TSTP Solution File: NUM610+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM610+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : n029.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 03:32:28 EDT 2024
% Result : Theorem 0.60s 0.84s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 11 unt; 1 typ; 0 def)
% Number of atoms : 157 ( 3 equ)
% Maximal formula atoms : 9 ( 5 avg)
% Number of connectives : 137 ( 59 ~; 49 |; 22 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 49 ( 49 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 7 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 45 ( 40 !; 4 ?; 12 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_14,type,
sQ27_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f931,plain,
$false,
inference(subsumption_resolution,[],[f927,f372]) ).
tff(f372,plain,
aSubsetOf0(xQ,xO),
inference(cnf_transformation,[],[f100]) ).
tff(f100,axiom,
( ( slcrc0 != xQ )
& aSubsetOf0(xQ,xO) ),
file('/export/starexec/sandbox/tmp/tmp.XrDaISeIPr/Vampire---4.8_1460',m__5093) ).
tff(f927,plain,
~ aSubsetOf0(xQ,xO),
inference(resolution,[],[f926,f381]) ).
tff(f381,plain,
aSubsetOf0(xP,xQ),
inference(cnf_transformation,[],[f107]) ).
tff(f107,axiom,
aSubsetOf0(xP,xQ),
file('/export/starexec/sandbox/tmp/tmp.XrDaISeIPr/Vampire---4.8_1460',m__5195) ).
tff(f926,plain,
! [X0: $i] :
( ~ aSubsetOf0(xP,X0)
| ~ aSubsetOf0(X0,xO) ),
inference(subsumption_resolution,[],[f925,f377]) ).
tff(f377,plain,
aSet0(xP),
inference(cnf_transformation,[],[f104]) ).
tff(f104,axiom,
( ( xP = sdtmndt0(xQ,szmzizndt0(xQ)) )
& aSet0(xP) ),
file('/export/starexec/sandbox/tmp/tmp.XrDaISeIPr/Vampire---4.8_1460',m__5164) ).
tff(f925,plain,
! [X0: $i] :
( ~ aSubsetOf0(X0,xO)
| ~ aSubsetOf0(xP,X0)
| ~ aSet0(xP) ),
inference(subsumption_resolution,[],[f914,f363]) ).
tff(f363,plain,
aSet0(xO),
inference(cnf_transformation,[],[f95]) ).
tff(f95,axiom,
( ( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& aSet0(xO) ),
file('/export/starexec/sandbox/tmp/tmp.XrDaISeIPr/Vampire---4.8_1460',m__4891) ).
tff(f914,plain,
! [X0: $i] :
( ~ aSubsetOf0(X0,xO)
| ~ aSubsetOf0(xP,X0)
| ~ aSet0(xO)
| ~ aSet0(xP) ),
inference(resolution,[],[f906,f382]) ).
tff(f382,plain,
~ aSubsetOf0(xP,xO),
inference(cnf_transformation,[],[f110]) ).
tff(f110,plain,
~ aSubsetOf0(xP,xO),
inference(flattening,[],[f109]) ).
tff(f109,negated_conjecture,
~ aSubsetOf0(xP,xO),
inference(negated_conjecture,[],[f108]) ).
tff(f108,conjecture,
aSubsetOf0(xP,xO),
file('/export/starexec/sandbox/tmp/tmp.XrDaISeIPr/Vampire---4.8_1460',m__) ).
tff(f906,plain,
! [X2: $i,X0: $i,X1: $i] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f386,f390]) ).
tff(f390,plain,
! [X0: $i,X1: $i] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f254]) ).
tff(f254,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK10(X0,X1),X0)
& aElementOf0(sK10(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f252,f253]) ).
tff(f253,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK10(X0,X1),X0)
& aElementOf0(sK10(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f252,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f251]) ).
tff(f251,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f250]) ).
tff(f250,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f149]) ).
tff(f149,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.XrDaISeIPr/Vampire---4.8_1460',mDefSub) ).
tff(f386,plain,
! [X2: $i,X0: $i,X1: $i] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f143]) ).
tff(f143,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f142]) ).
tff(f142,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f14]) ).
tff(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X2)
& aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.XrDaISeIPr/Vampire---4.8_1460',mSubTrans) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11 % Problem : NUM610+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % 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
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 17:13:20 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33 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.XrDaISeIPr/Vampire---4.8_1460
% 0.60/0.83 % (1579)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)
% 0.60/0.83 % (1576)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)
% 0.60/0.83 % (1575)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)
% 0.60/0.83 % (1577)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.83 % (1580)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)
% 0.60/0.83 % (1578)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)
% 0.60/0.83 % (1581)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)
% 0.60/0.83 % (1582)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)
% 0.60/0.84 % (1575)First to succeed.
% 0.60/0.84 % (1579)Also succeeded, but the first one will report.
% 0.60/0.84 % (1577)Also succeeded, but the first one will report.
% 0.60/0.84 % (1575)Refutation found. Thanks to Tanya!
% 0.60/0.84 % SZS status Theorem for Vampire---4
% 0.60/0.84 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.84 % (1575)------------------------------
% 0.60/0.84 % (1575)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.84 % (1575)Termination reason: Refutation
% 0.60/0.84
% 0.60/0.84 % (1575)Memory used [KB]: 1404
% 0.60/0.84 % (1575)Time elapsed: 0.015 s
% 0.60/0.84 % (1575)Instructions burned: 25 (million)
% 0.60/0.84 % (1575)------------------------------
% 0.60/0.84 % (1575)------------------------------
% 0.60/0.84 % (1571)Success in time 0.502 s
% 0.60/0.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------