TSTP Solution File: LCL778-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL778-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n015.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 08:30:34 EDT 2023
% Result : Unsatisfiable 0.25s 0.49s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 11
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 18 con; 0-5 aty)
% Number of variables : 0 (; 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f575,plain,
$false,
inference(subsumption_resolution,[],[f573,f572]) ).
fof(f572,plain,
~ hBOOL(sF13),
inference(definition_folding,[],[f520,f571,f570,f558,f569,f566,f565,f564,f563,f562]) ).
fof(f562,plain,
hAPP(c_Lambda_Osubst,v_r) = sF5,
introduced(function_definition,[]) ).
fof(f563,plain,
hAPP(sF5,v_s) = sF6,
introduced(function_definition,[]) ).
fof(f564,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = sF7,
introduced(function_definition,[]) ).
fof(f565,plain,
hAPP(sF6,sF7) = sF8,
introduced(function_definition,[]) ).
fof(f566,plain,
c_List_Ofoldl(c_Lambda_OdB_OApp,sF8,v_ss,tc_Lambda_OdB,tc_Lambda_OdB) = sF9,
introduced(function_definition,[]) ).
fof(f569,plain,
hAPP(c_Lambda_OdB_OApp,sF9) = sF11,
introduced(function_definition,[]) ).
fof(f558,plain,
c_Lambda_OdB_OVar(v_i) = sF2,
introduced(function_definition,[]) ).
fof(f570,plain,
hAPP(sF11,sF2) = sF12,
introduced(function_definition,[]) ).
fof(f571,plain,
hAPP(c_InductTermi_OIT,sF12) = sF13,
introduced(function_definition,[]) ).
fof(f520,axiom,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i)))),
file('/export/starexec/sandbox/tmp/tmp.jPoiwawXWt/Vampire---4.8_23992',cls_conjecture_4) ).
fof(f573,plain,
hBOOL(sF13),
inference(definition_folding,[],[f517,f571,f570,f558,f569,f566,f565,f564,f563,f562]) ).
fof(f517,axiom,
hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i)))),
file('/export/starexec/sandbox/tmp/tmp.jPoiwawXWt/Vampire---4.8_23992',cls_conjecture_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.17 % Problem : LCL778-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.19 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.18/0.40 % Computer : n015.cluster.edu
% 0.18/0.40 % Model : x86_64 x86_64
% 0.18/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.40 % Memory : 8042.1875MB
% 0.18/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.40 % CPULimit : 300
% 0.18/0.40 % WCLimit : 300
% 0.18/0.40 % DateTime : Fri Aug 25 05:00:21 EDT 2023
% 0.18/0.40 % CPUTime :
% 0.18/0.40 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.18/0.40 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.jPoiwawXWt/Vampire---4.8_23992
% 0.18/0.40 % (24129)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.49 % (24135)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)
% 0.25/0.49 % (24131)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.25/0.49 % (24133)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.25/0.49 % (24130)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)
% 0.25/0.49 % (24134)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)
% 0.25/0.49 % (24136)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.25/0.49 % (24132)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)
% 0.25/0.49 % (24133)First to succeed.
% 0.25/0.49 % (24133)Refutation found. Thanks to Tanya!
% 0.25/0.49 % SZS status Unsatisfiable for Vampire---4
% 0.25/0.49 % SZS output start Proof for Vampire---4
% See solution above
% 0.25/0.49 % (24133)------------------------------
% 0.25/0.49 % (24133)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.49 % (24133)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.49 % (24133)Termination reason: Refutation
% 0.25/0.49
% 0.25/0.49 % (24133)Memory used [KB]: 6012
% 0.25/0.49 % (24133)Time elapsed: 0.007 s
% 0.25/0.49 % (24133)------------------------------
% 0.25/0.49 % (24133)------------------------------
% 0.25/0.49 % (24129)Success in time 0.086 s
% 0.25/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------