TSTP Solution File: ARI581_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI581_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 : n006.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 0.19s 0.37s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 51 ( 19 unt; 1 typ; 0 def)
% Number of atoms : 94 ( 13 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 86 ( 42 ~; 31 |; 6 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 201 ( 54 atm; 40 fun; 69 num; 38 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 1 usr; 8 con; 0-2 aty)
% Number of variables : 38 ( 34 !; 4 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(f235,plain,
$false,
inference(avatar_sat_refutation,[],[f104,f203,f213,f223,f234]) ).
tff(f234,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f233]) ).
tff(f233,plain,
( $false
| ~ spl1_1 ),
inference(evaluation,[],[f230]) ).
tff(f230,plain,
( ~ $less(7,$sum(6,$sum(-1,3)))
| ~ spl1_1 ),
inference(resolution,[],[f225,f188]) ).
tff(f188,plain,
! [X0: $int] : $less($sum(-1,X0),X0),
inference(evaluation,[],[f187]) ).
tff(f187,plain,
! [X0: $int] : $less($sum($uminus(1),X0),X0),
inference(superposition,[],[f37,f136]) ).
tff(f136,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f119]) ).
tff(f119,plain,
! [X0: $int,X1: $int] : ( $sum(0,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f4,f7]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f37,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f32,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
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(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f225,plain,
( ! [X1: $int] :
( ~ $less(X1,3)
| ~ $less(7,$sum(6,X1)) )
| ~ spl1_1 ),
inference(backward_demodulation,[],[f19,f67]) ).
tff(f67,plain,
( ( sK0 = 6 )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f65]) ).
tff(f65,plain,
( spl1_1
<=> ( sK0 = 6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f19,plain,
! [X1: $int] :
( ~ $less(X1,3)
| ~ $less(7,$sum(sK0,X1)) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ! [X1: $int] :
( ~ $less(7,$sum(sK0,X1))
| ~ $less(X1,3) )
& $less(5,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] :
( ! [X1: $int] :
( ~ $less(7,$sum(X0,X1))
| ~ $less(X1,3) )
& $less(5,X0) )
=> ( ! [X1: $int] :
( ~ $less(7,$sum(sK0,X1))
| ~ $less(X1,3) )
& $less(5,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] :
( ! [X1: $int] :
( ~ $less(7,$sum(X0,X1))
| ~ $less(X1,3) )
& $less(5,X0) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( $less(5,X0)
=> ? [X1: $int] :
( $less(7,$sum(X0,X1))
& $less(X1,3) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( $less(5,X0)
=> ? [X1: $int] :
( $less(7,$sum(X0,X1))
& $less(X1,3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mix_quant_ineq_sys_solvable_2) ).
tff(f223,plain,
~ spl1_4,
inference(avatar_split_clause,[],[f220,f100]) ).
tff(f100,plain,
( spl1_4
<=> $less(7,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f220,plain,
~ $less(7,sK0),
inference(evaluation,[],[f217]) ).
tff(f217,plain,
( ~ $less(7,$sum(sK0,0))
| $less(3,1) ),
inference(resolution,[],[f19,f145]) ).
tff(f145,plain,
! [X0: $int] :
( $less(X0,1)
| $less(0,X0) ),
inference(superposition,[],[f33,f5]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f33,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f12,f3]) ).
tff(f213,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f211,f69,f65]) ).
tff(f69,plain,
( spl1_2
<=> $less(6,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f211,plain,
( $less(6,sK0)
| ( sK0 = 6 ) ),
inference(resolution,[],[f43,f10]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f43,plain,
~ $less(sK0,6),
inference(evaluation,[],[f40]) ).
tff(f40,plain,
~ $less(sK0,$sum(5,1)),
inference(resolution,[],[f14,f18]) ).
tff(f18,plain,
$less(5,sK0),
inference(cnf_transformation,[],[f17]) ).
tff(f14,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_161,[]) ).
tff(f203,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f202]) ).
tff(f202,plain,
( $false
| ~ spl1_3 ),
inference(evaluation,[],[f195]) ).
tff(f195,plain,
( ~ $less(7,$sum(7,$sum(-1,3)))
| ~ spl1_3 ),
inference(resolution,[],[f188,f108]) ).
tff(f108,plain,
( ! [X1: $int] :
( ~ $less(X1,3)
| ~ $less(7,$sum(7,X1)) )
| ~ spl1_3 ),
inference(backward_demodulation,[],[f19,f98]) ).
tff(f98,plain,
( ( 7 = sK0 )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f96]) ).
tff(f96,plain,
( spl1_3
<=> ( 7 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f104,plain,
( spl1_3
| spl1_4
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f94,f69,f100,f96]) ).
tff(f94,plain,
( $less(7,sK0)
| ( 7 = sK0 )
| ~ spl1_2 ),
inference(resolution,[],[f76,f10]) ).
tff(f76,plain,
( ~ $less(sK0,7)
| ~ spl1_2 ),
inference(evaluation,[],[f75]) ).
tff(f75,plain,
( ~ $less(sK0,$sum(6,1))
| ~ spl1_2 ),
inference(resolution,[],[f71,f14]) ).
tff(f71,plain,
( $less(6,sK0)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI581_1 : TPTP v8.1.2. Released v5.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 05:28:20 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (22798)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (22800)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (22800)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36 % (22800)Terminated due to inappropriate strategy.
% 0.13/0.36 % (22800)------------------------------
% 0.13/0.36 % (22800)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.36 % (22800)Termination reason: Inappropriate
% 0.13/0.36
% 0.13/0.36 % (22800)Memory used [KB]: 717
% 0.13/0.36 % (22800)Time elapsed: 0.002 s
% 0.13/0.36 % (22800)Instructions burned: 2 (million)
% 0.13/0.36 % (22800)------------------------------
% 0.13/0.36 % (22800)------------------------------
% 0.13/0.36 % (22799)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36 % (22802)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36 % (22801)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)
% 0.13/0.36 % (22804)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36 % (22803)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36 % (22805)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)
% 0.13/0.36 % (22802)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36 % (22799)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36 % (22799)Terminated due to inappropriate strategy.
% 0.13/0.36 % (22799)------------------------------
% 0.13/0.36 % (22799)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.36 % (22799)Termination reason: Inappropriate
% 0.13/0.36
% 0.13/0.36 % (22799)Memory used [KB]: 717
% 0.13/0.36 % (22799)Time elapsed: 0.002 s
% 0.13/0.36 % (22799)Instructions burned: 2 (million)
% 0.13/0.36 % (22799)------------------------------
% 0.13/0.36 % (22799)------------------------------
% 0.13/0.36 % (22802)Terminated due to inappropriate strategy.
% 0.13/0.36 % (22802)------------------------------
% 0.13/0.36 % (22802)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.36 % (22802)Termination reason: Inappropriate
% 0.13/0.36
% 0.13/0.36 % (22802)Memory used [KB]: 718
% 0.13/0.36 % (22802)Time elapsed: 0.002 s
% 0.13/0.36 % (22802)Instructions burned: 2 (million)
% 0.13/0.36 % (22802)------------------------------
% 0.13/0.36 % (22802)------------------------------
% 0.19/0.36 % (22805)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.36 % (22805)Terminated due to inappropriate strategy.
% 0.19/0.36 % (22805)------------------------------
% 0.19/0.36 % (22805)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.36 % (22805)Termination reason: Inappropriate
% 0.19/0.36
% 0.19/0.36 % (22805)Memory used [KB]: 718
% 0.19/0.36 % (22805)Time elapsed: 0.002 s
% 0.19/0.36 % (22805)Instructions burned: 2 (million)
% 0.19/0.36 % (22805)------------------------------
% 0.19/0.36 % (22805)------------------------------
% 0.19/0.37 % (22806)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)
% 0.19/0.37 % (22806)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.37 % (22806)Terminated due to inappropriate strategy.
% 0.19/0.37 % (22806)------------------------------
% 0.19/0.37 % (22806)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.37 % (22806)Termination reason: Inappropriate
% 0.19/0.37
% 0.19/0.37 % (22806)Memory used [KB]: 718
% 0.19/0.37 % (22806)Time elapsed: 0.001 s
% 0.19/0.37 % (22806)Instructions burned: 2 (million)
% 0.19/0.37 % (22806)------------------------------
% 0.19/0.37 % (22806)------------------------------
% 0.19/0.37 % (22804)First to succeed.
% 0.19/0.37 % (22804)Refutation found. Thanks to Tanya!
% 0.19/0.37 % SZS status Theorem for theBenchmark
% 0.19/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.37 % (22804)------------------------------
% 0.19/0.37 % (22804)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.37 % (22804)Termination reason: Refutation
% 0.19/0.37
% 0.19/0.37 % (22804)Memory used [KB]: 857
% 0.19/0.37 % (22804)Time elapsed: 0.010 s
% 0.19/0.37 % (22804)Instructions burned: 12 (million)
% 0.19/0.37 % (22804)------------------------------
% 0.19/0.37 % (22804)------------------------------
% 0.19/0.37 % (22798)Success in time 0.012 s
%------------------------------------------------------------------------------