TSTP Solution File: ARI585_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI585_1 : TPTP v8.2.0. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 : Mon May 20 18:50:43 EDT 2024
% Result : Theorem 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 12 unt; 2 typ; 0 def)
% Number of atoms : 57 ( 1 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 57 ( 23 ~; 12 |; 18 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 181 ( 55 atm; 45 fun; 43 num; 38 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 : 8 ( 2 usr; 6 con; 0-2 aty)
% Number of variables : 38 ( 28 !; 10 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(func_def_8,type,
sK1: $int > $int ).
tff(f620,plain,
$false,
inference(resolution,[],[f353,f96]) ).
tff(f96,plain,
~ $less(sK1($sum(5,sK0)),$sum(9,sK0)),
inference(evaluation,[],[f93]) ).
tff(f93,plain,
~ $less(sK1($sum(5,sK0)),$sum($sum(5,sK0),4)),
inference(resolution,[],[f20,f24]) ).
tff(f24,plain,
! [X1: $int] : $less($sum(5,sK0),sK1(X1)),
inference(backward_demodulation,[],[f21,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f21,plain,
! [X1: $int] : $less($sum(sK0,5),sK1(X1)),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
! [X1: $int] :
( $less(sK1(X1),$sum(sK0,8))
& $less($sum(sK0,5),sK1(X1))
& ( ~ $less(sK1(X1),$sum(X1,4))
| ~ $less(X1,sK1(X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f18,f17]) ).
tff(f17,plain,
( ? [X0: $int] :
! [X1: $int] :
? [X2: $int] :
( $less(X2,$sum(X0,8))
& $less($sum(X0,5),X2)
& ( ~ $less(X2,$sum(X1,4))
| ~ $less(X1,X2) ) )
=> ! [X1: $int] :
? [X2: $int] :
( $less(X2,$sum(sK0,8))
& $less($sum(sK0,5),X2)
& ( ~ $less(X2,$sum(X1,4))
| ~ $less(X1,X2) ) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
! [X1: $int] :
( ? [X2: $int] :
( $less(X2,$sum(sK0,8))
& $less($sum(sK0,5),X2)
& ( ~ $less(X2,$sum(X1,4))
| ~ $less(X1,X2) ) )
=> ( $less(sK1(X1),$sum(sK0,8))
& $less($sum(sK0,5),sK1(X1))
& ( ~ $less(sK1(X1),$sum(X1,4))
| ~ $less(X1,sK1(X1)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int] :
! [X1: $int] :
? [X2: $int] :
( $less(X2,$sum(X0,8))
& $less($sum(X0,5),X2)
& ( ~ $less(X2,$sum(X1,4))
| ~ $less(X1,X2) ) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
? [X0: $int] :
! [X1: $int] :
? [X2: $int] :
( ( ~ $less(X2,$sum(X1,4))
| ~ $less(X1,X2) )
& $less($sum(X0,5),X2)
& $less(X2,$sum(X0,8)) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
? [X1: $int] :
! [X2: $int] :
( ( $less($sum(X0,5),X2)
& $less(X2,$sum(X0,8)) )
=> ( $less(X1,X2)
& $less(X2,$sum(X1,4)) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
? [X1: $int] :
! [X2: $int] :
( ( $less($sum(X0,5),X2)
& $less(X2,$sum(X0,8)) )
=> ( $less(X1,X2)
& $less(X2,$sum(X1,4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',interv_4_can_cover_interv_3) ).
tff(f20,plain,
! [X1: $int] :
( ~ $less(X1,sK1(X1))
| ~ $less(sK1(X1),$sum(X1,4)) ),
inference(cnf_transformation,[],[f19]) ).
tff(f353,plain,
! [X0: $int] : $less(sK1(X0),$sum(9,sK0)),
inference(evaluation,[],[f348]) ).
tff(f348,plain,
! [X0: $int] : $less(sK1(X0),$sum($sum(8,sK0),1)),
inference(resolution,[],[f66,f30]) ).
tff(f30,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(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f66,plain,
! [X0: $int,X1: $int] :
( ~ $less($sum(8,sK0),X1)
| $less(sK1(X0),X1) ),
inference(resolution,[],[f9,f25]) ).
tff(f25,plain,
! [X1: $int] : $less(sK1(X1),$sum(8,sK0)),
inference(backward_demodulation,[],[f22,f3]) ).
tff(f22,plain,
! [X1: $int] : $less(sK1(X1),$sum(sK0,8)),
inference(cnf_transformation,[],[f19]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,X2)
| ~ $less(X1,X2) ),
introduced(theory_axiom_143,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ARI585_1 : TPTP v8.2.0. Released v5.1.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 12:49:52 EDT 2024
% 0.19/0.34 % CPUTime :
% 0.19/0.35 % (1186)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.36 % (1192)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.19/0.36 % (1191)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.19/0.36 % (1190)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.19/0.36 % (1188)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.36 % (1189)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)
% 0.19/0.36 % (1193)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)
% 0.19/0.36 % (1187)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.19/0.36 % (1193)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.36 % (1188)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.36 % (1190)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.36 % (1188)Terminated due to inappropriate strategy.
% 0.19/0.36 % (1188)------------------------------
% 0.19/0.36 % (1188)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.36 % (1193)Terminated due to inappropriate strategy.
% 0.19/0.36 % (1193)------------------------------
% 0.19/0.36 % (1193)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.36 % (1187)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.36 % (1188)Termination reason: Inappropriate
% 0.19/0.36 % (1193)Termination reason: Inappropriate
% 0.19/0.36
% 0.19/0.36
% 0.19/0.36 % (1188)Memory used [KB]: 720
% 0.19/0.36 % (1193)Memory used [KB]: 720
% 0.19/0.36 % (1188)Time elapsed: 0.002 s
% 0.19/0.36 % (1193)Time elapsed: 0.002 s
% 0.19/0.36 % (1188)Instructions burned: 2 (million)
% 0.19/0.36 % (1193)Instructions burned: 2 (million)
% 0.19/0.36 % (1187)Terminated due to inappropriate strategy.
% 0.19/0.36 % (1187)------------------------------
% 0.19/0.36 % (1187)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.36 % (1187)Termination reason: Inappropriate
% 0.19/0.36
% 0.19/0.36 % (1187)Memory used [KB]: 720
% 0.19/0.36 % (1187)Time elapsed: 0.002 s
% 0.19/0.36 % (1187)Instructions burned: 2 (million)
% 0.19/0.36 % (1190)Terminated due to inappropriate strategy.
% 0.19/0.36 % (1190)------------------------------
% 0.19/0.36 % (1190)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.36 % (1190)Termination reason: Inappropriate
% 0.19/0.36
% 0.19/0.36 % (1190)Memory used [KB]: 720
% 0.19/0.36 % (1190)Time elapsed: 0.002 s
% 0.19/0.36 % (1190)Instructions burned: 2 (million)
% 0.19/0.36 % (1193)------------------------------
% 0.19/0.36 % (1193)------------------------------
% 0.19/0.36 % (1188)------------------------------
% 0.19/0.36 % (1188)------------------------------
% 0.19/0.36 % (1187)------------------------------
% 0.19/0.36 % (1187)------------------------------
% 0.19/0.36 % (1190)------------------------------
% 0.19/0.36 % (1190)------------------------------
% 0.19/0.38 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.19/0.38 % (1194)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.38 % (1196)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_470 on theBenchmark for (470ds/0Mi)
% 0.19/0.38 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.19/0.38 % (1195)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:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_476 on theBenchmark for (476ds/0Mi)
% 0.19/0.38 % (1197)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_396 on theBenchmark for (396ds/0Mi)
% 0.19/0.38 % (1194)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.38 % (1194)Terminated due to inappropriate strategy.
% 0.19/0.38 % (1194)------------------------------
% 0.19/0.38 % (1194)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.38 % (1194)Termination reason: Inappropriate
% 0.19/0.38
% 0.19/0.38 % (1194)Memory used [KB]: 720
% 0.19/0.38 % (1194)Time elapsed: 0.002 s
% 0.19/0.38 % (1194)Instructions burned: 2 (million)
% 0.19/0.38 % (1196)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.38 % (1196)Terminated due to inappropriate strategy.
% 0.19/0.38 % (1196)------------------------------
% 0.19/0.38 % (1196)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.38 % (1196)Termination reason: Inappropriate
% 0.19/0.38
% 0.19/0.38 % (1196)Memory used [KB]: 720
% 0.19/0.38 % (1196)Time elapsed: 0.002 s
% 0.19/0.38 % (1196)Instructions burned: 2 (million)
% 0.19/0.38 % (1194)------------------------------
% 0.19/0.38 % (1194)------------------------------
% 0.19/0.38 % (1196)------------------------------
% 0.19/0.38 % (1196)------------------------------
% 0.19/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.19/0.40 % (1198)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 0.19/0.41 % (1198)First to succeed.
% 0.19/0.42 % (1198)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1186"
% 0.19/0.42 % (1198)Refutation found. Thanks to Tanya!
% 0.19/0.42 % SZS status Theorem for theBenchmark
% 0.19/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.42 % (1198)------------------------------
% 0.19/0.42 % (1198)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.42 % (1198)Termination reason: Refutation
% 0.19/0.42
% 0.19/0.42 % (1198)Memory used [KB]: 927
% 0.19/0.42 % (1198)Time elapsed: 0.019 s
% 0.19/0.42 % (1198)Instructions burned: 29 (million)
% 0.19/0.42 % (1186)Success in time 0.059 s
%------------------------------------------------------------------------------