TSTP Solution File: SEU311+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU311+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 17:05:42 EDT 2023
% Result : Theorem 0.46s 1.15s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 76 ( 15 unt; 0 def)
% Number of atoms : 321 ( 3 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 400 ( 155 ~; 154 |; 67 &)
% ( 9 <=>; 13 =>; 0 <=; 2 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 150 ( 1 sgn; 71 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) )
=> ? [X2] :
( ! [X3] :
( element(X3,powerset(the_carrier(X0)))
=> ( in(X3,X2)
<=> in(set_difference(cast_as_carrier_subset(X0),X3),X1) ) )
& element(X2,powerset(powerset(the_carrier(X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_subset_1__e2_37_1_1__pre_topc) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) )
=> ? [X2] :
( ! [X3] :
( element(X3,powerset(the_carrier(X0)))
=> ( in(X3,X2)
<=> in(set_difference(cast_as_carrier_subset(X0),X3),X1) ) )
& element(X2,powerset(powerset(the_carrier(X0)))) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f36,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f37,axiom,
! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e2_37_1_1__pre_topc__1) ).
fof(f38,axiom,
! [X0,X1] :
( ( empty(X0)
=> ( element(X1,X0)
<=> empty(X1) ) )
& ( ~ empty(X0)
=> ( element(X1,X0)
<=> in(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f42,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l71_subset_1) ).
fof(f65,plain,
? [X0,X1] :
( ! [X2] :
( ? [X3] :
( ( in(X3,X2)
<~> in(set_difference(cast_as_carrier_subset(X0),X3),X1) )
& element(X3,powerset(the_carrier(X0))) )
| ~ element(X2,powerset(powerset(the_carrier(X0)))) )
& element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f66,plain,
? [X0,X1] :
( ! [X2] :
( ? [X3] :
( ( in(X3,X2)
<~> in(set_difference(cast_as_carrier_subset(X0),X3),X1) )
& element(X3,powerset(the_carrier(X0))) )
| ~ element(X2,powerset(powerset(the_carrier(X0)))) )
& element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) ),
inference(flattening,[],[f65]) ).
fof(f88,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f89,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f88]) ).
fof(f90,plain,
! [X0,X1] :
( ( ( element(X1,X0)
<=> empty(X1) )
| ~ empty(X0) )
& ( ( element(X1,X0)
<=> in(X1,X0) )
| empty(X0) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f91,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f95,plain,
? [X0,X1] :
( ! [X2] :
( ? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,X2) )
& ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| in(X3,X2) )
& element(X3,powerset(the_carrier(X0))) )
| ~ element(X2,powerset(powerset(the_carrier(X0)))) )
& element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) ),
inference(nnf_transformation,[],[f66]) ).
fof(f96,plain,
? [X0,X1] :
( ! [X2] :
( ? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,X2) )
& ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| in(X3,X2) )
& element(X3,powerset(the_carrier(X0))) )
| ~ element(X2,powerset(powerset(the_carrier(X0)))) )
& element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
( ? [X0,X1] :
( ! [X2] :
( ? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,X2) )
& ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| in(X3,X2) )
& element(X3,powerset(the_carrier(X0))) )
| ~ element(X2,powerset(powerset(the_carrier(X0)))) )
& element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) )
=> ( ! [X2] :
( ? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(sK0),X3),sK1)
| ~ in(X3,X2) )
& ( in(set_difference(cast_as_carrier_subset(sK0),X3),sK1)
| in(X3,X2) )
& element(X3,powerset(the_carrier(sK0))) )
| ~ element(X2,powerset(powerset(the_carrier(sK0)))) )
& element(sK1,powerset(powerset(the_carrier(sK0))))
& top_str(sK0)
& topological_space(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X2] :
( ? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(sK0),X3),sK1)
| ~ in(X3,X2) )
& ( in(set_difference(cast_as_carrier_subset(sK0),X3),sK1)
| in(X3,X2) )
& element(X3,powerset(the_carrier(sK0))) )
=> ( ( ~ in(set_difference(cast_as_carrier_subset(sK0),sK2(X2)),sK1)
| ~ in(sK2(X2),X2) )
& ( in(set_difference(cast_as_carrier_subset(sK0),sK2(X2)),sK1)
| in(sK2(X2),X2) )
& element(sK2(X2),powerset(the_carrier(sK0))) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
( ! [X2] :
( ( ( ~ in(set_difference(cast_as_carrier_subset(sK0),sK2(X2)),sK1)
| ~ in(sK2(X2),X2) )
& ( in(set_difference(cast_as_carrier_subset(sK0),sK2(X2)),sK1)
| in(sK2(X2),X2) )
& element(sK2(X2),powerset(the_carrier(sK0))) )
| ~ element(X2,powerset(powerset(the_carrier(sK0)))) )
& element(sK1,powerset(powerset(the_carrier(sK0))))
& top_str(sK0)
& topological_space(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f96,f98,f97]) ).
fof(f108,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,powerset(the_carrier(X0))) )
& ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) )
| ~ in(X3,X2) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(nnf_transformation,[],[f89]) ).
fof(f109,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,powerset(the_carrier(X0))) )
& ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) )
| ~ in(X3,X2) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,powerset(the_carrier(X0))) )
& ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) )
| ~ in(X3,X2) ) )
=> ! [X3] :
( ( in(X3,sK7(X0,X1))
| ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,powerset(the_carrier(X0))) )
& ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) )
| ~ in(X3,sK7(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
! [X0,X1] :
( ! [X3] :
( ( in(X3,sK7(X0,X1))
| ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,powerset(the_carrier(X0))) )
& ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) )
| ~ in(X3,sK7(X0,X1)) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f109,f110]) ).
fof(f112,plain,
! [X0,X1] :
( ( ( ( element(X1,X0)
| ~ empty(X1) )
& ( empty(X1)
| ~ element(X1,X0) ) )
| ~ empty(X0) )
& ( ( ( element(X1,X0)
| ~ in(X1,X0) )
& ( in(X1,X0)
| ~ element(X1,X0) ) )
| empty(X0) ) ),
inference(nnf_transformation,[],[f90]) ).
fof(f115,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK9(X0,X1),X1)
& in(sK9(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ( ~ in(sK9(X0,X1),X1)
& in(sK9(X0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f91,f115]) ).
fof(f121,plain,
topological_space(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f122,plain,
top_str(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f123,plain,
element(sK1,powerset(powerset(the_carrier(sK0)))),
inference(cnf_transformation,[],[f99]) ).
fof(f124,plain,
! [X2] :
( element(sK2(X2),powerset(the_carrier(sK0)))
| ~ element(X2,powerset(powerset(the_carrier(sK0)))) ),
inference(cnf_transformation,[],[f99]) ).
fof(f125,plain,
! [X2] :
( in(set_difference(cast_as_carrier_subset(sK0),sK2(X2)),sK1)
| in(sK2(X2),X2)
| ~ element(X2,powerset(powerset(the_carrier(sK0)))) ),
inference(cnf_transformation,[],[f99]) ).
fof(f126,plain,
! [X2] :
( ~ in(set_difference(cast_as_carrier_subset(sK0),sK2(X2)),sK1)
| ~ in(sK2(X2),X2)
| ~ element(X2,powerset(powerset(the_carrier(sK0)))) ),
inference(cnf_transformation,[],[f99]) ).
fof(f180,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f36]) ).
fof(f181,plain,
! [X3,X0,X1] :
( in(X3,powerset(the_carrier(X0)))
| ~ in(X3,sK7(X0,X1))
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f182,plain,
! [X3,X0,X1] :
( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,sK7(X0,X1))
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f183,plain,
! [X3,X0,X1] :
( in(X3,sK7(X0,X1))
| ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,powerset(the_carrier(X0)))
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f184,plain,
! [X0,X1] :
( in(X1,X0)
| ~ element(X1,X0)
| empty(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f190,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| in(sK9(X0,X1),X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f191,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ in(sK9(X0,X1),X1) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_49,negated_conjecture,
( ~ in(set_difference(cast_as_carrier_subset(sK0),sK2(X0)),sK1)
| ~ element(X0,powerset(powerset(the_carrier(sK0))))
| ~ in(sK2(X0),X0) ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_50,negated_conjecture,
( ~ element(X0,powerset(powerset(the_carrier(sK0))))
| in(set_difference(cast_as_carrier_subset(sK0),sK2(X0)),sK1)
| in(sK2(X0),X0) ),
inference(cnf_transformation,[],[f125]) ).
cnf(c_51,negated_conjecture,
( ~ element(X0,powerset(powerset(the_carrier(sK0))))
| element(sK2(X0),powerset(the_carrier(sK0))) ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_52,negated_conjecture,
element(sK1,powerset(powerset(the_carrier(sK0)))),
inference(cnf_transformation,[],[f123]) ).
cnf(c_53,negated_conjecture,
top_str(sK0),
inference(cnf_transformation,[],[f122]) ).
cnf(c_54,negated_conjecture,
topological_space(sK0),
inference(cnf_transformation,[],[f121]) ).
cnf(c_108,plain,
~ empty(powerset(X0)),
inference(cnf_transformation,[],[f180]) ).
cnf(c_109,plain,
( ~ in(set_difference(cast_as_carrier_subset(X0),X1),X2)
| ~ element(X2,powerset(powerset(the_carrier(X0))))
| ~ in(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0)
| in(X1,sK7(X0,X2)) ),
inference(cnf_transformation,[],[f183]) ).
cnf(c_110,plain,
( ~ element(X0,powerset(powerset(the_carrier(X1))))
| ~ in(X2,sK7(X1,X0))
| ~ top_str(X1)
| ~ topological_space(X1)
| in(set_difference(cast_as_carrier_subset(X1),X2),X0) ),
inference(cnf_transformation,[],[f182]) ).
cnf(c_111,plain,
( ~ element(X0,powerset(powerset(the_carrier(X1))))
| ~ in(X2,sK7(X1,X0))
| ~ top_str(X1)
| ~ topological_space(X1)
| in(X2,powerset(the_carrier(X1))) ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_115,plain,
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f184]) ).
cnf(c_118,plain,
( ~ in(sK9(X0,X1),X1)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f191]) ).
cnf(c_119,plain,
( in(sK9(X0,X1),X0)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f190]) ).
cnf(c_846,plain,
( X0 != sK0
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ in(X2,sK7(X0,X1))
| ~ top_str(X0)
| in(X2,powerset(the_carrier(X0))) ),
inference(resolution_lifted,[status(thm)],[c_54,c_111]) ).
cnf(c_847,plain,
( ~ element(X0,powerset(powerset(the_carrier(sK0))))
| ~ in(X1,sK7(sK0,X0))
| ~ top_str(sK0)
| in(X1,powerset(the_carrier(sK0))) ),
inference(unflattening,[status(thm)],[c_846]) ).
cnf(c_849,plain,
( ~ in(X1,sK7(sK0,X0))
| ~ element(X0,powerset(powerset(the_carrier(sK0))))
| in(X1,powerset(the_carrier(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_847,c_53,c_847]) ).
cnf(c_850,plain,
( ~ element(X0,powerset(powerset(the_carrier(sK0))))
| ~ in(X1,sK7(sK0,X0))
| in(X1,powerset(the_carrier(sK0))) ),
inference(renaming,[status(thm)],[c_849]) ).
cnf(c_861,plain,
( X0 != sK0
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ in(X2,sK7(X0,X1))
| ~ top_str(X0)
| in(set_difference(cast_as_carrier_subset(X0),X2),X1) ),
inference(resolution_lifted,[status(thm)],[c_54,c_110]) ).
cnf(c_862,plain,
( ~ element(X0,powerset(powerset(the_carrier(sK0))))
| ~ in(X1,sK7(sK0,X0))
| ~ top_str(sK0)
| in(set_difference(cast_as_carrier_subset(sK0),X1),X0) ),
inference(unflattening,[status(thm)],[c_861]) ).
cnf(c_864,plain,
( ~ in(X1,sK7(sK0,X0))
| ~ element(X0,powerset(powerset(the_carrier(sK0))))
| in(set_difference(cast_as_carrier_subset(sK0),X1),X0) ),
inference(global_subsumption_just,[status(thm)],[c_862,c_53,c_862]) ).
cnf(c_865,plain,
( ~ element(X0,powerset(powerset(the_carrier(sK0))))
| ~ in(X1,sK7(sK0,X0))
| in(set_difference(cast_as_carrier_subset(sK0),X1),X0) ),
inference(renaming,[status(thm)],[c_864]) ).
cnf(c_876,plain,
( X0 != sK0
| ~ in(set_difference(cast_as_carrier_subset(X0),X1),X2)
| ~ element(X2,powerset(powerset(the_carrier(X0))))
| ~ in(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| in(X1,sK7(X0,X2)) ),
inference(resolution_lifted,[status(thm)],[c_54,c_109]) ).
cnf(c_877,plain,
( ~ in(set_difference(cast_as_carrier_subset(sK0),X0),X1)
| ~ element(X1,powerset(powerset(the_carrier(sK0))))
| ~ in(X0,powerset(the_carrier(sK0)))
| ~ top_str(sK0)
| in(X0,sK7(sK0,X1)) ),
inference(unflattening,[status(thm)],[c_876]) ).
cnf(c_879,plain,
( ~ in(X0,powerset(the_carrier(sK0)))
| ~ element(X1,powerset(powerset(the_carrier(sK0))))
| ~ in(set_difference(cast_as_carrier_subset(sK0),X0),X1)
| in(X0,sK7(sK0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_877,c_53,c_877]) ).
cnf(c_880,plain,
( ~ in(set_difference(cast_as_carrier_subset(sK0),X0),X1)
| ~ element(X1,powerset(powerset(the_carrier(sK0))))
| ~ in(X0,powerset(the_carrier(sK0)))
| in(X0,sK7(sK0,X1)) ),
inference(renaming,[status(thm)],[c_879]) ).
cnf(c_1518,plain,
( ~ in(X0,sK7(sK0,sK1))
| in(X0,powerset(the_carrier(sK0))) ),
inference(superposition,[status(thm)],[c_52,c_850]) ).
cnf(c_1546,plain,
( ~ in(X0,sK7(sK0,sK1))
| in(set_difference(cast_as_carrier_subset(sK0),X0),sK1) ),
inference(superposition,[status(thm)],[c_52,c_865]) ).
cnf(c_1562,plain,
( ~ in(sK2(X0),sK7(sK0,sK1))
| ~ element(X0,powerset(powerset(the_carrier(sK0))))
| ~ in(sK2(X0),X0) ),
inference(superposition,[status(thm)],[c_1546,c_49]) ).
cnf(c_1594,plain,
( ~ in(set_difference(cast_as_carrier_subset(sK0),X0),sK1)
| ~ in(X0,powerset(the_carrier(sK0)))
| in(X0,sK7(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_52,c_880]) ).
cnf(c_1615,plain,
( ~ in(sK2(X0),powerset(the_carrier(sK0)))
| ~ element(X0,powerset(powerset(the_carrier(sK0))))
| in(sK2(X0),sK7(sK0,sK1))
| in(sK2(X0),X0) ),
inference(superposition,[status(thm)],[c_50,c_1594]) ).
cnf(c_1971,plain,
( in(sK9(sK7(sK0,sK1),X0),powerset(the_carrier(sK0)))
| element(sK7(sK0,sK1),powerset(X0)) ),
inference(superposition,[status(thm)],[c_119,c_1518]) ).
cnf(c_2772,plain,
element(sK7(sK0,sK1),powerset(powerset(the_carrier(sK0)))),
inference(superposition,[status(thm)],[c_1971,c_118]) ).
cnf(c_2981,plain,
( ~ in(sK2(sK7(sK0,sK1)),powerset(the_carrier(sK0)))
| in(sK2(sK7(sK0,sK1)),sK7(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_2772,c_1615]) ).
cnf(c_2982,plain,
~ in(sK2(sK7(sK0,sK1)),sK7(sK0,sK1)),
inference(superposition,[status(thm)],[c_2772,c_1562]) ).
cnf(c_2985,plain,
element(sK2(sK7(sK0,sK1)),powerset(the_carrier(sK0))),
inference(superposition,[status(thm)],[c_2772,c_51]) ).
cnf(c_2994,plain,
~ in(sK2(sK7(sK0,sK1)),powerset(the_carrier(sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_2981,c_2982]) ).
cnf(c_3020,plain,
( in(sK2(sK7(sK0,sK1)),powerset(the_carrier(sK0)))
| empty(powerset(the_carrier(sK0))) ),
inference(superposition,[status(thm)],[c_2985,c_115]) ).
cnf(c_3022,plain,
in(sK2(sK7(sK0,sK1)),powerset(the_carrier(sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_3020,c_108]) ).
cnf(c_3023,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3022,c_2994]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU311+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 01:20:06 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.46/1.15 % SZS status Started for theBenchmark.p
% 0.46/1.15 % SZS status Theorem for theBenchmark.p
% 0.46/1.15
% 0.46/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.46/1.15
% 0.46/1.15 ------ iProver source info
% 0.46/1.15
% 0.46/1.15 git: date: 2023-05-31 18:12:56 +0000
% 0.46/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.46/1.15 git: non_committed_changes: false
% 0.46/1.15 git: last_make_outside_of_git: false
% 0.46/1.15
% 0.46/1.15 ------ Parsing...
% 0.46/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.46/1.15
% 0.46/1.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 50 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 8 0s sf_e pe_s pe_e
% 0.46/1.15
% 0.46/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.46/1.15
% 0.46/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.46/1.15 ------ Proving...
% 0.46/1.15 ------ Problem Properties
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 clauses 29
% 0.46/1.15 conjectures 4
% 0.46/1.15 EPR 12
% 0.46/1.15 Horn 25
% 0.46/1.15 unary 11
% 0.46/1.15 binary 9
% 0.46/1.15 lits 57
% 0.46/1.15 lits eq 2
% 0.46/1.15 fd_pure 0
% 0.46/1.15 fd_pseudo 0
% 0.46/1.15 fd_cond 1
% 0.46/1.15 fd_pseudo_cond 1
% 0.46/1.15 AC symbols 0
% 0.46/1.15
% 0.46/1.15 ------ Schedule dynamic 5 is on
% 0.46/1.15
% 0.46/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 ------
% 0.46/1.15 Current options:
% 0.46/1.15 ------
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 ------ Proving...
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 % SZS status Theorem for theBenchmark.p
% 0.46/1.15
% 0.46/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.15
% 0.46/1.15
%------------------------------------------------------------------------------