TSTP Solution File: NUM913_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM913_1 : TPTP v8.2.0. 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 : n011.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 : Tue May 21 01:46:49 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 2 unt; 2 typ; 0 def)
% Number of atoms : 107 ( 21 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 117 ( 46 ~; 53 |; 10 &)
% ( 6 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 67 ( 47 atm; 0 fun; 0 num; 20 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 20 ( 12 !; 8 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $real ).
tff(func_def_5,type,
sK1: $real ).
tff(f72,plain,
$false,
inference(avatar_sat_refutation,[],[f31,f36,f37,f60,f64,f71]) ).
tff(f71,plain,
( ~ spl2_1
| ~ spl2_3 ),
inference(avatar_contradiction_clause,[],[f70]) ).
tff(f70,plain,
( $false
| ~ spl2_1
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f65,f34]) ).
tff(f34,plain,
( $less(sK0,sK1)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f33]) ).
tff(f33,plain,
( spl2_3
<=> $less(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
tff(f65,plain,
( ~ $less(sK0,sK1)
| ~ spl2_1 ),
inference(unit_resulting_resolution,[],[f9,f26,f10]) ).
tff(f10,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f26,plain,
( $less(sK1,sK0)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f24]) ).
tff(f24,plain,
( spl2_1
<=> $less(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
tff(f9,plain,
! [X0: $real] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f64,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_contradiction_clause,[],[f63]) ).
tff(f63,plain,
( $false
| ~ spl2_1
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f62,f9]) ).
tff(f62,plain,
( $less(sK0,sK0)
| ~ spl2_1
| ~ spl2_2 ),
inference(forward_demodulation,[],[f26,f29]) ).
tff(f29,plain,
( ( sK0 = sK1 )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f28]) ).
tff(f28,plain,
( spl2_2
<=> ( sK0 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
tff(f60,plain,
( spl2_1
| spl2_2
| spl2_3 ),
inference(avatar_contradiction_clause,[],[f59]) ).
tff(f59,plain,
( $false
| spl2_1
| spl2_2
| spl2_3 ),
inference(subsumption_resolution,[],[f38,f30]) ).
tff(f30,plain,
( ( sK0 != sK1 )
| spl2_2 ),
inference(avatar_component_clause,[],[f28]) ).
tff(f38,plain,
( ( sK0 = sK1 )
| spl2_1
| spl2_3 ),
inference(unit_resulting_resolution,[],[f35,f25,f11]) ).
tff(f11,plain,
! [X0: $real,X1: $real] :
( ( X0 = X1 )
| $less(X1,X0)
| $less(X0,X1) ),
introduced(theory_axiom_144,[]) ).
tff(f25,plain,
( ~ $less(sK1,sK0)
| spl2_1 ),
inference(avatar_component_clause,[],[f24]) ).
tff(f35,plain,
( ~ $less(sK0,sK1)
| spl2_3 ),
inference(avatar_component_clause,[],[f33]) ).
tff(f37,plain,
( ~ spl2_1
| spl2_3
| spl2_2 ),
inference(avatar_split_clause,[],[f20,f28,f33,f24]) ).
tff(f20,plain,
( ( sK0 = sK1 )
| $less(sK0,sK1)
| ~ $less(sK1,sK0) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ( ( ( sK0 != sK1 )
& ~ $less(sK0,sK1) )
| $less(sK1,sK0) )
& ( ( sK0 = sK1 )
| $less(sK0,sK1)
| ~ $less(sK1,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f17,f18]) ).
tff(f18,plain,
( ? [X0: $real,X1: $real] :
( ( ( ( X0 != X1 )
& ~ $less(X0,X1) )
| $less(X1,X0) )
& ( ( X0 = X1 )
| $less(X0,X1)
| ~ $less(X1,X0) ) )
=> ( ( ( ( sK0 != sK1 )
& ~ $less(sK0,sK1) )
| $less(sK1,sK0) )
& ( ( sK0 = sK1 )
| $less(sK0,sK1)
| ~ $less(sK1,sK0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
? [X0: $real,X1: $real] :
( ( ( ( X0 != X1 )
& ~ $less(X0,X1) )
| $less(X1,X0) )
& ( ( X0 = X1 )
| $less(X0,X1)
| ~ $less(X1,X0) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
? [X0: $real,X1: $real] :
( ( ( ( X0 != X1 )
& ~ $less(X0,X1) )
| $less(X1,X0) )
& ( ( X0 = X1 )
| $less(X0,X1)
| ~ $less(X1,X0) ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f15,plain,
? [X0: $real,X1: $real] :
( ~ $less(X1,X0)
<~> ( ( X0 = X1 )
| $less(X0,X1) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $real,X1: $real] :
( ~ $less(X1,X0)
<=> ( ( X0 = X1 )
| $less(X0,X1) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $real,X1: $real] :
( $lesseq(X0,X1)
<=> ( ( X0 = X1 )
| $less(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $real,X1: $real] :
( $lesseq(X0,X1)
<=> ( ( X0 = X1 )
| $less(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_combined_problem_1) ).
tff(f36,plain,
( spl2_1
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f21,f33,f24]) ).
tff(f21,plain,
( ~ $less(sK0,sK1)
| $less(sK1,sK0) ),
inference(cnf_transformation,[],[f19]) ).
tff(f31,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f22,f28,f24]) ).
tff(f22,plain,
( ( sK0 != sK1 )
| $less(sK1,sK0) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM913_1 : TPTP v8.2.0. Released v5.0.0.
% 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 : n011.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 06:50:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TF0_THM_EQU_ARI problem
% 0.14/0.35 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
% 0.56/0.75 % (1906)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)
% 0.56/0.75 % (1906)Refutation not found, incomplete strategy% (1906)------------------------------
% 0.56/0.75 % (1906)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (1906)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (1906)Memory used [KB]: 968
% 0.56/0.75 % (1906)Time elapsed: 0.002 s
% 0.56/0.75 % (1906)Instructions burned: 2 (million)
% 0.56/0.75 % (1899)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)
% 0.56/0.75 % (1901)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.75 % (1900)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)
% 0.56/0.75 % (1906)------------------------------
% 0.56/0.75 % (1906)------------------------------
% 0.56/0.75 % (1903)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)
% 0.56/0.75 % (1904)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)
% 0.56/0.75 % (1902)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)
% 0.56/0.75 % (1905)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)
% 0.56/0.75 % (1904)Refutation not found, incomplete strategy% (1904)------------------------------
% 0.56/0.75 % (1904)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (1904)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (1904)Memory used [KB]: 977
% 0.56/0.75 % (1904)Time elapsed: 0.003 s
% 0.56/0.75 % (1904)Instructions burned: 2 (million)
% 0.56/0.75 % (1904)------------------------------
% 0.56/0.75 % (1904)------------------------------
% 0.56/0.75 % (1905)Also succeeded, but the first one will report.
% 0.56/0.75 % (1902)First to succeed.
% 0.56/0.75 % (1907)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)
% 0.56/0.75 % (1902)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1882"
% 0.56/0.75 % (1901)Also succeeded, but the first one will report.
% 0.56/0.75 % (1902)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for theBenchmark
% 0.56/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.75 % (1902)------------------------------
% 0.56/0.75 % (1902)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (1902)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (1902)Memory used [KB]: 993
% 0.56/0.75 % (1902)Time elapsed: 0.004 s
% 0.56/0.75 % (1902)Instructions burned: 4 (million)
% 0.56/0.75 % (1882)Success in time 0.384 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------