TSTP Solution File: SEV514^1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV514^1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 09:45:21 EDT 2024
% Result : Theorem 0.10s 0.34s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 29
% Syntax : Number of formulae : 58 ( 8 unt; 24 typ; 0 def)
% Number of atoms : 698 ( 69 equ; 0 cnn)
% Maximal formula atoms : 8 ( 20 avg)
% Number of connectives : 86 ( 30 ~; 25 |; 15 &; 0 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 62 ( 61 >; 1 *; 0 +; 0 <<)
% Number of symbols : 27 ( 24 usr; 5 con; 0-6 aty)
% Number of variables : 98 ( 0 ^ 78 !; 11 ?; 98 :)
% ( 9 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
'type/nums/num': $tType ).
thf(type_def_7,type,
'type/realax/real': $tType ).
thf(func_def_0,type,
'type/realax/real': $tType ).
thf(func_def_1,type,
'type/nums/num': $tType ).
thf(func_def_2,type,
'const/sets/IN':
!>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).
thf(func_def_3,type,
'const/realax/real_of_num': 'type/nums/num' > 'type/realax/real' ).
thf(func_def_4,type,
'const/realax/real_le': 'type/realax/real' > 'type/realax/real' > $o ).
thf(func_def_5,type,
'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num' ).
thf(func_def_6,type,
'const/nums/_0': 'type/nums/num' ).
thf(func_def_7,type,
'const/iterate/sum':
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/realax/real' ) > 'type/realax/real' ) ).
thf(func_def_8,type,
'const/iterate/..': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' > $o ).
thf(func_def_9,type,
'const/arith/<=': 'type/nums/num' > 'type/nums/num' > $o ).
thf(func_def_13,type,
vAND: $o > $o > $o ).
thf(func_def_14,type,
sK0: 'type/nums/num' ).
thf(func_def_15,type,
sK1: 'type/nums/num' ).
thf(func_def_16,type,
sK2: 'type/nums/num' > 'type/realax/real' ).
thf(func_def_17,type,
sK3:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/realax/real' ) > X0 ) ).
thf(func_def_18,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_19,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_20,type,
vOR: $o > $o > $o ).
thf(func_def_21,type,
vIMP: $o > $o > $o ).
thf(func_def_22,type,
vNOT: $o > $o ).
thf(func_def_23,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f114,plain,
$false,
inference(unit_resulting_resolution,[],[f21,f109,f24]) ).
thf(f24,plain,
! [X0: $tType,X2: X0 > $o,X1: X0 > 'type/realax/real'] :
( ( $true != vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(X0,'type/realax/real',X1,vAPP(sTfun(X0,'type/realax/real'),X0,vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),X0),sK3(X0),X2),X1))) )
| ( vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(X0),X2),X1)) = $true ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f19,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o] :
( ( vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(X0),X2),X1)) = $true )
| ( ( $true != vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(X0,'type/realax/real',X1,vAPP(sTfun(X0,'type/realax/real'),X0,vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),X0),sK3(X0),X2),X1))) )
& ( $true = vAPP(sTfun(X0,$o),$o,vAPP(X0,sTfun(sTfun(X0,$o),$o),'const/sets/IN'(X0),vAPP(sTfun(X0,'type/realax/real'),X0,vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),X0),sK3(X0),X2),X1)),X2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f15,f18]) ).
thf(f18,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o] :
( ? [X3: X0] :
( ( vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(X0,'type/realax/real',X1,X3)) != $true )
& ( vAPP(sTfun(X0,$o),$o,vAPP(X0,sTfun(sTfun(X0,$o),$o),'const/sets/IN'(X0),X3),X2) = $true ) )
=> ( ( $true != vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(X0,'type/realax/real',X1,vAPP(sTfun(X0,'type/realax/real'),X0,vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),X0),sK3(X0),X2),X1))) )
& ( $true = vAPP(sTfun(X0,$o),$o,vAPP(X0,sTfun(sTfun(X0,$o),$o),'const/sets/IN'(X0),vAPP(sTfun(X0,'type/realax/real'),X0,vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),X0),sK3(X0),X2),X1)),X2) ) ) ),
introduced(choice_axiom,[]) ).
thf(f15,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o] :
( ( vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(X0),X2),X1)) = $true )
| ? [X3: X0] :
( ( vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(X0,'type/realax/real',X1,X3)) != $true )
& ( vAPP(sTfun(X0,$o),$o,vAPP(X0,sTfun(sTfun(X0,$o),$o),'const/sets/IN'(X0),X3),X2) = $true ) ) ),
inference(ennf_transformation,[],[f12]) ).
thf(f12,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o] :
( ! [X3: X0] :
( ( vAPP(sTfun(X0,$o),$o,vAPP(X0,sTfun(sTfun(X0,$o),$o),'const/sets/IN'(X0),X3),X2) = $true )
=> ( vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(X0,'type/realax/real',X1,X3)) = $true ) )
=> ( vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(X0),X2),X1)) = $true ) ),
inference(fool_elimination,[],[f11]) ).
thf(f11,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o] :
( ! [X3: X0] :
( vAPP(sTfun(X0,$o),$o,vAPP(X0,sTfun(sTfun(X0,$o),$o),'const/sets/IN'(X0),X3),X2)
=> vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(X0,'type/realax/real',X1,X3)) )
=> vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(X0),X2),X1)) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o] :
( ! [X3: X0] :
( vAPP(sTfun(X0,$o),$o,vAPP(X0,sTfun(sTfun(X0,$o),$o),'const/sets/IN'(X0),X3),X2)
=> vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(X0,'type/realax/real',X1,X3)) )
=> vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(X0),X2),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/SUM_POS_LE_') ).
thf(f109,plain,
$true = vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP('type/nums/num','type/realax/real',sK2,vAPP(sTfun('type/nums/num','type/realax/real'),'type/nums/num',vAPP(sTfun('type/nums/num',$o),sTfun(sTfun('type/nums/num','type/realax/real'),'type/nums/num'),sK3('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',sK0),sK1)),sK2))),
inference(unit_resulting_resolution,[],[f105,f108,f20]) ).
thf(f20,plain,
! [X3: 'type/nums/num'] :
( ( $true != vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X3),sK1) )
| ( $true = vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP('type/nums/num','type/realax/real',sK2,X3)) )
| ( $true != vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',sK0),X3) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f17,plain,
( ( $true != vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(sTfun('type/nums/num','type/realax/real'),'type/realax/real',vAPP(sTfun('type/nums/num',$o),sTfun(sTfun('type/nums/num','type/realax/real'),'type/realax/real'),'const/iterate/sum'('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',sK0),sK1)),sK2)) )
& ! [X3: 'type/nums/num'] :
( ( $true = vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP('type/nums/num','type/realax/real',sK2,X3)) )
| ( $true != vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X3),sK1) )
| ( $true != vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',sK0),X3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f14,f16]) ).
thf(f16,plain,
( ? [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num' > 'type/realax/real'] :
( ( vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(sTfun('type/nums/num','type/realax/real'),'type/realax/real',vAPP(sTfun('type/nums/num',$o),sTfun(sTfun('type/nums/num','type/realax/real'),'type/realax/real'),'const/iterate/sum'('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1)),X2)) != $true )
& ! [X3: 'type/nums/num'] :
( ( vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP('type/nums/num','type/realax/real',X2,X3)) = $true )
| ( vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X3),X1) != $true )
| ( vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X0),X3) != $true ) ) )
=> ( ( $true != vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(sTfun('type/nums/num','type/realax/real'),'type/realax/real',vAPP(sTfun('type/nums/num',$o),sTfun(sTfun('type/nums/num','type/realax/real'),'type/realax/real'),'const/iterate/sum'('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',sK0),sK1)),sK2)) )
& ! [X3: 'type/nums/num'] :
( ( $true = vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP('type/nums/num','type/realax/real',sK2,X3)) )
| ( $true != vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X3),sK1) )
| ( $true != vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',sK0),X3) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f14,plain,
? [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num' > 'type/realax/real'] :
( ( vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(sTfun('type/nums/num','type/realax/real'),'type/realax/real',vAPP(sTfun('type/nums/num',$o),sTfun(sTfun('type/nums/num','type/realax/real'),'type/realax/real'),'const/iterate/sum'('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1)),X2)) != $true )
& ! [X3: 'type/nums/num'] :
( ( vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP('type/nums/num','type/realax/real',X2,X3)) = $true )
| ( vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X3),X1) != $true )
| ( vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X0),X3) != $true ) ) ),
inference(flattening,[],[f13]) ).
thf(f13,plain,
? [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num' > 'type/realax/real'] :
( ( vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(sTfun('type/nums/num','type/realax/real'),'type/realax/real',vAPP(sTfun('type/nums/num',$o),sTfun(sTfun('type/nums/num','type/realax/real'),'type/realax/real'),'const/iterate/sum'('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1)),X2)) != $true )
& ! [X3: 'type/nums/num'] :
( ( vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP('type/nums/num','type/realax/real',X2,X3)) = $true )
| ( vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X3),X1) != $true )
| ( vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X0),X3) != $true ) ) ),
inference(ennf_transformation,[],[f8]) ).
thf(f8,plain,
~ ! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num' > 'type/realax/real'] :
( ! [X3: 'type/nums/num'] :
( ( ( vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X3),X1) = $true )
& ( vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X0),X3) = $true ) )
=> ( vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP('type/nums/num','type/realax/real',X2,X3)) = $true ) )
=> ( vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(sTfun('type/nums/num','type/realax/real'),'type/realax/real',vAPP(sTfun('type/nums/num',$o),sTfun(sTfun('type/nums/num','type/realax/real'),'type/realax/real'),'const/iterate/sum'('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1)),X2)) = $true ) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
~ ! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num' > 'type/realax/real'] :
( ! [X3: 'type/nums/num'] :
( ( vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X3),X1)
& vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X0),X3) )
=> vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP('type/nums/num','type/realax/real',X2,X3)) )
=> vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(sTfun('type/nums/num','type/realax/real'),'type/realax/real',vAPP(sTfun('type/nums/num',$o),sTfun(sTfun('type/nums/num','type/realax/real'),'type/realax/real'),'const/iterate/sum'('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1)),X2)) ),
inference(rectify,[],[f4]) ).
thf(f4,negated_conjecture,
~ ! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num' > 'type/realax/real'] :
( ! [X3: 'type/nums/num'] :
( ( vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X3),X1)
& vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X0),X3) )
=> vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP('type/nums/num','type/realax/real',X2,X3)) )
=> vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(sTfun('type/nums/num','type/realax/real'),'type/realax/real',vAPP(sTfun('type/nums/num',$o),sTfun(sTfun('type/nums/num','type/realax/real'),'type/realax/real'),'const/iterate/sum'('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1)),X2)) ),
inference(negated_conjecture,[],[f3]) ).
thf(f3,conjecture,
! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num' > 'type/realax/real'] :
( ! [X3: 'type/nums/num'] :
( ( vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X3),X1)
& vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X0),X3) )
=> vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP('type/nums/num','type/realax/real',X2,X3)) )
=> vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(sTfun('type/nums/num','type/realax/real'),'type/realax/real',vAPP(sTfun('type/nums/num',$o),sTfun(sTfun('type/nums/num','type/realax/real'),'type/realax/real'),'const/iterate/sum'('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1)),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/SUM_POS_LE_NUMSEG_') ).
thf(f108,plain,
$true = vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',sK0),vAPP(sTfun('type/nums/num','type/realax/real'),'type/nums/num',vAPP(sTfun('type/nums/num',$o),sTfun(sTfun('type/nums/num','type/realax/real'),'type/nums/num'),sK3('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',sK0),sK1)),sK2)),
inference(equality_resolution,[],[f104]) ).
thf(f104,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1) != vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',sK0),sK1) )
| ( $true = vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X0),vAPP(sTfun('type/nums/num','type/realax/real'),'type/nums/num',vAPP(sTfun('type/nums/num',$o),sTfun(sTfun('type/nums/num','type/realax/real'),'type/nums/num'),sK3('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',sK0),sK1)),sK2)) ) ),
inference(trivial_inequality_removal,[],[f97]) ).
thf(f97,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( $true = $false )
| ( $true = vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X0),vAPP(sTfun('type/nums/num','type/realax/real'),'type/nums/num',vAPP(sTfun('type/nums/num',$o),sTfun(sTfun('type/nums/num','type/realax/real'),'type/nums/num'),sK3('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',sK0),sK1)),sK2)) )
| ( vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1) != vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',sK0),sK1) ) ),
inference(constrained_superposition,[],[f84,f28]) ).
thf(f28,plain,
! [X2: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( vAPP(sTfun('type/nums/num',$o),$o,vAPP('type/nums/num',sTfun(sTfun('type/nums/num',$o),$o),'const/sets/IN'('type/nums/num'),X2),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1)) = $false )
| ( vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X0),X2) = $true ) ),
inference(binary_proxy_clausification,[],[f26]) ).
thf(f26,plain,
! [X2: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( vAPP(sTfun('type/nums/num',$o),$o,vAPP('type/nums/num',sTfun(sTfun('type/nums/num',$o),$o),'const/sets/IN'('type/nums/num'),X2),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1)) = $false )
| ( $true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X0),X2)),vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X2),X1)) ) ),
inference(binary_proxy_clausification,[],[f22]) ).
thf(f22,plain,
! [X2: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] : ( vAPP(sTfun('type/nums/num',$o),$o,vAPP('type/nums/num',sTfun(sTfun('type/nums/num',$o),$o),'const/sets/IN'('type/nums/num'),X2),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1)) = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X0),X2)),vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X2),X1)) ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num'] : ( vAPP(sTfun('type/nums/num',$o),$o,vAPP('type/nums/num',sTfun(sTfun('type/nums/num',$o),$o),'const/sets/IN'('type/nums/num'),X2),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1)) = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X0),X2)),vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X2),X1)) ),
inference(fool_elimination,[],[f9]) ).
thf(f9,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num'] :
( ( vAPP(sTfun('type/nums/num',$o),$o,vAPP('type/nums/num',sTfun(sTfun('type/nums/num',$o),$o),'const/sets/IN'('type/nums/num'),X2),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1)) = vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X2),X1) )
& vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X0),X2) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num'] :
( ( vAPP(sTfun('type/nums/num',$o),$o,vAPP('type/nums/num',sTfun(sTfun('type/nums/num',$o),$o),'const/sets/IN'('type/nums/num'),X2),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1)) = vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X2),X1) )
& vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X0),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/IN_NUMSEG_') ).
thf(f84,plain,
$true = vAPP(sTfun('type/nums/num',$o),$o,vAPP('type/nums/num',sTfun(sTfun('type/nums/num',$o),$o),'const/sets/IN'('type/nums/num'),vAPP(sTfun('type/nums/num','type/realax/real'),'type/nums/num',vAPP(sTfun('type/nums/num',$o),sTfun(sTfun('type/nums/num','type/realax/real'),'type/nums/num'),sK3('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',sK0),sK1)),sK2)),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',sK0),sK1)),
inference(unit_resulting_resolution,[],[f21,f23]) ).
thf(f23,plain,
! [X0: $tType,X2: X0 > $o,X1: X0 > 'type/realax/real'] :
( ( vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(X0),X2),X1)) = $true )
| ( $true = vAPP(sTfun(X0,$o),$o,vAPP(X0,sTfun(sTfun(X0,$o),$o),'const/sets/IN'(X0),vAPP(sTfun(X0,'type/realax/real'),X0,vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),X0),sK3(X0),X2),X1)),X2) ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f105,plain,
$true = vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',vAPP(sTfun('type/nums/num','type/realax/real'),'type/nums/num',vAPP(sTfun('type/nums/num',$o),sTfun(sTfun('type/nums/num','type/realax/real'),'type/nums/num'),sK3('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',sK0),sK1)),sK2)),sK1),
inference(equality_resolution,[],[f103]) ).
thf(f103,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1) != vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',sK0),sK1) )
| ( $true = vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',vAPP(sTfun('type/nums/num','type/realax/real'),'type/nums/num',vAPP(sTfun('type/nums/num',$o),sTfun(sTfun('type/nums/num','type/realax/real'),'type/nums/num'),sK3('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',sK0),sK1)),sK2)),X1) ) ),
inference(trivial_inequality_removal,[],[f98]) ).
thf(f98,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( $true = $false )
| ( $true = vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',vAPP(sTfun('type/nums/num','type/realax/real'),'type/nums/num',vAPP(sTfun('type/nums/num',$o),sTfun(sTfun('type/nums/num','type/realax/real'),'type/nums/num'),sK3('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',sK0),sK1)),sK2)),X1) )
| ( vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1) != vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',sK0),sK1) ) ),
inference(constrained_superposition,[],[f84,f27]) ).
thf(f27,plain,
! [X2: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( vAPP(sTfun('type/nums/num',$o),$o,vAPP('type/nums/num',sTfun(sTfun('type/nums/num',$o),$o),'const/sets/IN'('type/nums/num'),X2),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1)) = $false )
| ( vAPP('type/nums/num',$o,vAPP('type/nums/num',sTfun('type/nums/num',$o),'const/arith/<=',X2),X1) = $true ) ),
inference(binary_proxy_clausification,[],[f26]) ).
thf(f21,plain,
$true != vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0'))),vAPP(sTfun('type/nums/num','type/realax/real'),'type/realax/real',vAPP(sTfun('type/nums/num',$o),sTfun(sTfun('type/nums/num','type/realax/real'),'type/realax/real'),'const/iterate/sum'('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',sK0),sK1)),sK2)),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SEV514^1 : TPTP v8.1.2. Released v7.0.0.
% 0.02/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n010.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri May 3 11:52:03 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.33 % (26393)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.34 % (26396)WARNING: value z3 for option sas not known
% 0.10/0.34 % (26397)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.34 % (26395)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.34 % (26396)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.10/0.34 % (26400)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.10/0.34 % (26400)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.10/0.34 % (26399)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.10/0.34 % Exception at run slice level% Exception at run slice level
% 0.10/0.34
% 0.10/0.34 User error: User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructsFinite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.10/0.34
% 0.10/0.34 % (26398)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.10/0.34 % (26400)First to succeed.
% 0.10/0.34 % (26396)Also succeeded, but the first one will report.
% 0.10/0.34 % (26400)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26393"
% 0.10/0.34 % (26400)Refutation found. Thanks to Tanya!
% 0.10/0.34 % SZS status Theorem for theBenchmark
% 0.10/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.34 % (26400)------------------------------
% 0.10/0.34 % (26400)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.10/0.34 % (26400)Termination reason: Refutation
% 0.10/0.34
% 0.10/0.34 % (26400)Memory used [KB]: 881
% 0.10/0.34 % (26400)Time elapsed: 0.007 s
% 0.10/0.34 % (26400)Instructions burned: 19 (million)
% 0.10/0.34 % (26393)Success in time 0.013 s
%------------------------------------------------------------------------------