TSTP Solution File: SYN180-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN180-1 : TPTP v8.1.2. Released v1.1.0.
% 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 : 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 : Fri Sep 1 03:38:04 EDT 2023
% Result : Unsatisfiable 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 31
% Syntax : Number of formulae : 77 ( 20 unt; 0 def)
% Number of atoms : 166 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 176 ( 87 ~; 76 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 29 ( 28 usr; 9 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 75 (; 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7115,plain,
$false,
inference(avatar_sat_refutation,[],[f1386,f1436,f1914,f2091,f2099,f2101,f2335,f2348,f7113]) ).
fof(f7113,plain,
( ~ spl113_257
| ~ spl113_161
| ~ spl113_185
| ~ spl113_311 ),
inference(avatar_split_clause,[],[f7034,f1912,f1352,f1251,f1679]) ).
fof(f1679,plain,
( spl113_257
<=> k0(e) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_257])]) ).
fof(f1251,plain,
( spl113_161
<=> ! [X8] :
( ~ n2(X8)
| m3(X8,X8,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_161])]) ).
fof(f1352,plain,
( spl113_185
<=> k3(a,a,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_185])]) ).
fof(f1912,plain,
( spl113_311
<=> ! [X7,X8] :
( r1(X7)
| ~ q1(d,X8,d)
| ~ q0(X7,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_311])]) ).
fof(f7034,plain,
( ~ k0(e)
| ~ spl113_161
| ~ spl113_185
| ~ spl113_311 ),
inference(unit_resulting_resolution,[],[f2417,f3830,f5232,f2858,f566]) ).
fof(f566,plain,
! [X6,X7] :
( ~ q2(X7,X7,X7)
| ~ k0(X7)
| ~ r1(X7)
| q2(X6,X7,X6)
| sP98(X6) ),
inference(cnf_transformation,[],[f566_D]) ).
fof(f566_D,plain,
! [X6] :
( ! [X7] :
( ~ q2(X7,X7,X7)
| ~ k0(X7)
| ~ r1(X7)
| q2(X6,X7,X6) )
<=> ~ sP98(X6) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP98])]) ).
fof(f2858,plain,
! [X0] : q2(X0,X0,X0),
inference(unit_resulting_resolution,[],[f2539,f219]) ).
fof(f219,axiom,
! [X2] :
( ~ p1(X2,X2,X2)
| q2(X2,X2,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.4iDRjbHHC1/Vampire---4.8_28269',rule_181) ).
fof(f2539,plain,
! [X0] : p1(X0,X0,X0),
inference(unit_resulting_resolution,[],[f14,f123]) ).
fof(f123,axiom,
! [X11,X6] :
( p1(X11,X11,X11)
| ~ p0(X6,X11) ),
file('/export/starexec/sandbox2/tmp/tmp.4iDRjbHHC1/Vampire---4.8_28269',rule_085) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/tmp/tmp.4iDRjbHHC1/Vampire---4.8_28269',axiom_14) ).
fof(f5232,plain,
( ! [X0] : ~ q2(X0,e,a)
| ~ spl113_161
| ~ spl113_185 ),
inference(unit_resulting_resolution,[],[f2552,f2410,f369,f557]) ).
fof(f557,plain,
! [X11,X8,X6] :
( ~ q2(X8,X6,X11)
| q4(X11,X6)
| ~ sP92(X8)
| ~ sP93(X11) ),
inference(general_splitting,[],[f555,f556_D]) ).
fof(f556,plain,
! [X11,X7] :
( ~ k3(X7,X7,X11)
| sP93(X11) ),
inference(cnf_transformation,[],[f556_D]) ).
fof(f556_D,plain,
! [X11] :
( ! [X7] : ~ k3(X7,X7,X11)
<=> ~ sP93(X11) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP93])]) ).
fof(f555,plain,
! [X11,X8,X6,X7] :
( q4(X11,X6)
| ~ q2(X8,X6,X11)
| ~ k3(X7,X7,X11)
| ~ sP92(X8) ),
inference(general_splitting,[],[f333,f554_D]) ).
fof(f554,plain,
! [X8,X9] :
( ~ m3(X8,X9,X8)
| sP92(X8) ),
inference(cnf_transformation,[],[f554_D]) ).
fof(f554_D,plain,
! [X8] :
( ! [X9] : ~ m3(X8,X9,X8)
<=> ~ sP92(X8) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP92])]) ).
fof(f333,axiom,
! [X11,X8,X6,X9,X7] :
( q4(X11,X6)
| ~ q2(X8,X6,X11)
| ~ m3(X8,X9,X8)
| ~ k3(X7,X7,X11) ),
file('/export/starexec/sandbox2/tmp/tmp.4iDRjbHHC1/Vampire---4.8_28269',rule_295) ).
fof(f369,axiom,
~ q4(a,e),
file('/export/starexec/sandbox2/tmp/tmp.4iDRjbHHC1/Vampire---4.8_28269',prove_this) ).
fof(f2410,plain,
( sP93(a)
| ~ spl113_185 ),
inference(unit_resulting_resolution,[],[f1354,f556]) ).
fof(f1354,plain,
( k3(a,a,a)
| ~ spl113_185 ),
inference(avatar_component_clause,[],[f1352]) ).
fof(f2552,plain,
( ! [X0] : sP92(X0)
| ~ spl113_161 ),
inference(unit_resulting_resolution,[],[f2544,f554]) ).
fof(f2544,plain,
( ! [X0] : m3(X0,X0,X0)
| ~ spl113_161 ),
inference(unit_resulting_resolution,[],[f2542,f1252]) ).
fof(f1252,plain,
( ! [X8] :
( m3(X8,X8,X8)
| ~ n2(X8) )
| ~ spl113_161 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f2542,plain,
! [X0] : n2(X0),
inference(unit_resulting_resolution,[],[f2539,f175]) ).
fof(f175,axiom,
! [X10,X11,X6] :
( ~ p1(X11,X6,X10)
| n2(X10) ),
file('/export/starexec/sandbox2/tmp/tmp.4iDRjbHHC1/Vampire---4.8_28269',rule_137) ).
fof(f3830,plain,
( ! [X0] : r1(X0)
| ~ spl113_311 ),
inference(unit_resulting_resolution,[],[f17,f2991,f1913]) ).
fof(f1913,plain,
( ! [X8,X7] :
( ~ q1(d,X8,d)
| r1(X7)
| ~ q0(X7,X8) )
| ~ spl113_311 ),
inference(avatar_component_clause,[],[f1912]) ).
fof(f2991,plain,
! [X0] : q1(X0,d,X0),
inference(unit_resulting_resolution,[],[f2188,f2186,f432]) ).
fof(f432,plain,
! [X3,X10] :
( q1(X3,X10,X3)
| ~ sP30(X10)
| sP31(X3) ),
inference(cnf_transformation,[],[f432_D]) ).
fof(f432_D,plain,
! [X3] :
( ! [X10] :
( q1(X3,X10,X3)
| ~ sP30(X10) )
<=> ~ sP31(X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP31])]) ).
fof(f2186,plain,
sP30(d),
inference(unit_resulting_resolution,[],[f34,f430]) ).
fof(f430,plain,
! [X10,X11] :
( ~ n0(X11,X10)
| sP30(X10) ),
inference(cnf_transformation,[],[f430_D]) ).
fof(f430_D,plain,
! [X10] :
( ! [X11] : ~ n0(X11,X10)
<=> ~ sP30(X10) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP30])]) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/tmp/tmp.4iDRjbHHC1/Vampire---4.8_28269',axiom_34) ).
fof(f2188,plain,
! [X0] : ~ sP31(X0),
inference(unit_resulting_resolution,[],[f14,f433]) ).
fof(f433,plain,
! [X3,X6] :
( ~ p0(X6,X3)
| ~ sP31(X3) ),
inference(general_splitting,[],[f431,f432_D]) ).
fof(f431,plain,
! [X3,X10,X6] :
( ~ p0(X6,X3)
| q1(X3,X10,X3)
| ~ sP30(X10) ),
inference(general_splitting,[],[f130,f430_D]) ).
fof(f130,axiom,
! [X3,X10,X11,X6] :
( ~ p0(X6,X3)
| ~ n0(X11,X10)
| q1(X3,X10,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.4iDRjbHHC1/Vampire---4.8_28269',rule_092) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/tmp/tmp.4iDRjbHHC1/Vampire---4.8_28269',axiom_17) ).
fof(f2417,plain,
~ sP98(a),
inference(unit_resulting_resolution,[],[f38,f567]) ).
fof(f567,plain,
! [X8,X6,X9] :
( ~ m0(X8,X9,X6)
| ~ sP98(X6) ),
inference(general_splitting,[],[f225,f566_D]) ).
fof(f225,axiom,
! [X8,X6,X9,X7] :
( ~ r1(X7)
| ~ k0(X7)
| ~ m0(X8,X9,X6)
| ~ q2(X7,X7,X7)
| q2(X6,X7,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.4iDRjbHHC1/Vampire---4.8_28269',rule_187) ).
fof(f38,axiom,
m0(b,a,a),
file('/export/starexec/sandbox2/tmp/tmp.4iDRjbHHC1/Vampire---4.8_28269',axiom_38) ).
fof(f2348,plain,
( spl113_185
| ~ spl113_336 ),
inference(avatar_split_clause,[],[f2347,f2015,f1352]) ).
fof(f2015,plain,
( spl113_336
<=> n2(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_336])]) ).
fof(f2347,plain,
( k3(a,a,a)
| ~ spl113_336 ),
inference(unit_resulting_resolution,[],[f2017,f248]) ).
fof(f248,axiom,
! [X7] :
( k3(X7,X7,X7)
| ~ n2(X7) ),
file('/export/starexec/sandbox2/tmp/tmp.4iDRjbHHC1/Vampire---4.8_28269',rule_210) ).
fof(f2017,plain,
( n2(a)
| ~ spl113_336 ),
inference(avatar_component_clause,[],[f2015]) ).
fof(f2335,plain,
( spl113_336
| ~ spl113_191 ),
inference(avatar_split_clause,[],[f2328,f1379,f2015]) ).
fof(f1379,plain,
( spl113_191
<=> p1(a,a,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_191])]) ).
fof(f2328,plain,
( n2(a)
| ~ spl113_191 ),
inference(unit_resulting_resolution,[],[f1381,f175]) ).
fof(f1381,plain,
( p1(a,a,a)
| ~ spl113_191 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f2101,plain,
spl113_257,
inference(avatar_contradiction_clause,[],[f2100]) ).
fof(f2100,plain,
( $false
| spl113_257 ),
inference(unit_resulting_resolution,[],[f28,f1681]) ).
fof(f1681,plain,
( ~ k0(e)
| spl113_257 ),
inference(avatar_component_clause,[],[f1679]) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/tmp/tmp.4iDRjbHHC1/Vampire---4.8_28269',axiom_28) ).
fof(f2099,plain,
spl113_241,
inference(avatar_contradiction_clause,[],[f2098]) ).
fof(f2098,plain,
( $false
| spl113_241 ),
inference(unit_resulting_resolution,[],[f1,f1613]) ).
fof(f1613,plain,
( ~ s0(d)
| spl113_241 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f1611,plain,
( spl113_241
<=> s0(d) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_241])]) ).
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/tmp/tmp.4iDRjbHHC1/Vampire---4.8_28269',axiom_1) ).
fof(f2091,plain,
spl113_192,
inference(avatar_contradiction_clause,[],[f2090]) ).
fof(f2090,plain,
( $false
| spl113_192 ),
inference(unit_resulting_resolution,[],[f20,f1385]) ).
fof(f1385,plain,
( ~ l0(a)
| spl113_192 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f1383,plain,
( spl113_192
<=> l0(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_192])]) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/tmp/tmp.4iDRjbHHC1/Vampire---4.8_28269',axiom_20) ).
fof(f1914,plain,
( spl113_311
| ~ spl113_241 ),
inference(avatar_split_clause,[],[f162,f1611,f1912]) ).
fof(f162,axiom,
! [X8,X7] :
( ~ s0(d)
| r1(X7)
| ~ q0(X7,X8)
| ~ q1(d,X8,d) ),
file('/export/starexec/sandbox2/tmp/tmp.4iDRjbHHC1/Vampire---4.8_28269',rule_124) ).
fof(f1436,plain,
spl113_161,
inference(avatar_split_clause,[],[f274,f1251]) ).
fof(f274,axiom,
! [X10] :
( ~ n2(X10)
| m3(X10,X10,X10) ),
file('/export/starexec/sandbox2/tmp/tmp.4iDRjbHHC1/Vampire---4.8_28269',rule_236) ).
fof(f1386,plain,
( spl113_191
| ~ spl113_192 ),
inference(avatar_split_clause,[],[f126,f1383,f1379]) ).
fof(f126,axiom,
( ~ l0(a)
| p1(a,a,a) ),
file('/export/starexec/sandbox2/tmp/tmp.4iDRjbHHC1/Vampire---4.8_28269',rule_088) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SYN180-1 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n009.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sat Aug 26 19:31:20 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.4iDRjbHHC1/Vampire---4.8_28269
% 0.16/0.38 % (28519)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (28524)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)
% 0.22/0.44 % (28526)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)
% 0.22/0.44 % (28521)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)
% 0.22/0.44 % (28525)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)
% 0.22/0.44 % (28522)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)
% 0.22/0.44 % (28523)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)
% 0.22/0.44 % (28520)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)
% 0.22/0.51 % (28525)First to succeed.
% 0.22/0.51 % (28525)Refutation found. Thanks to Tanya!
% 0.22/0.51 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.51 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.51 % (28525)------------------------------
% 0.22/0.51 % (28525)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.51 % (28525)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.51 % (28525)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (28525)Memory used [KB]: 9338
% 0.22/0.51 % (28525)Time elapsed: 0.068 s
% 0.22/0.51 % (28525)------------------------------
% 0.22/0.51 % (28525)------------------------------
% 0.22/0.51 % (28519)Success in time 0.135 s
% 0.22/0.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------