TSTP Solution File: NUM683^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM683^1 : 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 : n024.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 02:12:50 EDT 2024
% Result : Theorem 0.14s 0.36s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 19
% Syntax : Number of formulae : 35 ( 15 unt; 15 typ; 0 def)
% Number of atoms : 147 ( 15 equ; 0 cnn)
% Maximal formula atoms : 2 ( 7 avg)
% Number of connectives : 12 ( 7 ~; 2 |; 0 &; 0 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 22 ( 21 >; 1 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 5 con; 0-6 aty)
% Number of variables : 25 ( 0 ^ 19 !; 0 ?; 25 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
nat: $tType ).
thf(func_def_1,type,
x: nat ).
thf(func_def_2,type,
y: nat ).
thf(func_def_3,type,
z: nat ).
thf(func_def_4,type,
more: nat > nat > $o ).
thf(func_def_5,type,
pl: nat > nat > nat ).
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(f60,plain,
$false,
inference(unit_resulting_resolution,[],[f16,f21,f18]) ).
thf(f18,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X0),X2)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X1),X2)) != $true )
| ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X0),X1) = $true ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f15,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X0),X1) = $true )
| ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X0),X2)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X1),X2)) != $true ) ),
inference(ennf_transformation,[],[f11]) ).
thf(f11,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X0),X2)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X1),X2)) = $true )
=> ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X0),X1) = $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f10,plain,
! [X0: nat,X1: nat,X2: nat] :
( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X0),X2)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X1),X2))
=> vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X0),X1) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X0: nat,X1: nat,X2: nat] :
( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X0),X2)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X1),X2))
=> vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz20a) ).
thf(f21,plain,
$true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),z)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,y),z)),
inference(forward_demodulation,[],[f20,f17]) ).
thf(f17,plain,
! [X0: nat,X1: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X0),X1) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X1),X0) ),
inference(cnf_transformation,[],[f3]) ).
thf(f3,axiom,
! [X0: nat,X1: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X0),X1) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz6) ).
thf(f20,plain,
$true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,z),x)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,y),z)),
inference(forward_demodulation,[],[f19,f17]) ).
thf(f19,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,z),x)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,z),y)) = $true,
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,z),x)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,z),y)) = $true,
inference(fool_elimination,[],[f12]) ).
thf(f12,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,z),x)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,z),y)),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,z),x)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,z),y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
thf(f16,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,x),y) != $true,
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,x),y) != $true,
inference(flattening,[],[f9]) ).
thf(f9,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,x),y) != $true,
inference(fool_elimination,[],[f8]) ).
thf(f8,plain,
~ vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,x),y),
inference(rectify,[],[f5]) ).
thf(f5,negated_conjecture,
~ vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,x),y),
inference(negated_conjecture,[],[f4]) ).
thf(f4,conjecture,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,x),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz20d) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM683^1 : TPTP v8.2.0. Released v3.7.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 03:44:07 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (32630)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (32637)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)
% 0.14/0.36 % (32637)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.36 % (32637)First to succeed.
% 0.14/0.36 % (32637)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32630"
% 0.14/0.36 % (32637)Refutation found. Thanks to Tanya!
% 0.14/0.36 % SZS status Theorem for theBenchmark
% 0.14/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.36 % (32637)------------------------------
% 0.14/0.36 % (32637)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36 % (32637)Termination reason: Refutation
% 0.14/0.36
% 0.14/0.36 % (32637)Memory used [KB]: 766
% 0.14/0.36 % (32637)Time elapsed: 0.003 s
% 0.14/0.36 % (32637)Instructions burned: 6 (million)
% 0.14/0.36 % (32630)Success in time 0.013 s
%------------------------------------------------------------------------------