TSTP Solution File: LCL080-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL080-2 : 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 : n011.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 08:21:43 EDT 2023
% Result : Unsatisfiable 2.98s 0.82s
% Output : Refutation 2.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 72 ( 25 unt; 0 def)
% Number of atoms : 132 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 121 ( 61 ~; 56 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 50 (; 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13013,plain,
$false,
inference(avatar_sat_refutation,[],[f1414,f1871,f1953,f2711,f13012]) ).
fof(f13012,plain,
( spl6_21
| ~ spl6_22 ),
inference(avatar_contradiction_clause,[],[f13011]) ).
fof(f13011,plain,
( $false
| spl6_21
| ~ spl6_22 ),
inference(subsumption_resolution,[],[f13010,f1874]) ).
fof(f1874,plain,
( is_a_theorem(implies(c,sF5))
| ~ spl6_22 ),
inference(avatar_component_clause,[],[f1873]) ).
fof(f1873,plain,
( spl6_22
<=> is_a_theorem(implies(c,sF5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_22])]) ).
fof(f13010,plain,
( ~ is_a_theorem(implies(c,sF5))
| spl6_21 ),
inference(resolution,[],[f13007,f21]) ).
fof(f21,plain,
! [X2,X1] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f1,f3]) ).
fof(f3,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/tmp/tmp.ztqRFRljMG/Vampire---4.8_9612',ic_2) ).
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.ztqRFRljMG/Vampire---4.8_9612',condensed_detachment) ).
fof(f13007,plain,
( ~ is_a_theorem(implies(sF1,implies(c,sF5)))
| spl6_21 ),
inference(subsumption_resolution,[],[f12957,f1870]) ).
fof(f1870,plain,
( ~ is_a_theorem(implies(sF0,sF5))
| spl6_21 ),
inference(avatar_component_clause,[],[f1868]) ).
fof(f1868,plain,
( spl6_21
<=> is_a_theorem(implies(sF0,sF5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_21])]) ).
fof(f12957,plain,
( ~ is_a_theorem(implies(sF1,implies(c,sF5)))
| is_a_theorem(implies(sF0,sF5)) ),
inference(resolution,[],[f5519,f2158]) ).
fof(f2158,plain,
! [X2] :
( ~ is_a_theorem(implies(sF1,implies(X2,sF5)))
| is_a_theorem(implies(X2,sF5)) ),
inference(resolution,[],[f768,f3]) ).
fof(f768,plain,
! [X27] :
( ~ is_a_theorem(implies(sF5,X27))
| is_a_theorem(X27)
| ~ is_a_theorem(implies(sF1,X27)) ),
inference(resolution,[],[f404,f209]) ).
fof(f209,plain,
! [X0] :
( is_a_theorem(implies(implies(X0,sF4),sF5))
| ~ is_a_theorem(implies(sF1,X0)) ),
inference(resolution,[],[f102,f1]) ).
fof(f102,plain,
! [X4] : is_a_theorem(implies(implies(sF1,X4),implies(implies(X4,sF4),sF5))),
inference(superposition,[],[f5,f12]) ).
fof(f12,plain,
implies(sF1,sF4) = sF5,
introduced(function_definition,[]) ).
fof(f5,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/tmp/tmp.ztqRFRljMG/Vampire---4.8_9612',ic_4) ).
fof(f404,plain,
! [X18,X16,X17] :
( ~ is_a_theorem(implies(implies(X16,X17),X18))
| ~ is_a_theorem(implies(X18,X16))
| is_a_theorem(X16) ),
inference(resolution,[],[f216,f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f4,f1]) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
file('/export/starexec/sandbox2/tmp/tmp.ztqRFRljMG/Vampire---4.8_9612',ic_3) ).
fof(f216,plain,
! [X2,X3,X4] :
( is_a_theorem(implies(X2,X4))
| ~ is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(implies(X3,X4)) ),
inference(resolution,[],[f85,f1]) ).
fof(f85,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) ),
inference(resolution,[],[f5,f1]) ).
fof(f5519,plain,
! [X44] :
( is_a_theorem(implies(sF1,implies(sF0,X44)))
| ~ is_a_theorem(implies(sF1,implies(c,X44))) ),
inference(resolution,[],[f807,f89]) ).
fof(f89,plain,
! [X3] : is_a_theorem(implies(sF1,implies(implies(c,X3),implies(sF0,X3)))),
inference(superposition,[],[f5,f8]) ).
fof(f8,plain,
implies(sF0,c) = sF1,
introduced(function_definition,[]) ).
fof(f807,plain,
! [X11,X12,X13] :
( ~ is_a_theorem(implies(X11,implies(X12,X13)))
| is_a_theorem(implies(X11,X13))
| ~ is_a_theorem(implies(X11,X12)) ),
inference(resolution,[],[f398,f85]) ).
fof(f398,plain,
! [X3,X4,X5] :
( ~ is_a_theorem(implies(X4,implies(X3,X5)))
| ~ is_a_theorem(implies(X3,X4))
| is_a_theorem(implies(X3,X5)) ),
inference(resolution,[],[f216,f215]) ).
fof(f215,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f85,f77]) ).
fof(f2711,plain,
spl6_22,
inference(avatar_contradiction_clause,[],[f2710]) ).
fof(f2710,plain,
( $false
| spl6_22 ),
inference(subsumption_resolution,[],[f2699,f18]) ).
fof(f18,plain,
is_a_theorem(implies(sF4,sF5)),
inference(superposition,[],[f3,f12]) ).
fof(f2699,plain,
( ~ is_a_theorem(implies(sF4,sF5))
| spl6_22 ),
inference(resolution,[],[f1989,f164]) ).
fof(f164,plain,
is_a_theorem(implies(implies(e,c),sF4)),
inference(forward_demodulation,[],[f163,f11]) ).
fof(f11,plain,
implies(sF2,sF3) = sF4,
introduced(function_definition,[]) ).
fof(f163,plain,
is_a_theorem(implies(implies(e,c),implies(sF2,sF3))),
inference(superposition,[],[f93,f10]) ).
fof(f10,plain,
implies(e,a) = sF3,
introduced(function_definition,[]) ).
fof(f93,plain,
! [X1] : is_a_theorem(implies(implies(X1,c),implies(sF2,implies(X1,a)))),
inference(superposition,[],[f5,f9]) ).
fof(f9,plain,
implies(c,a) = sF2,
introduced(function_definition,[]) ).
fof(f1989,plain,
( ! [X2,X1] :
( ~ is_a_theorem(implies(implies(X1,c),X2))
| ~ is_a_theorem(implies(X2,sF5)) )
| spl6_22 ),
inference(resolution,[],[f1973,f216]) ).
fof(f1973,plain,
( ! [X0] : ~ is_a_theorem(implies(implies(X0,c),sF5))
| spl6_22 ),
inference(resolution,[],[f1902,f3]) ).
fof(f1902,plain,
( ! [X1] :
( ~ is_a_theorem(implies(c,X1))
| ~ is_a_theorem(implies(X1,sF5)) )
| spl6_22 ),
inference(resolution,[],[f1875,f216]) ).
fof(f1875,plain,
( ~ is_a_theorem(implies(c,sF5))
| spl6_22 ),
inference(avatar_component_clause,[],[f1873]) ).
fof(f1953,plain,
( ~ spl6_18
| spl6_20 ),
inference(avatar_contradiction_clause,[],[f1952]) ).
fof(f1952,plain,
( $false
| ~ spl6_18
| spl6_20 ),
inference(subsumption_resolution,[],[f1945,f18]) ).
fof(f1945,plain,
( ~ is_a_theorem(implies(sF4,sF5))
| ~ spl6_18
| spl6_20 ),
inference(resolution,[],[f1892,f1374]) ).
fof(f1374,plain,
( is_a_theorem(implies(a,sF4))
| ~ spl6_18 ),
inference(avatar_component_clause,[],[f1373]) ).
fof(f1373,plain,
( spl6_18
<=> is_a_theorem(implies(a,sF4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).
fof(f1892,plain,
( ! [X1] :
( ~ is_a_theorem(implies(a,X1))
| ~ is_a_theorem(implies(X1,sF5)) )
| spl6_20 ),
inference(resolution,[],[f1866,f216]) ).
fof(f1866,plain,
( ~ is_a_theorem(implies(a,sF5))
| spl6_20 ),
inference(avatar_component_clause,[],[f1864]) ).
fof(f1864,plain,
( spl6_20
<=> is_a_theorem(implies(a,sF5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).
fof(f1871,plain,
( ~ spl6_20
| ~ spl6_21 ),
inference(avatar_split_clause,[],[f1851,f1868,f1864]) ).
fof(f1851,plain,
( ~ is_a_theorem(implies(sF0,sF5))
| ~ is_a_theorem(implies(a,sF5)) ),
inference(resolution,[],[f467,f194]) ).
fof(f194,plain,
! [X0] :
( is_a_theorem(implies(implies(X0,b),sF0))
| ~ is_a_theorem(implies(a,X0)) ),
inference(resolution,[],[f98,f1]) ).
fof(f98,plain,
! [X0] : is_a_theorem(implies(implies(a,X0),implies(implies(X0,b),sF0))),
inference(superposition,[],[f5,f7]) ).
fof(f7,plain,
implies(a,b) = sF0,
introduced(function_definition,[]) ).
fof(f467,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(sF5,X0),X1))
| ~ is_a_theorem(implies(X1,sF5)) ),
inference(resolution,[],[f463,f216]) ).
fof(f463,plain,
! [X4] : ~ is_a_theorem(implies(implies(sF5,X4),sF5)),
inference(resolution,[],[f455,f4]) ).
fof(f455,plain,
! [X5] :
( ~ is_a_theorem(implies(X5,sF5))
| ~ is_a_theorem(X5) ),
inference(resolution,[],[f433,f21]) ).
fof(f433,plain,
! [X64] :
( ~ is_a_theorem(implies(sF1,X64))
| ~ is_a_theorem(implies(X64,sF5)) ),
inference(resolution,[],[f216,f322]) ).
fof(f322,plain,
~ is_a_theorem(implies(sF1,sF5)),
inference(subsumption_resolution,[],[f319,f13]) ).
fof(f13,plain,
~ is_a_theorem(sF5),
inference(definition_folding,[],[f6,f12,f11,f10,f9,f8,f7]) ).
fof(f6,axiom,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))),
file('/export/starexec/sandbox2/tmp/tmp.ztqRFRljMG/Vampire---4.8_9612',prove_ic_JLukasiewicz) ).
fof(f319,plain,
( ~ is_a_theorem(implies(sF1,sF5))
| is_a_theorem(sF5) ),
inference(resolution,[],[f209,f77]) ).
fof(f1414,plain,
spl6_18,
inference(avatar_contradiction_clause,[],[f1413]) ).
fof(f1413,plain,
( $false
| spl6_18 ),
inference(subsumption_resolution,[],[f1407,f19]) ).
fof(f19,plain,
is_a_theorem(implies(sF3,sF4)),
inference(superposition,[],[f3,f11]) ).
fof(f1407,plain,
( ~ is_a_theorem(implies(sF3,sF4))
| spl6_18 ),
inference(resolution,[],[f1384,f16]) ).
fof(f16,plain,
is_a_theorem(implies(a,sF3)),
inference(superposition,[],[f3,f10]) ).
fof(f1384,plain,
( ! [X0] :
( ~ is_a_theorem(implies(a,X0))
| ~ is_a_theorem(implies(X0,sF4)) )
| spl6_18 ),
inference(resolution,[],[f1375,f216]) ).
fof(f1375,plain,
( ~ is_a_theorem(implies(a,sF4))
| spl6_18 ),
inference(avatar_component_clause,[],[f1373]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL080-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n011.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 : Thu Aug 24 17:32:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.ztqRFRljMG/Vampire---4.8_9612
% 0.14/0.35 % (9724)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (9727)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)
% 0.21/0.41 % (9726)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)
% 0.21/0.41 % (9725)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)
% 0.21/0.41 % (9730)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)
% 0.21/0.41 % (9728)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)
% 0.21/0.42 % (9729)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)
% 0.21/0.45 % (9731)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)
% 2.98/0.81 % (9729)First to succeed.
% 2.98/0.82 % (9729)Refutation found. Thanks to Tanya!
% 2.98/0.82 % SZS status Unsatisfiable for Vampire---4
% 2.98/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 2.98/0.82 % (9729)------------------------------
% 2.98/0.82 % (9729)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 2.98/0.82 % (9729)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 2.98/0.82 % (9729)Termination reason: Refutation
% 2.98/0.82
% 2.98/0.82 % (9729)Memory used [KB]: 12025
% 2.98/0.82 % (9729)Time elapsed: 0.400 s
% 2.98/0.82 % (9729)------------------------------
% 2.98/0.82 % (9729)------------------------------
% 2.98/0.82 % (9724)Success in time 0.462 s
% 2.98/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------