TSTP Solution File: ALG223+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG223+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 02:04:21 EDT 2024
% Result : Theorem 8.32s 1.60s
% Output : CNFRefutation 8.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 97 ( 17 unt; 0 def)
% Number of atoms : 414 ( 32 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 566 ( 249 ~; 222 |; 73 &)
% ( 2 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 222 ( 0 sgn 76 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( ( r1_closure3(X0,X1,X4,X3)
& r1_closure3(X0,X1,X3,X2) )
=> r1_closure3(X0,X1,X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_closure3) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( ( r1_closure3(X0,X1,X4,X3)
& r1_closure3(X0,X1,X3,X2) )
=> r1_closure3(X0,X1,X4,X2) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f9,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( r1_closure3(X0,X1,X2,X3)
<=> ! [X4] :
~ ( ! [X5] :
~ ( r1_tarski(X4,X5)
& r2_hidden(X5,X2) )
& r2_hidden(X4,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_closure3) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X1,X2)
& r1_tarski(X0,X1) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f56,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(X0,X1,X4,X2)
& r1_closure3(X0,X1,X4,X3)
& r1_closure3(X0,X1,X3,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f57,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(X0,X1,X4,X2)
& r1_closure3(X0,X1,X4,X3)
& r1_closure3(X0,X1,X3,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_pboole(X1,X0) ),
inference(flattening,[],[f56]) ).
fof(f64,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( r1_closure3(X0,X1,X2,X3)
<=> ! [X4] :
( ? [X5] :
( r1_tarski(X4,X5)
& r2_hidden(X5,X2) )
| ~ r2_hidden(X4,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f75,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f76,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(flattening,[],[f75]) ).
fof(f85,plain,
( ? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(X0,X1,X4,X2)
& r1_closure3(X0,X1,X4,X3)
& r1_closure3(X0,X1,X3,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_pboole(X1,X0) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(sK0,sK1,X4,X2)
& r1_closure3(sK0,sK1,X4,X3)
& r1_closure3(sK0,sK1,X3,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
& m1_pboole(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(sK0,sK1,X4,X2)
& r1_closure3(sK0,sK1,X4,X3)
& r1_closure3(sK0,sK1,X3,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
=> ( ? [X3] :
( ? [X4] :
( ~ r1_closure3(sK0,sK1,X4,sK2)
& r1_closure3(sK0,sK1,X4,X3)
& r1_closure3(sK0,sK1,X3,sK2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
& m1_subset_1(sK2,k1_zfmisc_1(k1_closure2(sK0,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(sK0,sK1,X4,sK2)
& r1_closure3(sK0,sK1,X4,X3)
& r1_closure3(sK0,sK1,X3,sK2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
=> ( ? [X4] :
( ~ r1_closure3(sK0,sK1,X4,sK2)
& r1_closure3(sK0,sK1,X4,sK3)
& r1_closure3(sK0,sK1,sK3,sK2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
& m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
( ? [X4] :
( ~ r1_closure3(sK0,sK1,X4,sK2)
& r1_closure3(sK0,sK1,X4,sK3)
& r1_closure3(sK0,sK1,sK3,sK2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
=> ( ~ r1_closure3(sK0,sK1,sK4,sK2)
& r1_closure3(sK0,sK1,sK4,sK3)
& r1_closure3(sK0,sK1,sK3,sK2)
& m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
( ~ r1_closure3(sK0,sK1,sK4,sK2)
& r1_closure3(sK0,sK1,sK4,sK3)
& r1_closure3(sK0,sK1,sK3,sK2)
& m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1)))
& m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1)))
& m1_subset_1(sK2,k1_zfmisc_1(k1_closure2(sK0,sK1)))
& m1_pboole(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f57,f88,f87,f86,f85]) ).
fof(f90,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r1_closure3(X0,X1,X2,X3)
| ? [X4] :
( ! [X5] :
( ~ r1_tarski(X4,X5)
| ~ r2_hidden(X5,X2) )
& r2_hidden(X4,X3) ) )
& ( ! [X4] :
( ? [X5] :
( r1_tarski(X4,X5)
& r2_hidden(X5,X2) )
| ~ r2_hidden(X4,X3) )
| ~ r1_closure3(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(nnf_transformation,[],[f64]) ).
fof(f91,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r1_closure3(X0,X1,X2,X3)
| ? [X4] :
( ! [X5] :
( ~ r1_tarski(X4,X5)
| ~ r2_hidden(X5,X2) )
& r2_hidden(X4,X3) ) )
& ( ! [X6] :
( ? [X7] :
( r1_tarski(X6,X7)
& r2_hidden(X7,X2) )
| ~ r2_hidden(X6,X3) )
| ~ r1_closure3(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(rectify,[],[f90]) ).
fof(f92,plain,
! [X2,X3] :
( ? [X4] :
( ! [X5] :
( ~ r1_tarski(X4,X5)
| ~ r2_hidden(X5,X2) )
& r2_hidden(X4,X3) )
=> ( ! [X5] :
( ~ r1_tarski(sK5(X2,X3),X5)
| ~ r2_hidden(X5,X2) )
& r2_hidden(sK5(X2,X3),X3) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X2,X6] :
( ? [X7] :
( r1_tarski(X6,X7)
& r2_hidden(X7,X2) )
=> ( r1_tarski(X6,sK6(X2,X6))
& r2_hidden(sK6(X2,X6),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r1_closure3(X0,X1,X2,X3)
| ( ! [X5] :
( ~ r1_tarski(sK5(X2,X3),X5)
| ~ r2_hidden(X5,X2) )
& r2_hidden(sK5(X2,X3),X3) ) )
& ( ! [X6] :
( ( r1_tarski(X6,sK6(X2,X6))
& r2_hidden(sK6(X2,X6),X2) )
| ~ r2_hidden(X6,X3) )
| ~ r1_closure3(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f91,f93,f92]) ).
fof(f126,plain,
m1_pboole(sK1,sK0),
inference(cnf_transformation,[],[f89]) ).
fof(f127,plain,
m1_subset_1(sK2,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f89]) ).
fof(f128,plain,
m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f89]) ).
fof(f129,plain,
m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f89]) ).
fof(f130,plain,
r1_closure3(sK0,sK1,sK3,sK2),
inference(cnf_transformation,[],[f89]) ).
fof(f131,plain,
r1_closure3(sK0,sK1,sK4,sK3),
inference(cnf_transformation,[],[f89]) ).
fof(f132,plain,
~ r1_closure3(sK0,sK1,sK4,sK2),
inference(cnf_transformation,[],[f89]) ).
fof(f139,plain,
! [X2,X3,X0,X1,X6] :
( r2_hidden(sK6(X2,X6),X2)
| ~ r2_hidden(X6,X3)
| ~ r1_closure3(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f140,plain,
! [X2,X3,X0,X1,X6] :
( r1_tarski(X6,sK6(X2,X6))
| ~ r2_hidden(X6,X3)
| ~ r1_closure3(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f141,plain,
! [X2,X3,X0,X1] :
( r1_closure3(X0,X1,X2,X3)
| r2_hidden(sK5(X2,X3),X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f142,plain,
! [X2,X3,X0,X1,X5] :
( r1_closure3(X0,X1,X2,X3)
| ~ r1_tarski(sK5(X2,X3),X5)
| ~ r2_hidden(X5,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f185,plain,
! [X2,X0,X1] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_49,negated_conjecture,
~ r1_closure3(sK0,sK1,sK4,sK2),
inference(cnf_transformation,[],[f132]) ).
cnf(c_50,negated_conjecture,
r1_closure3(sK0,sK1,sK4,sK3),
inference(cnf_transformation,[],[f131]) ).
cnf(c_51,negated_conjecture,
r1_closure3(sK0,sK1,sK3,sK2),
inference(cnf_transformation,[],[f130]) ).
cnf(c_52,negated_conjecture,
m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f129]) ).
cnf(c_53,negated_conjecture,
m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f128]) ).
cnf(c_54,negated_conjecture,
m1_subset_1(sK2,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f127]) ).
cnf(c_55,negated_conjecture,
m1_pboole(sK1,sK0),
inference(cnf_transformation,[],[f126]) ).
cnf(c_60,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r1_tarski(sK5(X0,X3),X4)
| ~ m1_pboole(X2,X1)
| ~ r2_hidden(X4,X0)
| r1_closure3(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_61,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_pboole(X2,X1)
| r1_closure3(X1,X2,X0,X3)
| r2_hidden(sK5(X0,X3),X3) ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_62,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r1_closure3(X1,X2,X0,X3)
| ~ m1_pboole(X2,X1)
| ~ r2_hidden(X4,X3)
| r1_tarski(X4,sK6(X0,X4)) ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_63,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r1_closure3(X1,X2,X0,X3)
| ~ m1_pboole(X2,X1)
| ~ r2_hidden(X4,X3)
| r2_hidden(sK6(X0,X4),X0) ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_106,plain,
( ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X0)
| r1_tarski(X2,X1) ),
inference(cnf_transformation,[],[f185]) ).
cnf(c_629,plain,
( X0 != sK0
| X1 != sK1
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r1_closure3(X0,X1,X2,X3)
| ~ r2_hidden(X4,X3)
| r2_hidden(sK6(X2,X4),X2) ),
inference(resolution_lifted,[status(thm)],[c_55,c_63]) ).
cnf(c_630,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_closure3(sK0,sK1,X0,X1)
| ~ r2_hidden(X2,X1)
| r2_hidden(sK6(X0,X2),X0) ),
inference(unflattening,[status(thm)],[c_629]) ).
cnf(c_646,plain,
( X0 != sK0
| X1 != sK1
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r1_closure3(X0,X1,X2,X3)
| ~ r2_hidden(X4,X3)
| r1_tarski(X4,sK6(X2,X4)) ),
inference(resolution_lifted,[status(thm)],[c_55,c_62]) ).
cnf(c_647,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_closure3(sK0,sK1,X0,X1)
| ~ r2_hidden(X2,X1)
| r1_tarski(X2,sK6(X0,X2)) ),
inference(unflattening,[status(thm)],[c_646]) ).
cnf(c_663,plain,
( X0 != sK0
| X1 != sK1
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| r1_closure3(X0,X1,X2,X3)
| r2_hidden(sK5(X2,X3),X3) ),
inference(resolution_lifted,[status(thm)],[c_55,c_61]) ).
cnf(c_664,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| r2_hidden(sK5(X0,X1),X1)
| r1_closure3(sK0,sK1,X0,X1) ),
inference(unflattening,[status(thm)],[c_663]) ).
cnf(c_677,plain,
( X0 != sK0
| X1 != sK1
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r1_tarski(sK5(X2,X3),X4)
| ~ r2_hidden(X4,X2)
| r1_closure3(X0,X1,X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_55,c_60]) ).
cnf(c_678,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_tarski(sK5(X0,X1),X2)
| ~ r2_hidden(X2,X0)
| r1_closure3(sK0,sK1,X0,X1) ),
inference(unflattening,[status(thm)],[c_677]) ).
cnf(c_1051,plain,
( X0 != sK4
| X1 != sK2
| sK0 != sK0
| sK1 != sK1
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_tarski(sK5(X0,X1),X2)
| ~ r2_hidden(X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_49,c_678]) ).
cnf(c_1052,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_tarski(sK5(sK4,sK2),X0)
| ~ r2_hidden(X0,sK4) ),
inference(unflattening,[status(thm)],[c_1051]) ).
cnf(c_1054,plain,
( ~ r1_tarski(sK5(sK4,sK2),X0)
| ~ r2_hidden(X0,sK4) ),
inference(global_subsumption_just,[status(thm)],[c_1052,c_54,c_52,c_1052]) ).
cnf(c_1063,plain,
( X0 != sK4
| X1 != sK2
| sK0 != sK0
| sK1 != sK1
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| r2_hidden(sK5(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_49,c_664]) ).
cnf(c_1064,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| r2_hidden(sK5(sK4,sK2),sK2) ),
inference(unflattening,[status(thm)],[c_1063]) ).
cnf(c_1089,plain,
( X0 != sK4
| X1 != sK3
| sK0 != sK0
| sK1 != sK1
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X2,X1)
| r1_tarski(X2,sK6(X0,X2)) ),
inference(resolution_lifted,[status(thm)],[c_50,c_647]) ).
cnf(c_1090,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X0,sK3)
| r1_tarski(X0,sK6(sK4,X0)) ),
inference(unflattening,[status(thm)],[c_1089]) ).
cnf(c_1092,plain,
( ~ r2_hidden(X0,sK3)
| r1_tarski(X0,sK6(sK4,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_1090,c_53,c_52,c_1090]) ).
cnf(c_1101,plain,
( X0 != sK4
| X1 != sK3
| sK0 != sK0
| sK1 != sK1
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X2,X1)
| r2_hidden(sK6(X0,X2),X0) ),
inference(resolution_lifted,[status(thm)],[c_50,c_630]) ).
cnf(c_1102,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X0,sK3)
| r2_hidden(sK6(sK4,X0),sK4) ),
inference(unflattening,[status(thm)],[c_1101]) ).
cnf(c_1104,plain,
( ~ r2_hidden(X0,sK3)
| r2_hidden(sK6(sK4,X0),sK4) ),
inference(global_subsumption_just,[status(thm)],[c_1102,c_53,c_52,c_1102]) ).
cnf(c_1117,plain,
( X0 != sK2
| X1 != sK3
| sK0 != sK0
| sK1 != sK1
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X2,X0)
| r1_tarski(X2,sK6(X1,X2)) ),
inference(resolution_lifted,[status(thm)],[c_51,c_647]) ).
cnf(c_1118,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X0,sK2)
| r1_tarski(X0,sK6(sK3,X0)) ),
inference(unflattening,[status(thm)],[c_1117]) ).
cnf(c_1120,plain,
( ~ r2_hidden(X0,sK2)
| r1_tarski(X0,sK6(sK3,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_1118,c_54,c_53,c_1118]) ).
cnf(c_1129,plain,
( X0 != sK2
| X1 != sK3
| sK0 != sK0
| sK1 != sK1
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X2,X0)
| r2_hidden(sK6(X1,X2),X1) ),
inference(resolution_lifted,[status(thm)],[c_51,c_630]) ).
cnf(c_1130,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X0,sK2)
| r2_hidden(sK6(sK3,X0),sK3) ),
inference(unflattening,[status(thm)],[c_1129]) ).
cnf(c_1132,plain,
( ~ r2_hidden(X0,sK2)
| r2_hidden(sK6(sK3,X0),sK3) ),
inference(global_subsumption_just,[status(thm)],[c_1130,c_54,c_53,c_1130]) ).
cnf(c_7127,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_closure3(sK0,sK1,sK4,X0)
| ~ r2_hidden(X1,X0)
| r1_tarski(X1,sK6(sK4,X1)) ),
inference(superposition,[status(thm)],[c_52,c_647]) ).
cnf(c_7138,plain,
( ~ r1_closure3(sK0,sK1,sK4,sK3)
| ~ r2_hidden(X0,sK3)
| r1_tarski(X0,sK6(sK4,X0)) ),
inference(superposition,[status(thm)],[c_53,c_7127]) ).
cnf(c_7149,plain,
( ~ r2_hidden(X0,sK3)
| r1_tarski(X0,sK6(sK4,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_7138,c_53,c_52,c_1090]) ).
cnf(c_7214,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_tarski(sK5(sK4,X0),X1)
| ~ r2_hidden(X1,sK4)
| r1_closure3(sK0,sK1,sK4,X0) ),
inference(superposition,[status(thm)],[c_52,c_678]) ).
cnf(c_7227,plain,
( ~ r1_tarski(sK5(sK4,sK2),X0)
| ~ r2_hidden(X0,sK4)
| r1_closure3(sK0,sK1,sK4,sK2) ),
inference(superposition,[status(thm)],[c_54,c_7214]) ).
cnf(c_7236,plain,
( ~ r2_hidden(X0,sK4)
| ~ r1_tarski(sK5(sK4,sK2),X0) ),
inference(global_subsumption_just,[status(thm)],[c_7227,c_1054]) ).
cnf(c_7237,plain,
( ~ r1_tarski(sK5(sK4,sK2),X0)
| ~ r2_hidden(X0,sK4) ),
inference(renaming,[status(thm)],[c_7236]) ).
cnf(c_7273,plain,
( ~ r1_tarski(X0,X1)
| ~ r2_hidden(X1,sK3)
| r1_tarski(X0,sK6(sK4,X1)) ),
inference(superposition,[status(thm)],[c_7149,c_106]) ).
cnf(c_8308,plain,
( ~ r2_hidden(sK6(sK4,X0),sK4)
| ~ r1_tarski(sK5(sK4,sK2),X0)
| ~ r2_hidden(X0,sK3) ),
inference(superposition,[status(thm)],[c_7273,c_7237]) ).
cnf(c_11772,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_closure3(sK0,sK1,sK3,X0)
| ~ r2_hidden(X1,X0)
| r2_hidden(sK6(sK3,X1),sK3) ),
inference(superposition,[status(thm)],[c_53,c_630]) ).
cnf(c_11791,plain,
( ~ r1_closure3(sK0,sK1,sK3,sK2)
| ~ r2_hidden(X0,sK2)
| r2_hidden(sK6(sK3,X0),sK3) ),
inference(superposition,[status(thm)],[c_54,c_11772]) ).
cnf(c_11823,plain,
( ~ r2_hidden(X0,sK2)
| r2_hidden(sK6(sK3,X0),sK3) ),
inference(global_subsumption_just,[status(thm)],[c_11791,c_1132]) ).
cnf(c_11839,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_closure3(sK0,sK1,sK4,X0)
| ~ r2_hidden(X1,X0)
| r1_tarski(X1,sK6(sK4,X1)) ),
inference(superposition,[status(thm)],[c_52,c_647]) ).
cnf(c_11840,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_closure3(sK0,sK1,sK3,X0)
| ~ r2_hidden(X1,X0)
| r1_tarski(X1,sK6(sK3,X1)) ),
inference(superposition,[status(thm)],[c_53,c_647]) ).
cnf(c_11850,plain,
( ~ r1_closure3(sK0,sK1,sK4,sK3)
| ~ r2_hidden(X0,sK3)
| r1_tarski(X0,sK6(sK4,X0)) ),
inference(superposition,[status(thm)],[c_53,c_11839]) ).
cnf(c_11889,plain,
( ~ r2_hidden(X0,sK3)
| r1_tarski(X0,sK6(sK4,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_11850,c_1092]) ).
cnf(c_11893,plain,
( ~ r1_closure3(sK0,sK1,sK3,sK2)
| ~ r2_hidden(X0,sK2)
| r1_tarski(X0,sK6(sK3,X0)) ),
inference(superposition,[status(thm)],[c_54,c_11840]) ).
cnf(c_11904,plain,
( ~ r2_hidden(X0,sK2)
| r1_tarski(X0,sK6(sK3,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_11893,c_1120]) ).
cnf(c_11981,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_tarski(sK5(sK4,X0),X1)
| ~ r2_hidden(X1,sK4)
| r1_closure3(sK0,sK1,sK4,X0) ),
inference(superposition,[status(thm)],[c_52,c_678]) ).
cnf(c_11996,plain,
( ~ r1_tarski(X0,X1)
| ~ r2_hidden(X1,sK3)
| r1_tarski(X0,sK6(sK4,X1)) ),
inference(superposition,[status(thm)],[c_11889,c_106]) ).
cnf(c_12014,plain,
( ~ r1_tarski(sK5(sK4,sK2),X0)
| ~ r2_hidden(X0,sK4)
| r1_closure3(sK0,sK1,sK4,sK2) ),
inference(superposition,[status(thm)],[c_54,c_11981]) ).
cnf(c_12023,plain,
( ~ r2_hidden(X0,sK4)
| ~ r1_tarski(sK5(sK4,sK2),X0) ),
inference(global_subsumption_just,[status(thm)],[c_12014,c_1054]) ).
cnf(c_12024,plain,
( ~ r1_tarski(sK5(sK4,sK2),X0)
| ~ r2_hidden(X0,sK4) ),
inference(renaming,[status(thm)],[c_12023]) ).
cnf(c_12311,plain,
( ~ r2_hidden(sK6(sK4,X0),sK4)
| ~ r1_tarski(sK5(sK4,sK2),X0)
| ~ r2_hidden(X0,sK3) ),
inference(superposition,[status(thm)],[c_11996,c_12024]) ).
cnf(c_13223,plain,
( ~ r1_tarski(sK5(sK4,sK2),X0)
| ~ r2_hidden(X0,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_12311,c_1104,c_8308]) ).
cnf(c_13234,plain,
( ~ r2_hidden(sK6(sK3,sK5(sK4,sK2)),sK3)
| ~ r2_hidden(sK5(sK4,sK2),sK2) ),
inference(superposition,[status(thm)],[c_11904,c_13223]) ).
cnf(c_13252,plain,
~ r2_hidden(sK6(sK3,sK5(sK4,sK2)),sK3),
inference(global_subsumption_just,[status(thm)],[c_13234,c_54,c_52,c_1064,c_13234]) ).
cnf(c_13257,plain,
~ r2_hidden(sK5(sK4,sK2),sK2),
inference(superposition,[status(thm)],[c_11823,c_13252]) ).
cnf(c_13259,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_13257,c_1064,c_52,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG223+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 22:35:05 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.32/1.60 % SZS status Started for theBenchmark.p
% 8.32/1.60 % SZS status Theorem for theBenchmark.p
% 8.32/1.60
% 8.32/1.60 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.32/1.60
% 8.32/1.60 ------ iProver source info
% 8.32/1.60
% 8.32/1.60 git: date: 2024-05-02 19:28:25 +0000
% 8.32/1.60 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.32/1.60 git: non_committed_changes: false
% 8.32/1.60
% 8.32/1.60 ------ Parsing...
% 8.32/1.60 ------ Clausification by vclausify_rel & Parsing by iProver...
% 8.32/1.60
% 8.32/1.60 ------ Preprocessing... sup_sim: 0 sf_s rm: 24 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e
% 8.32/1.60
% 8.32/1.60 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.32/1.60
% 8.32/1.60 ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 8.32/1.60 ------ Proving...
% 8.32/1.60 ------ Problem Properties
% 8.32/1.60
% 8.32/1.60
% 8.32/1.60 clauses 56
% 8.32/1.60 conjectures 6
% 8.32/1.60 EPR 20
% 8.32/1.60 Horn 49
% 8.32/1.60 unary 27
% 8.32/1.60 binary 14
% 8.32/1.60 lits 114
% 8.32/1.60 lits eq 2
% 8.32/1.61 fd_pure 0
% 8.32/1.61 fd_pseudo 0
% 8.32/1.61 fd_cond 1
% 8.32/1.61 fd_pseudo_cond 1
% 8.32/1.61 AC symbols 0
% 8.32/1.61
% 8.32/1.61 ------ Input Options Time Limit: Unbounded
% 8.32/1.61
% 8.32/1.61
% 8.32/1.61 ------
% 8.32/1.61 Current options:
% 8.32/1.61 ------
% 8.32/1.61
% 8.32/1.61
% 8.32/1.61
% 8.32/1.61
% 8.32/1.61 ------ Proving...
% 8.32/1.61
% 8.32/1.61
% 8.32/1.61 % SZS status Theorem for theBenchmark.p
% 8.32/1.61
% 8.32/1.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.32/1.61
% 8.32/1.61
%------------------------------------------------------------------------------