TSTP Solution File: LAT294+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n004.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 17:36:43 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 14
% Syntax : Number of formulae : 160 ( 44 unt; 0 def)
% Number of atoms : 1146 ( 57 equ)
% Maximal formula atoms : 38 ( 7 avg)
% Number of connectives : 1689 ( 703 ~; 698 |; 254 &)
% ( 3 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 158 ( 110 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f855,plain,
$false,
inference(subsumption_resolution,[],[f854,f204]) ).
fof(f204,plain,
v1_funct_2(sK7,sF17,sK4),
inference(definition_folding,[],[f163,f203]) ).
fof(f203,plain,
sF17 = k2_zfmisc_1(sK4,sK4),
introduced(function_definition,[]) ).
fof(f163,plain,
v1_funct_2(sK7,k2_zfmisc_1(sK4,sK4),sK4),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ~ v1_xboole_0(sK4)
& v1_funct_1(sK5)
& v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
& v1_funct_1(sK6)
& v1_funct_2(sK7,k2_zfmisc_1(sK4,sK4),sK4)
& v1_funct_1(sK7)
& m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
& r6_binop_1(sK3,sK5,sK6)
& sK7 = k1_realset1(sK5,sK4)
& v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4)
& sK8 = k1_realset1(sK6,sK4)
& v1_funct_1(sK8)
& ~ r6_binop_1(sK4,sK7,sK8)
& m2_relset_1(sK7,k2_zfmisc_1(sK4,sK4),sK4)
& m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
& m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
& v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
& m1_subset_1(sK4,k1_zfmisc_1(sK3))
& ~ v1_xboole_0(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8])],[f86,f107,f106,f105,f104,f103,f102]) ).
fof(f102,plain,
( ? [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& ? [X2] :
( v1_funct_1(X2)
& ? [X3] :
( v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3)
& ? [X4] :
( v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4)
& ? [X5] :
( m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& r6_binop_1(X0,X2,X3)
& k1_realset1(X2,X1) = X4
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& k1_realset1(X3,X1) = X5
& v1_funct_1(X5)
& ~ r6_binop_1(X1,X4,X5) )
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
& 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) )
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) )
=> ( ? [X1] :
( ~ v1_xboole_0(X1)
& ? [X2] :
( v1_funct_1(X2)
& ? [X3] :
( v1_funct_2(X3,k2_zfmisc_1(sK3,sK3),sK3)
& v1_funct_1(X3)
& ? [X4] :
( v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4)
& ? [X5] :
( m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& r6_binop_1(sK3,X2,X3)
& k1_realset1(X2,X1) = X4
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& k1_realset1(X3,X1) = X5
& v1_funct_1(X5)
& ~ r6_binop_1(X1,X4,X5) )
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
& m2_relset_1(X3,k2_zfmisc_1(sK3,sK3),sK3) )
& m2_relset_1(X2,k2_zfmisc_1(sK3,sK3),sK3)
& v1_funct_2(X2,k2_zfmisc_1(sK3,sK3),sK3) )
& m1_subset_1(X1,k1_zfmisc_1(sK3)) )
& ~ v1_xboole_0(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
( ? [X1] :
( ~ v1_xboole_0(X1)
& ? [X2] :
( v1_funct_1(X2)
& ? [X3] :
( v1_funct_2(X3,k2_zfmisc_1(sK3,sK3),sK3)
& v1_funct_1(X3)
& ? [X4] :
( v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4)
& ? [X5] :
( m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& r6_binop_1(sK3,X2,X3)
& k1_realset1(X2,X1) = X4
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& k1_realset1(X3,X1) = X5
& v1_funct_1(X5)
& ~ r6_binop_1(X1,X4,X5) )
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
& m2_relset_1(X3,k2_zfmisc_1(sK3,sK3),sK3) )
& m2_relset_1(X2,k2_zfmisc_1(sK3,sK3),sK3)
& v1_funct_2(X2,k2_zfmisc_1(sK3,sK3),sK3) )
& m1_subset_1(X1,k1_zfmisc_1(sK3)) )
=> ( ~ v1_xboole_0(sK4)
& ? [X2] :
( v1_funct_1(X2)
& ? [X3] :
( v1_funct_2(X3,k2_zfmisc_1(sK3,sK3),sK3)
& v1_funct_1(X3)
& ? [X4] :
( v1_funct_2(X4,k2_zfmisc_1(sK4,sK4),sK4)
& v1_funct_1(X4)
& ? [X5] :
( m2_relset_1(X5,k2_zfmisc_1(sK4,sK4),sK4)
& r6_binop_1(sK3,X2,X3)
& k1_realset1(X2,sK4) = X4
& v1_funct_2(X5,k2_zfmisc_1(sK4,sK4),sK4)
& k1_realset1(X3,sK4) = X5
& v1_funct_1(X5)
& ~ r6_binop_1(sK4,X4,X5) )
& m2_relset_1(X4,k2_zfmisc_1(sK4,sK4),sK4) )
& m2_relset_1(X3,k2_zfmisc_1(sK3,sK3),sK3) )
& m2_relset_1(X2,k2_zfmisc_1(sK3,sK3),sK3)
& v1_funct_2(X2,k2_zfmisc_1(sK3,sK3),sK3) )
& m1_subset_1(sK4,k1_zfmisc_1(sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
( ? [X2] :
( v1_funct_1(X2)
& ? [X3] :
( v1_funct_2(X3,k2_zfmisc_1(sK3,sK3),sK3)
& v1_funct_1(X3)
& ? [X4] :
( v1_funct_2(X4,k2_zfmisc_1(sK4,sK4),sK4)
& v1_funct_1(X4)
& ? [X5] :
( m2_relset_1(X5,k2_zfmisc_1(sK4,sK4),sK4)
& r6_binop_1(sK3,X2,X3)
& k1_realset1(X2,sK4) = X4
& v1_funct_2(X5,k2_zfmisc_1(sK4,sK4),sK4)
& k1_realset1(X3,sK4) = X5
& v1_funct_1(X5)
& ~ r6_binop_1(sK4,X4,X5) )
& m2_relset_1(X4,k2_zfmisc_1(sK4,sK4),sK4) )
& m2_relset_1(X3,k2_zfmisc_1(sK3,sK3),sK3) )
& m2_relset_1(X2,k2_zfmisc_1(sK3,sK3),sK3)
& v1_funct_2(X2,k2_zfmisc_1(sK3,sK3),sK3) )
=> ( v1_funct_1(sK5)
& ? [X3] :
( v1_funct_2(X3,k2_zfmisc_1(sK3,sK3),sK3)
& v1_funct_1(X3)
& ? [X4] :
( v1_funct_2(X4,k2_zfmisc_1(sK4,sK4),sK4)
& v1_funct_1(X4)
& ? [X5] :
( m2_relset_1(X5,k2_zfmisc_1(sK4,sK4),sK4)
& r6_binop_1(sK3,sK5,X3)
& k1_realset1(sK5,sK4) = X4
& v1_funct_2(X5,k2_zfmisc_1(sK4,sK4),sK4)
& k1_realset1(X3,sK4) = X5
& v1_funct_1(X5)
& ~ r6_binop_1(sK4,X4,X5) )
& m2_relset_1(X4,k2_zfmisc_1(sK4,sK4),sK4) )
& m2_relset_1(X3,k2_zfmisc_1(sK3,sK3),sK3) )
& m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
& v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
( ? [X3] :
( v1_funct_2(X3,k2_zfmisc_1(sK3,sK3),sK3)
& v1_funct_1(X3)
& ? [X4] :
( v1_funct_2(X4,k2_zfmisc_1(sK4,sK4),sK4)
& v1_funct_1(X4)
& ? [X5] :
( m2_relset_1(X5,k2_zfmisc_1(sK4,sK4),sK4)
& r6_binop_1(sK3,sK5,X3)
& k1_realset1(sK5,sK4) = X4
& v1_funct_2(X5,k2_zfmisc_1(sK4,sK4),sK4)
& k1_realset1(X3,sK4) = X5
& v1_funct_1(X5)
& ~ r6_binop_1(sK4,X4,X5) )
& m2_relset_1(X4,k2_zfmisc_1(sK4,sK4),sK4) )
& m2_relset_1(X3,k2_zfmisc_1(sK3,sK3),sK3) )
=> ( v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
& v1_funct_1(sK6)
& ? [X4] :
( v1_funct_2(X4,k2_zfmisc_1(sK4,sK4),sK4)
& v1_funct_1(X4)
& ? [X5] :
( m2_relset_1(X5,k2_zfmisc_1(sK4,sK4),sK4)
& r6_binop_1(sK3,sK5,sK6)
& k1_realset1(sK5,sK4) = X4
& v1_funct_2(X5,k2_zfmisc_1(sK4,sK4),sK4)
& k1_realset1(sK6,sK4) = X5
& v1_funct_1(X5)
& ~ r6_binop_1(sK4,X4,X5) )
& m2_relset_1(X4,k2_zfmisc_1(sK4,sK4),sK4) )
& m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ? [X4] :
( v1_funct_2(X4,k2_zfmisc_1(sK4,sK4),sK4)
& v1_funct_1(X4)
& ? [X5] :
( m2_relset_1(X5,k2_zfmisc_1(sK4,sK4),sK4)
& r6_binop_1(sK3,sK5,sK6)
& k1_realset1(sK5,sK4) = X4
& v1_funct_2(X5,k2_zfmisc_1(sK4,sK4),sK4)
& k1_realset1(sK6,sK4) = X5
& v1_funct_1(X5)
& ~ r6_binop_1(sK4,X4,X5) )
& m2_relset_1(X4,k2_zfmisc_1(sK4,sK4),sK4) )
=> ( v1_funct_2(sK7,k2_zfmisc_1(sK4,sK4),sK4)
& v1_funct_1(sK7)
& ? [X5] :
( m2_relset_1(X5,k2_zfmisc_1(sK4,sK4),sK4)
& r6_binop_1(sK3,sK5,sK6)
& sK7 = k1_realset1(sK5,sK4)
& v1_funct_2(X5,k2_zfmisc_1(sK4,sK4),sK4)
& k1_realset1(sK6,sK4) = X5
& v1_funct_1(X5)
& ~ r6_binop_1(sK4,sK7,X5) )
& m2_relset_1(sK7,k2_zfmisc_1(sK4,sK4),sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
( ? [X5] :
( m2_relset_1(X5,k2_zfmisc_1(sK4,sK4),sK4)
& r6_binop_1(sK3,sK5,sK6)
& sK7 = k1_realset1(sK5,sK4)
& v1_funct_2(X5,k2_zfmisc_1(sK4,sK4),sK4)
& k1_realset1(sK6,sK4) = X5
& v1_funct_1(X5)
& ~ r6_binop_1(sK4,sK7,X5) )
=> ( m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
& r6_binop_1(sK3,sK5,sK6)
& sK7 = k1_realset1(sK5,sK4)
& v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4)
& sK8 = k1_realset1(sK6,sK4)
& v1_funct_1(sK8)
& ~ r6_binop_1(sK4,sK7,sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
? [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& ? [X2] :
( v1_funct_1(X2)
& ? [X3] :
( v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3)
& ? [X4] :
( v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4)
& ? [X5] :
( m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& r6_binop_1(X0,X2,X3)
& k1_realset1(X2,X1) = X4
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& k1_realset1(X3,X1) = X5
& v1_funct_1(X5)
& ~ r6_binop_1(X1,X4,X5) )
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
& 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) )
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(X1,X4,X5)
& k1_realset1(X3,X1) = X5
& r6_binop_1(X0,X2,X3)
& k1_realset1(X2,X1) = X4
& 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_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
& m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3) )
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
& 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)
& v1_funct_1(X2)
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(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] :
( ( m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
=> ( ( k1_realset1(X3,X1) = X5
& r6_binop_1(X0,X2,X3)
& k1_realset1(X2,X1) = X4 )
=> 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)
& v1_funct_1(X2)
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(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] :
( ( m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
=> ( ( k1_realset1(X3,X1) = X5
& r6_binop_1(X0,X2,X3)
& k1_realset1(X2,X1) = X4 )
=> r6_binop_1(X1,X4,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
fof(f854,plain,
~ v1_funct_2(sK7,sF17,sK4),
inference(forward_demodulation,[],[f853,f217]) ).
fof(f217,plain,
sK7 = k1_realset1(sK5,sK4),
inference(forward_demodulation,[],[f206,f207]) ).
fof(f207,plain,
sK7 = sF18,
inference(definition_folding,[],[f159,f206]) ).
fof(f159,plain,
sK7 = k1_realset1(sK5,sK4),
inference(cnf_transformation,[],[f108]) ).
fof(f206,plain,
k1_realset1(sK5,sK4) = sF18,
introduced(function_definition,[]) ).
fof(f853,plain,
~ v1_funct_2(k1_realset1(sK5,sK4),sF17,sK4),
inference(subsumption_resolution,[],[f852,f211]) ).
fof(f211,plain,
m2_relset_1(sK7,sF17,sK4),
inference(definition_folding,[],[f154,f203]) ).
fof(f154,plain,
m2_relset_1(sK7,k2_zfmisc_1(sK4,sK4),sK4),
inference(cnf_transformation,[],[f108]) ).
fof(f852,plain,
( ~ v1_funct_2(k1_realset1(sK5,sK4),sF17,sK4)
| ~ m2_relset_1(sK7,sF17,sK4) ),
inference(forward_demodulation,[],[f851,f217]) ).
fof(f851,plain,
( ~ m2_relset_1(k1_realset1(sK5,sK4),sF17,sK4)
| ~ v1_funct_2(k1_realset1(sK5,sK4),sF17,sK4) ),
inference(forward_demodulation,[],[f850,f203]) ).
fof(f850,plain,
( ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(k1_realset1(sK5,sK4),sF17,sK4) ),
inference(forward_demodulation,[],[f849,f203]) ).
fof(f849,plain,
( ~ v1_funct_2(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4) ),
inference(subsumption_resolution,[],[f848,f828]) ).
fof(f828,plain,
~ r4_binop_1(sK4,sK7,sK8),
inference(subsumption_resolution,[],[f827,f211]) ).
fof(f827,plain,
( ~ r4_binop_1(sK4,sK7,sK8)
| ~ m2_relset_1(sK7,sF17,sK4) ),
inference(forward_demodulation,[],[f826,f203]) ).
fof(f826,plain,
( ~ m2_relset_1(sK7,k2_zfmisc_1(sK4,sK4),sK4)
| ~ r4_binop_1(sK4,sK7,sK8) ),
inference(subsumption_resolution,[],[f825,f208]) ).
fof(f208,plain,
v1_funct_2(sK8,sF17,sK4),
inference(definition_folding,[],[f158,f203]) ).
fof(f158,plain,
v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4),
inference(cnf_transformation,[],[f108]) ).
fof(f825,plain,
( ~ v1_funct_2(sK8,sF17,sK4)
| ~ m2_relset_1(sK7,k2_zfmisc_1(sK4,sK4),sK4)
| ~ r4_binop_1(sK4,sK7,sK8) ),
inference(forward_demodulation,[],[f824,f203]) ).
fof(f824,plain,
( ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ r4_binop_1(sK4,sK7,sK8)
| ~ m2_relset_1(sK7,k2_zfmisc_1(sK4,sK4),sK4) ),
inference(subsumption_resolution,[],[f823,f204]) ).
fof(f823,plain,
( ~ v1_funct_2(sK7,sF17,sK4)
| ~ r4_binop_1(sK4,sK7,sK8)
| ~ m2_relset_1(sK7,k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4) ),
inference(forward_demodulation,[],[f822,f203]) ).
fof(f822,plain,
( ~ v1_funct_2(sK7,k2_zfmisc_1(sK4,sK4),sK4)
| ~ r4_binop_1(sK4,sK7,sK8)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(sK7,k2_zfmisc_1(sK4,sK4),sK4) ),
inference(subsumption_resolution,[],[f821,f205]) ).
fof(f205,plain,
m2_relset_1(sK8,sF17,sK4),
inference(definition_folding,[],[f161,f203]) ).
fof(f161,plain,
m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4),
inference(cnf_transformation,[],[f108]) ).
fof(f821,plain,
( ~ m2_relset_1(sK7,k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(sK7,k2_zfmisc_1(sK4,sK4),sK4)
| ~ r4_binop_1(sK4,sK7,sK8)
| ~ m2_relset_1(sK8,sF17,sK4) ),
inference(forward_demodulation,[],[f820,f203]) ).
fof(f820,plain,
( ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(sK7,k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ r4_binop_1(sK4,sK7,sK8)
| ~ v1_funct_2(sK7,k2_zfmisc_1(sK4,sK4),sK4) ),
inference(subsumption_resolution,[],[f819,f162]) ).
fof(f162,plain,
v1_funct_1(sK7),
inference(cnf_transformation,[],[f108]) ).
fof(f819,plain,
( ~ m2_relset_1(sK7,k2_zfmisc_1(sK4,sK4),sK4)
| ~ r4_binop_1(sK4,sK7,sK8)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(sK7,k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_1(sK7)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4) ),
inference(subsumption_resolution,[],[f818,f156]) ).
fof(f156,plain,
v1_funct_1(sK8),
inference(cnf_transformation,[],[f108]) ).
fof(f818,plain,
( ~ v1_funct_2(sK7,k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(sK7,k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_1(sK8)
| ~ v1_funct_1(sK7)
| ~ r4_binop_1(sK4,sK7,sK8) ),
inference(subsumption_resolution,[],[f806,f155]) ).
fof(f155,plain,
~ r6_binop_1(sK4,sK7,sK8),
inference(cnf_transformation,[],[f108]) ).
fof(f806,plain,
( r6_binop_1(sK4,sK7,sK8)
| ~ v1_funct_2(sK7,k2_zfmisc_1(sK4,sK4),sK4)
| ~ r4_binop_1(sK4,sK7,sK8)
| ~ m2_relset_1(sK7,k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_1(sK8)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_1(sK7)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4) ),
inference(resolution,[],[f802,f178]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ r5_binop_1(X0,X1,X2)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ r4_binop_1(X0,X1,X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| r6_binop_1(X0,X1,X2)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ! [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)
| ~ r4_binop_1(X0,X1,X2)
| ~ r5_binop_1(X0,X1,X2) )
& ( ( r4_binop_1(X0,X1,X2)
& r5_binop_1(X0,X1,X2) )
| ~ r6_binop_1(X0,X1,X2) ) ) ) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ! [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)
| ~ r4_binop_1(X0,X1,X2)
| ~ r5_binop_1(X0,X1,X2) )
& ( ( r4_binop_1(X0,X1,X2)
& r5_binop_1(X0,X1,X2) )
| ~ r6_binop_1(X0,X1,X2) ) ) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ! [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)
<=> ( r4_binop_1(X0,X1,X2)
& r5_binop_1(X0,X1,X2) ) ) ) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( ! [X2] :
( ( r6_binop_1(X0,X1,X2)
<=> ( r4_binop_1(X0,X1,X2)
& r5_binop_1(X0,X1,X2) ) )
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0) )
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0) )
=> ! [X2] :
( ( v1_funct_1(X2)
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0) )
=> ( r6_binop_1(X0,X1,X2)
<=> ( r4_binop_1(X0,X1,X2)
& r5_binop_1(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_binop_1) ).
fof(f802,plain,
r5_binop_1(sK4,sK7,sK8),
inference(subsumption_resolution,[],[f801,f211]) ).
fof(f801,plain,
( r5_binop_1(sK4,sK7,sK8)
| ~ m2_relset_1(sK7,sF17,sK4) ),
inference(forward_demodulation,[],[f800,f217]) ).
fof(f800,plain,
( ~ m2_relset_1(k1_realset1(sK5,sK4),sF17,sK4)
| r5_binop_1(sK4,sK7,sK8) ),
inference(subsumption_resolution,[],[f799,f205]) ).
fof(f799,plain,
( r5_binop_1(sK4,sK7,sK8)
| ~ m2_relset_1(k1_realset1(sK5,sK4),sF17,sK4)
| ~ m2_relset_1(sK8,sF17,sK4) ),
inference(forward_demodulation,[],[f798,f203]) ).
fof(f798,plain,
( r5_binop_1(sK4,sK7,sK8)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(k1_realset1(sK5,sK4),sF17,sK4) ),
inference(forward_demodulation,[],[f797,f203]) ).
fof(f797,plain,
( r5_binop_1(sK4,sK7,sK8)
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4) ),
inference(subsumption_resolution,[],[f796,f204]) ).
fof(f796,plain,
( ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(sK7,sF17,sK4)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| r5_binop_1(sK4,sK7,sK8) ),
inference(forward_demodulation,[],[f795,f217]) ).
fof(f795,plain,
( ~ v1_funct_2(k1_realset1(sK5,sK4),sF17,sK4)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| r5_binop_1(sK4,sK7,sK8)
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4) ),
inference(subsumption_resolution,[],[f794,f208]) ).
fof(f794,plain,
( ~ v1_funct_2(sK8,sF17,sK4)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| r5_binop_1(sK4,sK7,sK8)
| ~ v1_funct_2(k1_realset1(sK5,sK4),sF17,sK4) ),
inference(forward_demodulation,[],[f793,f203]) ).
fof(f793,plain,
( ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| r5_binop_1(sK4,sK7,sK8)
| ~ v1_funct_2(k1_realset1(sK5,sK4),sF17,sK4) ),
inference(forward_demodulation,[],[f792,f203]) ).
fof(f792,plain,
( ~ v1_funct_2(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| r5_binop_1(sK4,sK7,sK8)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4) ),
inference(subsumption_resolution,[],[f791,f162]) ).
fof(f791,plain,
( ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_1(sK7)
| r5_binop_1(sK4,sK7,sK8)
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4) ),
inference(forward_demodulation,[],[f790,f217]) ).
fof(f790,plain,
( ~ v1_funct_1(k1_realset1(sK5,sK4))
| ~ v1_funct_2(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| r5_binop_1(sK4,sK7,sK8)
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4) ),
inference(forward_demodulation,[],[f789,f217]) ).
fof(f789,plain,
( r5_binop_1(sK4,k1_realset1(sK5,sK4),sK8)
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_1(k1_realset1(sK5,sK4))
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4) ),
inference(subsumption_resolution,[],[f788,f216]) ).
fof(f216,plain,
m1_subset_1(sK4,sF20),
inference(definition_folding,[],[f150,f215]) ).
fof(f215,plain,
k1_zfmisc_1(sK3) = sF20,
introduced(function_definition,[]) ).
fof(f150,plain,
m1_subset_1(sK4,k1_zfmisc_1(sK3)),
inference(cnf_transformation,[],[f108]) ).
fof(f788,plain,
( r5_binop_1(sK4,k1_realset1(sK5,sK4),sK8)
| ~ v1_funct_1(k1_realset1(sK5,sK4))
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ m1_subset_1(sK4,sF20)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4) ),
inference(subsumption_resolution,[],[f787,f167]) ).
fof(f167,plain,
~ v1_xboole_0(sK4),
inference(cnf_transformation,[],[f108]) ).
fof(f787,plain,
( ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| v1_xboole_0(sK4)
| r5_binop_1(sK4,k1_realset1(sK5,sK4),sK8)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_1(k1_realset1(sK5,sK4))
| ~ v1_funct_2(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ m1_subset_1(sK4,sF20) ),
inference(subsumption_resolution,[],[f786,f156]) ).
fof(f786,plain,
( ~ v1_funct_1(k1_realset1(sK5,sK4))
| ~ v1_funct_1(sK8)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| r5_binop_1(sK4,k1_realset1(sK5,sK4),sK8)
| ~ m1_subset_1(sK4,sF20)
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| v1_xboole_0(sK4) ),
inference(superposition,[],[f319,f218]) ).
fof(f218,plain,
sK8 = k1_realset1(sK6,sK4),
inference(forward_demodulation,[],[f209,f210]) ).
fof(f210,plain,
sK8 = sF19,
inference(definition_folding,[],[f157,f209]) ).
fof(f157,plain,
sK8 = k1_realset1(sK6,sK4),
inference(cnf_transformation,[],[f108]) ).
fof(f209,plain,
k1_realset1(sK6,sK4) = sF19,
introduced(function_definition,[]) ).
fof(f319,plain,
! [X0] :
( ~ v1_funct_1(k1_realset1(sK6,X0))
| ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| r5_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X0,sF20)
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f318,f214]) ).
fof(f214,plain,
v1_funct_2(sK5,sF16,sK3),
inference(definition_folding,[],[f151,f201]) ).
fof(f201,plain,
k2_zfmisc_1(sK3,sK3) = sF16,
introduced(function_definition,[]) ).
fof(f151,plain,
v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3),
inference(cnf_transformation,[],[f108]) ).
fof(f318,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| r5_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK5,sF16,sK3)
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(sK6,X0))
| ~ m1_subset_1(X0,sF20) ),
inference(forward_demodulation,[],[f317,f201]) ).
fof(f317,plain,
! [X0] :
( v1_xboole_0(X0)
| r5_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ v1_funct_1(k1_realset1(sK6,X0))
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X0,sF20)
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0) ),
inference(subsumption_resolution,[],[f316,f212]) ).
fof(f212,plain,
m2_relset_1(sK6,sF16,sK3),
inference(definition_folding,[],[f153,f201]) ).
fof(f153,plain,
m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3),
inference(cnf_transformation,[],[f108]) ).
fof(f316,plain,
! [X0] :
( ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK6,sF16,sK3)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(sK6,X0))
| r5_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,sF20) ),
inference(forward_demodulation,[],[f315,f201]) ).
fof(f315,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| r5_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m1_subset_1(X0,sF20)
| ~ v1_funct_1(k1_realset1(sK6,X0))
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(sK5,X0)) ),
inference(subsumption_resolution,[],[f314,f213]) ).
fof(f213,plain,
m2_relset_1(sK5,sF16,sK3),
inference(definition_folding,[],[f152,f201]) ).
fof(f152,plain,
m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3),
inference(cnf_transformation,[],[f108]) ).
fof(f314,plain,
! [X0] :
( ~ m2_relset_1(sK5,sF16,sK3)
| ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ v1_funct_1(k1_realset1(sK6,X0))
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X0,sF20)
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| r5_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| v1_xboole_0(X0)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3) ),
inference(forward_demodulation,[],[f313,f201]) ).
fof(f313,plain,
! [X0] :
( ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(k1_realset1(sK6,X0))
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X0,sF20)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| r5_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| v1_xboole_0(X0)
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0) ),
inference(subsumption_resolution,[],[f312,f202]) ).
fof(f202,plain,
v1_funct_2(sK6,sF16,sK3),
inference(definition_folding,[],[f165,f201]) ).
fof(f165,plain,
v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3),
inference(cnf_transformation,[],[f108]) ).
fof(f312,plain,
! [X0] :
( ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X0,sF20)
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK6,sF16,sK3)
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(k1_realset1(sK6,X0))
| v1_xboole_0(X0)
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| r5_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ v1_funct_1(k1_realset1(sK5,X0)) ),
inference(forward_demodulation,[],[f311,f201]) ).
fof(f311,plain,
! [X0] :
( ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| r5_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ v1_funct_1(k1_realset1(sK6,X0))
| ~ m1_subset_1(X0,sF20)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| v1_xboole_0(X0)
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0) ),
inference(forward_demodulation,[],[f310,f215]) ).
fof(f310,plain,
! [X0] :
( ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK3))
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(k1_realset1(sK5,X0))
| r5_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| v1_xboole_0(X0)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(sK6,X0))
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0) ),
inference(subsumption_resolution,[],[f309,f166]) ).
fof(f166,plain,
v1_funct_1(sK5),
inference(cnf_transformation,[],[f108]) ).
fof(f309,plain,
! [X0] :
( ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| r5_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(k1_realset1(sK6,X0))
| ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK3))
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK5)
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3) ),
inference(subsumption_resolution,[],[f308,f164]) ).
fof(f164,plain,
v1_funct_1(sK6),
inference(cnf_transformation,[],[f108]) ).
fof(f308,plain,
! [X0] :
( ~ v1_funct_1(sK6)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(k1_realset1(sK6,X0))
| v1_xboole_0(X0)
| r5_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK3))
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(sK5) ),
inference(subsumption_resolution,[],[f307,f149]) ).
fof(f149,plain,
~ v1_xboole_0(sK3),
inference(cnf_transformation,[],[f108]) ).
fof(f307,plain,
! [X0] :
( v1_xboole_0(sK3)
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK5)
| ~ v1_funct_1(k1_realset1(sK6,X0))
| ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ v1_funct_1(sK6)
| r5_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK3))
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f198,f294]) ).
fof(f294,plain,
r5_binop_1(sK3,sK5,sK6),
inference(subsumption_resolution,[],[f293,f214]) ).
fof(f293,plain,
( r5_binop_1(sK3,sK5,sK6)
| ~ v1_funct_2(sK5,sF16,sK3) ),
inference(forward_demodulation,[],[f292,f201]) ).
fof(f292,plain,
( ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| r5_binop_1(sK3,sK5,sK6) ),
inference(subsumption_resolution,[],[f291,f213]) ).
fof(f291,plain,
( ~ m2_relset_1(sK5,sF16,sK3)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| r5_binop_1(sK3,sK5,sK6) ),
inference(forward_demodulation,[],[f290,f201]) ).
fof(f290,plain,
( r5_binop_1(sK3,sK5,sK6)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3) ),
inference(subsumption_resolution,[],[f289,f202]) ).
fof(f289,plain,
( ~ v1_funct_2(sK6,sF16,sK3)
| r5_binop_1(sK3,sK5,sK6)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3) ),
inference(forward_demodulation,[],[f288,f201]) ).
fof(f288,plain,
( ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| r5_binop_1(sK3,sK5,sK6)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3) ),
inference(subsumption_resolution,[],[f287,f212]) ).
fof(f287,plain,
( r5_binop_1(sK3,sK5,sK6)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK6,sF16,sK3)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3) ),
inference(forward_demodulation,[],[f286,f201]) ).
fof(f286,plain,
( ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| r5_binop_1(sK3,sK5,sK6)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3) ),
inference(subsumption_resolution,[],[f285,f164]) ).
fof(f285,plain,
( r5_binop_1(sK3,sK5,sK6)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(sK6)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3) ),
inference(subsumption_resolution,[],[f284,f166]) ).
fof(f284,plain,
( ~ v1_funct_1(sK5)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(sK6)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| r5_binop_1(sK3,sK5,sK6) ),
inference(resolution,[],[f176,f160]) ).
fof(f160,plain,
r6_binop_1(sK3,sK5,sK6),
inference(cnf_transformation,[],[f108]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ r6_binop_1(X0,X1,X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| r5_binop_1(X0,X1,X2)
| ~ 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)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f198,plain,
! [X2,X3,X0,X1] :
( ~ r5_binop_1(X0,X2,X3)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,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)
| r5_binop_1(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(X0)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v1_funct_1(k1_realset1(X3,X1))
| v1_xboole_0(X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3) ),
inference(equality_resolution,[],[f197]) ).
fof(f197,plain,
! [X2,X3,X0,X1,X5] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| k1_realset1(X3,X1) != X5
| ~ v1_funct_1(X5)
| ~ r5_binop_1(X0,X2,X3)
| r5_binop_1(X1,k1_realset1(X2,X1),X5)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| k1_realset1(X2,X1) != X4
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| k1_realset1(X3,X1) != X5
| ~ v1_funct_1(X5)
| ~ r5_binop_1(X0,X2,X3)
| r5_binop_1(X1,X4,X5)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ! [X3] :
( ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ! [X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| k1_realset1(X2,X1) != X4
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| k1_realset1(X3,X1) != X5
| ~ v1_funct_1(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) ) ) )
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0) )
| ~ v1_funct_1(X2) ) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,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
| ~ 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_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(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) )
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ! [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] :
( ( v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3)
& m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0) )
=> ! [X4] :
( ( v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
=> ! [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) )
=> ( ( 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/sandbox2/benchmark/theBenchmark.p',t3_filter_2) ).
fof(f848,plain,
( ~ v1_funct_2(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| r4_binop_1(sK4,sK7,sK8)
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4) ),
inference(forward_demodulation,[],[f847,f217]) ).
fof(f847,plain,
( r4_binop_1(sK4,k1_realset1(sK5,sK4),sK8)
| ~ v1_funct_2(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4) ),
inference(subsumption_resolution,[],[f846,f205]) ).
fof(f846,plain,
( ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| r4_binop_1(sK4,k1_realset1(sK5,sK4),sK8)
| ~ m2_relset_1(sK8,sF17,sK4) ),
inference(forward_demodulation,[],[f845,f203]) ).
fof(f845,plain,
( ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| r4_binop_1(sK4,k1_realset1(sK5,sK4),sK8)
| ~ v1_funct_2(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4) ),
inference(subsumption_resolution,[],[f844,f208]) ).
fof(f844,plain,
( r4_binop_1(sK4,k1_realset1(sK5,sK4),sK8)
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(sK8,sF17,sK4) ),
inference(forward_demodulation,[],[f843,f203]) ).
fof(f843,plain,
( ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| r4_binop_1(sK4,k1_realset1(sK5,sK4),sK8) ),
inference(subsumption_resolution,[],[f842,f162]) ).
fof(f842,plain,
( ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| r4_binop_1(sK4,k1_realset1(sK5,sK4),sK8)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_1(sK7) ),
inference(forward_demodulation,[],[f841,f217]) ).
fof(f841,plain,
( ~ v1_funct_1(k1_realset1(sK5,sK4))
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| r4_binop_1(sK4,k1_realset1(sK5,sK4),sK8)
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4) ),
inference(subsumption_resolution,[],[f840,f156]) ).
fof(f840,plain,
( ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_1(sK8)
| ~ v1_funct_1(k1_realset1(sK5,sK4))
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| r4_binop_1(sK4,k1_realset1(sK5,sK4),sK8)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4) ),
inference(subsumption_resolution,[],[f839,f216]) ).
fof(f839,plain,
( ~ m1_subset_1(sK4,sF20)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_1(k1_realset1(sK5,sK4))
| ~ v1_funct_2(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| r4_binop_1(sK4,k1_realset1(sK5,sK4),sK8)
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_1(sK8) ),
inference(subsumption_resolution,[],[f838,f167]) ).
fof(f838,plain,
( ~ v1_funct_2(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(k1_realset1(sK5,sK4),k2_zfmisc_1(sK4,sK4),sK4)
| v1_xboole_0(sK4)
| ~ v1_funct_2(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ m2_relset_1(sK8,k2_zfmisc_1(sK4,sK4),sK4)
| ~ v1_funct_1(k1_realset1(sK5,sK4))
| r4_binop_1(sK4,k1_realset1(sK5,sK4),sK8)
| ~ m1_subset_1(sK4,sF20)
| ~ v1_funct_1(sK8) ),
inference(superposition,[],[f337,f218]) ).
fof(f337,plain,
! [X0] :
( ~ v1_funct_1(k1_realset1(sK6,X0))
| r4_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X0,sF20)
| v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f336,f214]) ).
fof(f336,plain,
! [X0] :
( r4_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK5,sF16,sK3)
| ~ v1_funct_1(k1_realset1(sK6,X0))
| ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X0,sF20) ),
inference(forward_demodulation,[],[f335,f201]) ).
fof(f335,plain,
! [X0] :
( ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(sK6,X0))
| r4_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X0,sF20) ),
inference(subsumption_resolution,[],[f334,f213]) ).
fof(f334,plain,
! [X0] :
( ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,sF20)
| ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ m2_relset_1(sK5,sF16,sK3)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| r4_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(sK6,X0)) ),
inference(forward_demodulation,[],[f333,f201]) ).
fof(f333,plain,
! [X0] :
( ~ m1_subset_1(X0,sF20)
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| r4_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ v1_funct_1(k1_realset1(sK6,X0)) ),
inference(subsumption_resolution,[],[f332,f212]) ).
fof(f332,plain,
! [X0] :
( ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| r4_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ m1_subset_1(X0,sF20)
| v1_xboole_0(X0)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK6,sF16,sK3)
| ~ v1_funct_1(k1_realset1(sK6,X0)) ),
inference(forward_demodulation,[],[f331,f201]) ).
fof(f331,plain,
! [X0] :
( ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(sK6,X0))
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| r4_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X0,sF20) ),
inference(forward_demodulation,[],[f330,f215]) ).
fof(f330,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK3))
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(sK6,X0))
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| r4_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(sK5,X0)) ),
inference(subsumption_resolution,[],[f329,f202]) ).
fof(f329,plain,
! [X0] :
( ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK6,sF16,sK3)
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| r4_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK3))
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(k1_realset1(sK6,X0)) ),
inference(forward_demodulation,[],[f328,f201]) ).
fof(f328,plain,
! [X0] :
( ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(sK6,X0))
| r4_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| v1_xboole_0(X0)
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK3)) ),
inference(subsumption_resolution,[],[f327,f149]) ).
fof(f327,plain,
! [X0] :
( ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK3)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| r4_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| v1_xboole_0(X0)
| ~ v1_funct_1(k1_realset1(sK6,X0))
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK3))
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3) ),
inference(subsumption_resolution,[],[f326,f166]) ).
fof(f326,plain,
! [X0] :
( ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(k1_realset1(sK6,X0))
| ~ v1_funct_1(k1_realset1(sK5,X0))
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK5)
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK3))
| r4_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| v1_xboole_0(sK3) ),
inference(subsumption_resolution,[],[f325,f164]) ).
fof(f325,plain,
! [X0] :
( ~ v1_funct_1(sK6)
| ~ v1_funct_1(k1_realset1(sK5,X0))
| v1_xboole_0(sK3)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK3))
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(k1_realset1(sK5,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0)
| r4_binop_1(X0,k1_realset1(sK5,X0),k1_realset1(sK6,X0))
| ~ v1_funct_1(sK5)
| ~ v1_funct_1(k1_realset1(sK6,X0))
| ~ v1_funct_2(k1_realset1(sK6,X0),k2_zfmisc_1(X0,X0),X0) ),
inference(resolution,[],[f200,f305]) ).
fof(f305,plain,
r4_binop_1(sK3,sK5,sK6),
inference(subsumption_resolution,[],[f304,f202]) ).
fof(f304,plain,
( ~ v1_funct_2(sK6,sF16,sK3)
| r4_binop_1(sK3,sK5,sK6) ),
inference(forward_demodulation,[],[f303,f201]) ).
fof(f303,plain,
( ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| r4_binop_1(sK3,sK5,sK6) ),
inference(subsumption_resolution,[],[f302,f214]) ).
fof(f302,plain,
( ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| r4_binop_1(sK3,sK5,sK6)
| ~ v1_funct_2(sK5,sF16,sK3) ),
inference(forward_demodulation,[],[f301,f201]) ).
fof(f301,plain,
( ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| r4_binop_1(sK3,sK5,sK6) ),
inference(subsumption_resolution,[],[f300,f212]) ).
fof(f300,plain,
( r4_binop_1(sK3,sK5,sK6)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK6,sF16,sK3) ),
inference(forward_demodulation,[],[f299,f201]) ).
fof(f299,plain,
( ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| r4_binop_1(sK3,sK5,sK6)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3) ),
inference(subsumption_resolution,[],[f298,f213]) ).
fof(f298,plain,
( r4_binop_1(sK3,sK5,sK6)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK5,sF16,sK3)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3) ),
inference(forward_demodulation,[],[f297,f201]) ).
fof(f297,plain,
( ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| r4_binop_1(sK3,sK5,sK6)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3) ),
inference(subsumption_resolution,[],[f296,f164]) ).
fof(f296,plain,
( ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(sK6)
| r4_binop_1(sK3,sK5,sK6) ),
inference(subsumption_resolution,[],[f295,f166]) ).
fof(f295,plain,
( ~ v1_funct_1(sK5)
| ~ v1_funct_1(sK6)
| ~ v1_funct_2(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK6,k2_zfmisc_1(sK3,sK3),sK3)
| r4_binop_1(sK3,sK5,sK6)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK3,sK3),sK3) ),
inference(resolution,[],[f177,f160]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ~ r6_binop_1(X0,X1,X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| r4_binop_1(X0,X1,X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f118]) ).
fof(f200,plain,
! [X2,X3,X0,X1] :
( ~ r4_binop_1(X0,X2,X3)
| ~ v1_funct_1(k1_realset1(X2,X1))
| r4_binop_1(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ v1_funct_1(k1_realset1(X3,X1))
| v1_xboole_0(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2) ),
inference(equality_resolution,[],[f199]) ).
fof(f199,plain,
! [X2,X3,X0,X1,X5] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| k1_realset1(X3,X1) != X5
| ~ v1_funct_1(X5)
| r4_binop_1(X1,k1_realset1(X2,X1),X5)
| ~ r4_binop_1(X0,X2,X3)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f142]) ).
fof(f142,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| k1_realset1(X2,X1) != X4
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| k1_realset1(X3,X1) != X5
| ~ v1_funct_1(X5)
| r4_binop_1(X1,X4,X5)
| ~ r4_binop_1(X0,X2,X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT294+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n004.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 : Tue Aug 30 00:58:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (3132)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50 % (3140)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50 % (3121)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.51 % (3141)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.51 % (3138)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51 % (3123)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 % (3130)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (3128)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (3133)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (3148)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 % (3126)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52 TRYING [2]
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (3149)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (3122)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (3128)Instruction limit reached!
% 0.20/0.53 % (3128)------------------------------
% 0.20/0.53 % (3128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (3128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (3128)Termination reason: Unknown
% 0.20/0.53 % (3128)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (3128)Memory used [KB]: 5628
% 0.20/0.53 % (3128)Time elapsed: 0.130 s
% 0.20/0.53 % (3128)Instructions burned: 7 (million)
% 0.20/0.53 % (3128)------------------------------
% 0.20/0.53 % (3128)------------------------------
% 0.20/0.53 % (3143)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53 TRYING [2]
% 0.20/0.53 TRYING [3]
% 0.20/0.54 % (3124)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (3144)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.54 % (3135)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 TRYING [4]
% 0.20/0.54 % (3147)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (3123)Instruction limit reached!
% 0.20/0.54 % (3123)------------------------------
% 0.20/0.54 % (3123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (3129)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (3129)Instruction limit reached!
% 0.20/0.54 % (3129)------------------------------
% 0.20/0.54 % (3129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (3129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (3129)Termination reason: Unknown
% 0.20/0.54 % (3129)Termination phase: Preprocessing 3
% 0.20/0.54
% 0.20/0.54 % (3129)Memory used [KB]: 895
% 0.20/0.54 % (3129)Time elapsed: 0.003 s
% 0.20/0.54 % (3129)Instructions burned: 2 (million)
% 0.20/0.54 % (3129)------------------------------
% 0.20/0.54 % (3129)------------------------------
% 0.20/0.54 % (3136)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.54 % (3139)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (3127)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (3131)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 % (3148)First to succeed.
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (3146)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55 % (3137)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56 TRYING [4]
% 0.20/0.56 % (3122)Refutation not found, incomplete strategy% (3122)------------------------------
% 0.20/0.56 % (3122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (3122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (3122)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (3122)Memory used [KB]: 5628
% 0.20/0.56 % (3122)Time elapsed: 0.133 s
% 0.20/0.56 % (3122)Instructions burned: 13 (million)
% 0.20/0.56 % (3122)------------------------------
% 0.20/0.56 % (3122)------------------------------
% 0.20/0.56 % (3125)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (3123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (3123)Termination reason: Unknown
% 0.20/0.56 % (3123)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (3123)Memory used [KB]: 1279
% 0.20/0.56 % (3123)Time elapsed: 0.130 s
% 0.20/0.56 % (3123)Instructions burned: 37 (million)
% 0.20/0.56 % (3123)------------------------------
% 0.20/0.56 % (3123)------------------------------
% 0.20/0.57 % (3145)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.57 % (3142)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.57 % (3148)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (3148)------------------------------
% 0.20/0.57 % (3148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (3148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (3148)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (3148)Memory used [KB]: 1663
% 0.20/0.57 % (3148)Time elapsed: 0.153 s
% 0.20/0.57 % (3148)Instructions burned: 35 (million)
% 0.20/0.57 % (3148)------------------------------
% 0.20/0.57 % (3148)------------------------------
% 0.20/0.57 % (3117)Success in time 0.21 s
%------------------------------------------------------------------------------