TSTP Solution File: SEU425+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU425+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 : n008.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 18:30:14 EDT 2022
% Result : Theorem 0.15s 0.52s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of formulae : 92 ( 19 unt; 0 def)
% Number of atoms : 304 ( 86 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 342 ( 130 ~; 124 |; 45 &)
% ( 18 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 6 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 167 ( 154 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f641,plain,
$false,
inference(avatar_sat_refutation,[],[f225,f446,f634,f635,f638,f639]) ).
fof(f639,plain,
( spl13_9
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f517,f222,f485]) ).
fof(f485,plain,
( spl13_9
<=> k1_zfmisc_1(sK11) = k4_relset_1(k1_zfmisc_1(sK11),k1_zfmisc_1(k2_relat_1(sK10)),k5_relset_2(sK11,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f222,plain,
( spl13_3
<=> m2_relset_1(k5_relset_2(sK11,sK10),k1_zfmisc_1(sK11),k1_zfmisc_1(k2_relat_1(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f517,plain,
( k1_zfmisc_1(sK11) = k4_relset_1(k1_zfmisc_1(sK11),k1_zfmisc_1(k2_relat_1(sK10)),k5_relset_2(sK11,sK10))
| ~ spl13_3 ),
inference(forward_demodulation,[],[f509,f416]) ).
fof(f416,plain,
! [X0] : k1_zfmisc_1(X0) = k1_relat_1(k5_relset_2(X0,sK10)),
inference(subsumption_resolution,[],[f415,f231]) ).
fof(f231,plain,
v1_relat_1(sK10),
inference(resolution,[],[f201,f165]) ).
fof(f165,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| v1_relat_1(X2) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X0,X2,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
| v1_relat_1(X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
! [X2,X1,X0] :
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
=> v1_relat_1(X1) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X2,X0] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f201,plain,
m1_subset_1(sK10,k1_zfmisc_1(k2_zfmisc_1(sK11,sK12))),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( ~ v1_funct_2(k5_relset_2(sK11,sK10),k1_zfmisc_1(sK11),k1_zfmisc_1(k2_relat_1(sK10)))
| ~ v1_funct_1(k5_relset_2(sK11,sK10))
| ~ m2_relset_1(k5_relset_2(sK11,sK10),k1_zfmisc_1(sK11),k1_zfmisc_1(k2_relat_1(sK10))) )
& m1_subset_1(sK10,k1_zfmisc_1(k2_zfmisc_1(sK11,sK12))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f140,f141]) ).
fof(f141,plain,
( ? [X0,X1,X2] :
( ( ~ v1_funct_2(k5_relset_2(X1,X0),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X0)))
| ~ v1_funct_1(k5_relset_2(X1,X0))
| ~ m2_relset_1(k5_relset_2(X1,X0),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X0))) )
& m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> ( ( ~ v1_funct_2(k5_relset_2(sK11,sK10),k1_zfmisc_1(sK11),k1_zfmisc_1(k2_relat_1(sK10)))
| ~ v1_funct_1(k5_relset_2(sK11,sK10))
| ~ m2_relset_1(k5_relset_2(sK11,sK10),k1_zfmisc_1(sK11),k1_zfmisc_1(k2_relat_1(sK10))) )
& m1_subset_1(sK10,k1_zfmisc_1(k2_zfmisc_1(sK11,sK12))) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
? [X0,X1,X2] :
( ( ~ v1_funct_2(k5_relset_2(X1,X0),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X0)))
| ~ v1_funct_1(k5_relset_2(X1,X0))
| ~ m2_relset_1(k5_relset_2(X1,X0),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X0))) )
& m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
? [X0,X2,X1] :
( ( ~ v1_funct_2(k5_relset_2(X2,X0),k1_zfmisc_1(X2),k1_zfmisc_1(k2_relat_1(X0)))
| ~ v1_funct_1(k5_relset_2(X2,X0))
| ~ m2_relset_1(k5_relset_2(X2,X0),k1_zfmisc_1(X2),k1_zfmisc_1(k2_relat_1(X0))) )
& m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
~ ! [X0,X1,X2] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
=> ( v1_funct_1(k5_relset_2(X2,X0))
& v1_funct_2(k5_relset_2(X2,X0),k1_zfmisc_1(X2),k1_zfmisc_1(k2_relat_1(X0)))
& m2_relset_1(k5_relset_2(X2,X0),k1_zfmisc_1(X2),k1_zfmisc_1(k2_relat_1(X0))) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X2,X1,X0] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( v1_funct_1(k5_relset_2(X0,X2))
& v1_funct_2(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
& m2_relset_1(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2))) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X2,X1,X0] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( v1_funct_1(k5_relset_2(X0,X2))
& v1_funct_2(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
& m2_relset_1(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_relset_2) ).
fof(f415,plain,
! [X0] :
( k1_zfmisc_1(X0) = k1_relat_1(k5_relset_2(X0,sK10))
| ~ v1_relat_1(sK10) ),
inference(subsumption_resolution,[],[f408,f245]) ).
fof(f245,plain,
! [X0] : v1_relat_1(k5_relset_2(X0,sK10)),
inference(unit_resulting_resolution,[],[f231,f149]) ).
fof(f149,plain,
! [X0,X1] :
( v1_relat_1(k5_relset_2(X1,X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ( v1_relat_1(k5_relset_2(X1,X0))
& v1_funct_1(k5_relset_2(X1,X0)) )
| ~ v1_relat_1(X0) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X1,X0] :
( ( v1_relat_1(k5_relset_2(X0,X1))
& v1_funct_1(k5_relset_2(X0,X1)) )
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( v1_relat_1(k5_relset_2(X0,X1))
& v1_funct_1(k5_relset_2(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relset_2) ).
fof(f408,plain,
! [X0] :
( k1_zfmisc_1(X0) = k1_relat_1(k5_relset_2(X0,sK10))
| ~ v1_relat_1(k5_relset_2(X0,sK10))
| ~ v1_relat_1(sK10) ),
inference(resolution,[],[f244,f207]) ).
fof(f207,plain,
! [X0,X1] :
( ~ v1_relat_1(k5_relset_2(X1,X0))
| ~ v1_funct_1(k5_relset_2(X1,X0))
| ~ v1_relat_1(X0)
| k1_zfmisc_1(X1) = k1_relat_1(k5_relset_2(X1,X0)) ),
inference(equality_resolution,[],[f161]) ).
fof(f161,plain,
! [X2,X0,X1] :
( k1_relat_1(X2) = k1_zfmisc_1(X1)
| k5_relset_2(X1,X0) != X2
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( ! [X2] :
( ( ( k5_relset_2(X1,X0) = X2
| ( r1_tarski(sK5(X0,X1,X2),X1)
& k1_funct_1(X2,sK5(X0,X1,X2)) != k9_relat_1(X0,sK5(X0,X1,X2)) )
| k1_relat_1(X2) != k1_zfmisc_1(X1) )
& ( ( ! [X4] :
( ~ r1_tarski(X4,X1)
| k1_funct_1(X2,X4) = k9_relat_1(X0,X4) )
& k1_relat_1(X2) = k1_zfmisc_1(X1) )
| k5_relset_2(X1,X0) != X2 ) )
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f119,f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ? [X3] :
( r1_tarski(X3,X1)
& k1_funct_1(X2,X3) != k9_relat_1(X0,X3) )
=> ( r1_tarski(sK5(X0,X1,X2),X1)
& k1_funct_1(X2,sK5(X0,X1,X2)) != k9_relat_1(X0,sK5(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0,X1] :
( ! [X2] :
( ( ( k5_relset_2(X1,X0) = X2
| ? [X3] :
( r1_tarski(X3,X1)
& k1_funct_1(X2,X3) != k9_relat_1(X0,X3) )
| k1_relat_1(X2) != k1_zfmisc_1(X1) )
& ( ( ! [X4] :
( ~ r1_tarski(X4,X1)
| k1_funct_1(X2,X4) = k9_relat_1(X0,X4) )
& k1_relat_1(X2) = k1_zfmisc_1(X1) )
| k5_relset_2(X1,X0) != X2 ) )
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X0) ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
! [X1,X0] :
( ! [X2] :
( ( ( k5_relset_2(X0,X1) = X2
| ? [X3] :
( r1_tarski(X3,X0)
& k1_funct_1(X2,X3) != k9_relat_1(X1,X3) )
| k1_zfmisc_1(X0) != k1_relat_1(X2) )
& ( ( ! [X3] :
( ~ r1_tarski(X3,X0)
| k1_funct_1(X2,X3) = k9_relat_1(X1,X3) )
& k1_zfmisc_1(X0) = k1_relat_1(X2) )
| k5_relset_2(X0,X1) != X2 ) )
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X1,X0] :
( ! [X2] :
( ( ( k5_relset_2(X0,X1) = X2
| ? [X3] :
( r1_tarski(X3,X0)
& k1_funct_1(X2,X3) != k9_relat_1(X1,X3) )
| k1_zfmisc_1(X0) != k1_relat_1(X2) )
& ( ( ! [X3] :
( ~ r1_tarski(X3,X0)
| k1_funct_1(X2,X3) = k9_relat_1(X1,X3) )
& k1_zfmisc_1(X0) = k1_relat_1(X2) )
| k5_relset_2(X0,X1) != X2 ) )
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(nnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X1,X0] :
( ! [X2] :
( ( k5_relset_2(X0,X1) = X2
<=> ( ! [X3] :
( ~ r1_tarski(X3,X0)
| k1_funct_1(X2,X3) = k9_relat_1(X1,X3) )
& k1_zfmisc_1(X0) = k1_relat_1(X2) ) )
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X1,X0] :
( ! [X2] :
( ( k5_relset_2(X0,X1) = X2
<=> ( ! [X3] :
( ~ r1_tarski(X3,X0)
| k1_funct_1(X2,X3) = k9_relat_1(X1,X3) )
& k1_zfmisc_1(X0) = k1_relat_1(X2) ) )
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) )
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( v1_relat_1(X1)
=> ! [X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ( ( k1_zfmisc_1(X0) = k1_relat_1(X2)
& ! [X3] :
( r1_tarski(X3,X0)
=> k1_funct_1(X2,X3) = k9_relat_1(X1,X3) ) )
<=> k5_relset_2(X0,X1) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_relset_2) ).
fof(f244,plain,
! [X0] : v1_funct_1(k5_relset_2(X0,sK10)),
inference(unit_resulting_resolution,[],[f231,f148]) ).
fof(f148,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| v1_funct_1(k5_relset_2(X1,X0)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f509,plain,
( k1_relat_1(k5_relset_2(sK11,sK10)) = k4_relset_1(k1_zfmisc_1(sK11),k1_zfmisc_1(k2_relat_1(sK10)),k5_relset_2(sK11,sK10))
| ~ spl13_3 ),
inference(unit_resulting_resolution,[],[f479,f198]) ).
fof(f198,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X0,X2,X1)
| k1_relat_1(X0) = k4_relset_1(X2,X1,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X0,X2,X1)
| k1_relat_1(X0) = k4_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X2,X1] :
( m1_relset_1(X0,X2,X1)
=> k1_relat_1(X0) = k4_relset_1(X2,X1,X0) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X2,X1,X0] :
( m1_relset_1(X2,X0,X1)
=> k4_relset_1(X0,X1,X2) = k1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f479,plain,
( m1_relset_1(k5_relset_2(sK11,sK10),k1_zfmisc_1(sK11),k1_zfmisc_1(k2_relat_1(sK10)))
| ~ spl13_3 ),
inference(resolution,[],[f223,f181]) ).
fof(f181,plain,
! [X2,X0,X1] :
( m1_relset_1(X1,X2,X0)
| ~ m2_relset_1(X1,X2,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ( m1_relset_1(X1,X2,X0)
| ~ m2_relset_1(X1,X2,X0) )
& ( m2_relset_1(X1,X2,X0)
| ~ m1_relset_1(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( m1_relset_1(X1,X2,X0)
<=> m2_relset_1(X1,X2,X0) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X1,X2,X0] :
( m1_relset_1(X2,X0,X1)
<=> m2_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f223,plain,
( m2_relset_1(k5_relset_2(sK11,sK10),k1_zfmisc_1(sK11),k1_zfmisc_1(k2_relat_1(sK10)))
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f638,plain,
spl13_2,
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f637,plain,
( $false
| spl13_2 ),
inference(subsumption_resolution,[],[f220,f244]) ).
fof(f220,plain,
( ~ v1_funct_1(k5_relset_2(sK11,sK10))
| spl13_2 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f218,plain,
( spl13_2
<=> v1_funct_1(k5_relset_2(sK11,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f635,plain,
( spl13_1
| ~ spl13_9
| spl13_10
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f477,f222,f489,f485,f214]) ).
fof(f214,plain,
( spl13_1
<=> v1_funct_2(k5_relset_2(sK11,sK10),k1_zfmisc_1(sK11),k1_zfmisc_1(k2_relat_1(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f489,plain,
( spl13_10
<=> k1_xboole_0 = k1_zfmisc_1(k2_relat_1(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f477,plain,
( k1_xboole_0 = k1_zfmisc_1(k2_relat_1(sK10))
| k1_zfmisc_1(sK11) != k4_relset_1(k1_zfmisc_1(sK11),k1_zfmisc_1(k2_relat_1(sK10)),k5_relset_2(sK11,sK10))
| v1_funct_2(k5_relset_2(sK11,sK10),k1_zfmisc_1(sK11),k1_zfmisc_1(k2_relat_1(sK10)))
| ~ spl13_3 ),
inference(resolution,[],[f223,f189]) ).
fof(f189,plain,
! [X2,X0,X1] :
( k1_xboole_0 = X2
| k4_relset_1(X0,X2,X1) != X0
| ~ m2_relset_1(X1,X0,X2)
| v1_funct_2(X1,X0,X2) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ( ( ( ( v1_funct_2(X1,X0,X2)
| k1_xboole_0 != X1 )
& ( k1_xboole_0 = X1
| ~ v1_funct_2(X1,X0,X2) ) )
| k1_xboole_0 = X0
| k1_xboole_0 != X2 )
& ( ( ( k4_relset_1(X0,X2,X1) = X0
| ~ v1_funct_2(X1,X0,X2) )
& ( v1_funct_2(X1,X0,X2)
| k4_relset_1(X0,X2,X1) != X0 ) )
| ( k1_xboole_0 != X0
& k1_xboole_0 = X2 ) ) )
| ~ m2_relset_1(X1,X0,X2) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( ( ( v1_funct_2(X1,X0,X2)
<=> k1_xboole_0 = X1 )
| k1_xboole_0 = X0
| k1_xboole_0 != X2 )
& ( ( k4_relset_1(X0,X2,X1) = X0
<=> v1_funct_2(X1,X0,X2) )
| ( k1_xboole_0 != X0
& k1_xboole_0 = X2 ) ) )
| ~ m2_relset_1(X1,X0,X2) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X1,X2,X0] :
( ( ( ( v1_funct_2(X1,X0,X2)
<=> k1_xboole_0 = X1 )
| k1_xboole_0 = X0
| k1_xboole_0 != X2 )
& ( ( k4_relset_1(X0,X2,X1) = X0
<=> v1_funct_2(X1,X0,X2) )
| ( k1_xboole_0 != X0
& k1_xboole_0 = X2 ) ) )
| ~ m2_relset_1(X1,X0,X2) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X2,X0] :
( m2_relset_1(X1,X0,X2)
=> ( ( k1_xboole_0 = X2
=> ( ( v1_funct_2(X1,X0,X2)
<=> k1_xboole_0 = X1 )
| k1_xboole_0 = X0 ) )
& ( ( k1_xboole_0 = X2
=> k1_xboole_0 = X0 )
=> ( k4_relset_1(X0,X2,X1) = X0
<=> v1_funct_2(X1,X0,X2) ) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X2,X1] :
( m2_relset_1(X2,X0,X1)
=> ( ( k1_xboole_0 = X1
=> ( ( v1_funct_2(X2,X0,X1)
<=> k1_xboole_0 = X2 )
| k1_xboole_0 = X0 ) )
& ( ( k1_xboole_0 = X1
=> k1_xboole_0 = X0 )
=> ( v1_funct_2(X2,X0,X1)
<=> k4_relset_1(X0,X1,X2) = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_2) ).
fof(f634,plain,
~ spl13_10,
inference(avatar_contradiction_clause,[],[f633]) ).
fof(f633,plain,
( $false
| ~ spl13_10 ),
inference(subsumption_resolution,[],[f629,f176]) ).
fof(f176,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
( v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f629,plain,
( ~ v1_xboole_0(k1_xboole_0)
| ~ spl13_10 ),
inference(superposition,[],[f175,f491]) ).
fof(f491,plain,
( k1_xboole_0 = k1_zfmisc_1(k2_relat_1(sK10))
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f175,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f446,plain,
spl13_3,
inference(avatar_split_clause,[],[f445,f222]) ).
fof(f445,plain,
m2_relset_1(k5_relset_2(sK11,sK10),k1_zfmisc_1(sK11),k1_zfmisc_1(k2_relat_1(sK10))),
inference(forward_demodulation,[],[f428,f416]) ).
fof(f428,plain,
m2_relset_1(k5_relset_2(sK11,sK10),k1_relat_1(k5_relset_2(sK11,sK10)),k1_zfmisc_1(k2_relat_1(sK10))),
inference(unit_resulting_resolution,[],[f226,f183,f245,f179]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| m2_relset_1(X0,X1,X2)
| ~ r1_tarski(k1_relat_1(X0),X1)
| ~ r1_tarski(k2_relat_1(X0),X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ r1_tarski(k1_relat_1(X0),X1)
| m2_relset_1(X0,X1,X2)
| ~ r1_tarski(k2_relat_1(X0),X2)
| ~ v1_relat_1(X0) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k1_relat_1(X2),X0)
| m2_relset_1(X2,X0,X1)
| ~ r1_tarski(k2_relat_1(X2),X1)
| ~ v1_relat_1(X2) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X2,X1] :
( m2_relset_1(X2,X0,X1)
| ~ r1_tarski(k1_relat_1(X2),X0)
| ~ r1_tarski(k2_relat_1(X2),X1)
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X2,X1] :
( v1_relat_1(X2)
=> ( ( r1_tarski(k1_relat_1(X2),X0)
& r1_tarski(k2_relat_1(X2),X1) )
=> m2_relset_1(X2,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_relset_1) ).
fof(f183,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X1] : r1_tarski(X1,X1),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X1,X0] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f226,plain,
r1_tarski(k2_relat_1(k5_relset_2(sK11,sK10)),k1_zfmisc_1(k2_relat_1(sK10))),
inference(unit_resulting_resolution,[],[f201,f150]) ).
fof(f150,plain,
! [X2,X0,X1] :
( r1_tarski(k2_relat_1(k5_relset_2(X0,X2)),k1_zfmisc_1(k2_relat_1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( r1_tarski(k2_relat_1(k5_relset_2(X0,X2)),k1_zfmisc_1(k2_relat_1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
! [X1,X2,X0] :
( r1_tarski(k2_relat_1(k5_relset_2(X1,X0)),k1_zfmisc_1(k2_relat_1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X1,X2,X0] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> r1_tarski(k2_relat_1(k5_relset_2(X1,X0)),k1_zfmisc_1(k2_relat_1(X0))) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> r1_tarski(k2_relat_1(k5_relset_2(X0,X2)),k1_zfmisc_1(k2_relat_1(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_relset_2) ).
fof(f225,plain,
( ~ spl13_1
| ~ spl13_2
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f202,f222,f218,f214]) ).
fof(f202,plain,
( ~ m2_relset_1(k5_relset_2(sK11,sK10),k1_zfmisc_1(sK11),k1_zfmisc_1(k2_relat_1(sK10)))
| ~ v1_funct_1(k5_relset_2(sK11,sK10))
| ~ v1_funct_2(k5_relset_2(sK11,sK10),k1_zfmisc_1(sK11),k1_zfmisc_1(k2_relat_1(sK10))) ),
inference(cnf_transformation,[],[f142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SEU425+1 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30 % Computer : n008.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 15:36:10 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.46 % (30065)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)
% 0.15/0.46 % (30065)Instruction limit reached!
% 0.15/0.46 % (30065)------------------------------
% 0.15/0.46 % (30065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.46 % (30065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.46 % (30065)Termination reason: Unknown
% 0.15/0.46 % (30065)Termination phase: Clausification
% 0.15/0.46
% 0.15/0.46 % (30065)Memory used [KB]: 1535
% 0.15/0.46 % (30065)Time elapsed: 0.003 s
% 0.15/0.46 % (30065)Instructions burned: 3 (million)
% 0.15/0.46 % (30065)------------------------------
% 0.15/0.46 % (30065)------------------------------
% 0.15/0.46 % (30057)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)
% 0.15/0.47 % (30066)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)
% 0.15/0.47 % (30051)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.15/0.48 % (30074)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)
% 0.15/0.48 % (30074)Refutation not found, incomplete strategy% (30074)------------------------------
% 0.15/0.48 % (30074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (30073)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)
% 0.15/0.48 % (30066)Instruction limit reached!
% 0.15/0.48 % (30066)------------------------------
% 0.15/0.48 % (30066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (30074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (30074)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.48
% 0.15/0.48 % (30074)Memory used [KB]: 1663
% 0.15/0.48 % (30074)Time elapsed: 0.072 s
% 0.15/0.48 % (30074)Instructions burned: 5 (million)
% 0.15/0.48 % (30074)------------------------------
% 0.15/0.48 % (30074)------------------------------
% 0.15/0.49 % (30058)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)
% 0.15/0.49 % (30059)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)
% 0.15/0.49 % (30066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (30066)Termination reason: Unknown
% 0.15/0.49 % (30066)Termination phase: Saturation
% 0.15/0.49
% 0.15/0.49 % (30066)Memory used [KB]: 6140
% 0.15/0.49 % (30066)Time elapsed: 0.074 s
% 0.15/0.49 % (30066)Instructions burned: 8 (million)
% 0.15/0.49 % (30066)------------------------------
% 0.15/0.49 % (30066)------------------------------
% 0.15/0.49 % (30061)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)
% 0.15/0.49 % (30052)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.15/0.49 % (30060)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)
% 0.15/0.49 % (30062)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)
% 0.15/0.49 % (30052)Refutation not found, incomplete strategy% (30052)------------------------------
% 0.15/0.49 % (30052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (30052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (30052)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.49
% 0.15/0.49 % (30052)Memory used [KB]: 6012
% 0.15/0.49 % (30052)Time elapsed: 0.129 s
% 0.15/0.49 % (30052)Instructions burned: 4 (million)
% 0.15/0.49 % (30052)------------------------------
% 0.15/0.49 % (30052)------------------------------
% 0.15/0.51 % (30056)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.51 % (30053)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)
% 0.15/0.51 % (30071)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.15/0.51 % (30055)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.15/0.51 % (30054)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.51 % (30063)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)
% 0.15/0.51 % (30058)First to succeed.
% 0.15/0.51 % (30061)Refutation not found, incomplete strategy% (30061)------------------------------
% 0.15/0.51 % (30061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (30061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (30061)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.51
% 0.15/0.51 % (30061)Memory used [KB]: 6012
% 0.15/0.51 % (30061)Time elapsed: 0.151 s
% 0.15/0.51 % (30061)Instructions burned: 5 (million)
% 0.15/0.51 % (30061)------------------------------
% 0.15/0.51 % (30061)------------------------------
% 0.15/0.51 % (30064)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)
% 0.15/0.51 % (30063)Refutation not found, incomplete strategy% (30063)------------------------------
% 0.15/0.51 % (30063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (30063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (30063)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.51
% 0.15/0.51 % (30063)Memory used [KB]: 1535
% 0.15/0.51 % (30063)Time elapsed: 0.152 s
% 0.15/0.51 % (30063)Instructions burned: 4 (million)
% 0.15/0.51 % (30063)------------------------------
% 0.15/0.51 % (30063)------------------------------
% 0.15/0.52 % (30062)Instruction limit reached!
% 0.15/0.52 % (30062)------------------------------
% 0.15/0.52 % (30062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52 % (30062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52 % (30062)Termination reason: Unknown
% 0.15/0.52 % (30062)Termination phase: Saturation
% 0.15/0.52
% 0.15/0.52 % (30062)Memory used [KB]: 6140
% 0.15/0.52 % (30062)Time elapsed: 0.160 s
% 0.15/0.52 % (30062)Instructions burned: 7 (million)
% 0.15/0.52 % (30062)------------------------------
% 0.15/0.52 % (30062)------------------------------
% 0.15/0.52 % (30079)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.15/0.52 % (30058)Refutation found. Thanks to Tanya!
% 0.15/0.52 % SZS status Theorem for theBenchmark
% 0.15/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.53 % (30058)------------------------------
% 0.15/0.53 % (30058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53 % (30058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53 % (30058)Termination reason: Refutation
% 0.15/0.53
% 0.15/0.53 % (30058)Memory used [KB]: 6396
% 0.15/0.53 % (30058)Time elapsed: 0.107 s
% 0.15/0.53 % (30058)Instructions burned: 18 (million)
% 0.15/0.53 % (30058)------------------------------
% 0.15/0.53 % (30058)------------------------------
% 0.15/0.53 % (30050)Success in time 0.216 s
%------------------------------------------------------------------------------