TSTP Solution File: ARI580_1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI580_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 : n008.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 10:35:37 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 8 unt; 1 typ; 0 def)
% Number of atoms : 35 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 23 ~; 12 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 99 ( 33 atm; 19 fun; 17 num; 30 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 26 !; 4 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(f159,plain,
$false,
inference(evaluation,[],[f152]) ).
tff(f152,plain,
~ $less(2,3),
inference(resolution,[],[f100,f68]) ).
tff(f68,plain,
! [X0: $int] : $less(X0,$sum(2,X0)),
inference(evaluation,[],[f63]) ).
tff(f63,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),1)),
inference(resolution,[],[f55,f12]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f55,plain,
! [X0: $int] : ~ $less($sum(X0,1),X0),
inference(resolution,[],[f51,f32]) ).
tff(f32,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f12,f8]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f51,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X0) ),
inference(resolution,[],[f9,f8]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_143,[]) ).
tff(f100,plain,
! [X0: $int] :
( ~ $less(sK0,$sum(X0,sK0))
| ~ $less(X0,3) ),
inference(resolution,[],[f11,f23]) ).
tff(f23,plain,
! [X1: $int] :
( ~ $less(X1,$sum(3,sK0))
| ~ $less(sK0,X1) ),
inference(backward_demodulation,[],[f18,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f18,plain,
! [X1: $int] :
( ~ $less(X1,$sum(sK0,3))
| ~ $less(sK0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X1: $int] :
( ~ $less(X1,$sum(sK0,3))
| ~ $less(sK0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] :
! [X1: $int] :
( ~ $less(X1,$sum(X0,3))
| ~ $less(X0,X1) )
=> ! [X1: $int] :
( ~ $less(X1,$sum(sK0,3))
| ~ $less(sK0,X1) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] :
! [X1: $int] :
( ~ $less(X1,$sum(X0,3))
| ~ $less(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
? [X1: $int] :
( $less(X1,$sum(X0,3))
& $less(X0,X1) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
? [X1: $int] :
( $less(X1,$sum(X0,3))
& $less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mix_quant_ineq_sys_solvable_1) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI580_1 : TPTP v8.1.2. Released v5.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n008.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 05:34:57 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (3279)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (3280)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (3281)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (3282)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 % (3283)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 % (3284)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (3285)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (3286)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 % (3280)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (3281)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (3281)Terminated due to inappropriate strategy.
% 0.14/0.38 % (3281)------------------------------
% 0.14/0.38 % (3281)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (3280)Terminated due to inappropriate strategy.
% 0.14/0.38 % (3280)------------------------------
% 0.14/0.38 % (3280)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (3281)Termination reason: Inappropriate
% 0.14/0.38 % (3280)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (3281)Memory used [KB]: 717
% 0.14/0.38 % (3280)Memory used [KB]: 717
% 0.14/0.38 % (3281)Time elapsed: 0.002 s
% 0.14/0.38 % (3280)Time elapsed: 0.002 s
% 0.14/0.38 % (3281)Instructions burned: 2 (million)
% 0.14/0.38 % (3280)Instructions burned: 2 (million)
% 0.14/0.38 % (3281)------------------------------
% 0.14/0.38 % (3281)------------------------------
% 0.14/0.38 % (3280)------------------------------
% 0.14/0.38 % (3280)------------------------------
% 0.14/0.38 % (3283)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (3283)Terminated due to inappropriate strategy.
% 0.14/0.38 % (3283)------------------------------
% 0.14/0.38 % (3283)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (3283)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (3283)Memory used [KB]: 717
% 0.14/0.38 % (3283)Time elapsed: 0.002 s
% 0.14/0.38 % (3283)Instructions burned: 2 (million)
% 0.14/0.38 % (3283)------------------------------
% 0.14/0.38 % (3283)------------------------------
% 0.14/0.38 % (3286)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (3286)Terminated due to inappropriate strategy.
% 0.14/0.38 % (3286)------------------------------
% 0.14/0.38 % (3286)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (3286)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (3286)Memory used [KB]: 717
% 0.14/0.38 % (3286)Time elapsed: 0.002 s
% 0.14/0.38 % (3286)Instructions burned: 2 (million)
% 0.14/0.38 % (3286)------------------------------
% 0.14/0.38 % (3286)------------------------------
% 0.14/0.38 % (3282)First to succeed.
% 0.14/0.38 % (3282)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 % (3282)------------------------------
% 0.14/0.38 % (3282)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (3282)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (3282)Memory used [KB]: 841
% 0.14/0.38 % (3282)Time elapsed: 0.007 s
% 0.14/0.38 % (3282)Instructions burned: 8 (million)
% 0.14/0.38 % (3282)------------------------------
% 0.14/0.38 % (3282)------------------------------
% 0.14/0.38 % (3279)Success in time 0.021 s
%------------------------------------------------------------------------------