TSTP Solution File: NUM905_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM905_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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n015.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 08:16:18 EDT 2024
% Result : Theorem 0.62s 0.80s
% Output : Refutation 0.62s
% 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: $rat ).
tff(f167,plain,
$false,
inference(avatar_sat_refutation,[],[f25,f26,f29,f119,f154,f164,f166]) ).
tff(f166,plain,
( ~ spl1_3
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f157,f116,f112]) ).
tff(f112,plain,
( spl1_3
<=> $less(0/1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f116,plain,
( spl1_4
<=> $less(sK0,0/1) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f157,plain,
( ~ $less(0/1,sK0)
| ~ spl1_4 ),
inference(unit_resulting_resolution,[],[f8,f118,f9]) ).
tff(f9,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f118,plain,
( $less(sK0,0/1)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f116]) ).
tff(f8,plain,
! [X0: $rat] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f164,plain,
( spl1_3
| ~ spl1_1
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f160,f116,f18,f112]) ).
tff(f18,plain,
( spl1_1
<=> ( sK0 = $uminus(sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f160,plain,
( $less(0/1,sK0)
| ~ spl1_1
| ~ spl1_4 ),
inference(evaluation,[],[f155]) ).
tff(f155,plain,
( $less(0/1,$sum(0/1,sK0))
| ~ spl1_1
| ~ spl1_4 ),
inference(unit_resulting_resolution,[],[f118,f36]) ).
tff(f36,plain,
( ! [X0: $rat] :
( $less(0/1,$sum(X0,sK0))
| ~ $less(sK0,X0) )
| ~ spl1_1 ),
inference(superposition,[],[f11,f31]) ).
tff(f31,plain,
( ( 0/1 = $sum(sK0,sK0) )
| ~ spl1_1 ),
inference(superposition,[],[f7,f19]) ).
tff(f19,plain,
( ( sK0 = $uminus(sK0) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f18]) ).
tff(f7,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f11,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
tff(f154,plain,
( spl1_4
| spl1_2
| spl1_3 ),
inference(avatar_split_clause,[],[f153,f112,f22,f116]) ).
tff(f22,plain,
( spl1_2
<=> ( 0/1 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f153,plain,
( $less(sK0,0/1)
| spl1_2
| spl1_3 ),
inference(subsumption_resolution,[],[f148,f24]) ).
tff(f24,plain,
( ( 0/1 != sK0 )
| spl1_2 ),
inference(avatar_component_clause,[],[f22]) ).
tff(f148,plain,
( $less(sK0,0/1)
| ( 0/1 = sK0 )
| spl1_3 ),
inference(resolution,[],[f114,f10]) ).
tff(f10,plain,
! [X0: $rat,X1: $rat] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f114,plain,
( ~ $less(0/1,sK0)
| spl1_3 ),
inference(avatar_component_clause,[],[f112]) ).
tff(f119,plain,
( ~ spl1_3
| spl1_4
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f107,f18,f116,f112]) ).
tff(f107,plain,
( $less(sK0,0/1)
| ~ $less(0/1,sK0)
| ~ spl1_1 ),
inference(superposition,[],[f59,f5]) ).
tff(f5,plain,
! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f59,plain,
( ! [X0: $rat] :
( $less($sum(sK0,X0),0/1)
| ~ $less(X0,sK0) )
| ~ spl1_1 ),
inference(superposition,[],[f35,f3]) ).
tff(f3,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f35,plain,
( ! [X0: $rat] :
( $less($sum(X0,sK0),0/1)
| ~ $less(X0,sK0) )
| ~ spl1_1 ),
inference(superposition,[],[f11,f31]) ).
tff(f29,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_contradiction_clause,[],[f28]) ).
tff(f28,plain,
( $false
| spl1_1
| ~ spl1_2 ),
inference(evaluation,[],[f27]) ).
tff(f27,plain,
( ( 0/1 != $uminus(0/1) )
| spl1_1
| ~ spl1_2 ),
inference(forward_demodulation,[],[f20,f23]) ).
tff(f23,plain,
( ( 0/1 = sK0 )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f22]) ).
tff(f20,plain,
( ( sK0 != $uminus(sK0) )
| spl1_1 ),
inference(avatar_component_clause,[],[f18]) ).
tff(f26,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f15,f22,f18]) ).
tff(f15,plain,
( ( 0/1 = sK0 )
| ( sK0 = $uminus(sK0) ) ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
? [X0: $rat] :
( ( $uminus(X0) = X0 )
<~> ( 0/1 = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $uminus(X0) = X0 )
<=> ( 0/1 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $uminus(X0) = X0 )
<=> ( 0/1 = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.QOb3XzADmg/Vampire---4.8_4120',rat_uminus_problem_9) ).
tff(f25,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f16,f22,f18]) ).
tff(f16,plain,
( ( 0/1 != sK0 )
| ( sK0 != $uminus(sK0) ) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM905_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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n015.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 14:57:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TF0_THM_EQU_ARI problem
% 0.15/0.35 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/tmp/tmp.QOb3XzADmg/Vampire---4.8_4120
% 0.62/0.80 % (4236)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 (2995ds/56Mi)
% 0.62/0.80 % (4235)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 (2995ds/83Mi)
% 0.62/0.80 % (4236)Refutation not found, incomplete strategy% (4236)------------------------------
% 0.62/0.80 % (4236)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (4236)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (4236)Memory used [KB]: 955
% 0.62/0.80 % (4229)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 (2995ds/34Mi)
% 0.62/0.80 % (4236)Time elapsed: 0.002 s
% 0.62/0.80 % (4236)Instructions burned: 2 (million)
% 0.62/0.80 % (4231)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80 % (4232)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.80 % (4230)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 (2995ds/51Mi)
% 0.62/0.80 % (4233)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 (2995ds/34Mi)
% 0.62/0.80 % (4234)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.80 % (4236)------------------------------
% 0.62/0.80 % (4236)------------------------------
% 0.62/0.80 % (4232)Refutation not found, incomplete strategy% (4232)------------------------------
% 0.62/0.80 % (4232)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (4229)Refutation not found, incomplete strategy% (4229)------------------------------
% 0.62/0.80 % (4229)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (4229)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (4232)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (4229)Memory used [KB]: 970
% 0.62/0.80 % (4232)Memory used [KB]: 964
% 0.62/0.80 % (4229)Time elapsed: 0.003 s
% 0.62/0.80 % (4232)Time elapsed: 0.003 s
% 0.62/0.80 % (4229)Instructions burned: 3 (million)
% 0.62/0.80 % (4232)Instructions burned: 2 (million)
% 0.62/0.80 % (4229)------------------------------
% 0.62/0.80 % (4229)------------------------------
% 0.62/0.80 % (4232)------------------------------
% 0.62/0.80 % (4232)------------------------------
% 0.62/0.80 % (4235)First to succeed.
% 0.62/0.80 % (4235)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4227"
% 0.62/0.80 % (4239)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.62/0.80 % (4235)Refutation found. Thanks to Tanya!
% 0.62/0.80 % SZS status Theorem for Vampire---4
% 0.62/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.80 % (4235)------------------------------
% 0.62/0.80 % (4235)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (4235)Termination reason: Refutation
% 0.62/0.80
% 0.62/0.80 % (4235)Memory used [KB]: 1079
% 0.62/0.80 % (4235)Time elapsed: 0.006 s
% 0.62/0.80 % (4235)Instructions burned: 9 (million)
% 0.62/0.80 % (4227)Success in time 0.446 s
% 0.62/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------