TSTP Solution File: SYO617-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO617-1 : TPTP v8.1.2. Released v7.1.0.
% 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 : n012.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 : Fri Sep 1 05:05:51 EDT 2023
% Result : Unsatisfiable 0.22s 0.50s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 83 ( 4 unt; 0 def)
% Number of atoms : 209 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 256 ( 130 ~; 114 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 15 ( 14 usr; 13 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 110 (; 110 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f433,plain,
$false,
inference(avatar_sat_refutation,[],[f121,f261,f272,f297,f303,f318,f338,f344,f352,f356,f360,f375,f382,f402,f428,f432]) ).
fof(f432,plain,
( spl0_5
| spl0_4
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f431,f421,f103,f109]) ).
fof(f109,plain,
( spl0_5
<=> ! [X3] : ~ eq(f(X3),a1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f103,plain,
( spl0_4
<=> ! [X0] : ~ eq(f(X0),a2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f421,plain,
( spl0_18
<=> ! [X2,X1] :
( eq(f(max(X1,s(X2))),a1)
| ~ eq(f(X2),a2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f431,plain,
( ! [X2,X1] :
( ~ eq(f(X1),a2)
| ~ eq(f(X2),a1) )
| ~ spl0_18 ),
inference(resolution,[],[f422,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a1)
| ~ eq(f(X0),a1) ),
inference(resolution,[],[f13,f1]) ).
fof(f1,axiom,
! [X0] : le(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.1rGMovXWfD/Vampire---4.8_27174',sos_01) ).
fof(f13,plain,
! [X6,X4,X5] :
( ~ le(max(s(X5),X6),X4)
| ~ eq(f(X5),a1)
| ~ eq(f(X4),a1) ),
inference(resolution,[],[f6,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( le(X0,X2)
| ~ le(max(X0,X1),X2) ),
file('/export/starexec/sandbox/tmp/tmp.1rGMovXWfD/Vampire---4.8_27174',sos_02) ).
fof(f6,axiom,
! [X3,X4] :
( ~ le(s(X3),X4)
| ~ eq(f(X4),a1)
| ~ eq(f(X3),a1) ),
file('/export/starexec/sandbox/tmp/tmp.1rGMovXWfD/Vampire---4.8_27174',sos_06) ).
fof(f422,plain,
( ! [X2,X1] :
( eq(f(max(X1,s(X2))),a1)
| ~ eq(f(X2),a2) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f428,plain,
( spl0_18
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f413,f270,f421]) ).
fof(f270,plain,
( spl0_8
<=> ! [X0] :
( eq(f(X0),a2)
| eq(f(X0),a1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f413,plain,
( ! [X2,X1] :
( eq(f(max(X1,s(X2))),a1)
| ~ eq(f(X2),a2) )
| ~ spl0_8 ),
inference(resolution,[],[f271,f30]) ).
fof(f30,plain,
! [X0,X1] :
( ~ eq(f(max(X1,s(X0))),a2)
| ~ eq(f(X0),a2) ),
inference(resolution,[],[f15,f1]) ).
fof(f15,plain,
! [X2,X3,X1] :
( ~ le(max(X3,s(X2)),X1)
| ~ eq(f(X2),a2)
| ~ eq(f(X1),a2) ),
inference(resolution,[],[f7,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( le(X1,X2)
| ~ le(max(X0,X1),X2) ),
file('/export/starexec/sandbox/tmp/tmp.1rGMovXWfD/Vampire---4.8_27174',sos_03) ).
fof(f7,axiom,
! [X3,X4] :
( ~ le(s(X3),X4)
| ~ eq(f(X4),a2)
| ~ eq(f(X3),a2) ),
file('/export/starexec/sandbox/tmp/tmp.1rGMovXWfD/Vampire---4.8_27174',sos_07) ).
fof(f271,plain,
( ! [X0] :
( eq(f(X0),a2)
| eq(f(X0),a1) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f402,plain,
( spl0_1
| spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f401,f316,f103,f90]) ).
fof(f90,plain,
( spl0_1
<=> ! [X2] : ~ eq(f(X2),a0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f316,plain,
( spl0_12
<=> ! [X0,X1] :
( ~ eq(f(X0),a2)
| eq(f(max(X1,s(X0))),a0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f401,plain,
( ! [X2,X1] :
( ~ eq(f(X1),a2)
| ~ eq(f(X2),a0) )
| ~ spl0_12 ),
inference(resolution,[],[f317,f21]) ).
fof(f21,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a0)
| ~ eq(f(X0),a0) ),
inference(resolution,[],[f10,f1]) ).
fof(f10,plain,
! [X6,X4,X5] :
( ~ le(max(s(X5),X6),X4)
| ~ eq(f(X5),a0)
| ~ eq(f(X4),a0) ),
inference(resolution,[],[f5,f2]) ).
fof(f5,axiom,
! [X3,X4] :
( ~ le(s(X3),X4)
| ~ eq(f(X4),a0)
| ~ eq(f(X3),a0) ),
file('/export/starexec/sandbox/tmp/tmp.1rGMovXWfD/Vampire---4.8_27174',sos_05) ).
fof(f317,plain,
( ! [X0,X1] :
( eq(f(max(X1,s(X0))),a0)
| ~ eq(f(X0),a2) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f382,plain,
( spl0_1
| spl0_5
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f381,f373,f109,f90]) ).
fof(f373,plain,
( spl0_16
<=> ! [X0,X1] :
( ~ eq(f(X0),a1)
| eq(f(max(X1,s(X0))),a0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f381,plain,
( ! [X2,X1] :
( ~ eq(f(X1),a1)
| ~ eq(f(X2),a0) )
| ~ spl0_16 ),
inference(resolution,[],[f374,f21]) ).
fof(f374,plain,
( ! [X0,X1] :
( eq(f(max(X1,s(X0))),a0)
| ~ eq(f(X0),a1) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f375,plain,
( spl0_16
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f364,f295,f373]) ).
fof(f295,plain,
( spl0_10
<=> ! [X0] :
( eq(f(X0),a1)
| eq(f(X0),a0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f364,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a1)
| eq(f(max(X1,s(X0))),a0) )
| ~ spl0_10 ),
inference(resolution,[],[f24,f296]) ).
fof(f296,plain,
( ! [X0] :
( eq(f(X0),a1)
| eq(f(X0),a0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f24,plain,
! [X0,X1] :
( ~ eq(f(max(X1,s(X0))),a1)
| ~ eq(f(X0),a1) ),
inference(resolution,[],[f12,f1]) ).
fof(f12,plain,
! [X2,X3,X1] :
( ~ le(max(X3,s(X2)),X1)
| ~ eq(f(X2),a1)
| ~ eq(f(X1),a1) ),
inference(resolution,[],[f6,f3]) ).
fof(f360,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f358]) ).
fof(f358,plain,
( $false
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f351,f357]) ).
fof(f357,plain,
( ! [X0] : ~ eq(f(X0),a1)
| ~ spl0_15 ),
inference(resolution,[],[f11,f351]) ).
fof(f11,plain,
! [X0] :
( ~ eq(f(s(X0)),a1)
| ~ eq(f(X0),a1) ),
inference(resolution,[],[f6,f1]) ).
fof(f351,plain,
( ! [X0] : eq(f(X0),a1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f350,plain,
( spl0_15
<=> ! [X0] : eq(f(X0),a1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f356,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f354,plain,
( $false
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f343,f353]) ).
fof(f353,plain,
( ! [X0] : ~ eq(f(X0),a0)
| ~ spl0_14 ),
inference(resolution,[],[f8,f343]) ).
fof(f8,plain,
! [X0] :
( ~ eq(f(s(X0)),a0)
| ~ eq(f(X0),a0) ),
inference(resolution,[],[f5,f1]) ).
fof(f343,plain,
( ! [X0] : eq(f(X0),a0)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f342,plain,
( spl0_14
<=> ! [X0] : eq(f(X0),a0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f352,plain,
( spl0_15
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f348,f270,f103,f350]) ).
fof(f348,plain,
( ! [X0] : eq(f(X0),a1)
| ~ spl0_4
| ~ spl0_8 ),
inference(resolution,[],[f271,f104]) ).
fof(f104,plain,
( ! [X0] : ~ eq(f(X0),a2)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f344,plain,
( spl0_14
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f339,f119,f103,f342]) ).
fof(f119,plain,
( spl0_7
<=> ! [X0] :
( eq(f(X0),a2)
| eq(f(X0),a0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f339,plain,
( ! [X0] : eq(f(X0),a0)
| ~ spl0_4
| ~ spl0_7 ),
inference(resolution,[],[f120,f104]) ).
fof(f120,plain,
( ! [X0] :
( eq(f(X0),a2)
| eq(f(X0),a0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f338,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f335,f301,f109,f103]) ).
fof(f301,plain,
( spl0_11
<=> ! [X0] :
( ~ eq(f(X0),a2)
| eq(f(s(X0)),a1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f335,plain,
( ! [X0] : ~ eq(f(X0),a2)
| ~ spl0_5
| ~ spl0_11 ),
inference(resolution,[],[f302,f110]) ).
fof(f110,plain,
( ! [X3] : ~ eq(f(X3),a1)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f302,plain,
( ! [X0] :
( eq(f(s(X0)),a1)
| ~ eq(f(X0),a2) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f318,plain,
( spl0_12
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f307,f119,f316]) ).
fof(f307,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a2)
| eq(f(max(X1,s(X0))),a0) )
| ~ spl0_7 ),
inference(resolution,[],[f30,f120]) ).
fof(f303,plain,
( spl0_11
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f298,f270,f301]) ).
fof(f298,plain,
( ! [X0] :
( ~ eq(f(X0),a2)
| eq(f(s(X0)),a1) )
| ~ spl0_8 ),
inference(resolution,[],[f14,f271]) ).
fof(f14,plain,
! [X0] :
( ~ eq(f(s(X0)),a2)
| ~ eq(f(X0),a2) ),
inference(resolution,[],[f7,f1]) ).
fof(f297,plain,
( spl0_10
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f293,f103,f295]) ).
fof(f293,plain,
( ! [X0] :
( eq(f(X0),a1)
| eq(f(X0),a0) )
| ~ spl0_4 ),
inference(resolution,[],[f4,f104]) ).
fof(f4,axiom,
! [X0] :
( eq(f(X0),a2)
| eq(f(X0),a1)
| eq(f(X0),a0) ),
file('/export/starexec/sandbox/tmp/tmp.1rGMovXWfD/Vampire---4.8_27174',sos_04) ).
fof(f272,plain,
( spl0_8
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f262,f90,f270]) ).
fof(f262,plain,
( ! [X0] :
( eq(f(X0),a2)
| eq(f(X0),a1) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f4,f91]) ).
fof(f91,plain,
( ! [X2] : ~ eq(f(X2),a0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f261,plain,
( spl0_1
| spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f257,f103,f109,f90]) ).
fof(f257,plain,
! [X2,X3,X4] :
( ~ eq(f(X2),a2)
| ~ eq(f(X3),a1)
| ~ eq(f(X4),a0) ),
inference(resolution,[],[f83,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ eq(f(max(max(s(X0),X1),X2)),a0)
| ~ eq(f(X0),a0) ),
inference(resolution,[],[f23,f1]) ).
fof(f23,plain,
! [X8,X6,X9,X7] :
( ~ le(max(max(s(X6),X8),X9),X7)
| ~ eq(f(X7),a0)
| ~ eq(f(X6),a0) ),
inference(resolution,[],[f10,f2]) ).
fof(f83,plain,
! [X6,X4,X5] :
( eq(f(max(max(X5,s(X6)),s(X4))),a0)
| ~ eq(f(X4),a2)
| ~ eq(f(X6),a1) ),
inference(resolution,[],[f33,f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ eq(f(max(max(X0,s(X1)),X2)),a1)
| ~ eq(f(X1),a1) ),
inference(resolution,[],[f26,f1]) ).
fof(f26,plain,
! [X8,X6,X9,X7] :
( ~ le(max(max(X8,s(X6)),X9),X7)
| ~ eq(f(X7),a1)
| ~ eq(f(X6),a1) ),
inference(resolution,[],[f12,f2]) ).
fof(f33,plain,
! [X0,X1] :
( eq(f(max(X1,s(X0))),a1)
| ~ eq(f(X0),a2)
| eq(f(max(X1,s(X0))),a0) ),
inference(resolution,[],[f30,f4]) ).
fof(f121,plain,
( spl0_7
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f115,f109,f119]) ).
fof(f115,plain,
( ! [X0] :
( eq(f(X0),a2)
| eq(f(X0),a0) )
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f4,f110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO617-1 : TPTP v8.1.2. Released v7.1.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 08:05:55 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.1rGMovXWfD/Vampire---4.8_27174
% 0.14/0.36 % (27301)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39 % (27302)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.22/0.42 % (27304)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.22/0.46 % (27308)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.22/0.46 % (27306)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.46 % (27308)Refutation not found, incomplete strategy% (27308)------------------------------
% 0.22/0.46 % (27308)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.46 % (27308)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.46 % (27308)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.46
% 0.22/0.46 % (27308)Memory used [KB]: 895
% 0.22/0.46 % (27308)Time elapsed: 0.002 s
% 0.22/0.46 % (27308)------------------------------
% 0.22/0.46 % (27308)------------------------------
% 0.22/0.46 % (27303)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.22/0.47 % (27305)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.22/0.48 % (27307)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.22/0.49 % (27310)ott+10_8:1_br=off:cond=on:ep=RSTC:fsd=off:nm=0:sos=all:sp=reverse_weighted_frequency:tgt=full:urr=on_336 on Vampire---4 for (336ds/0Mi)
% 0.22/0.50 % (27310)Refutation not found, incomplete strategy% (27310)------------------------------
% 0.22/0.50 % (27310)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.50 % (27310)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.50 % (27310)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.50
% 0.22/0.50 % (27310)Memory used [KB]: 5373
% 0.22/0.50 % (27310)Time elapsed: 0.002 s
% 0.22/0.50 % (27310)------------------------------
% 0.22/0.50 % (27310)------------------------------
% 0.22/0.50 % (27305)First to succeed.
% 0.22/0.50 % (27305)Refutation found. Thanks to Tanya!
% 0.22/0.50 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.50 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.50 % (27305)------------------------------
% 0.22/0.50 % (27305)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.50 % (27305)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.50 % (27305)Termination reason: Refutation
% 0.22/0.50
% 0.22/0.50 % (27305)Memory used [KB]: 10234
% 0.22/0.50 % (27305)Time elapsed: 0.064 s
% 0.22/0.50 % (27305)------------------------------
% 0.22/0.50 % (27305)------------------------------
% 0.22/0.50 % (27301)Success in time 0.136 s
% 0.22/0.50 % Vampire---4.8 exiting
%------------------------------------------------------------------------------