%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU391+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.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 02:57:19 PM UTC 2026
% Result : Theorem 1.79s 1.18s
% Output : CNFRefutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of formulae : 68 ( 14 unt; 0 def)
% Number of atoms : 325 ( 43 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 416 ( 159 ~; 189 |; 54 &)
% ( 5 <=>; 7 =>; 0 <=; 2 <~>)
% Maximal formula depth : 13 ( 6 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 : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 108 ( 0 sgn 91 !; 17 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> filter_of_net_str(X0,X1) = a_2_1_yellow19(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_yellow19) ).
fof(f61,axiom,
! [X0,X1,X2] :
( ( net_str(X2,X1)
& ~ empty_carrier(X2)
& one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ( in(X0,a_2_1_yellow19(X1,X2))
<=> ? [X3] :
( is_eventually_in(X1,X2,X3)
& X0 = X3
& element(X3,powerset(the_carrier(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_1_yellow19) ).
fof(f92,conjecture,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( in(X2,filter_of_net_str(X0,X1))
<=> ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_yellow19) ).
fof(f93,negated_conjecture,
~ ! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( in(X2,filter_of_net_str(X0,X1))
<=> ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f92]) ).
fof(f131,plain,
? [X0] :
( one_sorted_str(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( net_str(X1,X0)
& ~ empty_carrier(X1)
& ? [X2] :
( in(X2,filter_of_net_str(X0,X1))
<~> ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) ) ) ) ),
inference(ennf_transformation,[],[f93]) ).
fof(f132,plain,
? [X0] :
( one_sorted_str(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( net_str(X1,X0)
& ~ empty_carrier(X1)
& ? [X2] :
( in(X2,filter_of_net_str(X0,X1))
<~> ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) ) ) ) ),
inference(flattening,[],[f131]) ).
fof(f149,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| empty_carrier(X1)
| filter_of_net_str(X0,X1) = a_2_1_yellow19(X0,X1) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f150,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| empty_carrier(X1)
| filter_of_net_str(X0,X1) = a_2_1_yellow19(X0,X1) ) ),
inference(flattening,[],[f149]) ).
fof(f154,plain,
! [X0,X1,X2] :
( ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ( in(X0,a_2_1_yellow19(X1,X2))
<=> ? [X3] :
( is_eventually_in(X1,X2,X3)
& X0 = X3
& element(X3,powerset(the_carrier(X1))) ) ) ),
inference(ennf_transformation,[],[f61]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ( in(X0,a_2_1_yellow19(X1,X2))
<=> ? [X3] :
( is_eventually_in(X1,X2,X3)
& X0 = X3
& element(X3,powerset(the_carrier(X1))) ) ) ),
inference(flattening,[],[f154]) ).
fof(f215,plain,
? [X0] :
( one_sorted_str(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( net_str(X1,X0)
& ~ empty_carrier(X1)
& ? [X2] :
( ( in(X2,filter_of_net_str(X0,X1))
| ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) ) )
& ( ~ in(X2,filter_of_net_str(X0,X1))
| ~ element(X2,powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,X2) ) ) ) ),
inference(nnf_transformation,[],[f132]) ).
fof(f216,plain,
? [X0] :
( one_sorted_str(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( net_str(X1,X0)
& ~ empty_carrier(X1)
& ? [X2] :
( ( in(X2,filter_of_net_str(X0,X1))
| ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) ) )
& ( ~ in(X2,filter_of_net_str(X0,X1))
| ~ element(X2,powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,X2) ) ) ) ),
inference(flattening,[],[f215]) ).
fof(f217,plain,
( one_sorted_str(sK1)
& ~ empty_carrier(sK1)
& net_str(sK2,sK1)
& ~ empty_carrier(sK2)
& ( in(sK3,filter_of_net_str(sK1,sK2))
| ( element(sK3,powerset(the_carrier(sK1)))
& is_eventually_in(sK1,sK2,sK3) ) )
& ( ~ in(sK3,filter_of_net_str(sK1,sK2))
| ~ element(sK3,powerset(the_carrier(sK1)))
| ~ is_eventually_in(sK1,sK2,sK3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f216]) ).
fof(f227,plain,
! [X0,X1,X2] :
( ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ( ( ~ in(X0,a_2_1_yellow19(X1,X2))
| ? [X3] :
( is_eventually_in(X1,X2,X3)
& X0 = X3
& element(X3,powerset(the_carrier(X1))) ) )
& ( ! [X3] :
( ~ is_eventually_in(X1,X2,X3)
| X0 != X3
| ~ element(X3,powerset(the_carrier(X1))) )
| in(X0,a_2_1_yellow19(X1,X2)) ) ) ),
inference(nnf_transformation,[],[f155]) ).
fof(f228,plain,
! [X0,X1,X2] :
( ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ( ( ~ in(X0,a_2_1_yellow19(X1,X2))
| ? [X4] :
( is_eventually_in(X1,X2,X4)
& X0 = X4
& element(X4,powerset(the_carrier(X1))) ) )
& ( ! [X3] :
( ~ is_eventually_in(X1,X2,X3)
| X0 != X3
| ~ element(X3,powerset(the_carrier(X1))) )
| in(X0,a_2_1_yellow19(X1,X2)) ) ) ),
inference(rectify,[],[f227]) ).
fof(f229,plain,
! [X0,X1,X2] :
( ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ( ( ~ in(X0,a_2_1_yellow19(X1,X2))
| ( is_eventually_in(X1,X2,sK12(X0,X1,X2))
& sK12(X0,X1,X2) = X0
& element(sK12(X0,X1,X2),powerset(the_carrier(X1))) ) )
& ( ! [X3] :
( ~ is_eventually_in(X1,X2,X3)
| X0 != X3
| ~ element(X3,powerset(the_carrier(X1))) )
| in(X0,a_2_1_yellow19(X1,X2)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X4,sK12(X0,X1,X2))],[f228]) ).
fof(f248,plain,
one_sorted_str(sK1),
inference(cnf_transformation,[],[f217]) ).
fof(f249,plain,
~ empty_carrier(sK1),
inference(cnf_transformation,[],[f217]) ).
fof(f250,plain,
net_str(sK2,sK1),
inference(cnf_transformation,[],[f217]) ).
fof(f251,plain,
~ empty_carrier(sK2),
inference(cnf_transformation,[],[f217]) ).
fof(f252,plain,
( in(sK3,filter_of_net_str(sK1,sK2))
| element(sK3,powerset(the_carrier(sK1))) ),
inference(cnf_transformation,[],[f217]) ).
fof(f253,plain,
( in(sK3,filter_of_net_str(sK1,sK2))
| is_eventually_in(sK1,sK2,sK3) ),
inference(cnf_transformation,[],[f217]) ).
fof(f254,plain,
( ~ in(sK3,filter_of_net_str(sK1,sK2))
| ~ element(sK3,powerset(the_carrier(sK1)))
| ~ is_eventually_in(sK1,sK2,sK3) ),
inference(cnf_transformation,[],[f217]) ).
fof(f272,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| filter_of_net_str(X0,X1) = a_2_1_yellow19(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ in(X0,a_2_1_yellow19(X1,X2))
| is_eventually_in(X1,X2,sK12(X0,X1,X2)) ),
inference(cnf_transformation,[],[f229]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ in(X0,a_2_1_yellow19(X1,X2))
| sK12(X0,X1,X2) = X0 ),
inference(cnf_transformation,[],[f229]) ).
fof(f282,plain,
! [X2,X0,X1] :
( ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ in(X0,a_2_1_yellow19(X1,X2))
| element(sK12(X0,X1,X2),powerset(the_carrier(X1))) ),
inference(cnf_transformation,[],[f229]) ).
fof(f283,plain,
! [X2,X3,X0,X1] :
( ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ is_eventually_in(X1,X2,X3)
| X0 != X3
| ~ element(X3,powerset(the_carrier(X1)))
| in(X0,a_2_1_yellow19(X1,X2)) ),
inference(cnf_transformation,[],[f229]) ).
fof(f417,plain,
! [X2,X3,X1] :
( ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ is_eventually_in(X1,X2,X3)
| ~ element(X3,powerset(the_carrier(X1)))
| in(X3,a_2_1_yellow19(X1,X2)) ),
inference(equality_resolution,[],[f283]) ).
tcf(c_49,negated_conjecture,
( ~ is_eventually_in(sK1,sK2,sK3)
| ~ in(sK3,filter_of_net_str(sK1,sK2))
| ~ element(sK3,powerset(the_carrier(sK1))) ),
inference(cnf_transformation,[],[f254]) ).
tcf(c_50,negated_conjecture,
( is_eventually_in(sK1,sK2,sK3)
| in(sK3,filter_of_net_str(sK1,sK2)) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_51,negated_conjecture,
( in(sK3,filter_of_net_str(sK1,sK2))
| element(sK3,powerset(the_carrier(sK1))) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_52,negated_conjecture,
~ empty_carrier(sK2),
inference(cnf_transformation,[],[f251]) ).
tcf(c_53,negated_conjecture,
net_str(sK2,sK1),
inference(cnf_transformation,[],[f250]) ).
tcf(c_54,negated_conjecture,
~ empty_carrier(sK1),
inference(cnf_transformation,[],[f249]) ).
tcf(c_55,negated_conjecture,
one_sorted_str(sK1),
inference(cnf_transformation,[],[f248]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( empty_carrier(X1)
| empty_carrier(X0)
| ( filter_of_net_str(X1,X0) = a_2_1_yellow19(X1,X0) )
| ~ one_sorted_str(X1)
| ~ net_str(X0,X1) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X2)
| empty_carrier(X1)
| in(X0,a_2_1_yellow19(X1,X2))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ is_eventually_in(X1,X2,X0)
| ~ element(X0,powerset(the_carrier(X1))) ),
inference(cnf_transformation,[],[f417]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X2)
| empty_carrier(X1)
| element(sK12(X0,X1,X2),powerset(the_carrier(X1)))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ in(X0,a_2_1_yellow19(X1,X2)) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X2)
| empty_carrier(X1)
| ( sK12(X0,X1,X2) = X0 )
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ in(X0,a_2_1_yellow19(X1,X2)) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X2)
| empty_carrier(X1)
| is_eventually_in(X1,X2,sK12(X0,X1,X2))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ in(X0,a_2_1_yellow19(X1,X2)) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_1511,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X1)
| empty_carrier(X0)
| in(sK3,filter_of_net_str(sK1,sK2))
| in(X2,a_2_1_yellow19(X0,X1))
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ element(X2,powerset(the_carrier(X0)))
| ( X2 != sK3 )
| ( X1 != sK2 )
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_81]) ).
tcf(c_1512,plain,
( empty_carrier(sK2)
| empty_carrier(sK1)
| in(sK3,a_2_1_yellow19(sK1,sK2))
| in(sK3,filter_of_net_str(sK1,sK2))
| ~ one_sorted_str(sK1)
| ~ net_str(sK2,sK1)
| ~ element(sK3,powerset(the_carrier(sK1))) ),
inference(unflattening,[status(thm)],[c_1511]) ).
tcf(c_1513,plain,
( in(sK3,a_2_1_yellow19(sK1,sK2))
| in(sK3,filter_of_net_str(sK1,sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_1512,c_55,c_54,c_53,c_52,c_51,c_1512]) ).
tcf(c_1521,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X1)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ in(sK3,filter_of_net_str(sK1,sK2))
| ~ element(sK3,powerset(the_carrier(sK1)))
| ~ in(X2,a_2_1_yellow19(X0,X1))
| ( X1 != sK2 )
| ( X0 != sK1 )
| ( sK12(X2,X0,X1) != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_84]) ).
tcf(c_1522,plain,
! [X0: $i] :
( empty_carrier(sK2)
| empty_carrier(sK1)
| ~ one_sorted_str(sK1)
| ~ net_str(sK2,sK1)
| ~ in(sK3,filter_of_net_str(sK1,sK2))
| ~ element(sK3,powerset(the_carrier(sK1)))
| ~ in(X0,a_2_1_yellow19(sK1,sK2))
| ( sK12(X0,sK1,sK2) != sK3 ) ),
inference(unflattening,[status(thm)],[c_1521]) ).
tcf(c_1524,plain,
! [X0: $i] :
( ~ in(sK3,filter_of_net_str(sK1,sK2))
| ~ element(sK3,powerset(the_carrier(sK1)))
| ~ in(X0,a_2_1_yellow19(sK1,sK2))
| ( sK12(X0,sK1,sK2) != sK3 ) ),
inference(global_subsumption_just,[status(thm)],[c_1522,c_55,c_54,c_53,c_52,c_1522]) ).
tcf(c_1706,plain,
! [X0: $i,X1: $i] :
( empty_carrier(X1)
| empty_carrier(X0)
| ( filter_of_net_str(X0,X1) = a_2_1_yellow19(X0,X1) )
| ~ one_sorted_str(X0)
| ( X1 != sK2 )
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_73]) ).
tcf(c_1707,plain,
( empty_carrier(sK2)
| empty_carrier(sK1)
| ( filter_of_net_str(sK1,sK2) = a_2_1_yellow19(sK1,sK2) )
| ~ one_sorted_str(sK1) ),
inference(unflattening,[status(thm)],[c_1706]) ).
tcf(c_1708,plain,
filter_of_net_str(sK1,sK2) = a_2_1_yellow19(sK1,sK2),
inference(global_subsumption_just,[status(thm)],[c_1707,c_55,c_54,c_52,c_1707]) ).
tcf(c_1732,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X1)
| empty_carrier(X0)
| ( sK12(X2,X0,X1) = X2 )
| ~ one_sorted_str(X0)
| ~ in(X2,a_2_1_yellow19(X0,X1))
| ( X1 != sK2 )
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_83]) ).
tcf(c_1733,plain,
! [X0: $i] :
( empty_carrier(sK2)
| empty_carrier(sK1)
| ( sK12(X0,sK1,sK2) = X0 )
| ~ one_sorted_str(sK1)
| ~ in(X0,a_2_1_yellow19(sK1,sK2)) ),
inference(unflattening,[status(thm)],[c_1732]) ).
tcf(c_1735,plain,
! [X0: $i] :
( ( sK12(X0,sK1,sK2) = X0 )
| ~ in(X0,a_2_1_yellow19(sK1,sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_1733,c_55,c_54,c_52,c_1733]) ).
tcf(c_1744,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X1)
| empty_carrier(X0)
| element(sK12(X2,X0,X1),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0)
| ~ in(X2,a_2_1_yellow19(X0,X1))
| ( X1 != sK2 )
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_82]) ).
tcf(c_1745,plain,
! [X0: $i] :
( empty_carrier(sK2)
| empty_carrier(sK1)
| element(sK12(X0,sK1,sK2),powerset(the_carrier(sK1)))
| ~ one_sorted_str(sK1)
| ~ in(X0,a_2_1_yellow19(sK1,sK2)) ),
inference(unflattening,[status(thm)],[c_1744]) ).
tcf(c_1747,plain,
! [X0: $i] :
( element(sK12(X0,sK1,sK2),powerset(the_carrier(sK1)))
| ~ in(X0,a_2_1_yellow19(sK1,sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_1745,c_55,c_54,c_52,c_1745]) ).
tcf(c_3779,plain,
in(sK3,filter_of_net_str(sK1,sK2)),
inference(light_normalisation,[status(thm)],[c_1513,c_1708]) ).
tcf(c_3814,plain,
! [X0: $i] :
( ( sK12(X0,sK1,sK2) = X0 )
| ~ in(X0,filter_of_net_str(sK1,sK2)) ),
inference(light_normalisation,[status(thm)],[c_1735,c_1708]) ).
tcf(c_3821,plain,
! [X0: $i] :
( element(sK12(X0,sK1,sK2),powerset(the_carrier(sK1)))
| ~ in(X0,filter_of_net_str(sK1,sK2)) ),
inference(light_normalisation,[status(thm)],[c_1747,c_1708]) ).
tcf(c_3893,plain,
! [X0: $i] :
( ~ in(sK3,filter_of_net_str(sK1,sK2))
| ~ element(sK3,powerset(the_carrier(sK1)))
| ~ in(X0,filter_of_net_str(sK1,sK2))
| ( sK12(X0,sK1,sK2) != sK3 ) ),
inference(light_normalisation,[status(thm)],[c_1524,c_1708]) ).
tcf(c_3894,plain,
! [X0: $i] :
( ~ element(sK3,powerset(the_carrier(sK1)))
| ~ in(X0,filter_of_net_str(sK1,sK2))
| ( sK12(X0,sK1,sK2) != sK3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3893,c_3779]) ).
tcf(c_7301,plain,
sK12(sK3,sK1,sK2) = sK3,
inference(superposition,[status(thm)],[c_3779,c_3814]) ).
tcf(c_7315,plain,
( element(sK3,powerset(the_carrier(sK1)))
| ~ in(sK3,filter_of_net_str(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_7301,c_3821]) ).
tcf(c_7316,plain,
element(sK3,powerset(the_carrier(sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_7315,c_3779]) ).
tcf(c_7327,plain,
! [X0: $i] :
( ( sK12(X0,sK1,sK2) != sK3 )
| ~ in(X0,filter_of_net_str(sK1,sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_3894,c_3894,c_7316]) ).
tcf(c_7328,plain,
! [X0: $i] :
( ~ in(X0,filter_of_net_str(sK1,sK2))
| ( sK12(X0,sK1,sK2) != sK3 ) ),
inference(renaming,[status(thm)],[c_7327]) ).
tcf(c_7334,plain,
~ in(sK3,filter_of_net_str(sK1,sK2)),
inference(superposition,[status(thm)],[c_7301,c_7328]) ).
tcf(c_7335,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7334,c_3779]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU391+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 13:58:04 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 1.79/1.18 % SZS status Started for theBenchmark.p
% 1.79/1.18 % SZS status Theorem for theBenchmark.p
% 1.79/1.18
% 1.79/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.79/1.18
% 1.79/1.18 % ------ iProver source info
% 1.79/1.18
% 1.79/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 1.79/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.79/1.18 % git: non_committed_changes: false
% 1.79/1.18
% 1.79/1.18 % ------ Parsing...
% 1.79/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.79/1.18
% 1.79/1.18 % ------ Preprocessing... sup_sim: 0 sf_s rm: 10 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 6 sf_s rm: 15 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 15 0s sf_e pe_s pe_e %
% 1.79/1.18
% 1.79/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.79/1.18
% 1.79/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.79/1.18 % ------ Proving...
% 1.79/1.18 % ------ Problem Properties
% 1.79/1.18
% 1.79/1.18 %
% 1.79/1.18 % clauses 111
% 1.79/1.18 % conjectures 3
% 1.79/1.18 % EPR 23
% 1.79/1.18 % Horn 99
% 1.79/1.18 % unary 73
% 1.79/1.18 % binary 19
% 1.79/1.18 % lits 176
% 1.79/1.18 % lits eq 8
% 1.79/1.18 % fd_pure 0
% 1.79/1.18 % fd_pseudo 0
% 1.79/1.18 % fd_cond 0
% 1.79/1.18 % fd_pseudo_cond 3
% 1.79/1.18 % AC symbols 0
% 1.79/1.18
% 1.79/1.18 % ------ Schedule dynamic 5 is on
% 1.79/1.18
% 1.79/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.79/1.18
% 1.79/1.18
% 1.79/1.18 % ------
% 1.79/1.18 % Current options:
% 1.79/1.18 % ------
% 1.79/1.18
% 1.79/1.18
% 1.79/1.18 %
% 1.79/1.18
% 1.79/1.18 % ------ Proving...
% 1.79/1.18 %
% 1.79/1.18
% 1.79/1.18 % SZS status Theorem for theBenchmark.p
% 1.79/1.18
% 1.79/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.79/1.18
% 1.79/1.18
%------------------------------------------------------------------------------