TSTP Solution File: NUM783^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM783^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 : Tue May 21 02:13:23 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 19
% Syntax : Number of formulae : 30 ( 8 unt; 17 typ; 0 def)
% Number of atoms : 242 ( 10 equ; 0 cnn)
% Maximal formula atoms : 2 ( 18 avg)
% Number of connectives : 18 ( 13 ~; 0 |; 1 &; 0 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 30 ( 29 >; 1 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 4 con; 0-6 aty)
% Number of variables : 18 ( 0 ^ 12 !; 0 ?; 18 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
rat: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
rat: $tType ).
thf(func_def_1,type,
x0: rat ).
thf(func_def_2,type,
y0: rat ).
thf(func_def_3,type,
or3: $o > $o > $o > $o ).
thf(func_def_4,type,
is: rat > rat > $o ).
thf(func_def_5,type,
more: rat > rat > $o ).
thf(func_def_6,type,
less: rat > rat > $o ).
thf(func_def_7,type,
ec3: $o > $o > $o > $o ).
thf(func_def_12,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_13,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_14,type,
vAND: $o > $o > $o ).
thf(func_def_15,type,
vOR: $o > $o > $o ).
thf(func_def_16,type,
vIMP: $o > $o > $o ).
thf(func_def_17,type,
vNOT: $o > $o ).
thf(func_def_18,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f188,plain,
$false,
inference(subsumption_resolution,[],[f18,f20]) ).
thf(f20,plain,
! [X0: rat,X1: rat] : ( $true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAPP($o,sTfun($o,sTfun($o,$o)),or3,vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,X0),X1)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X0),X1)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1)) ),
inference(cnf_transformation,[],[f17]) ).
thf(f17,plain,
! [X0: rat,X1: rat] :
( ( $true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAPP($o,sTfun($o,sTfun($o,$o)),ec3,vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,X0),X1)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X0),X1)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1)) )
& ( $true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAPP($o,sTfun($o,sTfun($o,$o)),or3,vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,X0),X1)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X0),X1)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1)) ) ),
inference(ennf_transformation,[],[f15]) ).
thf(f15,plain,
! [X0: rat,X1: rat] :
~ ( ( $true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAPP($o,sTfun($o,sTfun($o,$o)),or3,vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,X0),X1)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X0),X1)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1)) )
=> ( $true != vAPP($o,$o,vAPP($o,sTfun($o,$o),vAPP($o,sTfun($o,sTfun($o,$o)),ec3,vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,X0),X1)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X0),X1)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1)) ) ),
inference(flattening,[],[f12]) ).
thf(f12,plain,
! [X0: rat,X1: rat] :
~ ( ( $true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAPP($o,sTfun($o,sTfun($o,$o)),or3,vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,X0),X1)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X0),X1)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1)) )
=> ( $true != vAPP($o,$o,vAPP($o,sTfun($o,$o),vAPP($o,sTfun($o,sTfun($o,$o)),ec3,vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,X0),X1)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X0),X1)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1)) ) ),
inference(fool_elimination,[],[f11]) ).
thf(f11,plain,
! [X0: rat,X1: rat] :
~ ( vAPP($o,$o,vAPP($o,sTfun($o,$o),vAPP($o,sTfun($o,sTfun($o,$o)),or3,vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,X0),X1)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X0),X1)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1))
=> ~ vAPP($o,$o,vAPP($o,sTfun($o,$o),vAPP($o,sTfun($o,sTfun($o,$o)),ec3,vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,X0),X1)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X0),X1)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1)) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X1: rat,X2: rat] :
~ ( vAPP($o,$o,vAPP($o,sTfun($o,$o),vAPP($o,sTfun($o,sTfun($o,$o)),or3,vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,X1),X2)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X1),X2)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X1),X2))
=> ~ vAPP($o,$o,vAPP($o,sTfun($o,$o),vAPP($o,sTfun($o,sTfun($o,$o)),ec3,vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,X1),X2)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X1),X2)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz81) ).
thf(f18,plain,
vAPP($o,$o,vAPP($o,sTfun($o,$o),vAPP($o,sTfun($o,sTfun($o,$o)),or3,vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,x0),y0)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),y0)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,x0),y0)) != $true,
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
vAPP($o,$o,vAPP($o,sTfun($o,$o),vAPP($o,sTfun($o,sTfun($o,$o)),or3,vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,x0),y0)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),y0)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,x0),y0)) != $true,
inference(flattening,[],[f8]) ).
thf(f8,plain,
vAPP($o,$o,vAPP($o,sTfun($o,$o),vAPP($o,sTfun($o,sTfun($o,$o)),or3,vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,x0),y0)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),y0)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,x0),y0)) != $true,
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
~ vAPP($o,$o,vAPP($o,sTfun($o,$o),vAPP($o,sTfun($o,sTfun($o,$o)),or3,vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,x0),y0)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),y0)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,x0),y0)),
inference(rectify,[],[f4]) ).
thf(f4,negated_conjecture,
~ vAPP($o,$o,vAPP($o,sTfun($o,$o),vAPP($o,sTfun($o,sTfun($o,$o)),or3,vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,x0),y0)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),y0)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,x0),y0)),
inference(negated_conjecture,[],[f3]) ).
thf(f3,conjecture,
vAPP($o,$o,vAPP($o,sTfun($o,$o),vAPP($o,sTfun($o,sTfun($o,$o)),or3,vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),is,x0),y0)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),y0)),vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,x0),y0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz81a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM783^1 : TPTP v8.2.0. Released v3.7.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n002.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 : Mon May 20 03:56:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (21138)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (21144)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (21145)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)
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 % (21144)First to succeed.
% 0.14/0.39 % (21144)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21138"
% 0.14/0.39 % (21144)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 % (21144)------------------------------
% 0.14/0.39 % (21144)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (21144)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (21144)Memory used [KB]: 804
% 0.14/0.39 % (21144)Time elapsed: 0.007 s
% 0.14/0.39 % (21144)Instructions burned: 11 (million)
% 0.14/0.39 % (21138)Success in time 0.022 s
%------------------------------------------------------------------------------