TSTP Solution File: ITP004+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP004+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 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 : n004.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 06:46:41 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 13 unt; 0 def)
% Number of atoms : 34 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 4 |; 2 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 45 ( 43 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f99,plain,
$false,
inference(subsumption_resolution,[],[f94,f53]) ).
fof(f53,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(sK0,sK3(sK0,c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK1)),sK1)),s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK1)))))),
inference(unit_resulting_resolution,[],[f42,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,sK3(X0,X1,X2)),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))))
<=> ! [X3] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X3),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X3),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))))
<=> ! [X3] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X3),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X3),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))) ) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X0,X14,X15] :
( p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X14),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X15))))
<=> ! [X4] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X4),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X14))))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X4),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X15)))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wgjAR2KSBy/Vampire---4.8_8096',thm_2Epred__set_2ESUBSET__DEF) ).
fof(f42,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK1))),s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK1)))),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
? [X0,X1] : ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
~ ! [X0,X1] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))),
inference(rectify,[],[f32]) ).
fof(f32,negated_conjecture,
~ ! [X0,X14] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X14))),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X14)))),
inference(negated_conjecture,[],[f31]) ).
fof(f31,conjecture,
! [X0,X14] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X14))),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X14)))),
file('/export/starexec/sandbox2/tmp/tmp.wgjAR2KSBy/Vampire---4.8_8096',thm_2Epred__set_2EREST__SUBSET) ).
fof(f94,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(sK0,sK3(sK0,c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK1)),sK1)),s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK1)))))),
inference(superposition,[],[f59,f46]) ).
fof(f46,plain,
! [X0,X1] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,c_2Epred__set_2ECHOICE_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,c_2Epred__set_2ECHOICE_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X0,X14] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X14))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X14),s(X0,c_2Epred__set_2ECHOICE_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X14))))),
file('/export/starexec/sandbox2/tmp/tmp.wgjAR2KSBy/Vampire---4.8_8096',thm_2Epred__set_2EREST__DEF) ).
fof(f59,plain,
! [X0] : ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(sK0,sK3(sK0,c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK1)),sK1)),s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK1),s(sK0,X0)))))),
inference(unit_resulting_resolution,[],[f54,f50]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3))))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2,X3] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3))))))
<=> ( s(X0,X3) != s(X0,X2)
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X0,X14,X11,X16] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X11),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X14),s(X0,X16))))))
<=> ( s(X0,X11) != s(X0,X16)
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X11),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X14)))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wgjAR2KSBy/Vampire---4.8_8096',thm_2Epred__set_2EIN__DELETE) ).
fof(f54,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(sK0,sK3(sK0,c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK1)),sK1)),s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK1)))),
inference(unit_resulting_resolution,[],[f42,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,sK3(X0,X1,X2)),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))))
| p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))) ),
inference(cnf_transformation,[],[f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ITP004+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.12/0.15 % 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
% 0.15/0.36 % Computer : n004.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 : Fri May 3 19:04:23 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.wgjAR2KSBy/Vampire---4.8_8096
% 0.56/0.75 % (8278)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)
% 0.56/0.75 % (8272)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)
% 0.56/0.75 % (8274)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (8275)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)
% 0.56/0.75 % (8273)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)
% 0.56/0.75 % (8277)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)
% 0.56/0.75 % (8276)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)
% 0.56/0.75 % (8278)First to succeed.
% 0.56/0.75 % (8278)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8270"
% 0.56/0.75 % (8277)Refutation not found, incomplete strategy% (8277)------------------------------
% 0.56/0.75 % (8277)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (8277)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (8277)Memory used [KB]: 1036
% 0.56/0.75 % (8277)Time elapsed: 0.003 s
% 0.56/0.75 % (8277)Instructions burned: 3 (million)
% 0.56/0.75 % (8278)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for Vampire---4
% 0.56/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75 % (8278)------------------------------
% 0.56/0.75 % (8278)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (8278)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (8278)Memory used [KB]: 1065
% 0.56/0.75 % (8278)Time elapsed: 0.004 s
% 0.56/0.75 % (8278)Instructions burned: 8 (million)
% 0.56/0.75 % (8270)Success in time 0.382 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------