TSTP Solution File: LCL204-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL204-1 : 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 : n026.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 08:22:29 EDT 2023
% Result : Unsatisfiable 0.21s 0.59s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 43 ( 19 unt; 0 def)
% Number of atoms : 83 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 84 ( 44 ~; 38 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 39 (; 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7376,plain,
$false,
inference(avatar_sat_refutation,[],[f2993,f5338,f7359]) ).
fof(f7359,plain,
~ spl7_198,
inference(avatar_contradiction_clause,[],[f7358]) ).
fof(f7358,plain,
( $false
| ~ spl7_198 ),
inference(subsumption_resolution,[],[f7357,f17]) ).
fof(f17,plain,
~ theorem(sF6),
inference(definition_folding,[],[f9,f16,f15,f14,f10,f13,f12,f11,f10]) ).
fof(f11,plain,
or(sF0,q) = sF1,
introduced(function_definition,[]) ).
fof(f12,plain,
not(sF1) = sF2,
introduced(function_definition,[]) ).
fof(f13,plain,
not(sF2) = sF3,
introduced(function_definition,[]) ).
fof(f10,plain,
not(p) = sF0,
introduced(function_definition,[]) ).
fof(f14,plain,
not(sF0) = sF4,
introduced(function_definition,[]) ).
fof(f15,plain,
or(sF4,q) = sF5,
introduced(function_definition,[]) ).
fof(f16,plain,
or(sF3,sF5) = sF6,
introduced(function_definition,[]) ).
fof(f9,axiom,
~ theorem(or(not(not(or(not(p),q))),or(not(not(p)),q))),
file('/export/starexec/sandbox/tmp/tmp.8u5NniOkHk/Vampire---4.8_7395',prove_this) ).
fof(f7357,plain,
( theorem(sF6)
| ~ spl7_198 ),
inference(forward_demodulation,[],[f7356,f16]) ).
fof(f7356,plain,
( theorem(or(sF3,sF5))
| ~ spl7_198 ),
inference(subsumption_resolution,[],[f7337,f22]) ).
fof(f22,plain,
! [X3] : axiom(or(sF3,or(X3,sF2))),
inference(superposition,[],[f2,f13]) ).
fof(f2,axiom,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.8u5NniOkHk/Vampire---4.8_7395',axiom_1_3) ).
fof(f7337,plain,
( theorem(or(sF3,sF5))
| ~ axiom(or(sF3,or(q,sF2)))
| ~ spl7_198 ),
inference(resolution,[],[f6540,f2139]) ).
fof(f2139,plain,
! [X3,X4] :
( theorem(or(sF3,or(X3,X4)))
| ~ axiom(or(sF3,or(X4,X3))) ),
inference(resolution,[],[f571,f3]) ).
fof(f3,axiom,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.8u5NniOkHk/Vampire---4.8_7395',axiom_1_4) ).
fof(f571,plain,
! [X14,X13] :
( ~ axiom(or(not(X13),X14))
| theorem(or(sF3,X14))
| ~ axiom(or(sF3,X13)) ),
inference(resolution,[],[f118,f6]) ).
fof(f6,axiom,
! [X3] :
( theorem(X3)
| ~ axiom(X3) ),
file('/export/starexec/sandbox/tmp/tmp.8u5NniOkHk/Vampire---4.8_7395',rule_1) ).
fof(f118,plain,
! [X6,X7] :
( ~ theorem(or(not(X7),X6))
| ~ axiom(or(sF3,X7))
| theorem(or(sF3,X6)) ),
inference(superposition,[],[f8,f13]) ).
fof(f8,axiom,
! [X3,X4,X5] :
( theorem(or(not(X3),X5))
| ~ axiom(or(not(X3),X4))
| ~ theorem(or(not(X4),X5)) ),
file('/export/starexec/sandbox/tmp/tmp.8u5NniOkHk/Vampire---4.8_7395',rule_3) ).
fof(f6540,plain,
( ! [X3] :
( ~ theorem(or(X3,or(sF2,q)))
| theorem(or(X3,sF5)) )
| ~ spl7_198 ),
inference(resolution,[],[f5340,f90]) ).
fof(f90,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X0,X2))) ),
inference(resolution,[],[f4,f7]) ).
fof(f7,axiom,
! [X3,X4] :
( ~ axiom(or(not(X4),X3))
| theorem(X3)
| ~ theorem(X4) ),
file('/export/starexec/sandbox/tmp/tmp.8u5NniOkHk/Vampire---4.8_7395',rule_2) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/tmp/tmp.8u5NniOkHk/Vampire---4.8_7395',axiom_1_5) ).
fof(f5340,plain,
( ! [X0] :
( ~ theorem(or(sF2,or(X0,q)))
| theorem(or(X0,sF5)) )
| ~ spl7_198 ),
inference(resolution,[],[f2992,f209]) ).
fof(f209,plain,
! [X0] :
( ~ theorem(or(sF4,or(X0,q)))
| theorem(or(X0,sF5)) ),
inference(resolution,[],[f95,f7]) ).
fof(f95,plain,
! [X1] : axiom(or(not(or(sF4,or(X1,q))),or(X1,sF5))),
inference(superposition,[],[f4,f15]) ).
fof(f2992,plain,
( ! [X4] :
( theorem(or(sF4,X4))
| ~ theorem(or(sF2,X4)) )
| ~ spl7_198 ),
inference(avatar_component_clause,[],[f2991]) ).
fof(f2991,plain,
( spl7_198
<=> ! [X4] :
( ~ theorem(or(sF2,X4))
| theorem(or(sF4,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_198])]) ).
fof(f5338,plain,
~ spl7_183,
inference(avatar_contradiction_clause,[],[f5337]) ).
fof(f5337,plain,
( $false
| ~ spl7_183 ),
inference(subsumption_resolution,[],[f5331,f20]) ).
fof(f20,plain,
! [X1] : axiom(or(sF4,or(X1,sF0))),
inference(superposition,[],[f2,f14]) ).
fof(f5331,plain,
( ~ axiom(or(sF4,or(q,sF0)))
| ~ spl7_183 ),
inference(resolution,[],[f2921,f29]) ).
fof(f29,plain,
axiom(or(not(or(q,sF0)),sF1)),
inference(superposition,[],[f3,f11]) ).
fof(f2921,plain,
( ! [X5] :
( ~ axiom(or(not(X5),sF1))
| ~ axiom(or(sF4,X5)) )
| ~ spl7_183 ),
inference(avatar_component_clause,[],[f2920]) ).
fof(f2920,plain,
( spl7_183
<=> ! [X5] :
( ~ axiom(or(not(X5),sF1))
| ~ axiom(or(sF4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_183])]) ).
fof(f2993,plain,
( spl7_183
| spl7_198 ),
inference(avatar_split_clause,[],[f2899,f2991,f2920]) ).
fof(f2899,plain,
! [X4,X5] :
( ~ theorem(or(sF2,X4))
| theorem(or(sF4,X4))
| ~ axiom(or(not(X5),sF1))
| ~ axiom(or(sF4,X5)) ),
inference(superposition,[],[f464,f12]) ).
fof(f464,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X2),X1))
| theorem(or(sF4,X1))
| ~ axiom(or(not(X0),X2))
| ~ axiom(or(sF4,X0)) ),
inference(resolution,[],[f116,f8]) ).
fof(f116,plain,
! [X2,X3] :
( ~ theorem(or(not(X3),X2))
| ~ axiom(or(sF4,X3))
| theorem(or(sF4,X2)) ),
inference(superposition,[],[f8,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL204-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.36 % Computer : n026.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu Aug 24 19:07:32 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.13/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.8u5NniOkHk/Vampire---4.8_7395
% 0.13/0.36 % (7503)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (7505)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)
% 0.21/0.42 % (7508)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)
% 0.21/0.42 % (7509)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)
% 0.21/0.42 % (7507)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)
% 0.21/0.43 % (7504)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)
% 0.21/0.43 % (7506)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)
% 0.21/0.43 % (7510)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)
% 0.21/0.58 % (7508)First to succeed.
% 0.21/0.59 % (7508)Refutation found. Thanks to Tanya!
% 0.21/0.59 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.59 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.59 % (7508)------------------------------
% 0.21/0.59 % (7508)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.59 % (7508)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.59 % (7508)Termination reason: Refutation
% 0.21/0.59
% 0.21/0.59 % (7508)Memory used [KB]: 9210
% 0.21/0.59 % (7508)Time elapsed: 0.162 s
% 0.21/0.59 % (7508)------------------------------
% 0.21/0.59 % (7508)------------------------------
% 0.21/0.59 % (7503)Success in time 0.221 s
% 0.21/0.59 % Vampire---4.8 exiting
%------------------------------------------------------------------------------