TSTP Solution File: SEU633_8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU633_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 : n024.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 03:54:22 EDT 2024
% Result : Theorem 0.59s 0.81s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 9 unt; 1 typ; 0 def)
% Number of atoms : 179 ( 31 equ)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 116 ( 39 ~; 32 |; 19 &)
% ( 1 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 118 ( 74 fml; 44 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 1 >; 2 *; 0 +; 0 <<)
% Number of predicates : 8 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 3-3 aty)
% Number of variables : 73 ( 63 !; 10 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK2: ( $i * $i * $o ) > $i ).
tff(f57,plain,
$false,
inference(subsumption_resolution,[],[f55,f50]) ).
tff(f50,plain,
! [X0: $o,X1: $o] : ( (X0) = (X1) ),
inference(superposition,[],[f37,f37]) ).
tff(f37,plain,
! [X0: $o] : ( $true = (X0) ),
inference(subsumption_resolution,[],[f36,f5]) ).
tff(f5,plain,
! [X0: $o] :
( ( $false = (X0) )
| ( $true = (X0) ) ),
introduced(fool_axiom,[]) ).
tff(f36,plain,
! [X0: $o] :
( ( $false != (X0) )
| ( $true = (X0) ) ),
inference(subsumption_resolution,[],[f35,f18]) ).
tff(f18,plain,
in(sK1,setunion(sK0)),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
( ! [X2] :
( ~ in(sK1,X2)
| ~ in(X2,sK0) )
& in(sK1,setunion(sK0))
& setunionE ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f13]) ).
tff(f13,plain,
( ? [X0,X1] :
( ! [X2] :
( ~ in(X1,X2)
| ~ in(X2,X0) )
& in(X1,setunion(X0)) )
=> ( ! [X2] :
( ~ in(sK1,X2)
| ~ in(X2,sK0) )
& in(sK1,setunion(sK0)) ) ),
introduced(choice_axiom,[]) ).
tff(f10,plain,
( ? [X0,X1] :
( ! [X2] :
( ~ in(X1,X2)
| ~ in(X2,X0) )
& in(X1,setunion(X0)) )
& setunionE ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,plain,
~ ( setunionE
=> ! [X0,X1] :
( in(X1,setunion(X0))
=> ? [X2] :
( in(X1,X2)
& in(X2,X0) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,negated_conjecture,
~ ( setunionE
=> ! [X0,X1] :
( in(X1,setunion(X0))
=> ? [X4] :
( in(X1,X4)
& in(X4,X0) ) ) ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
( setunionE
=> ! [X0,X1] :
( in(X1,setunion(X0))
=> ? [X4] :
( in(X1,X4)
& in(X4,X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rhjTgcQlzl/Vampire---4.8_14758',setunionE2) ).
tff(f35,plain,
! [X0: $o] :
( ( $false != (X0) )
| ( $true = (X0) )
| ~ in(sK1,setunion(sK0)) ),
inference(resolution,[],[f33,f25]) ).
tff(f25,plain,
! [X2: $o,X0: $i,X1: $i] :
( in(X1,sK2(X0,X1,(X2)))
| ( $true = (X2) )
| ~ in(X1,setunion(X0)) ),
inference(subsumption_resolution,[],[f20,f17]) ).
tff(f17,plain,
setunionE,
inference(cnf_transformation,[],[f14]) ).
tff(f20,plain,
! [X2: $o,X0: $i,X1: $i] :
( ( $true = (X2) )
| in(X1,sK2(X0,X1,(X2)))
| ~ in(X1,setunion(X0))
| ~ setunionE ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ! [X0,X1] :
( ! [X2: $o] :
( ( $true = (X2) )
| ( ( $true != (X2) )
& in(sK2(X0,X1,(X2)),X0)
& in(X1,sK2(X0,X1,(X2))) ) )
| ~ in(X1,setunion(X0)) )
| ~ setunionE ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f12,f15]) ).
tff(f15,plain,
! [X0,X1,X2: $o] :
( ? [X3] :
( ( $true != (X2) )
& in(X3,X0)
& in(X1,X3) )
=> ( ( $true != (X2) )
& in(sK2(X0,X1,(X2)),X0)
& in(X1,sK2(X0,X1,(X2))) ) ),
introduced(choice_axiom,[]) ).
tff(f12,plain,
( ! [X0,X1] :
( ! [X2: $o] :
( ( $true = (X2) )
| ? [X3] :
( ( $true != (X2) )
& in(X3,X0)
& in(X1,X3) ) )
| ~ in(X1,setunion(X0)) )
| ~ setunionE ),
inference(flattening,[],[f11]) ).
tff(f11,plain,
( ! [X0,X1] :
( ! [X2: $o] :
( ( $true = (X2) )
| ? [X3] :
( ( $true != (X2) )
& in(X3,X0)
& in(X1,X3) ) )
| ~ in(X1,setunion(X0)) )
| ~ setunionE ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,plain,
( setunionE
=> ! [X0,X1] :
( in(X1,setunion(X0))
=> ! [X2: $o] :
( ! [X3] :
( in(X1,X3)
=> ( in(X3,X0)
=> ( $true = (X2) ) ) )
=> ( $true = (X2) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
tff(f7,plain,
( setunionE
<=> ! [X0,X1] :
( in(X1,setunion(X0))
=> ! [X2: $o] :
( ! [X3] :
( in(X1,X3)
=> ( in(X3,X0)
=> ( $true = (X2) ) ) )
=> ( $true = (X2) ) ) ) ),
inference(fool_elimination,[],[f6]) ).
tff(f6,plain,
( setunionE
= ( ! [X0,X1] :
( in(X1,setunion(X0))
=> ! [X2: $o] :
( ! [X3] :
( in(X1,X3)
=> ( in(X3,X0)
=> (X2) ) )
=> (X2) ) ) ) ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
( setunionE
= ( ! [X0,X1] :
( in(X1,setunion(X0))
=> ! [X2: $o] :
( ! [X3] :
( in(X1,X3)
=> ( in(X3,X0)
=> (X2) ) )
=> (X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rhjTgcQlzl/Vampire---4.8_14758',setunionE) ).
tff(f33,plain,
! [X0: $o] :
( ~ in(sK1,sK2(sK0,sK1,(X0)))
| ( $false != (X0) ) ),
inference(resolution,[],[f28,f19]) ).
tff(f19,plain,
! [X2: $i] :
( ~ in(X2,sK0)
| ~ in(sK1,X2) ),
inference(cnf_transformation,[],[f14]) ).
tff(f28,plain,
! [X0: $o] :
( in(sK2(sK0,sK1,(X0)),sK0)
| ( $false != (X0) ) ),
inference(resolution,[],[f27,f18]) ).
tff(f27,plain,
! [X2: $i,X0: $o,X1: $i] :
( ~ in(X2,setunion(X1))
| in(sK2(X1,X2,(X0)),X1)
| ( $false != (X0) ) ),
inference(superposition,[],[f4,f24]) ).
tff(f24,plain,
! [X2: $o,X0: $i,X1: $i] :
( ( $true = (X2) )
| in(sK2(X0,X1,(X2)),X0)
| ~ in(X1,setunion(X0)) ),
inference(subsumption_resolution,[],[f21,f17]) ).
tff(f21,plain,
! [X2: $o,X0: $i,X1: $i] :
( ( $true = (X2) )
| in(sK2(X0,X1,(X2)),X0)
| ~ in(X1,setunion(X0))
| ~ setunionE ),
inference(cnf_transformation,[],[f16]) ).
tff(f4,plain,
$true != $false,
introduced(fool_axiom,[]) ).
tff(f55,plain,
! [X0: $o] : ( $false != (X0) ),
inference(superposition,[],[f4,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SEU633_8 : TPTP v8.1.2. Released v8.0.0.
% 0.08/0.11 % 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
% 0.10/0.31 % Computer : n024.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 16:16:21 EDT 2024
% 0.15/0.31 % CPUTime :
% 0.15/0.31 This is a TX0_THM_EQU_NAR problem
% 0.15/0.31 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.rhjTgcQlzl/Vampire---4.8_14758
% 0.59/0.80 % (14873)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.80 % (14874)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)
% 0.59/0.80 % (14871)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)
% 0.59/0.80 % (14872)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)
% 0.59/0.80 % (14875)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)
% 0.59/0.80 % (14876)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)
% 0.59/0.80 % (14877)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)
% 0.59/0.80 % (14878)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)
% 0.59/0.80 % (14877)Refutation not found, incomplete strategy% (14877)------------------------------
% 0.59/0.80 % (14877)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.80 % (14875)Refutation not found, incomplete strategy% (14875)------------------------------
% 0.59/0.80 % (14875)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.80 % (14875)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80
% 0.59/0.80 % (14875)Memory used [KB]: 955
% 0.59/0.80 % (14875)Time elapsed: 0.003 s
% 0.59/0.80 % (14875)Instructions burned: 2 (million)
% 0.59/0.80 % (14875)------------------------------
% 0.59/0.80 % (14875)------------------------------
% 0.59/0.80 % (14877)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80
% 0.59/0.80 % (14877)Memory used [KB]: 948
% 0.59/0.80 % (14877)Time elapsed: 0.003 s
% 0.59/0.80 % (14874)Refutation not found, incomplete strategy% (14874)------------------------------
% 0.59/0.80 % (14874)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.80 % (14874)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80
% 0.59/0.80 % (14874)Memory used [KB]: 953
% 0.59/0.80 % (14874)Time elapsed: 0.003 s
% 0.59/0.80 % (14874)Instructions burned: 2 (million)
% 0.59/0.80 % (14874)------------------------------
% 0.59/0.80 % (14874)------------------------------
% 0.59/0.80 % (14877)Instructions burned: 2 (million)
% 0.59/0.80 % (14877)------------------------------
% 0.59/0.80 % (14877)------------------------------
% 0.59/0.80 % (14876)Refutation not found, incomplete strategy% (14876)------------------------------
% 0.59/0.80 % (14876)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.80 % (14876)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80
% 0.59/0.80 % (14876)Memory used [KB]: 968
% 0.59/0.80 % (14876)Time elapsed: 0.003 s
% 0.59/0.80 % (14876)Instructions burned: 2 (million)
% 0.59/0.80 % (14876)------------------------------
% 0.59/0.80 % (14876)------------------------------
% 0.59/0.80 % (14871)Refutation not found, incomplete strategy% (14871)------------------------------
% 0.59/0.80 % (14871)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.80 % (14871)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80
% 0.59/0.80 % (14871)Memory used [KB]: 971
% 0.59/0.80 % (14871)Time elapsed: 0.003 s
% 0.59/0.80 % (14871)Instructions burned: 3 (million)
% 0.59/0.80 % (14871)------------------------------
% 0.59/0.80 % (14871)------------------------------
% 0.59/0.80 % (14878)Refutation not found, incomplete strategy% (14878)------------------------------
% 0.59/0.80 % (14878)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.80 % (14878)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80
% 0.59/0.80 % (14878)Memory used [KB]: 953
% 0.59/0.80 % (14878)Time elapsed: 0.003 s
% 0.59/0.80 % (14878)Instructions burned: 2 (million)
% 0.59/0.80 % (14878)------------------------------
% 0.59/0.80 % (14878)------------------------------
% 0.59/0.80 % (14873)First to succeed.
% 0.59/0.81 % (14872)Also succeeded, but the first one will report.
% 0.59/0.81 % (14873)Refutation found. Thanks to Tanya!
% 0.59/0.81 % SZS status Theorem for Vampire---4
% 0.59/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.81 % (14873)------------------------------
% 0.66/0.81 % (14873)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.81 % (14873)Termination reason: Refutation
% 0.66/0.81
% 0.66/0.81 % (14873)Memory used [KB]: 979
% 0.66/0.81 % (14873)Time elapsed: 0.005 s
% 0.66/0.81 % (14873)Instructions burned: 4 (million)
% 0.66/0.81 % (14873)------------------------------
% 0.66/0.81 % (14873)------------------------------
% 0.66/0.81 % (14868)Success in time 0.487 s
% 0.66/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------