TSTP Solution File: ARI572_1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI572_1 : TPTP v8.2.0. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.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 18:47:59 EDT 2024
% Result : Theorem 0.78s 0.96s
% Output : Refutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of formulae : 58 ( 16 unt; 6 typ; 0 def)
% Number of atoms : 93 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 77 ( 36 ~; 32 |; 4 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 138 ( 47 atm; 50 fun; 18 num; 23 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 6 usr; 7 con; 0-2 aty)
% Number of variables : 23 ( 19 !; 4 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: $int ).
tff(func_def_6,type,
sF2: $int ).
tff(func_def_7,type,
sF3: $int ).
tff(func_def_8,type,
sF4: $int ).
tff(func_def_9,type,
sF5: $int ).
tff(f355,plain,
$false,
inference(avatar_sat_refutation,[],[f65,f253,f351]) ).
tff(f351,plain,
~ spl6_1,
inference(avatar_contradiction_clause,[],[f350]) ).
tff(f350,plain,
( $false
| ~ spl6_1 ),
inference(evaluation,[],[f349]) ).
tff(f349,plain,
( $less(0,0)
| ~ spl6_1 ),
inference(forward_demodulation,[],[f341,f274]) ).
tff(f274,plain,
( ( 0 = sF3 )
| ~ spl6_1 ),
inference(forward_demodulation,[],[f268,f30]) ).
tff(f30,plain,
0 = $sum(sK0,sF2),
inference(superposition,[],[f7,f20]) ).
tff(f20,plain,
$uminus(sK0) = sF2,
introduced(function_definition,[new_symbols(definition,[sF2])]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f268,plain,
( ( sF3 = $sum(sK0,sF2) )
| ~ spl6_1 ),
inference(superposition,[],[f21,f60]) ).
tff(f60,plain,
( ( sK0 = sK1 )
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f58]) ).
tff(f58,plain,
( spl6_1
<=> ( sK0 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
tff(f21,plain,
$sum(sK1,sF2) = sF3,
introduced(function_definition,[new_symbols(definition,[sF3])]) ).
tff(f341,plain,
( $less(sF3,0)
| ~ spl6_1 ),
inference(superposition,[],[f24,f318]) ).
tff(f318,plain,
( ( 0 = sF5 )
| ~ spl6_1 ),
inference(forward_demodulation,[],[f312,f30]) ).
tff(f312,plain,
( ( sF5 = $sum(sK0,sF2) )
| ~ spl6_1 ),
inference(superposition,[],[f23,f275]) ).
tff(f275,plain,
( ( sF2 = sF4 )
| ~ spl6_1 ),
inference(forward_demodulation,[],[f269,f20]) ).
tff(f269,plain,
( ( $uminus(sK0) = sF4 )
| ~ spl6_1 ),
inference(superposition,[],[f22,f60]) ).
tff(f22,plain,
$uminus(sK1) = sF4,
introduced(function_definition,[new_symbols(definition,[sF4])]) ).
tff(f23,plain,
$sum(sK0,sF4) = sF5,
introduced(function_definition,[new_symbols(definition,[sF5])]) ).
tff(f24,plain,
$less(sF3,sF5),
inference(definition_folding,[],[f18,f23,f22,f21,f20]) ).
tff(f18,plain,
$less($sum(sK1,$uminus(sK0)),$sum(sK0,$uminus(sK1))),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ~ $less(sK1,sK0)
& $less($sum(sK1,$uminus(sK0)),$sum(sK0,$uminus(sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int,X1: $int] :
( ~ $less(X1,X0)
& $less($sum(X1,$uminus(X0)),$sum(X0,$uminus(X1))) )
=> ( ~ $less(sK1,sK0)
& $less($sum(sK1,$uminus(sK0)),$sum(sK0,$uminus(sK1))) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int,X1: $int] :
( ~ $less(X1,X0)
& $less($sum(X1,$uminus(X0)),$sum(X0,$uminus(X1))) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int] :
( $less($sum(X1,$uminus(X0)),$sum(X0,$uminus(X1)))
=> $less(X1,X0) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int] :
( $less($sum(X1,$uminus(X0)),$sum(X0,$uminus(X1)))
=> $less(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',impl_ineq) ).
tff(f253,plain,
~ spl6_2,
inference(avatar_contradiction_clause,[],[f252]) ).
tff(f252,plain,
( $false
| ~ spl6_2 ),
inference(evaluation,[],[f250]) ).
tff(f250,plain,
( $less(0,0)
| ~ spl6_2 ),
inference(resolution,[],[f248,f192]) ).
tff(f192,plain,
( ! [X0: $int] :
( ~ $less(X0,sF5)
| $less(X0,0) )
| ~ spl6_2 ),
inference(resolution,[],[f191,f9]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f191,plain,
( $less(sF5,0)
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f190,f64]) ).
tff(f64,plain,
( $less(sK0,sK1)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f62]) ).
tff(f62,plain,
( spl6_2
<=> $less(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
tff(f190,plain,
( ~ $less(sK0,sK1)
| $less(sF5,0) ),
inference(forward_demodulation,[],[f186,f26]) ).
tff(f26,plain,
sK1 = $uminus(sF4),
inference(superposition,[],[f13,f22]) ).
tff(f13,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f186,plain,
( $less(sF5,0)
| ~ $less(sK0,$uminus(sF4)) ),
inference(superposition,[],[f120,f29]) ).
tff(f29,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f7,f13]) ).
tff(f120,plain,
! [X0: $int] :
( $less(sF5,$sum(X0,sF4))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f11,f23]) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
tff(f248,plain,
( $less(0,sF5)
| ~ spl6_2 ),
inference(resolution,[],[f245,f42]) ).
tff(f42,plain,
! [X0: $int] :
( ~ $less(X0,sF3)
| $less(X0,sF5) ),
inference(resolution,[],[f9,f24]) ).
tff(f245,plain,
( $less(0,sF3)
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f244,f64]) ).
tff(f244,plain,
( ~ $less(sK0,sK1)
| $less(0,sF3) ),
inference(forward_demodulation,[],[f240,f25]) ).
tff(f25,plain,
sK0 = $uminus(sF2),
inference(superposition,[],[f13,f20]) ).
tff(f240,plain,
( $less(0,sF3)
| ~ $less($uminus(sF2),sK1) ),
inference(superposition,[],[f133,f29]) ).
tff(f133,plain,
! [X0: $int] :
( $less($sum(X0,sF2),sF3)
| ~ $less(X0,sK1) ),
inference(superposition,[],[f11,f21]) ).
tff(f65,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f52,f62,f58]) ).
tff(f52,plain,
( $less(sK0,sK1)
| ( sK0 = sK1 ) ),
inference(resolution,[],[f10,f19]) ).
tff(f19,plain,
~ $less(sK1,sK0),
inference(cnf_transformation,[],[f17]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : ARI572_1 : TPTP v8.2.0. Released v5.1.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 12:51:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TF0_THM_NEQ_ARI problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.93 % (11646)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2994ds/34Mi)
% 0.76/0.93 % (11642)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2994ds/34Mi)
% 0.76/0.93 % (11645)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.76/0.93 % (11643)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2994ds/51Mi)
% 0.76/0.93 % (11644)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.76/0.93 % (11647)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.76/0.93 % (11648)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2994ds/83Mi)
% 0.76/0.93 % (11649)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.78/0.95 % (11645)Instruction limit reached!
% 0.78/0.95 % (11645)------------------------------
% 0.78/0.95 % (11645)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.95 % (11645)Termination reason: Unknown
% 0.78/0.95 % (11645)Termination phase: Saturation
% 0.78/0.95
% 0.78/0.95 % (11645)Memory used [KB]: 1178
% 0.78/0.95 % (11645)Time elapsed: 0.018 s
% 0.78/0.95 % (11645)Instructions burned: 35 (million)
% 0.78/0.95 % (11645)------------------------------
% 0.78/0.95 % (11645)------------------------------
% 0.78/0.95 % (11642)Instruction limit reached!
% 0.78/0.95 % (11642)------------------------------
% 0.78/0.95 % (11642)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.95 % (11642)Termination reason: Unknown
% 0.78/0.95 % (11642)Termination phase: Saturation
% 0.78/0.95
% 0.78/0.95 % (11642)Memory used [KB]: 1119
% 0.78/0.95 % (11642)Time elapsed: 0.020 s
% 0.78/0.95 % (11642)Instructions burned: 35 (million)
% 0.78/0.95 % (11642)------------------------------
% 0.78/0.95 % (11642)------------------------------
% 0.78/0.95 % (11646)Instruction limit reached!
% 0.78/0.95 % (11646)------------------------------
% 0.78/0.95 % (11646)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.95 % (11646)Termination reason: Unknown
% 0.78/0.95 % (11646)Termination phase: Saturation
% 0.78/0.95 % (11647)Instruction limit reached!
% 0.78/0.95 % (11647)------------------------------
% 0.78/0.95 % (11647)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.95 % (11647)Termination reason: Unknown
% 0.78/0.95 % (11647)Termination phase: Saturation
% 0.78/0.95
% 0.78/0.95 % (11647)Memory used [KB]: 1136
% 0.78/0.95 % (11647)Time elapsed: 0.020 s
% 0.78/0.95 % (11647)Instructions burned: 45 (million)
% 0.78/0.95 % (11647)------------------------------
% 0.78/0.95 % (11647)------------------------------
% 0.78/0.95
% 0.78/0.95 % (11646)Memory used [KB]: 1186
% 0.78/0.95 % (11646)Time elapsed: 0.020 s
% 0.78/0.95 % (11646)Instructions burned: 35 (million)
% 0.78/0.95 % (11646)------------------------------
% 0.78/0.95 % (11646)------------------------------
% 0.78/0.95 % (11650)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2994ds/55Mi)
% 0.78/0.95 % (11651)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2994ds/50Mi)
% 0.78/0.95 % (11652)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.78/0.95 % (11653)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2994ds/52Mi)
% 0.78/0.96 % (11649)Instruction limit reached!
% 0.78/0.96 % (11649)------------------------------
% 0.78/0.96 % (11649)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.96 % (11649)Termination reason: Unknown
% 0.78/0.96 % (11649)Termination phase: Saturation
% 0.78/0.96
% 0.78/0.96 % (11649)Memory used [KB]: 1146
% 0.78/0.96 % (11649)Time elapsed: 0.028 s
% 0.78/0.96 % (11649)Instructions burned: 57 (million)
% 0.78/0.96 % (11649)------------------------------
% 0.78/0.96 % (11649)------------------------------
% 0.78/0.96 % (11643)Instruction limit reached!
% 0.78/0.96 % (11643)------------------------------
% 0.78/0.96 % (11643)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.96 % (11643)Termination reason: Unknown
% 0.78/0.96 % (11643)Termination phase: Saturation
% 0.78/0.96
% 0.78/0.96 % (11643)Memory used [KB]: 1472
% 0.78/0.96 % (11643)Time elapsed: 0.032 s
% 0.78/0.96 % (11643)Instructions burned: 52 (million)
% 0.78/0.96 % (11643)------------------------------
% 0.78/0.96 % (11643)------------------------------
% 0.78/0.96 % (11652)First to succeed.
% 0.78/0.96 % (11654)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2994ds/518Mi)
% 0.78/0.96 % (11652)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11641"
% 0.78/0.96 % (11652)Refutation found. Thanks to Tanya!
% 0.78/0.96 % SZS status Theorem for theBenchmark
% 0.78/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 0.78/0.96 % (11652)------------------------------
% 0.78/0.96 % (11652)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.96 % (11652)Termination reason: Refutation
% 0.78/0.96
% 0.78/0.96 % (11652)Memory used [KB]: 1103
% 0.78/0.96 % (11652)Time elapsed: 0.011 s
% 0.78/0.96 % (11652)Instructions burned: 17 (million)
% 0.78/0.96 % (11641)Success in time 0.584 s
% 0.78/0.96 % Vampire---4.8 exiting
%------------------------------------------------------------------------------