TSTP Solution File: NUM516+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM516+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : n006.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 : Sun May 5 08:12:43 EDT 2024
% Result : Theorem 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 95 ( 10 unt; 1 typ; 0 def)
% Number of atoms : 1283 ( 70 equ)
% Maximal formula atoms : 9 ( 13 avg)
% Number of connectives : 409 ( 154 ~; 150 |; 85 &)
% ( 9 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 934 ( 934 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 24 ( 22 usr; 16 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 57 ( 48 !; 8 ?; 21 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_10,type,
sQ24_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f1000,plain,
$false,
inference(avatar_sat_refutation,[],[f513,f532,f567,f902,f906,f911,f938,f951,f999]) ).
tff(f999,plain,
( ~ spl25_12
| ~ spl25_38 ),
inference(avatar_contradiction_clause,[],[f998]) ).
tff(f998,plain,
( $false
| ~ spl25_12
| ~ spl25_38 ),
inference(subsumption_resolution,[],[f997,f202]) ).
tff(f202,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
tff(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/tmp/tmp.s2tR3jjYo3/Vampire---4.8_17227',m__1837) ).
tff(f997,plain,
( ~ aNaturalNumber0(xm)
| ~ spl25_12
| ~ spl25_38 ),
inference(subsumption_resolution,[],[f996,f201]) ).
tff(f201,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
tff(f996,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl25_12
| ~ spl25_38 ),
inference(subsumption_resolution,[],[f995,f526]) ).
tff(f526,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl25_12 ),
inference(avatar_component_clause,[],[f524]) ).
tff(f524,plain,
( spl25_12
<=> aNaturalNumber0(sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_12])]) ).
tff(f995,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl25_38 ),
inference(subsumption_resolution,[],[f987,f411]) ).
tff(f411,plain,
~ sQ24_eqProxy($i,xn,sdtsldt0(xn,xr)),
inference(equality_proxy_replacement,[],[f276,f368]) ).
tff(f368,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ24_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ24_eqProxy])]) ).
tff(f276,plain,
xn != sdtsldt0(xn,xr),
inference(cnf_transformation,[],[f180]) ).
tff(f180,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& ( xn = sdtpldt0(sdtsldt0(xn,xr),sK18) )
& aNaturalNumber0(sK18)
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr))
& ( xn != sdtsldt0(xn,xr) )
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f75,f179]) ).
tff(f179,plain,
( ? [X0] :
( ( xn = sdtpldt0(sdtsldt0(xn,xr),X0) )
& aNaturalNumber0(X0) )
=> ( ( xn = sdtpldt0(sdtsldt0(xn,xr),sK18) )
& aNaturalNumber0(sK18) ) ),
introduced(choice_axiom,[]) ).
tff(f75,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& ? [X0] :
( ( xn = sdtpldt0(sdtsldt0(xn,xr),X0) )
& aNaturalNumber0(X0) )
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr))
& ( xn != sdtsldt0(xn,xr) )
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(flattening,[],[f74]) ).
tff(f74,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& ? [X0] :
( ( xn = sdtpldt0(sdtsldt0(xn,xr),X0) )
& aNaturalNumber0(X0) )
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr))
& ( xn != sdtsldt0(xn,xr) )
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(ennf_transformation,[],[f53]) ).
tff(f53,axiom,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& ? [X0] :
( ( xn = sdtpldt0(sdtsldt0(xn,xr),X0) )
& aNaturalNumber0(X0) )
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr))
& ~ ( ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> ( xn = sdtsldt0(xn,xr) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.s2tR3jjYo3/Vampire---4.8_17227',m__2504) ).
tff(f987,plain,
( sQ24_eqProxy($i,xn,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl25_38 ),
inference(resolution,[],[f901,f435]) ).
tff(f435,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ sQ24_eqProxy($i,sdtpldt0(X1,X0),sdtpldt0(X2,X0))
| sQ24_eqProxy($i,X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_proxy_replacement,[],[f317,f368]) ).
tff(f317,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( X1 = X2 )
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f100]) ).
tff(f100,plain,
! [X0,X1,X2] :
( ( X1 = X2 )
| ( ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
& ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2) ) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f99]) ).
tff(f99,plain,
! [X0,X1,X2] :
( ( X1 = X2 )
| ( ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
& ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2) ) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f14]) ).
tff(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0) )
| ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2) ) )
=> ( X1 = X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.s2tR3jjYo3/Vampire---4.8_17227',mAddCanc) ).
tff(f901,plain,
( sQ24_eqProxy($i,sdtpldt0(xn,xm),sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ spl25_38 ),
inference(avatar_component_clause,[],[f899]) ).
tff(f899,plain,
( spl25_38
<=> sQ24_eqProxy($i,sdtpldt0(xn,xm),sdtpldt0(sdtsldt0(xn,xr),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_38])]) ).
tff(f951,plain,
( ~ spl25_12
| spl25_39 ),
inference(avatar_contradiction_clause,[],[f950]) ).
tff(f950,plain,
( $false
| ~ spl25_12
| spl25_39 ),
inference(subsumption_resolution,[],[f949,f411]) ).
tff(f949,plain,
( sQ24_eqProxy($i,xn,sdtsldt0(xn,xr))
| ~ spl25_12
| spl25_39 ),
inference(forward_literal_rewriting,[],[f948,f468]) ).
tff(f468,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ24_eqProxy(X0,X2,X1)
| ~ sQ24_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f368]) ).
tff(f948,plain,
( sQ24_eqProxy($i,sdtsldt0(xn,xr),xn)
| ~ spl25_12
| spl25_39 ),
inference(subsumption_resolution,[],[f947,f526]) ).
tff(f947,plain,
( sQ24_eqProxy($i,sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl25_39 ),
inference(subsumption_resolution,[],[f946,f201]) ).
tff(f946,plain,
( sQ24_eqProxy($i,sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl25_39 ),
inference(subsumption_resolution,[],[f945,f281]) ).
tff(f281,plain,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
inference(cnf_transformation,[],[f180]) ).
tff(f945,plain,
( ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| sQ24_eqProxy($i,sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl25_39 ),
inference(subsumption_resolution,[],[f941,f202]) ).
tff(f941,plain,
( ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| sQ24_eqProxy($i,sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl25_39 ),
inference(resolution,[],[f937,f424]) ).
tff(f424,plain,
! [X2: $i,X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| sQ24_eqProxy($i,X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_proxy_replacement,[],[f302,f368]) ).
tff(f302,plain,
! [X2: $i,X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f83]) ).
tff(f83,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& ( sdtpldt0(X1,X2) != sdtpldt0(X0,X2) )
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) )
| ~ aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f82]) ).
tff(f82,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& ( sdtpldt0(X1,X2) != sdtpldt0(X0,X2) )
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) )
| ~ aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f24]) ).
tff(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& ( X0 != X1 ) )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& ( sdtpldt0(X1,X2) != sdtpldt0(X0,X2) )
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.s2tR3jjYo3/Vampire---4.8_17227',mMonAdd) ).
tff(f937,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm))
| spl25_39 ),
inference(avatar_component_clause,[],[f935]) ).
tff(f935,plain,
( spl25_39
<=> sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_39])]) ).
tff(f938,plain,
( ~ spl25_39
| spl25_38
| spl25_9
| ~ spl25_36
| ~ spl25_37 ),
inference(avatar_split_clause,[],[f933,f895,f891,f510,f899,f935]) ).
tff(f510,plain,
( spl25_9
<=> sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_9])]) ).
tff(f891,plain,
( spl25_36
<=> aNaturalNumber0(sdtpldt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_36])]) ).
tff(f895,plain,
( spl25_37
<=> aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_37])]) ).
tff(f933,plain,
( sQ24_eqProxy($i,sdtpldt0(xn,xm),sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm))
| spl25_9
| ~ spl25_36
| ~ spl25_37 ),
inference(forward_literal_rewriting,[],[f932,f468]) ).
tff(f932,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm))
| sQ24_eqProxy($i,sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm))
| spl25_9
| ~ spl25_36
| ~ spl25_37 ),
inference(subsumption_resolution,[],[f931,f896]) ).
tff(f896,plain,
( aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ spl25_37 ),
inference(avatar_component_clause,[],[f895]) ).
tff(f931,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm))
| sQ24_eqProxy($i,sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| spl25_9
| ~ spl25_36 ),
inference(subsumption_resolution,[],[f930,f892]) ).
tff(f892,plain,
( aNaturalNumber0(sdtpldt0(xn,xm))
| ~ spl25_36 ),
inference(avatar_component_clause,[],[f891]) ).
tff(f930,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm))
| sQ24_eqProxy($i,sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| spl25_9 ),
inference(subsumption_resolution,[],[f928,f203]) ).
tff(f203,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
tff(f928,plain,
( ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm))
| sQ24_eqProxy($i,sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| spl25_9 ),
inference(resolution,[],[f424,f512]) ).
tff(f512,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| spl25_9 ),
inference(avatar_component_clause,[],[f510]) ).
tff(f911,plain,
( ~ spl25_12
| spl25_37 ),
inference(avatar_contradiction_clause,[],[f910]) ).
tff(f910,plain,
( $false
| ~ spl25_12
| spl25_37 ),
inference(subsumption_resolution,[],[f909,f526]) ).
tff(f909,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl25_37 ),
inference(subsumption_resolution,[],[f908,f202]) ).
tff(f908,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl25_37 ),
inference(resolution,[],[f897,f329]) ).
tff(f329,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f116]) ).
tff(f116,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f115]) ).
tff(f115,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
tff(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.s2tR3jjYo3/Vampire---4.8_17227',mSortsB) ).
tff(f897,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| spl25_37 ),
inference(avatar_component_clause,[],[f895]) ).
tff(f906,plain,
spl25_36,
inference(avatar_contradiction_clause,[],[f905]) ).
tff(f905,plain,
( $false
| spl25_36 ),
inference(subsumption_resolution,[],[f904,f201]) ).
tff(f904,plain,
( ~ aNaturalNumber0(xn)
| spl25_36 ),
inference(subsumption_resolution,[],[f903,f202]) ).
tff(f903,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl25_36 ),
inference(resolution,[],[f893,f329]) ).
tff(f893,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| spl25_36 ),
inference(avatar_component_clause,[],[f891]) ).
tff(f902,plain,
( ~ spl25_36
| ~ spl25_37
| spl25_38
| ~ spl25_13 ),
inference(avatar_split_clause,[],[f889,f529,f899,f895,f891]) ).
tff(f529,plain,
( spl25_13
<=> sQ24_eqProxy($i,sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_13])]) ).
tff(f889,plain,
( sQ24_eqProxy($i,sdtpldt0(xn,xm),sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ spl25_13 ),
inference(subsumption_resolution,[],[f888,f203]) ).
tff(f888,plain,
( sQ24_eqProxy($i,sdtpldt0(xn,xm),sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ spl25_13 ),
inference(resolution,[],[f531,f435]) ).
tff(f531,plain,
( sQ24_eqProxy($i,sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| ~ spl25_13 ),
inference(avatar_component_clause,[],[f529]) ).
tff(f567,plain,
spl25_12,
inference(avatar_split_clause,[],[f282,f524]) ).
tff(f282,plain,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f182]) ).
tff(f182,plain,
( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
& ( sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sK19) )
& aNaturalNumber0(sK19)
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f54,f181]) ).
tff(f181,plain,
( ? [X0] :
( ( sdtasdt0(xp,X0) = sdtasdt0(sdtsldt0(xn,xr),xm) )
& aNaturalNumber0(X0) )
=> ( ( sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sK19) )
& aNaturalNumber0(sK19) ) ),
introduced(choice_axiom,[]) ).
tff(f54,axiom,
( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
& ? [X0] :
( ( sdtasdt0(xp,X0) = sdtasdt0(sdtsldt0(xn,xr),xm) )
& aNaturalNumber0(X0) )
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
file('/export/starexec/sandbox/tmp/tmp.s2tR3jjYo3/Vampire---4.8_17227',m__2529) ).
tff(f532,plain,
( spl25_13
| spl25_8 ),
inference(avatar_split_clause,[],[f417,f506,f529]) ).
tff(f506,plain,
( spl25_8
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_8])]) ).
tff(f417,plain,
( sP3
| sQ24_eqProxy($i,sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)) ),
inference(equality_proxy_replacement,[],[f293,f368]) ).
tff(f293,plain,
( sP3
| ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) ) ),
inference(cnf_transformation,[],[f146]) ).
tff(f146,plain,
( sP3
| ( ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) )
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) ) ),
inference(definition_folding,[],[f77,f145]) ).
tff(f145,plain,
( ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
& ! [X0] :
( ( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X0) )
| ~ aNaturalNumber0(X0) )
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
tff(f77,plain,
( ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
& ! [X0] :
( ( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X0) )
| ~ aNaturalNumber0(X0) )
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) )
| ( ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) )
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) ) ),
inference(flattening,[],[f76]) ).
tff(f76,plain,
( ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
& ! [X0] :
( ( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X0) )
| ~ aNaturalNumber0(X0) )
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) )
| ( ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) )
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) ) ),
inference(ennf_transformation,[],[f56]) ).
tff(f56,negated_conjecture,
~ ( ( ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> ( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ? [X0] :
( ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X0) )
& aNaturalNumber0(X0) ) ) )
& ~ ( ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) )
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) ) ),
inference(negated_conjecture,[],[f55]) ).
tff(f55,conjecture,
( ( ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> ( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ? [X0] :
( ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X0) )
& aNaturalNumber0(X0) ) ) )
& ~ ( ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) )
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) ) ),
file('/export/starexec/sandbox/tmp/tmp.s2tR3jjYo3/Vampire---4.8_17227',m__) ).
tff(f513,plain,
( ~ spl25_8
| ~ spl25_9 ),
inference(avatar_split_clause,[],[f290,f510,f506]) ).
tff(f290,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ sP3 ),
inference(cnf_transformation,[],[f183]) ).
tff(f183,plain,
( ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
& ! [X0] :
( ( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X0) )
| ~ aNaturalNumber0(X0) )
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) )
| ~ sP3 ),
inference(nnf_transformation,[],[f145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM516+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % 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
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 14:14:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.s2tR3jjYo3/Vampire---4.8_17227
% 0.59/0.75 % (17623)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)
% 0.59/0.75 % (17616)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)
% 0.59/0.75 % (17618)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75 % (17617)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)
% 0.59/0.75 % (17620)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)
% 0.59/0.75 % (17619)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)
% 0.59/0.75 % (17621)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)
% 0.59/0.75 % (17622)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)
% 0.60/0.76 % (17619)Instruction limit reached!
% 0.60/0.76 % (17619)------------------------------
% 0.60/0.76 % (17619)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (17619)Termination reason: Unknown
% 0.60/0.76 % (17619)Termination phase: Saturation
% 0.60/0.76
% 0.60/0.76 % (17619)Memory used [KB]: 1701
% 0.60/0.76 % (17619)Time elapsed: 0.018 s
% 0.60/0.76 % (17619)Instructions burned: 33 (million)
% 0.60/0.76 % (17619)------------------------------
% 0.60/0.76 % (17619)------------------------------
% 0.60/0.76 % (17623)Instruction limit reached!
% 0.60/0.76 % (17623)------------------------------
% 0.60/0.76 % (17623)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (17623)Termination reason: Unknown
% 0.60/0.76 % (17623)Termination phase: Saturation
% 0.60/0.76
% 0.60/0.76 % (17623)Memory used [KB]: 1797
% 0.60/0.76 % (17623)Time elapsed: 0.019 s
% 0.60/0.76 % (17623)Instructions burned: 56 (million)
% 0.60/0.76 % (17623)------------------------------
% 0.60/0.76 % (17623)------------------------------
% 0.60/0.77 % (17616)First to succeed.
% 0.60/0.77 % (17620)Instruction limit reached!
% 0.60/0.77 % (17620)------------------------------
% 0.60/0.77 % (17620)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (17620)Termination reason: Unknown
% 0.60/0.77 % (17620)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (17620)Memory used [KB]: 1688
% 0.60/0.77 % (17620)Time elapsed: 0.020 s
% 0.60/0.77 % (17620)Instructions burned: 35 (million)
% 0.60/0.77 % (17620)------------------------------
% 0.60/0.77 % (17620)------------------------------
% 0.60/0.77 % (17616)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17469"
% 0.60/0.77 % (17632)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.77 % (17616)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Theorem for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (17616)------------------------------
% 0.60/0.77 % (17616)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (17616)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (17616)Memory used [KB]: 1364
% 0.60/0.77 % (17616)Time elapsed: 0.021 s
% 0.60/0.77 % (17616)Instructions burned: 33 (million)
% 0.60/0.77 % (17469)Success in time 0.412 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------