TSTP Solution File: DAT319^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT319^1 : 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 : n032.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 05:06:23 EDT 2024
% Result : Theorem 0.09s 0.30s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of formulae : 29 ( 12 unt; 16 typ; 0 def)
% Number of atoms : 122 ( 13 equ; 0 cnn)
% Maximal formula atoms : 2 ( 9 avg)
% Number of connectives : 9 ( 8 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 24 ( 23 >; 1 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 3 con; 0-6 aty)
% Number of variables : 33 ( 0 ^ 18 !; 6 ?; 33 :)
% ( 9 !>; 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(func_def_0,type,
'type/ind_types/list': $tType > $tType ).
thf(func_def_1,type,
'const/lists/APPEND':
!>[X0: $tType] : ( 'type/ind_types/list'(X0) > 'type/ind_types/list'(X0) > 'type/ind_types/list'(X0) ) ).
thf(func_def_2,type,
'const/ind_types/NIL':
!>[X0: $tType] : 'type/ind_types/list'(X0) ).
thf(func_def_3,type,
'const/ind_types/CONS':
!>[X0: $tType] : ( X0 > 'type/ind_types/list'(X0) > 'type/ind_types/list'(X0) ) ).
thf(func_def_7,type,
sK1: sK0 ).
thf(func_def_8,type,
sK2: 'type/ind_types/list'(sK0) ).
thf(func_def_9,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_10,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_11,type,
vAND: $o > $o > $o ).
thf(func_def_12,type,
vOR: $o > $o > $o ).
thf(func_def_13,type,
vIMP: $o > $o > $o ).
thf(func_def_14,type,
vNOT: $o > $o ).
thf(func_def_15,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f45,plain,
$false,
inference(trivial_inequality_removal,[],[f44]) ).
thf(f44,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),sK1),sK2) != 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),sK1),sK2),
inference(forward_demodulation,[],[f43,f11]) ).
thf(f11,plain,
! [X0: $tType,X1: 'type/ind_types/list'(X0)] : ( vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X0),sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/lists/APPEND'(X0),'const/ind_types/NIL'(X0)),X1) = X1 ),
inference(cnf_transformation,[],[f1]) ).
thf(f1,axiom,
! [X0: $tType,X1: 'type/ind_types/list'(X0)] : ( vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X0),sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/lists/APPEND'(X0),'const/ind_types/NIL'(X0)),X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/lists/APPEND_0') ).
thf(f43,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),sK1),sK2) != 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),sK1),vAPP('type/ind_types/list'(sK0),'type/ind_types/list'(sK0),vAPP('type/ind_types/list'(sK0),sTfun('type/ind_types/list'(sK0),'type/ind_types/list'(sK0)),'const/lists/APPEND'(sK0),'const/ind_types/NIL'(sK0)),sK2)),
inference(superposition,[],[f10,f12]) ).
thf(f12,plain,
! [X0: $tType,X2: 'type/ind_types/list'(X0),X3: 'type/ind_types/list'(X0),X1: X0] : ( vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X0),sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/lists/APPEND'(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)),X3) = 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),vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X0),sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/lists/APPEND'(X0),X2),X3)) ),
inference(cnf_transformation,[],[f2]) ).
thf(f2,axiom,
! [X0: $tType,X1: X0,X2: 'type/ind_types/list'(X0),X3: 'type/ind_types/list'(X0)] : ( vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X0),sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/lists/APPEND'(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)),X3) = 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),vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X0),sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/lists/APPEND'(X0),X2),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/lists/APPEND_1') ).
thf(f10,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),sK1),sK2) != vAPP('type/ind_types/list'(sK0),'type/ind_types/list'(sK0),vAPP('type/ind_types/list'(sK0),sTfun('type/ind_types/list'(sK0),'type/ind_types/list'(sK0)),'const/lists/APPEND'(sK0),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),sK1),'const/ind_types/NIL'(sK0))),sK2),
inference(cnf_transformation,[],[f9]) ).
thf(f9,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),sK1),sK2) != vAPP('type/ind_types/list'(sK0),'type/ind_types/list'(sK0),vAPP('type/ind_types/list'(sK0),sTfun('type/ind_types/list'(sK0),'type/ind_types/list'(sK0)),'const/lists/APPEND'(sK0),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),sK1),'const/ind_types/NIL'(sK0))),sK2),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f8]) ).
thf(f8,plain,
( ? [X0: $tType,X1: X0,X2: 'type/ind_types/list'(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) != vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X0),sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/lists/APPEND'(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),'const/ind_types/NIL'(X0))),X2) )
=> ( 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),sK1),sK2) != vAPP('type/ind_types/list'(sK0),'type/ind_types/list'(sK0),vAPP('type/ind_types/list'(sK0),sTfun('type/ind_types/list'(sK0),'type/ind_types/list'(sK0)),'const/lists/APPEND'(sK0),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),sK1),'const/ind_types/NIL'(sK0))),sK2) ) ),
introduced(choice_axiom,[]) ).
thf(f7,plain,
? [X0: $tType,X1: X0,X2: 'type/ind_types/list'(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) != vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X0),sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/lists/APPEND'(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),'const/ind_types/NIL'(X0))),X2) ),
inference(ennf_transformation,[],[f4]) ).
thf(f4,negated_conjecture,
~ ! [X0: $tType,X1: X0,X2: 'type/ind_types/list'(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) = vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X0),sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/lists/APPEND'(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),'const/ind_types/NIL'(X0))),X2) ),
inference(negated_conjecture,[],[f3]) ).
thf(f3,conjecture,
! [X0: $tType,X1: X0,X2: 'type/ind_types/list'(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) = vAPP('type/ind_types/list'(X0),'type/ind_types/list'(X0),vAPP('type/ind_types/list'(X0),sTfun('type/ind_types/list'(X0),'type/ind_types/list'(X0)),'const/lists/APPEND'(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),'const/ind_types/NIL'(X0))),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/lists/APPEND_SING_') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : DAT319^1 : TPTP v8.1.2. Released v7.0.0.
% 0.08/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Fri May 3 13:06:54 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.09/0.28 % (29836)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.29 % (29837)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.09/0.29 % (29843)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)
% 0.09/0.29 % Exception at run slice level
% 0.09/0.29 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.09/0.29 % (29843)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.09/0.30 % (29843)First to succeed.
% 0.09/0.30 % (29843)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29836"
% 0.09/0.30 % (29841)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)
% 0.09/0.30 % (29843)Refutation found. Thanks to Tanya!
% 0.09/0.30 % SZS status Theorem for theBenchmark
% 0.09/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.30 % (29843)------------------------------
% 0.09/0.30 % (29843)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.09/0.30 % (29843)Termination reason: Refutation
% 0.09/0.30
% 0.09/0.30 % (29843)Memory used [KB]: 767
% 0.09/0.30 % (29843)Time elapsed: 0.003 s
% 0.09/0.30 % (29843)Instructions burned: 5 (million)
% 0.09/0.30 % (29836)Success in time 0.012 s
%------------------------------------------------------------------------------