TSTP Solution File: ARI632_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI632_1 : TPTP v8.2.0. Released v6.3.0.
% 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 : n020.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 18:48:23 EDT 2024
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 40 ( 16 unt; 5 typ; 0 def)
% Number of atoms : 56 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 24 ~; 17 |; 0 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 79 ( 34 atm; 24 fun; 0 num; 21 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
x: $real ).
tff(func_def_1,type,
y: $real ).
tff(func_def_2,type,
u: $real ).
tff(func_def_3,type,
v: $real ).
tff(func_def_4,type,
f: $real > $real ).
tff(f1963,plain,
$false,
inference(avatar_sat_refutation,[],[f61,f107,f1933]) ).
tff(f1933,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f1932]) ).
tff(f1932,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1931,f23]) ).
tff(f23,plain,
~ $less($sum(u,f(x)),$sum(v,f(y))),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
~ $less($sum(u,f(x)),$sum(v,f(y))),
inference(flattening,[],[f5]) ).
tff(f5,negated_conjecture,
~ $less($sum(u,f(x)),$sum(v,f(y))),
inference(negated_conjecture,[],[f4]) ).
tff(f4,conjecture,
$less($sum(u,f(x)),$sum(v,f(y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion) ).
tff(f1931,plain,
( $less($sum(u,f(x)),$sum(v,f(y)))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1917,f8]) ).
tff(f8,plain,
! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f1917,plain,
( $less($sum(u,f(x)),$sum(f(y),v))
| ~ spl0_4 ),
inference(unit_resulting_resolution,[],[f134,f121,f14]) ).
tff(f14,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f121,plain,
( ! [X0: $real] : $less($sum(f(x),X0),$sum(f(y),X0))
| ~ spl0_4 ),
inference(unit_resulting_resolution,[],[f59,f16]) ).
tff(f16,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
tff(f59,plain,
( $less(f(x),f(y))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f57]) ).
tff(f57,plain,
( spl0_4
<=> $less(f(x),f(y)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f134,plain,
! [X0: $real] : $less($sum(u,X0),$sum(X0,v)),
inference(superposition,[],[f25,f8]) ).
tff(f25,plain,
! [X0: $real] : $less($sum(u,X0),$sum(v,X0)),
inference(unit_resulting_resolution,[],[f21,f16]) ).
tff(f21,plain,
$less(u,v),
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
$less(u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis) ).
tff(f107,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f106]) ).
tff(f106,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f90,f25]) ).
tff(f90,plain,
( ~ $less($sum(u,f(x)),$sum(v,f(x)))
| ~ spl0_3 ),
inference(superposition,[],[f23,f55]) ).
tff(f55,plain,
( ( f(x) = f(y) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f53]) ).
tff(f53,plain,
( spl0_3
<=> ( f(x) = f(y) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f61,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f51,f57,f53]) ).
tff(f51,plain,
( $less(f(x),f(y))
| ( f(x) = f(y) ) ),
inference(resolution,[],[f29,f15]) ).
tff(f15,plain,
! [X0: $real,X1: $real] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f29,plain,
~ $less(f(y),f(x)),
inference(unit_resulting_resolution,[],[f22,f24]) ).
tff(f24,plain,
! [X0: $real,X1: $real] :
( ~ $less(f(X0),f(X1))
| $less(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
! [X0: $real,X1: $real] :
( ~ $less(f(X0),f(X1))
| $less(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
tff(f6,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,X1)
=> ~ $less(f(X0),f(X1)) ),
inference(theory_normalization,[],[f1]) ).
tff(f1,axiom,
! [X0: $real,X1: $real] :
( $greatereq(X0,X1)
=> $greatereq(f(X0),f(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_non_decreasing) ).
tff(f22,plain,
~ $less(y,x),
inference(cnf_transformation,[],[f7]) ).
tff(f7,plain,
~ $less(y,x),
inference(theory_normalization,[],[f3]) ).
tff(f3,axiom,
$lesseq(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_01) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI632_1 : TPTP v8.2.0. Released v6.3.0.
% 0.11/0.13 % 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 : n020.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 13:05:53 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
% 0.57/0.72 % (5503)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)
% 0.57/0.72 % (5505)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.72 % (5504)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)
% 0.57/0.72 % (5506)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)
% 0.57/0.72 % (5509)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)
% 0.57/0.72 % (5508)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)
% 0.57/0.73 % (5507)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)
% 0.57/0.73 % (5510)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)
% 0.57/0.74 % (5503)Instruction limit reached!
% 0.57/0.74 % (5503)------------------------------
% 0.57/0.74 % (5503)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (5503)Termination reason: Unknown
% 0.57/0.74 % (5503)Termination phase: Saturation
% 0.57/0.74
% 0.57/0.74 % (5503)Memory used [KB]: 1120
% 0.57/0.74 % (5503)Time elapsed: 0.020 s
% 0.57/0.74 % (5503)Instructions burned: 35 (million)
% 0.57/0.74 % (5503)------------------------------
% 0.57/0.74 % (5503)------------------------------
% 0.57/0.74 % (5508)Instruction limit reached!
% 0.57/0.74 % (5508)------------------------------
% 0.57/0.74 % (5508)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (5508)Termination reason: Unknown
% 0.57/0.74 % (5508)Termination phase: Saturation
% 0.57/0.74
% 0.57/0.74 % (5508)Memory used [KB]: 1131
% 0.57/0.74 % (5508)Time elapsed: 0.023 s
% 0.57/0.74 % (5508)Instructions burned: 48 (million)
% 0.57/0.74 % (5508)------------------------------
% 0.57/0.74 % (5508)------------------------------
% 0.57/0.74 % (5511)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 theBenchmark for (2996ds/55Mi)
% 0.57/0.75 % (5506)Instruction limit reached!
% 0.57/0.75 % (5506)------------------------------
% 0.57/0.75 % (5506)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (5506)Termination reason: Unknown
% 0.57/0.75 % (5506)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (5506)Memory used [KB]: 1328
% 0.57/0.75 % (5506)Time elapsed: 0.020 s
% 0.57/0.75 % (5506)Instructions burned: 33 (million)
% 0.57/0.75 % (5506)------------------------------
% 0.57/0.75 % (5506)------------------------------
% 0.57/0.75 % (5512)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 theBenchmark for (2996ds/50Mi)
% 0.57/0.75 % (5513)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.57/0.76 % (5509)First to succeed.
% 0.57/0.76 % (5509)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5501"
% 0.57/0.76 % (5509)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Theorem for theBenchmark
% 0.57/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.76 % (5509)------------------------------
% 0.57/0.76 % (5509)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (5509)Termination reason: Refutation
% 0.57/0.76
% 0.57/0.76 % (5509)Memory used [KB]: 1530
% 0.57/0.76 % (5509)Time elapsed: 0.038 s
% 0.57/0.76 % (5509)Instructions burned: 71 (million)
% 0.57/0.76 % (5501)Success in time 0.41 s
% 0.57/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------