TSTP Solution File: SEU709_8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU709_8 : TPTP v8.1.2. Released v8.0.0.
% 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 : n009.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 03:54:38 EDT 2024
% Result : Theorem 0.63s 0.78s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 56 ( 19 unt; 1 typ; 0 def)
% Number of atoms : 282 ( 22 equ)
% Maximal formula atoms : 8 ( 5 avg)
% Number of connectives : 148 ( 42 ~; 36 |; 14 &)
% ( 7 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 159 ( 133 fml; 26 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 1 >; 3 *; 0 +; 0 <<)
% Number of predicates : 18 ( 15 usr; 15 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 4-4 aty)
% Number of variables : 98 ( 90 !; 8 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
if: ( $i * $o * $i * $i ) > $i ).
tff(f113,plain,
$false,
inference(avatar_sat_refutation,[],[f58,f63,f108,f112]) ).
tff(f112,plain,
spl4_3,
inference(avatar_contradiction_clause,[],[f111]) ).
tff(f111,plain,
( $false
| spl4_3 ),
inference(subsumption_resolution,[],[f110,f65]) ).
tff(f65,plain,
! [X0: $i,X1: $i] : in(X0,setadjoin(X1,setadjoin(X0,emptyset))),
inference(unit_resulting_resolution,[],[f37,f40]) ).
tff(f40,plain,
! [X0: $i,X1: $i] :
( in(X1,setadjoin(X0,setadjoin(X1,emptyset)))
| ~ secondinupair ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
( ! [X0,X1] : in(X1,setadjoin(X0,setadjoin(X1,emptyset)))
| ~ secondinupair ),
inference(ennf_transformation,[],[f19]) ).
tff(f19,plain,
( secondinupair
=> ! [X0,X1] : in(X1,setadjoin(X0,setadjoin(X1,emptyset))) ),
inference(unused_predicate_definition_removal,[],[f9]) ).
tff(f9,plain,
( secondinupair
<=> ! [X0,X1] : in(X1,setadjoin(X0,setadjoin(X1,emptyset))) ),
inference(flattening,[],[f3]) ).
tff(f3,axiom,
( secondinupair
= ( ! [X0,X1] : in(X1,setadjoin(X0,setadjoin(X1,emptyset))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.48IGpTw7UV/Vampire---4.8_15631',secondinupair) ).
tff(f37,plain,
secondinupair,
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ~ in(if(X0,X1,X2,X3),setadjoin(X2,setadjoin(X3,emptyset)))
& in(X3,X0) )
& in(X2,X0) )
& iffalse
& iftrue
& secondinupair
& in__Cong
& setadjoinIL ),
inference(flattening,[],[f22]) ).
tff(f22,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ~ in(if(X0,X1,X2,X3),setadjoin(X2,setadjoin(X3,emptyset)))
& in(X3,X0) )
& in(X2,X0) )
& iffalse
& iftrue
& secondinupair
& in__Cong
& setadjoinIL ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,plain,
~ ( setadjoinIL
=> ( in__Cong
=> ( secondinupair
=> ( iftrue
=> ( iffalse
=> ! [X0,X1,X2] :
( in(X2,X0)
=> ! [X3] :
( in(X3,X0)
=> in(if(X0,X1,X2,X3),setadjoin(X2,setadjoin(X3,emptyset))) ) ) ) ) ) ) ),
inference(rectify,[],[f7]) ).
tff(f7,negated_conjecture,
~ ( setadjoinIL
=> ( in__Cong
=> ( secondinupair
=> ( iftrue
=> ( iffalse
=> ! [X2,X4: $o,X0] :
( in(X0,X2)
=> ! [X1] :
( in(X1,X2)
=> in(if(X2,(X4),X0,X1),setadjoin(X0,setadjoin(X1,emptyset))) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
( setadjoinIL
=> ( in__Cong
=> ( secondinupair
=> ( iftrue
=> ( iffalse
=> ! [X2,X4: $o,X0] :
( in(X0,X2)
=> ! [X1] :
( in(X1,X2)
=> in(if(X2,(X4),X0,X1),setadjoin(X0,setadjoin(X1,emptyset))) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.48IGpTw7UV/Vampire---4.8_15631',iftrueorfalse) ).
tff(f110,plain,
( ~ in(sK3,setadjoin(sK2,setadjoin(sK3,emptyset)))
| spl4_3 ),
inference(superposition,[],[f62,f78]) ).
tff(f78,plain,
sK3 = if(sK0,$false,sK2,sK3),
inference(unit_resulting_resolution,[],[f39,f33,f34,f42]) ).
tff(f42,plain,
! [X2: $i,X3: $i,X0: $i] :
( ~ in(X3,X0)
| ~ in(X2,X0)
| ~ iffalse
| ( if(X0,$false,X2,X3) = X3 ) ),
inference(cnf_transformation,[],[f27]) ).
tff(f27,plain,
( ! [X0,X1: $o,X2] :
( ! [X3] :
( ( if(X0,(X1),X2,X3) = X3 )
| (X1)
| ~ in(X3,X0) )
| ~ in(X2,X0) )
| ~ iffalse ),
inference(flattening,[],[f26]) ).
tff(f26,plain,
( ! [X0,X1: $o,X2] :
( ! [X3] :
( ( if(X0,(X1),X2,X3) = X3 )
| (X1)
| ~ in(X3,X0) )
| ~ in(X2,X0) )
| ~ iffalse ),
inference(ennf_transformation,[],[f17]) ).
tff(f17,plain,
( iffalse
=> ! [X0,X1: $o,X2] :
( in(X2,X0)
=> ! [X3] :
( in(X3,X0)
=> ( ~ (X1)
=> ( if(X0,(X1),X2,X3) = X3 ) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
tff(f12,plain,
( iffalse
<=> ! [X0,X1: $o,X2] :
( in(X2,X0)
=> ! [X3] :
( in(X3,X0)
=> ( ~ (X1)
=> ( if(X0,(X1),X2,X3) = X3 ) ) ) ) ),
inference(flattening,[],[f11]) ).
tff(f11,plain,
( iffalse
= ( ! [X0,X1: $o,X2] :
( in(X2,X0)
=> ! [X3] :
( in(X3,X0)
=> ( ~ (X1)
=> ( if(X0,(X1),X2,X3) = X3 ) ) ) ) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
( iffalse
= ( ! [X2,X4: $o,X0] :
( in(X0,X2)
=> ! [X1] :
( in(X1,X2)
=> ( ~ (X4)
=> ( if(X2,(X4),X0,X1) = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.48IGpTw7UV/Vampire---4.8_15631',iffalse) ).
tff(f34,plain,
in(sK2,sK0),
inference(cnf_transformation,[],[f23]) ).
tff(f33,plain,
in(sK3,sK0),
inference(cnf_transformation,[],[f23]) ).
tff(f39,plain,
iffalse,
inference(cnf_transformation,[],[f23]) ).
tff(f62,plain,
( ~ in(if(sK0,$false,sK2,sK3),setadjoin(sK2,setadjoin(sK3,emptyset)))
| spl4_3 ),
inference(avatar_component_clause,[],[f60]) ).
tff(f60,plain,
( spl4_3
<=> in(if(sK0,$false,sK2,sK3),setadjoin(sK2,setadjoin(sK3,emptyset))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
tff(f108,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f107]) ).
tff(f107,plain,
( $false
| spl4_1 ),
inference(subsumption_resolution,[],[f106,f64]) ).
tff(f64,plain,
! [X0: $i,X1: $i] : in(X0,setadjoin(X0,X1)),
inference(unit_resulting_resolution,[],[f35,f41]) ).
tff(f41,plain,
! [X0: $i,X1: $i] :
( in(X0,setadjoin(X0,X1))
| ~ setadjoinIL ),
inference(cnf_transformation,[],[f25]) ).
tff(f25,plain,
( ! [X0,X1] : in(X0,setadjoin(X0,X1))
| ~ setadjoinIL ),
inference(ennf_transformation,[],[f21]) ).
tff(f21,plain,
( setadjoinIL
=> ! [X0,X1] : in(X0,setadjoin(X0,X1)) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
tff(f10,plain,
( setadjoinIL
<=> ! [X0,X1] : in(X0,setadjoin(X0,X1)) ),
inference(flattening,[],[f1]) ).
tff(f1,axiom,
( setadjoinIL
= ( ! [X0,X1] : in(X0,setadjoin(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.48IGpTw7UV/Vampire---4.8_15631',setadjoinIL) ).
tff(f35,plain,
setadjoinIL,
inference(cnf_transformation,[],[f23]) ).
tff(f106,plain,
( ~ in(sK2,setadjoin(sK2,setadjoin(sK3,emptyset)))
| spl4_1 ),
inference(superposition,[],[f53,f74]) ).
tff(f74,plain,
sK2 = if(sK0,$true,sK2,sK3),
inference(unit_resulting_resolution,[],[f38,f33,f34,f43]) ).
tff(f43,plain,
! [X2: $i,X3: $i,X0: $i] :
( ~ in(X3,X0)
| ~ in(X2,X0)
| ~ iftrue
| ( if(X0,$true,X2,X3) = X2 ) ),
inference(cnf_transformation,[],[f29]) ).
tff(f29,plain,
( ! [X0,X1: $o,X2] :
( ! [X3] :
( ( if(X0,(X1),X2,X3) = X2 )
| ~ (X1)
| ~ in(X3,X0) )
| ~ in(X2,X0) )
| ~ iftrue ),
inference(flattening,[],[f28]) ).
tff(f28,plain,
( ! [X0,X1: $o,X2] :
( ! [X3] :
( ( if(X0,(X1),X2,X3) = X2 )
| ~ (X1)
| ~ in(X3,X0) )
| ~ in(X2,X0) )
| ~ iftrue ),
inference(ennf_transformation,[],[f18]) ).
tff(f18,plain,
( iftrue
=> ! [X0,X1: $o,X2] :
( in(X2,X0)
=> ! [X3] :
( in(X3,X0)
=> ( (X1)
=> ( if(X0,(X1),X2,X3) = X2 ) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f14]) ).
tff(f14,plain,
( iftrue
<=> ! [X0,X1: $o,X2] :
( in(X2,X0)
=> ! [X3] :
( in(X3,X0)
=> ( (X1)
=> ( if(X0,(X1),X2,X3) = X2 ) ) ) ) ),
inference(flattening,[],[f13]) ).
tff(f13,plain,
( iftrue
= ( ! [X0,X1: $o,X2] :
( in(X2,X0)
=> ! [X3] :
( in(X3,X0)
=> ( (X1)
=> ( if(X0,(X1),X2,X3) = X2 ) ) ) ) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
( iftrue
= ( ! [X2,X4: $o,X0] :
( in(X0,X2)
=> ! [X1] :
( in(X1,X2)
=> ( (X4)
=> ( if(X2,(X4),X0,X1) = X0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.48IGpTw7UV/Vampire---4.8_15631',iftrue) ).
tff(f38,plain,
iftrue,
inference(cnf_transformation,[],[f23]) ).
tff(f53,plain,
( ~ in(if(sK0,$true,sK2,sK3),setadjoin(sK2,setadjoin(sK3,emptyset)))
| spl4_1 ),
inference(avatar_component_clause,[],[f51]) ).
tff(f51,plain,
( spl4_1
<=> in(if(sK0,$true,sK2,sK3),setadjoin(sK2,setadjoin(sK3,emptyset))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
tff(f63,plain,
( ~ spl4_3
| spl4_2 ),
inference(avatar_split_clause,[],[f31,f55,f60]) ).
tff(f55,plain,
( spl4_2
<=> sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
tff(f31,plain,
( sK1
| ~ in(if(sK0,$false,sK2,sK3),setadjoin(sK2,setadjoin(sK3,emptyset))) ),
inference(cnf_transformation,[],[f23]) ).
tff(f58,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f32,f55,f51]) ).
tff(f32,plain,
( ~ sK1
| ~ in(if(sK0,$true,sK2,sK3),setadjoin(sK2,setadjoin(sK3,emptyset))) ),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU709_8 : TPTP v8.1.2. Released v8.0.0.
% 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
% 0.14/0.35 % Computer : n009.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 : Tue Apr 30 16:09:41 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TX0_THM_EQU_NAR 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/tmp/tmp.48IGpTw7UV/Vampire---4.8_15631
% 0.55/0.78 % (15822)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)
% 0.55/0.78 % (15829)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)
% 0.55/0.78 % (15829)Refutation not found, incomplete strategy% (15829)------------------------------
% 0.55/0.78 % (15829)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.78 % (15822)Refutation not found, incomplete strategy% (15822)------------------------------
% 0.55/0.78 % (15822)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.78 % (15822)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78
% 0.55/0.78 % (15822)Memory used [KB]: 1048
% 0.55/0.78 % (15822)Time elapsed: 0.002 s
% 0.55/0.78 % (15822)Instructions burned: 3 (million)
% 0.55/0.78 % (15822)------------------------------
% 0.55/0.78 % (15822)------------------------------
% 0.55/0.78 % (15829)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78
% 0.55/0.78 % (15829)Memory used [KB]: 1029
% 0.55/0.78 % (15829)Time elapsed: 0.002 s
% 0.55/0.78 % (15829)Instructions burned: 3 (million)
% 0.55/0.78 % (15829)------------------------------
% 0.55/0.78 % (15829)------------------------------
% 0.55/0.78 % (15824)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.55/0.78 % (15825)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)
% 0.55/0.78 % (15826)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)
% 0.55/0.78 % (15827)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)
% 0.55/0.78 % (15828)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)
% 0.55/0.78 % (15823)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)
% 0.55/0.78 % (15826)Refutation not found, incomplete strategy% (15826)------------------------------
% 0.55/0.78 % (15826)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.78 % (15827)Refutation not found, incomplete strategy% (15827)------------------------------
% 0.55/0.78 % (15827)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.78 % (15827)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78
% 0.55/0.78 % (15827)Memory used [KB]: 1028
% 0.55/0.78 % (15827)Time elapsed: 0.003 s
% 0.55/0.78 % (15827)Instructions burned: 3 (million)
% 0.55/0.78 % (15827)------------------------------
% 0.55/0.78 % (15827)------------------------------
% 0.55/0.78 % (15826)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78
% 0.55/0.78 % (15826)Memory used [KB]: 1032
% 0.55/0.78 % (15826)Time elapsed: 0.003 s
% 0.55/0.78 % (15826)Instructions burned: 3 (million)
% 0.55/0.78 % (15826)------------------------------
% 0.55/0.78 % (15826)------------------------------
% 0.55/0.78 % (15831)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 (2995ds/55Mi)
% 0.55/0.78 % (15832)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 (2995ds/50Mi)
% 0.55/0.78 % (15825)Refutation not found, incomplete strategy% (15825)------------------------------
% 0.55/0.78 % (15825)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.78 % (15825)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78
% 0.55/0.78 % (15825)Memory used [KB]: 1045
% 0.55/0.78 % (15825)Time elapsed: 0.004 s
% 0.55/0.78 % (15825)Instructions burned: 4 (million)
% 0.55/0.78 % (15825)------------------------------
% 0.55/0.78 % (15825)------------------------------
% 0.63/0.78 % (15828)First to succeed.
% 0.63/0.78 % (15832)Refutation not found, incomplete strategy% (15832)------------------------------
% 0.63/0.78 % (15832)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78 % (15832)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78
% 0.63/0.78 % (15832)Memory used [KB]: 1064
% 0.63/0.78 % (15832)Time elapsed: 0.003 s
% 0.63/0.78 % (15832)Instructions burned: 6 (million)
% 0.63/0.78 % (15832)------------------------------
% 0.63/0.78 % (15832)------------------------------
% 0.63/0.78 % (15824)Also succeeded, but the first one will report.
% 0.63/0.78 % (15828)Refutation found. Thanks to Tanya!
% 0.63/0.78 % SZS status Theorem for Vampire---4
% 0.63/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.78 % (15828)------------------------------
% 0.63/0.78 % (15828)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78 % (15828)Termination reason: Refutation
% 0.63/0.78
% 0.63/0.78 % (15828)Memory used [KB]: 1068
% 0.63/0.78 % (15828)Time elapsed: 0.006 s
% 0.63/0.78 % (15828)Instructions burned: 7 (million)
% 0.63/0.78 % (15828)------------------------------
% 0.63/0.78 % (15828)------------------------------
% 0.63/0.78 % (15799)Success in time 0.423 s
% 0.63/0.78 % Vampire---4.8 exiting
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