TSTP Solution File: NUM695_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM695_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 02:12:55 EDT 2024
% Result : Theorem 0.20s 0.36s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 19 ( 12 unt; 7 typ; 0 def)
% Number of atoms : 12 ( 3 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 4 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
nat: $tType ).
tff(func_def_0,type,
x: nat ).
tff(func_def_1,type,
suc: nat > nat ).
tff(func_def_2,type,
n_1: nat ).
tff(func_def_3,type,
pl: ( nat * nat ) > nat ).
tff(func_def_6,type,
sK0: nat > nat ).
tff(pred_def_1,type,
more: ( nat * nat ) > $o ).
tff(f36,plain,
$false,
inference(resolution,[],[f34,f22]) ).
tff(f22,plain,
~ more(suc(x),n_1),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
~ more(suc(x),n_1),
inference(flattening,[],[f7]) ).
tff(f7,negated_conjecture,
~ more(suc(x),n_1),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
more(suc(x),n_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz24b) ).
tff(f34,plain,
! [X0: nat] : more(suc(X0),n_1),
inference(superposition,[],[f27,f24]) ).
tff(f24,plain,
! [X0: nat] : ( suc(X0) = pl(n_1,X0) ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: nat] : ( suc(X0) = pl(n_1,X0) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: nat] : ( suc(X1) = pl(n_1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz4g) ).
tff(f27,plain,
! [X0: nat,X1: nat] : more(pl(X0,X1),X0),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: nat,X1: nat] : more(pl(X0,X1),X0),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: nat,X3: nat] : more(pl(X1,X3),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz18) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM695_8 : TPTP v8.2.0. Released v8.0.0.
% 0.12/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.33 % Computer : n015.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 20 07:01:23 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.20/0.34 % (23362)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.35 % (23369)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)
% 0.20/0.36 % (23363)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.36 % (23369)First to succeed.
% 0.20/0.36 % (23369)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23362"
% 0.20/0.36 TRYING [1]
% 0.20/0.36 TRYING [2]
% 0.20/0.36 % (23369)Refutation found. Thanks to Tanya!
% 0.20/0.36 % SZS status Theorem for theBenchmark
% 0.20/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.36 % (23369)------------------------------
% 0.20/0.36 % (23369)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.36 % (23369)Termination reason: Refutation
% 0.20/0.36
% 0.20/0.36 % (23369)Memory used [KB]: 754
% 0.20/0.36 % (23369)Time elapsed: 0.004 s
% 0.20/0.36 % (23369)Instructions burned: 3 (million)
% 0.20/0.36 % (23362)Success in time 0.02 s
%------------------------------------------------------------------------------