TSTP Solution File: NUM386+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM386+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n017.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 : Wed May 1 03:30:43 EDT 2024
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 52 ( 4 unt; 0 def)
% Number of atoms : 123 ( 23 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 122 ( 51 ~; 61 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 50 ( 48 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f206,plain,
$false,
inference(avatar_sat_refutation,[],[f98,f99,f100,f116,f182,f205]) ).
fof(f205,plain,
( ~ spl9_1
| spl9_2
| spl9_3 ),
inference(avatar_contradiction_clause,[],[f204]) ).
fof(f204,plain,
( $false
| ~ spl9_1
| spl9_2
| spl9_3 ),
inference(subsumption_resolution,[],[f199,f183]) ).
fof(f183,plain,
( ~ sP3(sK0,singleton(sK1),sK1)
| spl9_2
| spl9_3 ),
inference(unit_resulting_resolution,[],[f118,f96,f53]) ).
fof(f53,plain,
! [X3,X0,X1] :
( ~ sP3(X3,X1,X0)
| in(X3,X1)
| in(X3,X0) ),
inference(cnf_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/sandbox/tmp/tmp.WwjdEfqHXR/Vampire---4.8_23958',d2_xboole_0) ).
fof(f96,plain,
( ~ in(sK0,sK1)
| spl9_3 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl9_3
<=> in(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f118,plain,
( ~ in(sK0,singleton(sK1))
| spl9_2 ),
inference(unit_resulting_resolution,[],[f92,f83]) ).
fof(f83,plain,
! [X2,X0] :
( ~ in(X2,singleton(X0))
| X0 = X2 ),
inference(equality_resolution,[],[f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( X0 = X2
| ~ in(X2,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( singleton(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> X0 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.WwjdEfqHXR/Vampire---4.8_23958',d1_tarski) ).
fof(f92,plain,
( sK0 != sK1
| spl9_2 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl9_2
<=> sK0 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f199,plain,
( sP3(sK0,singleton(sK1),sK1)
| ~ spl9_1 ),
inference(resolution,[],[f89,f81]) ).
fof(f81,plain,
! [X3,X0,X1] :
( ~ in(X3,set_union2(X0,X1))
| sP3(X3,X1,X0) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( sP3(X3,X1,X0)
| ~ in(X3,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f8]) ).
fof(f89,plain,
( in(sK0,set_union2(sK1,singleton(sK1)))
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl9_1
<=> in(sK0,set_union2(sK1,singleton(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f182,plain,
( spl9_1
| ~ spl9_3 ),
inference(avatar_contradiction_clause,[],[f181]) ).
fof(f181,plain,
( $false
| spl9_1
| ~ spl9_3 ),
inference(subsumption_resolution,[],[f177,f122]) ).
fof(f122,plain,
( ! [X0] : sP3(sK0,X0,sK1)
| ~ spl9_3 ),
inference(unit_resulting_resolution,[],[f97,f51]) ).
fof(f51,plain,
! [X3,X0,X1] :
( sP3(X3,X1,X0)
| ~ in(X3,X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f97,plain,
( in(sK0,sK1)
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f177,plain,
( ~ sP3(sK0,singleton(sK1),sK1)
| spl9_1 ),
inference(resolution,[],[f88,f82]) ).
fof(f82,plain,
! [X3,X0,X1] :
( in(X3,set_union2(X0,X1))
| ~ sP3(X3,X1,X0) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( ~ sP3(X3,X1,X0)
| in(X3,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f8]) ).
fof(f88,plain,
( ~ in(sK0,set_union2(sK1,singleton(sK1)))
| spl9_1 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f116,plain,
( spl9_1
| ~ spl9_2 ),
inference(avatar_contradiction_clause,[],[f115]) ).
fof(f115,plain,
( $false
| spl9_1
| ~ spl9_2 ),
inference(subsumption_resolution,[],[f111,f85]) ).
fof(f85,plain,
! [X2] : in(X2,singleton(X2)),
inference(equality_resolution,[],[f84]) ).
fof(f84,plain,
! [X2,X1] :
( in(X2,X1)
| singleton(X2) != X1 ),
inference(equality_resolution,[],[f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( X0 != X2
| in(X2,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f7]) ).
fof(f111,plain,
( ~ in(sK0,singleton(sK0))
| spl9_1
| ~ spl9_2 ),
inference(resolution,[],[f102,f52]) ).
fof(f52,plain,
! [X3,X0,X1] :
( sP3(X3,X1,X0)
| ~ in(X3,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f102,plain,
( ~ sP3(sK0,singleton(sK0),sK0)
| spl9_1
| ~ spl9_2 ),
inference(unit_resulting_resolution,[],[f101,f82]) ).
fof(f101,plain,
( ~ in(sK0,set_union2(sK0,singleton(sK0)))
| spl9_1
| ~ spl9_2 ),
inference(forward_demodulation,[],[f88,f93]) ).
fof(f93,plain,
( sK0 = sK1
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f100,plain,
( ~ spl9_1
| ~ spl9_3 ),
inference(avatar_split_clause,[],[f79,f95,f87]) ).
fof(f79,plain,
( ~ in(sK0,sK1)
| ~ in(sK0,set_union2(sK1,singleton(sK1))) ),
inference(definition_unfolding,[],[f46,f62]) ).
fof(f62,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/sandbox/tmp/tmp.WwjdEfqHXR/Vampire---4.8_23958',d1_ordinal1) ).
fof(f46,plain,
( ~ in(sK0,sK1)
| ~ in(sK0,succ(sK1)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
? [X0,X1] :
( in(X0,succ(X1))
<~> ( X0 = X1
| in(X0,X1) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,negated_conjecture,
~ ! [X0,X1] :
( in(X0,succ(X1))
<=> ( X0 = X1
| in(X0,X1) ) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
! [X0,X1] :
( in(X0,succ(X1))
<=> ( X0 = X1
| in(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.WwjdEfqHXR/Vampire---4.8_23958',t13_ordinal1) ).
fof(f99,plain,
( ~ spl9_1
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f78,f91,f87]) ).
fof(f78,plain,
( sK0 != sK1
| ~ in(sK0,set_union2(sK1,singleton(sK1))) ),
inference(definition_unfolding,[],[f47,f62]) ).
fof(f47,plain,
( sK0 != sK1
| ~ in(sK0,succ(sK1)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f98,plain,
( spl9_1
| spl9_2
| spl9_3 ),
inference(avatar_split_clause,[],[f77,f95,f91,f87]) ).
fof(f77,plain,
( in(sK0,sK1)
| sK0 = sK1
| in(sK0,set_union2(sK1,singleton(sK1))) ),
inference(definition_unfolding,[],[f48,f62]) ).
fof(f48,plain,
( in(sK0,sK1)
| sK0 = sK1
| in(sK0,succ(sK1)) ),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM386+1 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.14 % 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
% 0.14/0.36 % Computer : n017.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 : Tue Apr 30 16:27:19 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.WwjdEfqHXR/Vampire---4.8_23958
% 0.57/0.75 % (24339)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)
% 0.57/0.76 % (24340)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)
% 0.57/0.76 % (24333)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)
% 0.57/0.76 % (24335)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76 % (24336)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)
% 0.57/0.76 % (24334)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)
% 0.57/0.76 % (24337)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)
% 0.57/0.76 % (24338)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)
% 0.57/0.76 % (24340)Refutation not found, incomplete strategy% (24340)------------------------------
% 0.57/0.76 % (24340)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (24340)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (24340)Memory used [KB]: 977
% 0.57/0.76 % (24340)Time elapsed: 0.003 s
% 0.57/0.76 % (24340)Instructions burned: 3 (million)
% 0.57/0.76 % (24340)------------------------------
% 0.57/0.76 % (24340)------------------------------
% 0.57/0.76 % (24339)First to succeed.
% 0.57/0.76 % (24338)Refutation not found, incomplete strategy% (24338)------------------------------
% 0.57/0.76 % (24338)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (24338)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (24338)Memory used [KB]: 1042
% 0.57/0.76 % (24338)Time elapsed: 0.003 s
% 0.57/0.76 % (24338)Instructions burned: 3 (million)
% 0.57/0.76 % (24338)------------------------------
% 0.57/0.76 % (24338)------------------------------
% 0.57/0.76 % (24337)Refutation not found, incomplete strategy% (24337)------------------------------
% 0.57/0.76 % (24337)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (24337)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (24337)Memory used [KB]: 1055
% 0.57/0.76 % (24337)Time elapsed: 0.004 s
% 0.57/0.76 % (24337)Instructions burned: 4 (million)
% 0.57/0.76 % (24337)------------------------------
% 0.57/0.76 % (24337)------------------------------
% 0.57/0.76 % (24339)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Theorem for Vampire---4
% 0.57/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76 % (24339)------------------------------
% 0.57/0.76 % (24339)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (24339)Termination reason: Refutation
% 0.57/0.76
% 0.57/0.76 % (24339)Memory used [KB]: 1076
% 0.57/0.76 % (24339)Time elapsed: 0.004 s
% 0.57/0.76 % (24339)Instructions burned: 7 (million)
% 0.57/0.76 % (24339)------------------------------
% 0.57/0.76 % (24339)------------------------------
% 0.57/0.76 % (24196)Success in time 0.388 s
% 0.57/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------