TSTP Solution File: NUM921_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM921_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 08:43:09 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 5 unt; 2 typ; 0 def)
% Number of atoms : 23 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 2 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 73 ( 21 atm; 22 fun; 11 num; 19 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 16 !; 3 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(func_def_6,type,
sK0: $int ).
tff(f269,plain,
$false,
inference(resolution,[],[f256,f20]) ).
tff(f20,plain,
! [X1: $int] : $less(X1,f(X1)),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ~ $less($sum(sK0,$uminus(f(sK0))),0)
& ! [X1: $int] : $less(X1,f(X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f17,f18]) ).
tff(f18,plain,
( ? [X0: $int] : ~ $less($sum(X0,$uminus(f(X0))),0)
=> ~ $less($sum(sK0,$uminus(f(sK0))),0) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
( ? [X0: $int] : ~ $less($sum(X0,$uminus(f(X0))),0)
& ! [X1: $int] : $less(X1,f(X1)) ),
inference(rectify,[],[f16]) ).
tff(f16,plain,
( ? [X1: $int] : ~ $less($sum(X1,$uminus(f(X1))),0)
& ! [X0: $int] : $less(X0,f(X0)) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ! [X0: $int] : $less(X0,f(X0))
=> ! [X1: $int] : $less($sum(X1,$uminus(f(X1))),0) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int] : $greater(f(X0),X0)
=> ! [X1: $int] : $less($difference(X1,f(X1)),0) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X0: $int] : $greater(f(X0),X0)
=> ! [X1: $int] : $less($difference(X1,f(X1)),0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f256,plain,
~ $less(sK0,f(sK0)),
inference(resolution,[],[f110,f21]) ).
tff(f21,plain,
~ $less($sum(sK0,$uminus(f(sK0))),0),
inference(cnf_transformation,[],[f19]) ).
tff(f110,plain,
! [X0: $int,X1: $int] :
( $less($sum(X1,$uminus(X0)),0)
| ~ $less(X1,X0) ),
inference(superposition,[],[f12,f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM921_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n020.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 : Fri May 3 15:23:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (6136)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (6140)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 % (6137)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (6138)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (6141)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (6142)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (6139)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 % (6143)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 % (6138)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (6137)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (6140)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (6140)Terminated due to inappropriate strategy.
% 0.14/0.38 % (6140)------------------------------
% 0.14/0.38 % (6140)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (6137)Terminated due to inappropriate strategy.
% 0.14/0.38 % (6137)------------------------------
% 0.14/0.38 % (6137)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (6138)Terminated due to inappropriate strategy.
% 0.14/0.38 % (6138)------------------------------
% 0.14/0.38 % (6138)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (6137)Termination reason: Inappropriate
% 0.14/0.38 % (6140)Termination reason: Inappropriate
% 0.14/0.38 % (6138)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (6137)Memory used [KB]: 719
% 0.14/0.38 % (6140)Memory used [KB]: 719
% 0.14/0.38 % (6138)Memory used [KB]: 719
% 0.14/0.38 % (6137)Time elapsed: 0.003 s
% 0.14/0.38 % (6140)Time elapsed: 0.002 s
% 0.14/0.38 % (6138)Time elapsed: 0.003 s
% 0.14/0.38 % (6137)Instructions burned: 2 (million)
% 0.14/0.38 % (6140)Instructions burned: 2 (million)
% 0.14/0.38 % (6138)Instructions burned: 2 (million)
% 0.14/0.38 % (6143)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (6143)Terminated due to inappropriate strategy.
% 0.14/0.38 % (6143)------------------------------
% 0.14/0.38 % (6143)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (6140)------------------------------
% 0.14/0.38 % (6140)------------------------------
% 0.14/0.38 % (6138)------------------------------
% 0.14/0.38 % (6138)------------------------------
% 0.14/0.38 % (6143)Termination reason: Inappropriate
% 0.14/0.38 % (6137)------------------------------
% 0.14/0.38 % (6137)------------------------------
% 0.14/0.38
% 0.14/0.38 % (6143)Memory used [KB]: 720
% 0.14/0.38 % (6143)Time elapsed: 0.003 s
% 0.14/0.38 % (6143)Instructions burned: 2 (million)
% 0.14/0.38 % (6143)------------------------------
% 0.14/0.38 % (6143)------------------------------
% 0.14/0.39 % (6139)First to succeed.
% 0.14/0.39 % (6139)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6136"
% 0.14/0.39 % (6139)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 % (6139)------------------------------
% 0.14/0.39 % (6139)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (6139)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (6139)Memory used [KB]: 849
% 0.14/0.39 % (6139)Time elapsed: 0.010 s
% 0.14/0.39 % (6139)Instructions burned: 12 (million)
% 0.14/0.39 % (6136)Success in time 0.024 s
%------------------------------------------------------------------------------