TSTP Solution File: ARI734_1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI734_1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n013.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 02:10:15 EDT 2024
% Result : Theorem 0.69s 0.87s
% Output : Refutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 124 ( 93 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 160 ( 72 ~; 51 |; 24 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 286 ( 7 atm; 104 fun; 129 num; 46 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 46 ( 35 !; 11 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(f1012,plain,
$false,
inference(avatar_sat_refutation,[],[f58,f59,f130,f1007]) ).
tff(f1007,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f1006]) ).
tff(f1006,plain,
( $false
| spl1_2 ),
inference(evaluation,[],[f1001]) ).
tff(f1001,plain,
( ( $product(2,sK0) != $product(2,$sum(1,$sum(-1,sK0))) )
| spl1_2 ),
inference(superposition,[],[f64,f301]) ).
tff(f301,plain,
! [X0: $int,X1: $int] : ( $product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1)) ),
inference(superposition,[],[f19,f17]) ).
tff(f17,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f19,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(theory_axiom_150,[]) ).
tff(f64,plain,
( ( $product(2,sK0) != $sum(2,$product(2,$sum(-1,sK0))) )
| spl1_2 ),
inference(superposition,[],[f60,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f60,plain,
( ( $product(2,sK0) != $sum($product(2,$sum(-1,sK0)),2) )
| spl1_2 ),
inference(forward_demodulation,[],[f52,f4]) ).
tff(f52,plain,
( ( $product(2,sK0) != $sum($product(2,$sum(sK0,-1)),2) )
| spl1_2 ),
inference(avatar_component_clause,[],[f50]) ).
tff(f50,plain,
( spl1_2
<=> ( $product(2,sK0) = $sum($product(2,$sum(sK0,-1)),2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f130,plain,
( spl1_1
| ~ spl1_3 ),
inference(avatar_contradiction_clause,[],[f129]) ).
tff(f129,plain,
( $false
| spl1_1
| ~ spl1_3 ),
inference(evaluation,[],[f117]) ).
tff(f117,plain,
( ( 0 != $product(2,0) )
| spl1_1
| ~ spl1_3 ),
inference(backward_demodulation,[],[f48,f57]) ).
tff(f57,plain,
( ( 0 = sK0 )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f55]) ).
tff(f55,plain,
( spl1_3
<=> ( 0 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f48,plain,
( ( 0 != $product(2,sK0) )
| spl1_1 ),
inference(avatar_component_clause,[],[f46]) ).
tff(f46,plain,
( spl1_1
<=> ( 0 = $product(2,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f59,plain,
( ~ spl1_1
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f38,f55,f46]) ).
tff(f38,plain,
( ( 0 != sK0 )
| ( 0 != $product(2,sK0) ) ),
inference(equality_resolution,[],[f37]) ).
tff(f37,plain,
! [X3: $int] :
( ( 0 != sK0 )
| ( 0 != $product(2,sK0) )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(equality_resolution,[],[f36]) ).
tff(f36,plain,
! [X2: $int,X3: $int] :
( ( 0 != sK0 )
| ( 0 != $product(2,sK0) )
| ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(equality_resolution,[],[f27]) ).
tff(f27,plain,
! [X2: $int,X3: $int,X1: $int] :
( ( $product(2,sK0) != X1 )
| ( 0 != sK0 )
| ( 0 != X1 )
| ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
( ! [X1: $int] :
( ( $product(2,sK0) != X1 )
| ! [X2: $int] :
( ( ( $sum(X2,2) != X1 )
& ( 0 != sK0 ) )
| ( ( 0 != X1 )
& ( 0 = sK0 ) )
| ! [X3: $int] :
( ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ) ) )
& ~ $less(sK0,0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f22,f23]) ).
tff(f23,plain,
( ? [X0: $int] :
( ! [X1: $int] :
( ( $product(2,X0) != X1 )
| ! [X2: $int] :
( ( ( $sum(X2,2) != X1 )
& ( 0 != X0 ) )
| ( ( 0 != X1 )
& ( 0 = X0 ) )
| ! [X3: $int] :
( ( $product(2,X3) != X2 )
| ( $sum(X0,$uminus(1)) != X3 ) ) ) )
& ~ $less(X0,0) )
=> ( ! [X1: $int] :
( ( $product(2,sK0) != X1 )
| ! [X2: $int] :
( ( ( $sum(X2,2) != X1 )
& ( 0 != sK0 ) )
| ( ( 0 != X1 )
& ( 0 = sK0 ) )
| ! [X3: $int] :
( ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ) ) )
& ~ $less(sK0,0) ) ),
introduced(choice_axiom,[]) ).
tff(f22,plain,
? [X0: $int] :
( ! [X1: $int] :
( ( $product(2,X0) != X1 )
| ! [X2: $int] :
( ( ( $sum(X2,2) != X1 )
& ( 0 != X0 ) )
| ( ( 0 != X1 )
& ( 0 = X0 ) )
| ! [X3: $int] :
( ( $product(2,X3) != X2 )
| ( $sum(X0,$uminus(1)) != X3 ) ) ) )
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ? [X1: $int] :
( ( $product(2,X0) = X1 )
& ? [X2: $int] :
( ( ( 0 != X0 )
=> ( $sum(X2,2) = X1 ) )
& ( ( 0 = X0 )
=> ( 0 = X1 ) )
& ? [X3: $int] :
( ( $product(2,X3) = X2 )
& ( $sum(X0,$uminus(1)) = X3 ) ) ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( $greatereq(X0,0)
=> ? [X1: $int] :
( ( $product(2,X0) = X1 )
& ? [X2: $int] :
( ( ( 0 != X0 )
=> ( $sum(X2,2) = X1 ) )
& ( ( 0 = X0 )
=> ( 0 = X1 ) )
& ? [X3: $int] :
( ( $product(2,X3) = X2 )
& ( $difference(X0,1) = X3 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( $greatereq(X0,0)
=> ? [X1: $int] :
( ( $product(2,X0) = X1 )
& ? [X2: $int] :
( ( ( 0 != X0 )
=> ( $sum(X2,2) = X1 ) )
& ( ( 0 = X0 )
=> ( 0 = X1 ) )
& ? [X3: $int] :
( ( $product(2,X3) = X2 )
& ( $difference(X0,1) = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Hs3B55QuG6/Vampire---4.8_11432',formula) ).
tff(f58,plain,
( spl1_3
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f43,f50,f55]) ).
tff(f43,plain,
( ( $product(2,sK0) != $sum($product(2,$sum(sK0,-1)),2) )
| ( 0 = sK0 ) ),
inference(evaluation,[],[f35]) ).
tff(f35,plain,
( ( $product(2,sK0) != $sum($product(2,$sum(sK0,$uminus(1))),2) )
| ( 0 = sK0 ) ),
inference(equality_resolution,[],[f34]) ).
tff(f34,plain,
! [X3: $int] :
( ( $product(2,sK0) != $sum($product(2,X3),2) )
| ( 0 = sK0 )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(equality_resolution,[],[f33]) ).
tff(f33,plain,
! [X2: $int,X3: $int] :
( ( $sum(X2,2) != $product(2,sK0) )
| ( 0 = sK0 )
| ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(equality_resolution,[],[f28]) ).
tff(f28,plain,
! [X2: $int,X3: $int,X1: $int] :
( ( $product(2,sK0) != X1 )
| ( $sum(X2,2) != X1 )
| ( 0 = sK0 )
| ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ARI734_1 : TPTP v8.1.2. Released v6.4.0.
% 0.03/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n013.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 18:47:04 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a TF0_THM_EQU_ARI problem
% 0.16/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.Hs3B55QuG6/Vampire---4.8_11432
% 0.67/0.83 % (11640)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 (2995ds/34Mi)
% 0.67/0.83 % (11642)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.67/0.83 % (11641)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 (2995ds/51Mi)
% 0.67/0.83 % (11643)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.67/0.83 % (11644)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 (2995ds/34Mi)
% 0.67/0.83 % (11645)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.67/0.83 % (11646)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 (2995ds/83Mi)
% 0.67/0.83 % (11647)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 (2995ds/56Mi)
% 0.69/0.85 % (11640)Instruction limit reached!
% 0.69/0.85 % (11640)------------------------------
% 0.69/0.85 % (11640)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.85 % (11640)Termination reason: Unknown
% 0.69/0.85 % (11640)Termination phase: Saturation
% 0.69/0.85
% 0.69/0.85 % (11640)Memory used [KB]: 1167
% 0.69/0.85 % (11640)Time elapsed: 0.020 s
% 0.69/0.85 % (11640)Instructions burned: 35 (million)
% 0.69/0.85 % (11640)------------------------------
% 0.69/0.85 % (11640)------------------------------
% 0.69/0.85 % (11643)Instruction limit reached!
% 0.69/0.85 % (11643)------------------------------
% 0.69/0.85 % (11643)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.85 % (11643)Termination reason: Unknown
% 0.69/0.85 % (11643)Termination phase: Saturation
% 0.69/0.85
% 0.69/0.85 % (11643)Memory used [KB]: 1311
% 0.69/0.85 % (11643)Time elapsed: 0.020 s
% 0.69/0.85 % (11643)Instructions burned: 33 (million)
% 0.69/0.85 % (11643)------------------------------
% 0.69/0.85 % (11643)------------------------------
% 0.69/0.85 % (11644)Instruction limit reached!
% 0.69/0.85 % (11644)------------------------------
% 0.69/0.85 % (11644)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.85 % (11644)Termination reason: Unknown
% 0.69/0.85 % (11644)Termination phase: Saturation
% 0.69/0.85
% 0.69/0.85 % (11644)Memory used [KB]: 1195
% 0.69/0.85 % (11644)Time elapsed: 0.021 s
% 0.69/0.85 % (11644)Instructions burned: 34 (million)
% 0.69/0.85 % (11644)------------------------------
% 0.69/0.85 % (11644)------------------------------
% 0.69/0.85 % (11652)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 (2995ds/50Mi)
% 0.69/0.85 % (11651)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 (2995ds/55Mi)
% 0.69/0.85 % (11653)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 (2995ds/208Mi)
% 0.69/0.86 % (11645)Instruction limit reached!
% 0.69/0.86 % (11645)------------------------------
% 0.69/0.86 % (11645)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.86 % (11645)Termination reason: Unknown
% 0.69/0.86 % (11645)Termination phase: Saturation
% 0.69/0.86
% 0.69/0.86 % (11645)Memory used [KB]: 1222
% 0.69/0.86 % (11645)Time elapsed: 0.028 s
% 0.69/0.86 % (11645)Instructions burned: 46 (million)
% 0.69/0.86 % (11645)------------------------------
% 0.69/0.86 % (11645)------------------------------
% 0.69/0.86 % (11647)Instruction limit reached!
% 0.69/0.86 % (11647)------------------------------
% 0.69/0.86 % (11647)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.86 % (11647)Termination reason: Unknown
% 0.69/0.86 % (11647)Termination phase: Saturation
% 0.69/0.86
% 0.69/0.86 % (11647)Memory used [KB]: 1182
% 0.69/0.86 % (11647)Time elapsed: 0.030 s
% 0.69/0.86 % (11647)Instructions burned: 56 (million)
% 0.69/0.86 % (11647)------------------------------
% 0.69/0.86 % (11647)------------------------------
% 0.69/0.86 % (11641)Instruction limit reached!
% 0.69/0.86 % (11641)------------------------------
% 0.69/0.86 % (11641)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.86 % (11641)Termination reason: Unknown
% 0.69/0.86 % (11641)Termination phase: Saturation
% 0.69/0.86
% 0.69/0.86 % (11641)Memory used [KB]: 1511
% 0.69/0.86 % (11654)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 (2995ds/52Mi)
% 0.69/0.86 % (11641)Time elapsed: 0.032 s
% 0.69/0.86 % (11641)Instructions burned: 51 (million)
% 0.69/0.86 % (11641)------------------------------
% 0.69/0.86 % (11641)------------------------------
% 0.69/0.86 % (11655)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 (2995ds/518Mi)
% 0.69/0.86 % (11656)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 (2995ds/42Mi)
% 0.69/0.87 % (11642)First to succeed.
% 0.69/0.87 % (11642)Refutation found. Thanks to Tanya!
% 0.69/0.87 % SZS status Theorem for Vampire---4
% 0.69/0.87 % SZS output start Proof for Vampire---4
% See solution above
% 0.69/0.87 % (11642)------------------------------
% 0.69/0.87 % (11642)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.87 % (11642)Termination reason: Refutation
% 0.69/0.87
% 0.69/0.87 % (11642)Memory used [KB]: 1399
% 0.69/0.87 % (11642)Time elapsed: 0.039 s
% 0.69/0.87 % (11642)Instructions burned: 70 (million)
% 0.69/0.87 % (11642)------------------------------
% 0.69/0.87 % (11642)------------------------------
% 0.69/0.87 % (11599)Success in time 0.485 s
% 0.69/0.87 % Vampire---4.8 exiting
%------------------------------------------------------------------------------