TSTP Solution File: ARI720_1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI720_1 : TPTP v8.2.0. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 18:51:02 EDT 2024
% Result : Theorem 31.17s 5.56s
% Output : Refutation 31.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 60 ( 25 unt; 1 typ; 0 def)
% Number of atoms : 111 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 100 ( 48 ~; 46 |; 0 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 360 ( 53 atm; 175 fun; 80 num; 52 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 52 ( 50 !; 2 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $real ).
tff(f152277,plain,
$false,
inference(avatar_sat_refutation,[],[f95763,f109683,f109865,f151835,f152039,f152270]) ).
tff(f152270,plain,
~ spl1_9,
inference(avatar_contradiction_clause,[],[f152269]) ).
tff(f152269,plain,
( $false
| ~ spl1_9 ),
inference(subsumption_resolution,[],[f152124,f9]) ).
tff(f9,plain,
! [X0: $real] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f152124,plain,
( ! [X0: $real] : $less($sum(X0,$sum(-0.5,sK0)),$sum(X0,$sum(-0.5,sK0)))
| ~ spl1_9 ),
inference(evaluation,[],[f152115]) ).
tff(f152115,plain,
( ! [X0: $real] : $less($sum(X0,$sum(-1.0,$sum(0.5,sK0))),$sum(X0,$sum(-0.5,sK0)))
| ~ spl1_9 ),
inference(superposition,[],[f5470,f16429]) ).
tff(f16429,plain,
( ( $floor($sum(0.5,sK0)) = $sum(-0.5,sK0) )
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f16427]) ).
tff(f16427,plain,
( spl1_9
<=> ( $floor($sum(0.5,sK0)) = $sum(-0.5,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).
tff(f5470,plain,
! [X0: $real,X1: $real] : $less($sum(X1,$sum(-1.0,X0)),$sum(X1,$floor(X0))),
inference(superposition,[],[f486,f583]) ).
tff(f583,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X2,$sum(X0,X1)) = $sum(X1,$sum(X0,X2)) ),
inference(superposition,[],[f138,f4]) ).
tff(f4,plain,
! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f138,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) ),
inference(superposition,[],[f5,f4]) ).
tff(f5,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f486,plain,
! [X0: $real,X1: $real] : $less($sum(X0,$sum(-1.0,X1)),$sum(X1,$floor(X0))),
inference(superposition,[],[f354,f4]) ).
tff(f354,plain,
! [X0: $real,X1: $real] : $less($sum(X0,$sum(-1.0,X1)),$sum($floor(X0),X1)),
inference(forward_demodulation,[],[f127,f5]) ).
tff(f127,plain,
! [X0: $real,X1: $real] : $less($sum($sum(X0,-1.0),X1),$sum($floor(X0),X1)),
inference(evaluation,[],[f115]) ).
tff(f115,plain,
! [X0: $real,X1: $real] : $less($sum($sum(X0,$uminus(1.0)),X1),$sum($floor(X0),X1)),
inference(resolution,[],[f12,f16]) ).
tff(f16,plain,
! [X0: $real] : $less($sum(X0,$uminus(1.0)),$floor(X0)),
introduced(theory_axiom_163,[]) ).
tff(f12,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_145,[]) ).
tff(f152039,plain,
( spl1_9
| spl1_5
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f151928,f77,f6507,f16427]) ).
tff(f6507,plain,
( spl1_5
<=> ! [X0: $real] :
( ~ $less(X0,$floor($sum(0.5,sK0)))
| $less(X0,$sum(-0.5,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
tff(f77,plain,
( spl1_1
<=> ( $floor($sum(0.5,sK0)) = $floor($sum(-0.5,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f151928,plain,
( ! [X0: $real] :
( ~ $less(X0,$floor($sum(0.5,sK0)))
| ( $floor($sum(0.5,sK0)) = $sum(-0.5,sK0) )
| $less(X0,$sum(-0.5,sK0)) )
| ~ spl1_1 ),
inference(superposition,[],[f161,f79]) ).
tff(f79,plain,
( ( $floor($sum(0.5,sK0)) = $floor($sum(-0.5,sK0)) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f77]) ).
tff(f161,plain,
! [X0: $real,X1: $real] :
( ~ $less(X1,$floor(X0))
| ( $floor(X0) = X0 )
| $less(X1,X0) ),
inference(resolution,[],[f68,f10]) ).
tff(f10,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f68,plain,
! [X0: $real] :
( $less($floor(X0),X0)
| ( $floor(X0) = X0 ) ),
inference(resolution,[],[f11,f15]) ).
tff(f15,plain,
! [X0: $real] : ~ $less(X0,$floor(X0)),
introduced(theory_axiom_162,[]) ).
tff(f11,plain,
! [X0: $real,X1: $real] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f151835,plain,
~ spl1_5,
inference(avatar_contradiction_clause,[],[f151834]) ).
tff(f151834,plain,
( $false
| ~ spl1_5 ),
inference(subsumption_resolution,[],[f151809,f9]) ).
tff(f151809,plain,
( $less($sum(-0.5,sK0),$sum(-0.5,sK0))
| ~ spl1_5 ),
inference(evaluation,[],[f151663]) ).
tff(f151663,plain,
( $less($sum(-1.0,$sum(0.5,sK0)),$sum(-0.5,sK0))
| ~ spl1_5 ),
inference(resolution,[],[f6508,f37]) ).
tff(f37,plain,
! [X0: $real] : $less($sum(-1.0,X0),$floor(X0)),
inference(evaluation,[],[f35]) ).
tff(f35,plain,
! [X0: $real] : $less($sum($uminus(1.0),X0),$floor(X0)),
inference(superposition,[],[f16,f4]) ).
tff(f6508,plain,
( ! [X0: $real] :
( ~ $less(X0,$floor($sum(0.5,sK0)))
| $less(X0,$sum(-0.5,sK0)) )
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f6507]) ).
tff(f109865,plain,
( spl1_5
| ~ spl1_2
| spl1_4 ),
inference(avatar_split_clause,[],[f109864,f4020,f81,f6507]) ).
tff(f81,plain,
( spl1_2
<=> $less($floor($sum(0.5,sK0)),$floor($sum(-0.5,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f4020,plain,
( spl1_4
<=> ( $sum(-0.5,sK0) = $floor($sum(-0.5,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f109864,plain,
( ! [X0: $real] :
( ~ $less(X0,$floor($sum(0.5,sK0)))
| $less(X0,$sum(-0.5,sK0)) )
| ~ spl1_2
| spl1_4 ),
inference(subsumption_resolution,[],[f109786,f4021]) ).
tff(f4021,plain,
( ( $sum(-0.5,sK0) != $floor($sum(-0.5,sK0)) )
| spl1_4 ),
inference(avatar_component_clause,[],[f4020]) ).
tff(f109786,plain,
( ! [X0: $real] :
( ~ $less(X0,$floor($sum(0.5,sK0)))
| ( $sum(-0.5,sK0) = $floor($sum(-0.5,sK0)) )
| $less(X0,$sum(-0.5,sK0)) )
| ~ spl1_2 ),
inference(resolution,[],[f109726,f161]) ).
tff(f109726,plain,
( ! [X0: $real] :
( $less(X0,$floor($sum(-0.5,sK0)))
| ~ $less(X0,$floor($sum(0.5,sK0))) )
| ~ spl1_2 ),
inference(resolution,[],[f83,f10]) ).
tff(f83,plain,
( $less($floor($sum(0.5,sK0)),$floor($sum(-0.5,sK0)))
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f81]) ).
tff(f109683,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f109665,f81,f77]) ).
tff(f109665,plain,
( $less($floor($sum(0.5,sK0)),$floor($sum(-0.5,sK0)))
| ( $floor($sum(0.5,sK0)) = $floor($sum(-0.5,sK0)) ) ),
inference(resolution,[],[f52,f11]) ).
tff(f52,plain,
~ $less($floor($sum(-0.5,sK0)),$floor($sum(0.5,sK0))),
inference(forward_demodulation,[],[f51,f4]) ).
tff(f51,plain,
~ $less($floor($sum(sK0,-0.5)),$floor($sum(0.5,sK0))),
inference(forward_demodulation,[],[f20,f4]) ).
tff(f20,plain,
~ $less($floor($sum(sK0,-0.5)),$floor($sum(sK0,0.5))),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
~ $less($floor($sum(sK0,-0.5)),$floor($sum(sK0,0.5))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f17,f18]) ).
tff(f18,plain,
( ? [X0: $real] : ~ $less($floor($sum(X0,-0.5)),$floor($sum(X0,0.5)))
=> ~ $less($floor($sum(sK0,-0.5)),$floor($sum(sK0,0.5))) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
? [X0: $real] : ~ $less($floor($sum(X0,-0.5)),$floor($sum(X0,0.5))),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $real] : $less($floor($sum(X0,-0.5)),$floor($sum(X0,0.5))),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] : $greater($floor($sum(X0,0.5)),$floor($sum(X0,-0.5))),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $real] : $greater($floor($sum(X0,0.5)),$floor($sum(X0,-0.5))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).
tff(f95763,plain,
( spl1_5
| ~ spl1_2
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f95689,f4020,f81,f6507]) ).
tff(f95689,plain,
( ! [X0: $real] :
( $less(X0,$sum(-0.5,sK0))
| ~ $less(X0,$floor($sum(0.5,sK0))) )
| ~ spl1_2
| ~ spl1_4 ),
inference(backward_demodulation,[],[f81604,f4022]) ).
tff(f4022,plain,
( ( $sum(-0.5,sK0) = $floor($sum(-0.5,sK0)) )
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f4020]) ).
tff(f81604,plain,
( ! [X0: $real] :
( $less(X0,$floor($sum(-0.5,sK0)))
| ~ $less(X0,$floor($sum(0.5,sK0))) )
| ~ spl1_2 ),
inference(resolution,[],[f83,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI720_1 : TPTP v8.2.0. Released v6.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n021.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 : Sun May 19 13:15:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (17383)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (17384)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (17386)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 % (17388)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (17385)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (17387)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 % (17389)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (17390)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 % (17384)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (17384)Terminated due to inappropriate strategy.
% 0.14/0.37 % (17384)------------------------------
% 0.14/0.37 % (17384)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (17384)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (17384)Memory used [KB]: 719
% 0.14/0.37 % (17384)Time elapsed: 0.002 s
% 0.14/0.37 % (17384)Instructions burned: 2 (million)
% 0.14/0.37 % (17385)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (17385)Terminated due to inappropriate strategy.
% 0.14/0.37 % (17385)------------------------------
% 0.14/0.37 % (17385)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (17385)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (17385)Memory used [KB]: 719
% 0.14/0.37 % (17385)Time elapsed: 0.002 s
% 0.14/0.37 % (17385)Instructions burned: 2 (million)
% 0.14/0.37 % (17387)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (17387)Terminated due to inappropriate strategy.
% 0.14/0.37 % (17387)------------------------------
% 0.14/0.37 % (17387)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (17387)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (17387)Memory used [KB]: 719
% 0.14/0.37 % (17387)Time elapsed: 0.002 s
% 0.14/0.37 % (17387)Instructions burned: 2 (million)
% 0.14/0.37 % (17384)------------------------------
% 0.14/0.37 % (17384)------------------------------
% 0.14/0.37 % (17390)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (17385)------------------------------
% 0.14/0.37 % (17385)------------------------------
% 0.14/0.37 % (17390)Terminated due to inappropriate strategy.
% 0.14/0.37 % (17390)------------------------------
% 0.14/0.37 % (17390)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (17390)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (17390)Memory used [KB]: 719
% 0.14/0.37 % (17390)Time elapsed: 0.002 s
% 0.14/0.37 % (17390)Instructions burned: 2 (million)
% 0.14/0.37 % (17387)------------------------------
% 0.14/0.37 % (17387)------------------------------
% 0.14/0.37 % (17390)------------------------------
% 0.14/0.37 % (17390)------------------------------
% 0.14/0.39 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.39 % (17391)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)
% 0.14/0.39 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.39 % (17393)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)
% 0.14/0.39 % (17392)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)
% 0.14/0.39 % (17394)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)
% 0.14/0.39 % (17391)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.39 % (17391)Terminated due to inappropriate strategy.
% 0.14/0.39 % (17391)------------------------------
% 0.14/0.39 % (17391)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (17391)Termination reason: Inappropriate
% 0.14/0.39
% 0.14/0.39 % (17391)Memory used [KB]: 719
% 0.14/0.39 % (17391)Time elapsed: 0.002 s
% 0.14/0.39 % (17391)Instructions burned: 2 (million)
% 0.14/0.39 % (17393)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.39 % (17393)Terminated due to inappropriate strategy.
% 0.14/0.39 % (17393)------------------------------
% 0.14/0.39 % (17393)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (17393)Termination reason: Inappropriate
% 0.14/0.39
% 0.14/0.39 % (17393)Memory used [KB]: 719
% 0.14/0.39 % (17393)Time elapsed: 0.002 s
% 0.14/0.39 % (17393)Instructions burned: 2 (million)
% 0.14/0.39 % (17391)------------------------------
% 0.14/0.39 % (17391)------------------------------
% 0.14/0.39 % (17393)------------------------------
% 0.14/0.39 % (17393)------------------------------
% 0.20/0.41 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.20/0.41 % (17395)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 31.17/5.56 % (17389)First to succeed.
% 31.17/5.56 % (17389)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17383"
% 31.17/5.56 % (17389)Refutation found. Thanks to Tanya!
% 31.17/5.56 % SZS status Theorem for theBenchmark
% 31.17/5.56 % SZS output start Proof for theBenchmark
% See solution above
% 31.17/5.56 % (17389)------------------------------
% 31.17/5.56 % (17389)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 31.17/5.56 % (17389)Termination reason: Refutation
% 31.17/5.56
% 31.17/5.56 % (17389)Memory used [KB]: 61333
% 31.17/5.56 % (17389)Time elapsed: 5.186 s
% 31.17/5.56 % (17389)Instructions burned: 20816 (million)
% 31.17/5.56 % (17383)Success in time 5.204 s
%------------------------------------------------------------------------------