TSTP Solution File: SEU449+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU449+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n028.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 May 1 03:53:42 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 73 ( 11 unt; 1 typ; 0 def)
% Number of atoms : 725 ( 0 equ)
% Maximal formula atoms : 10 ( 10 avg)
% Number of connectives : 252 ( 108 ~; 99 |; 24 &)
% ( 6 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 509 ( 509 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 17 ( 16 usr; 8 prp; 0-4 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 149 ( 132 !; 16 ?; 71 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_12,type,
sQ9_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f186,plain,
$false,
inference(avatar_sat_refutation,[],[f123,f161,f184]) ).
tff(f184,plain,
spl10_2,
inference(avatar_contradiction_clause,[],[f183]) ).
tff(f183,plain,
( $false
| spl10_2 ),
inference(subsumption_resolution,[],[f181,f87]) ).
tff(f87,plain,
m2_relset_1(sK4,sK0,sK1),
inference(cnf_transformation,[],[f73]) ).
tff(f73,plain,
( ( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4))) )
& m2_relset_1(sK4,sK0,sK1)
& m1_subset_1(sK3,k1_zfmisc_1(sK1))
& m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f59,f72,f71,f70]) ).
tff(f70,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ? [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) )
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( ? [X3] :
( ? [X4] :
( ( ~ r1_tarski(X3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,X3,k6_relset_1(sK0,sK1,X4)),X4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,X4),k6_relset_1(sK0,sK1,X4))) )
& m2_relset_1(X4,sK0,sK1) )
& m1_subset_1(X3,k1_zfmisc_1(sK1)) )
& m1_subset_1(sK2,k1_zfmisc_1(sK0)) ) ),
introduced(choice_axiom,[]) ).
tff(f71,plain,
( ? [X3] :
( ? [X4] :
( ( ~ r1_tarski(X3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,X3,k6_relset_1(sK0,sK1,X4)),X4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,X4),k6_relset_1(sK0,sK1,X4))) )
& m2_relset_1(X4,sK0,sK1) )
& m1_subset_1(X3,k1_zfmisc_1(sK1)) )
=> ( ? [X4] :
( ( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,X4)),X4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,X4),k6_relset_1(sK0,sK1,X4))) )
& m2_relset_1(X4,sK0,sK1) )
& m1_subset_1(sK3,k1_zfmisc_1(sK1)) ) ),
introduced(choice_axiom,[]) ).
tff(f72,plain,
( ? [X4] :
( ( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,X4)),X4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,X4),k6_relset_1(sK0,sK1,X4))) )
& m2_relset_1(X4,sK0,sK1) )
=> ( ( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4))) )
& m2_relset_1(sK4,sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f59,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [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) )
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f2]) ).
tff(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(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))) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(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(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))) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cLbxyB2C7P/Vampire---4.8_17214',t63_relset_2) ).
tff(f181,plain,
( ~ m2_relset_1(sK4,sK0,sK1)
| spl10_2 ),
inference(resolution,[],[f174,f131]) ).
tff(f131,plain,
! [X2: $i,X0: $i,X1: $i] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m2_relset_1(X2,X0,X1) ),
inference(forward_literal_rewriting,[],[f100,f101]) ).
tff(f101,plain,
! [X2: $i,X0: $i,X1: $i] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
tff(f81,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,[],[f48]) ).
tff(f48,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.cLbxyB2C7P/Vampire---4.8_17214',redefinition_m2_relset_1) ).
tff(f100,plain,
! [X2: $i,X0: $i,X1: $i] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
tff(f67,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
tff(f50,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.cLbxyB2C7P/Vampire---4.8_17214',dt_k6_relset_1) ).
tff(f174,plain,
( ~ m2_relset_1(k6_relset_1(sK0,sK1,sK4),sK1,sK0)
| spl10_2 ),
inference(resolution,[],[f173,f130]) ).
tff(f130,plain,
! [X2: $i,X0: $i,X1: $i] :
( r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) ),
inference(forward_literal_rewriting,[],[f90,f106]) ).
tff(f106,plain,
! [X0: $i,X1: $i] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
tff(f84,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f55]) ).
tff(f55,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.cLbxyB2C7P/Vampire---4.8_17214',t3_subset) ).
tff(f90,plain,
! [X2: $i,X0: $i,X1: $i] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
tff(f60,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
tff(f53,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/tmp/tmp.cLbxyB2C7P/Vampire---4.8_17214',dt_m2_relset_1) ).
tff(f173,plain,
( ~ r1_tarski(k6_relset_1(sK0,sK1,sK4),k2_zfmisc_1(sK1,sK0))
| spl10_2 ),
inference(subsumption_resolution,[],[f172,f125]) ).
tff(f125,plain,
r1_tarski(sK3,sK1),
inference(resolution,[],[f106,f86]) ).
tff(f86,plain,
m1_subset_1(sK3,k1_zfmisc_1(sK1)),
inference(cnf_transformation,[],[f73]) ).
tff(f172,plain,
( ~ r1_tarski(k6_relset_1(sK0,sK1,sK4),k2_zfmisc_1(sK1,sK0))
| ~ r1_tarski(sK3,sK1)
| spl10_2 ),
inference(resolution,[],[f168,f138]) ).
tff(f138,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( r1_tarski(k8_relset_2(X0,X1,X2,X3),X1)
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| ~ r1_tarski(X2,X0) ),
inference(forward_literal_rewriting,[],[f137,f107]) ).
tff(f107,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
tff(f137,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| r1_tarski(k8_relset_2(X0,X1,X2,X3),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(forward_literal_rewriting,[],[f136,f107]) ).
tff(f136,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( r1_tarski(k8_relset_2(X0,X1,X2,X3),X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(forward_literal_rewriting,[],[f98,f106]) ).
tff(f98,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f64]) ).
tff(f64,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f63]) ).
tff(f63,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f51]) ).
tff(f51,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.cLbxyB2C7P/Vampire---4.8_17214',dt_k8_relset_2) ).
tff(f168,plain,
( ~ r1_tarski(k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK0)
| spl10_2 ),
inference(subsumption_resolution,[],[f167,f87]) ).
tff(f167,plain,
( ~ r1_tarski(k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK0)
| ~ m2_relset_1(sK4,sK0,sK1)
| spl10_2 ),
inference(subsumption_resolution,[],[f164,f125]) ).
tff(f164,plain,
( ~ r1_tarski(sK3,sK1)
| ~ r1_tarski(k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK0)
| ~ m2_relset_1(sK4,sK0,sK1)
| spl10_2 ),
inference(resolution,[],[f144,f122]) ).
tff(f122,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| spl10_2 ),
inference(avatar_component_clause,[],[f120]) ).
tff(f120,plain,
( spl10_2
<=> r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
tff(f144,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( r1_tarski(X0,k8_relset_2(X2,X1,k8_relset_2(X1,X2,X0,k6_relset_1(X2,X1,X3)),X3))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(k8_relset_2(X1,X2,X0,k6_relset_1(X2,X1,X3)),X2)
| ~ m2_relset_1(X3,X2,X1) ),
inference(resolution,[],[f143,f108]) ).
tff(f108,plain,
! [X0: $i] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f57]) ).
tff(f57,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f43]) ).
tff(f43,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.cLbxyB2C7P/Vampire---4.8_17214',reflexivity_r1_tarski) ).
tff(f143,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,X1)
| r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,X0)
| ~ m2_relset_1(X4,X0,X1) ),
inference(forward_literal_rewriting,[],[f142,f107]) ).
tff(f142,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ~ r1_tarski(X3,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)))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(forward_literal_rewriting,[],[f96,f107]) ).
tff(f96,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( 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)))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f80]) ).
tff(f80,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) )
& ( 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))) ) )
| ~ m2_relset_1(X4,X0,X1) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f62]) ).
tff(f62,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
<=> r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) )
| ~ m2_relset_1(X4,X0,X1) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f56]) ).
tff(f56,axiom,
! [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,X3,k6_relset_1(X0,X1,X4)))
<=> r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cLbxyB2C7P/Vampire---4.8_17214',t61_relset_2) ).
tff(f161,plain,
spl10_1,
inference(avatar_contradiction_clause,[],[f160]) ).
tff(f160,plain,
( $false
| spl10_1 ),
inference(subsumption_resolution,[],[f159,f87]) ).
tff(f159,plain,
( ~ m2_relset_1(sK4,sK0,sK1)
| spl10_1 ),
inference(resolution,[],[f158,f130]) ).
tff(f158,plain,
( ~ r1_tarski(sK4,k2_zfmisc_1(sK0,sK1))
| spl10_1 ),
inference(subsumption_resolution,[],[f157,f124]) ).
tff(f124,plain,
r1_tarski(sK2,sK0),
inference(resolution,[],[f106,f85]) ).
tff(f85,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f73]) ).
tff(f157,plain,
( ~ r1_tarski(sK4,k2_zfmisc_1(sK0,sK1))
| ~ r1_tarski(sK2,sK0)
| spl10_1 ),
inference(resolution,[],[f156,f138]) ).
tff(f156,plain,
( ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),sK1)
| spl10_1 ),
inference(subsumption_resolution,[],[f155,f87]) ).
tff(f155,plain,
( ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),sK1)
| ~ m2_relset_1(sK4,sK0,sK1)
| spl10_1 ),
inference(subsumption_resolution,[],[f154,f108]) ).
tff(f154,plain,
( ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),sK1)
| ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK2,sK4))
| ~ m2_relset_1(sK4,sK0,sK1)
| spl10_1 ),
inference(subsumption_resolution,[],[f151,f124]) ).
tff(f151,plain,
( ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),sK1)
| ~ r1_tarski(sK2,sK0)
| ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK2,sK4))
| ~ m2_relset_1(sK4,sK0,sK1)
| spl10_1 ),
inference(resolution,[],[f150,f118]) ).
tff(f118,plain,
( ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)))
| spl10_1 ),
inference(avatar_component_clause,[],[f116]) ).
tff(f116,plain,
( spl10_1
<=> r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
tff(f150,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,X1)
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ m2_relset_1(X4,X0,X1) ),
inference(forward_literal_rewriting,[],[f149,f107]) ).
tff(f149,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ~ r1_tarski(X3,X1)
| r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(forward_literal_rewriting,[],[f97,f107]) ).
tff(f97,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f80]) ).
tff(f123,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f88,f120,f116]) ).
tff(f88,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4))) ),
inference(cnf_transformation,[],[f73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SEU449+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n028.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 : Tue Apr 30 16:35:45 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.cLbxyB2C7P/Vampire---4.8_17214
% 0.56/0.74 % (17473)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.74 % (17474)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.74 % (17467)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.74 % (17469)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74 % (17468)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.74 % (17470)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.74 % (17471)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.74 % (17472)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.74 % (17474)Refutation not found, incomplete strategy% (17474)------------------------------
% 0.56/0.74 % (17474)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (17474)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (17474)Memory used [KB]: 1068
% 0.56/0.74 % (17474)Time elapsed: 0.004 s
% 0.56/0.74 % (17474)Instructions burned: 4 (million)
% 0.56/0.74 % (17474)------------------------------
% 0.56/0.74 % (17474)------------------------------
% 0.56/0.74 % (17472)Refutation not found, incomplete strategy% (17472)------------------------------
% 0.56/0.74 % (17472)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (17472)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (17472)Memory used [KB]: 1055
% 0.56/0.74 % (17472)Time elapsed: 0.004 s
% 0.56/0.74 % (17472)Instructions burned: 4 (million)
% 0.56/0.74 % (17472)------------------------------
% 0.56/0.74 % (17472)------------------------------
% 0.56/0.75 % (17467)First to succeed.
% 0.56/0.75 % (17471)Refutation not found, incomplete strategy% (17471)------------------------------
% 0.56/0.75 % (17471)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (17471)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (17471)Memory used [KB]: 1115
% 0.56/0.75 % (17471)Time elapsed: 0.005 s
% 0.56/0.75 % (17471)Instructions burned: 6 (million)
% 0.56/0.75 % (17471)------------------------------
% 0.56/0.75 % (17471)------------------------------
% 0.56/0.75 % (17467)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for Vampire---4
% 0.56/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75 % (17467)------------------------------
% 0.56/0.75 % (17467)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (17467)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (17467)Memory used [KB]: 1092
% 0.56/0.75 % (17467)Time elapsed: 0.007 s
% 0.56/0.75 % (17467)Instructions burned: 9 (million)
% 0.56/0.75 % (17467)------------------------------
% 0.56/0.75 % (17467)------------------------------
% 0.56/0.75 % (17463)Success in time 0.373 s
% 0.56/0.75 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.56/0.75 17463 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.cLbxyB2C7P/Vampire---4.8_17214
% 0.56/0.75 % (17463)------------------------------
% 0.56/0.75 % (17463)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (17463)Termination reason: Unknown
% 0.56/0.75 % (17463)Termination phase: Unknown
% 0.56/0.75
% 0.56/0.75 % (17463)Memory used [KB]: 467
% 0.56/0.75 % (17463)Time elapsed: 0.373 s
% 0.56/0.75 % (17463)Instructions burned: 955 (million)
% 0.56/0.75 % (17463)------------------------------
% 0.56/0.75 % (17463)------------------------------
% 0.56/0.75 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 ???
% 0.56/0.75 ???
% 0.56/0.75 ???
% 0.56/0.75 ???
% 0.56/0.75 ???
% 0.56/0.75 ???
% 0.56/0.75 ???
% 0.56/0.75 ???
% 0.56/0.75 ???
% 0.56/0.75 ???
% 0.56/0.75 ???
% 0.56/0.75 ???
% 0.56/0.75 ???
% 0.56/0.75 ???
% 0.56/0.75 ???
% 0.56/0.75 ???
% 0.56/0.75 ???
% 0.56/0.75 ???
% 0.56/0.75 ???
% 0.56/0.75 ???
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------