TSTP Solution File: ARI609_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI609_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 : n025.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 02:09:31 EDT 2024
% Result : Theorem 0.55s 0.77s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 13 unt; 3 typ; 0 def)
% Number of atoms : 37 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 13 ~; 4 |; 7 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number arithmetic : 122 ( 34 atm; 49 fun; 16 num; 23 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 : 23 ( 23 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(func_def_1,type,
a: $int ).
tff(func_def_2,type,
b: $int ).
tff(f358,plain,
$false,
inference(subsumption_resolution,[],[f346,f19]) ).
tff(f19,plain,
~ $less($sum(a,$uminus(b)),0),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( $less($sum(f(a),$uminus(f(b))),0)
& ~ $less($sum(a,$uminus(b)),0)
& ! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
( $less($sum(f(a),$uminus(f(b))),0)
& ~ $less($sum(a,$uminus(b)),0)
& ! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ( ~ $less($sum(a,$uminus(b)),0)
& ! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
=> ~ $less(f(X1),f(X0)) ) )
=> ~ $less($sum(f(a),$uminus(f(b))),0) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( $lesseq(0,$sum(a,$uminus(b)))
& ! [X0: $int,X1: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) ) )
=> $lesseq(0,$sum(f(a),$uminus(f(b)))) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( $lesseq(0,$sum(a,$uminus(b)))
& ! [X0: $int,X1: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) ) )
=> $lesseq(0,$sum(f(a),$uminus(f(b)))) ),
file('/export/starexec/sandbox/tmp/tmp.IOIYxJrs0D/Vampire---4.8_24893',f_mon_implies_f_a_b_1) ).
tff(f346,plain,
$less($sum(a,$uminus(b)),0),
inference(superposition,[],[f285,f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f285,plain,
! [X0: $int] : $less($sum(a,X0),$sum(b,X0)),
inference(unit_resulting_resolution,[],[f277,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(f277,plain,
$less(a,b),
inference(unit_resulting_resolution,[],[f256,f18]) ).
tff(f18,plain,
! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ),
inference(cnf_transformation,[],[f17]) ).
tff(f256,plain,
$less(f(a),f(b)),
inference(evaluation,[],[f253]) ).
tff(f253,plain,
$less($sum(f(a),0),$uminus($uminus(f(b)))),
inference(superposition,[],[f50,f8]) ).
tff(f50,plain,
! [X0: $int] : $less($sum(f(a),$sum($uminus(f(b)),X0)),X0),
inference(forward_demodulation,[],[f49,f5]) ).
tff(f5,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f49,plain,
! [X0: $int] : $less($sum($sum(f(a),$uminus(f(b))),X0),X0),
inference(evaluation,[],[f43]) ).
tff(f43,plain,
! [X0: $int] : $less($sum($sum(f(a),$uminus(f(b))),X0),$sum(0,X0)),
inference(unit_resulting_resolution,[],[f20,f12]) ).
tff(f20,plain,
$less($sum(f(a),$uminus(f(b))),0),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI609_1 : TPTP v8.1.2. Released v5.1.0.
% 0.07/0.15 % 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
% 0.13/0.36 % Computer : n025.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Apr 30 19:05:11 EDT 2024
% 0.13/0.37 % CPUTime :
% 0.13/0.37 This is a TF0_THM_NEQ_ARI problem
% 0.13/0.37 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.IOIYxJrs0D/Vampire---4.8_24893
% 0.55/0.76 % (25001)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)
% 0.55/0.76 % (25003)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.76 % (25004)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)
% 0.55/0.76 % (25005)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)
% 0.55/0.76 % (25006)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)
% 0.55/0.76 % (25007)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)
% 0.55/0.76 % (25002)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)
% 0.55/0.77 % (25007)First to succeed.
% 0.55/0.77 % (25001)Instruction limit reached!
% 0.55/0.77 % (25001)------------------------------
% 0.55/0.77 % (25001)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.77 % (25001)Termination reason: Unknown
% 0.55/0.77 % (25001)Termination phase: Saturation
% 0.55/0.77
% 0.55/0.77 % (25001)Memory used [KB]: 1149
% 0.55/0.77 % (25001)Time elapsed: 0.011 s
% 0.55/0.77 % (25001)Instructions burned: 34 (million)
% 0.55/0.77 % (25001)------------------------------
% 0.55/0.77 % (25001)------------------------------
% 0.55/0.77 % (25007)Refutation found. Thanks to Tanya!
% 0.55/0.77 % SZS status Theorem for Vampire---4
% 0.55/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.77 % (25007)------------------------------
% 0.55/0.77 % (25007)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.77 % (25007)Termination reason: Refutation
% 0.55/0.77
% 0.55/0.77 % (25007)Memory used [KB]: 1092
% 0.55/0.77 % (25007)Time elapsed: 0.011 s
% 0.55/0.77 % (25007)Instructions burned: 16 (million)
% 0.55/0.77 % (25007)------------------------------
% 0.55/0.77 % (25007)------------------------------
% 0.55/0.77 % (25000)Success in time 0.396 s
% 0.55/0.77 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.55/0.77 25000 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.IOIYxJrs0D/Vampire---4.8_24893
% 0.55/0.77 % (25000)------------------------------
% 0.55/0.77 % (25000)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.77 % (25000)Termination reason: Unknown
% 0.55/0.77 % (25000)Termination phase: Unknown
% 0.55/0.77
% 0.55/0.77 % (25000)Memory used [KB]: 438
% 0.55/0.77 % (25000)Time elapsed: 0.397 s
% 0.55/0.77 % (25000)Instructions burned: 952 (million)
% 0.55/0.77 % (25000)------------------------------
% 0.55/0.77 % (25000)------------------------------
% 0.55/0.77 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
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% 0.55/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------