TSTP Solution File: ARI572_1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI572_1 : TPTP v8.1.2. 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 : 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 : Wed May 1 02:09:19 EDT 2024
% Result : Theorem 0.59s 0.78s
% Output : Refutation 0.59s
% 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/tmp/tmp.f0xybTJLZg/Vampire---4.8_15639',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
% 0.03/0.13 % Problem : ARI572_1 : TPTP v8.1.2. Released v5.1.0.
% 0.03/0.15 % 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 : n006.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 : Tue Apr 30 18:44:20 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/tmp/tmp.f0xybTJLZg/Vampire---4.8_15639
% 0.58/0.74 % (15896)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 Vampire---4 for (2996ds/83Mi)
% 0.58/0.75 % (15890)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 Vampire---4 for (2996ds/34Mi)
% 0.58/0.75 % (15893)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.75 % (15892)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (15891)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 Vampire---4 for (2996ds/51Mi)
% 0.58/0.75 % (15894)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 Vampire---4 for (2996ds/34Mi)
% 0.58/0.75 % (15895)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75 % (15897)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.76 % (15893)Instruction limit reached!
% 0.59/0.76 % (15893)------------------------------
% 0.59/0.76 % (15893)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76 % (15893)Termination reason: Unknown
% 0.59/0.76 % (15893)Termination phase: Saturation
% 0.59/0.76
% 0.59/0.76 % (15893)Memory used [KB]: 1175
% 0.59/0.76 % (15893)Time elapsed: 0.018 s
% 0.59/0.76 % (15893)Instructions burned: 33 (million)
% 0.59/0.76 % (15893)------------------------------
% 0.59/0.76 % (15893)------------------------------
% 0.59/0.76 % (15890)Instruction limit reached!
% 0.59/0.76 % (15890)------------------------------
% 0.59/0.76 % (15890)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76 % (15890)Termination reason: Unknown
% 0.59/0.76 % (15890)Termination phase: Saturation
% 0.59/0.76
% 0.59/0.76 % (15890)Memory used [KB]: 1117
% 0.59/0.76 % (15890)Time elapsed: 0.020 s
% 0.59/0.76 % (15890)Instructions burned: 34 (million)
% 0.59/0.76 % (15890)------------------------------
% 0.59/0.76 % (15890)------------------------------
% 0.59/0.77 % (15894)Instruction limit reached!
% 0.59/0.77 % (15894)------------------------------
% 0.59/0.77 % (15894)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77 % (15894)Termination reason: Unknown
% 0.59/0.77 % (15894)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (15894)Memory used [KB]: 1184
% 0.59/0.77 % (15894)Time elapsed: 0.021 s
% 0.59/0.77 % (15894)Instructions burned: 34 (million)
% 0.59/0.77 % (15894)------------------------------
% 0.59/0.77 % (15894)------------------------------
% 0.59/0.77 % (15895)Instruction limit reached!
% 0.59/0.77 % (15895)------------------------------
% 0.59/0.77 % (15895)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77 % (15895)Termination reason: Unknown
% 0.59/0.77 % (15895)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (15895)Memory used [KB]: 1133
% 0.59/0.77 % (15895)Time elapsed: 0.021 s
% 0.59/0.77 % (15895)Instructions burned: 46 (million)
% 0.59/0.77 % (15895)------------------------------
% 0.59/0.77 % (15895)------------------------------
% 0.59/0.77 % (15898)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 Vampire---4 for (2996ds/55Mi)
% 0.59/0.77 % (15899)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 Vampire---4 for (2996ds/50Mi)
% 0.59/0.77 % (15900)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.59/0.77 % (15901)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 Vampire---4 for (2996ds/52Mi)
% 0.59/0.77 % (15896)Instruction limit reached!
% 0.59/0.77 % (15896)------------------------------
% 0.59/0.77 % (15896)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77 % (15896)Termination reason: Unknown
% 0.59/0.77 % (15896)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (15896)Memory used [KB]: 1557
% 0.59/0.77 % (15896)Time elapsed: 0.030 s
% 0.59/0.77 % (15896)Instructions burned: 85 (million)
% 0.59/0.77 % (15896)------------------------------
% 0.59/0.77 % (15896)------------------------------
% 0.59/0.77 % (15897)Instruction limit reached!
% 0.59/0.77 % (15897)------------------------------
% 0.59/0.77 % (15897)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77 % (15897)Termination reason: Unknown
% 0.59/0.77 % (15897)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (15897)Memory used [KB]: 1145
% 0.59/0.77 % (15897)Time elapsed: 0.031 s
% 0.59/0.77 % (15897)Instructions burned: 56 (million)
% 0.59/0.77 % (15897)------------------------------
% 0.59/0.77 % (15897)------------------------------
% 0.59/0.78 % (15902)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 Vampire---4 for (2996ds/518Mi)
% 0.59/0.78 % (15891)Instruction limit reached!
% 0.59/0.78 % (15891)------------------------------
% 0.59/0.78 % (15891)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78 % (15891)Termination reason: Unknown
% 0.59/0.78 % (15891)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (15891)Memory used [KB]: 1575
% 0.59/0.78 % (15891)Time elapsed: 0.032 s
% 0.59/0.78 % (15891)Instructions burned: 51 (million)
% 0.59/0.78 % (15891)------------------------------
% 0.59/0.78 % (15891)------------------------------
% 0.59/0.78 % (15903)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.59/0.78 % (15900)First to succeed.
% 0.59/0.78 % (15904)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.59/0.78 % (15900)Refutation found. Thanks to Tanya!
% 0.59/0.78 % SZS status Theorem for Vampire---4
% 0.59/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.78 % (15900)------------------------------
% 0.59/0.78 % (15900)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78 % (15900)Termination reason: Refutation
% 0.59/0.78
% 0.59/0.78 % (15900)Memory used [KB]: 1102
% 0.59/0.78 % (15900)Time elapsed: 0.013 s
% 0.59/0.78 % (15900)Instructions burned: 17 (million)
% 0.59/0.78 % (15900)------------------------------
% 0.59/0.78 % (15900)------------------------------
% 0.59/0.78 % (15886)Success in time 0.399 s
% 0.59/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------