TSTP Solution File: ARI610_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI610_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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n021.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 18:48:13 EDT 2024
% Result : Theorem 0.62s 0.81s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 9 unt; 3 typ; 0 def)
% Number of atoms : 36 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 30 ( 11 ~; 6 |; 7 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 87 ( 34 atm; 22 fun; 11 num; 20 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(func_def_1,type,
a: $int ).
tff(func_def_2,type,
b: $int ).
tff(f89,plain,
$false,
inference(evaluation,[],[f88]) ).
tff(f88,plain,
$less(0,0),
inference(forward_demodulation,[],[f73,f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f73,plain,
$less($sum(b,$uminus(b)),0),
inference(unit_resulting_resolution,[],[f56,f33,f10]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f33,plain,
! [X0: $int] : $less($sum(b,X0),$sum(a,X0)),
inference(unit_resulting_resolution,[],[f29,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(f29,plain,
$less(b,a),
inference(unit_resulting_resolution,[],[f19,f18]) ).
tff(f18,plain,
! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( $less(f($sum(a,$uminus(b))),f(0))
& $less(f(b),f(a))
& ! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
( $less(f($sum(a,$uminus(b))),f(0))
& $less(f(b),f(a))
& ! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ( $less(f(b),f(a))
& ! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
=> ~ $less(f(X1),f(X0)) ) )
=> ~ $less(f($sum(a,$uminus(b))),f(0)) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( $less(f(b),f(a))
& ! [X0: $int,X1: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) ) )
=> $lesseq(f(0),f($sum(a,$uminus(b)))) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( $less(f(b),f(a))
& ! [X0: $int,X1: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) ) )
=> $lesseq(f(0),f($sum(a,$uminus(b)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_mon_implies_f_a_b_2) ).
tff(f19,plain,
$less(f(b),f(a)),
inference(cnf_transformation,[],[f17]) ).
tff(f56,plain,
$less($sum(a,$uminus(b)),0),
inference(unit_resulting_resolution,[],[f20,f18]) ).
tff(f20,plain,
$less(f($sum(a,$uminus(b))),f(0)),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI610_1 : TPTP v8.2.0. Released v5.1.0.
% 0.14/0.14 % 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
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 12:59:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TF0_THM_NEQ_ARI problem
% 0.22/0.36 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/benchmark/theBenchmark.p
% 0.62/0.80 % (4846)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 (2995ds/56Mi)
% 0.62/0.80 % (4839)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 (2995ds/34Mi)
% 0.62/0.80 % (4841)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.62/0.80 % (4842)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.62/0.80 % (4843)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 (2995ds/34Mi)
% 0.62/0.80 % (4840)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 (2995ds/51Mi)
% 0.62/0.80 % (4844)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.62/0.80 % (4845)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 (2995ds/83Mi)
% 0.62/0.80 % (4845)First to succeed.
% 0.62/0.80 % (4842)Also succeeded, but the first one will report.
% 0.62/0.80 % (4845)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4752"
% 0.62/0.81 % (4845)Refutation found. Thanks to Tanya!
% 0.62/0.81 % SZS status Theorem for theBenchmark
% 0.62/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.81 % (4845)------------------------------
% 0.62/0.81 % (4845)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (4845)Termination reason: Refutation
% 0.62/0.81
% 0.62/0.81 % (4845)Memory used [KB]: 1048
% 0.62/0.81 % (4845)Time elapsed: 0.005 s
% 0.62/0.81 % (4845)Instructions burned: 5 (million)
% 0.62/0.81 % (4752)Success in time 0.432 s
% 0.62/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------