%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU343+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 11.91s 2.67s
% Output : Refutation 13.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 42
% Syntax : Number of formulae : 270 ( 40 unt; 24 def)
% Number of atoms : 905 ( 164 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1158 ( 523 ~; 527 |; 58 &)
% ( 28 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 38 ( 36 usr; 25 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 3 con; 0-6 aty)
% Number of variables : 246 ( 0 sgn 237 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X0))
& element(X2,powerset(X0)) )
=> subset_union2(X0,X1,X2) = subset_union2(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k4_subset_1) ).
fof(f61,axiom,
! [X0,X1] :
( ( strict_latt_str(X1)
& latt_str(X1) )
=> ( X1 = boole_lattice(X0)
<=> ( the_carrier(X1) = powerset(X0)
& ! [X2] :
( element(X2,powerset(X0))
=> ! [X3] :
( element(X3,powerset(X0))
=> ( apply_binary(the_L_join(X1),X2,X3) = subset_union2(X0,X2,X3)
& apply_binary(the_L_meet(X1),X2,X3) = subset_intersection2(X0,X2,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_lattice3) ).
fof(f62,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& join_semilatt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> join(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_join(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_lattices) ).
fof(f79,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& meet_semilatt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> meet(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_meet(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_lattices) ).
fof(f141,axiom,
! [X0] :
( strict_latt_str(boole_lattice(X0))
& latt_str(boole_lattice(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice3) ).
fof(f194,axiom,
! [X0] :
( join_semilatt_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f195,axiom,
! [X0] :
( latt_str(X0)
=> ( meet_semilatt_str(X0)
& join_semilatt_str(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f200,axiom,
! [X0] :
( meet_semilatt_str(X0)
=> ( function(the_L_meet(X0))
& quasi_total(the_L_meet(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0))
& relation_of2_as_subset(the_L_meet(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f204,axiom,
! [X0] :
( join_semilatt_str(X0)
=> ( function(the_L_join(X0))
& quasi_total(the_L_join(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0))
& relation_of2_as_subset(the_L_join(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f226,axiom,
! [X0] :
( ~ empty_carrier(boole_lattice(X0))
& strict_latt_str(boole_lattice(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice3) ).
fof(f231,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f343,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ empty(X0)
& ~ empty(X1)
& function(X3)
& quasi_total(X3,cartesian_product2(X0,X1),X2)
& relation_of2(X3,cartesian_product2(X0,X1),X2)
& element(X4,X0)
& element(X5,X1) )
=> apply_binary_as_element(X0,X1,X2,X3,X4,X5) = apply_binary(X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_binop_1) ).
fof(f347,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X0))
& element(X2,powerset(X0)) )
=> subset_union2(X0,X1,X2) = set_union2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).
fof(f350,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X0))
& element(X2,powerset(X0)) )
=> subset_intersection2(X0,X1,X2) = set_intersection2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f353,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f455,conjecture,
! [X0,X1] :
( element(X1,the_carrier(boole_lattice(X0)))
=> ! [X2] :
( element(X2,the_carrier(boole_lattice(X0)))
=> ( join(boole_lattice(X0),X1,X2) = set_union2(X1,X2)
& meet(boole_lattice(X0),X1,X2) = set_intersection2(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_lattice3) ).
fof(f456,negated_conjecture,
~ ! [X0,X1] :
( element(X1,the_carrier(boole_lattice(X0)))
=> ! [X2] :
( element(X2,the_carrier(boole_lattice(X0)))
=> ( join(boole_lattice(X0),X1,X2) = set_union2(X1,X2)
& meet(boole_lattice(X0),X1,X2) = set_intersection2(X1,X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f455]) ).
fof(f540,axiom,
! [X0,X1] : set_difference(X0,set_difference(X0,X1)) = set_intersection2(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f697,plain,
! [X0,X1,X2] :
( subset_union2(X0,X1,X2) = subset_union2(X0,X2,X1)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f698,plain,
! [X0,X1,X2] :
( subset_union2(X0,X1,X2) = subset_union2(X0,X2,X1)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(flattening,[],[f697]) ).
fof(f726,plain,
! [X0,X1] :
( ( X1 = boole_lattice(X0)
<=> ( the_carrier(X1) = powerset(X0)
& ! [X2] :
( ! [X3] :
( ( apply_binary(the_L_join(X1),X2,X3) = subset_union2(X0,X2,X3)
& apply_binary(the_L_meet(X1),X2,X3) = subset_intersection2(X0,X2,X3) )
| ~ element(X3,powerset(X0)) )
| ~ element(X2,powerset(X0)) ) ) )
| ~ strict_latt_str(X1)
| ~ latt_str(X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f727,plain,
! [X0,X1] :
( ( X1 = boole_lattice(X0)
<=> ( the_carrier(X1) = powerset(X0)
& ! [X2] :
( ! [X3] :
( ( apply_binary(the_L_join(X1),X2,X3) = subset_union2(X0,X2,X3)
& apply_binary(the_L_meet(X1),X2,X3) = subset_intersection2(X0,X2,X3) )
| ~ element(X3,powerset(X0)) )
| ~ element(X2,powerset(X0)) ) ) )
| ~ strict_latt_str(X1)
| ~ latt_str(X1) ),
inference(flattening,[],[f726]) ).
fof(f728,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( join(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_join(X0),X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ join_semilatt_str(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f729,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( join(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_join(X0),X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ join_semilatt_str(X0) ),
inference(flattening,[],[f728]) ).
fof(f744,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( meet(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_meet(X0),X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f745,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( meet(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_meet(X0),X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(flattening,[],[f744]) ).
fof(f848,plain,
! [X0] :
( one_sorted_str(X0)
| ~ join_semilatt_str(X0) ),
inference(ennf_transformation,[],[f194]) ).
fof(f849,plain,
! [X0] :
( ( meet_semilatt_str(X0)
& join_semilatt_str(X0) )
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f195]) ).
fof(f853,plain,
! [X0] :
( ( function(the_L_meet(X0))
& quasi_total(the_L_meet(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0))
& relation_of2_as_subset(the_L_meet(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0)) )
| ~ meet_semilatt_str(X0) ),
inference(ennf_transformation,[],[f200]) ).
fof(f856,plain,
! [X0] :
( ( function(the_L_join(X0))
& quasi_total(the_L_join(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0))
& relation_of2_as_subset(the_L_join(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0)) )
| ~ join_semilatt_str(X0) ),
inference(ennf_transformation,[],[f204]) ).
fof(f874,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f231]) ).
fof(f875,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f874]) ).
fof(f980,plain,
! [X0,X1,X2,X3,X4,X5] :
( apply_binary_as_element(X0,X1,X2,X3,X4,X5) = apply_binary(X3,X4,X5)
| empty(X0)
| empty(X1)
| ~ function(X3)
| ~ quasi_total(X3,cartesian_product2(X0,X1),X2)
| ~ relation_of2(X3,cartesian_product2(X0,X1),X2)
| ~ element(X4,X0)
| ~ element(X5,X1) ),
inference(ennf_transformation,[],[f343]) ).
fof(f981,plain,
! [X0,X1,X2,X3,X4,X5] :
( apply_binary_as_element(X0,X1,X2,X3,X4,X5) = apply_binary(X3,X4,X5)
| empty(X0)
| empty(X1)
| ~ function(X3)
| ~ quasi_total(X3,cartesian_product2(X0,X1),X2)
| ~ relation_of2(X3,cartesian_product2(X0,X1),X2)
| ~ element(X4,X0)
| ~ element(X5,X1) ),
inference(flattening,[],[f980]) ).
fof(f987,plain,
! [X0,X1,X2] :
( subset_union2(X0,X1,X2) = set_union2(X1,X2)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(ennf_transformation,[],[f347]) ).
fof(f988,plain,
! [X0,X1,X2] :
( subset_union2(X0,X1,X2) = set_union2(X1,X2)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(flattening,[],[f987]) ).
fof(f991,plain,
! [X0,X1,X2] :
( subset_intersection2(X0,X1,X2) = set_intersection2(X1,X2)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(ennf_transformation,[],[f350]) ).
fof(f992,plain,
! [X0,X1,X2] :
( subset_intersection2(X0,X1,X2) = set_intersection2(X1,X2)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(flattening,[],[f991]) ).
fof(f1148,plain,
? [X0,X1] :
( ? [X2] :
( ( set_union2(X1,X2) != join(boole_lattice(X0),X1,X2)
| set_intersection2(X1,X2) != meet(boole_lattice(X0),X1,X2) )
& element(X2,the_carrier(boole_lattice(X0))) )
& element(X1,the_carrier(boole_lattice(X0))) ),
inference(ennf_transformation,[],[f456]) ).
fof(f1412,plain,
! [X0,X1] :
( ( ( X1 = boole_lattice(X0)
| powerset(X0) != the_carrier(X1)
| ? [X2] :
( ? [X3] :
( ( apply_binary(the_L_join(X1),X2,X3) != subset_union2(X0,X2,X3)
| apply_binary(the_L_meet(X1),X2,X3) != subset_intersection2(X0,X2,X3) )
& element(X3,powerset(X0)) )
& element(X2,powerset(X0)) ) )
& ( ( the_carrier(X1) = powerset(X0)
& ! [X2] :
( ! [X3] :
( ( apply_binary(the_L_join(X1),X2,X3) = subset_union2(X0,X2,X3)
& apply_binary(the_L_meet(X1),X2,X3) = subset_intersection2(X0,X2,X3) )
| ~ element(X3,powerset(X0)) )
| ~ element(X2,powerset(X0)) ) )
| boole_lattice(X0) != X1 ) )
| ~ strict_latt_str(X1)
| ~ latt_str(X1) ),
inference(nnf_transformation,[],[f727]) ).
fof(f1413,plain,
! [X0,X1] :
( ( ( X1 = boole_lattice(X0)
| powerset(X0) != the_carrier(X1)
| ? [X2] :
( ? [X3] :
( ( apply_binary(the_L_join(X1),X2,X3) != subset_union2(X0,X2,X3)
| apply_binary(the_L_meet(X1),X2,X3) != subset_intersection2(X0,X2,X3) )
& element(X3,powerset(X0)) )
& element(X2,powerset(X0)) ) )
& ( ( the_carrier(X1) = powerset(X0)
& ! [X2] :
( ! [X3] :
( ( apply_binary(the_L_join(X1),X2,X3) = subset_union2(X0,X2,X3)
& apply_binary(the_L_meet(X1),X2,X3) = subset_intersection2(X0,X2,X3) )
| ~ element(X3,powerset(X0)) )
| ~ element(X2,powerset(X0)) ) )
| boole_lattice(X0) != X1 ) )
| ~ strict_latt_str(X1)
| ~ latt_str(X1) ),
inference(flattening,[],[f1412]) ).
fof(f1414,plain,
! [X0,X1] :
( ( ( X1 = boole_lattice(X0)
| powerset(X0) != the_carrier(X1)
| ? [X2] :
( ? [X3] :
( ( apply_binary(the_L_join(X1),X2,X3) != subset_union2(X0,X2,X3)
| apply_binary(the_L_meet(X1),X2,X3) != subset_intersection2(X0,X2,X3) )
& element(X3,powerset(X0)) )
& element(X2,powerset(X0)) ) )
& ( ( the_carrier(X1) = powerset(X0)
& ! [X4] :
( ! [X5] :
( ( apply_binary(the_L_join(X1),X4,X5) = subset_union2(X0,X4,X5)
& apply_binary(the_L_meet(X1),X4,X5) = subset_intersection2(X0,X4,X5) )
| ~ element(X5,powerset(X0)) )
| ~ element(X4,powerset(X0)) ) )
| boole_lattice(X0) != X1 ) )
| ~ strict_latt_str(X1)
| ~ latt_str(X1) ),
inference(rectify,[],[f1413]) ).
fof(f1415,plain,
! [X0,X1] :
( ( ( X1 = boole_lattice(X0)
| powerset(X0) != the_carrier(X1)
| ( ( apply_binary(the_L_join(X1),sK42(X0,X1),sK43(X0,X1)) != subset_union2(X0,sK42(X0,X1),sK43(X0,X1))
| apply_binary(the_L_meet(X1),sK42(X0,X1),sK43(X0,X1)) != subset_intersection2(X0,sK42(X0,X1),sK43(X0,X1)) )
& element(sK43(X0,X1),powerset(X0))
& element(sK42(X0,X1),powerset(X0)) ) )
& ( ( the_carrier(X1) = powerset(X0)
& ! [X4] :
( ! [X5] :
( ( apply_binary(the_L_join(X1),X4,X5) = subset_union2(X0,X4,X5)
& apply_binary(the_L_meet(X1),X4,X5) = subset_intersection2(X0,X4,X5) )
| ~ element(X5,powerset(X0)) )
| ~ element(X4,powerset(X0)) ) )
| boole_lattice(X0) != X1 ) )
| ~ strict_latt_str(X1)
| ~ latt_str(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42,sK43]),skolemize(X2,sK42(X0,X1)),skolemize(X3,sK43(X0,X1))],[f1414]) ).
fof(f1641,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f353]) ).
fof(f1841,plain,
( ( set_union2(sK426,sK427) != join(boole_lattice(sK425),sK426,sK427)
| set_intersection2(sK426,sK427) != meet(boole_lattice(sK425),sK426,sK427) )
& element(sK427,the_carrier(boole_lattice(sK425)))
& element(sK426,the_carrier(boole_lattice(sK425))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK425,sK426,sK427]),skolemize(X0,sK425),skolemize(X1,sK426),skolemize(X2,sK427)],[f1148]) ).
fof(f1975,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f1979,plain,
! [X2,X0,X1] :
( subset_union2(X0,X1,X2) = subset_union2(X0,X2,X1)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(cnf_transformation,[],[f698]) ).
fof(f2072,plain,
! [X0,X1,X4,X5] :
( apply_binary(the_L_meet(X1),X4,X5) = subset_intersection2(X0,X4,X5)
| ~ element(X5,powerset(X0))
| ~ element(X4,powerset(X0))
| boole_lattice(X0) != X1
| ~ strict_latt_str(X1)
| ~ latt_str(X1) ),
inference(cnf_transformation,[],[f1415]) ).
fof(f2073,plain,
! [X0,X1,X4,X5] :
( apply_binary(the_L_join(X1),X4,X5) = subset_union2(X0,X4,X5)
| ~ element(X5,powerset(X0))
| ~ element(X4,powerset(X0))
| boole_lattice(X0) != X1
| ~ strict_latt_str(X1)
| ~ latt_str(X1) ),
inference(cnf_transformation,[],[f1415]) ).
fof(f2074,plain,
! [X0,X1] :
( powerset(X0) = the_carrier(X1)
| boole_lattice(X0) != X1
| ~ strict_latt_str(X1)
| ~ latt_str(X1) ),
inference(cnf_transformation,[],[f1415]) ).
fof(f2078,plain,
! [X2,X0,X1] :
( join(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_join(X0),X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f729]) ).
fof(f2153,plain,
! [X2,X0,X1] :
( meet(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_meet(X0),X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f745]) ).
fof(f2374,plain,
! [X0] : latt_str(boole_lattice(X0)),
inference(cnf_transformation,[],[f141]) ).
fof(f2375,plain,
! [X0] : strict_latt_str(boole_lattice(X0)),
inference(cnf_transformation,[],[f141]) ).
fof(f2408,plain,
! [X0] :
( one_sorted_str(X0)
| ~ join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f848]) ).
fof(f2409,plain,
! [X0] :
( join_semilatt_str(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f849]) ).
fof(f2410,plain,
! [X0] :
( meet_semilatt_str(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f849]) ).
fof(f2413,plain,
! [X0] :
( relation_of2_as_subset(the_L_meet(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0))
| ~ meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f853]) ).
fof(f2414,plain,
! [X0] :
( quasi_total(the_L_meet(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0))
| ~ meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f853]) ).
fof(f2415,plain,
! [X0] :
( function(the_L_meet(X0))
| ~ meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f853]) ).
fof(f2418,plain,
! [X0] :
( relation_of2_as_subset(the_L_join(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0))
| ~ join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f856]) ).
fof(f2419,plain,
! [X0] :
( quasi_total(the_L_join(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0))
| ~ join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f856]) ).
fof(f2420,plain,
! [X0] :
( function(the_L_join(X0))
| ~ join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f856]) ).
fof(f2453,plain,
! [X0] : ~ empty_carrier(boole_lattice(X0)),
inference(cnf_transformation,[],[f226]) ).
fof(f2466,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f875]) ).
fof(f2736,plain,
! [X2,X3,X0,X1,X4,X5] :
( apply_binary_as_element(X0,X1,X2,X3,X4,X5) = apply_binary(X3,X4,X5)
| empty(X0)
| empty(X1)
| ~ function(X3)
| ~ quasi_total(X3,cartesian_product2(X0,X1),X2)
| ~ relation_of2(X3,cartesian_product2(X0,X1),X2)
| ~ element(X4,X0)
| ~ element(X5,X1) ),
inference(cnf_transformation,[],[f981]) ).
fof(f2740,plain,
! [X2,X0,X1] :
( subset_union2(X0,X1,X2) = set_union2(X1,X2)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(cnf_transformation,[],[f988]) ).
fof(f2743,plain,
! [X2,X0,X1] :
( subset_intersection2(X0,X1,X2) = set_intersection2(X1,X2)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(cnf_transformation,[],[f992]) ).
fof(f2746,plain,
! [X2,X0,X1] :
( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f1641]) ).
fof(f3452,plain,
element(sK426,the_carrier(boole_lattice(sK425))),
inference(cnf_transformation,[],[f1841]) ).
fof(f3453,plain,
element(sK427,the_carrier(boole_lattice(sK425))),
inference(cnf_transformation,[],[f1841]) ).
fof(f3454,plain,
( set_union2(sK426,sK427) != join(boole_lattice(sK425),sK426,sK427)
| set_intersection2(sK426,sK427) != meet(boole_lattice(sK425),sK426,sK427) ),
inference(cnf_transformation,[],[f1841]) ).
fof(f3597,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
inference(cnf_transformation,[],[f540]) ).
fof(f3896,plain,
! [X2,X0,X1] :
( subset_intersection2(X0,X1,X2) = set_difference(X1,set_difference(X1,X2))
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(definition_unfolding,[],[f2743,f3597]) ).
fof(f4097,plain,
( set_union2(sK426,sK427) != join(boole_lattice(sK425),sK426,sK427)
| meet(boole_lattice(sK425),sK426,sK427) != set_difference(sK426,set_difference(sK426,sK427)) ),
inference(definition_unfolding,[],[f3454,f3597]) ).
fof(f4188,plain,
! [X0] :
( powerset(X0) = the_carrier(boole_lattice(X0))
| ~ strict_latt_str(boole_lattice(X0))
| ~ latt_str(boole_lattice(X0)) ),
inference(equality_resolution,[],[f2074]) ).
fof(f4189,plain,
! [X0,X4,X5] :
( subset_union2(X0,X4,X5) = apply_binary(the_L_join(boole_lattice(X0)),X4,X5)
| ~ element(X5,powerset(X0))
| ~ element(X4,powerset(X0))
| ~ strict_latt_str(boole_lattice(X0))
| ~ latt_str(boole_lattice(X0)) ),
inference(equality_resolution,[],[f2073]) ).
fof(f4190,plain,
! [X0,X4,X5] :
( subset_intersection2(X0,X4,X5) = apply_binary(the_L_meet(boole_lattice(X0)),X4,X5)
| ~ element(X5,powerset(X0))
| ~ element(X4,powerset(X0))
| ~ strict_latt_str(boole_lattice(X0))
| ~ latt_str(boole_lattice(X0)) ),
inference(equality_resolution,[],[f2072]) ).
fof(f4968,definition,
( spl573_1
<=> element(sK426,the_carrier(boole_lattice(sK425))) ),
introduced(definition,[new_symbols(definition,[spl573_1])],[avatar_definition]) ).
fof(f4970,plain,
( element(sK426,the_carrier(boole_lattice(sK425)))
| ~ spl573_1 ),
inference(avatar_component_clause,[],[f4968]) ).
fof(f4971,plain,
spl573_1,
inference(avatar_split_clause,[],[f3452,f4968]) ).
fof(f4981,plain,
( ! [X0] :
( meet(boole_lattice(sK425),sK426,X0) = apply_binary_as_element(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425)),the_L_meet(boole_lattice(sK425)),sK426,X0)
| ~ element(X0,the_carrier(boole_lattice(sK425)))
| empty_carrier(boole_lattice(sK425))
| ~ meet_semilatt_str(boole_lattice(sK425)) )
| ~ spl573_1 ),
inference(resolution,[],[f4970,f2153]) ).
fof(f5026,plain,
( element(sK426,powerset(sK425))
| ~ strict_latt_str(boole_lattice(sK425))
| ~ latt_str(boole_lattice(sK425))
| ~ spl573_1 ),
inference(superposition,[],[f4970,f4188]) ).
fof(f5027,plain,
( element(sK426,powerset(sK425))
| ~ latt_str(boole_lattice(sK425))
| ~ spl573_1 ),
inference(forward_subsumption_resolution,[],[f5026,f2375]) ).
fof(f5055,plain,
( ! [X0] :
( meet(boole_lattice(sK425),sK426,X0) = apply_binary_as_element(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425)),the_L_meet(boole_lattice(sK425)),sK426,X0)
| ~ element(X0,the_carrier(boole_lattice(sK425)))
| ~ meet_semilatt_str(boole_lattice(sK425)) )
| ~ spl573_1 ),
inference(forward_subsumption_resolution,[],[f4981,f2453]) ).
fof(f5065,plain,
( element(sK426,powerset(sK425))
| ~ spl573_1 ),
inference(forward_subsumption_resolution,[],[f5027,f2374]) ).
fof(f5078,definition,
( spl573_2
<=> meet(boole_lattice(sK425),sK426,sK427) = set_difference(sK426,set_difference(sK426,sK427)) ),
introduced(definition,[new_symbols(definition,[spl573_2])],[avatar_definition]) ).
fof(f5080,plain,
( meet(boole_lattice(sK425),sK426,sK427) != set_difference(sK426,set_difference(sK426,sK427))
| spl573_2 ),
inference(avatar_component_clause,[],[f5078]) ).
fof(f5082,definition,
( spl573_3
<=> set_union2(sK426,sK427) = join(boole_lattice(sK425),sK426,sK427) ),
introduced(definition,[new_symbols(definition,[spl573_3])],[avatar_definition]) ).
fof(f5084,plain,
( set_union2(sK426,sK427) != join(boole_lattice(sK425),sK426,sK427)
| spl573_3 ),
inference(avatar_component_clause,[],[f5082]) ).
fof(f5085,plain,
( ~ spl573_2
| ~ spl573_3 ),
inference(avatar_split_clause,[],[f4097,f5082,f5078]) ).
fof(f5090,definition,
( spl573_4
<=> element(sK427,the_carrier(boole_lattice(sK425))) ),
introduced(definition,[new_symbols(definition,[spl573_4])],[avatar_definition]) ).
fof(f5092,plain,
( element(sK427,the_carrier(boole_lattice(sK425)))
| ~ spl573_4 ),
inference(avatar_component_clause,[],[f5090]) ).
fof(f5093,plain,
spl573_4,
inference(avatar_split_clause,[],[f3453,f5090]) ).
fof(f5100,plain,
( ! [X0] :
( join(boole_lattice(sK425),X0,sK427) = apply_binary_as_element(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425)),the_L_join(boole_lattice(sK425)),X0,sK427)
| ~ element(X0,the_carrier(boole_lattice(sK425)))
| empty_carrier(boole_lattice(sK425))
| ~ join_semilatt_str(boole_lattice(sK425)) )
| ~ spl573_4 ),
inference(resolution,[],[f5092,f2078]) ).
fof(f5148,plain,
( element(sK427,powerset(sK425))
| ~ strict_latt_str(boole_lattice(sK425))
| ~ latt_str(boole_lattice(sK425))
| ~ spl573_4 ),
inference(superposition,[],[f5092,f4188]) ).
fof(f5149,plain,
( element(sK427,powerset(sK425))
| ~ latt_str(boole_lattice(sK425))
| ~ spl573_4 ),
inference(forward_subsumption_resolution,[],[f5148,f2375]) ).
fof(f5180,plain,
( ! [X0] :
( join(boole_lattice(sK425),X0,sK427) = apply_binary_as_element(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425)),the_L_join(boole_lattice(sK425)),X0,sK427)
| ~ element(X0,the_carrier(boole_lattice(sK425)))
| ~ join_semilatt_str(boole_lattice(sK425)) )
| ~ spl573_4 ),
inference(forward_subsumption_resolution,[],[f5100,f2453]) ).
fof(f5187,plain,
( element(sK427,powerset(sK425))
| ~ spl573_4 ),
inference(forward_subsumption_resolution,[],[f5149,f2374]) ).
fof(f5292,definition,
( spl573_7
<=> element(sK427,powerset(sK425)) ),
introduced(definition,[new_symbols(definition,[spl573_7])],[avatar_definition]) ).
fof(f5294,plain,
( element(sK427,powerset(sK425))
| ~ spl573_7 ),
inference(avatar_component_clause,[],[f5292]) ).
fof(f5295,plain,
( spl573_7
| ~ spl573_4 ),
inference(avatar_split_clause,[],[f5187,f5090,f5292]) ).
fof(f5297,definition,
( spl573_8
<=> element(sK426,powerset(sK425)) ),
introduced(definition,[new_symbols(definition,[spl573_8])],[avatar_definition]) ).
fof(f5299,plain,
( element(sK426,powerset(sK425))
| ~ spl573_8 ),
inference(avatar_component_clause,[],[f5297]) ).
fof(f5300,plain,
( spl573_8
| ~ spl573_1 ),
inference(avatar_split_clause,[],[f5065,f4968,f5297]) ).
fof(f5330,plain,
( ! [X0] :
( subset_union2(sK425,sK427,X0) = set_union2(sK427,X0)
| ~ element(X0,powerset(sK425)) )
| ~ spl573_7 ),
inference(resolution,[],[f5294,f2740]) ).
fof(f5420,plain,
( ! [X0] :
( subset_union2(sK425,sK426,X0) = apply_binary(the_L_join(boole_lattice(sK425)),sK426,X0)
| ~ element(X0,powerset(sK425))
| ~ strict_latt_str(boole_lattice(sK425))
| ~ latt_str(boole_lattice(sK425)) )
| ~ spl573_8 ),
inference(resolution,[],[f5299,f4189]) ).
fof(f5459,plain,
( ! [X0] :
( subset_union2(sK425,sK426,X0) = apply_binary(the_L_join(boole_lattice(sK425)),sK426,X0)
| ~ element(X0,powerset(sK425))
| ~ latt_str(boole_lattice(sK425)) )
| ~ spl573_8 ),
inference(forward_subsumption_resolution,[],[f5420,f2375]) ).
fof(f5465,plain,
( ! [X0] :
( subset_union2(sK425,sK426,X0) = apply_binary(the_L_join(boole_lattice(sK425)),sK426,X0)
| ~ element(X0,powerset(sK425)) )
| ~ spl573_8 ),
inference(forward_subsumption_resolution,[],[f5459,f2374]) ).
fof(f5520,definition,
( spl573_12
<=> ! [X2,X0,X1] :
( subset_intersection2(X0,X1,X2) = set_difference(X1,set_difference(X1,X2))
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl573_12])],[avatar_definition]) ).
fof(f5521,plain,
( ! [X2,X0,X1] :
( subset_intersection2(X0,X1,X2) = set_difference(X1,set_difference(X1,X2))
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) )
| ~ spl573_12 ),
inference(avatar_component_clause,[],[f5520]) ).
fof(f5522,plain,
spl573_12,
inference(avatar_split_clause,[],[f3896,f5520]) ).
fof(f5654,definition,
( spl573_22
<=> ! [X0] :
( subset_union2(sK425,sK427,X0) = set_union2(sK427,X0)
| ~ element(X0,powerset(sK425)) ) ),
introduced(definition,[new_symbols(definition,[spl573_22])],[avatar_definition]) ).
fof(f5655,plain,
( ! [X0] :
( subset_union2(sK425,sK427,X0) = set_union2(sK427,X0)
| ~ element(X0,powerset(sK425)) )
| ~ spl573_22 ),
inference(avatar_component_clause,[],[f5654]) ).
fof(f5656,plain,
( spl573_22
| ~ spl573_7 ),
inference(avatar_split_clause,[],[f5330,f5292,f5654]) ).
fof(f5663,plain,
( ! [X0] :
( subset_union2(sK425,X0,sK427) = set_union2(sK427,X0)
| ~ element(sK427,powerset(sK425))
| ~ element(X0,powerset(sK425))
| ~ element(X0,powerset(sK425)) )
| ~ spl573_22 ),
inference(superposition,[],[f1979,f5655]) ).
fof(f5664,plain,
( ! [X0] :
( subset_union2(sK425,X0,sK427) = set_union2(sK427,X0)
| ~ element(sK427,powerset(sK425))
| ~ element(X0,powerset(sK425)) )
| ~ spl573_22 ),
inference(duplicate_literal_removal,[],[f5663]) ).
fof(f5671,plain,
( ! [X0] :
( subset_union2(sK425,X0,sK427) = set_union2(sK427,X0)
| ~ element(X0,powerset(sK425)) )
| ~ spl573_7
| ~ spl573_22 ),
inference(forward_subsumption_resolution,[],[f5664,f5294]) ).
fof(f6157,definition,
( spl573_34
<=> ! [X0] :
( subset_union2(sK425,X0,sK427) = set_union2(sK427,X0)
| ~ element(X0,powerset(sK425)) ) ),
introduced(definition,[new_symbols(definition,[spl573_34])],[avatar_definition]) ).
fof(f6158,plain,
( ! [X0] :
( subset_union2(sK425,X0,sK427) = set_union2(sK427,X0)
| ~ element(X0,powerset(sK425)) )
| ~ spl573_34 ),
inference(avatar_component_clause,[],[f6157]) ).
fof(f6159,plain,
( spl573_34
| ~ spl573_7
| ~ spl573_22 ),
inference(avatar_split_clause,[],[f5671,f5654,f5292,f6157]) ).
fof(f6888,definition,
( spl573_61
<=> join_semilatt_str(boole_lattice(sK425)) ),
introduced(definition,[new_symbols(definition,[spl573_61])],[avatar_definition]) ).
fof(f6889,plain,
( join_semilatt_str(boole_lattice(sK425))
| ~ spl573_61 ),
inference(avatar_component_clause,[],[f6888]) ).
fof(f6890,plain,
( ~ join_semilatt_str(boole_lattice(sK425))
| spl573_61 ),
inference(avatar_component_clause,[],[f6888]) ).
fof(f6895,plain,
( ~ latt_str(boole_lattice(sK425))
| spl573_61 ),
inference(resolution,[],[f6890,f2409]) ).
fof(f6902,plain,
( $false
| spl573_61 ),
inference(forward_subsumption_resolution,[],[f6895,f2374]) ).
fof(f6903,plain,
spl573_61,
inference(avatar_contradiction_clause,[],[f6902]) ).
fof(f6927,plain,
( ! [X0] :
( join(boole_lattice(sK425),X0,sK427) = apply_binary_as_element(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425)),the_L_join(boole_lattice(sK425)),X0,sK427)
| ~ element(X0,the_carrier(boole_lattice(sK425))) )
| ~ spl573_4
| ~ spl573_61 ),
inference(backward_subsumption_resolution,[],[f5180,f6889]) ).
fof(f6935,plain,
( one_sorted_str(boole_lattice(sK425))
| ~ spl573_61 ),
inference(resolution,[],[f6889,f2408]) ).
fof(f6936,plain,
( relation_of2_as_subset(the_L_join(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ spl573_61 ),
inference(resolution,[],[f6889,f2418]) ).
fof(f6937,plain,
( quasi_total(the_L_join(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ spl573_61 ),
inference(resolution,[],[f6889,f2419]) ).
fof(f6938,plain,
( function(the_L_join(boole_lattice(sK425)))
| ~ spl573_61 ),
inference(resolution,[],[f6889,f2420]) ).
fof(f6969,definition,
( spl573_63
<=> one_sorted_str(boole_lattice(sK425)) ),
introduced(definition,[new_symbols(definition,[spl573_63])],[avatar_definition]) ).
fof(f6971,plain,
( one_sorted_str(boole_lattice(sK425))
| ~ spl573_63 ),
inference(avatar_component_clause,[],[f6969]) ).
fof(f6972,plain,
( spl573_63
| ~ spl573_61 ),
inference(avatar_split_clause,[],[f6935,f6888,f6969]) ).
fof(f6987,plain,
( ~ empty(the_carrier(boole_lattice(sK425)))
| empty_carrier(boole_lattice(sK425))
| ~ spl573_63 ),
inference(resolution,[],[f6971,f2466]) ).
fof(f7065,plain,
( ~ empty(the_carrier(boole_lattice(sK425)))
| ~ spl573_63 ),
inference(forward_subsumption_resolution,[],[f6987,f2453]) ).
fof(f7108,definition,
( spl573_65
<=> relation_of2(the_L_join(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425))) ),
introduced(definition,[new_symbols(definition,[spl573_65])],[avatar_definition]) ).
fof(f7109,plain,
( relation_of2(the_L_join(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ spl573_65 ),
inference(avatar_component_clause,[],[f7108]) ).
fof(f7110,plain,
( ~ relation_of2(the_L_join(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| spl573_65 ),
inference(avatar_component_clause,[],[f7108]) ).
fof(f7115,plain,
( ~ relation_of2_as_subset(the_L_join(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| spl573_65 ),
inference(resolution,[],[f7110,f2746]) ).
fof(f7124,plain,
( $false
| ~ spl573_61
| spl573_65 ),
inference(forward_subsumption_resolution,[],[f7115,f6936]) ).
fof(f7125,plain,
( ~ spl573_61
| spl573_65 ),
inference(avatar_contradiction_clause,[],[f7124]) ).
fof(f7196,definition,
( spl573_70
<=> ! [X0] :
( join(boole_lattice(sK425),X0,sK427) = apply_binary_as_element(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425)),the_L_join(boole_lattice(sK425)),X0,sK427)
| ~ element(X0,the_carrier(boole_lattice(sK425))) ) ),
introduced(definition,[new_symbols(definition,[spl573_70])],[avatar_definition]) ).
fof(f7197,plain,
( ! [X0] :
( join(boole_lattice(sK425),X0,sK427) = apply_binary_as_element(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425)),the_L_join(boole_lattice(sK425)),X0,sK427)
| ~ element(X0,the_carrier(boole_lattice(sK425))) )
| ~ spl573_70 ),
inference(avatar_component_clause,[],[f7196]) ).
fof(f7198,plain,
( spl573_70
| ~ spl573_4
| ~ spl573_61 ),
inference(avatar_split_clause,[],[f6927,f6888,f5090,f7196]) ).
fof(f7204,plain,
( ! [X0] :
( join(boole_lattice(sK425),X0,sK427) = apply_binary(the_L_join(boole_lattice(sK425)),X0,sK427)
| empty(the_carrier(boole_lattice(sK425)))
| empty(the_carrier(boole_lattice(sK425)))
| ~ function(the_L_join(boole_lattice(sK425)))
| ~ quasi_total(the_L_join(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ relation_of2(the_L_join(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ element(X0,the_carrier(boole_lattice(sK425)))
| ~ element(sK427,the_carrier(boole_lattice(sK425)))
| ~ element(X0,the_carrier(boole_lattice(sK425))) )
| ~ spl573_70 ),
inference(superposition,[],[f2736,f7197]) ).
fof(f7207,plain,
( ! [X0] :
( join(boole_lattice(sK425),X0,sK427) = apply_binary(the_L_join(boole_lattice(sK425)),X0,sK427)
| empty(the_carrier(boole_lattice(sK425)))
| ~ function(the_L_join(boole_lattice(sK425)))
| ~ quasi_total(the_L_join(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ relation_of2(the_L_join(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ element(X0,the_carrier(boole_lattice(sK425)))
| ~ element(sK427,the_carrier(boole_lattice(sK425))) )
| ~ spl573_70 ),
inference(duplicate_literal_removal,[],[f7204]) ).
fof(f7209,plain,
( ! [X0] :
( join(boole_lattice(sK425),X0,sK427) = apply_binary(the_L_join(boole_lattice(sK425)),X0,sK427)
| ~ function(the_L_join(boole_lattice(sK425)))
| ~ quasi_total(the_L_join(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ relation_of2(the_L_join(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ element(X0,the_carrier(boole_lattice(sK425)))
| ~ element(sK427,the_carrier(boole_lattice(sK425))) )
| ~ spl573_63
| ~ spl573_70 ),
inference(forward_subsumption_resolution,[],[f7207,f7065]) ).
fof(f7212,plain,
( ! [X0] :
( join(boole_lattice(sK425),X0,sK427) = apply_binary(the_L_join(boole_lattice(sK425)),X0,sK427)
| ~ quasi_total(the_L_join(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ relation_of2(the_L_join(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ element(X0,the_carrier(boole_lattice(sK425)))
| ~ element(sK427,the_carrier(boole_lattice(sK425))) )
| ~ spl573_61
| ~ spl573_63
| ~ spl573_70 ),
inference(forward_subsumption_resolution,[],[f7209,f6938]) ).
fof(f7215,plain,
( ! [X0] :
( join(boole_lattice(sK425),X0,sK427) = apply_binary(the_L_join(boole_lattice(sK425)),X0,sK427)
| ~ relation_of2(the_L_join(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ element(X0,the_carrier(boole_lattice(sK425)))
| ~ element(sK427,the_carrier(boole_lattice(sK425))) )
| ~ spl573_61
| ~ spl573_63
| ~ spl573_70 ),
inference(forward_subsumption_resolution,[],[f7212,f6937]) ).
fof(f7217,plain,
( ! [X0] :
( join(boole_lattice(sK425),X0,sK427) = apply_binary(the_L_join(boole_lattice(sK425)),X0,sK427)
| ~ element(X0,the_carrier(boole_lattice(sK425)))
| ~ element(sK427,the_carrier(boole_lattice(sK425))) )
| ~ spl573_61
| ~ spl573_63
| ~ spl573_65
| ~ spl573_70 ),
inference(forward_subsumption_resolution,[],[f7215,f7109]) ).
fof(f7219,plain,
( ! [X0] :
( join(boole_lattice(sK425),X0,sK427) = apply_binary(the_L_join(boole_lattice(sK425)),X0,sK427)
| ~ element(X0,the_carrier(boole_lattice(sK425))) )
| ~ spl573_4
| ~ spl573_61
| ~ spl573_63
| ~ spl573_65
| ~ spl573_70 ),
inference(forward_subsumption_resolution,[],[f7217,f5092]) ).
fof(f7222,definition,
( spl573_71
<=> ! [X0] :
( join(boole_lattice(sK425),X0,sK427) = apply_binary(the_L_join(boole_lattice(sK425)),X0,sK427)
| ~ element(X0,the_carrier(boole_lattice(sK425))) ) ),
introduced(definition,[new_symbols(definition,[spl573_71])],[avatar_definition]) ).
fof(f7223,plain,
( ! [X0] :
( join(boole_lattice(sK425),X0,sK427) = apply_binary(the_L_join(boole_lattice(sK425)),X0,sK427)
| ~ element(X0,the_carrier(boole_lattice(sK425))) )
| ~ spl573_71 ),
inference(avatar_component_clause,[],[f7222]) ).
fof(f7224,plain,
( spl573_71
| ~ spl573_4
| ~ spl573_61
| ~ spl573_63
| ~ spl573_65
| ~ spl573_70 ),
inference(avatar_split_clause,[],[f7219,f7196,f7108,f6969,f6888,f5090,f7222]) ).
fof(f8784,definition,
( spl573_101
<=> ! [X0] :
( subset_union2(sK425,sK426,X0) = apply_binary(the_L_join(boole_lattice(sK425)),sK426,X0)
| ~ element(X0,powerset(sK425)) ) ),
introduced(definition,[new_symbols(definition,[spl573_101])],[avatar_definition]) ).
fof(f8785,plain,
( ! [X0] :
( subset_union2(sK425,sK426,X0) = apply_binary(the_L_join(boole_lattice(sK425)),sK426,X0)
| ~ element(X0,powerset(sK425)) )
| ~ spl573_101 ),
inference(avatar_component_clause,[],[f8784]) ).
fof(f8786,plain,
( spl573_101
| ~ spl573_8 ),
inference(avatar_split_clause,[],[f5465,f5297,f8784]) ).
fof(f8795,plain,
( join(boole_lattice(sK425),sK426,sK427) = subset_union2(sK425,sK426,sK427)
| ~ element(sK426,the_carrier(boole_lattice(sK425)))
| ~ element(sK427,powerset(sK425))
| ~ spl573_71
| ~ spl573_101 ),
inference(superposition,[],[f7223,f8785]) ).
fof(f8796,plain,
( join(boole_lattice(sK425),sK426,sK427) = subset_union2(sK425,sK426,sK427)
| ~ element(sK427,powerset(sK425))
| ~ spl573_1
| ~ spl573_71
| ~ spl573_101 ),
inference(forward_subsumption_resolution,[],[f8795,f4970]) ).
fof(f8798,plain,
( join(boole_lattice(sK425),sK426,sK427) = subset_union2(sK425,sK426,sK427)
| ~ spl573_1
| ~ spl573_7
| ~ spl573_71
| ~ spl573_101 ),
inference(forward_subsumption_resolution,[],[f8796,f5294]) ).
fof(f8801,definition,
( spl573_102
<=> join(boole_lattice(sK425),sK426,sK427) = subset_union2(sK425,sK426,sK427) ),
introduced(definition,[new_symbols(definition,[spl573_102])],[avatar_definition]) ).
fof(f8803,plain,
( join(boole_lattice(sK425),sK426,sK427) = subset_union2(sK425,sK426,sK427)
| ~ spl573_102 ),
inference(avatar_component_clause,[],[f8801]) ).
fof(f8804,plain,
( spl573_102
| ~ spl573_1
| ~ spl573_7
| ~ spl573_71
| ~ spl573_101 ),
inference(avatar_split_clause,[],[f8798,f8784,f7222,f5292,f4968,f8801]) ).
fof(f9202,definition,
( spl573_122
<=> meet_semilatt_str(boole_lattice(sK425)) ),
introduced(definition,[new_symbols(definition,[spl573_122])],[avatar_definition]) ).
fof(f9203,plain,
( meet_semilatt_str(boole_lattice(sK425))
| ~ spl573_122 ),
inference(avatar_component_clause,[],[f9202]) ).
fof(f9204,plain,
( ~ meet_semilatt_str(boole_lattice(sK425))
| spl573_122 ),
inference(avatar_component_clause,[],[f9202]) ).
fof(f9209,plain,
( ~ latt_str(boole_lattice(sK425))
| spl573_122 ),
inference(resolution,[],[f9204,f2410]) ).
fof(f9216,plain,
( $false
| spl573_122 ),
inference(forward_subsumption_resolution,[],[f9209,f2374]) ).
fof(f9217,plain,
spl573_122,
inference(avatar_contradiction_clause,[],[f9216]) ).
fof(f9224,plain,
( ! [X0] :
( meet(boole_lattice(sK425),sK426,X0) = apply_binary_as_element(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425)),the_L_meet(boole_lattice(sK425)),sK426,X0)
| ~ element(X0,the_carrier(boole_lattice(sK425))) )
| ~ spl573_1
| ~ spl573_122 ),
inference(backward_subsumption_resolution,[],[f5055,f9203]) ).
fof(f9276,plain,
( relation_of2_as_subset(the_L_meet(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ spl573_122 ),
inference(resolution,[],[f9203,f2413]) ).
fof(f9277,plain,
( quasi_total(the_L_meet(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ spl573_122 ),
inference(resolution,[],[f9203,f2414]) ).
fof(f9278,plain,
( function(the_L_meet(boole_lattice(sK425)))
| ~ spl573_122 ),
inference(resolution,[],[f9203,f2415]) ).
fof(f9309,definition,
( spl573_124
<=> relation_of2(the_L_meet(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425))) ),
introduced(definition,[new_symbols(definition,[spl573_124])],[avatar_definition]) ).
fof(f9310,plain,
( relation_of2(the_L_meet(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ spl573_124 ),
inference(avatar_component_clause,[],[f9309]) ).
fof(f9311,plain,
( ~ relation_of2(the_L_meet(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| spl573_124 ),
inference(avatar_component_clause,[],[f9309]) ).
fof(f9316,plain,
( ~ relation_of2_as_subset(the_L_meet(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| spl573_124 ),
inference(resolution,[],[f9311,f2746]) ).
fof(f9325,plain,
( $false
| ~ spl573_122
| spl573_124 ),
inference(forward_subsumption_resolution,[],[f9316,f9276]) ).
fof(f9326,plain,
( ~ spl573_122
| spl573_124 ),
inference(avatar_contradiction_clause,[],[f9325]) ).
fof(f9354,definition,
( spl573_127
<=> ! [X0] :
( meet(boole_lattice(sK425),sK426,X0) = apply_binary_as_element(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425)),the_L_meet(boole_lattice(sK425)),sK426,X0)
| ~ element(X0,the_carrier(boole_lattice(sK425))) ) ),
introduced(definition,[new_symbols(definition,[spl573_127])],[avatar_definition]) ).
fof(f9355,plain,
( ! [X0] :
( meet(boole_lattice(sK425),sK426,X0) = apply_binary_as_element(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425)),the_L_meet(boole_lattice(sK425)),sK426,X0)
| ~ element(X0,the_carrier(boole_lattice(sK425))) )
| ~ spl573_127 ),
inference(avatar_component_clause,[],[f9354]) ).
fof(f9356,plain,
( spl573_127
| ~ spl573_1
| ~ spl573_122 ),
inference(avatar_split_clause,[],[f9224,f9202,f4968,f9354]) ).
fof(f9362,plain,
( ! [X0] :
( meet(boole_lattice(sK425),sK426,X0) = apply_binary(the_L_meet(boole_lattice(sK425)),sK426,X0)
| empty(the_carrier(boole_lattice(sK425)))
| empty(the_carrier(boole_lattice(sK425)))
| ~ function(the_L_meet(boole_lattice(sK425)))
| ~ quasi_total(the_L_meet(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ relation_of2(the_L_meet(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ element(sK426,the_carrier(boole_lattice(sK425)))
| ~ element(X0,the_carrier(boole_lattice(sK425)))
| ~ element(X0,the_carrier(boole_lattice(sK425))) )
| ~ spl573_127 ),
inference(superposition,[],[f2736,f9355]) ).
fof(f9365,plain,
( ! [X0] :
( meet(boole_lattice(sK425),sK426,X0) = apply_binary(the_L_meet(boole_lattice(sK425)),sK426,X0)
| empty(the_carrier(boole_lattice(sK425)))
| ~ function(the_L_meet(boole_lattice(sK425)))
| ~ quasi_total(the_L_meet(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ relation_of2(the_L_meet(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ element(sK426,the_carrier(boole_lattice(sK425)))
| ~ element(X0,the_carrier(boole_lattice(sK425))) )
| ~ spl573_127 ),
inference(duplicate_literal_removal,[],[f9362]) ).
fof(f9367,plain,
( ! [X0] :
( meet(boole_lattice(sK425),sK426,X0) = apply_binary(the_L_meet(boole_lattice(sK425)),sK426,X0)
| ~ function(the_L_meet(boole_lattice(sK425)))
| ~ quasi_total(the_L_meet(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ relation_of2(the_L_meet(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ element(sK426,the_carrier(boole_lattice(sK425)))
| ~ element(X0,the_carrier(boole_lattice(sK425))) )
| ~ spl573_63
| ~ spl573_127 ),
inference(forward_subsumption_resolution,[],[f9365,f7065]) ).
fof(f9370,plain,
( ! [X0] :
( meet(boole_lattice(sK425),sK426,X0) = apply_binary(the_L_meet(boole_lattice(sK425)),sK426,X0)
| ~ quasi_total(the_L_meet(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ relation_of2(the_L_meet(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ element(sK426,the_carrier(boole_lattice(sK425)))
| ~ element(X0,the_carrier(boole_lattice(sK425))) )
| ~ spl573_63
| ~ spl573_122
| ~ spl573_127 ),
inference(forward_subsumption_resolution,[],[f9367,f9278]) ).
fof(f9373,plain,
( ! [X0] :
( meet(boole_lattice(sK425),sK426,X0) = apply_binary(the_L_meet(boole_lattice(sK425)),sK426,X0)
| ~ relation_of2(the_L_meet(boole_lattice(sK425)),cartesian_product2(the_carrier(boole_lattice(sK425)),the_carrier(boole_lattice(sK425))),the_carrier(boole_lattice(sK425)))
| ~ element(sK426,the_carrier(boole_lattice(sK425)))
| ~ element(X0,the_carrier(boole_lattice(sK425))) )
| ~ spl573_63
| ~ spl573_122
| ~ spl573_127 ),
inference(forward_subsumption_resolution,[],[f9370,f9277]) ).
fof(f9375,plain,
( ! [X0] :
( meet(boole_lattice(sK425),sK426,X0) = apply_binary(the_L_meet(boole_lattice(sK425)),sK426,X0)
| ~ element(sK426,the_carrier(boole_lattice(sK425)))
| ~ element(X0,the_carrier(boole_lattice(sK425))) )
| ~ spl573_63
| ~ spl573_122
| ~ spl573_124
| ~ spl573_127 ),
inference(forward_subsumption_resolution,[],[f9373,f9310]) ).
fof(f9377,plain,
( ! [X0] :
( meet(boole_lattice(sK425),sK426,X0) = apply_binary(the_L_meet(boole_lattice(sK425)),sK426,X0)
| ~ element(X0,the_carrier(boole_lattice(sK425))) )
| ~ spl573_1
| ~ spl573_63
| ~ spl573_122
| ~ spl573_124
| ~ spl573_127 ),
inference(forward_subsumption_resolution,[],[f9375,f4970]) ).
fof(f9380,definition,
( spl573_128
<=> ! [X0] :
( meet(boole_lattice(sK425),sK426,X0) = apply_binary(the_L_meet(boole_lattice(sK425)),sK426,X0)
| ~ element(X0,the_carrier(boole_lattice(sK425))) ) ),
introduced(definition,[new_symbols(definition,[spl573_128])],[avatar_definition]) ).
fof(f9381,plain,
( ! [X0] :
( meet(boole_lattice(sK425),sK426,X0) = apply_binary(the_L_meet(boole_lattice(sK425)),sK426,X0)
| ~ element(X0,the_carrier(boole_lattice(sK425))) )
| ~ spl573_128 ),
inference(avatar_component_clause,[],[f9380]) ).
fof(f9382,plain,
( spl573_128
| ~ spl573_1
| ~ spl573_63
| ~ spl573_122
| ~ spl573_124
| ~ spl573_127 ),
inference(avatar_split_clause,[],[f9377,f9354,f9309,f9202,f6969,f4968,f9380]) ).
fof(f9387,plain,
( ! [X0] :
( meet(boole_lattice(sK425),sK426,X0) = subset_intersection2(sK425,sK426,X0)
| ~ element(X0,powerset(sK425))
| ~ element(sK426,powerset(sK425))
| ~ strict_latt_str(boole_lattice(sK425))
| ~ latt_str(boole_lattice(sK425))
| ~ element(X0,the_carrier(boole_lattice(sK425))) )
| ~ spl573_128 ),
inference(superposition,[],[f4190,f9381]) ).
fof(f9388,plain,
( ! [X0] :
( meet(boole_lattice(sK425),sK426,X0) = subset_intersection2(sK425,sK426,X0)
| ~ element(X0,powerset(sK425))
| ~ strict_latt_str(boole_lattice(sK425))
| ~ latt_str(boole_lattice(sK425))
| ~ element(X0,the_carrier(boole_lattice(sK425))) )
| ~ spl573_8
| ~ spl573_128 ),
inference(forward_subsumption_resolution,[],[f9387,f5299]) ).
fof(f9390,plain,
( ! [X0] :
( meet(boole_lattice(sK425),sK426,X0) = subset_intersection2(sK425,sK426,X0)
| ~ element(X0,powerset(sK425))
| ~ latt_str(boole_lattice(sK425))
| ~ element(X0,the_carrier(boole_lattice(sK425))) )
| ~ spl573_8
| ~ spl573_128 ),
inference(forward_subsumption_resolution,[],[f9388,f2375]) ).
fof(f9392,plain,
( ! [X0] :
( meet(boole_lattice(sK425),sK426,X0) = subset_intersection2(sK425,sK426,X0)
| ~ element(X0,powerset(sK425))
| ~ element(X0,the_carrier(boole_lattice(sK425))) )
| ~ spl573_8
| ~ spl573_128 ),
inference(forward_subsumption_resolution,[],[f9390,f2374]) ).
fof(f9395,definition,
( spl573_129
<=> ! [X0] :
( meet(boole_lattice(sK425),sK426,X0) = subset_intersection2(sK425,sK426,X0)
| ~ element(X0,powerset(sK425))
| ~ element(X0,the_carrier(boole_lattice(sK425))) ) ),
introduced(definition,[new_symbols(definition,[spl573_129])],[avatar_definition]) ).
fof(f9396,plain,
( ! [X0] :
( meet(boole_lattice(sK425),sK426,X0) = subset_intersection2(sK425,sK426,X0)
| ~ element(X0,powerset(sK425))
| ~ element(X0,the_carrier(boole_lattice(sK425))) )
| ~ spl573_129 ),
inference(avatar_component_clause,[],[f9395]) ).
fof(f9397,plain,
( spl573_129
| ~ spl573_8
| ~ spl573_128 ),
inference(avatar_split_clause,[],[f9392,f9380,f5297,f9395]) ).
fof(f9401,plain,
( set_difference(sK426,set_difference(sK426,sK427)) != subset_intersection2(sK425,sK426,sK427)
| ~ element(sK427,powerset(sK425))
| ~ element(sK427,the_carrier(boole_lattice(sK425)))
| spl573_2
| ~ spl573_129 ),
inference(superposition,[],[f5080,f9396]) ).
fof(f9407,plain,
( set_difference(sK426,set_difference(sK426,sK427)) != subset_intersection2(sK425,sK426,sK427)
| ~ element(sK427,the_carrier(boole_lattice(sK425)))
| spl573_2
| ~ spl573_7
| ~ spl573_129 ),
inference(forward_subsumption_resolution,[],[f9401,f5294]) ).
fof(f9409,plain,
( set_difference(sK426,set_difference(sK426,sK427)) != subset_intersection2(sK425,sK426,sK427)
| spl573_2
| ~ spl573_4
| ~ spl573_7
| ~ spl573_129 ),
inference(forward_subsumption_resolution,[],[f9407,f5092]) ).
fof(f9412,definition,
( spl573_130
<=> set_difference(sK426,set_difference(sK426,sK427)) = subset_intersection2(sK425,sK426,sK427) ),
introduced(definition,[new_symbols(definition,[spl573_130])],[avatar_definition]) ).
fof(f9414,plain,
( set_difference(sK426,set_difference(sK426,sK427)) != subset_intersection2(sK425,sK426,sK427)
| spl573_130 ),
inference(avatar_component_clause,[],[f9412]) ).
fof(f9415,plain,
( ~ spl573_130
| spl573_2
| ~ spl573_4
| ~ spl573_7
| ~ spl573_129 ),
inference(avatar_split_clause,[],[f9409,f9395,f5292,f5090,f5078,f9412]) ).
fof(f9421,plain,
( ! [X0] :
( subset_intersection2(sK425,sK426,sK427) != subset_intersection2(X0,sK426,sK427)
| ~ element(sK426,powerset(X0))
| ~ element(sK427,powerset(X0)) )
| ~ spl573_12
| spl573_130 ),
inference(superposition,[],[f9414,f5521]) ).
fof(f11232,definition,
( spl573_177
<=> ! [X0] :
( subset_intersection2(sK425,sK426,sK427) != subset_intersection2(X0,sK426,sK427)
| ~ element(sK426,powerset(X0))
| ~ element(sK427,powerset(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl573_177])],[avatar_definition]) ).
fof(f11233,plain,
( ! [X0] :
( subset_intersection2(sK425,sK426,sK427) != subset_intersection2(X0,sK426,sK427)
| ~ element(sK426,powerset(X0))
| ~ element(sK427,powerset(X0)) )
| ~ spl573_177 ),
inference(avatar_component_clause,[],[f11232]) ).
fof(f11234,plain,
( spl573_177
| ~ spl573_12
| spl573_130 ),
inference(avatar_split_clause,[],[f9421,f9412,f5520,f11232]) ).
fof(f11236,plain,
( set_union2(sK426,sK427) != subset_union2(sK425,sK426,sK427)
| spl573_3
| ~ spl573_102 ),
inference(forward_demodulation,[],[f5084,f8803]) ).
fof(f11238,definition,
( spl573_178
<=> set_union2(sK426,sK427) = subset_union2(sK425,sK426,sK427) ),
introduced(definition,[new_symbols(definition,[spl573_178])],[avatar_definition]) ).
fof(f11240,plain,
( set_union2(sK426,sK427) != subset_union2(sK425,sK426,sK427)
| spl573_178 ),
inference(avatar_component_clause,[],[f11238]) ).
fof(f11241,plain,
( ~ spl573_178
| spl573_3
| ~ spl573_102 ),
inference(avatar_split_clause,[],[f11236,f8801,f5082,f11238]) ).
fof(f11243,plain,
( set_union2(sK426,sK427) != set_union2(sK427,sK426)
| ~ element(sK426,powerset(sK425))
| ~ spl573_34
| spl573_178 ),
inference(superposition,[],[f11240,f6158]) ).
fof(f11254,plain,
( ~ element(sK426,powerset(sK425))
| ~ spl573_34
| spl573_178 ),
inference(forward_subsumption_resolution,[],[f11243,f1975]) ).
fof(f11261,plain,
( $false
| ~ spl573_8
| ~ spl573_34
| spl573_178 ),
inference(forward_subsumption_resolution,[],[f11254,f5299]) ).
fof(f11262,plain,
( ~ spl573_8
| ~ spl573_34
| spl573_178 ),
inference(avatar_contradiction_clause,[],[f11261]) ).
fof(f16372,plain,
( ~ element(sK426,powerset(sK425))
| ~ element(sK427,powerset(sK425))
| ~ spl573_177 ),
inference(equality_resolution,[],[f11233]) ).
fof(f16374,plain,
( ~ element(sK427,powerset(sK425))
| ~ spl573_8
| ~ spl573_177 ),
inference(forward_subsumption_resolution,[],[f16372,f5299]) ).
fof(f16375,plain,
( $false
| ~ spl573_7
| ~ spl573_8
| ~ spl573_177 ),
inference(forward_subsumption_resolution,[],[f16374,f5294]) ).
fof(f16376,plain,
( ~ spl573_7
| ~ spl573_8
| ~ spl573_177 ),
inference(avatar_contradiction_clause,[],[f16375]) ).
cnf(s1,plain,
spl573_1,
inference(sat_conversion,[],[f4971]) ).
cnf(s2,plain,
( ~ spl573_2
| ~ spl573_3 ),
inference(sat_conversion,[],[f5085]) ).
cnf(s3,plain,
spl573_4,
inference(sat_conversion,[],[f5093]) ).
cnf(s6,plain,
( ~ spl573_4
| spl573_7 ),
inference(sat_conversion,[],[f5295]) ).
cnf(s7,plain,
( ~ spl573_1
| spl573_8 ),
inference(sat_conversion,[],[f5300]) ).
cnf(s11,plain,
spl573_12,
inference(sat_conversion,[],[f5522]) ).
cnf(s20,plain,
( ~ spl573_7
| spl573_22 ),
inference(sat_conversion,[],[f5656]) ).
cnf(s32,plain,
( ~ spl573_7
| ~ spl573_22
| spl573_34 ),
inference(sat_conversion,[],[f6159]) ).
cnf(s58,plain,
spl573_61,
inference(sat_conversion,[],[f6903]) ).
cnf(s59,plain,
( ~ spl573_61
| spl573_63 ),
inference(sat_conversion,[],[f6972]) ).
cnf(s62,plain,
( ~ spl573_61
| spl573_65 ),
inference(sat_conversion,[],[f7125]) ).
cnf(s66,plain,
( ~ spl573_4
| ~ spl573_61
| spl573_70 ),
inference(sat_conversion,[],[f7198]) ).
cnf(s67,plain,
( ~ spl573_4
| ~ spl573_61
| ~ spl573_63
| ~ spl573_65
| ~ spl573_70
| spl573_71 ),
inference(sat_conversion,[],[f7224]) ).
cnf(s96,plain,
( ~ spl573_8
| spl573_101 ),
inference(sat_conversion,[],[f8786]) ).
cnf(s97,plain,
( ~ spl573_1
| ~ spl573_7
| ~ spl573_71
| ~ spl573_101
| spl573_102 ),
inference(sat_conversion,[],[f8804]) ).
cnf(s117,plain,
spl573_122,
inference(sat_conversion,[],[f9217]) ).
cnf(s119,plain,
( ~ spl573_122
| spl573_124 ),
inference(sat_conversion,[],[f9326]) ).
cnf(s121,plain,
( ~ spl573_1
| ~ spl573_122
| spl573_127 ),
inference(sat_conversion,[],[f9356]) ).
cnf(s122,plain,
( ~ spl573_1
| ~ spl573_63
| ~ spl573_122
| ~ spl573_124
| ~ spl573_127
| spl573_128 ),
inference(sat_conversion,[],[f9382]) ).
cnf(s123,plain,
( ~ spl573_8
| ~ spl573_128
| spl573_129 ),
inference(sat_conversion,[],[f9397]) ).
cnf(s124,plain,
( spl573_2
| ~ spl573_4
| ~ spl573_7
| ~ spl573_129
| ~ spl573_130 ),
inference(sat_conversion,[],[f9415]) ).
cnf(s171,plain,
( ~ spl573_12
| spl573_130
| spl573_177 ),
inference(sat_conversion,[],[f11234]) ).
cnf(s172,plain,
( spl573_3
| ~ spl573_102
| ~ spl573_178 ),
inference(sat_conversion,[],[f11241]) ).
cnf(s177,plain,
( ~ spl573_8
| ~ spl573_34
| spl573_178 ),
inference(sat_conversion,[],[f11262]) ).
cnf(s279,plain,
( ~ spl573_7
| ~ spl573_8
| ~ spl573_177 ),
inference(sat_conversion,[],[f16376]) ).
cnf(s288,plain,
spl573_124,
inference(rat,[],[s119,s117]) ).
cnf(s291,plain,
spl573_65,
inference(rat,[],[s62,s58]) ).
cnf(s292,plain,
spl573_63,
inference(rat,[],[s59,s58]) ).
cnf(s313,plain,
spl573_70,
inference(rat,[],[s66,s58,s3]) ).
cnf(s315,plain,
spl573_7,
inference(rat,[],[s6,s3]) ).
cnf(s325,plain,
spl573_71,
inference(rat,[],[s67,s3,s292,s291,s58,s313]) ).
cnf(s343,plain,
spl573_22,
inference(rat,[],[s20,s315]) ).
cnf(s354,plain,
spl573_34,
inference(rat,[],[s32,s315,s343]) ).
cnf(s360,plain,
spl573_127,
inference(rat,[],[s121,s117,s1]) ).
cnf(s372,plain,
spl573_8,
inference(rat,[],[s7,s1]) ).
cnf(s376,plain,
spl573_128,
inference(rat,[],[s122,s1,s292,s288,s117,s360]) ).
cnf(s385,plain,
~ spl573_177,
inference(rat,[],[s279,s315,s372]) ).
cnf(s386,plain,
spl573_178,
inference(rat,[],[s177,s354,s372]) ).
cnf(s391,plain,
spl573_101,
inference(rat,[],[s96,s372]) ).
cnf(s403,plain,
spl573_129,
inference(rat,[],[s123,s372,s376]) ).
cnf(s407,plain,
spl573_130,
inference(rat,[],[s171,s11,s385]) ).
cnf(s411,plain,
spl573_102,
inference(rat,[],[s97,s1,s315,s325,s391]) ).
cnf(s419,plain,
spl573_2,
inference(rat,[],[s124,s407,s315,s3,s403]) ).
cnf(s423,plain,
spl573_3,
inference(rat,[],[s172,s386,s411]) ).
cnf(s426,plain,
$false,
inference(rat,[],[s2,s423,s419]) ).
fof(f16377,plain,
$false,
inference(avatar_sat_refutation,[],[s426]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU343+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n026.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 04:51:57 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.91/2.67 % (3465998)Detected formulas, will run a generic FOF schedule.
% 11.91/2.67 % (3466005)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=3551345570:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.91/2.67 % (3466006)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=289163557:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.91/2.67 % (3466009)dis-21_1_sil=8000:lcm=predicate:random_seed=622116395: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)
% 11.91/2.67 % (3466003)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=3412893041:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.91/2.67 % (3466007)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3146589369:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.91/2.67 % (3466004)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=2212850051:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.91/2.67 % (3466008)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=129557661:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.91/2.67 % (3466006)Instruction limit reached!
% 11.91/2.67 % (3466006)------------------------------
% 11.91/2.67 % (3466006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.67 % (3466006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.67 % (3466006)CaDiCaL version: 2.1.3
% 11.91/2.67 % (3466006)Termination reason: Instruction limit
% 11.91/2.67 % (3466006)Termination phase: Saturation
% 11.91/2.67 % (3466006)Time elapsed: 0.059 s
% 11.91/2.67 % (3466006)Peak memory usage: 91 MB
% 11.91/2.67 % (3466006)Instructions burned: 110 (million)
% 11.91/2.67 % (3466009)Instruction limit reached!
% 11.91/2.67 % (3466009)------------------------------
% 11.91/2.67 % (3466009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.67 % (3466009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.67 % (3466009)CaDiCaL version: 2.1.3
% 11.91/2.67 % (3466009)Termination reason: Instruction limit
% 11.91/2.67 % (3466009)Termination phase: Saturation
% 11.91/2.67 % (3466009)Time elapsed: 0.066 s
% 11.91/2.67 % (3466009)Peak memory usage: 91 MB
% 11.91/2.67 % (3466009)Instructions burned: 131 (million)
% 11.91/2.67 % (3466007)Instruction limit reached!
% 11.91/2.67 % (3466007)------------------------------
% 11.91/2.67 % (3466007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.67 % (3466007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.67 % (3466007)CaDiCaL version: 2.1.3
% 11.91/2.67 % (3466007)Termination reason: Instruction limit
% 11.91/2.67 % (3466007)Termination phase: Saturation
% 11.91/2.67 % (3466007)Time elapsed: 0.075 s
% 11.91/2.67 % (3466007)Peak memory usage: 91 MB
% 11.91/2.67 % (3466007)Instructions burned: 119 (million)
% 11.91/2.67 % (3466008)Instruction limit reached!
% 11.91/2.67 % (3466008)------------------------------
% 11.91/2.67 % (3466008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.67 % (3466008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.67 % (3466008)CaDiCaL version: 2.1.3
% 11.91/2.67 % (3466008)Termination reason: Instruction limit
% 11.91/2.67 % (3466008)Termination phase: Saturation
% 11.91/2.67 % (3466008)Time elapsed: 0.090 s
% 11.91/2.67 % (3466008)Peak memory usage: 92 MB
% 11.91/2.67 % (3466008)Instructions burned: 140 (million)
% 11.91/2.67 % (3466018)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3695514347:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.91/2.67 % (3466017)lrs+10_1_sil=8000:sp=occurrence:random_seed=200560946:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.91/2.67 % (3466019)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2746226645:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.91/2.67 % (3466020)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=1589260245:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 11.91/2.67 % (3466018)Instruction limit reached!
% 11.91/2.67 % (3466018)------------------------------
% 11.91/2.67 % (3466018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.67 % (3466018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.67 % (3466018)CaDiCaL version: 2.1.3
% 11.91/2.67 % (3466018)Termination reason: Instruction limit
% 11.91/2.67 % (3466018)Termination phase: Saturation
% 11.91/2.67 % (3466018)Time elapsed: 0.097 s
% 11.91/2.67 % (3466018)Peak memory usage: 91 MB
% 11.91/2.67 % (3466018)Instructions burned: 158 (million)
% 11.91/2.67 % (3466017)Instruction limit reached!
% 11.91/2.67 % (3466017)------------------------------
% 11.91/2.67 % (3466017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.67 % (3466017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.67 % (3466017)CaDiCaL version: 2.1.3
% 11.91/2.67 % (3466017)Termination reason: Instruction limit
% 11.91/2.67 % (3466017)Termination phase: Saturation
% 11.91/2.67 % (3466017)Time elapsed: 0.185 s
% 11.91/2.67 % (3466017)Peak memory usage: 95 MB
% 11.91/2.67 % (3466017)Instructions burned: 286 (million)
% 11.91/2.67 % (3466020)Instruction limit reached!
% 11.91/2.67 % (3466020)------------------------------
% 11.91/2.67 % (3466020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.67 % (3466020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.67 % (3466020)CaDiCaL version: 2.1.3
% 11.91/2.67 % (3466020)Termination reason: Instruction limit
% 11.91/2.67 % (3466020)Termination phase: Saturation
% 11.91/2.67 % (3466020)Time elapsed: 0.152 s
% 11.91/2.67 % (3466020)Peak memory usage: 94 MB
% 11.91/2.67 % (3466020)Instructions burned: 249 (million)
% 11.91/2.67 % (3466025)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1616428890:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.91/2.67 % (3466019)Instruction limit reached!
% 11.91/2.67 % (3466019)------------------------------
% 11.91/2.67 % (3466019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.67 % (3466019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.67 % (3466019)CaDiCaL version: 2.1.3
% 11.91/2.67 % (3466019)Termination reason: Instruction limit
% 11.91/2.67 % (3466019)Termination phase: Saturation
% 11.91/2.67 % (3466019)Time elapsed: 0.223 s
% 11.91/2.67 % (3466019)Peak memory usage: 95 MB
% 11.91/2.67 % (3466019)Instructions burned: 326 (million)
% 11.91/2.67 % (3466026)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=74144218:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 11.91/2.67 % (3466027)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=764123586:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 11.91/2.67 % (3466029)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=801329825:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 11.91/2.67 % (3466027)Instruction limit reached!
% 11.91/2.67 % (3466027)------------------------------
% 11.91/2.67 % (3466027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.67 % (3466027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.67 % (3466027)CaDiCaL version: 2.1.3
% 11.91/2.67 % (3466027)Termination reason: Instruction limit
% 11.91/2.67 % (3466027)Termination phase: Saturation
% 11.91/2.67 % (3466027)Time elapsed: 0.064 s
% 11.91/2.67 % (3466027)Peak memory usage: 92 MB
% 11.91/2.67 % (3466027)Instructions burned: 114 (million)
% 11.91/2.67 % (3466025)Instruction limit reached!
% 11.91/2.67 % (3466025)------------------------------
% 11.91/2.67 % (3466025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.67 % (3466025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.67 % (3466025)CaDiCaL version: 2.1.3
% 11.91/2.67 % (3466025)Termination reason: Instruction limit
% 11.91/2.67 % (3466025)Termination phase: Saturation
% 11.91/2.67 % (3466025)Time elapsed: 0.182 s
% 11.91/2.67 % (3466025)Peak memory usage: 93 MB
% 11.91/2.67 % (3466025)Instructions burned: 294 (million)
% 11.91/2.67 % (3466029)Instruction limit reached!
% 11.91/2.67 % (3466029)------------------------------
% 11.91/2.67 % (3466029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.67 % (3466029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.67 % (3466029)CaDiCaL version: 2.1.3
% 11.91/2.67 % (3466029)Termination reason: Instruction limit
% 11.91/2.67 % (3466029)Termination phase: Saturation
% 11.91/2.67 % (3466029)Time elapsed: 0.068 s
% 11.91/2.67 % (3466029)Peak memory usage: 91 MB
% 11.91/2.67 % (3466029)Instructions burned: 128 (million)
% 11.91/2.67 % (3466033)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1652987784:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 11.91/2.67 % (3466034)lrs+10_1_sil=8000:sp=occurrence:random_seed=428158847:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 11.91/2.67 % (3466035)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2267780442:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 11.91/2.67 % (3466033)Instruction limit reached!
% 11.91/2.67 % (3466033)------------------------------
% 11.91/2.67 % (3466033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.67 % (3466033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.67 % (3466033)CaDiCaL version: 2.1.3
% 11.91/2.67 % (3466033)Termination reason: Instruction limit
% 11.91/2.67 % (3466033)Termination phase: Saturation
% 11.91/2.67 % (3466033)Time elapsed: 0.069 s
% 11.91/2.67 % (3466033)Peak memory usage: 89 MB
% 11.91/2.67 % (3466033)Instructions burned: 115 (million)
% 11.91/2.67 % (3466039)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3288585313:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 11.91/2.67 % (3466035)Instruction limit reached!
% 11.91/2.67 % (3466035)------------------------------
% 11.91/2.67 % (3466035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.67 % (3466035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.67 % (3466035)CaDiCaL version: 2.1.3
% 11.91/2.67 % (3466035)Termination reason: Instruction limit
% 11.91/2.67 % (3466035)Termination phase: Saturation
% 11.91/2.67 % (3466035)Time elapsed: 0.267 s
% 11.91/2.67 % (3466035)Peak memory usage: 95 MB
% 11.91/2.67 % (3466035)Instructions burned: 439 (million)
% 11.91/2.67 % (3466041)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2864910057:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 11.91/2.67 % (3466041)Instruction limit reached!
% 11.91/2.67 % (3466041)------------------------------
% 11.91/2.67 % (3466041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.67 % (3466041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.67 % (3466041)CaDiCaL version: 2.1.3
% 11.91/2.67 % (3466041)Termination reason: Instruction limit
% 11.91/2.67 % (3466041)Termination phase: Saturation
% 11.91/2.67 % (3466041)Time elapsed: 0.070 s
% 11.91/2.67 % (3466041)Peak memory usage: 92 MB
% 11.91/2.67 % (3466041)Instructions burned: 134 (million)
% 11.91/2.67 % (3466034)Instruction limit reached!
% 11.91/2.67 % (3466034)------------------------------
% 11.91/2.67 % (3466034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.67 % (3466034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.67 % (3466034)CaDiCaL version: 2.1.3
% 11.91/2.67 % (3466034)Termination reason: Instruction limit
% 11.91/2.67 % (3466034)Termination phase: Saturation
% 11.91/2.67 % (3466034)Time elapsed: 0.579 s
% 11.91/2.67 % (3466034)Peak memory usage: 105 MB
% 11.91/2.67 % (3466034)Instructions burned: 908 (million)
% 11.91/2.67 % (3466043)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=934045251:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 11.91/2.67 % (3466044)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=701105897:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 11.91/2.67 % (3466005)First to succeed.
% 11.91/2.67 % (3466005)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3465998"
% 11.91/2.67 % (3466005)Refutation found. Thanks to Tanya!
% 11.91/2.67 % SZS status Theorem for theBenchmark
% 11.91/2.67 % SZS output start Proof for theBenchmark
% See solution above
% 13.17/2.86 % (3466005)------------------------------
% 13.17/2.86 % (3466005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.17/2.86 % (3466005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.17/2.86 % (3466005)CaDiCaL version: 2.1.3
% 13.17/2.86 % (3466005)Termination reason: Refutation
% 13.17/2.86 % (3466005)Time elapsed: 1.505 s
% 13.17/2.86 % (3466005)Peak memory usage: 164 MB
% 13.17/2.86 % (3466005)Instructions burned: 4206 (million)
% 13.17/2.86 % (3466005)------------------------------
% 13.17/2.86 % (3466005)------------------------------
% 13.17/2.86 % (3465998)Success in time 1.797 s
% 13.17/2.86 % Vampire exiting
%------------------------------------------------------------------------------