TSTP Solution File: HWV023-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : HWV023-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n028.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 : Thu Aug 31 02:33:10 EDT 2023
% Result : Unsatisfiable 0.28s 0.73s
% Output : Refutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of formulae : 50 ( 31 unt; 0 def)
% Number of atoms : 84 ( 35 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 56 ( 22 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 18 (; 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2548,plain,
$false,
inference(subsumption_resolution,[],[f2547,f198]) ).
fof(f198,plain,
n0 != fwork_DOTfifo_DOTrtl_DOTint__level_(sF4),
inference(subsumption_resolution,[],[f197,f155]) ).
fof(f155,plain,
~ p__pred_(sF5),
inference(definition_folding,[],[f138,f154,f153]) ).
fof(f153,plain,
f_ADD_(t_206,n1) = sF4,
introduced(function_definition,[]) ).
fof(f154,plain,
fwork_DOTfifo_DOTrtl_DOTempty_(sF4) = sF5,
introduced(function_definition,[]) ).
fof(f138,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/tmp/tmp.4f7O6Eau8C/Vampire---4.8_20479',quest_5) ).
fof(f197,plain,
( p__pred_(sF5)
| n0 != fwork_DOTfifo_DOTrtl_DOTint__level_(sF4) ),
inference(superposition,[],[f7,f154]) ).
fof(f7,axiom,
! [X4] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X4))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X4) != n0 ),
file('/export/starexec/sandbox2/tmp/tmp.4f7O6Eau8C/Vampire---4.8_20479',axiom_8) ).
fof(f2547,plain,
n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(sF4),
inference(forward_demodulation,[],[f2546,f153]) ).
fof(f2546,plain,
n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
inference(forward_demodulation,[],[f2545,f716]) ).
fof(f716,plain,
n0 = f_SUB_(n1,n1),
inference(subsumption_resolution,[],[f713,f188]) ).
fof(f188,plain,
~ p_LES_EQU_(n1,n0),
inference(superposition,[],[f59,f76]) ).
fof(f76,axiom,
! [X51] : f_ADD_(n0,X51) = X51,
file('/export/starexec/sandbox2/tmp/tmp.4f7O6Eau8C/Vampire---4.8_20479',axiom_77) ).
fof(f59,axiom,
! [X28] : ~ p_LES_EQU_(f_ADD_(X28,n1),n0),
file('/export/starexec/sandbox2/tmp/tmp.4f7O6Eau8C/Vampire---4.8_20479',axiom_60) ).
fof(f713,plain,
( n0 = f_SUB_(n1,n1)
| p_LES_EQU_(n1,n0) ),
inference(resolution,[],[f680,f60]) ).
fof(f60,axiom,
! [X29] :
( ~ p_LES_EQU_(X29,f_SUB_(X29,n1))
| p_LES_EQU_(X29,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.4f7O6Eau8C/Vampire---4.8_20479',axiom_61) ).
fof(f680,plain,
! [X10] :
( p_LES_EQU_(n1,X10)
| n0 = X10 ),
inference(subsumption_resolution,[],[f648,f356]) ).
fof(f356,plain,
! [X6] :
( p_LES_EQU_(n0,X6)
| n0 = X6 ),
inference(resolution,[],[f351,f72]) ).
fof(f72,axiom,
! [X46] :
( ~ p_LES_EQU_(X46,n0)
| n0 = X46 ),
file('/export/starexec/sandbox2/tmp/tmp.4f7O6Eau8C/Vampire---4.8_20479',axiom_73) ).
fof(f351,plain,
! [X0,X1] :
( p_LES_EQU_(X0,X1)
| p_LES_EQU_(X1,X0) ),
inference(resolution,[],[f70,f74]) ).
fof(f74,axiom,
! [X48] : p_LES_EQU_(X48,X48),
file('/export/starexec/sandbox2/tmp/tmp.4f7O6Eau8C/Vampire---4.8_20479',axiom_75) ).
fof(f70,axiom,
! [X41,X42,X43] :
( ~ p_LES_EQU_(X41,X42)
| p_LES_EQU_(X41,X43)
| p_LES_EQU_(X43,X42) ),
file('/export/starexec/sandbox2/tmp/tmp.4f7O6Eau8C/Vampire---4.8_20479',axiom_71) ).
fof(f648,plain,
! [X10] :
( p_LES_EQU_(n1,X10)
| n0 = X10
| ~ p_LES_EQU_(n0,X10) ),
inference(superposition,[],[f68,f77]) ).
fof(f77,axiom,
n1 = f_ADD_(n0,n1),
file('/export/starexec/sandbox2/tmp/tmp.4f7O6Eau8C/Vampire---4.8_20479',axiom_78) ).
fof(f68,axiom,
! [X38,X37] :
( p_LES_EQU_(f_ADD_(X37,n1),X38)
| X37 = X38
| ~ p_LES_EQU_(X37,X38) ),
file('/export/starexec/sandbox2/tmp/tmp.4f7O6Eau8C/Vampire---4.8_20479',axiom_69) ).
fof(f2545,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(n1,n1),
inference(forward_demodulation,[],[f2544,f156]) ).
fof(f156,plain,
n1 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
inference(backward_demodulation,[],[f151,f152]) ).
fof(f152,plain,
n1 = sF3,
inference(definition_folding,[],[f139,f151]) ).
fof(f139,plain,
n1 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
inference(definition_unfolding,[],[f134,f4]) ).
fof(f4,axiom,
! [X1] : fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
file('/export/starexec/sandbox2/tmp/tmp.4f7O6Eau8C/Vampire---4.8_20479',axiom_5) ).
fof(f134,axiom,
n1 = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),
file('/export/starexec/sandbox2/tmp/tmp.4f7O6Eau8C/Vampire---4.8_20479',quest_1) ).
fof(f151,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = sF3,
introduced(function_definition,[]) ).
fof(f2544,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1),
inference(subsumption_resolution,[],[f2543,f188]) ).
fof(f2543,plain,
( p_LES_EQU_(n1,n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(forward_demodulation,[],[f2542,f156]) ).
fof(f2542,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(subsumption_resolution,[],[f2541,f150]) ).
fof(f150,plain,
p__pred_(sF2),
inference(definition_folding,[],[f135,f149]) ).
fof(f149,plain,
fwork_DOTfifo_DOTrtl_DOTrd_(t_206) = sF2,
introduced(function_definition,[]) ).
fof(f135,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox2/tmp/tmp.4f7O6Eau8C/Vampire---4.8_20479',quest_2) ).
fof(f2541,plain,
( ~ p__pred_(sF2)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(forward_demodulation,[],[f2540,f149]) ).
fof(f2540,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(subsumption_resolution,[],[f2539,f146]) ).
fof(f146,plain,
~ p__pred_(sF0),
inference(definition_folding,[],[f137,f145]) ).
fof(f145,plain,
fwork_DOTfifo_DOTrtl_DOTwr_(t_206) = sF0,
introduced(function_definition,[]) ).
fof(f137,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox2/tmp/tmp.4f7O6Eau8C/Vampire---4.8_20479',quest_4) ).
fof(f2539,plain,
( p__pred_(sF0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(forward_demodulation,[],[f2538,f145]) ).
fof(f2538,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(subsumption_resolution,[],[f2535,f148]) ).
fof(f148,plain,
~ p__pred_(sF1),
inference(definition_folding,[],[f136,f147]) ).
fof(f147,plain,
fwork_DOTfifo_DOTrtl_DOTreset_(t_206) = sF1,
introduced(function_definition,[]) ).
fof(f136,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox2/tmp/tmp.4f7O6Eau8C/Vampire---4.8_20479',quest_3) ).
fof(f2535,plain,
( p__pred_(sF1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(superposition,[],[f42,f147]) ).
fof(f42,axiom,
! [X10] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n1) ),
file('/export/starexec/sandbox2/tmp/tmp.4f7O6Eau8C/Vampire---4.8_20479',axiom_43) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.33 % Problem : HWV023-2 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.35 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.56 % Computer : n028.cluster.edu
% 0.15/0.56 % Model : x86_64 x86_64
% 0.15/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.56 % Memory : 8042.1875MB
% 0.15/0.56 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.56 % CPULimit : 300
% 0.15/0.56 % WCLimit : 300
% 0.15/0.56 % DateTime : Tue Aug 29 15:56:11 EDT 2023
% 0.15/0.56 % CPUTime :
% 0.15/0.56 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.57 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.4f7O6Eau8C/Vampire---4.8_20479
% 0.15/0.57 % (20628)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.63 % (20629)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.23/0.63 % (20632)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.63 % (20631)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.23/0.63 % (20636)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.64 % (20633)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.64 % (20630)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.64 % (20635)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.23/0.64 % (20636)Refutation not found, incomplete strategy% (20636)------------------------------
% 0.23/0.64 % (20636)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.64 % (20636)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.64 % (20636)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.64
% 0.23/0.64 % (20636)Memory used [KB]: 5628
% 0.23/0.64 % (20636)Time elapsed: 0.004 s
% 0.23/0.64 % (20636)------------------------------
% 0.23/0.64 % (20636)------------------------------
% 0.28/0.70 % (20637)lrs-11_32_amm=off:bce=on:cond=on:er=filter:fsd=off:fde=none:gs=on:gsem=on:lcm=reverse:nm=4:nwc=1.1:sos=all:sac=on:sp=frequency:urr=on:stl=125_403 on Vampire---4 for (403ds/0Mi)
% 0.28/0.72 % (20632)First to succeed.
% 0.28/0.73 % (20632)Refutation found. Thanks to Tanya!
% 0.28/0.73 % SZS status Unsatisfiable for Vampire---4
% 0.28/0.73 % SZS output start Proof for Vampire---4
% See solution above
% 0.28/0.73 % (20632)------------------------------
% 0.28/0.73 % (20632)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.28/0.73 % (20632)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.28/0.73 % (20632)Termination reason: Refutation
% 0.28/0.73
% 0.28/0.73 % (20632)Memory used [KB]: 7419
% 0.28/0.73 % (20632)Time elapsed: 0.092 s
% 0.28/0.73 % (20632)------------------------------
% 0.28/0.73 % (20632)------------------------------
% 0.28/0.73 % (20628)Success in time 0.155 s
% 0.28/0.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------