TSTP Solution File: ARI602_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI602_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 : n031.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 10:35:40 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 3 unt; 1 typ; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 20 ( 9 ~; 3 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 45 ( 19 atm; 0 fun; 14 num; 12 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 : 12 ( 9 !; 3 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(f21,plain,
$false,
inference(evaluation,[],[f20]) ).
tff(f20,plain,
~ $less(4,5),
inference(resolution,[],[f19,f18]) ).
tff(f18,plain,
! [X1: $int] : $less(X1,f(X1)),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ! [X0: $int] :
( ~ $less(X0,f(5))
| ~ $less(4,X0) )
& ! [X1: $int] : $less(X1,f(X1)) ),
inference(rectify,[],[f16]) ).
tff(f16,plain,
( ! [X1: $int] :
( ~ $less(X1,f(5))
| ~ $less(4,X1) )
& ! [X0: $int] : $less(X0,f(X0)) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ! [X0: $int] : $less(X0,f(X0))
=> ? [X1: $int] :
( $less(X1,f(5))
& $less(4,X1) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int] : $greater(f(X0),X0)
=> ? [X1: $int] :
( $less(X1,f(5))
& $less(4,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X0: $int] : $greater(f(X0),X0)
=> ? [X1: $int] :
( $less(X1,f(5))
& $less(4,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fX_gt_X_implies_exist_ineq) ).
tff(f19,plain,
! [X0: $int] :
( ~ $less(X0,f(5))
| ~ $less(4,X0) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI602_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
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 06:02:28 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (15595)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (15596)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (15597)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (15598)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)
% 0.14/0.37 % (15599)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (15601)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (15600)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (15602)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)
% 0.14/0.37 % (15596)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (15596)Terminated due to inappropriate strategy.
% 0.14/0.37 % (15596)------------------------------
% 0.14/0.37 % (15596)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (15596)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (15596)Memory used [KB]: 717
% 0.14/0.37 % (15596)Time elapsed: 0.002 s
% 0.14/0.37 % (15596)Instructions burned: 2 (million)
% 0.14/0.37 % (15596)------------------------------
% 0.14/0.37 % (15596)------------------------------
% 0.14/0.37 % (15597)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (15597)Terminated due to inappropriate strategy.
% 0.14/0.37 % (15597)------------------------------
% 0.14/0.37 % (15597)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (15597)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (15597)Memory used [KB]: 717
% 0.14/0.37 % (15597)Time elapsed: 0.002 s
% 0.14/0.37 % (15597)Instructions burned: 2 (million)
% 0.14/0.37 % (15597)------------------------------
% 0.14/0.37 % (15597)------------------------------
% 0.14/0.37 % (15599)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (15599)Terminated due to inappropriate strategy.
% 0.14/0.37 % (15599)------------------------------
% 0.14/0.37 % (15599)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (15599)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (15599)Memory used [KB]: 717
% 0.14/0.37 % (15599)Time elapsed: 0.002 s
% 0.14/0.37 % (15599)Instructions burned: 2 (million)
% 0.14/0.37 % (15599)------------------------------
% 0.14/0.37 % (15599)------------------------------
% 0.14/0.37 % (15602)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (15602)Terminated due to inappropriate strategy.
% 0.14/0.37 % (15602)------------------------------
% 0.14/0.37 % (15602)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (15602)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (15602)Memory used [KB]: 717
% 0.14/0.37 % (15602)Time elapsed: 0.002 s
% 0.14/0.37 % (15602)Instructions burned: 2 (million)
% 0.14/0.37 % (15602)------------------------------
% 0.14/0.37 % (15602)------------------------------
% 0.14/0.37 % (15600)First to succeed.
% 0.14/0.37 % (15598)Also succeeded, but the first one will report.
% 0.14/0.37 % (15600)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (15600)------------------------------
% 0.14/0.37 % (15600)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (15600)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (15600)Memory used [KB]: 733
% 0.14/0.37 % (15600)Time elapsed: 0.003 s
% 0.14/0.37 % (15600)Instructions burned: 2 (million)
% 0.14/0.37 % (15600)------------------------------
% 0.14/0.37 % (15600)------------------------------
% 0.14/0.37 % (15595)Success in time 0.017 s
%------------------------------------------------------------------------------