TSTP Solution File: DAT276^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT276^1 : 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 : n005.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 05:06:20 EDT 2024
% Result : Theorem 0.18s 0.38s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 27
% Syntax : Number of formulae : 38 ( 15 unt; 22 typ; 0 def)
% Number of atoms : 271 ( 16 equ; 0 cnn)
% Maximal formula atoms : 2 ( 16 avg)
% Number of connectives : 8 ( 7 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 47 ( 46 >; 1 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 5 con; 0-6 aty)
% Number of variables : 86 ( 0 ^ 58 !; 16 ?; 86 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
'type/ind_types/list': $tType > $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
sK0: $tType ).
thf(type_def_8,type,
sK1: $tType ).
thf(type_def_9,type,
sK2: $tType ).
thf(func_def_0,type,
'type/ind_types/list': $tType > $tType ).
thf(func_def_1,type,
'const/lists/TL':
!>[X0: $tType] : ( 'type/ind_types/list'(X0) > 'type/ind_types/list'(X0) ) ).
thf(func_def_2,type,
'const/lists/MAP2':
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > 'type/ind_types/list'(X0) > 'type/ind_types/list'(X1) > 'type/ind_types/list'(X2) ) ).
thf(func_def_3,type,
'const/lists/HD':
!>[X0: $tType] : ( 'type/ind_types/list'(X0) > X0 ) ).
thf(func_def_4,type,
'const/ind_types/CONS':
!>[X0: $tType] : ( X0 > 'type/ind_types/list'(X0) > 'type/ind_types/list'(X0) ) ).
thf(func_def_8,type,
sK3: sK1 ).
thf(func_def_9,type,
sK4: sK2 ).
thf(func_def_10,type,
sK5: sK1 > sK2 > sK0 ).
thf(func_def_11,type,
sK6: 'type/ind_types/list'(sK1) ).
thf(func_def_12,type,
sK7: 'type/ind_types/list'(sK2) ).
thf(func_def_13,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_14,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_15,type,
vAND: $o > $o > $o ).
thf(func_def_16,type,
vOR: $o > $o > $o ).
thf(func_def_17,type,
vIMP: $o > $o > $o ).
thf(func_def_18,type,
vNOT: $o > $o ).
thf(func_def_19,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f120,plain,
$false,
inference(trivial_inequality_removal,[],[f111]) ).
thf(f111,plain,
vAPP('type/ind_types/list'(sK0),'type/ind_types/list'(sK0),vAPP(sK0,sTfun('type/ind_types/list'(sK0),'type/ind_types/list'(sK0)),'const/ind_types/CONS'(sK0),vAPP(sK2,sK0,vAPP(sK1,sTfun(sK2,sK0),sK5,sK3),sK4)),vAPP('type/ind_types/list'(sK2),'type/ind_types/list'(sK0),vAPP('type/ind_types/list'(sK1),sTfun('type/ind_types/list'(sK2),'type/ind_types/list'(sK0)),vAPP(sTfun(sK1,sTfun(sK2,sK0)),sTfun('type/ind_types/list'(sK1),sTfun('type/ind_types/list'(sK2),'type/ind_types/list'(sK0))),'const/lists/MAP2'(sK1,sK2,sK0),sK5),sK6),sK7)) != vAPP('type/ind_types/list'(sK0),'type/ind_types/list'(sK0),vAPP(sK0,sTfun('type/ind_types/list'(sK0),'type/ind_types/list'(sK0)),'const/ind_types/CONS'(sK0),vAPP(sK2,sK0,vAPP(sK1,sTfun(sK2,sK0),sK5,sK3),sK4)),vAPP('type/ind_types/list'(sK2),'type/ind_types/list'(sK0),vAPP('type/ind_types/list'(sK1),sTfun('type/ind_types/list'(sK2),'type/ind_types/list'(sK0)),vAPP(sTfun(sK1,sTfun(sK2,sK0)),sTfun('type/ind_types/list'(sK1),sTfun('type/ind_types/list'(sK2),'type/ind_types/list'(sK0))),'const/lists/MAP2'(sK1,sK2,sK0),sK5),sK6),sK7)),
inference(superposition,[],[f11,f62]) ).
thf(f62,plain,
! [X4: $tType,X0: $tType,X3: $tType,X2: 'type/ind_types/list'(X0),X1: X0,X6: X4,X7: 'type/ind_types/list'(X4),X5: X4 > X0 > X3] : ( vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X3),vAPP('type/ind_types/list'(X4),sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X3)),vAPP(sTfun(X4,sTfun(X0,X3)),sTfun('type/ind_types/list'(X4),sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X3))),'const/lists/MAP2'(X4,X0,X3),X5),vAPP('type/ind_types/list'(X4),'type/ind_types/list'(X4),vAPP(X4,sTfun('type/ind_types/list'(X4),'type/ind_types/list'(X4)),'const/ind_types/CONS'(X4),X6),X7)),vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP(X0,sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/ind_types/CONS'(X0),X1),X2)) = vAPP('type/ind_types/list'(X3),'type/ind_types/list'(X3),vAPP(X3,sTfun('type/ind_types/list'(X3),'type/ind_types/list'(X3)),'const/ind_types/CONS'(X3),vAPP(X0,X3,vAPP(X4,sTfun(X0,X3),X5,X6),X1)),vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X3),vAPP('type/ind_types/list'(X4),sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X3)),vAPP(sTfun(X4,sTfun(X0,X3)),sTfun('type/ind_types/list'(X4),sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X3))),'const/lists/MAP2'(X4,X0,X3),X5),X7),X2)) ),
inference(forward_demodulation,[],[f52,f13]) ).
thf(f13,plain,
! [X0: $tType,X2: 'type/ind_types/list'(X0),X1: X0] : ( vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),'const/lists/TL'(X0),vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP(X0,sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/ind_types/CONS'(X0),X1),X2)) = X2 ),
inference(cnf_transformation,[],[f1]) ).
thf(f1,axiom,
! [X0: $tType,X1: X0,X2: 'type/ind_types/list'(X0)] : ( vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),'const/lists/TL'(X0),vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP(X0,sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/ind_types/CONS'(X0),X1),X2)) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/lists/TL_') ).
thf(f52,plain,
! [X4: $tType,X0: $tType,X3: $tType,X2: 'type/ind_types/list'(X0),X1: X0,X6: X4,X7: 'type/ind_types/list'(X4),X5: X4 > X0 > X3] : ( vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X3),vAPP('type/ind_types/list'(X4),sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X3)),vAPP(sTfun(X4,sTfun(X0,X3)),sTfun('type/ind_types/list'(X4),sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X3))),'const/lists/MAP2'(X4,X0,X3),X5),vAPP('type/ind_types/list'(X4),'type/ind_types/list'(X4),vAPP(X4,sTfun('type/ind_types/list'(X4),'type/ind_types/list'(X4)),'const/ind_types/CONS'(X4),X6),X7)),vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP(X0,sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/ind_types/CONS'(X0),X1),X2)) = vAPP('type/ind_types/list'(X3),'type/ind_types/list'(X3),vAPP(X3,sTfun('type/ind_types/list'(X3),'type/ind_types/list'(X3)),'const/ind_types/CONS'(X3),vAPP(X0,X3,vAPP(X4,sTfun(X0,X3),X5,X6),X1)),vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X3),vAPP('type/ind_types/list'(X4),sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X3)),vAPP(sTfun(X4,sTfun(X0,X3)),sTfun('type/ind_types/list'(X4),sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X3))),'const/lists/MAP2'(X4,X0,X3),X5),X7),vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),'const/lists/TL'(X0),vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP(X0,sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/ind_types/CONS'(X0),X1),X2)))) ),
inference(superposition,[],[f14,f12]) ).
thf(f12,plain,
! [X0: $tType,X2: X0,X1: 'type/ind_types/list'(X0)] : ( vAPP('type/ind_types/list'(X0),X0,'const/lists/HD'(X0),vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP(X0,sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/ind_types/CONS'(X0),X2),X1)) = X2 ),
inference(cnf_transformation,[],[f2]) ).
thf(f2,axiom,
! [X0: $tType,X1: 'type/ind_types/list'(X0),X2: X0] : ( vAPP('type/ind_types/list'(X0),X0,'const/lists/HD'(X0),vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP(X0,sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/ind_types/CONS'(X0),X2),X1)) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/lists/HD_') ).
thf(f14,plain,
! [X1: $tType,X0: $tType,X2: $tType,X3: X1,X6: 'type/ind_types/list'(X2),X4: X1 > X2 > X0,X5: 'type/ind_types/list'(X1)] : ( vAPP('type/ind_types/list'(X2),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0)),vAPP(sTfun(X1,sTfun(X2,X0)),sTfun('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0))),'const/lists/MAP2'(X1,X2,X0),X4),vAPP('type/ind_types/list'(X1),'type/ind_types/list'(X1),vAPP(X1,sTfun('type/ind_types/list'(X1),'type/ind_types/list'(X1)),'const/ind_types/CONS'(X1),X3),X5)),X6) = vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP(X0,sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/ind_types/CONS'(X0),vAPP(X2,X0,vAPP(X1,sTfun(X2,X0),X4,X3),vAPP('type/ind_types/list'(X2),X2,'const/lists/HD'(X2),X6))),vAPP('type/ind_types/list'(X2),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0)),vAPP(sTfun(X1,sTfun(X2,X0)),sTfun('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0))),'const/lists/MAP2'(X1,X2,X0),X4),X5),vAPP('type/ind_types/list'(X2),'type/ind_types/list'(X2),'const/lists/TL'(X2),X6))) ),
inference(cnf_transformation,[],[f3]) ).
thf(f3,axiom,
! [X0: $tType,X1: $tType,X2: $tType,X3: X1,X4: X1 > X2 > X0,X5: 'type/ind_types/list'(X1),X6: 'type/ind_types/list'(X2)] : ( vAPP('type/ind_types/list'(X2),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0)),vAPP(sTfun(X1,sTfun(X2,X0)),sTfun('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0))),'const/lists/MAP2'(X1,X2,X0),X4),vAPP('type/ind_types/list'(X1),'type/ind_types/list'(X1),vAPP(X1,sTfun('type/ind_types/list'(X1),'type/ind_types/list'(X1)),'const/ind_types/CONS'(X1),X3),X5)),X6) = vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP(X0,sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/ind_types/CONS'(X0),vAPP(X2,X0,vAPP(X1,sTfun(X2,X0),X4,X3),vAPP('type/ind_types/list'(X2),X2,'const/lists/HD'(X2),X6))),vAPP('type/ind_types/list'(X2),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0)),vAPP(sTfun(X1,sTfun(X2,X0)),sTfun('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0))),'const/lists/MAP2'(X1,X2,X0),X4),X5),vAPP('type/ind_types/list'(X2),'type/ind_types/list'(X2),'const/lists/TL'(X2),X6))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/lists/MAP2_DEF_1') ).
thf(f11,plain,
vAPP('type/ind_types/list'(sK2),'type/ind_types/list'(sK0),vAPP('type/ind_types/list'(sK1),sTfun('type/ind_types/list'(sK2),'type/ind_types/list'(sK0)),vAPP(sTfun(sK1,sTfun(sK2,sK0)),sTfun('type/ind_types/list'(sK1),sTfun('type/ind_types/list'(sK2),'type/ind_types/list'(sK0))),'const/lists/MAP2'(sK1,sK2,sK0),sK5),vAPP('type/ind_types/list'(sK1),'type/ind_types/list'(sK1),vAPP(sK1,sTfun('type/ind_types/list'(sK1),'type/ind_types/list'(sK1)),'const/ind_types/CONS'(sK1),sK3),sK6)),vAPP('type/ind_types/list'(sK2),'type/ind_types/list'(sK2),vAPP(sK2,sTfun('type/ind_types/list'(sK2),'type/ind_types/list'(sK2)),'const/ind_types/CONS'(sK2),sK4),sK7)) != vAPP('type/ind_types/list'(sK0),'type/ind_types/list'(sK0),vAPP(sK0,sTfun('type/ind_types/list'(sK0),'type/ind_types/list'(sK0)),'const/ind_types/CONS'(sK0),vAPP(sK2,sK0,vAPP(sK1,sTfun(sK2,sK0),sK5,sK3),sK4)),vAPP('type/ind_types/list'(sK2),'type/ind_types/list'(sK0),vAPP('type/ind_types/list'(sK1),sTfun('type/ind_types/list'(sK2),'type/ind_types/list'(sK0)),vAPP(sTfun(sK1,sTfun(sK2,sK0)),sTfun('type/ind_types/list'(sK1),sTfun('type/ind_types/list'(sK2),'type/ind_types/list'(sK0))),'const/lists/MAP2'(sK1,sK2,sK0),sK5),sK6),sK7)),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
vAPP('type/ind_types/list'(sK2),'type/ind_types/list'(sK0),vAPP('type/ind_types/list'(sK1),sTfun('type/ind_types/list'(sK2),'type/ind_types/list'(sK0)),vAPP(sTfun(sK1,sTfun(sK2,sK0)),sTfun('type/ind_types/list'(sK1),sTfun('type/ind_types/list'(sK2),'type/ind_types/list'(sK0))),'const/lists/MAP2'(sK1,sK2,sK0),sK5),vAPP('type/ind_types/list'(sK1),'type/ind_types/list'(sK1),vAPP(sK1,sTfun('type/ind_types/list'(sK1),'type/ind_types/list'(sK1)),'const/ind_types/CONS'(sK1),sK3),sK6)),vAPP('type/ind_types/list'(sK2),'type/ind_types/list'(sK2),vAPP(sK2,sTfun('type/ind_types/list'(sK2),'type/ind_types/list'(sK2)),'const/ind_types/CONS'(sK2),sK4),sK7)) != vAPP('type/ind_types/list'(sK0),'type/ind_types/list'(sK0),vAPP(sK0,sTfun('type/ind_types/list'(sK0),'type/ind_types/list'(sK0)),'const/ind_types/CONS'(sK0),vAPP(sK2,sK0,vAPP(sK1,sTfun(sK2,sK0),sK5,sK3),sK4)),vAPP('type/ind_types/list'(sK2),'type/ind_types/list'(sK0),vAPP('type/ind_types/list'(sK1),sTfun('type/ind_types/list'(sK2),'type/ind_types/list'(sK0)),vAPP(sTfun(sK1,sTfun(sK2,sK0)),sTfun('type/ind_types/list'(sK1),sTfun('type/ind_types/list'(sK2),'type/ind_types/list'(sK0))),'const/lists/MAP2'(sK1,sK2,sK0),sK5),sK6),sK7)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f8,f9]) ).
thf(f9,plain,
( ? [X0: $tType,X1: $tType,X2: $tType,X3: X1,X4: X2,X5: X1 > X2 > X0,X6: 'type/ind_types/list'(X1),X7: 'type/ind_types/list'(X2)] : ( vAPP('type/ind_types/list'(X2),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0)),vAPP(sTfun(X1,sTfun(X2,X0)),sTfun('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0))),'const/lists/MAP2'(X1,X2,X0),X5),vAPP('type/ind_types/list'(X1),'type/ind_types/list'(X1),vAPP(X1,sTfun('type/ind_types/list'(X1),'type/ind_types/list'(X1)),'const/ind_types/CONS'(X1),X3),X6)),vAPP('type/ind_types/list'(X2),'type/ind_types/list'(X2),vAPP(X2,sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X2)),'const/ind_types/CONS'(X2),X4),X7)) != vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP(X0,sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/ind_types/CONS'(X0),vAPP(X2,X0,vAPP(X1,sTfun(X2,X0),X5,X3),X4)),vAPP('type/ind_types/list'(X2),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0)),vAPP(sTfun(X1,sTfun(X2,X0)),sTfun('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0))),'const/lists/MAP2'(X1,X2,X0),X5),X6),X7)) )
=> ( vAPP('type/ind_types/list'(sK2),'type/ind_types/list'(sK0),vAPP('type/ind_types/list'(sK1),sTfun('type/ind_types/list'(sK2),'type/ind_types/list'(sK0)),vAPP(sTfun(sK1,sTfun(sK2,sK0)),sTfun('type/ind_types/list'(sK1),sTfun('type/ind_types/list'(sK2),'type/ind_types/list'(sK0))),'const/lists/MAP2'(sK1,sK2,sK0),sK5),vAPP('type/ind_types/list'(sK1),'type/ind_types/list'(sK1),vAPP(sK1,sTfun('type/ind_types/list'(sK1),'type/ind_types/list'(sK1)),'const/ind_types/CONS'(sK1),sK3),sK6)),vAPP('type/ind_types/list'(sK2),'type/ind_types/list'(sK2),vAPP(sK2,sTfun('type/ind_types/list'(sK2),'type/ind_types/list'(sK2)),'const/ind_types/CONS'(sK2),sK4),sK7)) != vAPP('type/ind_types/list'(sK0),'type/ind_types/list'(sK0),vAPP(sK0,sTfun('type/ind_types/list'(sK0),'type/ind_types/list'(sK0)),'const/ind_types/CONS'(sK0),vAPP(sK2,sK0,vAPP(sK1,sTfun(sK2,sK0),sK5,sK3),sK4)),vAPP('type/ind_types/list'(sK2),'type/ind_types/list'(sK0),vAPP('type/ind_types/list'(sK1),sTfun('type/ind_types/list'(sK2),'type/ind_types/list'(sK0)),vAPP(sTfun(sK1,sTfun(sK2,sK0)),sTfun('type/ind_types/list'(sK1),sTfun('type/ind_types/list'(sK2),'type/ind_types/list'(sK0))),'const/lists/MAP2'(sK1,sK2,sK0),sK5),sK6),sK7)) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: $tType,X1: $tType,X2: $tType,X3: X1,X4: X2,X5: X1 > X2 > X0,X6: 'type/ind_types/list'(X1),X7: 'type/ind_types/list'(X2)] : ( vAPP('type/ind_types/list'(X2),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0)),vAPP(sTfun(X1,sTfun(X2,X0)),sTfun('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0))),'const/lists/MAP2'(X1,X2,X0),X5),vAPP('type/ind_types/list'(X1),'type/ind_types/list'(X1),vAPP(X1,sTfun('type/ind_types/list'(X1),'type/ind_types/list'(X1)),'const/ind_types/CONS'(X1),X3),X6)),vAPP('type/ind_types/list'(X2),'type/ind_types/list'(X2),vAPP(X2,sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X2)),'const/ind_types/CONS'(X2),X4),X7)) != vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP(X0,sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/ind_types/CONS'(X0),vAPP(X2,X0,vAPP(X1,sTfun(X2,X0),X5,X3),X4)),vAPP('type/ind_types/list'(X2),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0)),vAPP(sTfun(X1,sTfun(X2,X0)),sTfun('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0))),'const/lists/MAP2'(X1,X2,X0),X5),X6),X7)) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,negated_conjecture,
~ ! [X0: $tType,X1: $tType,X2: $tType,X3: X1,X4: X2,X5: X1 > X2 > X0,X6: 'type/ind_types/list'(X1),X7: 'type/ind_types/list'(X2)] : ( vAPP('type/ind_types/list'(X2),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0)),vAPP(sTfun(X1,sTfun(X2,X0)),sTfun('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0))),'const/lists/MAP2'(X1,X2,X0),X5),vAPP('type/ind_types/list'(X1),'type/ind_types/list'(X1),vAPP(X1,sTfun('type/ind_types/list'(X1),'type/ind_types/list'(X1)),'const/ind_types/CONS'(X1),X3),X6)),vAPP('type/ind_types/list'(X2),'type/ind_types/list'(X2),vAPP(X2,sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X2)),'const/ind_types/CONS'(X2),X4),X7)) = vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP(X0,sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/ind_types/CONS'(X0),vAPP(X2,X0,vAPP(X1,sTfun(X2,X0),X5,X3),X4)),vAPP('type/ind_types/list'(X2),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0)),vAPP(sTfun(X1,sTfun(X2,X0)),sTfun('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0))),'const/lists/MAP2'(X1,X2,X0),X5),X6),X7)) ),
inference(negated_conjecture,[],[f4]) ).
thf(f4,conjecture,
! [X0: $tType,X1: $tType,X2: $tType,X3: X1,X4: X2,X5: X1 > X2 > X0,X6: 'type/ind_types/list'(X1),X7: 'type/ind_types/list'(X2)] : ( vAPP('type/ind_types/list'(X2),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0)),vAPP(sTfun(X1,sTfun(X2,X0)),sTfun('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0))),'const/lists/MAP2'(X1,X2,X0),X5),vAPP('type/ind_types/list'(X1),'type/ind_types/list'(X1),vAPP(X1,sTfun('type/ind_types/list'(X1),'type/ind_types/list'(X1)),'const/ind_types/CONS'(X1),X3),X6)),vAPP('type/ind_types/list'(X2),'type/ind_types/list'(X2),vAPP(X2,sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X2)),'const/ind_types/CONS'(X2),X4),X7)) = vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP(X0,sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/ind_types/CONS'(X0),vAPP(X2,X0,vAPP(X1,sTfun(X2,X0),X5,X3),X4)),vAPP('type/ind_types/list'(X2),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0)),vAPP(sTfun(X1,sTfun(X2,X0)),sTfun('type/ind_types/list'(X1),sTfun('type/ind_types/list'(X2),'type/ind_types/list'(X0))),'const/lists/MAP2'(X1,X2,X0),X5),X6),X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/lists/MAP2_1') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : DAT276^1 : TPTP v8.1.2. Released v7.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 12:54:55 EDT 2024
% 0.18/0.34 % CPUTime :
% 0.18/0.34 % (32334)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.36 % (32337)WARNING: value z3 for option sas not known
% 0.18/0.36 % (32340)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)
% 0.18/0.36 % (32336)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.36 % (32339)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)
% 0.18/0.36 % (32337)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)
% 0.18/0.36 % (32335)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.36 % Exception at run slice level% (32338)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.36
% 0.18/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.36 % Exception at run slice level
% 0.18/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.36 % (32341)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)
% 0.18/0.36 % Exception at run slice level
% 0.18/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.36 % (32341)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.18/0.37 % (32343)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.18/0.37 % (32343)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.18/0.37 % (32344)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.18/0.38 % (32342)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.18/0.38 % (32342)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.18/0.38 % Exception at run slice level
% 0.18/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.38 % (32340)First to succeed.
% 0.18/0.38 % (32340)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32334"
% 0.18/0.38 % (32339)Also succeeded, but the first one will report.
% 0.18/0.38 % (32340)Refutation found. Thanks to Tanya!
% 0.18/0.38 % SZS status Theorem for theBenchmark
% 0.18/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.38 % (32340)------------------------------
% 0.18/0.38 % (32340)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.38 % (32340)Termination reason: Refutation
% 0.18/0.38
% 0.18/0.38 % (32340)Memory used [KB]: 1049
% 0.18/0.38 % (32340)Time elapsed: 0.023 s
% 0.18/0.38 % (32340)Instructions burned: 49 (million)
% 0.18/0.38 % (32334)Success in time 0.035 s
%------------------------------------------------------------------------------