TSTP Solution File: NUM385+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM385+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n007.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 08:11:35 EDT 2024
% Result : Theorem 0.56s 0.74s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 49 ( 12 unt; 0 def)
% Number of atoms : 184 ( 56 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 217 ( 82 ~; 84 |; 39 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 76 ( 65 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f200,plain,
$false,
inference(avatar_sat_refutation,[],[f141,f148,f199]) ).
fof(f199,plain,
~ spl6_5,
inference(avatar_contradiction_clause,[],[f198]) ).
fof(f198,plain,
( $false
| ~ spl6_5 ),
inference(subsumption_resolution,[],[f194,f67]) ).
fof(f67,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( sK0 != sK1
& succ(sK0) = succ(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f39,f51]) ).
fof(f51,plain,
( ? [X0,X1] :
( X0 != X1
& succ(X0) = succ(X1) )
=> ( sK0 != sK1
& succ(sK0) = succ(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
? [X0,X1] :
( X0 != X1
& succ(X0) = succ(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X0,X1] :
( succ(X0) = succ(X1)
=> X0 = X1 ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X0,X1] :
( succ(X0) = succ(X1)
=> X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.9PhH0L2Knu/Vampire---4.8_32625',t12_ordinal1) ).
fof(f194,plain,
( sK0 = sK1
| ~ spl6_5 ),
inference(resolution,[],[f170,f108]) ).
fof(f108,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f78]) ).
fof(f78,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ( ( sK3(X0,X1) != X0
| ~ in(sK3(X0,X1),X1) )
& ( sK3(X0,X1) = X0
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f59,f60]) ).
fof(f60,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) )
=> ( ( sK3(X0,X1) != X0
| ~ in(sK3(X0,X1),X1) )
& ( sK3(X0,X1) = X0
| in(sK3(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( singleton(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> X0 = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.9PhH0L2Knu/Vampire---4.8_32625',d1_tarski) ).
fof(f170,plain,
( in(sK0,singleton(sK1))
| ~ spl6_5 ),
inference(subsumption_resolution,[],[f165,f154]) ).
fof(f154,plain,
( ~ in(sK0,sK1)
| ~ spl6_5 ),
inference(resolution,[],[f140,f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.9PhH0L2Knu/Vampire---4.8_32625',antisymmetry_r2_hidden) ).
fof(f140,plain,
( in(sK1,sK0)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl6_5
<=> in(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f165,plain,
( in(sK0,sK1)
| in(sK0,singleton(sK1)) ),
inference(resolution,[],[f116,f101]) ).
fof(f101,plain,
! [X0] : in(X0,set_union2(X0,singleton(X0))),
inference(definition_unfolding,[],[f84,f82]) ).
fof(f82,plain,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
file('/export/starexec/sandbox2/tmp/tmp.9PhH0L2Knu/Vampire---4.8_32625',d1_ordinal1) ).
fof(f84,plain,
! [X0] : in(X0,succ(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] : in(X0,succ(X0)),
file('/export/starexec/sandbox2/tmp/tmp.9PhH0L2Knu/Vampire---4.8_32625',t10_ordinal1) ).
fof(f116,plain,
! [X0] :
( ~ in(X0,set_union2(sK0,singleton(sK0)))
| in(X0,sK1)
| in(X0,singleton(sK1)) ),
inference(superposition,[],[f105,f100]) ).
fof(f100,plain,
set_union2(sK0,singleton(sK0)) = set_union2(sK1,singleton(sK1)),
inference(definition_unfolding,[],[f66,f82,f82]) ).
fof(f66,plain,
succ(sK0) = succ(sK1),
inference(cnf_transformation,[],[f52]) ).
fof(f105,plain,
! [X0,X1,X4] :
( ~ in(X4,set_union2(X0,X1))
| in(X4,X0)
| in(X4,X1) ),
inference(equality_resolution,[],[f72]) ).
fof(f72,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ( ( ( ~ in(sK2(X0,X1,X2),X1)
& ~ in(sK2(X0,X1,X2),X0) )
| ~ in(sK2(X0,X1,X2),X2) )
& ( in(sK2(X0,X1,X2),X1)
| in(sK2(X0,X1,X2),X0)
| in(sK2(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X1)
& ~ in(X4,X0) ) )
& ( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f55,f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) )
=> ( ( ( ~ in(sK2(X0,X1,X2),X1)
& ~ in(sK2(X0,X1,X2),X0) )
| ~ in(sK2(X0,X1,X2),X2) )
& ( in(sK2(X0,X1,X2),X1)
| in(sK2(X0,X1,X2),X0)
| in(sK2(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X1)
& ~ in(X4,X0) ) )
& ( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( set_union2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
| in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9PhH0L2Knu/Vampire---4.8_32625',d2_xboole_0) ).
fof(f148,plain,
~ spl6_4,
inference(avatar_contradiction_clause,[],[f147]) ).
fof(f147,plain,
( $false
| ~ spl6_4 ),
inference(subsumption_resolution,[],[f143,f67]) ).
fof(f143,plain,
( sK0 = sK1
| ~ spl6_4 ),
inference(resolution,[],[f136,f108]) ).
fof(f136,plain,
( in(sK1,singleton(sK0))
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl6_4
<=> in(sK1,singleton(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f141,plain,
( spl6_4
| spl6_5 ),
inference(avatar_split_clause,[],[f130,f138,f134]) ).
fof(f130,plain,
( in(sK1,sK0)
| in(sK1,singleton(sK0)) ),
inference(resolution,[],[f110,f105]) ).
fof(f110,plain,
in(sK1,set_union2(sK0,singleton(sK0))),
inference(superposition,[],[f101,f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM385+1 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.15 % 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
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 13:56:05 EDT 2024
% 0.22/0.37 % CPUTime :
% 0.22/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.22/0.37 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.9PhH0L2Knu/Vampire---4.8_32625
% 0.56/0.73 % (32734)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)
% 0.56/0.73 % (32735)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)
% 0.56/0.73 % (32738)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)
% 0.56/0.73 % (32736)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.73 % (32737)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)
% 0.56/0.73 % (32739)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)
% 0.56/0.73 % (32740)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)
% 0.56/0.73 % (32741)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)
% 0.56/0.73 % (32737)Refutation not found, incomplete strategy% (32737)------------------------------
% 0.56/0.73 % (32737)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (32734)Refutation not found, incomplete strategy% (32734)------------------------------
% 0.56/0.73 % (32734)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (32734)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (32734)Memory used [KB]: 976
% 0.56/0.73 % (32734)Time elapsed: 0.002 s
% 0.56/0.73 % (32734)Instructions burned: 3 (million)
% 0.56/0.73 % (32737)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (32737)Memory used [KB]: 956
% 0.56/0.73 % (32737)Time elapsed: 0.002 s
% 0.56/0.73 % (32737)Instructions burned: 2 (million)
% 0.56/0.73 % (32734)------------------------------
% 0.56/0.73 % (32734)------------------------------
% 0.56/0.73 % (32737)------------------------------
% 0.56/0.73 % (32737)------------------------------
% 0.56/0.73 % (32739)Refutation not found, incomplete strategy% (32739)------------------------------
% 0.56/0.73 % (32739)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (32739)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (32739)Memory used [KB]: 977
% 0.56/0.73 % (32739)Time elapsed: 0.003 s
% 0.56/0.73 % (32739)Instructions burned: 3 (million)
% 0.56/0.73 % (32741)Refutation not found, incomplete strategy% (32741)------------------------------
% 0.56/0.73 % (32741)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (32738)Refutation not found, incomplete strategy% (32738)------------------------------
% 0.56/0.73 % (32738)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (32738)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (32738)Memory used [KB]: 1057
% 0.56/0.73 % (32738)Time elapsed: 0.003 s
% 0.56/0.73 % (32738)Instructions burned: 4 (million)
% 0.56/0.73 % (32739)------------------------------
% 0.56/0.73 % (32739)------------------------------
% 0.56/0.73 % (32741)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (32741)Memory used [KB]: 963
% 0.56/0.73 % (32741)Time elapsed: 0.003 s
% 0.56/0.73 % (32741)Instructions burned: 2 (million)
% 0.56/0.73 % (32738)------------------------------
% 0.56/0.73 % (32738)------------------------------
% 0.56/0.73 % (32741)------------------------------
% 0.56/0.73 % (32741)------------------------------
% 0.56/0.73 % (32742)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 Vampire---4 for (2996ds/55Mi)
% 0.56/0.73 % (32743)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 Vampire---4 for (2996ds/50Mi)
% 0.56/0.73 % (32745)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.56/0.73 % (32746)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.56/0.73 % (32743)Refutation not found, incomplete strategy% (32743)------------------------------
% 0.56/0.73 % (32743)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (32743)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (32743)Memory used [KB]: 1041
% 0.56/0.73 % (32743)Time elapsed: 0.003 s
% 0.56/0.73 % (32743)Instructions burned: 4 (million)
% 0.56/0.73 % (32743)------------------------------
% 0.56/0.73 % (32743)------------------------------
% 0.56/0.74 % (32746)First to succeed.
% 0.56/0.74 % (32747)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.56/0.74 % (32746)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32733"
% 0.56/0.74 % (32747)Refutation not found, incomplete strategy% (32747)------------------------------
% 0.56/0.74 % (32747)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (32747)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (32746)Refutation found. Thanks to Tanya!
% 0.56/0.74 % SZS status Theorem for Vampire---4
% 0.56/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.74 % (32746)------------------------------
% 0.56/0.74 % (32746)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (32746)Termination reason: Refutation
% 0.56/0.74
% 0.56/0.74 % (32746)Memory used [KB]: 1077
% 0.56/0.74 % (32746)Time elapsed: 0.007 s
% 0.56/0.74 % (32746)Instructions burned: 8 (million)
% 0.56/0.74 % (32733)Success in time 0.365 s
% 0.56/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------