TSTP Solution File: ANA107^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA107^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 : Mon May 20 18:41:50 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 24
% Syntax : Number of formulae : 40 ( 13 unt; 20 typ; 0 def)
% Number of atoms : 303 ( 18 equ; 0 cnn)
% Maximal formula atoms : 3 ( 15 avg)
% Number of connectives : 22 ( 14 ~; 4 |; 0 &; 0 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 47 ( 46 >; 1 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 4 con; 0-6 aty)
% Number of variables : 54 ( 5 ^ 35 !; 6 ?; 54 :)
% ( 8 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
'type/realax/real': $tType ).
thf(type_def_7,type,
'type/nums/num': $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/FINITE':
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_3,type,
'const/realax/real_le': 'type/realax/real' > 'type/realax/real' > $o ).
thf(func_def_4,type,
'const/realax/real_abs': 'type/realax/real' > 'type/realax/real' ).
thf(func_def_5,type,
'const/iterate/sum':
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/realax/real' ) > 'type/realax/real' ) ).
thf(func_def_6,type,
'const/iterate/..': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' > $o ).
thf(func_def_10,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_11,type,
sK0: 'type/nums/num' > 'type/realax/real' ).
thf(func_def_12,type,
sK1: 'type/nums/num' ).
thf(func_def_13,type,
sK2: 'type/nums/num' ).
thf(func_def_15,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_16,type,
vAND: $o > $o > $o ).
thf(func_def_17,type,
vOR: $o > $o > $o ).
thf(func_def_18,type,
vIMP: $o > $o > $o ).
thf(func_def_19,type,
vNOT: $o > $o ).
thf(func_def_20,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f52,plain,
$false,
inference(subsumption_resolution,[],[f51,f18]) ).
thf(f18,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num'] : ( vAPP(sTfun('type/nums/num',$o),$o,'const/sets/FINITE'('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1)) = $true ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num'] : ( vAPP(sTfun('type/nums/num',$o),$o,'const/sets/FINITE'('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1)) = $true ),
inference(fool_elimination,[],[f9]) ).
thf(f9,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num'] : vAPP(sTfun('type/nums/num',$o),$o,'const/sets/FINITE'('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1)),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X0: 'type/nums/num',X1: 'type/nums/num'] : vAPP(sTfun('type/nums/num',$o),$o,'const/sets/FINITE'('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',X0),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/FINITE_NUMSEG_') ).
thf(f51,plain,
$true != vAPP(sTfun('type/nums/num',$o),$o,'const/sets/FINITE'('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',sK1),sK2)),
inference(trivial_inequality_removal,[],[f48]) ).
thf(f48,plain,
( ( $true != $true )
| ( $true != vAPP(sTfun('type/nums/num',$o),$o,'const/sets/FINITE'('type/nums/num'),vAPP('type/nums/num',sTfun('type/nums/num',$o),vAPP('type/nums/num',sTfun('type/nums/num',sTfun('type/nums/num',$o)),'const/iterate/..',sK1),sK2)) )
| ( vAPP(sTfun('type/nums/num','type/realax/real'),sTfun('type/nums/num','type/realax/real'),vAPP(sTfun('type/realax/real','type/realax/real'),sTfun(sTfun('type/nums/num','type/realax/real'),sTfun('type/nums/num','type/realax/real')),bCOMB,'const/realax/real_abs'),sK0) != vAPP(sTfun('type/nums/num','type/realax/real'),sTfun('type/nums/num','type/realax/real'),vAPP(sTfun('type/realax/real','type/realax/real'),sTfun(sTfun('type/nums/num','type/realax/real'),sTfun('type/nums/num','type/realax/real')),bCOMB,'const/realax/real_abs'),sK0) ) ),
inference(constrained_superposition,[],[f17,f19]) ).
thf(f19,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',$o),'const/realax/real_le',vAPP('type/realax/real','type/realax/real','const/realax/real_abs',vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(X0),X2),X1))),vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(X0),X2),vAPP(sTfun(X0,'type/realax/real'),sTfun(X0,'type/realax/real'),vAPP(sTfun('type/realax/real','type/realax/real'),sTfun(sTfun(X0,'type/realax/real'),sTfun(X0,'type/realax/real')),bCOMB,'const/realax/real_abs'),X1))) )
| ( vAPP(sTfun(X0,$o),$o,'const/sets/FINITE'(X0),X2) != $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o] :
( ( $true = vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/realax/real','type/realax/real','const/realax/real_abs',vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(X0),X2),X1))),vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(X0),X2),vAPP(sTfun(X0,'type/realax/real'),sTfun(X0,'type/realax/real'),vAPP(sTfun('type/realax/real','type/realax/real'),sTfun(sTfun(X0,'type/realax/real'),sTfun(X0,'type/realax/real')),bCOMB,'const/realax/real_abs'),X1))) )
| ( vAPP(sTfun(X0,$o),$o,'const/sets/FINITE'(X0),X2) != $true ) ),
inference(ennf_transformation,[],[f12]) ).
thf(f12,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o] :
( ( vAPP(sTfun(X0,$o),$o,'const/sets/FINITE'(X0),X2) = $true )
=> ( $true = vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/realax/real','type/realax/real','const/realax/real_abs',vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(X0),X2),X1))),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),vAPP(sTfun(X0,'type/realax/real'),sTfun(X0,'type/realax/real'),vAPP(sTfun('type/realax/real','type/realax/real'),sTfun(sTfun(X0,'type/realax/real'),sTfun(X0,'type/realax/real')),bCOMB,'const/realax/real_abs'),X1))) ) ),
inference(fool_elimination,[],[f11]) ).
thf(f11,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o] :
( vAPP(sTfun(X0,$o),$o,'const/sets/FINITE'(X0),X2)
=> vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/realax/real','type/realax/real','const/realax/real_abs',vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(X0),X2),X1))),
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),
^ [X3: X0] : vAPP('type/realax/real','type/realax/real','const/realax/real_abs',vAPP(X0,'type/realax/real',X1,X3)))) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o] :
( vAPP(sTfun(X0,$o),$o,'const/sets/FINITE'(X0),X2)
=> vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/realax/real','type/realax/real','const/realax/real_abs',vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(X0),X2),X1))),
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),
^ [X3: X0] : vAPP('type/realax/real','type/realax/real','const/realax/real_abs',vAPP(X0,'type/realax/real',X1,X3)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/SUM_ABS_') ).
thf(f17,plain,
$true != vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/realax/real','type/realax/real','const/realax/real_abs',vAPP(sTfun('type/nums/num','type/realax/real'),'type/realax/real',vAPP(sTfun('type/nums/num',$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/..',sK1),sK2)),sK0))),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/..',sK1),sK2)),vAPP(sTfun('type/nums/num','type/realax/real'),sTfun('type/nums/num','type/realax/real'),vAPP(sTfun('type/realax/real','type/realax/real'),sTfun(sTfun('type/nums/num','type/realax/real'),sTfun('type/nums/num','type/realax/real')),bCOMB,'const/realax/real_abs'),sK0))),
inference(cnf_transformation,[],[f16]) ).
thf(f16,plain,
$true != vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/realax/real','type/realax/real','const/realax/real_abs',vAPP(sTfun('type/nums/num','type/realax/real'),'type/realax/real',vAPP(sTfun('type/nums/num',$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/..',sK1),sK2)),sK0))),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/..',sK1),sK2)),vAPP(sTfun('type/nums/num','type/realax/real'),sTfun('type/nums/num','type/realax/real'),vAPP(sTfun('type/realax/real','type/realax/real'),sTfun(sTfun('type/nums/num','type/realax/real'),sTfun('type/nums/num','type/realax/real')),bCOMB,'const/realax/real_abs'),sK0))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f13,f15]) ).
thf(f15,plain,
( ? [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num',X2: 'type/nums/num'] : ( $true != vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/realax/real','type/realax/real','const/realax/real_abs',vAPP(sTfun('type/nums/num','type/realax/real'),'type/realax/real',vAPP(sTfun('type/nums/num',$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/..',X1),X2)),X0))),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/..',X1),X2)),vAPP(sTfun('type/nums/num','type/realax/real'),sTfun('type/nums/num','type/realax/real'),vAPP(sTfun('type/realax/real','type/realax/real'),sTfun(sTfun('type/nums/num','type/realax/real'),sTfun('type/nums/num','type/realax/real')),bCOMB,'const/realax/real_abs'),X0))) )
=> ( $true != vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/realax/real','type/realax/real','const/realax/real_abs',vAPP(sTfun('type/nums/num','type/realax/real'),'type/realax/real',vAPP(sTfun('type/nums/num',$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/..',sK1),sK2)),sK0))),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/..',sK1),sK2)),vAPP(sTfun('type/nums/num','type/realax/real'),sTfun('type/nums/num','type/realax/real'),vAPP(sTfun('type/realax/real','type/realax/real'),sTfun(sTfun('type/nums/num','type/realax/real'),sTfun('type/nums/num','type/realax/real')),bCOMB,'const/realax/real_abs'),sK0))) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
? [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num',X2: 'type/nums/num'] : ( $true != vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/realax/real','type/realax/real','const/realax/real_abs',vAPP(sTfun('type/nums/num','type/realax/real'),'type/realax/real',vAPP(sTfun('type/nums/num',$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/..',X1),X2)),X0))),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/..',X1),X2)),vAPP(sTfun('type/nums/num','type/realax/real'),sTfun('type/nums/num','type/realax/real'),vAPP(sTfun('type/realax/real','type/realax/real'),sTfun(sTfun('type/nums/num','type/realax/real'),sTfun('type/nums/num','type/realax/real')),bCOMB,'const/realax/real_abs'),X0))) ),
inference(ennf_transformation,[],[f8]) ).
thf(f8,plain,
~ ! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num',X2: 'type/nums/num'] : ( $true = vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/realax/real','type/realax/real','const/realax/real_abs',vAPP(sTfun('type/nums/num','type/realax/real'),'type/realax/real',vAPP(sTfun('type/nums/num',$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/..',X1),X2)),X0))),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',$o)),'const/iterate/..',X1),X2)),vAPP(sTfun('type/nums/num','type/realax/real'),sTfun('type/nums/num','type/realax/real'),vAPP(sTfun('type/realax/real','type/realax/real'),sTfun(sTfun('type/nums/num','type/realax/real'),sTfun('type/nums/num','type/realax/real')),bCOMB,'const/realax/real_abs'),X0))) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
~ ! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num',X2: 'type/nums/num'] :
vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/realax/real','type/realax/real','const/realax/real_abs',vAPP(sTfun('type/nums/num','type/realax/real'),'type/realax/real',vAPP(sTfun('type/nums/num',$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/..',X1),X2)),X0))),
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',$o)),'const/iterate/..',X1),X2)),
^ [X3: 'type/nums/num'] : vAPP('type/realax/real','type/realax/real','const/realax/real_abs',vAPP('type/nums/num','type/realax/real',X0,X3)))),
inference(rectify,[],[f4]) ).
thf(f4,negated_conjecture,
~ ! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num',X2: 'type/nums/num'] :
vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/realax/real','type/realax/real','const/realax/real_abs',vAPP(sTfun('type/nums/num','type/realax/real'),'type/realax/real',vAPP(sTfun('type/nums/num',$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/..',X1),X2)),X0))),
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',$o)),'const/iterate/..',X1),X2)),
^ [X3: 'type/nums/num'] : vAPP('type/realax/real','type/realax/real','const/realax/real_abs',vAPP('type/nums/num','type/realax/real',X0,X3)))),
inference(negated_conjecture,[],[f3]) ).
thf(f3,conjecture,
! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num',X2: 'type/nums/num'] :
vAPP('type/realax/real',$o,vAPP('type/realax/real',sTfun('type/realax/real',$o),'const/realax/real_le',vAPP('type/realax/real','type/realax/real','const/realax/real_abs',vAPP(sTfun('type/nums/num','type/realax/real'),'type/realax/real',vAPP(sTfun('type/nums/num',$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/..',X1),X2)),X0))),
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/..',X1),X2)),
^ [X3: 'type/nums/num'] : vAPP('type/realax/real','type/realax/real','const/realax/real_abs',vAPP('type/nums/num','type/realax/real',X0,X3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/SUM_ABS_NUMSEG_') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ANA107^1 : TPTP v8.2.0. Released v7.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 07:51:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (14538)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (14539)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (14541)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.37 % (14540)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (14543)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (14542)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (14544)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (14545)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (14541)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.37 % (14542)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.37 % Exception at run slice level
% 0.15/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.37 % Exception at run slice level
% 0.15/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.37 % Exception at run slice level
% 0.15/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.37 % Exception at run slice level
% 0.15/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.38 % (14544)First to succeed.
% 0.15/0.38 % (14541)Also succeeded, but the first one will report.
% 0.15/0.38 % (14543)Also succeeded, but the first one will report.
% 0.15/0.38 % (14544)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14538"
% 0.15/0.38 % (14544)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (14544)------------------------------
% 0.15/0.38 % (14544)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (14544)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (14544)Memory used [KB]: 775
% 0.15/0.38 % (14544)Time elapsed: 0.006 s
% 0.15/0.38 % (14544)Instructions burned: 8 (million)
% 0.15/0.38 % (14538)Success in time 0.021 s
%------------------------------------------------------------------------------