%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU383+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 : n005.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 12:48:38 PM UTC 2026
% Result : Theorem 11.92s 2.68s
% Output : Refutation 13.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 26
% Syntax : Number of formulae : 205 ( 35 unt; 10 def)
% Number of atoms : 739 ( 29 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 909 ( 375 ~; 365 |; 118 &)
% ( 22 <=>; 27 =>; 0 <=; 2 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 8 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 235 ( 0 sgn 216 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f92,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f142,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( upper_relstr_subset(X1,X0)
<=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( ( in(X2,X1)
& related(X0,X2,X3) )
=> in(X3,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_waybel_0) ).
fof(f180,axiom,
! [X0] :
( rel_str(X0)
=> ( lower_bounded_relstr(X0)
<=> ? [X1] :
( element(X1,the_carrier(X0))
& relstr_element_smaller(X0,the_carrier(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_yellow_0) ).
fof(f202,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1,X2] :
( element(X2,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X1)
=> related(X0,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_lattice3) ).
fof(f270,axiom,
! [X0] :
( rel_str(X0)
=> element(bottom_of_relstr(X0),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_0) ).
fof(f305,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f360,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f466,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l71_subset_1) ).
fof(f534,axiom,
! [X0] : k1_pcomps_1(X0) = powerset(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_pcomps_1) ).
fof(f669,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f712,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f747,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f760,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> related(X0,bottom_of_relstr(X0),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_yellow_0) ).
fof(f776,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f795,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> ( proper_element(X1,powerset(X0))
<=> X1 != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tex_2) ).
fof(f832,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& reflexive_relstr(X0)
& transitive_relstr(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( ( ~ empty(X1)
& filtered_subset(X1,X0)
& upper_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
=> ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_waybel_7) ).
fof(f833,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& reflexive_relstr(X0)
& transitive_relstr(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( ( ~ empty(X1)
& filtered_subset(X1,X0)
& upper_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
=> ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f832]) ).
fof(f902,plain,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& reflexive_relstr(X0)
& transitive_relstr(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( ( ~ empty(X1)
& upper_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
=> ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) ) ) ),
inference(pure_predicate_removal,[],[f833]) ).
fof(f1130,plain,
! [X0] :
( ! [X1] :
( ( upper_relstr_subset(X1,X0)
<=> ! [X2] :
( ! [X3] :
( in(X3,X1)
| ~ in(X2,X1)
| ~ related(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f142]) ).
fof(f1131,plain,
! [X0] :
( ! [X1] :
( ( upper_relstr_subset(X1,X0)
<=> ! [X2] :
( ! [X3] :
( in(X3,X1)
| ~ in(X2,X1)
| ~ related(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(flattening,[],[f1130]) ).
fof(f1171,plain,
! [X0] :
( ( lower_bounded_relstr(X0)
<=> ? [X1] :
( element(X1,the_carrier(X0))
& relstr_element_smaller(X0,the_carrier(X0),X1) ) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f180]) ).
fof(f1197,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f202]) ).
fof(f1198,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f1197]) ).
fof(f1266,plain,
! [X0] :
( element(bottom_of_relstr(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f270]) ).
fof(f1310,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f305]) ).
fof(f1362,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f360]) ).
fof(f1363,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f1362]) ).
fof(f1484,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) ),
inference(ennf_transformation,[],[f466]) ).
fof(f1717,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f669]) ).
fof(f1784,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f712]) ).
fof(f1785,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f1784]) ).
fof(f1838,plain,
! [X0] :
( ! [X1] :
( related(X0,bottom_of_relstr(X0),X1)
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f760]) ).
fof(f1839,plain,
! [X0] :
( ! [X1] :
( related(X0,bottom_of_relstr(X0),X1)
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f1838]) ).
fof(f1862,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f776]) ).
fof(f1863,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f1862]) ).
fof(f1893,plain,
! [X0,X1] :
( ( proper_element(X1,powerset(X0))
<=> X1 != X0 )
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f795]) ).
fof(f1936,plain,
? [X0] :
( ? [X1] :
( ( proper_element(X1,powerset(the_carrier(X0)))
<~> ~ in(bottom_of_relstr(X0),X1) )
& ~ empty(X1)
& upper_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
& ~ empty_carrier(X0)
& reflexive_relstr(X0)
& transitive_relstr(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) ),
inference(ennf_transformation,[],[f902]) ).
fof(f1937,plain,
? [X0] :
( ? [X1] :
( ( proper_element(X1,powerset(the_carrier(X0)))
<~> ~ in(bottom_of_relstr(X0),X1) )
& ~ empty(X1)
& upper_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
& ~ empty_carrier(X0)
& reflexive_relstr(X0)
& transitive_relstr(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) ),
inference(flattening,[],[f1936]) ).
fof(f2089,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f2090,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f2089]) ).
fof(f2218,plain,
! [X0] :
( ! [X1] :
( ( ( upper_relstr_subset(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ in(X3,X1)
& in(X2,X1)
& related(X0,X2,X3)
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) ) )
& ( ! [X2] :
( ! [X3] :
( in(X3,X1)
| ~ in(X2,X1)
| ~ related(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ upper_relstr_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f1131]) ).
fof(f2219,plain,
! [X0] :
( ! [X1] :
( ( ( upper_relstr_subset(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ in(X3,X1)
& in(X2,X1)
& related(X0,X2,X3)
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( in(X5,X1)
| ~ in(X4,X1)
| ~ related(X0,X4,X5)
| ~ element(X5,the_carrier(X0)) )
| ~ element(X4,the_carrier(X0)) )
| ~ upper_relstr_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(rectify,[],[f2218]) ).
fof(f2220,plain,
! [X0] :
( ! [X1] :
( ( ( upper_relstr_subset(X1,X0)
| ( ~ in(sK142(X0,X1),X1)
& in(sK141(X0,X1),X1)
& related(X0,sK141(X0,X1),sK142(X0,X1))
& element(sK142(X0,X1),the_carrier(X0))
& element(sK141(X0,X1),the_carrier(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( in(X5,X1)
| ~ in(X4,X1)
| ~ related(X0,X4,X5)
| ~ element(X5,the_carrier(X0)) )
| ~ element(X4,the_carrier(X0)) )
| ~ upper_relstr_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK141,sK142]),skolemize(X2,sK141(X0,X1)),skolemize(X3,sK142(X0,X1))],[f2219]) ).
fof(f2301,plain,
! [X0] :
( ( ( lower_bounded_relstr(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ~ relstr_element_smaller(X0,the_carrier(X0),X1) ) )
& ( ? [X1] :
( element(X1,the_carrier(X0))
& relstr_element_smaller(X0,the_carrier(X0),X1) )
| ~ lower_bounded_relstr(X0) ) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f1171]) ).
fof(f2302,plain,
! [X0] :
( ( ( lower_bounded_relstr(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ~ relstr_element_smaller(X0,the_carrier(X0),X1) ) )
& ( ? [X2] :
( element(X2,the_carrier(X0))
& relstr_element_smaller(X0,the_carrier(X0),X2) )
| ~ lower_bounded_relstr(X0) ) )
| ~ rel_str(X0) ),
inference(rectify,[],[f2301]) ).
fof(f2303,plain,
! [X0] :
( ( ( lower_bounded_relstr(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ~ relstr_element_smaller(X0,the_carrier(X0),X1) ) )
& ( ( element(sK183(X0),the_carrier(X0))
& relstr_element_smaller(X0,the_carrier(X0),sK183(X0)) )
| ~ lower_bounded_relstr(X0) ) )
| ~ rel_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK183]),skolemize(X2,sK183(X0))],[f2302]) ).
fof(f2346,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& in(X3,X1)
& element(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f1198]) ).
fof(f2347,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& in(X3,X1)
& element(X3,the_carrier(X0)) ) )
& ( ! [X4] :
( related(X0,X2,X4)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(rectify,[],[f2346]) ).
fof(f2348,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ( ~ related(X0,X2,sK206(X0,X1,X2))
& in(sK206(X0,X1,X2),X1)
& element(sK206(X0,X1,X2),the_carrier(X0)) ) )
& ( ! [X4] :
( related(X0,X2,X4)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK206]),skolemize(X3,sK206(X0,X1,X2))],[f2347]) ).
fof(f2427,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ( ~ in(sK250(X0,X1),X1)
& in(sK250(X0,X1),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK250]),skolemize(X2,sK250(X0,X1))],[f1484]) ).
fof(f2839,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f747]) ).
fof(f2864,plain,
! [X0,X1] :
( ( ( proper_element(X1,powerset(X0))
| X0 = X1 )
& ( X1 != X0
| ~ proper_element(X1,powerset(X0)) ) )
| ~ element(X1,powerset(X0)) ),
inference(nnf_transformation,[],[f1893]) ).
fof(f2884,plain,
? [X0] :
( ? [X1] :
( ( in(bottom_of_relstr(X0),X1)
| ~ proper_element(X1,powerset(the_carrier(X0))) )
& ( ~ in(bottom_of_relstr(X0),X1)
| proper_element(X1,powerset(the_carrier(X0))) )
& ~ empty(X1)
& upper_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
& ~ empty_carrier(X0)
& reflexive_relstr(X0)
& transitive_relstr(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) ),
inference(nnf_transformation,[],[f1937]) ).
fof(f2885,plain,
? [X0] :
( ? [X1] :
( ( in(bottom_of_relstr(X0),X1)
| ~ proper_element(X1,powerset(the_carrier(X0))) )
& ( ~ in(bottom_of_relstr(X0),X1)
| proper_element(X1,powerset(the_carrier(X0))) )
& ~ empty(X1)
& upper_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
& ~ empty_carrier(X0)
& reflexive_relstr(X0)
& transitive_relstr(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) ),
inference(flattening,[],[f2884]) ).
fof(f2886,plain,
( ( in(bottom_of_relstr(sK615),sK616)
| ~ proper_element(sK616,powerset(the_carrier(sK615))) )
& ( ~ in(bottom_of_relstr(sK615),sK616)
| proper_element(sK616,powerset(the_carrier(sK615))) )
& ~ empty(sK616)
& upper_relstr_subset(sK616,sK615)
& element(sK616,powerset(the_carrier(sK615)))
& ~ empty_carrier(sK615)
& reflexive_relstr(sK615)
& transitive_relstr(sK615)
& antisymmetric_relstr(sK615)
& lower_bounded_relstr(sK615)
& rel_str(sK615) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK615,sK616]),skolemize(X0,sK615),skolemize(X1,sK616)],[f2885]) ).
fof(f3191,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f2090]) ).
fof(f3421,plain,
! [X0,X1,X4,X5] :
( in(X5,X1)
| ~ in(X4,X1)
| ~ related(X0,X4,X5)
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ upper_relstr_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f2220]) ).
fof(f3573,plain,
! [X0] :
( relstr_element_smaller(X0,the_carrier(X0),sK183(X0))
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f2303]) ).
fof(f3574,plain,
! [X0] :
( element(sK183(X0),the_carrier(X0))
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f2303]) ).
fof(f3666,plain,
! [X2,X0,X1,X4] :
( ~ relstr_element_smaller(X0,X1,X2)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0))
| related(X0,X2,X4)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f2348]) ).
fof(f3780,plain,
! [X0] :
( element(bottom_of_relstr(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1266]) ).
fof(f3819,plain,
! [X0] :
( ~ rel_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1310]) ).
fof(f3921,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1363]) ).
fof(f4293,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| in(sK250(X0,X1),X0) ),
inference(cnf_transformation,[],[f2427]) ).
fof(f4294,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ in(sK250(X0,X1),X1) ),
inference(cnf_transformation,[],[f2427]) ).
fof(f4671,plain,
! [X0] : powerset(X0) = k1_pcomps_1(X0),
inference(cnf_transformation,[],[f534]) ).
fof(f5321,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f1717]) ).
fof(f5397,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f1785]) ).
fof(f5467,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f2839]) ).
fof(f5492,plain,
! [X0,X1] :
( related(X0,bottom_of_relstr(X0),X1)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1839]) ).
fof(f5518,plain,
! [X2,X0,X1] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(cnf_transformation,[],[f1863]) ).
fof(f5561,plain,
! [X0,X1] :
( X0 != X1
| ~ proper_element(X1,powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f2864]) ).
fof(f5562,plain,
! [X0,X1] :
( proper_element(X1,powerset(X0))
| X0 = X1
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f2864]) ).
fof(f5622,plain,
rel_str(sK615),
inference(cnf_transformation,[],[f2886]) ).
fof(f5623,plain,
lower_bounded_relstr(sK615),
inference(cnf_transformation,[],[f2886]) ).
fof(f5624,plain,
antisymmetric_relstr(sK615),
inference(cnf_transformation,[],[f2886]) ).
fof(f5627,plain,
~ empty_carrier(sK615),
inference(cnf_transformation,[],[f2886]) ).
fof(f5628,plain,
element(sK616,powerset(the_carrier(sK615))),
inference(cnf_transformation,[],[f2886]) ).
fof(f5629,plain,
upper_relstr_subset(sK616,sK615),
inference(cnf_transformation,[],[f2886]) ).
fof(f5631,plain,
( ~ in(bottom_of_relstr(sK615),sK616)
| proper_element(sK616,powerset(the_carrier(sK615))) ),
inference(cnf_transformation,[],[f2886]) ).
fof(f5632,plain,
( in(bottom_of_relstr(sK615),sK616)
| ~ proper_element(sK616,powerset(the_carrier(sK615))) ),
inference(cnf_transformation,[],[f2886]) ).
fof(f5772,plain,
! [X0,X1,X4,X5] :
( in(X5,X1)
| ~ in(X4,X1)
| ~ related(X0,X4,X5)
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ upper_relstr_subset(X1,X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(definition_unfolding,[],[f3421,f4671]) ).
fof(f6070,plain,
! [X0,X1] :
( ~ in(sK250(X0,X1),X1)
| element(X0,k1_pcomps_1(X1)) ),
inference(definition_unfolding,[],[f4294,f4671]) ).
fof(f6071,plain,
! [X0,X1] :
( in(sK250(X0,X1),X0)
| element(X0,k1_pcomps_1(X1)) ),
inference(definition_unfolding,[],[f4293,f4671]) ).
fof(f6443,plain,
! [X0,X1] :
( ~ element(X0,k1_pcomps_1(X1))
| subset(X0,X1) ),
inference(definition_unfolding,[],[f5467,f4671]) ).
fof(f6470,plain,
! [X2,X0,X1] :
( ~ element(X1,k1_pcomps_1(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(definition_unfolding,[],[f5518,f4671]) ).
fof(f6486,plain,
! [X0,X1] :
( ~ element(X1,k1_pcomps_1(X0))
| X0 = X1
| proper_element(X1,k1_pcomps_1(X0)) ),
inference(definition_unfolding,[],[f5562,f4671,f4671]) ).
fof(f6487,plain,
! [X0,X1] :
( X0 != X1
| ~ proper_element(X1,k1_pcomps_1(X0))
| ~ element(X1,k1_pcomps_1(X0)) ),
inference(definition_unfolding,[],[f5561,f4671,f4671]) ).
fof(f6511,plain,
( in(bottom_of_relstr(sK615),sK616)
| ~ proper_element(sK616,k1_pcomps_1(the_carrier(sK615))) ),
inference(definition_unfolding,[],[f5632,f4671]) ).
fof(f6512,plain,
( ~ in(bottom_of_relstr(sK615),sK616)
| proper_element(sK616,k1_pcomps_1(the_carrier(sK615))) ),
inference(definition_unfolding,[],[f5631,f4671]) ).
fof(f6513,plain,
element(sK616,k1_pcomps_1(the_carrier(sK615))),
inference(definition_unfolding,[],[f5628,f4671]) ).
fof(f6797,plain,
! [X1] :
( ~ proper_element(X1,k1_pcomps_1(X1))
| ~ element(X1,k1_pcomps_1(X1)) ),
inference(equality_resolution,[],[f6487]) ).
fof(f6809,definition,
sF619 = bottom_of_relstr(sK615),
introduced(definition,[new_symbols(definition,[sF619])],[function_definition]) ).
fof(f6810,plain,
bottom_of_relstr(sK615) = sF619,
inference(reorient_equations,[],[f6809]) ).
fof(f6811,definition,
sF620 = the_carrier(sK615),
introduced(definition,[new_symbols(definition,[sF620])],[function_definition]) ).
fof(f6812,plain,
the_carrier(sK615) = sF620,
inference(reorient_equations,[],[f6811]) ).
fof(f6813,definition,
sF621 = k1_pcomps_1(sF620),
introduced(definition,[new_symbols(definition,[sF621])],[function_definition]) ).
fof(f6814,plain,
k1_pcomps_1(sF620) = sF621,
inference(reorient_equations,[],[f6813]) ).
fof(f6815,plain,
( in(sF619,sK616)
| ~ proper_element(sK616,sF621) ),
inference(definition_folding,[],[f6511,f6814,f6812,f6810]) ).
fof(f6816,plain,
( ~ in(sF619,sK616)
| proper_element(sK616,sF621) ),
inference(definition_folding,[],[f6512,f6814,f6812,f6810]) ).
fof(f6817,plain,
element(sK616,sF621),
inference(definition_folding,[],[f6513,f6814,f6812]) ).
fof(f6848,definition,
( spl622_1
<=> proper_element(sK616,sF621) ),
introduced(definition,[new_symbols(definition,[spl622_1])],[avatar_definition]) ).
fof(f6849,plain,
( ~ proper_element(sK616,sF621)
| spl622_1 ),
inference(avatar_component_clause,[],[f6848]) ).
fof(f6850,plain,
( proper_element(sK616,sF621)
| ~ spl622_1 ),
inference(avatar_component_clause,[],[f6848]) ).
fof(f6852,definition,
( spl622_2
<=> in(sF619,sK616) ),
introduced(definition,[new_symbols(definition,[spl622_2])],[avatar_definition]) ).
fof(f6853,plain,
( in(sF619,sK616)
| ~ spl622_2 ),
inference(avatar_component_clause,[],[f6852]) ).
fof(f6854,plain,
( ~ in(sF619,sK616)
| spl622_2 ),
inference(avatar_component_clause,[],[f6852]) ).
fof(f6855,plain,
( spl622_1
| ~ spl622_2 ),
inference(avatar_split_clause,[],[f6816,f6852,f6848]) ).
fof(f6856,plain,
( ~ spl622_1
| spl622_2 ),
inference(avatar_split_clause,[],[f6815,f6852,f6848]) ).
fof(f7167,plain,
! [X0,X1,X4,X5] :
( ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ in(X4,X1)
| ~ related(X0,X4,X5)
| ~ element(X5,the_carrier(X0))
| ~ upper_relstr_subset(X1,X0)
| in(X5,X1)
| ~ rel_str(X0) ),
inference(forward_subsumption_resolution,[],[f5772,f6470]) ).
fof(f7211,plain,
( ~ proper_element(sF620,sF621)
| ~ element(sF620,sF621) ),
inference(superposition,[],[f6797,f6814]) ).
fof(f7213,definition,
( spl622_61
<=> element(sF620,sF621) ),
introduced(definition,[new_symbols(definition,[spl622_61])],[avatar_definition]) ).
fof(f7215,plain,
( ~ element(sF620,sF621)
| spl622_61 ),
inference(avatar_component_clause,[],[f7213]) ).
fof(f7217,definition,
( spl622_62
<=> proper_element(sF620,sF621) ),
introduced(definition,[new_symbols(definition,[spl622_62])],[avatar_definition]) ).
fof(f7219,plain,
( ~ proper_element(sF620,sF621)
| spl622_62 ),
inference(avatar_component_clause,[],[f7217]) ).
fof(f7220,plain,
( ~ spl622_61
| ~ spl622_62 ),
inference(avatar_split_clause,[],[f7211,f7217,f7213]) ).
fof(f7222,plain,
( element(bottom_of_relstr(sK615),sF620)
| ~ rel_str(sK615) ),
inference(superposition,[],[f3780,f6812]) ).
fof(f7223,plain,
element(bottom_of_relstr(sK615),sF620),
inference(forward_subsumption_resolution,[],[f7222,f5622]) ).
fof(f7225,plain,
element(sF619,sF620),
inference(forward_demodulation,[],[f7223,f6810]) ).
fof(f7227,plain,
! [X0] :
( related(sK615,sF619,X0)
| ~ element(X0,the_carrier(sK615))
| empty_carrier(sK615)
| ~ antisymmetric_relstr(sK615)
| ~ lower_bounded_relstr(sK615)
| ~ rel_str(sK615) ),
inference(superposition,[],[f5492,f6810]) ).
fof(f7228,plain,
! [X0] :
( related(sK615,sF619,X0)
| ~ element(X0,the_carrier(sK615))
| ~ antisymmetric_relstr(sK615)
| ~ lower_bounded_relstr(sK615)
| ~ rel_str(sK615) ),
inference(forward_subsumption_resolution,[],[f7227,f5627]) ).
fof(f7229,plain,
! [X0] :
( related(sK615,sF619,X0)
| ~ element(X0,the_carrier(sK615))
| ~ lower_bounded_relstr(sK615)
| ~ rel_str(sK615) ),
inference(forward_subsumption_resolution,[],[f7228,f5624]) ).
fof(f7230,plain,
! [X0] :
( related(sK615,sF619,X0)
| ~ element(X0,the_carrier(sK615))
| ~ rel_str(sK615) ),
inference(forward_subsumption_resolution,[],[f7229,f5623]) ).
fof(f7231,plain,
! [X0] :
( related(sK615,sF619,X0)
| ~ element(X0,the_carrier(sK615)) ),
inference(forward_subsumption_resolution,[],[f7230,f5622]) ).
fof(f7232,plain,
! [X0] :
( related(sK615,sF619,X0)
| ~ element(X0,sF620) ),
inference(forward_demodulation,[],[f7231,f6812]) ).
fof(f7233,plain,
! [X2,X0,X1] :
( ~ element(X0,k1_pcomps_1(sF620))
| ~ in(X1,X0)
| ~ related(sK615,X1,X2)
| ~ element(X2,sF620)
| ~ upper_relstr_subset(X0,sK615)
| in(X2,X0)
| ~ rel_str(sK615) ),
inference(superposition,[],[f7167,f6812]) ).
fof(f7234,plain,
! [X2,X0,X1] :
( ~ element(X0,k1_pcomps_1(sF620))
| ~ in(X1,X0)
| ~ related(sK615,X1,X2)
| ~ element(X2,sF620)
| ~ upper_relstr_subset(X0,sK615)
| in(X2,X0) ),
inference(forward_subsumption_resolution,[],[f7233,f5622]) ).
fof(f7235,plain,
! [X2,X0,X1] :
( ~ related(sK615,X1,X2)
| ~ in(X1,X0)
| ~ element(X0,sF621)
| ~ element(X2,sF620)
| ~ upper_relstr_subset(X0,sK615)
| in(X2,X0) ),
inference(forward_demodulation,[],[f7234,f6814]) ).
fof(f7236,plain,
! [X0,X1] :
( ~ in(sF619,X0)
| ~ element(X0,sF621)
| ~ element(X1,sF620)
| ~ upper_relstr_subset(X0,sK615)
| in(X1,X0)
| ~ element(X1,sF620) ),
inference(resolution,[],[f7235,f7232]) ).
fof(f7238,plain,
! [X0,X1] :
( ~ upper_relstr_subset(X0,sK615)
| ~ element(X0,sF621)
| ~ element(X1,sF620)
| ~ in(sF619,X0)
| in(X1,X0) ),
inference(duplicate_literal_removal,[],[f7236]) ).
fof(f7244,plain,
! [X0] :
( ~ element(X0,sF621)
| sF620 = X0
| proper_element(X0,sF621) ),
inference(superposition,[],[f6486,f6814]) ).
fof(f7245,plain,
( sK616 = sF620
| proper_element(sK616,sF621) ),
inference(resolution,[],[f7244,f6817]) ).
fof(f7246,plain,
( sK616 = sF620
| spl622_1 ),
inference(forward_subsumption_resolution,[],[f7245,f6849]) ).
fof(f7248,plain,
( ~ in(sF619,sF620)
| spl622_1
| spl622_2 ),
inference(superposition,[],[f6854,f7246]) ).
fof(f7268,plain,
one_sorted_str(sK615),
inference(resolution,[],[f3819,f5622]) ).
fof(f7269,plain,
( ~ empty(sF620)
| empty_carrier(sK615)
| ~ one_sorted_str(sK615) ),
inference(superposition,[],[f3921,f6812]) ).
fof(f7270,plain,
( ~ empty(sF620)
| ~ one_sorted_str(sK615) ),
inference(forward_subsumption_resolution,[],[f7269,f5627]) ).
fof(f7271,plain,
~ empty(sF620),
inference(forward_subsumption_resolution,[],[f7270,f7268]) ).
fof(f7272,plain,
! [X0] :
( ~ element(sK616,sF621)
| ~ element(X0,sF620)
| ~ in(sF619,sK616)
| in(X0,sK616) ),
inference(resolution,[],[f7238,f5629]) ).
fof(f7273,plain,
! [X0] :
( ~ element(X0,sF620)
| ~ in(sF619,sK616)
| in(X0,sK616) ),
inference(forward_subsumption_resolution,[],[f7272,f6817]) ).
fof(f7276,plain,
! [X0] :
( element(X0,k1_pcomps_1(X0))
| element(X0,k1_pcomps_1(X0)) ),
inference(resolution,[],[f6071,f6070]) ).
fof(f7277,plain,
! [X0] : element(X0,k1_pcomps_1(X0)),
inference(duplicate_literal_removal,[],[f7276]) ).
fof(f7328,plain,
( in(sF619,sF620)
| empty(sF620) ),
inference(resolution,[],[f5397,f7225]) ).
fof(f7339,plain,
( empty(sF620)
| spl622_1
| spl622_2 ),
inference(forward_subsumption_resolution,[],[f7328,f7248]) ).
fof(f7341,plain,
( $false
| spl622_1
| spl622_2 ),
inference(forward_subsumption_resolution,[],[f7339,f7271]) ).
fof(f7342,plain,
( spl622_1
| spl622_2 ),
inference(avatar_contradiction_clause,[],[f7341]) ).
fof(f7344,plain,
( ! [X0] :
( ~ element(X0,sF620)
| in(X0,sK616) )
| ~ spl622_2 ),
inference(forward_subsumption_resolution,[],[f7273,f6853]) ).
fof(f7355,plain,
( relstr_element_smaller(sK615,sF620,sK183(sK615))
| ~ lower_bounded_relstr(sK615)
| ~ rel_str(sK615) ),
inference(superposition,[],[f3573,f6812]) ).
fof(f7359,plain,
( relstr_element_smaller(sK615,sF620,sK183(sK615))
| ~ rel_str(sK615) ),
inference(forward_subsumption_resolution,[],[f7355,f5623]) ).
fof(f7360,plain,
relstr_element_smaller(sK615,sF620,sK183(sK615)),
inference(forward_subsumption_resolution,[],[f7359,f5622]) ).
fof(f7465,plain,
! [X0] :
( ~ in(X0,sF620)
| ~ element(X0,the_carrier(sK615))
| related(sK615,sK183(sK615),X0)
| ~ element(sK183(sK615),the_carrier(sK615))
| ~ rel_str(sK615) ),
inference(resolution,[],[f3666,f7360]) ).
fof(f7467,plain,
! [X0] :
( ~ in(X0,sF620)
| ~ element(X0,the_carrier(sK615))
| related(sK615,sK183(sK615),X0)
| ~ element(sK183(sK615),the_carrier(sK615)) ),
inference(forward_subsumption_resolution,[],[f7465,f5622]) ).
fof(f7469,plain,
! [X0] :
( ~ element(X0,sF620)
| ~ in(X0,sF620)
| related(sK615,sK183(sK615),X0)
| ~ element(sK183(sK615),the_carrier(sK615)) ),
inference(forward_demodulation,[],[f7467,f6812]) ).
fof(f7471,plain,
! [X0] :
( ~ in(X0,sF620)
| related(sK615,sK183(sK615),X0)
| ~ element(sK183(sK615),the_carrier(sK615)) ),
inference(forward_subsumption_resolution,[],[f7469,f5321]) ).
fof(f7472,plain,
! [X0] :
( ~ element(sK183(sK615),sF620)
| ~ in(X0,sF620)
| related(sK615,sK183(sK615),X0) ),
inference(forward_demodulation,[],[f7471,f6812]) ).
fof(f7474,definition,
( spl622_72
<=> ! [X0] :
( ~ in(X0,sF620)
| related(sK615,sK183(sK615),X0) ) ),
introduced(definition,[new_symbols(definition,[spl622_72])],[avatar_definition]) ).
fof(f7475,plain,
( ! [X0] :
( related(sK615,sK183(sK615),X0)
| ~ in(X0,sF620) )
| ~ spl622_72 ),
inference(avatar_component_clause,[],[f7474]) ).
fof(f7477,definition,
( spl622_73
<=> element(sK183(sK615),sF620) ),
introduced(definition,[new_symbols(definition,[spl622_73])],[avatar_definition]) ).
fof(f7478,plain,
( element(sK183(sK615),sF620)
| ~ spl622_73 ),
inference(avatar_component_clause,[],[f7477]) ).
fof(f7479,plain,
( ~ element(sK183(sK615),sF620)
| spl622_73 ),
inference(avatar_component_clause,[],[f7477]) ).
fof(f7480,plain,
( spl622_72
| ~ spl622_73 ),
inference(avatar_split_clause,[],[f7472,f7477,f7474]) ).
fof(f7482,plain,
! [X0] :
( ~ element(X0,sF621)
| subset(X0,sF620) ),
inference(superposition,[],[f6443,f6814]) ).
fof(f7484,plain,
subset(sK616,sF620),
inference(resolution,[],[f7482,f6817]) ).
fof(f7512,plain,
( element(sK183(sK615),sF620)
| ~ lower_bounded_relstr(sK615)
| ~ rel_str(sK615) ),
inference(superposition,[],[f3574,f6812]) ).
fof(f7513,plain,
( ~ lower_bounded_relstr(sK615)
| ~ rel_str(sK615)
| spl622_73 ),
inference(forward_subsumption_resolution,[],[f7512,f7479]) ).
fof(f7516,plain,
( ~ rel_str(sK615)
| spl622_73 ),
inference(forward_subsumption_resolution,[],[f7513,f5623]) ).
fof(f7518,plain,
( $false
| spl622_73 ),
inference(forward_subsumption_resolution,[],[f7516,f5622]) ).
fof(f7519,plain,
spl622_73,
inference(avatar_contradiction_clause,[],[f7518]) ).
fof(f7520,plain,
( in(sK183(sK615),sK616)
| ~ spl622_2
| ~ spl622_73 ),
inference(resolution,[],[f7478,f7344]) ).
fof(f7535,plain,
( ! [X0,X1] :
( ~ in(X0,sF620)
| ~ in(sK183(sK615),X1)
| ~ element(X1,sF621)
| ~ element(X0,sF620)
| ~ upper_relstr_subset(X1,sK615)
| in(X0,X1) )
| ~ spl622_72 ),
inference(resolution,[],[f7475,f7235]) ).
fof(f7542,plain,
( ! [X0,X1] :
( ~ in(sK183(sK615),X1)
| ~ in(X0,sF620)
| ~ element(X1,sF621)
| ~ upper_relstr_subset(X1,sK615)
| in(X0,X1) )
| ~ spl622_72 ),
inference(forward_subsumption_resolution,[],[f7535,f5321]) ).
fof(f7585,plain,
( ! [X0] :
( ~ in(X0,sF620)
| ~ element(sK616,sF621)
| ~ upper_relstr_subset(sK616,sK615)
| in(X0,sK616) )
| ~ spl622_2
| ~ spl622_72
| ~ spl622_73 ),
inference(resolution,[],[f7542,f7520]) ).
fof(f7587,plain,
( ! [X0] :
( ~ in(X0,sF620)
| ~ upper_relstr_subset(sK616,sK615)
| in(X0,sK616) )
| ~ spl622_2
| ~ spl622_72
| ~ spl622_73 ),
inference(forward_subsumption_resolution,[],[f7585,f6817]) ).
fof(f7588,plain,
( ! [X0] :
( ~ in(X0,sF620)
| in(X0,sK616) )
| ~ spl622_2
| ~ spl622_72
| ~ spl622_73 ),
inference(forward_subsumption_resolution,[],[f7587,f5629]) ).
fof(f7589,plain,
( ! [X0] :
( in(sK250(sF620,X0),sK616)
| element(sF620,k1_pcomps_1(X0)) )
| ~ spl622_2
| ~ spl622_72
| ~ spl622_73 ),
inference(resolution,[],[f7588,f6071]) ).
fof(f7606,plain,
element(sF620,sF621),
inference(superposition,[],[f7277,f6814]) ).
fof(f7607,plain,
( $false
| spl622_61 ),
inference(forward_subsumption_resolution,[],[f7606,f7215]) ).
fof(f7608,plain,
spl622_61,
inference(avatar_contradiction_clause,[],[f7607]) ).
fof(f8422,plain,
( element(sF620,k1_pcomps_1(sK616))
| element(sF620,k1_pcomps_1(sK616))
| ~ spl622_2
| ~ spl622_72
| ~ spl622_73 ),
inference(resolution,[],[f7589,f6070]) ).
fof(f8426,plain,
( element(sF620,k1_pcomps_1(sK616))
| ~ spl622_2
| ~ spl622_72
| ~ spl622_73 ),
inference(duplicate_literal_removal,[],[f8422]) ).
fof(f8431,plain,
( subset(sF620,sK616)
| ~ spl622_2
| ~ spl622_72
| ~ spl622_73 ),
inference(resolution,[],[f8426,f6443]) ).
fof(f8452,definition,
( spl622_93
<=> sK616 = sF620 ),
introduced(definition,[new_symbols(definition,[spl622_93])],[avatar_definition]) ).
fof(f8454,plain,
( sK616 = sF620
| ~ spl622_93 ),
inference(avatar_component_clause,[],[f8452]) ).
fof(f8735,plain,
( ~ subset(sK616,sF620)
| sK616 = sF620
| ~ spl622_2
| ~ spl622_72
| ~ spl622_73 ),
inference(resolution,[],[f3191,f8431]) ).
fof(f8736,plain,
( sK616 = sF620
| ~ spl622_2
| ~ spl622_72
| ~ spl622_73 ),
inference(forward_subsumption_resolution,[],[f8735,f7484]) ).
fof(f8738,plain,
( spl622_93
| ~ spl622_2
| ~ spl622_72
| ~ spl622_73 ),
inference(avatar_split_clause,[],[f8736,f7477,f7474,f6852,f8452]) ).
fof(f8742,plain,
( proper_element(sF620,sF621)
| ~ spl622_1
| ~ spl622_93 ),
inference(superposition,[],[f6850,f8454]) ).
fof(f8776,plain,
( $false
| ~ spl622_1
| spl622_62
| ~ spl622_93 ),
inference(forward_subsumption_resolution,[],[f8742,f7219]) ).
fof(f8777,plain,
( ~ spl622_1
| spl622_62
| ~ spl622_93 ),
inference(avatar_contradiction_clause,[],[f8776]) ).
cnf(s1,plain,
( spl622_1
| ~ spl622_2 ),
inference(sat_conversion,[],[f6855]) ).
cnf(s2,plain,
( ~ spl622_1
| spl622_2 ),
inference(sat_conversion,[],[f6856]) ).
cnf(s51,plain,
( ~ spl622_61
| ~ spl622_62 ),
inference(sat_conversion,[],[f7220]) ).
cnf(s59,plain,
( spl622_1
| spl622_2 ),
inference(sat_conversion,[],[f7342]) ).
cnf(s64,plain,
( spl622_72
| ~ spl622_73 ),
inference(sat_conversion,[],[f7480]) ).
cnf(s65,plain,
spl622_73,
inference(sat_conversion,[],[f7519]) ).
cnf(s67,plain,
spl622_61,
inference(sat_conversion,[],[f7608]) ).
cnf(s85,plain,
( ~ spl622_2
| ~ spl622_72
| ~ spl622_73
| spl622_93 ),
inference(sat_conversion,[],[f8738]) ).
cnf(s87,plain,
( ~ spl622_1
| spl622_62
| ~ spl622_93 ),
inference(sat_conversion,[],[f8777]) ).
cnf(s89,plain,
spl622_72,
inference(rat,[],[s64,s65]) ).
cnf(s93,plain,
~ spl622_62,
inference(rat,[],[s51,s67]) ).
cnf(s94,plain,
spl622_1,
inference(rat,[],[s1,s59]) ).
cnf(s95,plain,
~ spl622_93,
inference(rat,[],[s87,s93,s94]) ).
cnf(s96,plain,
spl622_2,
inference(rat,[],[s2,s94]) ).
cnf(s97,plain,
$false,
inference(rat,[],[s85,s89,s65,s95,s96]) ).
fof(f8778,plain,
$false,
inference(avatar_sat_refutation,[],[s97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU383+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n005.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 05:02:58 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 11.92/2.68 % (444298)Detected formulas, will run a generic FOF schedule.
% 11.92/2.68 % (444307)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2040450511:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.92/2.68 % (444306)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1176900593:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.92/2.68 % (444305)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=4106555989:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.92/2.68 % (444304)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=3306564993:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.92/2.68 % (444303)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=4151332025:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.92/2.68 % (444308)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3494898011:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.92/2.68 % (444309)dis-21_1_sil=8000:lcm=predicate:random_seed=1153524847:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.92/2.68 % (444307)Instruction limit reached!
% 11.92/2.68 % (444307)------------------------------
% 11.92/2.68 % (444307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.68 % (444307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.68 % (444307)CaDiCaL version: 2.1.3
% 11.92/2.68 % (444307)Termination reason: Instruction limit
% 11.92/2.68 % (444307)Termination phase: Saturation
% 11.92/2.68 % (444307)Time elapsed: 0.041 s
% 11.92/2.68 % (444307)Peak memory usage: 91 MB
% 11.92/2.68 % (444307)Instructions burned: 119 (million)
% 11.92/2.68 % (444306)Instruction limit reached!
% 11.92/2.68 % (444306)------------------------------
% 11.92/2.68 % (444306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.68 % (444306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.68 % (444306)CaDiCaL version: 2.1.3
% 11.92/2.68 % (444306)Termination reason: Instruction limit
% 11.92/2.68 % (444306)Termination phase: Blocked clause elimination
% 11.92/2.68 % (444306)Time elapsed: 0.063 s
% 11.92/2.68 % (444306)Peak memory usage: 90 MB
% 11.92/2.68 % (444306)Instructions burned: 110 (million)
% 11.92/2.68 % (444309)Instruction limit reached!
% 11.92/2.68 % (444309)------------------------------
% 11.92/2.68 % (444309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.68 % (444309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.68 % (444309)CaDiCaL version: 2.1.3
% 11.92/2.68 % (444309)Termination reason: Instruction limit
% 11.92/2.68 % (444309)Termination phase: Saturation
% 11.92/2.68 % (444309)Time elapsed: 0.069 s
% 11.92/2.68 % (444309)Peak memory usage: 91 MB
% 11.92/2.68 % (444309)Instructions burned: 129 (million)
% 11.92/2.68 % (444308)Instruction limit reached!
% 11.92/2.68 % (444308)------------------------------
% 11.92/2.68 % (444308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.68 % (444308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.68 % (444308)CaDiCaL version: 2.1.3
% 11.92/2.68 % (444308)Termination reason: Instruction limit
% 11.92/2.68 % (444308)Termination phase: Saturation
% 11.92/2.68 % (444308)Time elapsed: 0.082 s
% 11.92/2.68 % (444308)Peak memory usage: 92 MB
% 11.92/2.68 % (444308)Instructions burned: 139 (million)
% 11.92/2.68 % (444317)lrs+10_1_sil=8000:sp=occurrence:random_seed=3414642870:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.92/2.68 % (444318)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2547961760:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.92/2.68 % (444317)Instruction limit reached!
% 11.92/2.68 % (444317)------------------------------
% 11.92/2.68 % (444317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.68 % (444317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.68 % (444317)CaDiCaL version: 2.1.3
% 11.92/2.68 % (444317)Termination reason: Instruction limit
% 11.92/2.68 % (444317)Termination phase: Saturation
% 11.92/2.68 % (444317)Time elapsed: 0.098 s
% 11.92/2.68 % (444317)Peak memory usage: 95 MB
% 11.92/2.68 % (444317)Instructions burned: 288 (million)
% 11.92/2.68 % (444320)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=2048112297:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 11.92/2.68 % (444319)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2291592234:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.92/2.68 % (444318)Instruction limit reached!
% 11.92/2.68 % (444318)------------------------------
% 11.92/2.68 % (444318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.68 % (444318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.68 % (444318)CaDiCaL version: 2.1.3
% 11.92/2.68 % (444318)Termination reason: Instruction limit
% 11.92/2.68 % (444318)Termination phase: Saturation
% 11.92/2.68 % (444318)Time elapsed: 0.092 s
% 11.92/2.68 % (444318)Peak memory usage: 91 MB
% 11.92/2.68 % (444318)Instructions burned: 157 (million)
% 11.92/2.68 % (444323)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3665874070:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 11.92/2.68 % (444320)Instruction limit reached!
% 11.92/2.68 % (444320)------------------------------
% 11.92/2.68 % (444320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.68 % (444320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.68 % (444320)CaDiCaL version: 2.1.3
% 11.92/2.68 % (444320)Termination reason: Instruction limit
% 11.92/2.68 % (444320)Termination phase: Saturation
% 11.92/2.68 % (444320)Time elapsed: 0.150 s
% 11.92/2.68 % (444320)Peak memory usage: 94 MB
% 11.92/2.68 % (444320)Instructions burned: 248 (million)
% 11.92/2.68 % (444323)Instruction limit reached!
% 11.92/2.68 % (444323)------------------------------
% 11.92/2.68 % (444323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.68 % (444323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.68 % (444323)CaDiCaL version: 2.1.3
% 11.92/2.68 % (444323)Termination reason: Instruction limit
% 11.92/2.68 % (444323)Termination phase: Saturation
% 11.92/2.68 % (444323)Time elapsed: 0.095 s
% 11.92/2.68 % (444323)Peak memory usage: 94 MB
% 11.92/2.68 % (444323)Instructions burned: 295 (million)
% 11.92/2.68 % (444326)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1062688930:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 11.92/2.68 % (444319)Instruction limit reached!
% 11.92/2.68 % (444319)------------------------------
% 11.92/2.68 % (444319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.68 % (444319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.68 % (444319)CaDiCaL version: 2.1.3
% 11.92/2.68 % (444319)Termination reason: Instruction limit
% 11.92/2.68 % (444319)Termination phase: Saturation
% 11.92/2.68 % (444319)Time elapsed: 0.211 s
% 11.92/2.68 % (444319)Peak memory usage: 95 MB
% 11.92/2.68 % (444319)Instructions burned: 326 (million)
% 11.92/2.68 % (444328)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2933550344:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 11.92/2.68 % (444329)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1795163056:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 11.92/2.68 % (444329)Instruction limit reached!
% 11.92/2.68 % (444329)------------------------------
% 11.92/2.68 % (444329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.68 % (444329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.68 % (444329)CaDiCaL version: 2.1.3
% 11.92/2.68 % (444329)Termination reason: Instruction limit
% 11.92/2.68 % (444329)Termination phase: Blocked clause elimination
% 11.92/2.68 % (444329)Time elapsed: 0.039 s
% 11.92/2.68 % (444329)Peak memory usage: 90 MB
% 11.92/2.68 % (444329)Instructions burned: 131 (million)
% 11.92/2.68 % (444328)Instruction limit reached!
% 11.92/2.68 % (444328)------------------------------
% 11.92/2.68 % (444328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.68 % (444328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.68 % (444328)CaDiCaL version: 2.1.3
% 11.92/2.68 % (444328)Termination reason: Instruction limit
% 11.92/2.68 % (444328)Termination phase: Saturation
% 11.92/2.68 % (444328)Time elapsed: 0.063 s
% 11.92/2.68 % (444328)Peak memory usage: 92 MB
% 11.92/2.68 % (444328)Instructions burned: 113 (million)
% 11.92/2.68 % (444331)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4030677630:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 11.92/2.68 % (444331)Instruction limit reached!
% 11.92/2.68 % (444331)------------------------------
% 11.92/2.68 % (444331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.68 % (444331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.68 % (444331)CaDiCaL version: 2.1.3
% 11.92/2.68 % (444331)Termination reason: Instruction limit
% 11.92/2.68 % (444331)Termination phase: Saturation
% 11.92/2.68 % (444331)Time elapsed: 0.071 s
% 11.92/2.68 % (444331)Peak memory usage: 90 MB
% 11.92/2.68 % (444331)Instructions burned: 114 (million)
% 11.92/2.68 % (444334)lrs+10_1_sil=8000:sp=occurrence:random_seed=1775573889:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 11.92/2.68 % (444336)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3333519276:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 11.92/2.68 % (444338)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2401892520:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 11.92/2.68 % (444334)Instruction limit reached!
% 11.92/2.68 % (444334)------------------------------
% 11.92/2.68 % (444334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.68 % (444334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.68 % (444334)CaDiCaL version: 2.1.3
% 11.92/2.68 % (444334)Termination reason: Instruction limit
% 11.92/2.68 % (444334)Termination phase: Saturation
% 11.92/2.68 % (444334)Time elapsed: 0.321 s
% 11.92/2.68 % (444334)Peak memory usage: 105 MB
% 11.92/2.68 % (444334)Instructions burned: 908 (million)
% 11.92/2.68 % (444336)Instruction limit reached!
% 11.92/2.68 % (444336)------------------------------
% 11.92/2.68 % (444336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.68 % (444336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.68 % (444336)CaDiCaL version: 2.1.3
% 11.92/2.68 % (444336)Termination reason: Instruction limit
% 11.92/2.68 % (444336)Termination phase: Saturation
% 11.92/2.68 % (444336)Time elapsed: 0.270 s
% 11.92/2.68 % (444336)Peak memory usage: 96 MB
% 11.92/2.68 % (444336)Instructions burned: 438 (million)
% 11.92/2.68 % (444341)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2687410613:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 11.92/2.68 % (444341)Instruction limit reached!
% 11.92/2.68 % (444341)------------------------------
% 11.92/2.68 % (444341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.68 % (444341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.68 % (444341)CaDiCaL version: 2.1.3
% 11.92/2.68 % (444341)Termination reason: Instruction limit
% 11.92/2.68 % (444341)Termination phase: Saturation
% 11.92/2.68 % (444341)Time elapsed: 0.037 s
% 11.92/2.68 % (444341)Peak memory usage: 90 MB
% 11.92/2.68 % (444341)Instructions burned: 135 (million)
% 11.92/2.68 % (444342)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1776211808:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 11.92/2.68 % (444344)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1118039753:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 11.92/2.68 % (444303)First to succeed.
% 11.92/2.68 % (444303)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-444298"
% 11.92/2.68 % (444342)Instruction limit reached!
% 11.92/2.68 % (444342)------------------------------
% 11.92/2.68 % (444342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.68 % (444342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.68 % (444342)CaDiCaL version: 2.1.3
% 11.92/2.68 % (444342)Termination reason: Instruction limit
% 11.92/2.68 % (444342)Termination phase: Saturation
% 11.92/2.68 % (444342)Time elapsed: 0.360 s
% 11.92/2.68 % (444342)Peak memory usage: 99 MB
% 11.92/2.68 % (444342)Instructions burned: 592 (million)
% 11.92/2.68 % (444347)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=1426902264:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 11.92/2.68 % (444303)Refutation found. Thanks to Tanya!
% 11.92/2.68 % SZS status Theorem for theBenchmark
% 11.92/2.68 % SZS output start Proof for theBenchmark
% See solution above
% 13.16/2.87 % (444303)------------------------------
% 13.16/2.87 % (444303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.16/2.87 % (444303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.16/2.87 % (444303)CaDiCaL version: 2.1.3
% 13.16/2.87 % (444303)Termination reason: Refutation
% 13.16/2.87 % (444303)Time elapsed: 1.365 s
% 13.16/2.87 % (444303)Peak memory usage: 157 MB
% 13.16/2.87 % (444303)Instructions burned: 2188 (million)
% 13.16/2.87 % (444303)------------------------------
% 13.16/2.87 % (444303)------------------------------
% 13.16/2.87 % (444298)Success in time 1.812 s
% 13.16/2.87 % Vampire exiting
%------------------------------------------------------------------------------