TSTP Solution File: SEU350+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU350+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 17:06:20 EDT 2023
% Result : Theorem 3.13s 1.15s
% Output : CNFRefutation 3.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 78 ( 14 unt; 0 def)
% Number of atoms : 318 ( 29 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 397 ( 157 ~; 169 |; 51 &)
% ( 5 <=>; 13 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 98 ( 0 sgn; 48 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> cast_to_el_of_LattPOSet(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_lattice3) ).
fof(f8,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(poset_of_lattice(X0)))
=> cast_to_el_of_lattice(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_lattice3) ).
fof(f16,axiom,
! [X0,X1] :
( ( element(X1,the_carrier(poset_of_lattice(X0)))
& latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> element(cast_to_el_of_lattice(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_lattice3) ).
fof(f58,axiom,
! [X0,X1] :
( ( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( latt_element_smaller(X1,X2,X0)
<=> relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_lattice3) ).
fof(f59,conjecture,
! [X0,X1] :
( ( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
=> ( relstr_set_smaller(poset_of_lattice(X1),X0,X2)
<=> latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_lattice3) ).
fof(f60,negated_conjecture,
~ ! [X0,X1] :
( ( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
=> ( relstr_set_smaller(poset_of_lattice(X1),X0,X2)
<=> latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) ) ) ),
inference(negated_conjecture,[],[f59]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_lattice(X0,X1) = X1
| ~ element(X1,the_carrier(poset_of_lattice(X0))) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_lattice(X0,X1) = X1
| ~ element(X1,the_carrier(poset_of_lattice(X0))) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f83]) ).
fof(f92,plain,
! [X0,X1] :
( element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f93,plain,
! [X0,X1] :
( element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f92]) ).
fof(f121,plain,
! [X0,X1] :
( ! [X2] :
( ( latt_element_smaller(X1,X2,X0)
<=> relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
| ~ element(X2,the_carrier(X1)) )
| ~ latt_str(X1)
| ~ lattice(X1)
| empty_carrier(X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f122,plain,
! [X0,X1] :
( ! [X2] :
( ( latt_element_smaller(X1,X2,X0)
<=> relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
| ~ element(X2,the_carrier(X1)) )
| ~ latt_str(X1)
| ~ lattice(X1)
| empty_carrier(X1) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
? [X0,X1] :
( ? [X2] :
( ( relstr_set_smaller(poset_of_lattice(X1),X0,X2)
<~> latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) )
& element(X2,the_carrier(poset_of_lattice(X1))) )
& latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f124,plain,
? [X0,X1] :
( ? [X2] :
( ( relstr_set_smaller(poset_of_lattice(X1),X0,X2)
<~> latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) )
& element(X2,the_carrier(poset_of_lattice(X1))) )
& latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) ),
inference(flattening,[],[f123]) ).
fof(f165,plain,
! [X0,X1] :
( ! [X2] :
( ( ( latt_element_smaller(X1,X2,X0)
| ~ relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
& ( relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| ~ latt_element_smaller(X1,X2,X0) ) )
| ~ element(X2,the_carrier(X1)) )
| ~ latt_str(X1)
| ~ lattice(X1)
| empty_carrier(X1) ),
inference(nnf_transformation,[],[f122]) ).
fof(f166,plain,
? [X0,X1] :
( ? [X2] :
( ( ~ latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X0)
| ~ relstr_set_smaller(poset_of_lattice(X1),X0,X2) )
& ( latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X0)
| relstr_set_smaller(poset_of_lattice(X1),X0,X2) )
& element(X2,the_carrier(poset_of_lattice(X1))) )
& latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) ),
inference(nnf_transformation,[],[f124]) ).
fof(f167,plain,
? [X0,X1] :
( ? [X2] :
( ( ~ latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X0)
| ~ relstr_set_smaller(poset_of_lattice(X1),X0,X2) )
& ( latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X0)
| relstr_set_smaller(poset_of_lattice(X1),X0,X2) )
& element(X2,the_carrier(poset_of_lattice(X1))) )
& latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) ),
inference(flattening,[],[f166]) ).
fof(f168,plain,
( ? [X0,X1] :
( ? [X2] :
( ( ~ latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X0)
| ~ relstr_set_smaller(poset_of_lattice(X1),X0,X2) )
& ( latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X0)
| relstr_set_smaller(poset_of_lattice(X1),X0,X2) )
& element(X2,the_carrier(poset_of_lattice(X1))) )
& latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) )
=> ( ? [X2] :
( ( ~ latt_element_smaller(sK17,cast_to_el_of_lattice(sK17,X2),sK16)
| ~ relstr_set_smaller(poset_of_lattice(sK17),sK16,X2) )
& ( latt_element_smaller(sK17,cast_to_el_of_lattice(sK17,X2),sK16)
| relstr_set_smaller(poset_of_lattice(sK17),sK16,X2) )
& element(X2,the_carrier(poset_of_lattice(sK17))) )
& latt_str(sK17)
& lattice(sK17)
& ~ empty_carrier(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
( ? [X2] :
( ( ~ latt_element_smaller(sK17,cast_to_el_of_lattice(sK17,X2),sK16)
| ~ relstr_set_smaller(poset_of_lattice(sK17),sK16,X2) )
& ( latt_element_smaller(sK17,cast_to_el_of_lattice(sK17,X2),sK16)
| relstr_set_smaller(poset_of_lattice(sK17),sK16,X2) )
& element(X2,the_carrier(poset_of_lattice(sK17))) )
=> ( ( ~ latt_element_smaller(sK17,cast_to_el_of_lattice(sK17,sK18),sK16)
| ~ relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18) )
& ( latt_element_smaller(sK17,cast_to_el_of_lattice(sK17,sK18),sK16)
| relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18) )
& element(sK18,the_carrier(poset_of_lattice(sK17))) ) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
( ( ~ latt_element_smaller(sK17,cast_to_el_of_lattice(sK17,sK18),sK16)
| ~ relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18) )
& ( latt_element_smaller(sK17,cast_to_el_of_lattice(sK17,sK18),sK16)
| relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18) )
& element(sK18,the_carrier(poset_of_lattice(sK17)))
& latt_str(sK17)
& lattice(sK17)
& ~ empty_carrier(sK17) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18])],[f167,f169,f168]) ).
fof(f183,plain,
! [X0,X1] :
( cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f184,plain,
! [X0,X1] :
( cast_to_el_of_lattice(X0,X1) = X1
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f198,plain,
! [X0,X1] :
( element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f259,plain,
! [X2,X0,X1] :
( relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| ~ latt_element_smaller(X1,X2,X0)
| ~ element(X2,the_carrier(X1))
| ~ latt_str(X1)
| ~ lattice(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f260,plain,
! [X2,X0,X1] :
( latt_element_smaller(X1,X2,X0)
| ~ relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| ~ element(X2,the_carrier(X1))
| ~ latt_str(X1)
| ~ lattice(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f261,plain,
~ empty_carrier(sK17),
inference(cnf_transformation,[],[f170]) ).
fof(f262,plain,
lattice(sK17),
inference(cnf_transformation,[],[f170]) ).
fof(f263,plain,
latt_str(sK17),
inference(cnf_transformation,[],[f170]) ).
fof(f264,plain,
element(sK18,the_carrier(poset_of_lattice(sK17))),
inference(cnf_transformation,[],[f170]) ).
fof(f265,plain,
( latt_element_smaller(sK17,cast_to_el_of_lattice(sK17,sK18),sK16)
| relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18) ),
inference(cnf_transformation,[],[f170]) ).
fof(f266,plain,
( ~ latt_element_smaller(sK17,cast_to_el_of_lattice(sK17,sK18),sK16)
| ~ relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18) ),
inference(cnf_transformation,[],[f170]) ).
cnf(c_59,plain,
( ~ element(X0,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1)
| cast_to_el_of_LattPOSet(X1,X0) = X0
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f183]) ).
cnf(c_60,plain,
( ~ element(X0,the_carrier(poset_of_lattice(X1)))
| ~ lattice(X1)
| ~ latt_str(X1)
| cast_to_el_of_lattice(X1,X0) = X0
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f184]) ).
cnf(c_74,plain,
( ~ element(X0,the_carrier(poset_of_lattice(X1)))
| ~ lattice(X1)
| ~ latt_str(X1)
| element(cast_to_el_of_lattice(X1,X0),the_carrier(X1))
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_135,plain,
( ~ relstr_set_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2))
| ~ element(X2,the_carrier(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| latt_element_smaller(X0,X2,X1)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f260]) ).
cnf(c_136,plain,
( ~ latt_element_smaller(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| relstr_set_smaller(poset_of_lattice(X0),X2,cast_to_el_of_LattPOSet(X0,X1))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f259]) ).
cnf(c_137,negated_conjecture,
( ~ latt_element_smaller(sK17,cast_to_el_of_lattice(sK17,sK18),sK16)
| ~ relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18) ),
inference(cnf_transformation,[],[f266]) ).
cnf(c_138,negated_conjecture,
( latt_element_smaller(sK17,cast_to_el_of_lattice(sK17,sK18),sK16)
| relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18) ),
inference(cnf_transformation,[],[f265]) ).
cnf(c_139,negated_conjecture,
element(sK18,the_carrier(poset_of_lattice(sK17))),
inference(cnf_transformation,[],[f264]) ).
cnf(c_140,negated_conjecture,
latt_str(sK17),
inference(cnf_transformation,[],[f263]) ).
cnf(c_141,negated_conjecture,
lattice(sK17),
inference(cnf_transformation,[],[f262]) ).
cnf(c_142,negated_conjecture,
~ empty_carrier(sK17),
inference(cnf_transformation,[],[f261]) ).
cnf(c_223,plain,
( ~ relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18)
| ~ latt_element_smaller(sK17,cast_to_el_of_lattice(sK17,sK18),sK16) ),
inference(prop_impl_just,[status(thm)],[c_137]) ).
cnf(c_224,plain,
( ~ latt_element_smaller(sK17,cast_to_el_of_lattice(sK17,sK18),sK16)
| ~ relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18) ),
inference(renaming,[status(thm)],[c_223]) ).
cnf(c_225,plain,
( relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18)
| latt_element_smaller(sK17,cast_to_el_of_lattice(sK17,sK18),sK16) ),
inference(prop_impl_just,[status(thm)],[c_138]) ).
cnf(c_226,plain,
( latt_element_smaller(sK17,cast_to_el_of_lattice(sK17,sK18),sK16)
| relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18) ),
inference(renaming,[status(thm)],[c_225]) ).
cnf(c_1616,plain,
( cast_to_el_of_lattice(sK17,sK18) != X2
| X0 != sK17
| X1 != sK16
| ~ relstr_set_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2))
| ~ relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18)
| ~ element(X2,the_carrier(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_135,c_224]) ).
cnf(c_1617,plain,
( ~ relstr_set_smaller(poset_of_lattice(sK17),sK16,cast_to_el_of_LattPOSet(sK17,cast_to_el_of_lattice(sK17,sK18)))
| ~ element(cast_to_el_of_lattice(sK17,sK18),the_carrier(sK17))
| ~ relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18)
| ~ lattice(sK17)
| ~ latt_str(sK17)
| empty_carrier(sK17) ),
inference(unflattening,[status(thm)],[c_1616]) ).
cnf(c_1618,plain,
( ~ relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18)
| ~ element(cast_to_el_of_lattice(sK17,sK18),the_carrier(sK17))
| ~ relstr_set_smaller(poset_of_lattice(sK17),sK16,cast_to_el_of_LattPOSet(sK17,cast_to_el_of_lattice(sK17,sK18))) ),
inference(global_subsumption_just,[status(thm)],[c_1617,c_141,c_140,c_142,c_1617]) ).
cnf(c_1619,plain,
( ~ relstr_set_smaller(poset_of_lattice(sK17),sK16,cast_to_el_of_LattPOSet(sK17,cast_to_el_of_lattice(sK17,sK18)))
| ~ element(cast_to_el_of_lattice(sK17,sK18),the_carrier(sK17))
| ~ relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18) ),
inference(renaming,[status(thm)],[c_1618]) ).
cnf(c_1629,plain,
( cast_to_el_of_lattice(sK17,sK18) != X1
| X0 != sK17
| X2 != sK16
| ~ element(X1,the_carrier(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| relstr_set_smaller(poset_of_lattice(X0),X2,cast_to_el_of_LattPOSet(X0,X1))
| relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18)
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_136,c_226]) ).
cnf(c_1630,plain,
( ~ element(cast_to_el_of_lattice(sK17,sK18),the_carrier(sK17))
| ~ lattice(sK17)
| ~ latt_str(sK17)
| relstr_set_smaller(poset_of_lattice(sK17),sK16,cast_to_el_of_LattPOSet(sK17,cast_to_el_of_lattice(sK17,sK18)))
| relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18)
| empty_carrier(sK17) ),
inference(unflattening,[status(thm)],[c_1629]) ).
cnf(c_1631,plain,
( relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18)
| relstr_set_smaller(poset_of_lattice(sK17),sK16,cast_to_el_of_LattPOSet(sK17,cast_to_el_of_lattice(sK17,sK18)))
| ~ element(cast_to_el_of_lattice(sK17,sK18),the_carrier(sK17)) ),
inference(global_subsumption_just,[status(thm)],[c_1630,c_141,c_140,c_142,c_1630]) ).
cnf(c_1632,plain,
( ~ element(cast_to_el_of_lattice(sK17,sK18),the_carrier(sK17))
| relstr_set_smaller(poset_of_lattice(sK17),sK16,cast_to_el_of_LattPOSet(sK17,cast_to_el_of_lattice(sK17,sK18)))
| relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18) ),
inference(renaming,[status(thm)],[c_1631]) ).
cnf(c_1697,plain,
( X0 != sK17
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ~ latt_str(X0)
| element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_74,c_141]) ).
cnf(c_1698,plain,
( ~ element(X0,the_carrier(poset_of_lattice(sK17)))
| ~ latt_str(sK17)
| element(cast_to_el_of_lattice(sK17,X0),the_carrier(sK17))
| empty_carrier(sK17) ),
inference(unflattening,[status(thm)],[c_1697]) ).
cnf(c_1700,plain,
( element(cast_to_el_of_lattice(sK17,X0),the_carrier(sK17))
| ~ element(X0,the_carrier(poset_of_lattice(sK17))) ),
inference(global_subsumption_just,[status(thm)],[c_1698,c_140,c_142,c_1698]) ).
cnf(c_1701,plain,
( ~ element(X0,the_carrier(poset_of_lattice(sK17)))
| element(cast_to_el_of_lattice(sK17,X0),the_carrier(sK17)) ),
inference(renaming,[status(thm)],[c_1700]) ).
cnf(c_1721,plain,
( X0 != sK17
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ~ latt_str(X0)
| cast_to_el_of_lattice(X0,X1) = X1
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_60,c_141]) ).
cnf(c_1722,plain,
( ~ element(X0,the_carrier(poset_of_lattice(sK17)))
| ~ latt_str(sK17)
| cast_to_el_of_lattice(sK17,X0) = X0
| empty_carrier(sK17) ),
inference(unflattening,[status(thm)],[c_1721]) ).
cnf(c_1724,plain,
( cast_to_el_of_lattice(sK17,X0) = X0
| ~ element(X0,the_carrier(poset_of_lattice(sK17))) ),
inference(global_subsumption_just,[status(thm)],[c_1722,c_140,c_142,c_1722]) ).
cnf(c_1725,plain,
( ~ element(X0,the_carrier(poset_of_lattice(sK17)))
| cast_to_el_of_lattice(sK17,X0) = X0 ),
inference(renaming,[status(thm)],[c_1724]) ).
cnf(c_1733,plain,
( X0 != sK17
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| cast_to_el_of_LattPOSet(X0,X1) = X1
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_59,c_141]) ).
cnf(c_1734,plain,
( ~ element(X0,the_carrier(sK17))
| ~ latt_str(sK17)
| cast_to_el_of_LattPOSet(sK17,X0) = X0
| empty_carrier(sK17) ),
inference(unflattening,[status(thm)],[c_1733]) ).
cnf(c_1736,plain,
( cast_to_el_of_LattPOSet(sK17,X0) = X0
| ~ element(X0,the_carrier(sK17)) ),
inference(global_subsumption_just,[status(thm)],[c_1734,c_140,c_142,c_1734]) ).
cnf(c_1737,plain,
( ~ element(X0,the_carrier(sK17))
| cast_to_el_of_LattPOSet(sK17,X0) = X0 ),
inference(renaming,[status(thm)],[c_1736]) ).
cnf(c_6066,plain,
cast_to_el_of_lattice(sK17,sK18) = sK18,
inference(superposition,[status(thm)],[c_139,c_1725]) ).
cnf(c_6071,plain,
( ~ element(sK18,the_carrier(poset_of_lattice(sK17)))
| element(sK18,the_carrier(sK17)) ),
inference(superposition,[status(thm)],[c_6066,c_1701]) ).
cnf(c_6072,plain,
element(sK18,the_carrier(sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_6071,c_139]) ).
cnf(c_6073,plain,
cast_to_el_of_LattPOSet(sK17,sK18) = sK18,
inference(superposition,[status(thm)],[c_6072,c_1737]) ).
cnf(c_6528,plain,
( ~ relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18)
| ~ element(sK18,the_carrier(sK17)) ),
inference(light_normalisation,[status(thm)],[c_1619,c_6066,c_6073]) ).
cnf(c_6529,plain,
~ relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_6528,c_6072]) ).
cnf(c_6718,plain,
( ~ element(sK18,the_carrier(poset_of_lattice(sK17)))
| element(cast_to_el_of_lattice(sK17,sK18),the_carrier(sK17)) ),
inference(instantiation,[status(thm)],[c_1701]) ).
cnf(c_6732,plain,
( relstr_set_smaller(poset_of_lattice(sK17),sK16,cast_to_el_of_LattPOSet(sK17,cast_to_el_of_lattice(sK17,sK18)))
| relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18) ),
inference(global_subsumption_just,[status(thm)],[c_1632,c_139,c_1632,c_6718]) ).
cnf(c_6734,plain,
relstr_set_smaller(poset_of_lattice(sK17),sK16,sK18),
inference(light_normalisation,[status(thm)],[c_6732,c_6066,c_6073]) ).
cnf(c_6735,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6734,c_6529]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU350+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n001.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 23 16:56:25 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.13/1.15 % SZS status Started for theBenchmark.p
% 3.13/1.15 % SZS status Theorem for theBenchmark.p
% 3.13/1.15
% 3.13/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.13/1.15
% 3.13/1.15 ------ iProver source info
% 3.13/1.15
% 3.13/1.15 git: date: 2023-05-31 18:12:56 +0000
% 3.13/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.13/1.15 git: non_committed_changes: false
% 3.13/1.15 git: last_make_outside_of_git: false
% 3.13/1.15
% 3.13/1.15 ------ Parsing...
% 3.13/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.13/1.15
% 3.13/1.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 25 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 15 0s sf_e pe_s pe_e
% 3.13/1.15
% 3.13/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.13/1.15
% 3.13/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.13/1.15 ------ Proving...
% 3.13/1.15 ------ Problem Properties
% 3.13/1.15
% 3.13/1.15
% 3.13/1.15 clauses 74
% 3.13/1.15 conjectures 2
% 3.13/1.15 EPR 17
% 3.13/1.15 Horn 65
% 3.13/1.15 unary 33
% 3.13/1.15 binary 27
% 3.13/1.15 lits 129
% 3.13/1.15 lits eq 11
% 3.13/1.15 fd_pure 0
% 3.13/1.15 fd_pseudo 0
% 3.13/1.15 fd_cond 1
% 3.13/1.15 fd_pseudo_cond 3
% 3.13/1.15 AC symbols 0
% 3.13/1.15
% 3.13/1.15 ------ Schedule dynamic 5 is on
% 3.13/1.15
% 3.13/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.13/1.15
% 3.13/1.15
% 3.13/1.15 ------
% 3.13/1.15 Current options:
% 3.13/1.15 ------
% 3.13/1.15
% 3.13/1.15
% 3.13/1.15
% 3.13/1.15
% 3.13/1.15 ------ Proving...
% 3.13/1.15
% 3.13/1.15
% 3.13/1.15 % SZS status Theorem for theBenchmark.p
% 3.13/1.15
% 3.13/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.13/1.15
% 3.13/1.15
%------------------------------------------------------------------------------