%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU348+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n002.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 : Fri Sep 25 02:57:00 PM UTC 2026
% Result : Theorem 72.44s 12.16s
% Output : CNFRefutation 72.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 76 ( 15 unt; 0 def)
% Number of atoms : 285 ( 25 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 349 ( 140 ~; 154 |; 37 &)
% ( 5 <=>; 11 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 109 ( 0 sgn 97 !; 12 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
fof(f96,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(f105,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(f189,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(f519,axiom,
! [X0,X1] :
( ( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( latt_set_smaller(X1,X2,X0)
<=> relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_lattice3) ).
fof(f522,conjecture,
! [X0,X1] :
( ( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
=> ( relstr_element_smaller(poset_of_lattice(X1),X0,X2)
<=> latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_lattice3) ).
fof(f523,negated_conjecture,
~ ! [X0,X1] :
( ( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
=> ( relstr_element_smaller(poset_of_lattice(X1),X0,X2)
<=> latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f522]) ).
fof(f873,plain,
! [X0,X1] :
( ~ latt_str(X1)
| ~ lattice(X1)
| empty_carrier(X1)
| ! [X2] :
( ~ element(X2,the_carrier(X1))
| ( latt_set_smaller(X1,X2,X0)
<=> relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) ) ) ),
inference(ennf_transformation,[],[f519]) ).
fof(f874,plain,
! [X0,X1] :
( ~ latt_str(X1)
| ~ lattice(X1)
| empty_carrier(X1)
| ! [X2] :
( ~ element(X2,the_carrier(X1))
| ( latt_set_smaller(X1,X2,X0)
<=> relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) ) ) ),
inference(flattening,[],[f873]) ).
fof(f878,plain,
? [X0,X1] :
( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1)
& ? [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
& ( relstr_element_smaller(poset_of_lattice(X1),X0,X2)
<~> latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) ) ) ),
inference(ennf_transformation,[],[f523]) ).
fof(f879,plain,
? [X0,X1] :
( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1)
& ? [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
& ( relstr_element_smaller(poset_of_lattice(X1),X0,X2)
<~> latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) ) ) ),
inference(flattening,[],[f878]) ).
fof(f1218,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| cast_to_el_of_LattPOSet(X0,X1) = X1 ) ),
inference(ennf_transformation,[],[f96]) ).
fof(f1219,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| cast_to_el_of_LattPOSet(X0,X1) = X1 ) ),
inference(flattening,[],[f1218]) ).
fof(f1222,plain,
! [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)) ),
inference(ennf_transformation,[],[f189]) ).
fof(f1223,plain,
! [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)) ),
inference(flattening,[],[f1222]) ).
fof(f1224,plain,
! [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 ) ),
inference(ennf_transformation,[],[f105]) ).
fof(f1225,plain,
! [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 ) ),
inference(flattening,[],[f1224]) ).
fof(f1605,plain,
! [X0,X1] :
( ~ latt_str(X1)
| ~ lattice(X1)
| empty_carrier(X1)
| ! [X2] :
( ~ element(X2,the_carrier(X1))
| ( ( ~ latt_set_smaller(X1,X2,X0)
| relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
& ( ~ relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| latt_set_smaller(X1,X2,X0) ) ) ) ),
inference(nnf_transformation,[],[f874]) ).
fof(f1607,plain,
? [X0,X1] :
( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1)
& ? [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
& ( relstr_element_smaller(poset_of_lattice(X1),X0,X2)
| latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) )
& ( ~ relstr_element_smaller(poset_of_lattice(X1),X0,X2)
| ~ latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) ) ) ),
inference(nnf_transformation,[],[f879]) ).
fof(f1608,plain,
? [X0,X1] :
( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1)
& ? [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
& ( relstr_element_smaller(poset_of_lattice(X1),X0,X2)
| latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) )
& ( ~ relstr_element_smaller(poset_of_lattice(X1),X0,X2)
| ~ latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) ) ) ),
inference(flattening,[],[f1607]) ).
fof(f1609,plain,
( latt_str(sK170)
& lattice(sK170)
& ~ empty_carrier(sK170)
& element(sK171,the_carrier(poset_of_lattice(sK170)))
& ( relstr_element_smaller(poset_of_lattice(sK170),sK169,sK171)
| latt_set_smaller(sK170,cast_to_el_of_lattice(sK170,sK171),sK169) )
& ( ~ relstr_element_smaller(poset_of_lattice(sK170),sK169,sK171)
| ~ latt_set_smaller(sK170,cast_to_el_of_lattice(sK170,sK171),sK169) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK169,sK170,sK171]),skolemize(X0,sK169),skolemize(X1,sK170),skolemize(X2,sK171)],[f1608]) ).
fof(f2400,plain,
! [X2,X0,X1] :
( ~ latt_str(X1)
| ~ lattice(X1)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ latt_set_smaller(X1,X2,X0)
| relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) ),
inference(cnf_transformation,[],[f1605]) ).
fof(f2401,plain,
! [X2,X0,X1] :
( ~ latt_str(X1)
| ~ lattice(X1)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| latt_set_smaller(X1,X2,X0) ),
inference(cnf_transformation,[],[f1605]) ).
fof(f2411,plain,
latt_str(sK170),
inference(cnf_transformation,[],[f1609]) ).
fof(f2412,plain,
lattice(sK170),
inference(cnf_transformation,[],[f1609]) ).
fof(f2413,plain,
~ empty_carrier(sK170),
inference(cnf_transformation,[],[f1609]) ).
fof(f2414,plain,
element(sK171,the_carrier(poset_of_lattice(sK170))),
inference(cnf_transformation,[],[f1609]) ).
fof(f2415,plain,
( relstr_element_smaller(poset_of_lattice(sK170),sK169,sK171)
| latt_set_smaller(sK170,cast_to_el_of_lattice(sK170,sK171),sK169) ),
inference(cnf_transformation,[],[f1609]) ).
fof(f2416,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK170),sK169,sK171)
| ~ latt_set_smaller(sK170,cast_to_el_of_lattice(sK170,sK171),sK169) ),
inference(cnf_transformation,[],[f1609]) ).
fof(f3302,plain,
! [X0,X1] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| cast_to_el_of_LattPOSet(X0,X1) = X1 ),
inference(cnf_transformation,[],[f1219]) ).
fof(f3307,plain,
! [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)) ),
inference(cnf_transformation,[],[f1223]) ).
fof(f3308,plain,
! [X0,X1] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| cast_to_el_of_lattice(X0,X1) = X1 ),
inference(cnf_transformation,[],[f1225]) ).
tcf(c_429,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X0)
| latt_set_smaller(X0,X2,X1)
| ~ lattice(X0)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2)) ),
inference(cnf_transformation,[],[f2401]) ).
tcf(c_430,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X0)
| relstr_element_smaller(poset_of_lattice(X0),X2,cast_to_el_of_LattPOSet(X0,X1))
| ~ lattice(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ latt_set_smaller(X0,X1,X2) ),
inference(cnf_transformation,[],[f2400]) ).
tcf(c_440,negated_conjecture,
( ~ relstr_element_smaller(poset_of_lattice(sK170),sK169,sK171)
| ~ latt_set_smaller(sK170,cast_to_el_of_lattice(sK170,sK171),sK169) ),
inference(cnf_transformation,[],[f2416]) ).
tcf(c_441,negated_conjecture,
( relstr_element_smaller(poset_of_lattice(sK170),sK169,sK171)
| latt_set_smaller(sK170,cast_to_el_of_lattice(sK170,sK171),sK169) ),
inference(cnf_transformation,[],[f2415]) ).
tcf(c_442,negated_conjecture,
element(sK171,the_carrier(poset_of_lattice(sK170))),
inference(cnf_transformation,[],[f2414]) ).
tcf(c_443,negated_conjecture,
~ empty_carrier(sK170),
inference(cnf_transformation,[],[f2413]) ).
tcf(c_444,negated_conjecture,
lattice(sK170),
inference(cnf_transformation,[],[f2412]) ).
tcf(c_445,negated_conjecture,
latt_str(sK170),
inference(cnf_transformation,[],[f2411]) ).
tcf(c_1325,plain,
! [X0: $i,X1: $i] :
( empty_carrier(X1)
| ( cast_to_el_of_LattPOSet(X1,X0) = X0 )
| ~ lattice(X1)
| ~ latt_str(X1)
| ~ element(X0,the_carrier(X1)) ),
inference(cnf_transformation,[],[f3302]) ).
tcf(c_1330,plain,
! [X0: $i,X1: $i] :
( empty_carrier(X1)
| element(cast_to_el_of_lattice(X1,X0),the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1)
| ~ element(X0,the_carrier(poset_of_lattice(X1))) ),
inference(cnf_transformation,[],[f3307]) ).
tcf(c_1331,plain,
! [X0: $i,X1: $i] :
( empty_carrier(X1)
| ( cast_to_el_of_lattice(X1,X0) = X0 )
| ~ lattice(X1)
| ~ latt_str(X1)
| ~ element(X0,the_carrier(poset_of_lattice(X1))) ),
inference(cnf_transformation,[],[f3308]) ).
tcf(c_63842,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X0)
| relstr_element_smaller(poset_of_lattice(X0),X2,cast_to_el_of_LattPOSet(X0,X1))
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ latt_set_smaller(X0,X1,X2)
| ( X0 != sK170 ) ),
inference(resolution_lifted,[status(thm)],[c_430,c_444]) ).
tcf(c_63843,plain,
! [X0: $i,X1: $i] :
( empty_carrier(sK170)
| relstr_element_smaller(poset_of_lattice(sK170),X1,cast_to_el_of_LattPOSet(sK170,X0))
| ~ latt_str(sK170)
| ~ element(X0,the_carrier(sK170))
| ~ latt_set_smaller(sK170,X0,X1) ),
inference(unflattening,[status(thm)],[c_63842]) ).
tcf(c_63845,plain,
! [X0: $i,X1: $i] :
( ~ element(X0,the_carrier(sK170))
| ~ latt_set_smaller(sK170,X0,X1)
| relstr_element_smaller(poset_of_lattice(sK170),X1,cast_to_el_of_LattPOSet(sK170,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_63843,c_445,c_443,c_63843]) ).
tcf(c_63846,plain,
! [X0: $i,X1: $i] :
( relstr_element_smaller(poset_of_lattice(sK170),X1,cast_to_el_of_LattPOSet(sK170,X0))
| ~ element(X0,the_carrier(sK170))
| ~ latt_set_smaller(sK170,X0,X1) ),
inference(renaming,[status(thm)],[c_63845]) ).
tcf(c_63857,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X0)
| latt_set_smaller(X0,X2,X1)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2))
| ( X0 != sK170 ) ),
inference(resolution_lifted,[status(thm)],[c_429,c_444]) ).
tcf(c_63858,plain,
! [X0: $i,X1: $i] :
( empty_carrier(sK170)
| latt_set_smaller(sK170,X1,X0)
| ~ latt_str(sK170)
| ~ element(X1,the_carrier(sK170))
| ~ relstr_element_smaller(poset_of_lattice(sK170),X0,cast_to_el_of_LattPOSet(sK170,X1)) ),
inference(unflattening,[status(thm)],[c_63857]) ).
tcf(c_63860,plain,
! [X0: $i,X1: $i] :
( ~ element(X1,the_carrier(sK170))
| ~ relstr_element_smaller(poset_of_lattice(sK170),X0,cast_to_el_of_LattPOSet(sK170,X1))
| latt_set_smaller(sK170,X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_63858,c_445,c_443,c_63858]) ).
tcf(c_63861,plain,
! [X0: $i,X1: $i] :
( latt_set_smaller(sK170,X1,X0)
| ~ element(X1,the_carrier(sK170))
| ~ relstr_element_smaller(poset_of_lattice(sK170),X0,cast_to_el_of_LattPOSet(sK170,X1)) ),
inference(renaming,[status(thm)],[c_63860]) ).
tcf(c_64358,plain,
! [X0: $i,X1: $i] :
( empty_carrier(X0)
| ( cast_to_el_of_lattice(X0,X1) = X1 )
| ~ latt_str(X0)
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ( X0 != sK170 ) ),
inference(resolution_lifted,[status(thm)],[c_444,c_1331]) ).
tcf(c_64359,plain,
! [X0: $i] :
( empty_carrier(sK170)
| ( cast_to_el_of_lattice(sK170,X0) = X0 )
| ~ latt_str(sK170)
| ~ element(X0,the_carrier(poset_of_lattice(sK170))) ),
inference(unflattening,[status(thm)],[c_64358]) ).
tcf(c_64361,plain,
! [X0: $i] :
( ~ element(X0,the_carrier(poset_of_lattice(sK170)))
| ( cast_to_el_of_lattice(sK170,X0) = X0 ) ),
inference(global_subsumption_just,[status(thm)],[c_64359,c_445,c_443,c_64359]) ).
tcf(c_64362,plain,
! [X0: $i] :
( ( cast_to_el_of_lattice(sK170,X0) = X0 )
| ~ element(X0,the_carrier(poset_of_lattice(sK170))) ),
inference(renaming,[status(thm)],[c_64361]) ).
tcf(c_64370,plain,
! [X0: $i,X1: $i] :
( empty_carrier(X0)
| element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| ~ latt_str(X0)
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ( X0 != sK170 ) ),
inference(resolution_lifted,[status(thm)],[c_444,c_1330]) ).
tcf(c_64371,plain,
! [X0: $i] :
( empty_carrier(sK170)
| element(cast_to_el_of_lattice(sK170,X0),the_carrier(sK170))
| ~ latt_str(sK170)
| ~ element(X0,the_carrier(poset_of_lattice(sK170))) ),
inference(unflattening,[status(thm)],[c_64370]) ).
tcf(c_64373,plain,
! [X0: $i] :
( ~ element(X0,the_carrier(poset_of_lattice(sK170)))
| element(cast_to_el_of_lattice(sK170,X0),the_carrier(sK170)) ),
inference(global_subsumption_just,[status(thm)],[c_64371,c_445,c_443,c_64371]) ).
tcf(c_64374,plain,
! [X0: $i] :
( element(cast_to_el_of_lattice(sK170,X0),the_carrier(sK170))
| ~ element(X0,the_carrier(poset_of_lattice(sK170))) ),
inference(renaming,[status(thm)],[c_64373]) ).
tcf(c_64382,plain,
! [X0: $i,X1: $i] :
( empty_carrier(X0)
| ( cast_to_el_of_LattPOSet(X0,X1) = X1 )
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| ( X0 != sK170 ) ),
inference(resolution_lifted,[status(thm)],[c_444,c_1325]) ).
tcf(c_64383,plain,
! [X0: $i] :
( empty_carrier(sK170)
| ( cast_to_el_of_LattPOSet(sK170,X0) = X0 )
| ~ latt_str(sK170)
| ~ element(X0,the_carrier(sK170)) ),
inference(unflattening,[status(thm)],[c_64382]) ).
tcf(c_64385,plain,
! [X0: $i] :
( ~ element(X0,the_carrier(sK170))
| ( cast_to_el_of_LattPOSet(sK170,X0) = X0 ) ),
inference(global_subsumption_just,[status(thm)],[c_64383,c_445,c_443,c_64383]) ).
tcf(c_64386,plain,
! [X0: $i] :
( ( cast_to_el_of_LattPOSet(sK170,X0) = X0 )
| ~ element(X0,the_carrier(sK170)) ),
inference(renaming,[status(thm)],[c_64385]) ).
tcf(c_102777,plain,
cast_to_el_of_lattice(sK170,sK171) = sK171,
inference(superposition,[status(thm)],[c_442,c_64362]) ).
tcf(c_102778,plain,
( ~ latt_set_smaller(sK170,sK171,sK169)
| ~ relstr_element_smaller(poset_of_lattice(sK170),sK169,sK171) ),
inference(demodulation,[status(thm)],[c_440,c_102777]) ).
tcf(c_102779,plain,
( latt_set_smaller(sK170,sK171,sK169)
| relstr_element_smaller(poset_of_lattice(sK170),sK169,sK171) ),
inference(demodulation,[status(thm)],[c_441,c_102777]) ).
tcf(c_102807,plain,
( element(sK171,the_carrier(sK170))
| ~ element(sK171,the_carrier(poset_of_lattice(sK170))) ),
inference(superposition,[status(thm)],[c_102777,c_64374]) ).
tcf(c_102809,plain,
element(sK171,the_carrier(sK170)),
inference(forward_subsumption_resolution,[status(thm)],[c_102807,c_442]) ).
tcf(c_102813,plain,
cast_to_el_of_LattPOSet(sK170,sK171) = sK171,
inference(superposition,[status(thm)],[c_102809,c_64386]) ).
tcf(c_102886,plain,
! [X0: $i] :
( latt_set_smaller(sK170,sK171,X0)
| ~ element(sK171,the_carrier(sK170))
| ~ relstr_element_smaller(poset_of_lattice(sK170),X0,sK171) ),
inference(superposition,[status(thm)],[c_102813,c_63861]) ).
tcf(c_102890,plain,
! [X0: $i] :
( relstr_element_smaller(poset_of_lattice(sK170),X0,sK171)
| ~ element(sK171,the_carrier(sK170))
| ~ latt_set_smaller(sK170,sK171,X0) ),
inference(superposition,[status(thm)],[c_102813,c_63846]) ).
tcf(c_102891,plain,
! [X0: $i] :
( relstr_element_smaller(poset_of_lattice(sK170),X0,sK171)
| ~ latt_set_smaller(sK170,sK171,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_102890,c_102809]) ).
tcf(c_102894,plain,
! [X0: $i] :
( latt_set_smaller(sK170,sK171,X0)
| ~ relstr_element_smaller(poset_of_lattice(sK170),X0,sK171) ),
inference(forward_subsumption_resolution,[status(thm)],[c_102886,c_102809]) ).
tcf(c_102936,plain,
relstr_element_smaller(poset_of_lattice(sK170),sK169,sK171),
inference(backward_subsumption_resolution,[status(thm)],[c_102779,c_102891]) ).
tcf(c_102937,plain,
~ latt_set_smaller(sK170,sK171,sK169),
inference(backward_subsumption_resolution,[status(thm)],[c_102778,c_102891]) ).
tcf(c_102942,plain,
latt_set_smaller(sK170,sK171,sK169),
inference(superposition,[status(thm)],[c_102936,c_102894]) ).
tcf(c_102944,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_102942,c_102937]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU348+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Thu Sep 24 13:50:20 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.43
% 0.14/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.43
% 0.14/0.43 % Detected problem language: tptp
% 0.14/0.45 % Proving...
% 72.44/12.16 % SZS status Started for theBenchmark.p
% 72.44/12.16 ERROR - "ProverProcess:heur/381325:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 72.44/12.16 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 72.44/12.16 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 1 --comb_sup_mult 3 --conj_cone_tolerance 3. --demod_completeness_check full --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[Demod;DemodLoopTriv;LightNorm;ACNormalisation]" --sup_full_triv "[]" --sup_fun_splitting true --sup_immed_bw_immed "[]" --sup_immed_bw_main "[SubsumptionRes;UnitSubsAndRes]" --sup_immed_fw_immed "[Subsumption;UnitSubsAndRes;Demod;DemodLoopTriv;LightNorm;DemodLightNormLoopTriv]" --sup_immed_fw_main "[Subsumption;SubsumptionRes;LightNorm;DemodLightNormLoopTriv]" --sup_immed_triv "[PropSubs]" --sup_indices_passive "[UnitSubsumption;NonunitSubsumption;FwDemod]" --sup_input_bw "[UnitSubsAndRes]" --sup_input_fw "[]" --sup_input_triv "[PropSubs]" --sup_iter_deepening 0 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_symb;-max_atom_input_occur];[+horn];[+bc_imp_inh;+ground;-conj_dist]]" --sup_passive_queues_freq "[3;1;25]" --sup_prop_simpl_given true --sup_prop_simpl_new false --sup_restarts_mult 8 --sup_score sim_d_gen --sup_share_max_num_cl 40 --sup_share_score_frac 0.1 --sup_smt_interval 10000 --sup_symb_ordering arity_random --sup_to_prop_solver active --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.33" --time_out_real 1.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_8bpcozpk/vz9w38oa 2>> /export/starexec/sandbox2/tmp/iprover_out_8bpcozpk/vz9w38oa_error
% 72.44/12.16 % SZS status Theorem for theBenchmark.p
% 72.44/12.16
% 72.44/12.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 72.44/12.16
% 72.44/12.16 % ------ iProver source info
% 72.44/12.16
% 72.44/12.16 % git: date: 2026-07-19 20:42:38 +0200
% 72.44/12.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 72.44/12.16 % git: non_committed_changes: false
% 72.44/12.16
% 72.44/12.16 % ------ Parsing...
% 72.44/12.16 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 72.44/12.16
% 72.44/12.16 % ------ Preprocessing... sup_sim: 108 sf_s rm: 76 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e %
% 72.44/12.16
% 72.44/12.16 % ------ Preprocessing... gs_s sp: 18 0s gs_e snvd_s sp: 0 0s snvd_e %
% 72.44/12.16
% 72.44/12.16 % ------ Preprocessing... sf_s rm: 7 0s sf_e sf_s rm: 0 0s sf_e
% 72.44/12.16 % ------ Proving...
% 72.44/12.16 % ------ Problem Properties
% 72.44/12.16
% 72.44/12.16 %
% 72.44/12.16 % clauses 1449
% 72.44/12.16 % conjectures 5
% 72.44/12.16 % EPR 202
% 72.44/12.16 % Horn 1063
% 72.44/12.16 % unary 203
% 72.44/12.16 % binary 398
% 72.44/12.16 % lits 4457
% 72.44/12.16 % lits eq 602
% 72.44/12.16 % fd_pure 0
% 72.44/12.16 % fd_pseudo 0
% 72.44/12.16 % fd_cond 46
% 72.44/12.16 % fd_pseudo_cond 126
% 72.44/12.16 % AC symbols 0
% 72.44/12.16
% 72.44/12.16 % ------ Schedule dynamic 5 is on
% 72.44/12.16
% 72.44/12.16 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 72.44/12.16
% 72.44/12.16
% 72.44/12.16 % ------
% 72.44/12.16 % Current options:
% 72.44/12.16 % ------
% 72.44/12.16
% 72.44/12.16
% 72.44/12.16 %
% 72.44/12.16
% 72.44/12.16 % ------ Proving...
% 72.44/12.16 %
% 72.44/12.16
% 72.44/12.16 % SZS status Theorem for theBenchmark.p
% 72.44/12.16
% 72.44/12.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 72.44/12.16
% 72.44/12.16
%------------------------------------------------------------------------------