TSTP Solution File: SEU425+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU425+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 17:59:02 EDT 2023
% Result : Theorem 0.23s 0.45s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 27
% Syntax : Number of formulae : 118 ( 18 unt; 0 def)
% Number of atoms : 366 ( 89 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 421 ( 173 ~; 174 |; 40 &)
% ( 17 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 8 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-3 aty)
% Number of variables : 148 (; 138 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f809,plain,
$false,
inference(avatar_sat_refutation,[],[f229,f356,f379,f536,f624,f679,f784,f808]) ).
fof(f808,plain,
( ~ spl19_3
| spl19_9
| ~ spl19_19 ),
inference(avatar_contradiction_clause,[],[f807]) ).
fof(f807,plain,
( $false
| ~ spl19_3
| spl19_9
| ~ spl19_19 ),
inference(subsumption_resolution,[],[f793,f117]) ).
fof(f117,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/sandbox/tmp/tmp.qJK4ClQRnO/Vampire---4.8_21492',fc4_relat_1) ).
fof(f793,plain,
( ~ v1_xboole_0(k1_xboole_0)
| ~ spl19_3
| spl19_9
| ~ spl19_19 ),
inference(backward_demodulation,[],[f193,f791]) ).
fof(f791,plain,
( k1_xboole_0 = sF16
| ~ spl19_3
| spl19_9
| ~ spl19_19 ),
inference(subsumption_resolution,[],[f790,f614]) ).
fof(f614,plain,
( sF14 = k1_relat_1(sF13)
| ~ spl19_3 ),
inference(forward_demodulation,[],[f613,f185]) ).
fof(f185,plain,
k1_zfmisc_1(sK0) = sF14,
introduced(function_definition,[]) ).
fof(f613,plain,
( k1_zfmisc_1(sK0) = k1_relat_1(sF13)
| ~ spl19_3 ),
inference(subsumption_resolution,[],[f607,f223]) ).
fof(f223,plain,
( v1_relat_1(sK2)
| ~ spl19_3 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl19_3
<=> v1_relat_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_3])]) ).
fof(f607,plain,
( k1_zfmisc_1(sK0) = k1_relat_1(sF13)
| ~ v1_relat_1(sK2) ),
inference(superposition,[],[f603,f184]) ).
fof(f184,plain,
k5_relset_2(sK0,sK2) = sF13,
introduced(function_definition,[]) ).
fof(f603,plain,
! [X0,X1] :
( k1_zfmisc_1(X0) = k1_relat_1(k5_relset_2(X0,X1))
| ~ v1_relat_1(X1) ),
inference(subsumption_resolution,[],[f602,f137]) ).
fof(f137,plain,
! [X0,X1] :
( v1_relat_1(k5_relset_2(X0,X1))
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ( v1_funct_1(k5_relset_2(X0,X1))
& v1_relat_1(k5_relset_2(X0,X1)) )
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( v1_funct_1(k5_relset_2(X0,X1))
& v1_relat_1(k5_relset_2(X0,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.qJK4ClQRnO/Vampire---4.8_21492',dt_k5_relset_2) ).
fof(f602,plain,
! [X0,X1] :
( k1_zfmisc_1(X0) = k1_relat_1(k5_relset_2(X0,X1))
| ~ v1_relat_1(k5_relset_2(X0,X1))
| ~ v1_relat_1(X1) ),
inference(subsumption_resolution,[],[f178,f138]) ).
fof(f138,plain,
! [X0,X1] :
( v1_funct_1(k5_relset_2(X0,X1))
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f178,plain,
! [X0,X1] :
( k1_zfmisc_1(X0) = k1_relat_1(k5_relset_2(X0,X1))
| ~ v1_funct_1(k5_relset_2(X0,X1))
| ~ v1_relat_1(k5_relset_2(X0,X1))
| ~ v1_relat_1(X1) ),
inference(equality_resolution,[],[f139]) ).
fof(f139,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ! [X2] :
( ( ( k5_relset_2(X0,X1) = X2
| ( k1_funct_1(X2,sK6(X0,X1,X2)) != k9_relat_1(X1,sK6(X0,X1,X2))
& r1_tarski(sK6(X0,X1,X2),X0) )
| k1_zfmisc_1(X0) != k1_relat_1(X2) )
& ( ( ! [X4] :
( k1_funct_1(X2,X4) = k9_relat_1(X1,X4)
| ~ r1_tarski(X4,X0) )
& 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(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f97,f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ? [X3] :
( k1_funct_1(X2,X3) != k9_relat_1(X1,X3)
& r1_tarski(X3,X0) )
=> ( k1_funct_1(X2,sK6(X0,X1,X2)) != k9_relat_1(X1,sK6(X0,X1,X2))
& r1_tarski(sK6(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0,X1] :
( ! [X2] :
( ( ( k5_relset_2(X0,X1) = X2
| ? [X3] :
( k1_funct_1(X2,X3) != k9_relat_1(X1,X3)
& r1_tarski(X3,X0) )
| k1_zfmisc_1(X0) != k1_relat_1(X2) )
& ( ( ! [X4] :
( k1_funct_1(X2,X4) = k9_relat_1(X1,X4)
| ~ r1_tarski(X4,X0) )
& 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(rectify,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( ( ( k5_relset_2(X0,X1) = X2
| ? [X3] :
( k1_funct_1(X2,X3) != k9_relat_1(X1,X3)
& r1_tarski(X3,X0) )
| k1_zfmisc_1(X0) != k1_relat_1(X2) )
& ( ( ! [X3] :
( k1_funct_1(X2,X3) = k9_relat_1(X1,X3)
| ~ r1_tarski(X3,X0) )
& 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,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ! [X2] :
( ( ( k5_relset_2(X0,X1) = X2
| ? [X3] :
( k1_funct_1(X2,X3) != k9_relat_1(X1,X3)
& r1_tarski(X3,X0) )
| k1_zfmisc_1(X0) != k1_relat_1(X2) )
& ( ( ! [X3] :
( k1_funct_1(X2,X3) = k9_relat_1(X1,X3)
| ~ r1_tarski(X3,X0) )
& 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,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ! [X2] :
( ( k5_relset_2(X0,X1) = X2
<=> ( ! [X3] :
( k1_funct_1(X2,X3) = k9_relat_1(X1,X3)
| ~ r1_tarski(X3,X0) )
& k1_zfmisc_1(X0) = k1_relat_1(X2) ) )
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ! [X2] :
( ( k5_relset_2(X0,X1) = X2
<=> ( ! [X3] :
( k1_funct_1(X2,X3) = k9_relat_1(X1,X3)
| ~ r1_tarski(X3,X0) )
& k1_zfmisc_1(X0) = k1_relat_1(X2) ) )
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(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) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.qJK4ClQRnO/Vampire---4.8_21492',d3_relset_2) ).
fof(f790,plain,
( k1_xboole_0 = sF16
| sF14 != k1_relat_1(sF13)
| spl19_9
| ~ spl19_19 ),
inference(subsumption_resolution,[],[f789,f374]) ).
fof(f374,plain,
( ~ v1_funct_2(sF13,sF14,sF16)
| spl19_9 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f372,plain,
( spl19_9
<=> v1_funct_2(sF13,sF14,sF16) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_9])]) ).
fof(f789,plain,
( v1_funct_2(sF13,sF14,sF16)
| k1_xboole_0 = sF16
| sF14 != k1_relat_1(sF13)
| ~ spl19_19 ),
inference(resolution,[],[f594,f775]) ).
fof(f775,plain,
( m1_relset_1(sF13,sF14,sF16)
| ~ spl19_19 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f774,plain,
( spl19_19
<=> m1_relset_1(sF13,sF14,sF16) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_19])]) ).
fof(f594,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| v1_funct_2(X2,X0,X1)
| k1_xboole_0 = X1
| k1_relat_1(X2) != X0 ),
inference(subsumption_resolution,[],[f593,f170]) ).
fof(f170,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.qJK4ClQRnO/Vampire---4.8_21492',redefinition_m2_relset_1) ).
fof(f593,plain,
! [X2,X0,X1] :
( k1_relat_1(X2) != X0
| v1_funct_2(X2,X0,X1)
| k1_xboole_0 = X1
| ~ m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(superposition,[],[f162,f157]) ).
fof(f157,plain,
! [X2,X0,X1] :
( k4_relset_1(X0,X1,X2) = k1_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( k4_relset_1(X0,X1,X2) = k1_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k4_relset_1(X0,X1,X2) = k1_relat_1(X2) ),
file('/export/starexec/sandbox/tmp/tmp.qJK4ClQRnO/Vampire---4.8_21492',redefinition_k4_relset_1) ).
fof(f162,plain,
! [X2,X0,X1] :
( k4_relset_1(X0,X1,X2) != X0
| v1_funct_2(X2,X0,X1)
| k1_xboole_0 = X1
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ( ( ( ( v1_funct_2(X2,X0,X1)
| k1_xboole_0 != X2 )
& ( k1_xboole_0 = X2
| ~ v1_funct_2(X2,X0,X1) ) )
| k1_xboole_0 = X0
| k1_xboole_0 != X1 )
& ( ( ( v1_funct_2(X2,X0,X1)
| k4_relset_1(X0,X1,X2) != X0 )
& ( k4_relset_1(X0,X1,X2) = X0
| ~ v1_funct_2(X2,X0,X1) ) )
| ( k1_xboole_0 != X0
& k1_xboole_0 = X1 ) ) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( ( ( v1_funct_2(X2,X0,X1)
<=> k1_xboole_0 = X2 )
| k1_xboole_0 = X0
| k1_xboole_0 != X1 )
& ( ( v1_funct_2(X2,X0,X1)
<=> k4_relset_1(X0,X1,X2) = X0 )
| ( k1_xboole_0 != X0
& k1_xboole_0 = X1 ) ) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ( ( ( v1_funct_2(X2,X0,X1)
<=> k1_xboole_0 = X2 )
| k1_xboole_0 = X0
| k1_xboole_0 != X1 )
& ( ( v1_funct_2(X2,X0,X1)
<=> k4_relset_1(X0,X1,X2) = X0 )
| ( k1_xboole_0 != X0
& k1_xboole_0 = X1 ) ) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( 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/sandbox/tmp/tmp.qJK4ClQRnO/Vampire---4.8_21492',d1_funct_2) ).
fof(f193,plain,
~ v1_xboole_0(sF16),
inference(superposition,[],[f121,f187]) ).
fof(f187,plain,
k1_zfmisc_1(sF15) = sF16,
introduced(function_definition,[]) ).
fof(f121,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/sandbox/tmp/tmp.qJK4ClQRnO/Vampire---4.8_21492',fc1_subset_1) ).
fof(f784,plain,
( ~ spl19_10
| spl19_19 ),
inference(avatar_contradiction_clause,[],[f783]) ).
fof(f783,plain,
( $false
| ~ spl19_10
| spl19_19 ),
inference(subsumption_resolution,[],[f782,f377]) ).
fof(f377,plain,
( m2_relset_1(sF13,sF14,sF16)
| ~ spl19_10 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f376,plain,
( spl19_10
<=> m2_relset_1(sF13,sF14,sF16) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_10])]) ).
fof(f782,plain,
( ~ m2_relset_1(sF13,sF14,sF16)
| spl19_19 ),
inference(resolution,[],[f776,f169]) ).
fof(f169,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f776,plain,
( ~ m1_relset_1(sF13,sF14,sF16)
| spl19_19 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f679,plain,
spl19_16,
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f678,plain,
( $false
| spl19_16 ),
inference(subsumption_resolution,[],[f677,f191]) ).
fof(f191,plain,
m1_subset_1(sK2,sF18),
inference(definition_folding,[],[f115,f190,f189]) ).
fof(f189,plain,
k2_zfmisc_1(sK0,sK1) = sF17,
introduced(function_definition,[]) ).
fof(f190,plain,
k1_zfmisc_1(sF17) = sF18,
introduced(function_definition,[]) ).
fof(f115,plain,
m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( ~ m2_relset_1(k5_relset_2(sK0,sK2),k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)))
| ~ v1_funct_2(k5_relset_2(sK0,sK2),k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)))
| ~ v1_funct_1(k5_relset_2(sK0,sK2)) )
& m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f54,f87]) ).
fof(f87,plain,
( ? [X0,X1,X2] :
( ( ~ m2_relset_1(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
| ~ v1_funct_2(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
| ~ v1_funct_1(k5_relset_2(X0,X2)) )
& m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
=> ( ( ~ m2_relset_1(k5_relset_2(sK0,sK2),k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)))
| ~ v1_funct_2(k5_relset_2(sK0,sK2),k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)))
| ~ v1_funct_1(k5_relset_2(sK0,sK2)) )
& m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0,X1,X2] :
( ( ~ m2_relset_1(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
| ~ v1_funct_2(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
| ~ v1_funct_1(k5_relset_2(X0,X2)) )
& m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( m2_relset_1(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
& v1_funct_2(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
& v1_funct_1(k5_relset_2(X0,X2)) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( m2_relset_1(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
& v1_funct_2(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
& v1_funct_1(k5_relset_2(X0,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.qJK4ClQRnO/Vampire---4.8_21492',t21_relset_2) ).
fof(f677,plain,
( ~ m1_subset_1(sK2,sF18)
| spl19_16 ),
inference(forward_demodulation,[],[f676,f190]) ).
fof(f676,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(sF17))
| spl19_16 ),
inference(superposition,[],[f672,f189]) ).
fof(f672,plain,
( ! [X0] : ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,X0)))
| spl19_16 ),
inference(subsumption_resolution,[],[f541,f535]) ).
fof(f535,plain,
( ~ r1_tarski(k2_relat_1(sF13),sF16)
| spl19_16 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f533,plain,
( spl19_16
<=> r1_tarski(k2_relat_1(sF13),sF16) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_16])]) ).
fof(f541,plain,
! [X0] :
( r1_tarski(k2_relat_1(sF13),sF16)
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,X0))) ),
inference(forward_demodulation,[],[f540,f187]) ).
fof(f540,plain,
! [X0] :
( r1_tarski(k2_relat_1(sF13),k1_zfmisc_1(sF15))
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,X0))) ),
inference(forward_demodulation,[],[f537,f186]) ).
fof(f186,plain,
k2_relat_1(sK2) = sF15,
introduced(function_definition,[]) ).
fof(f537,plain,
! [X0] :
( r1_tarski(k2_relat_1(sF13),k1_zfmisc_1(k2_relat_1(sK2)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,X0))) ),
inference(superposition,[],[f167,f184]) ).
fof(f167,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,[],[f83]) ).
fof(f83,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(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X2] :
( 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/sandbox/tmp/tmp.qJK4ClQRnO/Vampire---4.8_21492',t20_relset_2) ).
fof(f624,plain,
( ~ spl19_3
| spl19_15 ),
inference(avatar_contradiction_clause,[],[f623]) ).
fof(f623,plain,
( $false
| ~ spl19_3
| spl19_15 ),
inference(subsumption_resolution,[],[f617,f135]) ).
fof(f135,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.qJK4ClQRnO/Vampire---4.8_21492',reflexivity_r1_tarski) ).
fof(f617,plain,
( ~ r1_tarski(sF14,sF14)
| ~ spl19_3
| spl19_15 ),
inference(backward_demodulation,[],[f531,f614]) ).
fof(f531,plain,
( ~ r1_tarski(k1_relat_1(sF13),sF14)
| spl19_15 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f529,plain,
( spl19_15
<=> r1_tarski(k1_relat_1(sF13),sF14) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_15])]) ).
fof(f536,plain,
( ~ spl19_15
| ~ spl19_16
| ~ spl19_4
| spl19_10 ),
inference(avatar_split_clause,[],[f522,f376,f226,f533,f529]) ).
fof(f226,plain,
( spl19_4
<=> v1_relat_1(sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_4])]) ).
fof(f522,plain,
( ~ r1_tarski(k2_relat_1(sF13),sF16)
| ~ r1_tarski(k1_relat_1(sF13),sF14)
| ~ spl19_4
| spl19_10 ),
inference(subsumption_resolution,[],[f521,f228]) ).
fof(f228,plain,
( v1_relat_1(sF13)
| ~ spl19_4 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f521,plain,
( ~ r1_tarski(k2_relat_1(sF13),sF16)
| ~ r1_tarski(k1_relat_1(sF13),sF14)
| ~ v1_relat_1(sF13)
| spl19_10 ),
inference(resolution,[],[f156,f378]) ).
fof(f378,plain,
( ~ m2_relset_1(sF13,sF14,sF16)
| spl19_10 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f156,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ r1_tarski(k2_relat_1(X2),X1)
| ~ r1_tarski(k1_relat_1(X2),X0)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
| ~ r1_tarski(k2_relat_1(X2),X1)
| ~ r1_tarski(k1_relat_1(X2),X0)
| ~ v1_relat_1(X2) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
| ~ r1_tarski(k2_relat_1(X2),X1)
| ~ r1_tarski(k1_relat_1(X2),X0)
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( ( r1_tarski(k2_relat_1(X2),X1)
& r1_tarski(k1_relat_1(X2),X0) )
=> m2_relset_1(X2,X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.qJK4ClQRnO/Vampire---4.8_21492',t11_relset_1) ).
fof(f379,plain,
( ~ spl19_9
| ~ spl19_10
| ~ spl19_3 ),
inference(avatar_split_clause,[],[f370,f222,f376,f372]) ).
fof(f370,plain,
( ~ m2_relset_1(sF13,sF14,sF16)
| ~ v1_funct_2(sF13,sF14,sF16)
| ~ spl19_3 ),
inference(subsumption_resolution,[],[f188,f357]) ).
fof(f357,plain,
( v1_funct_1(sF13)
| ~ spl19_3 ),
inference(subsumption_resolution,[],[f220,f223]) ).
fof(f220,plain,
( v1_funct_1(sF13)
| ~ v1_relat_1(sK2) ),
inference(superposition,[],[f138,f184]) ).
fof(f188,plain,
( ~ m2_relset_1(sF13,sF14,sF16)
| ~ v1_funct_2(sF13,sF14,sF16)
| ~ v1_funct_1(sF13) ),
inference(definition_folding,[],[f116,f184,f187,f186,f185,f184,f187,f186,f185,f184]) ).
fof(f116,plain,
( ~ m2_relset_1(k5_relset_2(sK0,sK2),k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)))
| ~ v1_funct_2(k5_relset_2(sK0,sK2),k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)))
| ~ v1_funct_1(k5_relset_2(sK0,sK2)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f356,plain,
spl19_3,
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f355,plain,
( $false
| spl19_3 ),
inference(subsumption_resolution,[],[f354,f191]) ).
fof(f354,plain,
( ~ m1_subset_1(sK2,sF18)
| spl19_3 ),
inference(forward_demodulation,[],[f351,f190]) ).
fof(f351,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(sF17))
| spl19_3 ),
inference(superposition,[],[f319,f189]) ).
fof(f319,plain,
( ! [X0,X1] : ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| spl19_3 ),
inference(resolution,[],[f166,f224]) ).
fof(f224,plain,
( ~ v1_relat_1(sK2)
| spl19_3 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f166,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/tmp/tmp.qJK4ClQRnO/Vampire---4.8_21492',cc1_relset_1) ).
fof(f229,plain,
( ~ spl19_3
| spl19_4 ),
inference(avatar_split_clause,[],[f219,f226,f222]) ).
fof(f219,plain,
( v1_relat_1(sF13)
| ~ v1_relat_1(sK2) ),
inference(superposition,[],[f137,f184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU425+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 23 18:16:05 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.qJK4ClQRnO/Vampire---4.8_21492
% 0.15/0.37 % (21599)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (21605)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.23/0.43 % (21601)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.23/0.43 % (21604)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.23/0.43 % (21600)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.23/0.43 % (21602)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.23/0.43 % (21603)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.23/0.43 % (21603)Refutation not found, incomplete strategy% (21603)------------------------------
% 0.23/0.43 % (21603)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.43 % (21603)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.43 % (21603)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.43
% 0.23/0.43 % (21603)Memory used [KB]: 10106
% 0.23/0.43 % (21603)Time elapsed: 0.006 s
% 0.23/0.43 % (21603)------------------------------
% 0.23/0.43 % (21603)------------------------------
% 0.23/0.45 % (21605)First to succeed.
% 0.23/0.45 % (21606)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.23/0.45 % (21605)Refutation found. Thanks to Tanya!
% 0.23/0.45 % SZS status Theorem for Vampire---4
% 0.23/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.45 % (21605)------------------------------
% 0.23/0.45 % (21605)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.45 % (21605)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.45 % (21605)Termination reason: Refutation
% 0.23/0.45
% 0.23/0.45 % (21605)Memory used [KB]: 5884
% 0.23/0.45 % (21605)Time elapsed: 0.023 s
% 0.23/0.45 % (21605)------------------------------
% 0.23/0.45 % (21605)------------------------------
% 0.23/0.45 % (21599)Success in time 0.083 s
% 0.23/0.45 21600 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.qJK4ClQRnO/Vampire---4.8_21492
% 0.23/0.45 % (21600)------------------------------
% 0.23/0.45 % (21600)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.45 21601 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.qJK4ClQRnO/Vampire---4.8_21492
% 0.23/0.45 % (21601)------------------------------
% 0.23/0.45 % (21601)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.45 % (21600)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.45 % (21601)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.45 % (21600)Termination reason: Unknown
% 0.23/0.45 % (21601)Termination reason: Unknown
% 0.23/0.45 % (21600)Termination phase: Saturation
% 0.23/0.45 % (21601)Termination phase: Saturation
% 0.23/0.45
% 0.23/0.45
% 0.23/0.45 % (21601)Memory used [KB]: 1023
% 0.23/0.45 % (21600)Memory used [KB]: 5500
% 0.23/0.45 % (21601)Time elapsed: 0.026 s
% 0.23/0.45 % (21600)Time elapsed: 0.026 s
% 0.23/0.45 % (21601)------------------------------
% 0.23/0.45 % (21601)------------------------------
% 0.23/0.45 % (21600)------------------------------
% 0.23/0.45 % (21600)------------------------------
% 0.23/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------