TSTP Solution File: ARI606_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI606_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 04:36:26 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 1 typ; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 16 ( 7 ~; 2 |; 1 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 41 ( 17 atm; 0 fun; 14 num; 10 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 1 usr; 2 con; 0-1 aty)
% Number of variables : 10 ( 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(f21,plain,
$false,
inference(evaluation,[],[f20]) ).
tff(f20,plain,
$less(5,2),
inference(resolution,[],[f19,f17]) ).
tff(f17,plain,
! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( $less(f(f(5)),f(f(2)))
& ! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
=> ~ $less(f(X1),f(X0)) )
=> ~ $less(f(f(5)),f(f(2))) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int,X1: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) )
=> $lesseq(f(f(2)),f(f(5))) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X0: $int,X1: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) )
=> $lesseq(f(f(2)),f(f(5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_mon_implies_ff2_gt_ff5) ).
tff(f19,plain,
$less(f(5),f(2)),
inference(resolution,[],[f17,f18]) ).
tff(f18,plain,
$less(f(f(5)),f(f(2))),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI606_1 : TPTP v8.1.2. Released v5.1.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 21:42:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (7540)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (7543)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (7543)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (7543)Terminated due to inappropriate strategy.
% 0.13/0.37 % (7543)------------------------------
% 0.13/0.37 % (7543)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (7543)Termination reason: Inappropriate
% 0.13/0.37
% 0.13/0.37 % (7543)Memory used [KB]: 717
% 0.13/0.37 % (7543)Time elapsed: 0.001 s
% 0.13/0.37 % (7543)Instructions burned: 2 (million)
% 0.13/0.37 % (7543)------------------------------
% 0.13/0.37 % (7543)------------------------------
% 0.13/0.37 % (7546)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (7544)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (7547)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (7549)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)
% 0.13/0.37 % (7548)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (7546)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (7544)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (7546)Terminated due to inappropriate strategy.
% 0.13/0.37 % (7546)------------------------------
% 0.13/0.37 % (7546)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (7546)Termination reason: Inappropriate
% 0.13/0.37
% 0.13/0.37 % (7544)Terminated due to inappropriate strategy.
% 0.13/0.37 % (7544)------------------------------
% 0.13/0.37 % (7544)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (7546)Memory used [KB]: 718
% 0.13/0.37 % (7544)Termination reason: Inappropriate
% 0.13/0.37 % (7546)Time elapsed: 0.002 s
% 0.13/0.37
% 0.13/0.37 % (7544)Memory used [KB]: 717
% 0.13/0.37 % (7546)Instructions burned: 2 (million)
% 0.13/0.37 % (7544)Time elapsed: 0.002 s
% 0.13/0.37 % (7544)Instructions burned: 2 (million)
% 0.13/0.37 % (7549)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (7549)Terminated due to inappropriate strategy.
% 0.13/0.37 % (7549)------------------------------
% 0.13/0.37 % (7549)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (7549)Termination reason: Inappropriate
% 0.13/0.37
% 0.13/0.37 % (7549)Memory used [KB]: 718
% 0.13/0.37 % (7549)Time elapsed: 0.002 s
% 0.13/0.37 % (7549)Instructions burned: 2 (million)
% 0.13/0.37 % (7546)------------------------------
% 0.13/0.37 % (7546)------------------------------
% 0.13/0.37 % (7544)------------------------------
% 0.13/0.37 % (7544)------------------------------
% 0.13/0.37 % (7549)------------------------------
% 0.13/0.37 % (7549)------------------------------
% 0.13/0.37 % (7547)First to succeed.
% 0.13/0.37 % (7547)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7540"
% 0.13/0.37 % (7548)Also succeeded, but the first one will report.
% 0.13/0.37 % (7547)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (7547)------------------------------
% 0.13/0.37 % (7547)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (7547)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (7547)Memory used [KB]: 747
% 0.13/0.37 % (7547)Time elapsed: 0.003 s
% 0.13/0.37 % (7547)Instructions burned: 2 (million)
% 0.13/0.37 % (7540)Success in time 0.017 s
%------------------------------------------------------------------------------