
% 14.49/2.72 % (4158029)Instructions burned: 295 (million)
% 14.49/2.72 % (4158034)Instruction limit reached!
% 14.49/2.72 % (4158034)------------------------------
% 14.49/2.72 % (4158034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.49/2.72 % (4158034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.49/2.72 % (4158034)CaDiCaL version: 2.1.3
% 14.49/2.72 % (4158034)Termination reason: Instruction limit
% 14.49/2.72 % (4158034)Termination phase: Saturation
% 8.14/4.04 % (4158034)Time elapsed: 0.070 s
% 8.14/4.04 % (4158034)Peak memory usage: 91 MB
% 8.14/4.04 % (4158034)Instructions burned: 128 (million)
% 8.14/4.04 % (4158037)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2092106487:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.14/4.04 % (4158038)lrs+10_1_sil=8000:sp=occurrence:random_seed=691401309:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.14/4.04 % (4158037)Instruction limit reached!
% 8.14/4.04 % (4158037)------------------------------
% 8.14/4.04 % (4158037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.14/4.04 % (4158037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/4.04 % (4158037)CaDiCaL version: 2.1.3
% 8.14/4.04 % (4158037)Termination reason: Instruction limit
% 8.14/4.04 % (4158037)Termination phase: Saturation
% 8.14/4.04 % (4158037)Time elapsed: 0.056 s
% 8.14/4.04 % (4158037)Peak memory usage: 90 MB
% 8.14/4.04 % (4158037)Instructions burned: 116 (million)
% 8.14/4.04 % (4158039)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1085330355:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.14/4.04 % (4158042)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=854132252:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.14/4.04 % (4158039)Instruction limit reached!
% 8.14/4.04 % (4158039)------------------------------
% 8.14/4.04 % (4158039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.14/4.04 % (4158039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/4.04 % (4158039)CaDiCaL version: 2.1.3
% 8.14/4.04 % (4158039)Termination reason: Instruction limit
% 8.14/4.04 % (4158039)Termination phase: Saturation
% 8.14/4.04 % (4158039)Time elapsed: 0.269 s
% 8.14/4.04 % (4158039)Peak memory usage: 95 MB
% 8.14/4.04 % (4158039)Instructions burned: 437 (million)
% 8.14/4.04 % (4158045)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2260695585:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 8.14/4.04 % (4158030)Instruction limit reached!
% 8.14/4.04 % (4158030)------------------------------
% 8.14/4.04 % (4158030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.14/4.04 % (4158030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/4.04 % (4158030)CaDiCaL version: 2.1.3
% 8.14/4.04 % (4158030)Termination reason: Instruction limit
% 8.14/4.04 % (4158030)Termination phase: Saturation
% 8.14/4.04 % (4158030)Time elapsed: 0.798 s
% 8.14/4.04 % (4158030)Peak memory usage: 152 MB
% 8.14/4.04 % (4158030)Instructions burned: 2351 (million)
% 8.14/4.04 % (4158045)Instruction limit reached!
% 8.14/4.04 % (4158045)------------------------------
% 8.14/4.04 % (4158045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.14/4.04 % (4158045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/4.04 % (4158045)CaDiCaL version: 2.1.3
% 8.14/4.04 % (4158045)Termination reason: Instruction limit
% 8.14/4.04 % (4158045)Termination phase: Saturation
% 8.14/4.04 % (4158045)Time elapsed: 0.071 s
% 8.14/4.04 % (4158045)Peak memory usage: 92 MB
% 8.14/4.04 % (4158045)Instructions burned: 135 (million)
% 8.14/4.04 % (4158047)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3418651658:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 8.14/4.04 % (4158038)Instruction limit reached!
% 8.14/4.04 % (4158038)------------------------------
% 8.14/4.04 % (4158038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.14/4.04 % (4158038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/4.04 % (4158038)CaDiCaL version: 2.1.3
% 8.14/4.04 % (4158038)Termination reason: Instruction limit
% 8.14/4.04 % (4158038)Termination phase: Saturation
% 8.14/4.04 % (4158038)Time elapsed: 0.569 s
% 8.14/4.04 % (4158038)Peak memory usage: 105 MB
% 8.14/4.04 % (4158038)Instructions burned: 908 (million)
% 8.14/4.04 % (4158048)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2201166379:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 8.14/4.04 % (4158050)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=1655900791:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 8.14/4.04 % (4158047)Instruction limit reached!
% 8.14/4.04 % (4158047)------------------------------
% 8.14/4.04 % (4158047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.14/4.04 % (4158047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/4.04 % (4158047)CaDiCaL version: 2.1.3
% 8.14/4.04 % (4158047)Termination reason: Instruction limit
% 8.14/4.04 % (4158047)Termination phase: Saturation
% 8.14/4.04 % (4158047)Time elapsed: 0.193 s
% 8.14/4.04 % (4158047)Peak memory usage: 99 MB
% 8.14/4.04 % (4158047)Instructions burned: 592 (million)
% 8.14/4.04 % (4158050)Instruction limit reached!
% 8.14/4.04 % (4158050)------------------------------
% 8.14/4.04 % (4158050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.14/4.04 % (4158050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/4.04 % (4158050)CaDiCaL version: 2.1.3
% 8.14/4.04 % (4158050)Termination reason: Instruction limit
% 8.14/4.04 % (4158050)Termination phase: Saturation
% 8.14/4.04 % (4158050)Time elapsed: 0.077 s
% 8.14/4.04 % (4158050)Peak memory usage: 92 MB
% 8.14/4.04 % (4158050)Instructions burned: 125 (million)
% 8.14/4.04 % (4158053)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3569822771:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 8.14/4.04 % (4158053)Instruction limit reached!
% 8.14/4.04 % (4158053)------------------------------
% 8.14/4.04 % (4158053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.14/4.04 % (4158053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/4.04 % (4158053)CaDiCaL version: 2.1.3
% 8.14/4.04 % (4158053)Termination reason: Instruction limit
% 8.14/4.04 % (4158053)Termination phase: Saturation
% 8.14/4.04 % (4158053)Time elapsed: 0.039 s
% 8.14/4.04 % (4158053)Peak memory usage: 92 MB
% 8.14/4.04 % (4158053)Instructions burned: 135 (million)
% 8.14/4.04 % (4158054)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=210435810:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/141Mi)
% 8.14/4.04 % (4158056)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2708842995:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2982 on theBenchmark for (2982ds/431Mi)
% 8.14/4.04 % (4158054)Instruction limit reached!
% 8.14/4.04 % (4158054)------------------------------
% 8.14/4.04 % (4158054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.14/4.04 % (4158054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/4.04 % (4158054)CaDiCaL version: 2.1.3
% 8.14/4.04 % (4158054)Termination reason: Instruction limit
% 8.14/4.04 % (4158054)Termination phase: Saturation
% 8.14/4.04 % (4158054)Time elapsed: 0.075 s
% 8.14/4.04 % (4158054)Peak memory usage: 92 MB
% 8.14/4.04 % (4158054)Instructions burned: 142 (million)
% 8.14/4.04 % (4158059)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2452900107:i=6060:aac=none:ins=25_2981 on theBenchmark for (2981ds/6060Mi)
% 8.14/4.04 % (4158056)Instruction limit reached!
% 8.14/4.04 % (4158056)------------------------------
% 8.14/4.04 % (4158056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.14/4.04 % (4158056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/4.04 % (4158056)CaDiCaL version: 2.1.3
% 8.14/4.04 % (4158056)Termination reason: Instruction limit
% 8.14/4.04 % (4158056)Termination phase: Saturation
% 8.14/4.04 % (4158056)Time elapsed: 0.141 s
% 8.14/4.04 % (4158056)Peak memory usage: 95 MB
% 8.14/4.04 % (4158056)Instructions burned: 434 (million)
% 8.14/4.04 % (4158061)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=332079293:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2980 on theBenchmark for (2980ds/150Mi)
% 8.14/4.04 % (4158061)Instruction limit reached!
% 8.14/4.04 % (4158061)------------------------------
% 8.14/4.04 % (4158061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.14/4.04 % (4158061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/4.04 % (4158061)CaDiCaL version: 2.1.3
% 8.14/4.04 % (4158061)Termination reason: Instruction limit
% 8.14/4.04 % (4158061)Termination phase: Saturation
% 8.14/4.04 % (4158061)Time elapsed: 0.046 s
% 8.14/4.04 % (4158061)Peak memory usage: 92 MB
% 8.14/4.04 % (4158061)Instructions burned: 153 (million)
% 8.14/4.04 % (4158063)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1438018207:i=14155:bd=all_2978 on theBenchmark for (2978ds/14155Mi)
% 8.14/4.04 % (4158059)First to succeed.
% 8.14/4.04 % (4158059)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4158002"
% 8.14/4.04 % (4158059)Refutation found. Thanks to Tanya!
% 8.14/4.04 % SZS status Theorem for theBenchmark
% 8.14/4.04 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/4.14 % (4158059)------------------------------
% 0.15/4.14 % (4158059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/4.14 % (4158059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/4.14 % (4158059)CaDiCaL version: 2.1.3
% 0.15/4.14 % (4158059)Termination reason: Refutation
% 0.15/4.14 % (4158059)Time elapsed: 1.275 s
% 0.15/4.14 % (4158059)Peak memory usage: 158 MB
% 0.15/4.14 % (4158059)Instructions burned: 3009 (million)
% 0.15/4.14 % (4158059)------------------------------
% 0.15/4.14 % (4158059)------------------------------
% 0.15/4.14 % (4158002)Success in time 3.414 s
% 0.15/4.14 % Vampire exiting
%------------------------------------------------------------------------------