TSTP Solution File: NUM617+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM617+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 : n014.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 : Sun May 5 08:13:30 EDT 2024
% Result : Theorem 0.60s 0.80s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 16 unt; 1 typ; 0 def)
% Number of atoms : 153 ( 2 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 110 ( 49 ~; 37 |; 19 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 58 ( 58 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 9 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 35 ( 30 !; 4 ?; 11 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_14,type,
sQ27_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f799,plain,
$false,
inference(subsumption_resolution,[],[f798,f700]) ).
tff(f700,plain,
aSet0(xQ),
inference(subsumption_resolution,[],[f691,f371]) ).
tff(f371,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.LpMIdaHWBC/Vampire---4.8_25183',m__4891) ).
tff(f691,plain,
( aSet0(xQ)
| ~ aSet0(xO) ),
inference(resolution,[],[f410,f380]) ).
tff(f380,plain,
aSubsetOf0(xQ,xO),
inference(cnf_transformation,[],[f100]) ).
tff(f100,axiom,
( ( slcrc0 != xQ )
& aSubsetOf0(xQ,xO) ),
file('/export/starexec/sandbox/tmp/tmp.LpMIdaHWBC/Vampire---4.8_25183',m__5093) ).
tff(f410,plain,
! [X0: $i,X1: $i] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f264]) ).
tff(f264,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK11(X0,X1),X0)
& aElementOf0(sK11(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,[sK11])],[f262,f263]) ).
tff(f263,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK11(X0,X1),X0)
& aElementOf0(sK11(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f262,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,[],[f261]) ).
tff(f261,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,[],[f260]) ).
tff(f260,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,[],[f159]) ).
tff(f159,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.LpMIdaHWBC/Vampire---4.8_25183',mDefSub) ).
tff(f798,plain,
~ aSet0(xQ),
inference(subsumption_resolution,[],[f793,f382]) ).
tff(f382,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(cnf_transformation,[],[f101]) ).
tff(f101,axiom,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmp.LpMIdaHWBC/Vampire---4.8_25183',m__5106) ).
tff(f793,plain,
( ~ aSubsetOf0(xQ,szNzAzT0)
| ~ aSet0(xQ) ),
inference(resolution,[],[f790,f389]) ).
tff(f389,plain,
aSubsetOf0(xP,xQ),
inference(cnf_transformation,[],[f107]) ).
tff(f107,axiom,
aSubsetOf0(xP,xQ),
file('/export/starexec/sandbox/tmp/tmp.LpMIdaHWBC/Vampire---4.8_25183',m__5195) ).
tff(f790,plain,
! [X0: $i] :
( ~ aSubsetOf0(xP,X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSet0(X0) ),
inference(resolution,[],[f763,f397]) ).
tff(f397,plain,
aElementOf0(xx,xP),
inference(cnf_transformation,[],[f113]) ).
tff(f113,axiom,
aElementOf0(xx,xP),
file('/export/starexec/sandbox/tmp/tmp.LpMIdaHWBC/Vampire---4.8_25183',m__5348) ).
tff(f763,plain,
! [X0: $i,X1: $i] :
( ~ aElementOf0(xx,X1)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f759,f411]) ).
tff(f411,plain,
! [X3: $i,X0: $i,X1: $i] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f264]) ).
tff(f759,plain,
! [X0: $i] :
( ~ aElementOf0(xx,X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f755,f404]) ).
tff(f404,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
tff(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.LpMIdaHWBC/Vampire---4.8_25183',mNATSet) ).
tff(f755,plain,
! [X0: $i] :
( ~ aElementOf0(xx,X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f411,f398]) ).
tff(f398,plain,
~ aElementOf0(xx,szNzAzT0),
inference(cnf_transformation,[],[f116]) ).
tff(f116,plain,
~ aElementOf0(xx,szNzAzT0),
inference(flattening,[],[f115]) ).
tff(f115,negated_conjecture,
~ aElementOf0(xx,szNzAzT0),
inference(negated_conjecture,[],[f114]) ).
tff(f114,conjecture,
aElementOf0(xx,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmp.LpMIdaHWBC/Vampire---4.8_25183',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM617+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15 % 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
% 0.16/0.36 % Computer : n014.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 14:05:53 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36 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.LpMIdaHWBC/Vampire---4.8_25183
% 0.60/0.78 % (25528)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)
% 0.60/0.78 % (25524)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)
% 0.60/0.78 % (25525)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)
% 0.60/0.78 % (25526)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78 % (25527)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)
% 0.60/0.78 % (25529)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)
% 0.60/0.78 % (25531)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)
% 0.60/0.78 % (25530)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)
% 0.60/0.79 % (25524)First to succeed.
% 0.60/0.79 % (25528)Instruction limit reached!
% 0.60/0.79 % (25528)------------------------------
% 0.60/0.79 % (25528)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (25528)Termination reason: Unknown
% 0.60/0.79 % (25528)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (25528)Memory used [KB]: 1754
% 0.60/0.79 % (25528)Time elapsed: 0.013 s
% 0.60/0.79 % (25528)Instructions burned: 36 (million)
% 0.60/0.79 % (25528)------------------------------
% 0.60/0.79 % (25528)------------------------------
% 0.60/0.79 % (25524)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25432"
% 0.60/0.80 % (25524)Refutation found. Thanks to Tanya!
% 0.60/0.80 % SZS status Theorem for Vampire---4
% 0.60/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80 % (25524)------------------------------
% 0.60/0.80 % (25524)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (25524)Termination reason: Refutation
% 0.60/0.80
% 0.60/0.80 % (25524)Memory used [KB]: 1374
% 0.60/0.80 % (25524)Time elapsed: 0.013 s
% 0.60/0.80 % (25524)Instructions burned: 20 (million)
% 0.60/0.80 % (25432)Success in time 0.415 s
% 0.60/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------