TSTP Solution File: NUM615+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM615+3 : 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 : 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 03:32:30 EDT 2024
% Result : Theorem 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 5 unt; 1 typ; 0 def)
% Number of atoms : 144 ( 13 equ)
% Maximal formula atoms : 4 ( 9 avg)
% Number of connectives : 32 ( 13 ~; 8 |; 9 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 109 ( 109 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 15 ( 10 !; 4 ?; 10 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_35,type,
sQ71_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f1177,plain,
$false,
inference(subsumption_resolution,[],[f1176,f1041]) ).
tff(f1041,plain,
sQ71_eqProxy($i,xp,sdtlpdtrp0(xe,sK53)),
inference(equality_proxy_replacement,[],[f763,f956]) ).
tff(f956,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ71_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ71_eqProxy])]) ).
tff(f763,plain,
xp = sdtlpdtrp0(xe,sK53),
inference(cnf_transformation,[],[f422]) ).
tff(f422,plain,
( ( xp = sdtlpdtrp0(xe,sK53) )
& aElementOf0(sK53,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53])],[f106,f421]) ).
tff(f421,plain,
( ? [X0] :
( ( sdtlpdtrp0(xe,X0) = xp )
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
=> ( ( xp = sdtlpdtrp0(xe,sK53) )
& aElementOf0(sK53,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
introduced(choice_axiom,[]) ).
tff(f106,axiom,
? [X0] :
( ( sdtlpdtrp0(xe,X0) = xp )
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/tmp/tmp.tYOqyMeHu4/Vampire---4.8_14821',m__5182) ).
tff(f1176,plain,
~ sQ71_eqProxy($i,xp,sdtlpdtrp0(xe,sK53)),
inference(resolution,[],[f1170,f762]) ).
tff(f762,plain,
aElementOf0(sK53,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f422]) ).
tff(f1170,plain,
! [X0: $i] :
( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ sQ71_eqProxy($i,xp,sdtlpdtrp0(xe,X0)) ),
inference(resolution,[],[f1097,f1043]) ).
tff(f1043,plain,
! [X0: $i] :
( ~ sQ71_eqProxy($i,sdtlpdtrp0(xe,X0),xp)
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(equality_proxy_replacement,[],[f771,f956]) ).
tff(f771,plain,
! [X0: $i] :
( ( sdtlpdtrp0(xe,X0) != xp )
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[],[f173]) ).
tff(f173,plain,
! [X0] :
( ( sdtlpdtrp0(xe,X0) != xp )
| ( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ( ( sdtlpdtrp0(xd,X0) != szDzizrdt0(xd) )
| ~ aElementOf0(X0,szDzozmdt0(xd)) ) ) ),
inference(ennf_transformation,[],[f112]) ).
tff(f112,negated_conjecture,
~ ? [X0] :
( ( sdtlpdtrp0(xe,X0) = xp )
& ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) )
& aElementOf0(X0,szDzozmdt0(xd)) ) ) ),
inference(negated_conjecture,[],[f111]) ).
tff(f111,conjecture,
? [X0] :
( ( sdtlpdtrp0(xe,X0) = xp )
& ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) )
& aElementOf0(X0,szDzozmdt0(xd)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.tYOqyMeHu4/Vampire---4.8_14821',m__) ).
tff(f1097,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ71_eqProxy(X0,X2,X1)
| ~ sQ71_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f956]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM615+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % 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
% 0.15/0.36 % Computer : n009.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 16:47:41 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.tYOqyMeHu4/Vampire---4.8_14821
% 0.54/0.75 % (15083)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)
% 0.54/0.75 % (15080)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)
% 0.54/0.75 % (15078)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)
% 0.54/0.75 % (15077)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)
% 0.54/0.75 % (15081)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)
% 0.54/0.75 % (15082)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)
% 0.54/0.75 % (15084)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)
% 0.54/0.76 % (15079)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76 % (15077)First to succeed.
% 0.60/0.77 % (15080)Instruction limit reached!
% 0.60/0.77 % (15080)------------------------------
% 0.60/0.77 % (15080)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (15080)Termination reason: Unknown
% 0.60/0.77 % (15080)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (15080)Memory used [KB]: 1726
% 0.60/0.77 % (15080)Time elapsed: 0.019 s
% 0.60/0.77 % (15080)Instructions burned: 34 (million)
% 0.60/0.77 % (15080)------------------------------
% 0.60/0.77 % (15080)------------------------------
% 0.60/0.77 % (15081)Instruction limit reached!
% 0.60/0.77 % (15081)------------------------------
% 0.60/0.77 % (15081)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (15081)Termination reason: Unknown
% 0.60/0.77 % (15081)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (15081)Memory used [KB]: 1869
% 0.60/0.77 % (15081)Time elapsed: 0.019 s
% 0.60/0.77 % (15081)Instructions burned: 35 (million)
% 0.60/0.77 % (15081)------------------------------
% 0.60/0.77 % (15081)------------------------------
% 0.60/0.77 % (15077)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Theorem for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (15077)------------------------------
% 0.60/0.77 % (15077)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (15077)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (15077)Memory used [KB]: 1652
% 0.60/0.77 % (15077)Time elapsed: 0.018 s
% 0.60/0.77 % (15077)Instructions burned: 31 (million)
% 0.60/0.77 % (15077)------------------------------
% 0.60/0.77 % (15077)------------------------------
% 0.60/0.77 % (15073)Success in time 0.383 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------