TSTP Solution File: LAT294+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LAT294+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 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 : Wed Aug 31 17:33:23 EDT 2022
% Result : Theorem 0.14s 0.50s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 11
% Syntax : Number of formulae : 116 ( 24 unt; 0 def)
% Number of atoms : 1004 ( 48 equ)
% Maximal formula atoms : 38 ( 8 avg)
% Number of connectives : 1462 ( 574 ~; 588 |; 261 &)
% ( 6 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 183 ( 135 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f562,plain,
$false,
inference(avatar_sat_refutation,[],[f421,f484,f561]) ).
fof(f561,plain,
spl14_33,
inference(avatar_contradiction_clause,[],[f560]) ).
fof(f560,plain,
( $false
| spl14_33 ),
inference(subsumption_resolution,[],[f559,f106]) ).
fof(f106,plain,
v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ~ v1_xboole_0(sK1)
& v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(sK2)
& m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(sK4)
& m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(sK5)
& m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
& ~ r6_binop_1(sK1,sK4,sK5)
& r6_binop_1(sK0,sK2,sK3)
& sK5 = k1_realset1(sK3,sK1)
& k1_realset1(sK2,sK1) = sK4
& v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(sK3)
& m2_relset_1(sK3,k2_zfmisc_1(sK0,sK0),sK0)
& m1_subset_1(sK1,k1_zfmisc_1(sK0))
& ~ v1_xboole_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f54,f75,f74,f73,f72,f71,f70]) ).
fof(f70,plain,
( ? [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& ? [X2] :
( v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& ? [X3] :
( ? [X4] :
( v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& ? [X5] :
( v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5)
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& ~ r6_binop_1(X1,X4,X5)
& r6_binop_1(X0,X2,X3)
& k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4 ) )
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3)
& m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0) ) )
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) )
=> ( ? [X1] :
( ~ v1_xboole_0(X1)
& ? [X2] :
( v1_funct_2(X2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X2)
& m2_relset_1(X2,k2_zfmisc_1(sK0,sK0),sK0)
& ? [X3] :
( ? [X4] :
( v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& ? [X5] :
( v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5)
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& ~ r6_binop_1(X1,X4,X5)
& r6_binop_1(sK0,X2,X3)
& k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4 ) )
& v1_funct_2(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X3)
& m2_relset_1(X3,k2_zfmisc_1(sK0,sK0),sK0) ) )
& m1_subset_1(X1,k1_zfmisc_1(sK0)) )
& ~ v1_xboole_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ? [X1] :
( ~ v1_xboole_0(X1)
& ? [X2] :
( v1_funct_2(X2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X2)
& m2_relset_1(X2,k2_zfmisc_1(sK0,sK0),sK0)
& ? [X3] :
( ? [X4] :
( v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& ? [X5] :
( v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5)
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& ~ r6_binop_1(X1,X4,X5)
& r6_binop_1(sK0,X2,X3)
& k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4 ) )
& v1_funct_2(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X3)
& m2_relset_1(X3,k2_zfmisc_1(sK0,sK0),sK0) ) )
& m1_subset_1(X1,k1_zfmisc_1(sK0)) )
=> ( ~ v1_xboole_0(sK1)
& ? [X2] :
( v1_funct_2(X2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X2)
& m2_relset_1(X2,k2_zfmisc_1(sK0,sK0),sK0)
& ? [X3] :
( ? [X4] :
( v1_funct_2(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X4)
& m2_relset_1(X4,k2_zfmisc_1(sK1,sK1),sK1)
& ? [X5] :
( v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5)
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& ~ r6_binop_1(sK1,X4,X5)
& r6_binop_1(sK0,X2,X3)
& k1_realset1(X3,sK1) = X5
& k1_realset1(X2,sK1) = X4 ) )
& v1_funct_2(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X3)
& m2_relset_1(X3,k2_zfmisc_1(sK0,sK0),sK0) ) )
& m1_subset_1(sK1,k1_zfmisc_1(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ? [X2] :
( v1_funct_2(X2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X2)
& m2_relset_1(X2,k2_zfmisc_1(sK0,sK0),sK0)
& ? [X3] :
( ? [X4] :
( v1_funct_2(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X4)
& m2_relset_1(X4,k2_zfmisc_1(sK1,sK1),sK1)
& ? [X5] :
( v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5)
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& ~ r6_binop_1(sK1,X4,X5)
& r6_binop_1(sK0,X2,X3)
& k1_realset1(X3,sK1) = X5
& k1_realset1(X2,sK1) = X4 ) )
& v1_funct_2(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X3)
& m2_relset_1(X3,k2_zfmisc_1(sK0,sK0),sK0) ) )
=> ( v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(sK2)
& m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
& ? [X3] :
( ? [X4] :
( v1_funct_2(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X4)
& m2_relset_1(X4,k2_zfmisc_1(sK1,sK1),sK1)
& ? [X5] :
( v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5)
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& ~ r6_binop_1(sK1,X4,X5)
& r6_binop_1(sK0,sK2,X3)
& k1_realset1(X3,sK1) = X5
& k1_realset1(sK2,sK1) = X4 ) )
& v1_funct_2(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X3)
& m2_relset_1(X3,k2_zfmisc_1(sK0,sK0),sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( ? [X3] :
( ? [X4] :
( v1_funct_2(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X4)
& m2_relset_1(X4,k2_zfmisc_1(sK1,sK1),sK1)
& ? [X5] :
( v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5)
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& ~ r6_binop_1(sK1,X4,X5)
& r6_binop_1(sK0,sK2,X3)
& k1_realset1(X3,sK1) = X5
& k1_realset1(sK2,sK1) = X4 ) )
& v1_funct_2(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X3)
& m2_relset_1(X3,k2_zfmisc_1(sK0,sK0),sK0) )
=> ( ? [X4] :
( v1_funct_2(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X4)
& m2_relset_1(X4,k2_zfmisc_1(sK1,sK1),sK1)
& ? [X5] :
( v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5)
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& ~ r6_binop_1(sK1,X4,X5)
& r6_binop_1(sK0,sK2,sK3)
& k1_realset1(sK3,sK1) = X5
& k1_realset1(sK2,sK1) = X4 ) )
& v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(sK3)
& m2_relset_1(sK3,k2_zfmisc_1(sK0,sK0),sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
( ? [X4] :
( v1_funct_2(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X4)
& m2_relset_1(X4,k2_zfmisc_1(sK1,sK1),sK1)
& ? [X5] :
( v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5)
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& ~ r6_binop_1(sK1,X4,X5)
& r6_binop_1(sK0,sK2,sK3)
& k1_realset1(sK3,sK1) = X5
& k1_realset1(sK2,sK1) = X4 ) )
=> ( v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(sK4)
& m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
& ? [X5] :
( v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5)
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& ~ r6_binop_1(sK1,sK4,X5)
& r6_binop_1(sK0,sK2,sK3)
& k1_realset1(sK3,sK1) = X5
& k1_realset1(sK2,sK1) = sK4 ) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
( ? [X5] :
( v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5)
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& ~ r6_binop_1(sK1,sK4,X5)
& r6_binop_1(sK0,sK2,sK3)
& k1_realset1(sK3,sK1) = X5
& k1_realset1(sK2,sK1) = sK4 )
=> ( v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(sK5)
& m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
& ~ r6_binop_1(sK1,sK4,sK5)
& r6_binop_1(sK0,sK2,sK3)
& sK5 = k1_realset1(sK3,sK1)
& k1_realset1(sK2,sK1) = sK4 ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& ? [X2] :
( v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& ? [X3] :
( ? [X4] :
( v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& ? [X5] :
( v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5)
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& ~ r6_binop_1(X1,X4,X5)
& r6_binop_1(X0,X2,X3)
& k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4 ) )
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3)
& m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0) ) )
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(X1,X4,X5)
& r6_binop_1(X0,X2,X3)
& k1_realset1(X2,X1) = X4
& k1_realset1(X3,X1) = X5
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
& v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
& m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0) )
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
& m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
=> ( ( r6_binop_1(X0,X2,X3)
& k1_realset1(X2,X1) = X4
& k1_realset1(X3,X1) = X5 )
=> r6_binop_1(X1,X4,X5) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
=> ( ( r6_binop_1(X0,X2,X3)
& k1_realset1(X2,X1) = X4
& k1_realset1(X3,X1) = X5 )
=> r6_binop_1(X1,X4,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_filter_2) ).
fof(f559,plain,
( ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| spl14_33 ),
inference(subsumption_resolution,[],[f558,f117]) ).
fof(f117,plain,
m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f558,plain,
( ~ m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| spl14_33 ),
inference(subsumption_resolution,[],[f557,f102]) ).
fof(f102,plain,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f557,plain,
( v1_xboole_0(sK0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| spl14_33 ),
inference(subsumption_resolution,[],[f556,f119]) ).
fof(f119,plain,
v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f556,plain,
( ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| v1_xboole_0(sK0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| spl14_33 ),
inference(subsumption_resolution,[],[f555,f301]) ).
fof(f301,plain,
r4_binop_1(sK0,sK2,sK3),
inference(subsumption_resolution,[],[f300,f109]) ).
fof(f109,plain,
r6_binop_1(sK0,sK2,sK3),
inference(cnf_transformation,[],[f76]) ).
fof(f300,plain,
( r4_binop_1(sK0,sK2,sK3)
| ~ r6_binop_1(sK0,sK2,sK3) ),
inference(subsumption_resolution,[],[f299,f118]) ).
fof(f118,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f76]) ).
fof(f299,plain,
( r4_binop_1(sK0,sK2,sK3)
| ~ v1_funct_1(sK2)
| ~ r6_binop_1(sK0,sK2,sK3) ),
inference(subsumption_resolution,[],[f268,f119]) ).
fof(f268,plain,
( ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| r4_binop_1(sK0,sK2,sK3)
| ~ v1_funct_1(sK2)
| ~ r6_binop_1(sK0,sK2,sK3) ),
inference(resolution,[],[f200,f117]) ).
fof(f200,plain,
! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(sK0,sK0),sK0)
| r4_binop_1(sK0,X1,sK3)
| ~ r6_binop_1(sK0,X1,sK3)
| ~ v1_funct_2(X1,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(X1) ),
inference(subsumption_resolution,[],[f199,f106]) ).
fof(f199,plain,
! [X1] :
( r4_binop_1(sK0,X1,sK3)
| ~ m2_relset_1(X1,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ r6_binop_1(sK0,X1,sK3)
| ~ v1_funct_2(X1,k2_zfmisc_1(sK0,sK0),sK0) ),
inference(subsumption_resolution,[],[f191,f105]) ).
fof(f105,plain,
v1_funct_1(sK3),
inference(cnf_transformation,[],[f76]) ).
fof(f191,plain,
! [X1] :
( ~ v1_funct_1(sK3)
| ~ v1_funct_2(X1,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m2_relset_1(X1,k2_zfmisc_1(sK0,sK0),sK0)
| r4_binop_1(sK0,X1,sK3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ r6_binop_1(sK0,X1,sK3) ),
inference(resolution,[],[f99,f104]) ).
fof(f104,plain,
m2_relset_1(sK3,k2_zfmisc_1(sK0,sK0),sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ r6_binop_1(X0,X1,X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| r4_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ( ( r6_binop_1(X0,X1,X2)
| ~ r5_binop_1(X0,X1,X2)
| ~ r4_binop_1(X0,X1,X2) )
& ( ( r5_binop_1(X0,X1,X2)
& r4_binop_1(X0,X1,X2) )
| ~ r6_binop_1(X0,X1,X2) ) ) )
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X1,X0] :
( ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ( ( r6_binop_1(X1,X0,X2)
| ~ r5_binop_1(X1,X0,X2)
| ~ r4_binop_1(X1,X0,X2) )
& ( ( r5_binop_1(X1,X0,X2)
& r4_binop_1(X1,X0,X2) )
| ~ r6_binop_1(X1,X0,X2) ) ) )
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ( ( r6_binop_1(X1,X0,X2)
| ~ r5_binop_1(X1,X0,X2)
| ~ r4_binop_1(X1,X0,X2) )
& ( ( r5_binop_1(X1,X0,X2)
& r4_binop_1(X1,X0,X2) )
| ~ r6_binop_1(X1,X0,X2) ) ) )
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X1,X0] :
( ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ( r6_binop_1(X1,X0,X2)
<=> ( r5_binop_1(X1,X0,X2)
& r4_binop_1(X1,X0,X2) ) ) )
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ! [X2] :
( ( r6_binop_1(X1,X0,X2)
<=> ( r5_binop_1(X1,X0,X2)
& r4_binop_1(X1,X0,X2) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1) )
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X0) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1) )
=> ( r6_binop_1(X1,X0,X2)
<=> ( r5_binop_1(X1,X0,X2)
& r4_binop_1(X1,X0,X2) ) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( ( v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2] :
( ( v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ( r6_binop_1(X0,X1,X2)
<=> ( r5_binop_1(X0,X1,X2)
& r4_binop_1(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_binop_1) ).
fof(f555,plain,
( ~ r4_binop_1(sK0,sK2,sK3)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| v1_xboole_0(sK0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| spl14_33 ),
inference(subsumption_resolution,[],[f554,f103]) ).
fof(f103,plain,
m1_subset_1(sK1,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f76]) ).
fof(f554,plain,
( ~ m1_subset_1(sK1,k1_zfmisc_1(sK0))
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ r4_binop_1(sK0,sK2,sK3)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| v1_xboole_0(sK0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| spl14_33 ),
inference(resolution,[],[f552,f104]) ).
fof(f552,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ r4_binop_1(X0,sK2,sK3)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0) )
| spl14_33 ),
inference(subsumption_resolution,[],[f551,f115]) ).
fof(f115,plain,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f76]) ).
fof(f551,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK4)
| ~ r4_binop_1(X0,sK2,sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0) )
| spl14_33 ),
inference(subsumption_resolution,[],[f550,f118]) ).
fof(f550,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ r4_binop_1(X0,sK2,sK3)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_1(sK4) )
| spl14_33 ),
inference(subsumption_resolution,[],[f549,f116]) ).
fof(f116,plain,
v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f76]) ).
fof(f549,plain,
( ! [X0] :
( ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK2)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ r4_binop_1(X0,sK2,sK3)
| v1_xboole_0(X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK4)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0) )
| spl14_33 ),
inference(subsumption_resolution,[],[f548,f420]) ).
fof(f420,plain,
( ~ r4_binop_1(sK1,sK4,sK5)
| spl14_33 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f418,plain,
( spl14_33
<=> r4_binop_1(sK1,sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_33])]) ).
fof(f548,plain,
! [X0] :
( ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| r4_binop_1(sK1,sK4,sK5)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ r4_binop_1(X0,sK2,sK3)
| ~ v1_funct_1(sK2)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK4) ),
inference(subsumption_resolution,[],[f540,f114]) ).
fof(f114,plain,
m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f76]) ).
fof(f540,plain,
! [X0] :
( ~ m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(sK4)
| r4_binop_1(sK1,sK4,sK5)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ r4_binop_1(X0,sK2,sK3)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0) ),
inference(superposition,[],[f520,f107]) ).
fof(f107,plain,
k1_realset1(sK2,sK1) = sK4,
inference(cnf_transformation,[],[f76]) ).
fof(f520,plain,
! [X2,X3] :
( ~ m2_relset_1(k1_realset1(X3,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ r4_binop_1(X2,X3,sK3)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X2))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(k1_realset1(X3,sK1))
| ~ m2_relset_1(sK3,k2_zfmisc_1(X2,X2),X2)
| v1_xboole_0(X2)
| r4_binop_1(sK1,k1_realset1(X3,sK1),sK5)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(k1_realset1(X3,sK1),k2_zfmisc_1(sK1,sK1),sK1) ),
inference(subsumption_resolution,[],[f519,f113]) ).
fof(f113,plain,
v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f76]) ).
fof(f519,plain,
! [X2,X3] :
( ~ r4_binop_1(X2,X3,sK3)
| r4_binop_1(sK1,k1_realset1(X3,sK1),sK5)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(k1_realset1(X3,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X3,sK1))
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(k1_realset1(X3,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X2))
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1) ),
inference(subsumption_resolution,[],[f518,f112]) ).
fof(f112,plain,
v1_funct_1(sK5),
inference(cnf_transformation,[],[f76]) ).
fof(f518,plain,
! [X2,X3] :
( ~ v1_funct_2(k1_realset1(X3,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK5)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X2))
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(k1_realset1(X3,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| r4_binop_1(sK1,k1_realset1(X3,sK1),sK5)
| ~ r4_binop_1(X2,X3,sK3)
| v1_xboole_0(X2)
| ~ v1_funct_1(k1_realset1(X3,sK1))
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(subsumption_resolution,[],[f517,f105]) ).
fof(f517,plain,
! [X2,X3] :
( ~ m1_subset_1(sK1,k1_zfmisc_1(X2))
| ~ r4_binop_1(X2,X3,sK3)
| v1_xboole_0(X2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(k1_realset1(X3,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(sK5)
| ~ v1_funct_1(k1_realset1(X3,sK1))
| r4_binop_1(sK1,k1_realset1(X3,sK1),sK5)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(k1_realset1(X3,sK1),k2_zfmisc_1(sK1,sK1),sK1) ),
inference(subsumption_resolution,[],[f516,f120]) ).
fof(f120,plain,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f76]) ).
fof(f516,plain,
! [X2,X3] :
( ~ r4_binop_1(X2,X3,sK3)
| v1_xboole_0(sK1)
| v1_xboole_0(X2)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X2,X2),X2)
| r4_binop_1(sK1,k1_realset1(X3,sK1),sK5)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(k1_realset1(X3,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X2))
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(k1_realset1(X3,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X3,sK1))
| ~ v1_funct_1(sK5) ),
inference(subsumption_resolution,[],[f510,f111]) ).
fof(f111,plain,
m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f76]) ).
fof(f510,plain,
! [X2,X3] :
( ~ m1_subset_1(sK1,k1_zfmisc_1(X2))
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(k1_realset1(X3,sK1))
| v1_xboole_0(X2)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X2,X2),X2)
| ~ r4_binop_1(X2,X3,sK3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(k1_realset1(X3,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X2,X2),X2)
| r4_binop_1(sK1,k1_realset1(X3,sK1),sK5)
| ~ v1_funct_1(sK3)
| ~ v1_funct_1(sK5)
| ~ v1_funct_2(k1_realset1(X3,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(sK1) ),
inference(superposition,[],[f147,f108]) ).
fof(f108,plain,
sK5 = k1_realset1(sK3,sK1),
inference(cnf_transformation,[],[f76]) ).
fof(f147,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| r4_binop_1(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r4_binop_1(X0,X2,X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0) ),
inference(equality_resolution,[],[f146]) ).
fof(f146,plain,
! [X2,X3,X0,X1,X5] :
( v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| k1_realset1(X3,X1) != X5
| r4_binop_1(X1,k1_realset1(X2,X1),X5)
| ~ r4_binop_1(X0,X2,X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f142]) ).
fof(f142,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| k1_realset1(X2,X1) != X4
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| k1_realset1(X3,X1) != X5
| r4_binop_1(X1,X4,X5)
| ~ r4_binop_1(X0,X2,X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ! [X3] :
( ~ v1_funct_1(X3)
| ! [X4] :
( ~ v1_funct_1(X4)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ! [X5] :
( ~ v1_funct_1(X5)
| k1_realset1(X2,X1) != X4
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| k1_realset1(X3,X1) != X5
| ( ( ~ r5_binop_1(X0,X2,X3)
| r5_binop_1(X1,X4,X5) )
& ( r4_binop_1(X1,X4,X5)
| ~ r4_binop_1(X0,X2,X3) ) ) ) )
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( ~ r5_binop_1(X0,X2,X3)
| r5_binop_1(X1,X4,X5) )
& ( r4_binop_1(X1,X4,X5)
| ~ r4_binop_1(X0,X2,X3) ) )
| k1_realset1(X3,X1) != X5
| k1_realset1(X2,X1) != X4
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5) )
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0) )
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0) )
=> ! [X4] :
( ( v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
=> ( ( k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4 )
=> ( ( r4_binop_1(X0,X2,X3)
=> r4_binop_1(X1,X4,X5) )
& ( r5_binop_1(X0,X2,X3)
=> r5_binop_1(X1,X4,X5) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_filter_2) ).
fof(f484,plain,
spl14_32,
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f483,plain,
( $false
| spl14_32 ),
inference(subsumption_resolution,[],[f482,f119]) ).
fof(f482,plain,
( ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| spl14_32 ),
inference(subsumption_resolution,[],[f481,f103]) ).
fof(f481,plain,
( ~ m1_subset_1(sK1,k1_zfmisc_1(sK0))
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| spl14_32 ),
inference(subsumption_resolution,[],[f480,f106]) ).
fof(f480,plain,
( ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(sK0))
| spl14_32 ),
inference(subsumption_resolution,[],[f479,f117]) ).
fof(f479,plain,
( ~ m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(sK0))
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| spl14_32 ),
inference(subsumption_resolution,[],[f478,f102]) ).
fof(f478,plain,
( v1_xboole_0(sK0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(sK0))
| spl14_32 ),
inference(subsumption_resolution,[],[f477,f373]) ).
fof(f373,plain,
r5_binop_1(sK0,sK2,sK3),
inference(subsumption_resolution,[],[f372,f118]) ).
fof(f372,plain,
( r5_binop_1(sK0,sK2,sK3)
| ~ v1_funct_1(sK2) ),
inference(subsumption_resolution,[],[f371,f119]) ).
fof(f371,plain,
( r5_binop_1(sK0,sK2,sK3)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(sK2) ),
inference(subsumption_resolution,[],[f368,f109]) ).
fof(f368,plain,
( ~ r6_binop_1(sK0,sK2,sK3)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(sK2)
| r5_binop_1(sK0,sK2,sK3) ),
inference(resolution,[],[f346,f117]) ).
fof(f346,plain,
! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(X1,k2_zfmisc_1(sK0,sK0),sK0)
| ~ r6_binop_1(sK0,X1,sK3)
| r5_binop_1(sK0,X1,sK3)
| ~ v1_funct_1(X1) ),
inference(subsumption_resolution,[],[f345,f106]) ).
fof(f345,plain,
! [X1] :
( ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k2_zfmisc_1(sK0,sK0),sK0)
| r5_binop_1(sK0,X1,sK3)
| ~ v1_funct_2(X1,k2_zfmisc_1(sK0,sK0),sK0)
| ~ r6_binop_1(sK0,X1,sK3) ),
inference(subsumption_resolution,[],[f337,f105]) ).
fof(f337,plain,
! [X1] :
( r5_binop_1(sK0,X1,sK3)
| ~ v1_funct_2(X1,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(X1,k2_zfmisc_1(sK0,sK0),sK0)
| ~ r6_binop_1(sK0,X1,sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0) ),
inference(resolution,[],[f100,f104]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| r5_binop_1(X0,X1,X2)
| ~ r6_binop_1(X0,X1,X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f477,plain,
( ~ r5_binop_1(sK0,sK2,sK3)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| v1_xboole_0(sK0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(sK0))
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| spl14_32 ),
inference(resolution,[],[f476,f104]) ).
fof(f476,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ r5_binop_1(X0,sK2,sK3) )
| spl14_32 ),
inference(subsumption_resolution,[],[f475,f115]) ).
fof(f475,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ r5_binop_1(X0,sK2,sK3)
| ~ v1_funct_1(sK4)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0) )
| spl14_32 ),
inference(subsumption_resolution,[],[f474,f416]) ).
fof(f416,plain,
( ~ r5_binop_1(sK1,sK4,sK5)
| spl14_32 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f414,plain,
( spl14_32
<=> r5_binop_1(sK1,sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_32])]) ).
fof(f474,plain,
! [X0] :
( ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK4)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| r5_binop_1(sK1,sK4,sK5)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ r5_binop_1(X0,sK2,sK3) ),
inference(subsumption_resolution,[],[f473,f116]) ).
fof(f473,plain,
! [X0] :
( ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ r5_binop_1(X0,sK2,sK3)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK4)
| r5_binop_1(sK1,sK4,sK5)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0) ),
inference(subsumption_resolution,[],[f472,f114]) ).
fof(f472,plain,
! [X0] :
( ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ r5_binop_1(X0,sK2,sK3)
| ~ v1_funct_1(sK4)
| r5_binop_1(sK1,sK4,sK5) ),
inference(subsumption_resolution,[],[f461,f118]) ).
fof(f461,plain,
! [X0] :
( ~ r5_binop_1(X0,sK2,sK3)
| ~ v1_funct_1(sK2)
| r5_binop_1(sK1,sK4,sK5)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1) ),
inference(superposition,[],[f455,f107]) ).
fof(f455,plain,
! [X2,X3] :
( ~ m2_relset_1(k1_realset1(X2,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X3,X3),X3)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X3))
| v1_xboole_0(X3)
| ~ r5_binop_1(X3,X2,sK3)
| ~ v1_funct_2(k1_realset1(X2,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X2,sK1))
| r5_binop_1(sK1,k1_realset1(X2,sK1),sK5)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3) ),
inference(subsumption_resolution,[],[f454,f113]) ).
fof(f454,plain,
! [X2,X3] :
( ~ v1_funct_2(k1_realset1(X2,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(k1_realset1(X2,sK1))
| r5_binop_1(sK1,k1_realset1(X2,sK1),sK5)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X3))
| ~ m2_relset_1(sK3,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(k1_realset1(X2,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(X3,X2,sK3)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| v1_xboole_0(X3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X3,X3),X3) ),
inference(subsumption_resolution,[],[f453,f112]) ).
fof(f453,plain,
! [X2,X3] :
( v1_xboole_0(X3)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X3))
| ~ v1_funct_1(sK5)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X3,X3),X3)
| ~ r5_binop_1(X3,X2,sK3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(k1_realset1(X2,sK1))
| ~ v1_funct_2(k1_realset1(X2,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X2,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X3,X3),X3)
| r5_binop_1(sK1,k1_realset1(X2,sK1),sK5)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3) ),
inference(subsumption_resolution,[],[f452,f120]) ).
fof(f452,plain,
! [X2,X3] :
( ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| r5_binop_1(sK1,k1_realset1(X2,sK1),sK5)
| v1_xboole_0(X3)
| ~ m2_relset_1(k1_realset1(X2,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(sK1)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X3))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(sK5)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(k1_realset1(X2,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(X3,X2,sK3)
| ~ v1_funct_1(k1_realset1(X2,sK1)) ),
inference(subsumption_resolution,[],[f451,f105]) ).
fof(f451,plain,
! [X2,X3] :
( ~ v1_funct_1(X2)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(k1_realset1(X2,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(sK1)
| ~ v1_funct_2(k1_realset1(X2,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| r5_binop_1(sK1,k1_realset1(X2,sK1),sK5)
| ~ v1_funct_1(sK5)
| v1_xboole_0(X3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X3,X3),X3)
| ~ r5_binop_1(X3,X2,sK3)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X3))
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(k1_realset1(X2,sK1)) ),
inference(subsumption_resolution,[],[f450,f111]) ).
fof(f450,plain,
! [X2,X3] :
( ~ m2_relset_1(k1_realset1(X2,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(X3,X2,sK3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(sK3)
| r5_binop_1(sK1,k1_realset1(X2,sK1),sK5)
| v1_xboole_0(sK1)
| ~ v1_funct_1(k1_realset1(X2,sK1))
| ~ v1_funct_2(sK3,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(k1_realset1(X2,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X3))
| ~ m2_relset_1(sK3,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(sK5)
| v1_xboole_0(X3) ),
inference(superposition,[],[f145,f108]) ).
fof(f145,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r5_binop_1(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v1_funct_1(X3)
| ~ r5_binop_1(X0,X2,X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(X3,X1))
| v1_xboole_0(X1)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,plain,
! [X2,X3,X0,X1,X5] :
( v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| k1_realset1(X3,X1) != X5
| ~ r5_binop_1(X0,X2,X3)
| r5_binop_1(X1,k1_realset1(X2,X1),X5)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| k1_realset1(X2,X1) != X4
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| k1_realset1(X3,X1) != X5
| ~ r5_binop_1(X0,X2,X3)
| r5_binop_1(X1,X4,X5)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f421,plain,
( ~ spl14_32
| ~ spl14_33 ),
inference(avatar_split_clause,[],[f412,f418,f414]) ).
fof(f412,plain,
( ~ r4_binop_1(sK1,sK4,sK5)
| ~ r5_binop_1(sK1,sK4,sK5) ),
inference(subsumption_resolution,[],[f411,f110]) ).
fof(f110,plain,
~ r6_binop_1(sK1,sK4,sK5),
inference(cnf_transformation,[],[f76]) ).
fof(f411,plain,
( ~ r4_binop_1(sK1,sK4,sK5)
| ~ r5_binop_1(sK1,sK4,sK5)
| r6_binop_1(sK1,sK4,sK5) ),
inference(subsumption_resolution,[],[f410,f116]) ).
fof(f410,plain,
( ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r4_binop_1(sK1,sK4,sK5)
| r6_binop_1(sK1,sK4,sK5)
| ~ r5_binop_1(sK1,sK4,sK5) ),
inference(subsumption_resolution,[],[f407,f115]) ).
fof(f407,plain,
( ~ v1_funct_1(sK4)
| ~ r5_binop_1(sK1,sK4,sK5)
| r6_binop_1(sK1,sK4,sK5)
| ~ r4_binop_1(sK1,sK4,sK5)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1) ),
inference(resolution,[],[f359,f114]) ).
fof(f359,plain,
! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(sK1,sK1),sK1)
| r6_binop_1(sK1,X3,sK5)
| ~ r4_binop_1(sK1,X3,sK5)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(sK1,X3,sK5) ),
inference(subsumption_resolution,[],[f358,f112]) ).
fof(f358,plain,
! [X3] :
( ~ v1_funct_2(X3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r4_binop_1(sK1,X3,sK5)
| ~ r5_binop_1(sK1,X3,sK5)
| ~ m2_relset_1(X3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(sK5)
| r6_binop_1(sK1,X3,sK5) ),
inference(subsumption_resolution,[],[f352,f113]) ).
fof(f352,plain,
! [X3] :
( ~ r5_binop_1(sK1,X3,sK5)
| ~ v1_funct_2(X3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK5)
| ~ r4_binop_1(sK1,X3,sK5)
| r6_binop_1(sK1,X3,sK5)
| ~ m2_relset_1(X3,k2_zfmisc_1(sK1,sK1),sK1) ),
inference(resolution,[],[f101,f111]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| r6_binop_1(X0,X1,X2)
| ~ r4_binop_1(X0,X1,X2)
| ~ r5_binop_1(X0,X1,X2)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LAT294+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.29 % Computer : n009.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Aug 30 00:59:20 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.14/0.45 % (19894)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.14/0.47 % (19911)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.14/0.47 % (19903)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.47 % (19910)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.14/0.48 % (19902)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.48 % (19895)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.14/0.48 % (19903)Instruction limit reached!
% 0.14/0.48 % (19903)------------------------------
% 0.14/0.48 % (19903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (19903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (19903)Termination reason: Unknown
% 0.14/0.48 % (19903)Termination phase: Saturation
% 0.14/0.48
% 0.14/0.48 % (19903)Memory used [KB]: 6140
% 0.14/0.48 % (19903)Time elapsed: 0.071 s
% 0.14/0.48 % (19903)Instructions burned: 7 (million)
% 0.14/0.48 % (19903)------------------------------
% 0.14/0.48 % (19903)------------------------------
% 0.14/0.48 % (19902)Instruction limit reached!
% 0.14/0.48 % (19902)------------------------------
% 0.14/0.48 % (19902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (19902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (19902)Termination reason: Unknown
% 0.14/0.48 % (19902)Termination phase: Property scanning
% 0.14/0.48
% 0.14/0.48 % (19902)Memory used [KB]: 1535
% 0.14/0.48 % (19902)Time elapsed: 0.005 s
% 0.14/0.49 % (19901)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.49 % (19902)Instructions burned: 4 (million)
% 0.14/0.49 % (19902)------------------------------
% 0.14/0.49 % (19902)------------------------------
% 0.14/0.49 % (19890)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.49 % (19894)First to succeed.
% 0.14/0.49 % (19896)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.14/0.49 % (19898)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.14/0.49 % (19897)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.14/0.49 % (19900)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.49 % (19899)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.50 % (19898)Refutation not found, incomplete strategy% (19898)------------------------------
% 0.14/0.50 % (19898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (19898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50 % (19898)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.50
% 0.14/0.50 % (19898)Memory used [KB]: 6140
% 0.14/0.50 % (19898)Time elapsed: 0.145 s
% 0.14/0.50 % (19898)Instructions burned: 9 (million)
% 0.14/0.50 % (19898)------------------------------
% 0.14/0.50 % (19898)------------------------------
% 0.14/0.50 % (19899)Instruction limit reached!
% 0.14/0.50 % (19899)------------------------------
% 0.14/0.50 % (19899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (19899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50 % (19899)Termination reason: Unknown
% 0.14/0.50 % (19899)Termination phase: Saturation
% 0.14/0.50
% 0.14/0.50 % (19899)Memory used [KB]: 6140
% 0.14/0.50 % (19899)Time elapsed: 0.140 s
% 0.14/0.50 % (19899)Instructions burned: 7 (million)
% 0.14/0.50 % (19899)------------------------------
% 0.14/0.50 % (19899)------------------------------
% 0.14/0.50 % (19894)Refutation found. Thanks to Tanya!
% 0.14/0.50 % SZS status Theorem for theBenchmark
% 0.14/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.50 % (19894)------------------------------
% 0.14/0.50 % (19894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (19894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50 % (19894)Termination reason: Refutation
% 0.14/0.50
% 0.14/0.50 % (19894)Memory used [KB]: 6396
% 0.14/0.50 % (19894)Time elapsed: 0.131 s
% 0.14/0.50 % (19894)Instructions burned: 21 (million)
% 0.14/0.50 % (19894)------------------------------
% 0.14/0.50 % (19894)------------------------------
% 0.14/0.50 % (19887)Success in time 0.202 s
%------------------------------------------------------------------------------