TSTP Solution File: ARI601_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI601_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 : n024.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 18:48:11 EDT 2024
% Result : Theorem 0.55s 0.74s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 11 unt; 2 typ; 0 def)
% Number of atoms : 33 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 13 ~; 4 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 92 ( 31 atm; 15 fun; 31 num; 15 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 ( 2 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(func_def_1,type,
f: $int > $int ).
tff(f182,plain,
$false,
inference(subsumption_resolution,[],[f176,f45]) ).
tff(f45,plain,
$less(4,$sum(1,a)),
inference(forward_demodulation,[],[f41,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f41,plain,
$less(4,$sum(a,1)),
inference(unit_resulting_resolution,[],[f27,f13]) ).
tff(f13,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f27,plain,
~ $less(a,4),
inference(evaluation,[],[f22]) ).
tff(f22,plain,
~ $less(a,$sum(3,1)),
inference(unit_resulting_resolution,[],[f19,f15]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
tff(f19,plain,
$less(3,a),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ~ $less(4,f($sum(a,1)))
& $less(3,a)
& ! [X0: $int] : $less(X0,f(X0)) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
( ~ $less(4,f($sum(a,1)))
& $less(3,a)
& ! [X0: $int] : $less(X0,f(X0)) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ! [X0: $int] : $less(X0,f(X0))
=> ( $less(3,a)
=> $less(4,f($sum(a,1))) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int] : $greater(f(X0),X0)
=> ( $less(3,a)
=> $less(4,f($sum(a,1))) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X0: $int] : $greater(f(X0),X0)
=> ( $less(3,a)
=> $less(4,f($sum(a,1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fX_gt_X_implies_ineq) ).
tff(f176,plain,
~ $less(4,$sum(1,a)),
inference(unit_resulting_resolution,[],[f18,f21,f10]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f21,plain,
~ $less(4,f($sum(1,a))),
inference(forward_demodulation,[],[f20,f4]) ).
tff(f20,plain,
~ $less(4,f($sum(a,1))),
inference(cnf_transformation,[],[f17]) ).
tff(f18,plain,
! [X0: $int] : $less(X0,f(X0)),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : ARI601_1 : TPTP v8.2.0. Released v5.1.0.
% 0.12/0.13 % 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
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 13:29:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TF0_THM_NEQ_ARI problem
% 0.13/0.34 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
% 0.55/0.74 % (16768)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 (2996ds/83Mi)
% 0.55/0.74 % (16762)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 (2996ds/34Mi)
% 0.55/0.74 % (16764)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.74 % (16765)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.74 % (16766)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 (2996ds/34Mi)
% 0.55/0.74 % (16763)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 (2996ds/51Mi)
% 0.55/0.74 % (16767)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.74 % (16769)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 (2996ds/56Mi)
% 0.55/0.74 % (16768)First to succeed.
% 0.55/0.74 % (16765)Also succeeded, but the first one will report.
% 0.55/0.74 % (16768)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16596"
% 0.55/0.74 % (16768)Refutation found. Thanks to Tanya!
% 0.55/0.74 % SZS status Theorem for theBenchmark
% 0.55/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.74 % (16768)------------------------------
% 0.55/0.74 % (16768)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (16768)Termination reason: Refutation
% 0.55/0.74
% 0.55/0.74 % (16768)Memory used [KB]: 1062
% 0.55/0.74 % (16768)Time elapsed: 0.004 s
% 0.55/0.74 % (16768)Instructions burned: 7 (million)
% 0.55/0.74 % (16596)Success in time 0.393 s
% 0.55/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------