TSTP Solution File: ARI608_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI608_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 : n003.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 Apr 30 10:35:41 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 6 unt; 4 typ; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 41 ( 17 ~; 6 |; 12 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 53 ( 37 atm; 0 fun; 0 num; 16 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 : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 16 ( 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(func_def_1,type,
a: $int ).
tff(func_def_2,type,
b: $int ).
tff(func_def_3,type,
c: $int ).
tff(f72,plain,
$false,
inference(resolution,[],[f59,f20]) ).
tff(f20,plain,
$less(b,c),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( $less(f(c),f(a))
& $less(b,c)
& ~ $less(b,a)
& ! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
( $less(f(c),f(a))
& $less(b,c)
& ~ $less(b,a)
& ! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ( $less(b,c)
& ~ $less(b,a)
& ! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
=> ~ $less(f(X1),f(X0)) ) )
=> ~ $less(f(c),f(a)) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( $less(b,c)
& $lesseq(a,b)
& ! [X0: $int,X1: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) ) )
=> $lesseq(f(a),f(c)) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( $less(b,c)
& $lesseq(a,b)
& ! [X0: $int,X1: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) ) )
=> $lesseq(f(a),f(c)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_mon_implies_trans) ).
tff(f59,plain,
~ $less(b,c),
inference(resolution,[],[f54,f26]) ).
tff(f26,plain,
$less(c,a),
inference(resolution,[],[f18,f21]) ).
tff(f21,plain,
$less(f(c),f(a)),
inference(cnf_transformation,[],[f17]) ).
tff(f18,plain,
! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ),
inference(cnf_transformation,[],[f17]) ).
tff(f54,plain,
! [X0: $int] :
( ~ $less(X0,a)
| ~ $less(b,X0) ),
inference(resolution,[],[f10,f19]) ).
tff(f19,plain,
~ $less(b,a),
inference(cnf_transformation,[],[f17]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_143,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ARI608_1 : TPTP v8.1.2. Released v5.1.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n003.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 : Tue Apr 30 05:41:03 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (4114)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (4118)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (4118)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (4118)Terminated due to inappropriate strategy.
% 0.14/0.38 % (4118)------------------------------
% 0.14/0.38 % (4118)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (4118)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (4118)Memory used [KB]: 718
% 0.14/0.38 % (4118)Time elapsed: 0.002 s
% 0.14/0.38 % (4118)Instructions burned: 2 (million)
% 0.14/0.38 % (4118)------------------------------
% 0.14/0.38 % (4118)------------------------------
% 0.14/0.38 % (4115)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (4116)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (4119)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (4117)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38 % (4120)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (4121)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 % (4115)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (4115)Terminated due to inappropriate strategy.
% 0.14/0.38 % (4115)------------------------------
% 0.14/0.38 % (4115)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (4115)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (4115)Memory used [KB]: 717
% 0.14/0.38 % (4115)Time elapsed: 0.002 s
% 0.14/0.38 % (4115)Instructions burned: 2 (million)
% 0.14/0.38 % (4115)------------------------------
% 0.14/0.38 % (4115)------------------------------
% 0.14/0.38 % (4116)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (4116)Terminated due to inappropriate strategy.
% 0.14/0.38 % (4116)------------------------------
% 0.14/0.38 % (4116)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (4116)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (4116)Memory used [KB]: 717
% 0.14/0.38 % (4116)Time elapsed: 0.002 s
% 0.14/0.38 % (4116)Instructions burned: 2 (million)
% 0.14/0.38 % (4116)------------------------------
% 0.14/0.38 % (4116)------------------------------
% 0.14/0.38 % (4121)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (4121)Terminated due to inappropriate strategy.
% 0.14/0.38 % (4121)------------------------------
% 0.14/0.38 % (4121)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (4121)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (4121)Memory used [KB]: 718
% 0.14/0.38 % (4121)Time elapsed: 0.002 s
% 0.14/0.38 % (4121)Instructions burned: 2 (million)
% 0.14/0.38 % (4121)------------------------------
% 0.14/0.38 % (4121)------------------------------
% 0.14/0.38 % (4117)First to succeed.
% 0.14/0.38 % (4119)Also succeeded, but the first one will report.
% 0.14/0.38 % (4117)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (4117)------------------------------
% 0.14/0.38 % (4117)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (4117)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (4117)Memory used [KB]: 759
% 0.14/0.38 % (4117)Time elapsed: 0.005 s
% 0.14/0.38 % (4117)Instructions burned: 5 (million)
% 0.14/0.38 % (4117)------------------------------
% 0.14/0.38 % (4117)------------------------------
% 0.14/0.38 % (4114)Success in time 0.018 s
%------------------------------------------------------------------------------