TSTP Solution File: SEV507^1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV507^1 : 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 : n014.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 09:45:20 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 33
% Syntax : Number of formulae : 51 ( 17 unt; 27 typ; 0 def)
% Number of atoms : 282 ( 32 equ; 0 cnn)
% Maximal formula atoms : 4 ( 11 avg)
% Number of connectives : 26 ( 11 ~; 4 |; 4 &; 0 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 83 ( 82 >; 1 *; 0 +; 0 <<)
% Number of symbols : 35 ( 32 usr; 3 con; 0-6 aty)
% Number of variables : 68 ( 0 ^ 48 !; 4 ?; 68 :)
% ( 16 !>; 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(type_def_8,type,
sK0: $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/INSERT':
!>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 > $o ) ).
thf(func_def_3,type,
'const/sets/IN':
!>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).
thf(func_def_4,type,
'const/sets/FINITE':
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_5,type,
'const/sets/EMPTY':
!>[X0: $tType] : ( X0 > $o ) ).
thf(func_def_6,type,
'const/realax/real_of_num': 'type/nums/num' > 'type/realax/real' ).
thf(func_def_7,type,
'const/realax/real_add': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
thf(func_def_8,type,
'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num' ).
thf(func_def_9,type,
'const/nums/_0': 'type/nums/num' ).
thf(func_def_10,type,
'const/iterate/sum':
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/realax/real' ) > 'type/realax/real' ) ).
thf(func_def_11,type,
'const/iterate/neutral':
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_12,type,
'const/iterate/monoidal':
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > $o ) ).
thf(func_def_13,type,
'const/iterate/iterate':
!>[X0: $tType,X1: $tType] : ( ( X1 > X1 > X1 ) > ( X0 > $o ) > ( X0 > X1 ) > X1 ) ).
thf(func_def_14,type,
'const/class/COND':
!>[X0: $tType] : ( $o > X0 > X0 > X0 ) ).
thf(func_def_18,type,
sK1: sK0 > 'type/realax/real' ).
thf(func_def_19,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_20,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_21,type,
vAND: $o > $o > $o ).
thf(func_def_22,type,
vOR: $o > $o > $o ).
thf(func_def_23,type,
vIMP: $o > $o > $o ).
thf(func_def_24,type,
vNOT: $o > $o ).
thf(func_def_25,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f64,plain,
$false,
inference(trivial_inequality_removal,[],[f63]) ).
thf(f63,plain,
( ( 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','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0')) )
| ( 'const/sets/EMPTY'(sK0) != 'const/sets/EMPTY'(sK0) ) ),
inference(constrained_superposition,[],[f17,f59]) ).
thf(f59,plain,
! [X0: $tType,X1: X0 > 'type/realax/real'] : ( vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0')) = vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(X0),'const/sets/EMPTY'(X0)),X1) ),
inference(forward_demodulation,[],[f58,f18]) ).
thf(f18,plain,
vAPP(sTfun('type/realax/real',sTfun('type/realax/real','type/realax/real')),'type/realax/real','const/iterate/neutral'('type/realax/real'),'const/realax/real_add') = 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')),
inference(cnf_transformation,[],[f4]) ).
thf(f4,axiom,
vAPP(sTfun('type/realax/real',sTfun('type/realax/real','type/realax/real')),'type/realax/real','const/iterate/neutral'('type/realax/real'),'const/realax/real_add') = 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')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/NEUTRAL_REAL_ADD_') ).
thf(f58,plain,
! [X0: $tType,X1: X0 > 'type/realax/real'] : ( vAPP(sTfun('type/realax/real',sTfun('type/realax/real','type/realax/real')),'type/realax/real','const/iterate/neutral'('type/realax/real'),'const/realax/real_add') = vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(X0),'const/sets/EMPTY'(X0)),X1) ),
inference(forward_demodulation,[],[f53,f19]) ).
thf(f19,plain,
! [X0: $tType] : ( 'const/iterate/sum'(X0) = vAPP(sTfun('type/realax/real',sTfun('type/realax/real','type/realax/real')),sTfun(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real')),'const/iterate/iterate'(X0,'type/realax/real'),'const/realax/real_add') ),
inference(cnf_transformation,[],[f3]) ).
thf(f3,axiom,
! [X0: $tType] : ( 'const/iterate/sum'(X0) = vAPP(sTfun('type/realax/real',sTfun('type/realax/real','type/realax/real')),sTfun(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real')),'const/iterate/iterate'(X0,'type/realax/real'),'const/realax/real_add') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/sum_') ).
thf(f53,plain,
! [X0: $tType,X1: X0 > 'type/realax/real'] : ( vAPP(sTfun('type/realax/real',sTfun('type/realax/real','type/realax/real')),'type/realax/real','const/iterate/neutral'('type/realax/real'),'const/realax/real_add') = vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),vAPP(sTfun('type/realax/real',sTfun('type/realax/real','type/realax/real')),sTfun(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real')),'const/iterate/iterate'(X0,'type/realax/real'),'const/realax/real_add'),'const/sets/EMPTY'(X0)),X1) ),
inference(unit_resulting_resolution,[],[f22,f20]) ).
thf(f20,plain,
! [X0: $tType,X2: $tType,X3: X2 > X2 > X2,X7: X0 > X2] :
( ( vAPP(sTfun(X2,sTfun(X2,X2)),$o,'const/iterate/monoidal'(X2),X3) != $true )
| ( vAPP(sTfun(X2,sTfun(X2,X2)),X2,'const/iterate/neutral'(X2),X3) = vAPP(sTfun(X0,X2),X2,vAPP(sTfun(X0,$o),sTfun(sTfun(X0,X2),X2),vAPP(sTfun(X2,sTfun(X2,X2)),sTfun(sTfun(X0,$o),sTfun(sTfun(X0,X2),X2)),'const/iterate/iterate'(X0,X2),X3),'const/sets/EMPTY'(X0)),X7) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
! [X0: $tType,X1: $tType,X2: $tType,X3: X2 > X2 > X2] :
( ( ! [X4: X1 > X2,X5: X1,X6: X1 > $o] :
( ( vAPP(sTfun(X1,X2),X2,vAPP(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2),vAPP(sTfun(X2,sTfun(X2,X2)),sTfun(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2)),'const/iterate/iterate'(X1,X2),X3),vAPP(sTfun(X1,$o),sTfun(X1,$o),vAPP(X1,sTfun(sTfun(X1,$o),sTfun(X1,$o)),'const/sets/INSERT'(X1),X5),X6)),X4) = vAPP(X2,X2,vAPP(X2,sTfun(X2,X2),vAPP($o,sTfun(X2,sTfun(X2,X2)),'const/class/COND'(X2),vAPP(sTfun(X1,$o),$o,vAPP(X1,sTfun(sTfun(X1,$o),$o),'const/sets/IN'(X1),X5),X6)),vAPP(sTfun(X1,X2),X2,vAPP(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2),vAPP(sTfun(X2,sTfun(X2,X2)),sTfun(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2)),'const/iterate/iterate'(X1,X2),X3),X6),X4)),vAPP(X2,X2,vAPP(X2,sTfun(X2,X2),X3,vAPP(X1,X2,X4,X5)),vAPP(sTfun(X1,X2),X2,vAPP(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2),vAPP(sTfun(X2,sTfun(X2,X2)),sTfun(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2)),'const/iterate/iterate'(X1,X2),X3),X6),X4))) )
| ( vAPP(sTfun(X1,$o),$o,'const/sets/FINITE'(X1),X6) != $true ) )
& ! [X7: X0 > X2] : ( vAPP(sTfun(X2,sTfun(X2,X2)),X2,'const/iterate/neutral'(X2),X3) = vAPP(sTfun(X0,X2),X2,vAPP(sTfun(X0,$o),sTfun(sTfun(X0,X2),X2),vAPP(sTfun(X2,sTfun(X2,X2)),sTfun(sTfun(X0,$o),sTfun(sTfun(X0,X2),X2)),'const/iterate/iterate'(X0,X2),X3),'const/sets/EMPTY'(X0)),X7) ) )
| ( vAPP(sTfun(X2,sTfun(X2,X2)),$o,'const/iterate/monoidal'(X2),X3) != $true ) ),
inference(ennf_transformation,[],[f10]) ).
thf(f10,plain,
! [X0: $tType,X1: $tType,X2: $tType,X3: X2 > X2 > X2] :
( ( vAPP(sTfun(X2,sTfun(X2,X2)),$o,'const/iterate/monoidal'(X2),X3) = $true )
=> ( ! [X4: X1 > X2,X5: X1,X6: X1 > $o] :
( ( vAPP(sTfun(X1,$o),$o,'const/sets/FINITE'(X1),X6) = $true )
=> ( vAPP(sTfun(X1,X2),X2,vAPP(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2),vAPP(sTfun(X2,sTfun(X2,X2)),sTfun(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2)),'const/iterate/iterate'(X1,X2),X3),vAPP(sTfun(X1,$o),sTfun(X1,$o),vAPP(X1,sTfun(sTfun(X1,$o),sTfun(X1,$o)),'const/sets/INSERT'(X1),X5),X6)),X4) = vAPP(X2,X2,vAPP(X2,sTfun(X2,X2),vAPP($o,sTfun(X2,sTfun(X2,X2)),'const/class/COND'(X2),vAPP(sTfun(X1,$o),$o,vAPP(X1,sTfun(sTfun(X1,$o),$o),'const/sets/IN'(X1),X5),X6)),vAPP(sTfun(X1,X2),X2,vAPP(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2),vAPP(sTfun(X2,sTfun(X2,X2)),sTfun(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2)),'const/iterate/iterate'(X1,X2),X3),X6),X4)),vAPP(X2,X2,vAPP(X2,sTfun(X2,X2),X3,vAPP(X1,X2,X4,X5)),vAPP(sTfun(X1,X2),X2,vAPP(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2),vAPP(sTfun(X2,sTfun(X2,X2)),sTfun(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2)),'const/iterate/iterate'(X1,X2),X3),X6),X4))) ) )
& ! [X7: X0 > X2] : ( vAPP(sTfun(X2,sTfun(X2,X2)),X2,'const/iterate/neutral'(X2),X3) = vAPP(sTfun(X0,X2),X2,vAPP(sTfun(X0,$o),sTfun(sTfun(X0,X2),X2),vAPP(sTfun(X2,sTfun(X2,X2)),sTfun(sTfun(X0,$o),sTfun(sTfun(X0,X2),X2)),'const/iterate/iterate'(X0,X2),X3),'const/sets/EMPTY'(X0)),X7) ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f9,plain,
! [X0: $tType,X1: $tType,X2: $tType,X3: X2 > X2 > X2] :
( vAPP(sTfun(X2,sTfun(X2,X2)),$o,'const/iterate/monoidal'(X2),X3)
=> ( ! [X4: X1 > X2,X5: X1,X6: X1 > $o] :
( vAPP(sTfun(X1,$o),$o,'const/sets/FINITE'(X1),X6)
=> ( vAPP(sTfun(X1,X2),X2,vAPP(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2),vAPP(sTfun(X2,sTfun(X2,X2)),sTfun(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2)),'const/iterate/iterate'(X1,X2),X3),vAPP(sTfun(X1,$o),sTfun(X1,$o),vAPP(X1,sTfun(sTfun(X1,$o),sTfun(X1,$o)),'const/sets/INSERT'(X1),X5),X6)),X4) = vAPP(X2,X2,vAPP(X2,sTfun(X2,X2),vAPP($o,sTfun(X2,sTfun(X2,X2)),'const/class/COND'(X2),vAPP(sTfun(X1,$o),$o,vAPP(X1,sTfun(sTfun(X1,$o),$o),'const/sets/IN'(X1),X5),X6)),vAPP(sTfun(X1,X2),X2,vAPP(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2),vAPP(sTfun(X2,sTfun(X2,X2)),sTfun(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2)),'const/iterate/iterate'(X1,X2),X3),X6),X4)),vAPP(X2,X2,vAPP(X2,sTfun(X2,X2),X3,vAPP(X1,X2,X4,X5)),vAPP(sTfun(X1,X2),X2,vAPP(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2),vAPP(sTfun(X2,sTfun(X2,X2)),sTfun(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2)),'const/iterate/iterate'(X1,X2),X3),X6),X4))) ) )
& ! [X7: X0 > X2] : ( vAPP(sTfun(X2,sTfun(X2,X2)),X2,'const/iterate/neutral'(X2),X3) = vAPP(sTfun(X0,X2),X2,vAPP(sTfun(X0,$o),sTfun(sTfun(X0,X2),X2),vAPP(sTfun(X2,sTfun(X2,X2)),sTfun(sTfun(X0,$o),sTfun(sTfun(X0,X2),X2)),'const/iterate/iterate'(X0,X2),X3),'const/sets/EMPTY'(X0)),X7) ) ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
! [X0: $tType,X1: $tType,X2: $tType,X3: X2 > X2 > X2] :
( vAPP(sTfun(X2,sTfun(X2,X2)),$o,'const/iterate/monoidal'(X2),X3)
=> ( ! [X4: X1 > X2,X5: X1,X6: X1 > $o] :
( vAPP(sTfun(X1,$o),$o,'const/sets/FINITE'(X1),X6)
=> ( vAPP(sTfun(X1,X2),X2,vAPP(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2),vAPP(sTfun(X2,sTfun(X2,X2)),sTfun(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2)),'const/iterate/iterate'(X1,X2),X3),vAPP(sTfun(X1,$o),sTfun(X1,$o),vAPP(X1,sTfun(sTfun(X1,$o),sTfun(X1,$o)),'const/sets/INSERT'(X1),X5),X6)),X4) = vAPP(X2,X2,vAPP(X2,sTfun(X2,X2),vAPP($o,sTfun(X2,sTfun(X2,X2)),'const/class/COND'(X2),vAPP(sTfun(X1,$o),$o,vAPP(X1,sTfun(sTfun(X1,$o),$o),'const/sets/IN'(X1),X5),X6)),vAPP(sTfun(X1,X2),X2,vAPP(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2),vAPP(sTfun(X2,sTfun(X2,X2)),sTfun(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2)),'const/iterate/iterate'(X1,X2),X3),X6),X4)),vAPP(X2,X2,vAPP(X2,sTfun(X2,X2),X3,vAPP(X1,X2,X4,X5)),vAPP(sTfun(X1,X2),X2,vAPP(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2),vAPP(sTfun(X2,sTfun(X2,X2)),sTfun(sTfun(X1,$o),sTfun(sTfun(X1,X2),X2)),'const/iterate/iterate'(X1,X2),X3),X6),X4))) ) )
& ! [X4: X0 > X2] : ( vAPP(sTfun(X0,X2),X2,vAPP(sTfun(X0,$o),sTfun(sTfun(X0,X2),X2),vAPP(sTfun(X2,sTfun(X2,X2)),sTfun(sTfun(X0,$o),sTfun(sTfun(X0,X2),X2)),'const/iterate/iterate'(X0,X2),X3),'const/sets/EMPTY'(X0)),X4) = vAPP(sTfun(X2,sTfun(X2,X2)),X2,'const/iterate/neutral'(X2),X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/ITERATE_CLAUSES_') ).
thf(f22,plain,
vAPP(sTfun('type/realax/real',sTfun('type/realax/real','type/realax/real')),$o,'const/iterate/monoidal'('type/realax/real'),'const/realax/real_add') = $true,
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
vAPP(sTfun('type/realax/real',sTfun('type/realax/real','type/realax/real')),$o,'const/iterate/monoidal'('type/realax/real'),'const/realax/real_add') = $true,
inference(fool_elimination,[],[f11]) ).
thf(f11,plain,
vAPP(sTfun('type/realax/real',sTfun('type/realax/real','type/realax/real')),$o,'const/iterate/monoidal'('type/realax/real'),'const/realax/real_add'),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
vAPP(sTfun('type/realax/real',sTfun('type/realax/real','type/realax/real')),$o,'const/iterate/monoidal'('type/realax/real'),'const/realax/real_add'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/MONOIDAL_REAL_ADD_') ).
thf(f17,plain,
vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0')) != vAPP(sTfun(sK0,'type/realax/real'),'type/realax/real',vAPP(sTfun(sK0,$o),sTfun(sTfun(sK0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(sK0),'const/sets/EMPTY'(sK0)),sK1),
inference(cnf_transformation,[],[f16]) ).
thf(f16,plain,
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(sK0,'type/realax/real'),'type/realax/real',vAPP(sTfun(sK0,$o),sTfun(sTfun(sK0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(sK0),'const/sets/EMPTY'(sK0)),sK1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f13,f15]) ).
thf(f15,plain,
( ? [X0: $tType,X1: X0 > 'type/realax/real'] : ( vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0')) != vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(X0),'const/sets/EMPTY'(X0)),X1) )
=> ( 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(sK0,'type/realax/real'),'type/realax/real',vAPP(sTfun(sK0,$o),sTfun(sTfun(sK0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(sK0),'const/sets/EMPTY'(sK0)),sK1) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
? [X0: $tType,X1: X0 > 'type/realax/real'] : ( vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0')) != vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(X0),'const/sets/EMPTY'(X0)),X1) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,negated_conjecture,
~ ! [X0: $tType,X1: X0 > 'type/realax/real'] : ( vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0')) = vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(X0),'const/sets/EMPTY'(X0)),X1) ),
inference(negated_conjecture,[],[f5]) ).
thf(f5,conjecture,
! [X0: $tType,X1: X0 > 'type/realax/real'] : ( vAPP('type/nums/num','type/realax/real','const/realax/real_of_num',vAPP('type/nums/num','type/nums/num','const/nums/NUMERAL','const/nums/_0')) = vAPP(sTfun(X0,'type/realax/real'),'type/realax/real',vAPP(sTfun(X0,$o),sTfun(sTfun(X0,'type/realax/real'),'type/realax/real'),'const/iterate/sum'(X0),'const/sets/EMPTY'(X0)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/SUM_CLAUSES_0') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV507^1 : TPTP v8.1.2. Released v7.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 11:56:31 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (754)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (757)WARNING: value z3 for option sas not known
% 0.14/0.38 % (755)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (758)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (756)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (757)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)
% 0.14/0.38 % (759)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)
% 0.14/0.38 % (760)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)
% 0.14/0.38 % (761)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)
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % (761)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.38 % (761)First to succeed.
% 0.14/0.38 % (760)Also succeeded, but the first one will report.
% 0.14/0.38 % (757)Also succeeded, but the first one will report.
% 0.14/0.38 % (761)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-754"
% 0.14/0.38 % (759)Also succeeded, but the first one will report.
% 0.14/0.39 % (761)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (761)------------------------------
% 0.14/0.39 % (761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (761)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (761)Memory used [KB]: 782
% 0.14/0.39 % (761)Time elapsed: 0.007 s
% 0.14/0.39 % (761)Instructions burned: 8 (million)
% 0.14/0.39 % (754)Success in time 0.021 s
%------------------------------------------------------------------------------