TSTP Solution File: NUM921_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM921_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : 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 : Wed May 1 03:35:13 EDT 2024
% Result : Theorem 0.65s 0.81s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 7 unt; 2 typ; 0 def)
% Number of atoms : 47 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 17 ~; 15 |; 1 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 93 ( 25 atm; 30 fun; 18 num; 20 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 19 !; 1 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(func_def_6,type,
sK0: $int ).
tff(f185,plain,
$false,
inference(avatar_sat_refutation,[],[f37,f172,f184]) ).
tff(f184,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f183]) ).
tff(f183,plain,
( $false
| ~ spl1_1 ),
inference(evaluation,[],[f182]) ).
tff(f182,plain,
( $less(0,0)
| ~ spl1_1 ),
inference(forward_demodulation,[],[f177,f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f177,plain,
( $less(0,$sum(f(sK0),$uminus(f(sK0))))
| ~ spl1_1 ),
inference(superposition,[],[f19,f31]) ).
tff(f31,plain,
( ( 0 = $sum(sK0,$uminus(f(sK0))) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f29]) ).
tff(f29,plain,
( spl1_1
<=> ( 0 = $sum(sK0,$uminus(f(sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f19,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(f(X0),X1)),
inference(unit_resulting_resolution,[],[f17,f12]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
tff(f17,plain,
! [X0: $int] : $less(X0,f(X0)),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ? [X1: $int] : ~ $less($sum(X1,$uminus(f(X1))),0)
& ! [X0: $int] : $less(X0,f(X0)) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ! [X0: $int] : $less(X0,f(X0))
=> ! [X1: $int] : $less($sum(X1,$uminus(f(X1))),0) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int] : $greater(f(X0),X0)
=> ! [X1: $int] : $less($difference(X1,f(X1)),0) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X0: $int] : $greater(f(X0),X0)
=> ! [X1: $int] : $less($difference(X1,f(X1)),0) ),
file('/export/starexec/sandbox2/tmp/tmp.ypwNpOWYZD/Vampire---4.8_3286',co1) ).
tff(f172,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f171]) ).
tff(f171,plain,
( $false
| ~ spl1_2 ),
inference(evaluation,[],[f170]) ).
tff(f170,plain,
( $less(0,0)
| ~ spl1_2 ),
inference(forward_demodulation,[],[f150,f8]) ).
tff(f150,plain,
( $less(0,$sum(f(sK0),$uminus(f(sK0))))
| ~ spl1_2 ),
inference(unit_resulting_resolution,[],[f35,f19,f10]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f35,plain,
( $less(0,$sum(sK0,$uminus(f(sK0))))
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f33]) ).
tff(f33,plain,
( spl1_2
<=> $less(0,$sum(sK0,$uminus(f(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f37,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f27,f33,f29]) ).
tff(f27,plain,
( $less(0,$sum(sK0,$uminus(f(sK0))))
| ( 0 = $sum(sK0,$uminus(f(sK0))) ) ),
inference(resolution,[],[f18,f11]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f18,plain,
~ $less($sum(sK0,$uminus(f(sK0))),0),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM921_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14 % 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
% 0.16/0.35 % Computer : n016.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Tue Apr 30 17:34:56 EDT 2024
% 0.16/0.35 % CPUTime :
% 0.16/0.35 This is a TF0_THM_NEQ_ARI problem
% 0.16/0.36 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.ypwNpOWYZD/Vampire---4.8_3286
% 0.62/0.80 % (3489)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)
% 0.62/0.80 % (3491)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80 % (3490)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)
% 0.62/0.80 % (3492)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)
% 0.62/0.80 % (3493)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)
% 0.62/0.80 % (3494)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)
% 0.62/0.80 % (3495)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)
% 0.62/0.80 % (3496)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)
% 0.62/0.81 % (3495)First to succeed.
% 0.65/0.81 % (3495)Refutation found. Thanks to Tanya!
% 0.65/0.81 % SZS status Theorem for Vampire---4
% 0.65/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.81 % (3495)------------------------------
% 0.65/0.81 % (3495)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.81 % (3495)Termination reason: Refutation
% 0.65/0.81
% 0.65/0.81 % (3495)Memory used [KB]: 1065
% 0.65/0.81 % (3495)Time elapsed: 0.008 s
% 0.65/0.81 % (3495)Instructions burned: 9 (million)
% 0.65/0.81 % (3495)------------------------------
% 0.65/0.81 % (3495)------------------------------
% 0.65/0.81 % (3442)Success in time 0.444 s
% 0.65/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------