TSTP Solution File: LCL006-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL006-1 : 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 : n023.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 08:21:23 EDT 2023
% Result : Unsatisfiable 0.21s 0.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 26 unt; 0 def)
% Number of atoms : 50 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 27 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 27 (; 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2043,plain,
$false,
inference(subsumption_resolution,[],[f2042,f133]) ).
fof(f133,plain,
is_a_theorem(equivalent(sF2,equivalent(a,equivalent(b,sF1)))),
inference(superposition,[],[f65,f7]) ).
fof(f7,plain,
equivalent(sF0,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f65,plain,
! [X0] : is_a_theorem(equivalent(equivalent(sF0,X0),equivalent(a,equivalent(b,X0)))),
inference(superposition,[],[f3,f5]) ).
fof(f5,plain,
equivalent(a,b) = sF0,
introduced(function_definition,[]) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X0,equivalent(X1,X2)))),
file('/export/starexec/sandbox2/tmp/tmp.sw7bL4OeKm/Vampire---4.8_15055',ec_5) ).
fof(f2042,plain,
~ is_a_theorem(equivalent(sF2,equivalent(a,equivalent(b,sF1)))),
inference(forward_literal_rewriting,[],[f2041,f107]) ).
fof(f107,plain,
! [X2,X3,X4] :
( is_a_theorem(equivalent(equivalent(X2,X3),X4))
| ~ is_a_theorem(equivalent(X2,equivalent(X3,X4))) ),
inference(resolution,[],[f85,f3]) ).
fof(f85,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X0)
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f48,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.sw7bL4OeKm/Vampire---4.8_15055',condensed_detachment) ).
fof(f48,plain,
! [X0,X1] :
( is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X1,X0)) ),
inference(resolution,[],[f2,f1]) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))),
file('/export/starexec/sandbox2/tmp/tmp.sw7bL4OeKm/Vampire---4.8_15055',ec_4) ).
fof(f2041,plain,
~ is_a_theorem(equivalent(equivalent(sF2,a),equivalent(b,sF1))),
inference(forward_literal_rewriting,[],[f2039,f107]) ).
fof(f2039,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(sF2,a),b),sF1)),
inference(resolution,[],[f2027,f48]) ).
fof(f2027,plain,
~ is_a_theorem(equivalent(sF1,equivalent(equivalent(sF2,a),b))),
inference(forward_literal_rewriting,[],[f2025,f107]) ).
fof(f2025,plain,
~ is_a_theorem(equivalent(equivalent(sF1,equivalent(sF2,a)),b)),
inference(resolution,[],[f2003,f48]) ).
fof(f2003,plain,
~ is_a_theorem(equivalent(b,equivalent(sF1,equivalent(sF2,a)))),
inference(forward_literal_rewriting,[],[f2002,f107]) ).
fof(f2002,plain,
~ is_a_theorem(equivalent(equivalent(b,sF1),equivalent(sF2,a))),
inference(forward_literal_rewriting,[],[f2000,f107]) ).
fof(f2000,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(b,sF1),sF2),a)),
inference(resolution,[],[f1957,f48]) ).
fof(f1957,plain,
~ is_a_theorem(equivalent(a,equivalent(equivalent(b,sF1),sF2))),
inference(forward_literal_rewriting,[],[f1949,f107]) ).
fof(f1949,plain,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,sF1)),sF2)),
inference(resolution,[],[f1944,f139]) ).
fof(f139,plain,
is_a_theorem(equivalent(sF3,equivalent(a,equivalent(b,sF1)))),
inference(forward_literal_rewriting,[],[f138,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(resolution,[],[f3,f1]) ).
fof(f138,plain,
is_a_theorem(equivalent(equivalent(sF3,a),equivalent(b,sF1))),
inference(superposition,[],[f66,f6]) ).
fof(f6,plain,
equivalent(c,a) = sF1,
introduced(function_definition,[]) ).
fof(f66,plain,
! [X1] : is_a_theorem(equivalent(equivalent(sF3,X1),equivalent(b,equivalent(c,X1)))),
inference(superposition,[],[f3,f8]) ).
fof(f8,plain,
equivalent(b,c) = sF3,
introduced(function_definition,[]) ).
fof(f1944,plain,
! [X5] :
( ~ is_a_theorem(equivalent(sF3,X5))
| ~ is_a_theorem(equivalent(X5,sF2)) ),
inference(subsumption_resolution,[],[f1934,f10]) ).
fof(f10,plain,
~ is_a_theorem(sF4),
inference(definition_folding,[],[f4,f9,f8,f7,f6,f5]) ).
fof(f9,plain,
equivalent(sF2,sF3) = sF4,
introduced(function_definition,[]) ).
fof(f4,axiom,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))),
file('/export/starexec/sandbox2/tmp/tmp.sw7bL4OeKm/Vampire---4.8_15055',prove_ec_1) ).
fof(f1934,plain,
! [X5] :
( ~ is_a_theorem(equivalent(sF3,X5))
| is_a_theorem(sF4)
| ~ is_a_theorem(equivalent(X5,sF2)) ),
inference(resolution,[],[f903,f85]) ).
fof(f903,plain,
! [X17] :
( is_a_theorem(equivalent(sF4,equivalent(X17,sF2)))
| ~ is_a_theorem(equivalent(sF3,X17)) ),
inference(forward_literal_rewriting,[],[f868,f64]) ).
fof(f868,plain,
! [X17] :
( is_a_theorem(equivalent(equivalent(sF4,X17),sF2))
| ~ is_a_theorem(equivalent(sF3,X17)) ),
inference(resolution,[],[f596,f69]) ).
fof(f69,plain,
! [X4] : is_a_theorem(equivalent(equivalent(sF4,X4),equivalent(sF2,equivalent(sF3,X4)))),
inference(superposition,[],[f3,f9]) ).
fof(f596,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f107,f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n023.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 : Fri Aug 25 02:47:42 EDT 2023
% 0.14/0.35 % 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.sw7bL4OeKm/Vampire---4.8_15055
% 0.14/0.36 % (15162)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (15169)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)
% 0.21/0.42 % (15165)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)
% 0.21/0.42 % (15164)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 % (15168)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 % (15167)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 % (15166)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 % (15163)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)
% 0.21/0.48 % (15167)First to succeed.
% 0.21/0.48 % (15167)Refutation found. Thanks to Tanya!
% 0.21/0.48 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.48 % (15167)------------------------------
% 0.21/0.48 % (15167)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.48 % (15167)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.48 % (15167)Termination reason: Refutation
% 0.21/0.48
% 0.21/0.48 % (15167)Memory used [KB]: 6524
% 0.21/0.48 % (15167)Time elapsed: 0.059 s
% 0.21/0.48 % (15167)------------------------------
% 0.21/0.48 % (15167)------------------------------
% 0.21/0.48 % (15162)Success in time 0.117 s
% 0.21/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------