TSTP Solution File: SEU449+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU449+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 : n002.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 18:30:46 EDT 2022
% Result : Theorem 0.17s 0.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 70 ( 11 unt; 0 def)
% Number of atoms : 210 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 233 ( 93 ~; 83 |; 29 &)
% ( 7 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 144 ( 123 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f211,plain,
$false,
inference(avatar_sat_refutation,[],[f150,f199,f210]) ).
fof(f210,plain,
spl12_2,
inference(avatar_contradiction_clause,[],[f209]) ).
fof(f209,plain,
( $false
| spl12_2 ),
inference(subsumption_resolution,[],[f207,f121]) ).
fof(f121,plain,
m2_relset_1(sK7,sK5,sK4),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( m1_subset_1(sK3,k1_zfmisc_1(sK5))
& m1_subset_1(sK6,k1_zfmisc_1(sK4))
& ( ~ r1_tarski(sK6,k8_relset_2(sK5,sK4,k8_relset_2(sK4,sK5,sK6,k6_relset_1(sK5,sK4,sK7)),sK7))
| ~ r1_tarski(sK3,k8_relset_2(sK4,sK5,k8_relset_2(sK5,sK4,sK3,sK7),k6_relset_1(sK5,sK4,sK7))) )
& m2_relset_1(sK7,sK5,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7])],[f94,f97,f96,f95]) ).
fof(f95,plain,
( ? [X0,X1,X2] :
( m1_subset_1(X0,k1_zfmisc_1(X2))
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
& ? [X4] :
( ( ~ r1_tarski(X3,k8_relset_2(X2,X1,k8_relset_2(X1,X2,X3,k6_relset_1(X2,X1,X4)),X4))
| ~ r1_tarski(X0,k8_relset_2(X1,X2,k8_relset_2(X2,X1,X0,X4),k6_relset_1(X2,X1,X4))) )
& m2_relset_1(X4,X2,X1) ) ) )
=> ( m1_subset_1(sK3,k1_zfmisc_1(sK5))
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(sK4))
& ? [X4] :
( ( ~ r1_tarski(X3,k8_relset_2(sK5,sK4,k8_relset_2(sK4,sK5,X3,k6_relset_1(sK5,sK4,X4)),X4))
| ~ r1_tarski(sK3,k8_relset_2(sK4,sK5,k8_relset_2(sK5,sK4,sK3,X4),k6_relset_1(sK5,sK4,X4))) )
& m2_relset_1(X4,sK5,sK4) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(sK4))
& ? [X4] :
( ( ~ r1_tarski(X3,k8_relset_2(sK5,sK4,k8_relset_2(sK4,sK5,X3,k6_relset_1(sK5,sK4,X4)),X4))
| ~ r1_tarski(sK3,k8_relset_2(sK4,sK5,k8_relset_2(sK5,sK4,sK3,X4),k6_relset_1(sK5,sK4,X4))) )
& m2_relset_1(X4,sK5,sK4) ) )
=> ( m1_subset_1(sK6,k1_zfmisc_1(sK4))
& ? [X4] :
( ( ~ r1_tarski(sK6,k8_relset_2(sK5,sK4,k8_relset_2(sK4,sK5,sK6,k6_relset_1(sK5,sK4,X4)),X4))
| ~ r1_tarski(sK3,k8_relset_2(sK4,sK5,k8_relset_2(sK5,sK4,sK3,X4),k6_relset_1(sK5,sK4,X4))) )
& m2_relset_1(X4,sK5,sK4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
( ? [X4] :
( ( ~ r1_tarski(sK6,k8_relset_2(sK5,sK4,k8_relset_2(sK4,sK5,sK6,k6_relset_1(sK5,sK4,X4)),X4))
| ~ r1_tarski(sK3,k8_relset_2(sK4,sK5,k8_relset_2(sK5,sK4,sK3,X4),k6_relset_1(sK5,sK4,X4))) )
& m2_relset_1(X4,sK5,sK4) )
=> ( ( ~ r1_tarski(sK6,k8_relset_2(sK5,sK4,k8_relset_2(sK4,sK5,sK6,k6_relset_1(sK5,sK4,sK7)),sK7))
| ~ r1_tarski(sK3,k8_relset_2(sK4,sK5,k8_relset_2(sK5,sK4,sK3,sK7),k6_relset_1(sK5,sK4,sK7))) )
& m2_relset_1(sK7,sK5,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
? [X0,X1,X2] :
( m1_subset_1(X0,k1_zfmisc_1(X2))
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
& ? [X4] :
( ( ~ r1_tarski(X3,k8_relset_2(X2,X1,k8_relset_2(X1,X2,X3,k6_relset_1(X2,X1,X4)),X4))
| ~ r1_tarski(X0,k8_relset_2(X1,X2,k8_relset_2(X2,X1,X0,X4),k6_relset_1(X2,X1,X4))) )
& m2_relset_1(X4,X2,X1) ) ) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
? [X2,X1,X0] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
& ? [X4] :
( ( ~ r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4))
| ~ r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4))) )
& m2_relset_1(X4,X0,X1) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)))
& r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4)) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)))
& r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_relset_2) ).
fof(f207,plain,
( ~ m2_relset_1(sK7,sK5,sK4)
| spl12_2 ),
inference(resolution,[],[f206,f138]) ).
fof(f138,plain,
! [X2,X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
| ~ m2_relset_1(X1,X2,X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
| ~ m2_relset_1(X1,X2,X0) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X1,X0,X2] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
| ~ m2_relset_1(X0,X2,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X1,X0,X2] :
( m2_relset_1(X0,X2,X1)
=> m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X2,X1,X0] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f206,plain,
( ~ m1_subset_1(sK7,k1_zfmisc_1(k2_zfmisc_1(sK5,sK4)))
| spl12_2 ),
inference(subsumption_resolution,[],[f204,f124]) ).
fof(f124,plain,
m1_subset_1(sK3,k1_zfmisc_1(sK5)),
inference(cnf_transformation,[],[f98]) ).
fof(f204,plain,
( ~ m1_subset_1(sK7,k1_zfmisc_1(k2_zfmisc_1(sK5,sK4)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK5))
| spl12_2 ),
inference(resolution,[],[f203,f131]) ).
fof(f131,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k8_relset_2(X0,X2,X3,X1),k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X0,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X0,X2)))
| m1_subset_1(k8_relset_2(X0,X2,X3,X1),k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
! [X3,X1,X2,X0] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X2)))
| m1_subset_1(k8_relset_2(X3,X2,X0,X1),k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X3)) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X3,X2] :
( m1_subset_1(k8_relset_2(X3,X2,X0,X1),k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X2))) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X3,X2] :
( ( m1_subset_1(X0,k1_zfmisc_1(X3))
& m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X2))) )
=> m1_subset_1(k8_relset_2(X3,X2,X0,X1),k1_zfmisc_1(X2)) ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X2,X3,X1,X0] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
=> m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relset_2) ).
fof(f203,plain,
( ~ m1_subset_1(k8_relset_2(sK5,sK4,sK3,sK7),k1_zfmisc_1(sK4))
| spl12_2 ),
inference(subsumption_resolution,[],[f202,f124]) ).
fof(f202,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(sK5))
| ~ m1_subset_1(k8_relset_2(sK5,sK4,sK3,sK7),k1_zfmisc_1(sK4))
| spl12_2 ),
inference(subsumption_resolution,[],[f201,f125]) ).
fof(f125,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X1] : r1_tarski(X1,X1),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X1,X0] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f201,plain,
( ~ r1_tarski(k8_relset_2(sK5,sK4,sK3,sK7),k8_relset_2(sK5,sK4,sK3,sK7))
| ~ m1_subset_1(k8_relset_2(sK5,sK4,sK3,sK7),k1_zfmisc_1(sK4))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK5))
| spl12_2 ),
inference(subsumption_resolution,[],[f200,f121]) ).
fof(f200,plain,
( ~ m2_relset_1(sK7,sK5,sK4)
| ~ m1_subset_1(k8_relset_2(sK5,sK4,sK3,sK7),k1_zfmisc_1(sK4))
| ~ r1_tarski(k8_relset_2(sK5,sK4,sK3,sK7),k8_relset_2(sK5,sK4,sK3,sK7))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK5))
| spl12_2 ),
inference(resolution,[],[f149,f130]) ).
fof(f130,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(X0,k8_relset_2(X1,X2,X3,k6_relset_1(X2,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X2,X1,X0,X4))
| ~ m2_relset_1(X4,X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ! [X4] :
( ~ m2_relset_1(X4,X2,X1)
| ( ( r1_tarski(X0,k8_relset_2(X1,X2,X3,k6_relset_1(X2,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X2,X1,X0,X4)) )
& ( r1_tarski(X3,k8_relset_2(X2,X1,X0,X4))
| ~ r1_tarski(X0,k8_relset_2(X1,X2,X3,k6_relset_1(X2,X1,X4))) ) ) ) ) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X1,X2,X0] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X0,X2)
| ( ( r1_tarski(X1,k8_relset_2(X2,X0,X3,k6_relset_1(X0,X2,X4)))
| ~ r1_tarski(X3,k8_relset_2(X0,X2,X1,X4)) )
& ( r1_tarski(X3,k8_relset_2(X0,X2,X1,X4))
| ~ r1_tarski(X1,k8_relset_2(X2,X0,X3,k6_relset_1(X0,X2,X4))) ) ) ) ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X1,X2,X0] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X0,X2)
| ( r1_tarski(X1,k8_relset_2(X2,X0,X3,k6_relset_1(X0,X2,X4)))
<=> r1_tarski(X3,k8_relset_2(X0,X2,X1,X4)) ) ) ) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
! [X1,X2,X0] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X2))
=> ! [X4] :
( m2_relset_1(X4,X0,X2)
=> ( r1_tarski(X1,k8_relset_2(X2,X0,X3,k6_relset_1(X0,X2,X4)))
<=> r1_tarski(X3,k8_relset_2(X0,X2,X1,X4)) ) ) ) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X0,X2,X1] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
<=> r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t61_relset_2) ).
fof(f149,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK4,sK5,k8_relset_2(sK5,sK4,sK3,sK7),k6_relset_1(sK5,sK4,sK7)))
| spl12_2 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl12_2
<=> r1_tarski(sK3,k8_relset_2(sK4,sK5,k8_relset_2(sK5,sK4,sK3,sK7),k6_relset_1(sK5,sK4,sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f199,plain,
spl12_1,
inference(avatar_contradiction_clause,[],[f198]) ).
fof(f198,plain,
( $false
| spl12_1 ),
inference(subsumption_resolution,[],[f197,f157]) ).
fof(f157,plain,
m1_relset_1(sK7,sK5,sK4),
inference(resolution,[],[f119,f121]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| m1_relset_1(X2,X1,X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X1,X0)
| ~ m1_relset_1(X2,X1,X0) )
& ( m1_relset_1(X2,X1,X0)
| ~ m2_relset_1(X2,X1,X0) ) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X1,X2,X0] :
( ( m2_relset_1(X0,X2,X1)
| ~ m1_relset_1(X0,X2,X1) )
& ( m1_relset_1(X0,X2,X1)
| ~ m2_relset_1(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X1,X2,X0] :
( m2_relset_1(X0,X2,X1)
<=> m1_relset_1(X0,X2,X1) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X2,X1,X0] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f197,plain,
( ~ m1_relset_1(sK7,sK5,sK4)
| spl12_1 ),
inference(resolution,[],[f195,f126]) ).
fof(f126,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X2,X0,X1),X0,X2)
| ~ m1_relset_1(X1,X2,X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X1,X2,X0)
| m2_relset_1(k6_relset_1(X2,X0,X1),X0,X2) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X1,X0,X2] :
( ~ m1_relset_1(X0,X2,X1)
| m2_relset_1(k6_relset_1(X2,X1,X0),X1,X2) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X1,X2,X0] :
( m1_relset_1(X0,X2,X1)
=> m2_relset_1(k6_relset_1(X2,X1,X0),X1,X2) ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X2,X1,X0] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f195,plain,
( ~ m2_relset_1(k6_relset_1(sK5,sK4,sK7),sK4,sK5)
| spl12_1 ),
inference(resolution,[],[f194,f138]) ).
fof(f194,plain,
( ~ m1_subset_1(k6_relset_1(sK5,sK4,sK7),k1_zfmisc_1(k2_zfmisc_1(sK4,sK5)))
| spl12_1 ),
inference(subsumption_resolution,[],[f192,f123]) ).
fof(f123,plain,
m1_subset_1(sK6,k1_zfmisc_1(sK4)),
inference(cnf_transformation,[],[f98]) ).
fof(f192,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(sK4))
| ~ m1_subset_1(k6_relset_1(sK5,sK4,sK7),k1_zfmisc_1(k2_zfmisc_1(sK4,sK5)))
| spl12_1 ),
inference(resolution,[],[f191,f131]) ).
fof(f191,plain,
( ~ m1_subset_1(k8_relset_2(sK4,sK5,sK6,k6_relset_1(sK5,sK4,sK7)),k1_zfmisc_1(sK5))
| spl12_1 ),
inference(subsumption_resolution,[],[f190,f121]) ).
fof(f190,plain,
( ~ m1_subset_1(k8_relset_2(sK4,sK5,sK6,k6_relset_1(sK5,sK4,sK7)),k1_zfmisc_1(sK5))
| ~ m2_relset_1(sK7,sK5,sK4)
| spl12_1 ),
inference(subsumption_resolution,[],[f186,f123]) ).
fof(f186,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(sK4))
| ~ m1_subset_1(k8_relset_2(sK4,sK5,sK6,k6_relset_1(sK5,sK4,sK7)),k1_zfmisc_1(sK5))
| ~ m2_relset_1(sK7,sK5,sK4)
| spl12_1 ),
inference(resolution,[],[f177,f145]) ).
fof(f145,plain,
( ~ r1_tarski(sK6,k8_relset_2(sK5,sK4,k8_relset_2(sK4,sK5,sK6,k6_relset_1(sK5,sK4,sK7)),sK7))
| spl12_1 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl12_1
<=> r1_tarski(sK6,k8_relset_2(sK5,sK4,k8_relset_2(sK4,sK5,sK6,k6_relset_1(sK5,sK4,sK7)),sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f177,plain,
! [X2,X3,X0,X1] :
( r1_tarski(X0,k8_relset_2(X2,X1,k8_relset_2(X1,X2,X0,k6_relset_1(X2,X1,X3)),X3))
| ~ m1_subset_1(k8_relset_2(X1,X2,X0,k6_relset_1(X2,X1,X3)),k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m2_relset_1(X3,X2,X1) ),
inference(resolution,[],[f129,f125]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1_tarski(X0,k8_relset_2(X1,X2,X3,k6_relset_1(X2,X1,X4)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| r1_tarski(X3,k8_relset_2(X2,X1,X0,X4))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m2_relset_1(X4,X2,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f150,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f122,f147,f143]) ).
fof(f122,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK4,sK5,k8_relset_2(sK5,sK4,sK3,sK7),k6_relset_1(sK5,sK4,sK7)))
| ~ r1_tarski(sK6,k8_relset_2(sK5,sK4,k8_relset_2(sK4,sK5,sK6,k6_relset_1(sK5,sK4,sK7)),sK7)) ),
inference(cnf_transformation,[],[f98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU449+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 15:53:44 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.48 % (27879)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)
% 0.17/0.48 % (27887)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)
% 0.17/0.48 % (27887)Instruction limit reached!
% 0.17/0.48 % (27887)------------------------------
% 0.17/0.48 % (27887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (27895)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)
% 0.17/0.49 % (27880)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)
% 0.17/0.49 % (27887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (27887)Termination reason: Unknown
% 0.17/0.49 % (27887)Termination phase: Saturation
% 0.17/0.49
% 0.17/0.49 % (27887)Memory used [KB]: 6012
% 0.17/0.49 % (27887)Time elapsed: 0.005 s
% 0.17/0.49 % (27887)Instructions burned: 3 (million)
% 0.17/0.49 % (27887)------------------------------
% 0.17/0.49 % (27887)------------------------------
% 0.17/0.49 % (27888)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)
% 0.17/0.50 % (27879)First to succeed.
% 0.17/0.50 % (27888)Instruction limit reached!
% 0.17/0.50 % (27888)------------------------------
% 0.17/0.50 % (27888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (27879)Refutation found. Thanks to Tanya!
% 0.17/0.50 % SZS status Theorem for theBenchmark
% 0.17/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50 % (27879)------------------------------
% 0.17/0.50 % (27879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (27879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (27879)Termination reason: Refutation
% 0.17/0.50
% 0.17/0.50 % (27879)Memory used [KB]: 6140
% 0.17/0.50 % (27879)Time elapsed: 0.117 s
% 0.17/0.50 % (27879)Instructions burned: 7 (million)
% 0.17/0.50 % (27879)------------------------------
% 0.17/0.50 % (27879)------------------------------
% 0.17/0.50 % (27872)Success in time 0.174 s
%------------------------------------------------------------------------------