TSTP Solution File: SEU439+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU439+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 17:07:22 EDT 2023
% Result : Theorem 11.75s 2.21s
% Output : CNFRefutation 11.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 83 ( 16 unt; 0 def)
% Number of atoms : 303 ( 40 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 370 ( 150 ~; 134 |; 56 &)
% ( 9 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-4 aty)
% Number of variables : 228 ( 4 sgn; 146 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( k1_xboole_0 != X2
=> r1_tarski(k8_relset_2(X0,X1,X2,X3),k9_relat_1(X3,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( k1_xboole_0 != X2
=> r1_tarski(k8_relset_2(X0,X1,X2,X3),k9_relat_1(X3,X2)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f6,axiom,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f7,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1,X2] :
( k9_relat_1(X0,X1) = X2
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(X4,X1)
& r2_hidden(k4_tarski(X4,X3),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f8,axiom,
! [X0] :
( k1_xboole_0 = X0
<=> ! [X1] : ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f9,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f11,axiom,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
=> ! [X5] :
( r2_hidden(X5,X3)
=> r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_relset_2) ).
fof(f61,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
<=> r2_hidden(k4_tarski(X1,X0),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_relset_2) ).
fof(f69,plain,
? [X0,X1,X2] :
( ? [X3] :
( ~ r1_tarski(k8_relset_2(X0,X1,X2,X3),k9_relat_1(X3,X2))
& k1_xboole_0 != X2
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f70,plain,
? [X0,X1,X2] :
( ? [X3] :
( ~ r1_tarski(k8_relset_2(X0,X1,X2,X3),k9_relat_1(X3,X2))
& k1_xboole_0 != X2
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f69]) ).
fof(f73,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f5]) ).
fof(f74,plain,
! [X0] :
( ! [X1,X2] :
( k9_relat_1(X0,X1) = X2
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(X4,X1)
& r2_hidden(k4_tarski(X4,X3),X0) ) ) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f75,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f93,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ! [X5] :
( r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X3) )
| ~ r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f53]) ).
fof(f94,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ! [X5] :
( r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X3) )
| ~ r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f93]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
<=> r2_hidden(k4_tarski(X1,X0),X2) )
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f61]) ).
fof(f104,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ~ r1_tarski(k8_relset_2(X0,X1,X2,X3),k9_relat_1(X3,X2))
& k1_xboole_0 != X2
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( ? [X3] :
( ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,X3),k9_relat_1(X3,sK2))
& k1_xboole_0 != sK2
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) )
& m1_subset_1(sK2,k1_zfmisc_1(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
( ? [X3] :
( ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,X3),k9_relat_1(X3,sK2))
& k1_xboole_0 != sK2
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) )
=> ( ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2))
& k1_xboole_0 != sK2
& m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2))
& k1_xboole_0 != sK2
& m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
& m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f70,f105,f104]) ).
fof(f107,plain,
! [X0] :
( ! [X1,X2] :
( ( k9_relat_1(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,X3),X0) )
| ~ r2_hidden(X3,X2) )
& ( ? [X4] :
( r2_hidden(X4,X1)
& r2_hidden(k4_tarski(X4,X3),X0) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,X3),X0) ) )
& ( ? [X4] :
( r2_hidden(X4,X1)
& r2_hidden(k4_tarski(X4,X3),X0) )
| ~ r2_hidden(X3,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(nnf_transformation,[],[f74]) ).
fof(f108,plain,
! [X0] :
( ! [X1,X2] :
( ( k9_relat_1(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,X3),X0) )
| ~ r2_hidden(X3,X2) )
& ( ? [X5] :
( r2_hidden(X5,X1)
& r2_hidden(k4_tarski(X5,X3),X0) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X6] :
( ( r2_hidden(X6,X2)
| ! [X7] :
( ~ r2_hidden(X7,X1)
| ~ r2_hidden(k4_tarski(X7,X6),X0) ) )
& ( ? [X8] :
( r2_hidden(X8,X1)
& r2_hidden(k4_tarski(X8,X6),X0) )
| ~ r2_hidden(X6,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(rectify,[],[f107]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,X3),X0) )
| ~ r2_hidden(X3,X2) )
& ( ? [X5] :
( r2_hidden(X5,X1)
& r2_hidden(k4_tarski(X5,X3),X0) )
| r2_hidden(X3,X2) ) )
=> ( ( ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,sK4(X0,X1,X2)),X0) )
| ~ r2_hidden(sK4(X0,X1,X2),X2) )
& ( ? [X5] :
( r2_hidden(X5,X1)
& r2_hidden(k4_tarski(X5,sK4(X0,X1,X2)),X0) )
| r2_hidden(sK4(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ? [X5] :
( r2_hidden(X5,X1)
& r2_hidden(k4_tarski(X5,sK4(X0,X1,X2)),X0) )
=> ( r2_hidden(sK5(X0,X1,X2),X1)
& r2_hidden(k4_tarski(sK5(X0,X1,X2),sK4(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
! [X0,X1,X6] :
( ? [X8] :
( r2_hidden(X8,X1)
& r2_hidden(k4_tarski(X8,X6),X0) )
=> ( r2_hidden(sK6(X0,X1,X6),X1)
& r2_hidden(k4_tarski(sK6(X0,X1,X6),X6),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0] :
( ! [X1,X2] :
( ( k9_relat_1(X0,X1) = X2
| ( ( ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,sK4(X0,X1,X2)),X0) )
| ~ r2_hidden(sK4(X0,X1,X2),X2) )
& ( ( r2_hidden(sK5(X0,X1,X2),X1)
& r2_hidden(k4_tarski(sK5(X0,X1,X2),sK4(X0,X1,X2)),X0) )
| r2_hidden(sK4(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( r2_hidden(X6,X2)
| ! [X7] :
( ~ r2_hidden(X7,X1)
| ~ r2_hidden(k4_tarski(X7,X6),X0) ) )
& ( ( r2_hidden(sK6(X0,X1,X6),X1)
& r2_hidden(k4_tarski(sK6(X0,X1,X6),X6),X0) )
| ~ r2_hidden(X6,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f108,f111,f110,f109]) ).
fof(f113,plain,
! [X0] :
( ( k1_xboole_0 = X0
| ? [X1] : r2_hidden(X1,X0) )
& ( ! [X1] : ~ r2_hidden(X1,X0)
| k1_xboole_0 != X0 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f114,plain,
! [X0] :
( ( k1_xboole_0 = X0
| ? [X1] : r2_hidden(X1,X0) )
& ( ! [X2] : ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ) ),
inference(rectify,[],[f113]) ).
fof(f115,plain,
! [X0] :
( ? [X1] : r2_hidden(X1,X0)
=> r2_hidden(sK7(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
! [X0] :
( ( k1_xboole_0 = X0
| r2_hidden(sK7(X0),X0) )
& ( ! [X2] : ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f114,f115]) ).
fof(f117,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f75]) ).
fof(f118,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f117]) ).
fof(f119,plain,
! [X0,X1] :
( ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) )
=> ( ~ r2_hidden(sK8(X0,X1),X1)
& r2_hidden(sK8(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK8(X0,X1),X1)
& r2_hidden(sK8(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f118,f119]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| ~ r2_hidden(k4_tarski(X1,X0),X2) )
& ( r2_hidden(k4_tarski(X1,X0),X2)
| ~ r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1))) ) )
| ~ v1_relat_1(X2) ),
inference(nnf_transformation,[],[f103]) ).
fof(f144,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f106]) ).
fof(f145,plain,
m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))),
inference(cnf_transformation,[],[f106]) ).
fof(f146,plain,
k1_xboole_0 != sK2,
inference(cnf_transformation,[],[f106]) ).
fof(f147,plain,
~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2)),
inference(cnf_transformation,[],[f106]) ).
fof(f150,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f73]) ).
fof(f151,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f154,plain,
! [X2,X0,X1,X6,X7] :
( r2_hidden(X6,X2)
| ~ r2_hidden(X7,X1)
| ~ r2_hidden(k4_tarski(X7,X6),X0)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f159,plain,
! [X0] :
( k1_xboole_0 = X0
| r2_hidden(sK7(X0),X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f161,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| r2_hidden(sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f162,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ r2_hidden(sK8(X0,X1),X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f164,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f11]) ).
fof(f204,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X3)
| ~ r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f213,plain,
! [X2,X0,X1] :
( r2_hidden(k4_tarski(X1,X0),X2)
| ~ r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f143]) ).
fof(f217,plain,
! [X2,X0,X1,X6,X7] :
( r2_hidden(X6,X2)
| ~ r2_hidden(X7,X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X6),k1_tarski(X7)),X0)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(definition_unfolding,[],[f154,f164]) ).
fof(f220,plain,
! [X2,X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(X1,X0),k1_tarski(X1)),X2)
| ~ r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| ~ v1_relat_1(X2) ),
inference(definition_unfolding,[],[f213,f164]) ).
fof(f221,plain,
! [X0,X1,X6,X7] :
( r2_hidden(X6,k9_relat_1(X0,X1))
| ~ r2_hidden(X7,X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X6),k1_tarski(X7)),X0)
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f217]) ).
cnf(c_49,negated_conjecture,
~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2)),
inference(cnf_transformation,[],[f147]) ).
cnf(c_50,negated_conjecture,
sK2 != k1_xboole_0,
inference(cnf_transformation,[],[f146]) ).
cnf(c_51,negated_conjecture,
m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))),
inference(cnf_transformation,[],[f145]) ).
cnf(c_52,negated_conjecture,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f144]) ).
cnf(c_55,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_56,plain,
k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f151]) ).
cnf(c_60,plain,
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),X2)
| ~ r2_hidden(X0,X3)
| ~ v1_relat_1(X2)
| r2_hidden(X1,k9_relat_1(X2,X3)) ),
inference(cnf_transformation,[],[f221]) ).
cnf(c_63,plain,
( X0 = k1_xboole_0
| r2_hidden(sK7(X0),X0) ),
inference(cnf_transformation,[],[f159]) ).
cnf(c_65,plain,
( ~ r2_hidden(sK8(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
cnf(c_66,plain,
( r2_hidden(sK8(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
cnf(c_108,plain,
( ~ r2_hidden(X0,k8_relset_2(X1,X2,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r2_hidden(X5,X3)
| r2_hidden(X0,k9_relat_1(X4,k1_tarski(X5))) ),
inference(cnf_transformation,[],[f204]) ).
cnf(c_118,plain,
( ~ r2_hidden(X0,k9_relat_1(X1,k1_tarski(X2)))
| ~ v1_relat_1(X1)
| r2_hidden(k2_tarski(k2_tarski(X2,X0),k1_tarski(X2)),X1) ),
inference(cnf_transformation,[],[f220]) ).
cnf(c_197,plain,
( ~ r2_hidden(sK8(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_65]) ).
cnf(c_201,plain,
( r1_tarski(X0,X1)
| r2_hidden(sK8(X0,X1),X0) ),
inference(prop_impl_just,[status(thm)],[c_66]) ).
cnf(c_202,plain,
( r2_hidden(sK8(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(renaming,[status(thm)],[c_201]) ).
cnf(c_612,plain,
( ~ r2_hidden(X0,k9_relat_1(X1,k1_tarski(X2)))
| ~ v1_relat_1(X1)
| r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X0)),X1) ),
inference(demodulation,[status(thm)],[c_118,c_56]) ).
cnf(c_614,plain,
( ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)),X2)
| ~ r2_hidden(X0,X3)
| ~ v1_relat_1(X2)
| r2_hidden(X1,k9_relat_1(X2,X3)) ),
inference(demodulation,[status(thm)],[c_60,c_56]) ).
cnf(c_822,plain,
( k8_relset_2(sK0,sK1,sK2,sK3) != X0
| k9_relat_1(sK3,sK2) != X1
| r2_hidden(sK8(X0,X1),X0) ),
inference(resolution_lifted,[status(thm)],[c_49,c_202]) ).
cnf(c_823,plain,
r2_hidden(sK8(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2)),k8_relset_2(sK0,sK1,sK2,sK3)),
inference(unflattening,[status(thm)],[c_822]) ).
cnf(c_827,plain,
( k8_relset_2(sK0,sK1,sK2,sK3) != X0
| k9_relat_1(sK3,sK2) != X1
| ~ r2_hidden(sK8(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_49,c_197]) ).
cnf(c_828,plain,
~ r2_hidden(sK8(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2)),k9_relat_1(sK3,sK2)),
inference(unflattening,[status(thm)],[c_827]) ).
cnf(c_2599,plain,
( sK2 = k1_xboole_0
| r2_hidden(sK7(sK2),sK2) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_2603,plain,
( ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,sK8(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2)))),sK3)
| ~ r2_hidden(X0,sK2)
| ~ v1_relat_1(sK3)
| r2_hidden(sK8(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2)),k9_relat_1(sK3,sK2)) ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_2725,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK3) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_3019,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| v1_relat_1(sK3) ),
inference(instantiation,[status(thm)],[c_2725]) ).
cnf(c_4174,plain,
( ~ r2_hidden(sK8(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2)),k8_relset_2(X0,X1,X2,X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(X4,X2)
| r2_hidden(sK8(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2)),k9_relat_1(X3,k1_tarski(X4))) ),
inference(instantiation,[status(thm)],[c_108]) ).
cnf(c_10270,plain,
( ~ r2_hidden(sK8(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2)),k8_relset_2(sK0,sK1,sK2,sK3))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ r2_hidden(X0,sK2)
| r2_hidden(sK8(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2)),k9_relat_1(sK3,k1_tarski(X0))) ),
inference(instantiation,[status(thm)],[c_4174]) ).
cnf(c_20137,plain,
( ~ r2_hidden(sK8(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2)),k8_relset_2(sK0,sK1,sK2,sK3))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ r2_hidden(sK7(sK2),sK2)
| r2_hidden(sK8(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2)),k9_relat_1(sK3,k1_tarski(sK7(sK2)))) ),
inference(instantiation,[status(thm)],[c_10270]) ).
cnf(c_27179,plain,
( ~ r2_hidden(sK8(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2)),k9_relat_1(sK3,k1_tarski(sK7(sK2))))
| ~ v1_relat_1(sK3)
| r2_hidden(k2_tarski(k1_tarski(sK7(sK2)),k2_tarski(sK7(sK2),sK8(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2)))),sK3) ),
inference(instantiation,[status(thm)],[c_612]) ).
cnf(c_31402,plain,
( ~ r2_hidden(k2_tarski(k1_tarski(sK7(sK2)),k2_tarski(sK7(sK2),sK8(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2)))),sK3)
| ~ r2_hidden(sK7(sK2),sK2)
| ~ v1_relat_1(sK3)
| r2_hidden(sK8(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2)),k9_relat_1(sK3,sK2)) ),
inference(instantiation,[status(thm)],[c_2603]) ).
cnf(c_31403,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_31402,c_27179,c_20137,c_3019,c_2599,c_828,c_823,c_51,c_50,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU439+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 19:41:35 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 11.75/2.21 % SZS status Started for theBenchmark.p
% 11.75/2.21 % SZS status Theorem for theBenchmark.p
% 11.75/2.21
% 11.75/2.21 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 11.75/2.21
% 11.75/2.21 ------ iProver source info
% 11.75/2.21
% 11.75/2.21 git: date: 2023-05-31 18:12:56 +0000
% 11.75/2.21 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 11.75/2.21 git: non_committed_changes: false
% 11.75/2.21 git: last_make_outside_of_git: false
% 11.75/2.21
% 11.75/2.21 ------ Parsing...
% 11.75/2.21 ------ Clausification by vclausify_rel & Parsing by iProver...
% 11.75/2.21
% 11.75/2.21 ------ Preprocessing... sup_sim: 6 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 11.75/2.21
% 11.75/2.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 11.75/2.21
% 11.75/2.21 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 11.75/2.21 ------ Proving...
% 11.75/2.21 ------ Problem Properties
% 11.75/2.21
% 11.75/2.21
% 11.75/2.21 clauses 64
% 11.75/2.21 conjectures 4
% 11.75/2.21 EPR 20
% 11.75/2.21 Horn 57
% 11.75/2.21 unary 27
% 11.75/2.21 binary 19
% 11.75/2.21 lits 126
% 11.75/2.21 lits eq 12
% 11.75/2.21 fd_pure 0
% 11.75/2.21 fd_pseudo 0
% 11.75/2.21 fd_cond 2
% 11.75/2.21 fd_pseudo_cond 4
% 11.75/2.21 AC symbols 0
% 11.75/2.21
% 11.75/2.21 ------ Input Options Time Limit: Unbounded
% 11.75/2.21
% 11.75/2.21
% 11.75/2.21 ------
% 11.75/2.21 Current options:
% 11.75/2.21 ------
% 11.75/2.21
% 11.75/2.21
% 11.75/2.21
% 11.75/2.21
% 11.75/2.21 ------ Proving...
% 11.75/2.21
% 11.75/2.21
% 11.75/2.21 % SZS status Theorem for theBenchmark.p
% 11.75/2.21
% 11.75/2.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.75/2.21
% 11.75/2.22
%------------------------------------------------------------------------------