TSTP Solution File: LCL072-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL072-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n014.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 08:21:40 EDT 2023
% Result : Unsatisfiable 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 77 ( 26 unt; 0 def)
% Number of atoms : 159 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 170 ( 88 ~; 77 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 92 (; 92 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3359,plain,
$false,
inference(avatar_sat_refutation,[],[f1364,f2089,f2101,f2969,f3013,f3358]) ).
fof(f3358,plain,
( ~ spl3_45
| ~ spl3_50 ),
inference(avatar_contradiction_clause,[],[f3357]) ).
fof(f3357,plain,
( $false
| ~ spl3_45
| ~ spl3_50 ),
inference(subsumption_resolution,[],[f3314,f1363]) ).
fof(f1363,plain,
( is_a_theorem(implies(sF2,sF2))
| ~ spl3_50 ),
inference(avatar_component_clause,[],[f1361]) ).
fof(f1361,plain,
( spl3_50
<=> is_a_theorem(implies(sF2,sF2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_50])]) ).
fof(f3314,plain,
( ~ is_a_theorem(implies(sF2,sF2))
| ~ spl3_45
| ~ spl3_50 ),
inference(resolution,[],[f3252,f1343]) ).
fof(f1343,plain,
( is_a_theorem(implies(sF0,sF2))
| ~ spl3_45 ),
inference(avatar_component_clause,[],[f1342]) ).
fof(f1342,plain,
( spl3_45
<=> is_a_theorem(implies(sF0,sF2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_45])]) ).
fof(f3252,plain,
( ! [X6] :
( ~ is_a_theorem(implies(sF0,X6))
| ~ is_a_theorem(implies(X6,sF2)) )
| ~ spl3_50 ),
inference(subsumption_resolution,[],[f3238,f75]) ).
fof(f75,plain,
is_a_theorem(implies(sF1,sF2)),
inference(resolution,[],[f25,f29]) ).
fof(f29,plain,
! [X1] : is_a_theorem(implies(implies(implies(X1,a),sF1),sF2)),
inference(superposition,[],[f2,f8]) ).
fof(f8,plain,
implies(a,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
file('/export/starexec/sandbox2/tmp/tmp.VAKwi9x2MS/Vampire---4.8_13014',cn_19) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.VAKwi9x2MS/Vampire---4.8_13014',condensed_detachment) ).
fof(f3238,plain,
( ! [X6] :
( ~ is_a_theorem(implies(sF0,X6))
| ~ is_a_theorem(implies(sF1,sF2))
| ~ is_a_theorem(implies(X6,sF2)) )
| ~ spl3_50 ),
inference(resolution,[],[f3202,f2637]) ).
fof(f2637,plain,
! [X138,X139] :
( is_a_theorem(implies(implies(sF0,X139),X138))
| ~ is_a_theorem(implies(sF1,X138))
| ~ is_a_theorem(implies(X139,X138)) ),
inference(resolution,[],[f879,f35]) ).
fof(f35,plain,
! [X0] : is_a_theorem(implies(implies(sF1,X0),implies(not(sF0),X0))),
inference(superposition,[],[f3,f7]) ).
fof(f7,plain,
implies(sF0,b) = sF1,
introduced(function_definition,[]) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
file('/export/starexec/sandbox2/tmp/tmp.VAKwi9x2MS/Vampire---4.8_13014',cn_37) ).
fof(f879,plain,
! [X11,X14,X12,X13] :
( ~ is_a_theorem(implies(X11,implies(not(X12),X13)))
| ~ is_a_theorem(X11)
| is_a_theorem(implies(implies(X12,X14),X13))
| ~ is_a_theorem(implies(X14,X13)) ),
inference(resolution,[],[f282,f1]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X3,X2),implies(implies(X1,X3),X2)))
| ~ is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f45,f1]) ).
fof(f45,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),X2))))
| ~ is_a_theorem(implies(X0,implies(not(X3),X2))) ),
inference(resolution,[],[f4,f1]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))),
file('/export/starexec/sandbox2/tmp/tmp.VAKwi9x2MS/Vampire---4.8_13014',cn_60) ).
fof(f3202,plain,
( ! [X80] :
( ~ is_a_theorem(implies(X80,sF2))
| ~ is_a_theorem(X80) )
| ~ spl3_50 ),
inference(resolution,[],[f3014,f80]) ).
fof(f80,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f67,f1]) ).
fof(f67,plain,
! [X4,X5] : is_a_theorem(implies(X4,implies(X5,X4))),
inference(resolution,[],[f25,f2]) ).
fof(f3014,plain,
( ! [X0] :
( ~ is_a_theorem(implies(a,X0))
| ~ is_a_theorem(implies(X0,sF2)) )
| ~ spl3_50 ),
inference(subsumption_resolution,[],[f2006,f9]) ).
fof(f9,plain,
~ is_a_theorem(sF2),
inference(definition_folding,[],[f5,f8,f7,f6]) ).
fof(f6,plain,
not(a) = sF0,
introduced(function_definition,[]) ).
fof(f5,axiom,
~ is_a_theorem(implies(a,implies(not(a),b))),
file('/export/starexec/sandbox2/tmp/tmp.VAKwi9x2MS/Vampire---4.8_13014',prove_cn_3) ).
fof(f2006,plain,
( ! [X0] :
( is_a_theorem(sF2)
| ~ is_a_theorem(implies(a,X0))
| ~ is_a_theorem(implies(X0,sF2)) )
| ~ spl3_50 ),
inference(resolution,[],[f1363,f1042]) ).
fof(f1042,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(sF2,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(implies(a,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1032,f41]) ).
fof(f41,plain,
! [X0] :
( is_a_theorem(implies(sF0,X0))
| ~ is_a_theorem(implies(sF2,X0)) ),
inference(resolution,[],[f38,f1]) ).
fof(f38,plain,
! [X1] : is_a_theorem(implies(implies(sF2,X1),implies(sF0,X1))),
inference(forward_demodulation,[],[f36,f6]) ).
fof(f36,plain,
! [X1] : is_a_theorem(implies(implies(sF2,X1),implies(not(a),X1))),
inference(superposition,[],[f3,f8]) ).
fof(f1032,plain,
! [X8,X9] :
( ~ is_a_theorem(implies(sF0,X8))
| ~ is_a_theorem(implies(X9,X8))
| is_a_theorem(X8)
| ~ is_a_theorem(implies(a,X9)) ),
inference(resolution,[],[f898,f1]) ).
fof(f898,plain,
! [X6,X5] :
( is_a_theorem(implies(implies(a,X6),X5))
| ~ is_a_theorem(implies(sF0,X5))
| ~ is_a_theorem(implies(X6,X5)) ),
inference(resolution,[],[f894,f1]) ).
fof(f894,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X1,X0),implies(implies(a,X1),X0)))
| ~ is_a_theorem(implies(sF0,X0)) ),
inference(condensation,[],[f886]) ).
fof(f886,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(sF0,X0))
| is_a_theorem(implies(implies(X1,X0),implies(implies(a,X1),X0)))
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f593,f1]) ).
fof(f593,plain,
! [X8,X6,X7] :
( is_a_theorem(implies(X6,implies(implies(X7,X8),implies(implies(a,X7),X8))))
| ~ is_a_theorem(implies(sF0,X8)) ),
inference(resolution,[],[f219,f1]) ).
fof(f219,plain,
! [X3,X4,X5] : is_a_theorem(implies(implies(sF0,X3),implies(X4,implies(implies(X5,X3),implies(implies(a,X5),X3))))),
inference(resolution,[],[f46,f25]) ).
fof(f46,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(sF0,X1)),implies(X0,implies(implies(X2,X1),implies(implies(a,X2),X1))))),
inference(superposition,[],[f4,f6]) ).
fof(f3013,plain,
( ~ spl3_51
| spl3_45 ),
inference(avatar_split_clause,[],[f3012,f1342,f1367]) ).
fof(f1367,plain,
( spl3_51
<=> is_a_theorem(implies(a,implies(sF2,sF2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_51])]) ).
fof(f3012,plain,
( is_a_theorem(implies(sF0,sF2))
| ~ is_a_theorem(implies(a,implies(sF2,sF2))) ),
inference(forward_demodulation,[],[f2375,f6]) ).
fof(f2375,plain,
( ~ is_a_theorem(implies(a,implies(sF2,sF2)))
| is_a_theorem(implies(not(a),sF2)) ),
inference(superposition,[],[f1308,f8]) ).
fof(f1308,plain,
! [X16,X15] :
( ~ is_a_theorem(implies(a,implies(implies(X15,X16),sF2)))
| is_a_theorem(implies(not(X15),sF2)) ),
inference(resolution,[],[f1043,f3]) ).
fof(f1043,plain,
! [X2,X3] :
( ~ is_a_theorem(implies(X2,implies(X3,sF2)))
| is_a_theorem(implies(X3,sF2))
| ~ is_a_theorem(implies(a,X2)) ),
inference(resolution,[],[f1032,f181]) ).
fof(f181,plain,
! [X1] : is_a_theorem(implies(sF0,implies(X1,sF2))),
inference(forward_demodulation,[],[f180,f6]) ).
fof(f180,plain,
! [X1] : is_a_theorem(implies(not(a),implies(X1,sF2))),
inference(superposition,[],[f120,f8]) ).
fof(f120,plain,
! [X21,X19,X20] : is_a_theorem(implies(not(X19),implies(X20,implies(X19,X21)))),
inference(resolution,[],[f34,f67]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X2),X1))
| is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[],[f3,f1]) ).
fof(f2969,plain,
~ spl3_48,
inference(avatar_contradiction_clause,[],[f2968]) ).
fof(f2968,plain,
( $false
| ~ spl3_48 ),
inference(subsumption_resolution,[],[f2946,f181]) ).
fof(f2946,plain,
( ~ is_a_theorem(implies(sF0,implies(sF2,sF2)))
| ~ spl3_48 ),
inference(resolution,[],[f2824,f38]) ).
fof(f2824,plain,
( ! [X26] :
( ~ is_a_theorem(implies(X26,implies(sF0,sF2)))
| ~ is_a_theorem(implies(sF0,X26)) )
| ~ spl3_48 ),
inference(subsumption_resolution,[],[f2812,f104]) ).
fof(f104,plain,
! [X1] : is_a_theorem(implies(sF1,implies(X1,sF2))),
inference(superposition,[],[f81,f8]) ).
fof(f81,plain,
! [X2,X3,X4] : is_a_theorem(implies(X2,implies(X3,implies(X4,X2)))),
inference(resolution,[],[f67,f25]) ).
fof(f2812,plain,
( ! [X26] :
( ~ is_a_theorem(implies(sF1,implies(sF0,sF2)))
| ~ is_a_theorem(implies(X26,implies(sF0,sF2)))
| ~ is_a_theorem(implies(sF0,X26)) )
| ~ spl3_48 ),
inference(resolution,[],[f2637,f1355]) ).
fof(f1355,plain,
( ! [X18] :
( ~ is_a_theorem(implies(X18,implies(sF0,sF2)))
| ~ is_a_theorem(X18) )
| ~ spl3_48 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f1354,plain,
( spl3_48
<=> ! [X18] :
( ~ is_a_theorem(implies(X18,implies(sF0,sF2)))
| ~ is_a_theorem(X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_48])]) ).
fof(f2101,plain,
( ~ spl3_50
| spl3_51 ),
inference(avatar_contradiction_clause,[],[f2100]) ).
fof(f2100,plain,
( $false
| ~ spl3_50
| spl3_51 ),
inference(subsumption_resolution,[],[f2098,f1363]) ).
fof(f2098,plain,
( ~ is_a_theorem(implies(sF2,sF2))
| spl3_51 ),
inference(resolution,[],[f1369,f80]) ).
fof(f1369,plain,
( ~ is_a_theorem(implies(a,implies(sF2,sF2)))
| spl3_51 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f2089,plain,
spl3_49,
inference(avatar_contradiction_clause,[],[f2088]) ).
fof(f2088,plain,
( $false
| spl3_49 ),
inference(subsumption_resolution,[],[f2086,f75]) ).
fof(f2086,plain,
( ~ is_a_theorem(implies(sF1,sF2))
| spl3_49 ),
inference(resolution,[],[f1359,f80]) ).
fof(f1359,plain,
( ~ is_a_theorem(implies(a,implies(sF1,sF2)))
| spl3_49 ),
inference(avatar_component_clause,[],[f1357]) ).
fof(f1357,plain,
( spl3_49
<=> is_a_theorem(implies(a,implies(sF1,sF2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_49])]) ).
fof(f1364,plain,
( spl3_48
| ~ spl3_49
| spl3_50 ),
inference(avatar_split_clause,[],[f1313,f1361,f1357,f1354]) ).
fof(f1313,plain,
! [X18] :
( is_a_theorem(implies(sF2,sF2))
| ~ is_a_theorem(implies(a,implies(sF1,sF2)))
| ~ is_a_theorem(implies(X18,implies(sF0,sF2)))
| ~ is_a_theorem(X18) ),
inference(resolution,[],[f1043,f544]) ).
fof(f544,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(sF1,X1),implies(sF2,X1)))
| ~ is_a_theorem(implies(X0,implies(sF0,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f140,f1]) ).
fof(f140,plain,
! [X4,X5] :
( is_a_theorem(implies(X4,implies(implies(sF1,X5),implies(sF2,X5))))
| ~ is_a_theorem(implies(X4,implies(sF0,X5))) ),
inference(resolution,[],[f51,f1]) ).
fof(f51,plain,
! [X2,X3] : is_a_theorem(implies(implies(X2,implies(sF0,X3)),implies(X2,implies(implies(sF1,X3),implies(sF2,X3))))),
inference(forward_demodulation,[],[f50,f6]) ).
fof(f50,plain,
! [X2,X3] : is_a_theorem(implies(implies(X2,implies(not(a),X3)),implies(X2,implies(implies(sF1,X3),implies(sF2,X3))))),
inference(superposition,[],[f4,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL072-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 16:50:48 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.VAKwi9x2MS/Vampire---4.8_13014
% 0.14/0.37 % (13127)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (13130)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)
% 0.22/0.42 % (13133)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)
% 0.22/0.42 % (13129)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)
% 0.22/0.42 % (13128)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 % (13132)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)
% 0.22/0.42 % (13134)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)
% 0.22/0.42 % (13131)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)
% 0.22/0.51 % (13132)First to succeed.
% 0.22/0.51 % (13132)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 % (13132)------------------------------
% 0.22/0.51 % (13132)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.51 % (13132)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.51 % (13132)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (13132)Memory used [KB]: 7675
% 0.22/0.51 % (13132)Time elapsed: 0.086 s
% 0.22/0.51 % (13132)------------------------------
% 0.22/0.51 % (13132)------------------------------
% 0.22/0.51 % (13127)Success in time 0.144 s
% 0.22/0.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------