TSTP Solution File: SEU746_8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU746_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/sandbox/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 03:54:45 EDT 2024
% Result : Theorem 0.57s 0.73s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 7 unt; 1 typ; 0 def)
% Number of atoms : 285 ( 34 equ)
% Maximal formula atoms : 18 ( 11 avg)
% Number of connectives : 171 ( 42 ~; 34 |; 51 &)
% ( 1 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 173 ( 140 fml; 33 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 66 ( 41 !; 25 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK3: $o ).
tff(f36,plain,
$false,
inference(unit_resulting_resolution,[],[f27,f28,f22,f29]) ).
tff(f29,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ in(X2,binunion(X0,X1))
| in(X2,X0)
| in(X2,X1) ),
inference(subsumption_resolution,[],[f26,f18]) ).
tff(f18,plain,
binunionE,
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( $true != sK3 )
& ( ( $true = sK3 )
| ~ in(sK4,sK2) )
& ( ( $true = sK3 )
| ~ in(sK4,sK1) )
& in(sK4,binunion(sK1,sK2))
& in(sK4,sK0)
& in(sK2,powerset(sK0))
& in(sK1,powerset(sK0))
& binunionE ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f11,f16,f15,f14]) ).
tff(f14,plain,
( ? [X0,X1] :
( ? [X2] :
( ? [X3: $o,X4] :
( ( $true != (X3) )
& ( ( $true = (X3) )
| ~ in(X4,X2) )
& ( ( $true = (X3) )
| ~ in(X4,X1) )
& in(X4,binunion(X1,X2))
& in(X4,X0) )
& in(X2,powerset(X0)) )
& in(X1,powerset(X0)) )
=> ( ? [X2] :
( ? [X4,X3: $o] :
( ( $true != (X3) )
& ( ( $true = (X3) )
| ~ in(X4,X2) )
& ( ( $true = (X3) )
| ~ in(X4,sK1) )
& in(X4,binunion(sK1,X2))
& in(X4,sK0) )
& in(X2,powerset(sK0)) )
& in(sK1,powerset(sK0)) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
( ? [X2] :
( ? [X4,X3: $o] :
( ( $true != (X3) )
& ( ( $true = (X3) )
| ~ in(X4,X2) )
& ( ( $true = (X3) )
| ~ in(X4,sK1) )
& in(X4,binunion(sK1,X2))
& in(X4,sK0) )
& in(X2,powerset(sK0)) )
=> ( ? [X4,X3: $o] :
( ( $true != (X3) )
& ( ( $true = (X3) )
| ~ in(X4,sK2) )
& ( ( $true = (X3) )
| ~ in(X4,sK1) )
& in(X4,binunion(sK1,sK2))
& in(X4,sK0) )
& in(sK2,powerset(sK0)) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
( ? [X4,X3: $o] :
( ( $true != (X3) )
& ( ( $true = (X3) )
| ~ in(X4,sK2) )
& ( ( $true = (X3) )
| ~ in(X4,sK1) )
& in(X4,binunion(sK1,sK2))
& in(X4,sK0) )
=> ( ( $true != sK3 )
& ( ( $true = sK3 )
| ~ in(sK4,sK2) )
& ( ( $true = sK3 )
| ~ in(sK4,sK1) )
& in(sK4,binunion(sK1,sK2))
& in(sK4,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f11,plain,
( ? [X0,X1] :
( ? [X2] :
( ? [X3: $o,X4] :
( ( $true != (X3) )
& ( ( $true = (X3) )
| ~ in(X4,X2) )
& ( ( $true = (X3) )
| ~ in(X4,X1) )
& in(X4,binunion(X1,X2))
& in(X4,X0) )
& in(X2,powerset(X0)) )
& in(X1,powerset(X0)) )
& binunionE ),
inference(flattening,[],[f10]) ).
tff(f10,plain,
( ? [X0,X1] :
( ? [X2] :
( ? [X3: $o,X4] :
( ( $true != (X3) )
& ( ( $true = (X3) )
| ~ in(X4,X2) )
& ( ( $true = (X3) )
| ~ in(X4,X1) )
& in(X4,binunion(X1,X2))
& in(X4,X0) )
& in(X2,powerset(X0)) )
& in(X1,powerset(X0)) )
& binunionE ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,plain,
~ ( binunionE
=> ! [X0,X1] :
( in(X1,powerset(X0))
=> ! [X2] :
( in(X2,powerset(X0))
=> ! [X3: $o,X4] :
( in(X4,X0)
=> ( in(X4,binunion(X1,X2))
=> ( ( in(X4,X1)
=> ( $true = (X3) ) )
=> ( ( in(X4,X2)
=> ( $true = (X3) ) )
=> ( $true = (X3) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f7]) ).
tff(f7,plain,
~ ( binunionE
=> ! [X0,X1] :
( in(X1,powerset(X0))
=> ! [X2] :
( in(X2,powerset(X0))
=> ! [X3: $o,X4] :
( in(X4,X0)
=> ( in(X4,binunion(X1,X2))
=> ( ( in(X4,X1)
=> (X3) )
=> ( ( in(X4,X2)
=> (X3) )
=> (X3) ) ) ) ) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,negated_conjecture,
~ ( binunionE
=> ! [X0,X3] :
( in(X3,powerset(X0))
=> ! [X4] :
( in(X4,powerset(X0))
=> ! [X5: $o,X2] :
( in(X2,X0)
=> ( in(X2,binunion(X3,X4))
=> ( ( in(X2,X3)
=> (X5) )
=> ( ( in(X2,X4)
=> (X5) )
=> (X5) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
( binunionE
=> ! [X0,X3] :
( in(X3,powerset(X0))
=> ! [X4] :
( in(X4,powerset(X0))
=> ! [X5: $o,X2] :
( in(X2,X0)
=> ( in(X2,binunion(X3,X4))
=> ( ( in(X2,X3)
=> (X5) )
=> ( ( in(X2,X4)
=> (X5) )
=> (X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.moUPhZLqTV/Vampire---4.8_31337',binunionTE) ).
tff(f26,plain,
! [X2: $i,X0: $i,X1: $i] :
( in(X2,X1)
| in(X2,X0)
| ~ in(X2,binunion(X0,X1))
| ~ binunionE ),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
( ! [X0,X1,X2] :
( in(X2,X1)
| in(X2,X0)
| ~ in(X2,binunion(X0,X1)) )
| ~ binunionE ),
inference(flattening,[],[f12]) ).
tff(f12,plain,
( ! [X0,X1,X2] :
( in(X2,X1)
| in(X2,X0)
| ~ in(X2,binunion(X0,X1)) )
| ~ binunionE ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,plain,
( binunionE
=> ! [X0,X1,X2] :
( in(X2,binunion(X0,X1))
=> ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
tff(f6,plain,
( binunionE
<=> ! [X0,X1,X2] :
( in(X2,binunion(X0,X1))
=> ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(fool_elimination,[],[f1]) ).
tff(f1,axiom,
( binunionE
= ( ! [X0,X1,X2] :
( in(X2,binunion(X0,X1))
=> ( in(X2,X1)
| in(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.moUPhZLqTV/Vampire---4.8_31337',binunionE) ).
tff(f22,plain,
in(sK4,binunion(sK1,sK2)),
inference(cnf_transformation,[],[f17]) ).
tff(f28,plain,
~ in(sK4,sK1),
inference(subsumption_resolution,[],[f23,f25]) ).
tff(f25,plain,
$true != sK3,
inference(cnf_transformation,[],[f17]) ).
tff(f23,plain,
( ( $true = sK3 )
| ~ in(sK4,sK1) ),
inference(cnf_transformation,[],[f17]) ).
tff(f27,plain,
~ in(sK4,sK2),
inference(subsumption_resolution,[],[f24,f25]) ).
tff(f24,plain,
( ( $true = sK3 )
| ~ in(sK4,sK2) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU746_8 : TPTP v8.1.2. Released v8.0.0.
% 0.06/0.14 % 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
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 16:07:06 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TX0_THM_EQU_NAR problem
% 0.13/0.36 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.moUPhZLqTV/Vampire---4.8_31337
% 0.57/0.73 % (31806)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)
% 0.57/0.73 % (31806)Refutation not found, incomplete strategy% (31806)------------------------------
% 0.57/0.73 % (31806)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.73 % (31806)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73
% 0.57/0.73 % (31806)Memory used [KB]: 949
% 0.57/0.73 % (31806)Time elapsed: 0.002 s
% 0.57/0.73 % (31806)Instructions burned: 2 (million)
% 0.57/0.73 % (31806)------------------------------
% 0.57/0.73 % (31806)------------------------------
% 0.57/0.73 % (31802)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.73 % (31803)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)
% 0.57/0.73 % (31801)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)
% 0.57/0.73 % (31804)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)
% 0.57/0.73 % (31805)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)
% 0.57/0.73 % (31807)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)
% 0.57/0.73 % (31803)First to succeed.
% 0.57/0.73 % (31807)Also succeeded, but the first one will report.
% 0.57/0.73 % (31800)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)
% 0.57/0.73 % (31802)Also succeeded, but the first one will report.
% 0.57/0.73 % (31803)Refutation found. Thanks to Tanya!
% 0.57/0.73 % SZS status Theorem for Vampire---4
% 0.57/0.73 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.73 % (31803)------------------------------
% 0.57/0.73 % (31803)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.73 % (31803)Termination reason: Refutation
% 0.57/0.73
% 0.57/0.73 % (31803)Memory used [KB]: 963
% 0.57/0.73 % (31803)Time elapsed: 0.004 s
% 0.57/0.73 % (31803)Instructions burned: 4 (million)
% 0.57/0.73 % (31803)------------------------------
% 0.57/0.73 % (31803)------------------------------
% 0.57/0.73 % (31626)Success in time 0.373 s
% 0.57/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------