TSTP Solution File: NUM891_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM891_1 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n010.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 : Sun May 5 08:16:14 EDT 2024
% Result : Theorem 0.54s 0.75s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 43 ( 5 unt; 1 typ; 0 def)
% Number of atoms : 94 ( 23 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 92 ( 40 ~; 45 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 94 ( 25 atm; 21 fun; 29 num; 19 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 18 !; 1 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(f196,plain,
$false,
inference(avatar_sat_refutation,[],[f26,f27,f30,f120,f155,f193,f195]) ).
tff(f195,plain,
( ~ spl1_3
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f186,f117,f113]) ).
tff(f113,plain,
( spl1_3
<=> $less(0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f117,plain,
( spl1_4
<=> $less(sK0,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f186,plain,
( ~ $less(0,sK0)
| ~ spl1_4 ),
inference(unit_resulting_resolution,[],[f8,f119,f9]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f119,plain,
( $less(sK0,0)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f117]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f193,plain,
( spl1_3
| ~ spl1_1
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f189,f117,f19,f113]) ).
tff(f19,plain,
( spl1_1
<=> ( sK0 = $uminus(sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f189,plain,
( $less(0,sK0)
| ~ spl1_1
| ~ spl1_4 ),
inference(evaluation,[],[f184]) ).
tff(f184,plain,
( $less(0,$sum(0,sK0))
| ~ spl1_1
| ~ spl1_4 ),
inference(unit_resulting_resolution,[],[f119,f37]) ).
tff(f37,plain,
( ! [X0: $int] :
( $less(0,$sum(X0,sK0))
| ~ $less(sK0,X0) )
| ~ spl1_1 ),
inference(superposition,[],[f11,f32]) ).
tff(f32,plain,
( ( 0 = $sum(sK0,sK0) )
| ~ spl1_1 ),
inference(superposition,[],[f7,f20]) ).
tff(f20,plain,
( ( sK0 = $uminus(sK0) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f19]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
tff(f155,plain,
( spl1_4
| spl1_2
| spl1_3 ),
inference(avatar_split_clause,[],[f154,f113,f23,f117]) ).
tff(f23,plain,
( spl1_2
<=> ( 0 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f154,plain,
( $less(sK0,0)
| spl1_2
| spl1_3 ),
inference(subsumption_resolution,[],[f149,f25]) ).
tff(f25,plain,
( ( 0 != sK0 )
| spl1_2 ),
inference(avatar_component_clause,[],[f23]) ).
tff(f149,plain,
( $less(sK0,0)
| ( 0 = sK0 )
| spl1_3 ),
inference(resolution,[],[f115,f10]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f115,plain,
( ~ $less(0,sK0)
| spl1_3 ),
inference(avatar_component_clause,[],[f113]) ).
tff(f120,plain,
( ~ spl1_3
| spl1_4
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f108,f19,f117,f113]) ).
tff(f108,plain,
( $less(sK0,0)
| ~ $less(0,sK0)
| ~ spl1_1 ),
inference(superposition,[],[f71,f5]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f71,plain,
( ! [X0: $int] :
( $less($sum(sK0,X0),0)
| ~ $less(X0,sK0) )
| ~ spl1_1 ),
inference(superposition,[],[f36,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f36,plain,
( ! [X0: $int] :
( $less($sum(X0,sK0),0)
| ~ $less(X0,sK0) )
| ~ spl1_1 ),
inference(superposition,[],[f11,f32]) ).
tff(f30,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_contradiction_clause,[],[f29]) ).
tff(f29,plain,
( $false
| spl1_1
| ~ spl1_2 ),
inference(evaluation,[],[f28]) ).
tff(f28,plain,
( ( 0 != $uminus(0) )
| spl1_1
| ~ spl1_2 ),
inference(forward_demodulation,[],[f21,f24]) ).
tff(f24,plain,
( ( 0 = sK0 )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f23]) ).
tff(f21,plain,
( ( sK0 != $uminus(sK0) )
| spl1_1 ),
inference(avatar_component_clause,[],[f19]) ).
tff(f27,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f16,f23,f19]) ).
tff(f16,plain,
( ( 0 = sK0 )
| ( sK0 = $uminus(sK0) ) ),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
? [X0: $int] :
( ( $uminus(X0) = X0 )
<~> ( 0 = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $uminus(X0) = X0 )
<=> ( 0 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( ( $uminus(X0) = X0 )
<=> ( 0 = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.vGZYdq55RC/Vampire---4.8_9105',uminus_equal) ).
tff(f26,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f17,f23,f19]) ).
tff(f17,plain,
( ( 0 != sK0 )
| ( sK0 != $uminus(sK0) ) ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM891_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14 % 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
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 13:55:48 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TF0_THM_EQU_ARI problem
% 0.15/0.36 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.vGZYdq55RC/Vampire---4.8_9105
% 0.54/0.74 % (9360)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)
% 0.54/0.74 % (9356)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.74 % (9354)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)
% 0.54/0.74 % (9357)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)
% 0.54/0.74 % (9355)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)
% 0.54/0.74 % (9359)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)
% 0.54/0.74 % (9361)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.54/0.74 % (9354)Refutation not found, incomplete strategy% (9354)------------------------------
% 0.54/0.74 % (9354)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (9354)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (9354)Memory used [KB]: 970
% 0.54/0.74 % (9354)Time elapsed: 0.003 s
% 0.54/0.74 % (9357)Refutation not found, incomplete strategy% (9357)------------------------------
% 0.54/0.74 % (9357)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (9357)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (9357)Memory used [KB]: 965
% 0.54/0.74 % (9357)Time elapsed: 0.003 s
% 0.54/0.74 % (9357)Instructions burned: 3 (million)
% 0.54/0.74 % (9354)Instructions burned: 3 (million)
% 0.54/0.75 % (9361)Refutation not found, incomplete strategy% (9361)------------------------------
% 0.54/0.75 % (9361)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (9361)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (9361)Memory used [KB]: 955
% 0.54/0.75 % (9361)Time elapsed: 0.003 s
% 0.54/0.75 % (9361)Instructions burned: 2 (million)
% 0.54/0.75 % (9357)------------------------------
% 0.54/0.75 % (9357)------------------------------
% 0.54/0.75 % (9354)------------------------------
% 0.54/0.75 % (9354)------------------------------
% 0.54/0.75 % (9361)------------------------------
% 0.54/0.75 % (9361)------------------------------
% 0.54/0.75 % (9360)First to succeed.
% 0.54/0.75 % (9360)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9350"
% 0.54/0.75 % (9360)Refutation found. Thanks to Tanya!
% 0.54/0.75 % SZS status Theorem for Vampire---4
% 0.54/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.75 % (9360)------------------------------
% 0.54/0.75 % (9360)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (9360)Termination reason: Refutation
% 0.54/0.75
% 0.54/0.75 % (9360)Memory used [KB]: 1087
% 0.54/0.75 % (9360)Time elapsed: 0.005 s
% 0.54/0.75 % (9360)Instructions burned: 10 (million)
% 0.54/0.75 % (9350)Success in time 0.38 s
% 0.54/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------