TSTP Solution File: SEU394+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SEU394+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 : Fri May 3 03:06:05 EDT 2024
% Result : Theorem 17.42s 3.20s
% Output : CNFRefutation 17.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 70 ( 22 unt; 0 def)
% Number of atoms : 261 ( 49 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 329 ( 138 ~; 111 |; 68 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 78 ( 2 sgn 40 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f59,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_pre_topc) ).
fof(f68,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f113,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& ~ empty(X1) )
=> set_difference(X1,singleton(empty_set)) = filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_yellow19) ).
fof(f114,conjecture,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& ~ empty(X1) )
=> filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_yellow19) ).
fof(f115,negated_conjecture,
~ ! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& ~ empty(X1) )
=> filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) = X1 ) ),
inference(negated_conjecture,[],[f114]) ).
fof(f119,axiom,
! [X0] :
( ~ empty(X0)
=> ! [X1] :
( ( element(X1,powerset(the_carrier(boole_POSet(X0))))
& proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
& upper_relstr_subset(X1,boole_POSet(X0))
& filtered_subset(X1,boole_POSet(X0))
& ~ empty(X1) )
=> ! [X2] :
~ ( empty(X2)
& in(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_yellow19) ).
fof(f125,axiom,
! [X0,X1] :
( set_difference(X0,singleton(X1)) = X0
<=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_zfmisc_1) ).
fof(f127,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f226,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f227,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f226]) ).
fof(f280,plain,
! [X0] :
( ! [X1] :
( set_difference(X1,singleton(empty_set)) = filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))
| ~ element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| ~ filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| empty(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f113]) ).
fof(f281,plain,
! [X0] :
( ! [X1] :
( set_difference(X1,singleton(empty_set)) = filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))
| ~ element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| ~ filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| empty(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f280]) ).
fof(f282,plain,
? [X0] :
( ? [X1] :
( filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) != X1
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& ~ empty(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f115]) ).
fof(f283,plain,
? [X0] :
( ? [X1] :
( filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) != X1
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& ~ empty(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f282]) ).
fof(f288,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ empty(X2)
| ~ in(X2,X1) )
| ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ filtered_subset(X1,boole_POSet(X0))
| empty(X1) )
| empty(X0) ),
inference(ennf_transformation,[],[f119]) ).
fof(f289,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ empty(X2)
| ~ in(X2,X1) )
| ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ filtered_subset(X1,boole_POSet(X0))
| empty(X1) )
| empty(X0) ),
inference(flattening,[],[f288]) ).
fof(f295,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f127]) ).
fof(f380,plain,
( ? [X0] :
( ? [X1] :
( filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) != X1
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& ~ empty(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ( ? [X1] :
( filter_of_net_str(sK39,net_of_bool_filter(sK39,cast_as_carrier_subset(sK39),X1)) != X1
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK39)))))
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK39)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(sK39)))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(sK39)))
& ~ empty(X1) )
& one_sorted_str(sK39)
& ~ empty_carrier(sK39) ) ),
introduced(choice_axiom,[]) ).
fof(f381,plain,
( ? [X1] :
( filter_of_net_str(sK39,net_of_bool_filter(sK39,cast_as_carrier_subset(sK39),X1)) != X1
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK39)))))
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK39)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(sK39)))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(sK39)))
& ~ empty(X1) )
=> ( sK40 != filter_of_net_str(sK39,net_of_bool_filter(sK39,cast_as_carrier_subset(sK39),sK40))
& element(sK40,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK39)))))
& proper_element(sK40,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK39)))))
& upper_relstr_subset(sK40,boole_POSet(cast_as_carrier_subset(sK39)))
& filtered_subset(sK40,boole_POSet(cast_as_carrier_subset(sK39)))
& ~ empty(sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f382,plain,
( sK40 != filter_of_net_str(sK39,net_of_bool_filter(sK39,cast_as_carrier_subset(sK39),sK40))
& element(sK40,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK39)))))
& proper_element(sK40,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK39)))))
& upper_relstr_subset(sK40,boole_POSet(cast_as_carrier_subset(sK39)))
& filtered_subset(sK40,boole_POSet(cast_as_carrier_subset(sK39)))
& ~ empty(sK40)
& one_sorted_str(sK39)
& ~ empty_carrier(sK39) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40])],[f283,f381,f380]) ).
fof(f386,plain,
! [X0,X1] :
( ( set_difference(X0,singleton(X1)) = X0
| in(X1,X0) )
& ( ~ in(X1,X0)
| set_difference(X0,singleton(X1)) != X0 ) ),
inference(nnf_transformation,[],[f125]) ).
fof(f497,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f524,plain,
empty(empty_set),
inference(cnf_transformation,[],[f68]) ).
fof(f720,plain,
! [X0,X1] :
( set_difference(X1,singleton(empty_set)) = filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))
| ~ element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| ~ filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| empty(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f281]) ).
fof(f721,plain,
~ empty_carrier(sK39),
inference(cnf_transformation,[],[f382]) ).
fof(f722,plain,
one_sorted_str(sK39),
inference(cnf_transformation,[],[f382]) ).
fof(f723,plain,
~ empty(sK40),
inference(cnf_transformation,[],[f382]) ).
fof(f724,plain,
filtered_subset(sK40,boole_POSet(cast_as_carrier_subset(sK39))),
inference(cnf_transformation,[],[f382]) ).
fof(f725,plain,
upper_relstr_subset(sK40,boole_POSet(cast_as_carrier_subset(sK39))),
inference(cnf_transformation,[],[f382]) ).
fof(f726,plain,
proper_element(sK40,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK39))))),
inference(cnf_transformation,[],[f382]) ).
fof(f727,plain,
element(sK40,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK39))))),
inference(cnf_transformation,[],[f382]) ).
fof(f728,plain,
sK40 != filter_of_net_str(sK39,net_of_bool_filter(sK39,cast_as_carrier_subset(sK39),sK40)),
inference(cnf_transformation,[],[f382]) ).
fof(f733,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| ~ in(X2,X1)
| ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ filtered_subset(X1,boole_POSet(X0))
| empty(X1)
| empty(X0) ),
inference(cnf_transformation,[],[f289]) ).
fof(f740,plain,
! [X0,X1] :
( set_difference(X0,singleton(X1)) = X0
| in(X1,X0) ),
inference(cnf_transformation,[],[f386]) ).
fof(f742,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f295]) ).
cnf(c_140,plain,
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f497]) ).
cnf(c_168,plain,
empty(empty_set),
inference(cnf_transformation,[],[f524]) ).
cnf(c_363,plain,
( ~ element(X0,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
| ~ upper_relstr_subset(X0,boole_POSet(cast_as_carrier_subset(X1)))
| ~ filtered_subset(X0,boole_POSet(cast_as_carrier_subset(X1)))
| ~ one_sorted_str(X1)
| filter_of_net_str(X1,net_of_bool_filter(X1,cast_as_carrier_subset(X1),X0)) = set_difference(X0,singleton(empty_set))
| empty_carrier(X1)
| empty(X0) ),
inference(cnf_transformation,[],[f720]) ).
cnf(c_364,negated_conjecture,
filter_of_net_str(sK39,net_of_bool_filter(sK39,cast_as_carrier_subset(sK39),sK40)) != sK40,
inference(cnf_transformation,[],[f728]) ).
cnf(c_365,negated_conjecture,
element(sK40,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK39))))),
inference(cnf_transformation,[],[f727]) ).
cnf(c_366,negated_conjecture,
proper_element(sK40,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK39))))),
inference(cnf_transformation,[],[f726]) ).
cnf(c_367,negated_conjecture,
upper_relstr_subset(sK40,boole_POSet(cast_as_carrier_subset(sK39))),
inference(cnf_transformation,[],[f725]) ).
cnf(c_368,negated_conjecture,
filtered_subset(sK40,boole_POSet(cast_as_carrier_subset(sK39))),
inference(cnf_transformation,[],[f724]) ).
cnf(c_369,negated_conjecture,
~ empty(sK40),
inference(cnf_transformation,[],[f723]) ).
cnf(c_370,negated_conjecture,
one_sorted_str(sK39),
inference(cnf_transformation,[],[f722]) ).
cnf(c_371,negated_conjecture,
~ empty_carrier(sK39),
inference(cnf_transformation,[],[f721]) ).
cnf(c_376,plain,
( ~ element(X0,powerset(the_carrier(boole_POSet(X1))))
| ~ proper_element(X0,powerset(the_carrier(boole_POSet(X1))))
| ~ upper_relstr_subset(X0,boole_POSet(X1))
| ~ filtered_subset(X0,boole_POSet(X1))
| ~ in(X2,X0)
| ~ empty(X2)
| empty(X0)
| empty(X1) ),
inference(cnf_transformation,[],[f733]) ).
cnf(c_382,plain,
( set_difference(X0,singleton(X1)) = X0
| in(X1,X0) ),
inference(cnf_transformation,[],[f740]) ).
cnf(c_385,plain,
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f742]) ).
cnf(c_646,plain,
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(prop_impl_just,[status(thm)],[c_385]) ).
cnf(c_1533,plain,
( ~ element(X0,powerset(the_carrier(boole_POSet(X1))))
| ~ proper_element(X0,powerset(the_carrier(boole_POSet(X1))))
| ~ upper_relstr_subset(X0,boole_POSet(X1))
| ~ filtered_subset(X0,boole_POSet(X1))
| ~ in(X2,X0)
| ~ empty(X2)
| empty(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_376,c_646]) ).
cnf(c_13135,plain,
( X0 != sK39
| ~ empty(cast_as_carrier_subset(X0))
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_140,c_370]) ).
cnf(c_13136,plain,
( ~ empty(cast_as_carrier_subset(sK39))
| empty_carrier(sK39) ),
inference(unflattening,[status(thm)],[c_13135]) ).
cnf(c_19229,plain,
X0 = X0,
theory(equality) ).
cnf(c_19231,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_23230,plain,
( filter_of_net_str(sK39,net_of_bool_filter(sK39,cast_as_carrier_subset(sK39),sK40)) != X0
| sK40 != X0
| filter_of_net_str(sK39,net_of_bool_filter(sK39,cast_as_carrier_subset(sK39),sK40)) = sK40 ),
inference(instantiation,[status(thm)],[c_19231]) ).
cnf(c_23253,plain,
( ~ element(sK40,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| ~ upper_relstr_subset(sK40,boole_POSet(cast_as_carrier_subset(X0)))
| ~ filtered_subset(sK40,boole_POSet(cast_as_carrier_subset(X0)))
| ~ one_sorted_str(X0)
| filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),sK40)) = set_difference(sK40,singleton(empty_set))
| empty_carrier(X0)
| empty(sK40) ),
inference(instantiation,[status(thm)],[c_363]) ).
cnf(c_23353,plain,
( X0 != X1
| sK40 != X1
| sK40 = X0 ),
inference(instantiation,[status(thm)],[c_19231]) ).
cnf(c_23583,plain,
( ~ element(sK40,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK39)))))
| ~ upper_relstr_subset(sK40,boole_POSet(cast_as_carrier_subset(sK39)))
| ~ filtered_subset(sK40,boole_POSet(cast_as_carrier_subset(sK39)))
| ~ one_sorted_str(sK39)
| filter_of_net_str(sK39,net_of_bool_filter(sK39,cast_as_carrier_subset(sK39),sK40)) = set_difference(sK40,singleton(empty_set))
| empty_carrier(sK39)
| empty(sK40) ),
inference(instantiation,[status(thm)],[c_23253]) ).
cnf(c_23881,plain,
( X0 != sK40
| sK40 != sK40
| sK40 = X0 ),
inference(instantiation,[status(thm)],[c_23353]) ).
cnf(c_24604,plain,
( set_difference(sK40,singleton(X0)) != sK40
| sK40 != sK40
| sK40 = set_difference(sK40,singleton(X0)) ),
inference(instantiation,[status(thm)],[c_23881]) ).
cnf(c_25349,plain,
sK40 = sK40,
inference(instantiation,[status(thm)],[c_19229]) ).
cnf(c_25545,plain,
( filter_of_net_str(sK39,net_of_bool_filter(sK39,cast_as_carrier_subset(sK39),sK40)) != set_difference(sK40,singleton(empty_set))
| sK40 != set_difference(sK40,singleton(empty_set))
| filter_of_net_str(sK39,net_of_bool_filter(sK39,cast_as_carrier_subset(sK39),sK40)) = sK40 ),
inference(instantiation,[status(thm)],[c_23230]) ).
cnf(c_29193,plain,
( set_difference(sK40,singleton(empty_set)) != sK40
| sK40 != sK40
| sK40 = set_difference(sK40,singleton(empty_set)) ),
inference(instantiation,[status(thm)],[c_24604]) ).
cnf(c_32611,plain,
( ~ proper_element(sK40,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK39)))))
| ~ upper_relstr_subset(sK40,boole_POSet(cast_as_carrier_subset(sK39)))
| ~ filtered_subset(sK40,boole_POSet(cast_as_carrier_subset(sK39)))
| ~ in(X0,sK40)
| ~ empty(X0)
| empty(cast_as_carrier_subset(sK39)) ),
inference(superposition,[status(thm)],[c_365,c_1533]) ).
cnf(c_33409,plain,
( ~ empty(X0)
| ~ in(X0,sK40) ),
inference(global_subsumption_just,[status(thm)],[c_32611,c_371,c_368,c_367,c_366,c_13136,c_32611]) ).
cnf(c_33410,plain,
( ~ in(X0,sK40)
| ~ empty(X0) ),
inference(renaming,[status(thm)],[c_33409]) ).
cnf(c_33412,plain,
( ~ empty(X0)
| set_difference(sK40,singleton(X0)) = sK40 ),
inference(superposition,[status(thm)],[c_382,c_33410]) ).
cnf(c_33673,plain,
set_difference(sK40,singleton(empty_set)) = sK40,
inference(superposition,[status(thm)],[c_168,c_33412]) ).
cnf(c_33676,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_33673,c_29193,c_25545,c_25349,c_23583,c_364,c_365,c_367,c_368,c_369,c_371,c_370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU394+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 17:14:51 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 17.42/3.20 % SZS status Started for theBenchmark.p
% 17.42/3.20 % SZS status Theorem for theBenchmark.p
% 17.42/3.20
% 17.42/3.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.42/3.20
% 17.42/3.20 ------ iProver source info
% 17.42/3.20
% 17.42/3.20 git: date: 2024-05-02 19:28:25 +0000
% 17.42/3.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.42/3.20 git: non_committed_changes: false
% 17.42/3.20
% 17.42/3.20 ------ Parsing...
% 17.42/3.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 17.42/3.20
% 17.42/3.20 ------ Preprocessing... sup_sim: 0 sf_s rm: 22 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e
% 17.42/3.20
% 17.42/3.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.42/3.20
% 17.42/3.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.42/3.20 ------ Proving...
% 17.42/3.20 ------ Problem Properties
% 17.42/3.20
% 17.42/3.20
% 17.42/3.20 clauses 247
% 17.42/3.20 conjectures 8
% 17.42/3.20 EPR 62
% 17.42/3.20 Horn 188
% 17.42/3.20 unary 120
% 17.42/3.20 binary 63
% 17.42/3.20 lits 564
% 17.42/3.20 lits eq 26
% 17.42/3.20 fd_pure 0
% 17.42/3.20 fd_pseudo 0
% 17.42/3.20 fd_cond 1
% 17.42/3.20 fd_pseudo_cond 9
% 17.42/3.20 AC symbols 0
% 17.42/3.20
% 17.42/3.20 ------ Input Options Time Limit: Unbounded
% 17.42/3.20
% 17.42/3.20
% 17.42/3.20 ------
% 17.42/3.20 Current options:
% 17.42/3.20 ------
% 17.42/3.20
% 17.42/3.20
% 17.42/3.20
% 17.42/3.20
% 17.42/3.20 ------ Proving...
% 17.42/3.20
% 17.42/3.20
% 17.42/3.20 % SZS status Theorem for theBenchmark.p
% 17.42/3.20
% 17.42/3.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.42/3.20
% 17.42/3.21
%------------------------------------------------------------------------------