%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU367+1 : 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 : n005.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 02:57:14 PM UTC 2026
% Result : Theorem 7.03s 2.28s
% Output : CNFRefutation 7.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of formulae : 142 ( 18 unt; 0 def)
% Number of atoms : 617 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 787 ( 312 ~; 381 |; 67 &)
% ( 7 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 294 ( 0 sgn 271 !; 23 ?; 131 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( is_eventually_in(X0,X1,X2)
<=> ? [X3] :
( ! [X4] :
( element(X4,the_carrier(X1))
=> ( related(X1,X3,X4)
=> in(apply_netmap(X0,X1,X4),X2) ) )
& element(X3,the_carrier(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_waybel_0) ).
fof(f6,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( is_often_in(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X1))
=> ? [X4] :
( in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_waybel_0) ).
fof(f26,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f46,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f47,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f48,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f49,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f53,conjecture,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2,X3] :
( subset(X2,X3)
=> ( ( is_often_in(X0,X1,X2)
=> is_often_in(X0,X1,X3) )
& ( is_eventually_in(X0,X1,X2)
=> is_eventually_in(X0,X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_waybel_0) ).
fof(f54,negated_conjecture,
~ ! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2,X3] :
( subset(X2,X3)
=> ( ( is_often_in(X0,X1,X2)
=> is_often_in(X0,X1,X3) )
& ( is_eventually_in(X0,X1,X2)
=> is_eventually_in(X0,X1,X3) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f56,plain,
! [X0,X1] :
( subset(X0,X1)
=> element(X0,powerset(X1)) ),
inference(unused_predicate_definition_removal,[],[f47]) ).
fof(f57,plain,
? [X0] :
( one_sorted_str(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( net_str(X1,X0)
& ~ empty_carrier(X1)
& ? [X2,X3] :
( subset(X2,X3)
& ( ( is_often_in(X0,X1,X2)
& ~ is_often_in(X0,X1,X3) )
| ( is_eventually_in(X0,X1,X2)
& ~ is_eventually_in(X0,X1,X3) ) ) ) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f58,plain,
? [X0] :
( one_sorted_str(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( net_str(X1,X0)
& ~ empty_carrier(X1)
& ? [X2,X3] :
( subset(X2,X3)
& ( ( is_often_in(X0,X1,X2)
& ~ is_often_in(X0,X1,X3) )
| ( is_eventually_in(X0,X1,X2)
& ~ is_eventually_in(X0,X1,X3) ) ) ) ) ),
inference(flattening,[],[f57]) ).
fof(f64,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| empty_carrier(X1)
| ! [X2] :
( is_eventually_in(X0,X1,X2)
<=> ? [X3] :
( ! [X4] :
( ~ element(X4,the_carrier(X1))
| ~ related(X1,X3,X4)
| in(apply_netmap(X0,X1,X4),X2) )
& element(X3,the_carrier(X1)) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f65,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| empty_carrier(X1)
| ! [X2] :
( is_eventually_in(X0,X1,X2)
<=> ? [X3] :
( ! [X4] :
( ~ element(X4,the_carrier(X1))
| ~ related(X1,X3,X4)
| in(apply_netmap(X0,X1,X4),X2) )
& element(X3,the_carrier(X1)) ) ) ) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| empty_carrier(X1)
| ! [X2] :
( is_often_in(X0,X1,X2)
<=> ! [X3] :
( ~ element(X3,the_carrier(X1))
| ? [X4] :
( in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) ) ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f67,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| empty_carrier(X1)
| ! [X2] :
( is_often_in(X0,X1,X2)
<=> ! [X3] :
( ~ element(X3,the_carrier(X1))
| ? [X4] :
( in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) ) ) ) ) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(ennf_transformation,[],[f56]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(ennf_transformation,[],[f48]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(flattening,[],[f70]) ).
fof(f74,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f75,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(flattening,[],[f74]) ).
fof(f80,plain,
( one_sorted_str(sK0)
& ~ empty_carrier(sK0)
& net_str(sK1,sK0)
& ~ empty_carrier(sK1)
& subset(sK2,sK3)
& ( ( is_often_in(sK0,sK1,sK2)
& ~ is_often_in(sK0,sK1,sK3) )
| ( is_eventually_in(sK0,sK1,sK2)
& ~ is_eventually_in(sK0,sK1,sK3) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f58]) ).
fof(f85,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| empty_carrier(X1)
| ! [X2] :
( ( ~ is_eventually_in(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ element(X4,the_carrier(X1))
| ~ related(X1,X3,X4)
| in(apply_netmap(X0,X1,X4),X2) )
& element(X3,the_carrier(X1)) ) )
& ( ! [X3] :
( ? [X4] :
( element(X4,the_carrier(X1))
& related(X1,X3,X4)
& ~ in(apply_netmap(X0,X1,X4),X2) )
| ~ element(X3,the_carrier(X1)) )
| is_eventually_in(X0,X1,X2) ) ) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f86,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| empty_carrier(X1)
| ! [X2] :
( ( ~ is_eventually_in(X0,X1,X2)
| ? [X5] :
( ! [X6] :
( ~ element(X6,the_carrier(X1))
| ~ related(X1,X5,X6)
| in(apply_netmap(X0,X1,X6),X2) )
& element(X5,the_carrier(X1)) ) )
& ( ! [X3] :
( ? [X4] :
( element(X4,the_carrier(X1))
& related(X1,X3,X4)
& ~ in(apply_netmap(X0,X1,X4),X2) )
| ~ element(X3,the_carrier(X1)) )
| is_eventually_in(X0,X1,X2) ) ) ) ),
inference(rectify,[],[f85]) ).
fof(f87,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| empty_carrier(X1)
| ! [X2] :
( ( ~ is_eventually_in(X0,X1,X2)
| ( ! [X6] :
( ~ element(X6,the_carrier(X1))
| ~ related(X1,sK9(X0,X1,X2),X6)
| in(apply_netmap(X0,X1,X6),X2) )
& element(sK9(X0,X1,X2),the_carrier(X1)) ) )
& ( ! [X3] :
( ( element(sK8(X0,X1,X2,X3),the_carrier(X1))
& related(X1,X3,sK8(X0,X1,X2,X3))
& ~ in(apply_netmap(X0,X1,sK8(X0,X1,X2,X3)),X2) )
| ~ element(X3,the_carrier(X1)) )
| is_eventually_in(X0,X1,X2) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X4,sK8(X0,X1,X2,X3)),skolemize(X5,sK9(X0,X1,X2))],[f86]) ).
fof(f88,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| empty_carrier(X1)
| ! [X2] :
( ( ~ is_often_in(X0,X1,X2)
| ! [X3] :
( ~ element(X3,the_carrier(X1))
| ? [X4] :
( in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) ) ) )
& ( ? [X3] :
( element(X3,the_carrier(X1))
& ! [X4] :
( ~ in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) ) )
| is_often_in(X0,X1,X2) ) ) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f89,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| empty_carrier(X1)
| ! [X2] :
( ( ~ is_often_in(X0,X1,X2)
| ! [X5] :
( ~ element(X5,the_carrier(X1))
| ? [X6] :
( in(apply_netmap(X0,X1,X6),X2)
& related(X1,X5,X6)
& element(X6,the_carrier(X1)) ) ) )
& ( ? [X3] :
( element(X3,the_carrier(X1))
& ! [X4] :
( ~ in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) ) )
| is_often_in(X0,X1,X2) ) ) ) ),
inference(rectify,[],[f88]) ).
fof(f90,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| empty_carrier(X1)
| ! [X2] :
( ( ~ is_often_in(X0,X1,X2)
| ! [X5] :
( ~ element(X5,the_carrier(X1))
| ( in(apply_netmap(X0,X1,sK11(X0,X1,X2,X5)),X2)
& related(X1,X5,sK11(X0,X1,X2,X5))
& element(sK11(X0,X1,X2,X5),the_carrier(X1)) ) ) )
& ( ( element(sK10(X0,X1,X2),the_carrier(X1))
& ! [X4] :
( ~ in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,sK10(X0,X1,X2),X4)
| ~ element(X4,the_carrier(X1)) ) )
| is_often_in(X0,X1,X2) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X3,sK10(X0,X1,X2)),skolemize(X6,sK11(X0,X1,X2,X5))],[f89]) ).
fof(f95,plain,
! [X0] : element(sK16(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X1,sK16(X0))],[f26]) ).
fof(f96,plain,
one_sorted_str(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f97,plain,
~ empty_carrier(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f98,plain,
net_str(sK1,sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f99,plain,
~ empty_carrier(sK1),
inference(cnf_transformation,[],[f80]) ).
fof(f100,plain,
subset(sK2,sK3),
inference(cnf_transformation,[],[f80]) ).
fof(f101,plain,
( is_often_in(sK0,sK1,sK2)
| is_eventually_in(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f102,plain,
( ~ is_often_in(sK0,sK1,sK3)
| is_eventually_in(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f103,plain,
( is_often_in(sK0,sK1,sK2)
| ~ is_eventually_in(sK0,sK1,sK3) ),
inference(cnf_transformation,[],[f80]) ).
fof(f104,plain,
( ~ is_often_in(sK0,sK1,sK3)
| ~ is_eventually_in(sK0,sK1,sK3) ),
inference(cnf_transformation,[],[f80]) ).
fof(f112,plain,
! [X2,X0,X1,X6] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ is_eventually_in(X0,X1,X2)
| ~ element(X6,the_carrier(X1))
| ~ related(X1,sK9(X0,X1,X2),X6)
| in(apply_netmap(X0,X1,X6),X2) ),
inference(cnf_transformation,[],[f87]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ is_eventually_in(X0,X1,X2)
| element(sK9(X0,X1,X2),the_carrier(X1)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f114,plain,
! [X2,X3,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| element(sK8(X0,X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| is_eventually_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f87]) ).
fof(f115,plain,
! [X2,X3,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| related(X1,X3,sK8(X0,X1,X2,X3))
| ~ element(X3,the_carrier(X1))
| is_eventually_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f87]) ).
fof(f116,plain,
! [X2,X3,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ in(apply_netmap(X0,X1,sK8(X0,X1,X2,X3)),X2)
| ~ element(X3,the_carrier(X1))
| is_eventually_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f87]) ).
fof(f117,plain,
! [X2,X0,X1,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ is_often_in(X0,X1,X2)
| ~ element(X5,the_carrier(X1))
| in(apply_netmap(X0,X1,sK11(X0,X1,X2,X5)),X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f118,plain,
! [X2,X0,X1,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ is_often_in(X0,X1,X2)
| ~ element(X5,the_carrier(X1))
| related(X1,X5,sK11(X0,X1,X2,X5)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f119,plain,
! [X2,X0,X1,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ is_often_in(X0,X1,X2)
| ~ element(X5,the_carrier(X1))
| element(sK11(X0,X1,X2,X5),the_carrier(X1)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| element(sK10(X0,X1,X2),the_carrier(X1))
| is_often_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f121,plain,
! [X2,X0,X1,X4] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,sK10(X0,X1,X2),X4)
| ~ element(X4,the_carrier(X1))
| is_often_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f122,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f133,plain,
! [X0] : element(sK16(X0),X0),
inference(cnf_transformation,[],[f95]) ).
fof(f135,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_49,negated_conjecture,
( ~ is_often_in(sK0,sK1,sK3)
| ~ is_eventually_in(sK0,sK1,sK3) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_50,negated_conjecture,
( is_often_in(sK0,sK1,sK2)
| ~ is_eventually_in(sK0,sK1,sK3) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_51,negated_conjecture,
( is_eventually_in(sK0,sK1,sK2)
| ~ is_often_in(sK0,sK1,sK3) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_52,negated_conjecture,
( is_often_in(sK0,sK1,sK2)
| is_eventually_in(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_53,negated_conjecture,
subset(sK2,sK3),
inference(cnf_transformation,[],[f100]) ).
tcf(c_54,negated_conjecture,
~ empty_carrier(sK1),
inference(cnf_transformation,[],[f99]) ).
tcf(c_55,negated_conjecture,
net_str(sK1,sK0),
inference(cnf_transformation,[],[f98]) ).
tcf(c_56,negated_conjecture,
~ empty_carrier(sK0),
inference(cnf_transformation,[],[f97]) ).
tcf(c_57,negated_conjecture,
one_sorted_str(sK0),
inference(cnf_transformation,[],[f96]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( empty_carrier(X1)
| empty_carrier(X0)
| is_eventually_in(X0,X1,X2)
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ element(X3,the_carrier(X1))
| ~ in(apply_netmap(X0,X1,sK8(X0,X1,X2,X3)),X2) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( empty_carrier(X2)
| empty_carrier(X1)
| is_eventually_in(X2,X1,X3)
| related(X1,X0,sK8(X2,X1,X3,X0))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ element(X0,the_carrier(X1)) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( empty_carrier(X2)
| empty_carrier(X1)
| is_eventually_in(X2,X1,X3)
| element(sK8(X2,X1,X3,X0),the_carrier(X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ element(X0,the_carrier(X1)) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X1)
| empty_carrier(X0)
| element(sK9(X0,X1,X2),the_carrier(X1))
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ is_eventually_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( empty_carrier(X1)
| empty_carrier(X0)
| in(apply_netmap(X1,X0,X3),X2)
| ~ one_sorted_str(X1)
| ~ net_str(X0,X1)
| ~ element(X3,the_carrier(X0))
| ~ is_eventually_in(X1,X0,X2)
| ~ related(X0,sK9(X1,X0,X2),X3) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( empty_carrier(X1)
| empty_carrier(X0)
| is_often_in(X1,X0,X2)
| ~ one_sorted_str(X1)
| ~ net_str(X0,X1)
| ~ element(X3,the_carrier(X0))
| ~ in(apply_netmap(X1,X0,X3),X2)
| ~ related(X0,sK10(X1,X0,X2),X3) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X1)
| empty_carrier(X0)
| is_often_in(X1,X0,X2)
| element(sK10(X1,X0,X2),the_carrier(X0))
| ~ one_sorted_str(X1)
| ~ net_str(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( empty_carrier(X1)
| empty_carrier(X0)
| element(sK11(X0,X1,X2,X3),the_carrier(X1))
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ element(X3,the_carrier(X1))
| ~ is_often_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( empty_carrier(X1)
| empty_carrier(X0)
| related(X1,X3,sK11(X0,X1,X2,X3))
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ element(X3,the_carrier(X1))
| ~ is_often_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( empty_carrier(X1)
| empty_carrier(X0)
| in(apply_netmap(X0,X1,sK11(X0,X1,X2,X3)),X2)
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ element(X3,the_carrier(X1))
| ~ is_often_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ empty(X1)
| ~ in(X2,X0)
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( element(X2,X1)
| ~ in(X2,X0)
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_86,plain,
! [X0: $i] : element(sK16(X0),X0),
inference(cnf_transformation,[],[f133]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_381,plain,
element(sK2,powerset(sK3)),
inference(resolution,[status(thm)],[c_53,c_75]) ).
tcf(c_580,plain,
! [X0: $i,X1: $i] :
( empty_carrier(sK1)
| empty_carrier(sK0)
| in(apply_netmap(sK0,sK1,sK11(sK0,sK1,X0,X1)),X0)
| ~ one_sorted_str(sK0)
| ~ element(X1,the_carrier(sK1))
| ~ is_often_in(sK0,sK1,X0) ),
inference(resolution,[status(thm)],[c_55,c_74]) ).
tcf(c_582,plain,
! [X0: $i,X1: $i] :
( in(apply_netmap(sK0,sK1,sK11(sK0,sK1,X0,X1)),X0)
| ~ is_often_in(sK0,sK1,X0)
| ~ element(X1,the_carrier(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_580,c_57,c_56,c_54,c_580]) ).
tcf(c_583,plain,
! [X0: $i,X1: $i] :
( in(apply_netmap(sK0,sK1,sK11(sK0,sK1,X0,X1)),X0)
| ~ element(X1,the_carrier(sK1))
| ~ is_often_in(sK0,sK1,X0) ),
inference(renaming,[status(thm)],[c_582]) ).
tcf(c_594,plain,
! [X0: $i,X1: $i] :
( empty_carrier(sK1)
| empty_carrier(sK0)
| related(sK1,X1,sK11(sK0,sK1,X0,X1))
| ~ one_sorted_str(sK0)
| ~ element(X1,the_carrier(sK1))
| ~ is_often_in(sK0,sK1,X0) ),
inference(resolution,[status(thm)],[c_55,c_73]) ).
tcf(c_596,plain,
! [X0: $i,X1: $i] :
( related(sK1,X1,sK11(sK0,sK1,X0,X1))
| ~ is_often_in(sK0,sK1,X0)
| ~ element(X1,the_carrier(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_594,c_57,c_56,c_54,c_594]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i] :
( related(sK1,X1,sK11(sK0,sK1,X0,X1))
| ~ element(X1,the_carrier(sK1))
| ~ is_often_in(sK0,sK1,X0) ),
inference(renaming,[status(thm)],[c_596]) ).
tcf(c_608,plain,
! [X0: $i,X1: $i] :
( empty_carrier(sK1)
| empty_carrier(sK0)
| element(sK11(sK0,sK1,X0,X1),the_carrier(sK1))
| ~ one_sorted_str(sK0)
| ~ element(X1,the_carrier(sK1))
| ~ is_often_in(sK0,sK1,X0) ),
inference(resolution,[status(thm)],[c_55,c_72]) ).
tcf(c_610,plain,
! [X0: $i,X1: $i] :
( element(sK11(sK0,sK1,X0,X1),the_carrier(sK1))
| ~ is_often_in(sK0,sK1,X0)
| ~ element(X1,the_carrier(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_608,c_57,c_56,c_54,c_608]) ).
tcf(c_611,plain,
! [X0: $i,X1: $i] :
( element(sK11(sK0,sK1,X0,X1),the_carrier(sK1))
| ~ element(X1,the_carrier(sK1))
| ~ is_often_in(sK0,sK1,X0) ),
inference(renaming,[status(thm)],[c_610]) ).
tcf(c_622,plain,
! [X0: $i] :
( empty_carrier(sK1)
| empty_carrier(sK0)
| element(sK9(sK0,sK1,X0),the_carrier(sK1))
| ~ one_sorted_str(sK0)
| ~ is_eventually_in(sK0,sK1,X0) ),
inference(resolution,[status(thm)],[c_55,c_68]) ).
tcf(c_624,plain,
! [X0: $i] :
( element(sK9(sK0,sK1,X0),the_carrier(sK1))
| ~ is_eventually_in(sK0,sK1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_622,c_57,c_56,c_54,c_622]) ).
tcf(c_633,plain,
! [X0: $i,X1: $i] :
( empty_carrier(sK1)
| empty_carrier(sK0)
| is_eventually_in(sK0,sK1,X0)
| ~ one_sorted_str(sK0)
| ~ element(X1,the_carrier(sK1))
| ~ in(apply_netmap(sK0,sK1,sK8(sK0,sK1,X0,X1)),X0) ),
inference(resolution,[status(thm)],[c_55,c_65]) ).
tcf(c_635,plain,
! [X0: $i,X1: $i] :
( is_eventually_in(sK0,sK1,X0)
| ~ in(apply_netmap(sK0,sK1,sK8(sK0,sK1,X0,X1)),X0)
| ~ element(X1,the_carrier(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_633,c_57,c_56,c_54,c_633]) ).
tcf(c_636,plain,
! [X0: $i,X1: $i] :
( is_eventually_in(sK0,sK1,X0)
| ~ element(X1,the_carrier(sK1))
| ~ in(apply_netmap(sK0,sK1,sK8(sK0,sK1,X0,X1)),X0) ),
inference(renaming,[status(thm)],[c_635]) ).
tcf(c_658,plain,
! [X0: $i,X1: $i] :
( empty_carrier(sK1)
| empty_carrier(sK0)
| is_eventually_in(sK0,sK1,X1)
| element(sK8(sK0,sK1,X1,X0),the_carrier(sK1))
| ~ one_sorted_str(sK0)
| ~ element(X0,the_carrier(sK1)) ),
inference(resolution,[status(thm)],[c_55,c_67]) ).
tcf(c_660,plain,
! [X0: $i,X1: $i] :
( is_eventually_in(sK0,sK1,X1)
| element(sK8(sK0,sK1,X1,X0),the_carrier(sK1))
| ~ element(X0,the_carrier(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_658,c_57,c_56,c_54,c_658]) ).
tcf(c_672,plain,
! [X0: $i,X1: $i] :
( empty_carrier(sK1)
| empty_carrier(sK0)
| is_eventually_in(sK0,sK1,X1)
| related(sK1,X0,sK8(sK0,sK1,X1,X0))
| ~ one_sorted_str(sK0)
| ~ element(X0,the_carrier(sK1)) ),
inference(resolution,[status(thm)],[c_55,c_66]) ).
tcf(c_674,plain,
! [X0: $i,X1: $i] :
( is_eventually_in(sK0,sK1,X1)
| related(sK1,X0,sK8(sK0,sK1,X1,X0))
| ~ element(X0,the_carrier(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_672,c_57,c_56,c_54,c_672]) ).
tcf(c_686,plain,
! [X0: $i] :
( empty_carrier(sK1)
| empty_carrier(sK0)
| is_often_in(sK0,sK1,X0)
| element(sK10(sK0,sK1,X0),the_carrier(sK1))
| ~ one_sorted_str(sK0) ),
inference(resolution,[status(thm)],[c_55,c_71]) ).
tcf(c_688,plain,
! [X0: $i] :
( is_often_in(sK0,sK1,X0)
| element(sK10(sK0,sK1,X0),the_carrier(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_686,c_57,c_56,c_54,c_686]) ).
tcf(c_697,plain,
! [X0: $i,X1: $i] :
( empty_carrier(sK1)
| empty_carrier(sK0)
| is_often_in(sK0,sK1,X0)
| ~ one_sorted_str(sK0)
| ~ element(X1,the_carrier(sK1))
| ~ in(apply_netmap(sK0,sK1,X1),X0)
| ~ related(sK1,sK10(sK0,sK1,X0),X1) ),
inference(resolution,[status(thm)],[c_55,c_70]) ).
tcf(c_699,plain,
! [X0: $i,X1: $i] :
( is_often_in(sK0,sK1,X0)
| ~ related(sK1,sK10(sK0,sK1,X0),X1)
| ~ in(apply_netmap(sK0,sK1,X1),X0)
| ~ element(X1,the_carrier(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_697,c_57,c_56,c_54,c_697]) ).
tcf(c_700,plain,
! [X0: $i,X1: $i] :
( is_often_in(sK0,sK1,X0)
| ~ element(X1,the_carrier(sK1))
| ~ in(apply_netmap(sK0,sK1,X1),X0)
| ~ related(sK1,sK10(sK0,sK1,X0),X1) ),
inference(renaming,[status(thm)],[c_699]) ).
tcf(c_714,plain,
! [X0: $i,X1: $i] :
( empty_carrier(sK1)
| empty_carrier(sK0)
| in(apply_netmap(sK0,sK1,X1),X0)
| ~ one_sorted_str(sK0)
| ~ element(X1,the_carrier(sK1))
| ~ is_eventually_in(sK0,sK1,X0)
| ~ related(sK1,sK9(sK0,sK1,X0),X1) ),
inference(resolution,[status(thm)],[c_55,c_69]) ).
tcf(c_716,plain,
! [X0: $i,X1: $i] :
( in(apply_netmap(sK0,sK1,X1),X0)
| ~ related(sK1,sK9(sK0,sK1,X0),X1)
| ~ is_eventually_in(sK0,sK1,X0)
| ~ element(X1,the_carrier(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_714,c_57,c_56,c_54,c_714]) ).
tcf(c_717,plain,
! [X0: $i,X1: $i] :
( in(apply_netmap(sK0,sK1,X1),X0)
| ~ element(X1,the_carrier(sK1))
| ~ is_eventually_in(sK0,sK1,X0)
| ~ related(sK1,sK9(sK0,sK1,X0),X1) ),
inference(renaming,[status(thm)],[c_716]) ).
tcf(c_1045,plain,
! [X0: $i,X1: $i] :
( is_often_in(sK0,sK1,X1)
| ~ is_often_in(sK0,sK1,X0)
| ~ element(sK10(sK0,sK1,X1),the_carrier(sK1))
| ~ element(sK11(sK0,sK1,X0,sK10(sK0,sK1,X1)),the_carrier(sK1))
| ~ in(apply_netmap(sK0,sK1,sK11(sK0,sK1,X0,sK10(sK0,sK1,X1))),X1) ),
inference(resolution,[status(thm)],[c_597,c_700]) ).
tcf(c_1056,plain,
! [X0: $i,X1: $i] :
( is_often_in(sK0,sK1,X1)
| ~ is_often_in(sK0,sK1,X0)
| ~ in(apply_netmap(sK0,sK1,sK11(sK0,sK1,X0,sK10(sK0,sK1,X1))),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1045,c_688,c_611]) ).
tcf(c_2006,plain,
! [X0: $i,X1: $i] :
( is_often_in(sK0,sK1,X1)
| ~ is_often_in(sK0,sK1,X0)
| ~ element(sK10(sK0,sK1,X1),the_carrier(sK1))
| ~ element(sK11(sK0,sK1,X0,sK10(sK0,sK1,X1)),the_carrier(sK1))
| ~ in(apply_netmap(sK0,sK1,sK11(sK0,sK1,X0,sK10(sK0,sK1,X1))),X1) ),
inference(resolution,[status(thm)],[c_597,c_700]) ).
tcf(c_2007,plain,
! [X0: $i,X1: $i] :
( is_often_in(sK0,sK1,X1)
| ~ is_often_in(sK0,sK1,X0)
| ~ in(apply_netmap(sK0,sK1,sK11(sK0,sK1,X0,sK10(sK0,sK1,X1))),X1) ),
inference(global_subsumption_just,[status(thm)],[c_2006,c_1056]) ).
tcf(c_2045,plain,
! [X0: $i,X1: $i] :
( is_eventually_in(sK0,sK1,X0)
| in(apply_netmap(sK0,sK1,sK8(sK0,sK1,X0,sK9(sK0,sK1,X1))),X1)
| ~ is_eventually_in(sK0,sK1,X1)
| ~ element(sK9(sK0,sK1,X1),the_carrier(sK1))
| ~ element(sK8(sK0,sK1,X0,sK9(sK0,sK1,X1)),the_carrier(sK1)) ),
inference(resolution,[status(thm)],[c_674,c_717]) ).
tcf(c_2056,plain,
! [X0: $i,X1: $i] :
( is_eventually_in(sK0,sK1,X1)
| in(apply_netmap(sK0,sK1,sK8(sK0,sK1,X1,sK9(sK0,sK1,X0))),X0)
| ~ is_eventually_in(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2045,c_624,c_660]) ).
tcf(c_2395,plain,
( element(sK9(sK0,sK1,sK2),the_carrier(sK1))
| ~ is_eventually_in(sK0,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_624]) ).
tcf(c_2398,plain,
! [X0: $i] :
( is_eventually_in(sK0,sK1,X0)
| in(apply_netmap(sK0,sK1,sK8(sK0,sK1,X0,sK9(sK0,sK1,sK2))),sK2)
| ~ is_eventually_in(sK0,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_2056]) ).
tcf(c_2434,plain,
! [X0: $i] :
( is_eventually_in(sK0,sK1,X0)
| ~ element(sK9(sK0,sK1,sK2),the_carrier(sK1))
| ~ in(apply_netmap(sK0,sK1,sK8(sK0,sK1,X0,sK9(sK0,sK1,sK2))),X0) ),
inference(instantiation,[status(thm)],[c_636]) ).
tcf(c_2459,plain,
! [X0: $i,X1: $i] :
( element(apply_netmap(sK0,sK1,sK8(sK0,sK1,X0,sK9(sK0,sK1,sK2))),X1)
| ~ element(sK2,powerset(X1))
| ~ in(apply_netmap(sK0,sK1,sK8(sK0,sK1,X0,sK9(sK0,sK1,sK2))),sK2) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_2460,plain,
! [X0: $i,X1: $i] :
( ~ empty(X1)
| ~ element(sK2,powerset(X1))
| ~ in(apply_netmap(sK0,sK1,sK8(sK0,sK1,X0,sK9(sK0,sK1,sK2))),sK2) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_2540,plain,
( is_eventually_in(sK0,sK1,sK3)
| in(apply_netmap(sK0,sK1,sK8(sK0,sK1,sK3,sK9(sK0,sK1,sK2))),sK2)
| ~ is_eventually_in(sK0,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_2398]) ).
tcf(c_2566,plain,
( is_eventually_in(sK0,sK1,sK3)
| ~ element(sK9(sK0,sK1,sK2),the_carrier(sK1))
| ~ in(apply_netmap(sK0,sK1,sK8(sK0,sK1,sK3,sK9(sK0,sK1,sK2))),sK3) ),
inference(instantiation,[status(thm)],[c_2434]) ).
tcf(c_2571,plain,
! [X0: $i] :
( ~ empty(sK3)
| ~ element(sK2,powerset(sK3))
| ~ in(apply_netmap(sK0,sK1,sK8(sK0,sK1,X0,sK9(sK0,sK1,sK2))),sK2) ),
inference(instantiation,[status(thm)],[c_2460]) ).
tcf(c_2579,plain,
! [X0: $i] :
( element(apply_netmap(sK0,sK1,sK8(sK0,sK1,X0,sK9(sK0,sK1,sK2))),sK3)
| ~ element(sK2,powerset(sK3))
| ~ in(apply_netmap(sK0,sK1,sK8(sK0,sK1,X0,sK9(sK0,sK1,sK2))),sK2) ),
inference(instantiation,[status(thm)],[c_2459]) ).
tcf(c_2733,plain,
! [X0: $i] :
( empty(sK3)
| in(X0,sK3)
| ~ element(X0,sK3) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_2763,plain,
( is_often_in(sK0,sK1,sK3)
| element(sK10(sK0,sK1,sK3),the_carrier(sK1)) ),
inference(instantiation,[status(thm)],[c_688]) ).
tcf(c_2942,plain,
( element(apply_netmap(sK0,sK1,sK8(sK0,sK1,sK3,sK9(sK0,sK1,sK2))),sK3)
| ~ element(sK2,powerset(sK3))
| ~ in(apply_netmap(sK0,sK1,sK8(sK0,sK1,sK3,sK9(sK0,sK1,sK2))),sK2) ),
inference(instantiation,[status(thm)],[c_2579]) ).
tcf(c_3090,plain,
( ~ empty(sK3)
| ~ element(sK2,powerset(sK3))
| ~ in(apply_netmap(sK0,sK1,sK8(sK0,sK1,sK3,sK9(sK0,sK1,sK2))),sK2) ),
inference(instantiation,[status(thm)],[c_2571]) ).
tcf(c_4034,plain,
! [X0: $i] :
( ~ empty(sK3)
| ~ in(X0,sK2) ),
inference(superposition,[status(thm)],[c_381,c_77]) ).
tcf(c_4056,plain,
! [X0: $i] :
( ~ empty(sK3)
| ~ in(X0,sK2) ),
inference(superposition,[status(thm)],[c_381,c_77]) ).
tcf(c_4132,plain,
! [X0: $i] :
( ~ empty(sK3)
| ~ is_often_in(sK0,sK1,sK2)
| ~ element(X0,the_carrier(sK1)) ),
inference(superposition,[status(thm)],[c_583,c_4034]) ).
tcf(c_4147,plain,
! [X0: $i] :
( ~ empty(sK3)
| ~ is_often_in(sK0,sK1,sK2)
| ~ element(X0,the_carrier(sK1)) ),
inference(superposition,[status(thm)],[c_583,c_4056]) ).
tcf(c_4245,plain,
! [X0: $i] :
( ~ empty(sK3)
| ~ element(X0,the_carrier(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_4132,c_52,c_50,c_381,c_2540,c_3090,c_4132]) ).
tcf(c_4252,plain,
~ empty(sK3),
inference(superposition,[status(thm)],[c_86,c_4245]) ).
tcf(c_4257,plain,
~ empty(sK3),
inference(global_subsumption_just,[status(thm)],[c_4147,c_4252]) ).
tcf(c_4393,plain,
! [X0: $i] :
( element(X0,sK3)
| ~ in(X0,sK2) ),
inference(superposition,[status(thm)],[c_381,c_78]) ).
tcf(c_4543,plain,
! [X0: $i] :
( element(X0,sK3)
| ~ in(X0,sK2) ),
inference(superposition,[status(thm)],[c_381,c_78]) ).
tcf(c_4606,plain,
! [X0: $i] :
( element(apply_netmap(sK0,sK1,sK11(sK0,sK1,sK2,X0)),sK3)
| ~ is_often_in(sK0,sK1,sK2)
| ~ element(X0,the_carrier(sK1)) ),
inference(superposition,[status(thm)],[c_583,c_4393]) ).
tcf(c_4650,plain,
! [X0: $i] :
( element(apply_netmap(sK0,sK1,sK11(sK0,sK1,sK2,X0)),sK3)
| ~ is_often_in(sK0,sK1,sK2)
| ~ element(X0,the_carrier(sK1)) ),
inference(superposition,[status(thm)],[c_583,c_4543]) ).
tcf(c_4939,plain,
( empty(sK3)
| in(apply_netmap(sK0,sK1,sK8(sK0,sK1,sK3,sK9(sK0,sK1,sK2))),sK3)
| ~ element(apply_netmap(sK0,sK1,sK8(sK0,sK1,sK3,sK9(sK0,sK1,sK2))),sK3) ),
inference(instantiation,[status(thm)],[c_2733]) ).
tcf(c_4976,plain,
! [X0: $i] :
( element(apply_netmap(sK0,sK1,sK11(sK0,sK1,sK2,X0)),sK3)
| ~ element(X0,the_carrier(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_4606,c_52,c_50,c_381,c_2395,c_2540,c_2566,c_2942,c_4252,c_4606,c_4939]) ).
tcf(c_5137,plain,
! [X0: $i] :
( element(apply_netmap(sK0,sK1,sK11(sK0,sK1,sK2,X0)),sK3)
| ~ element(X0,the_carrier(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_4650,c_4976]) ).
tcf(c_5143,plain,
! [X0: $i] :
( empty(sK3)
| in(apply_netmap(sK0,sK1,sK11(sK0,sK1,sK2,X0)),sK3)
| ~ element(X0,the_carrier(sK1)) ),
inference(superposition,[status(thm)],[c_5137,c_88]) ).
tcf(c_5144,plain,
! [X0: $i] :
( in(apply_netmap(sK0,sK1,sK11(sK0,sK1,sK2,X0)),sK3)
| ~ element(X0,the_carrier(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5143,c_4257]) ).
tcf(c_11646,plain,
( is_often_in(sK0,sK1,sK3)
| ~ is_often_in(sK0,sK1,sK2)
| ~ element(sK10(sK0,sK1,sK3),the_carrier(sK1)) ),
inference(superposition,[status(thm)],[c_5144,c_2007]) ).
tcf(c_12012,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_11646,c_4939,c_4252,c_2942,c_2763,c_2566,c_2540,c_2395,c_381,c_49,c_50,c_51,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU367+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 13:51:32 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 7.03/2.28 % SZS status Started for theBenchmark.p
% 7.03/2.28 % SZS status Theorem for theBenchmark.p
% 7.03/2.28
% 7.03/2.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.03/2.28
% 7.03/2.28 % ------ iProver source info
% 7.03/2.28
% 7.03/2.28 % git: date: 2026-07-19 20:42:38 +0200
% 7.03/2.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.03/2.28 % git: non_committed_changes: false
% 7.03/2.28
% 7.03/2.28 % ------ Parsing...
% 7.03/2.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.03/2.28
% 7.03/2.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e %
% 7.03/2.28
% 7.03/2.28 % ------ Preprocessing... gs_s sp: 11 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.03/2.28 % ------ Proving...
% 7.03/2.28 % ------ Problem Properties
% 7.03/2.28
% 7.03/2.28 %
% 7.03/2.28 % clauses 87
% 7.03/2.28 % conjectures 6
% 7.03/2.28 % EPR 13
% 7.03/2.28 % Horn 42
% 7.03/2.28 % unary 17
% 7.03/2.28 % binary 15
% 7.03/2.28 % lits 236
% 7.03/2.28 % lits eq 0
% 7.03/2.28 % fd_pure 0
% 7.03/2.28 % fd_pseudo 0
% 7.03/2.28 % fd_cond 0
% 7.03/2.28 % fd_pseudo_cond 0
% 7.03/2.28 % AC symbols 0
% 7.03/2.28
% 7.03/2.28 % ------ Schedule dynamic 5 is on
% 7.03/2.28
% 7.03/2.28 % ------ no equalities: superposition off
% 7.03/2.28
% 7.03/2.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.03/2.28
% 7.03/2.28
% 7.03/2.28 % ------
% 7.03/2.28 % Current options:
% 7.03/2.28 % ------
% 7.03/2.28
% 7.03/2.28
% 7.03/2.28 %
% 7.03/2.28
% 7.03/2.28 % ------ Proving...
% 7.03/2.28 %
% 7.03/2.28
% 7.03/2.28 % SZS status Theorem for theBenchmark.p
% 7.03/2.28
% 7.03/2.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.03/2.29
% 7.03/2.29
%------------------------------------------------------------------------------