TSTP Solution File: LCL065-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL065-1 : 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 : n013.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 08:21:38 EDT 2023
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 30 unt; 0 def)
% Number of atoms : 59 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 68 (; 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5815,plain,
$false,
inference(resolution,[],[f5756,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(f7,plain,
implies(sF0,a) = sF1,
introduced(function_definition,[]) ).
fof(f8,plain,
implies(sF1,a) = sF2,
introduced(function_definition,[]) ).
fof(f5,axiom,
~ is_a_theorem(implies(implies(not(a),a),a)),
file('/export/starexec/sandbox/tmp/tmp.bJsXsKhw45/Vampire---4.8_24692',prove_cn_2) ).
fof(f5756,plain,
is_a_theorem(sF2),
inference(resolution,[],[f5720,f1027]) ).
fof(f1027,plain,
is_a_theorem(implies(implies(sF1,sF2),sF2)),
inference(forward_demodulation,[],[f992,f8]) ).
fof(f992,plain,
is_a_theorem(implies(implies(sF1,sF2),implies(sF1,a))),
inference(resolution,[],[f139,f243]) ).
fof(f243,plain,
! [X0] : is_a_theorem(implies(implies(implies(X0,sF2),implies(X0,sF1)),implies(implies(X0,sF2),implies(X0,a)))),
inference(resolution,[],[f56,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox/tmp/tmp.bJsXsKhw45/Vampire---4.8_24692',cn_35) ).
fof(f56,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X1,sF2),implies(implies(X1,sF1),implies(X1,a))),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f24,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.bJsXsKhw45/Vampire---4.8_24692',condensed_detachment) ).
fof(f24,plain,
! [X1] : is_a_theorem(implies(implies(X1,sF2),implies(implies(X1,sF1),implies(X1,a)))),
inference(superposition,[],[f3,f8]) ).
fof(f139,plain,
! [X8,X6,X7] :
( ~ is_a_theorem(implies(implies(X7,implies(X8,X8)),X6))
| is_a_theorem(X6) ),
inference(resolution,[],[f124,f1]) ).
fof(f124,plain,
! [X4,X5] : is_a_theorem(implies(X4,implies(X5,X5))),
inference(resolution,[],[f109,f2]) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.bJsXsKhw45/Vampire---4.8_24692',cn_18) ).
fof(f109,plain,
! [X8,X7] :
( ~ is_a_theorem(implies(implies(X8,X8),X7))
| is_a_theorem(X7) ),
inference(resolution,[],[f88,f1]) ).
fof(f88,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f40,f12]) ).
fof(f12,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,implies(X2,X1)),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f1,f2]) ).
fof(f40,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,X0))),
inference(resolution,[],[f12,f3]) ).
fof(f5720,plain,
! [X0] :
( ~ is_a_theorem(implies(implies(sF1,sF2),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f5581,f1]) ).
fof(f5581,plain,
is_a_theorem(implies(sF1,sF2)),
inference(resolution,[],[f3724,f1211]) ).
fof(f1211,plain,
! [X0] : is_a_theorem(implies(implies(X0,implies(sF0,not(sF1))),implies(X0,sF2))),
inference(resolution,[],[f190,f3]) ).
fof(f190,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X1,implies(implies(sF0,not(sF1)),sF2)),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f152,f1]) ).
fof(f152,plain,
! [X0] : is_a_theorem(implies(X0,implies(implies(sF0,not(sF1)),sF2))),
inference(resolution,[],[f30,f2]) ).
fof(f30,plain,
! [X0] :
( ~ is_a_theorem(implies(implies(implies(sF0,not(sF1)),sF2),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f20,f1]) ).
fof(f20,plain,
is_a_theorem(implies(implies(sF0,not(sF1)),sF2)),
inference(forward_demodulation,[],[f18,f6]) ).
fof(f18,plain,
is_a_theorem(implies(implies(not(a),not(sF1)),sF2)),
inference(superposition,[],[f4,f8]) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.bJsXsKhw45/Vampire---4.8_24692',cn_49) ).
fof(f3724,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(sF1,implies(sF0,X1)),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f3660,f1]) ).
fof(f3660,plain,
! [X0] : is_a_theorem(implies(sF1,implies(sF0,X0))),
inference(resolution,[],[f1210,f25]) ).
fof(f25,plain,
! [X0] : is_a_theorem(implies(implies(sF0,implies(a,X0)),implies(sF1,implies(sF0,X0)))),
inference(superposition,[],[f3,f7]) ).
fof(f1210,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(sF0,implies(a,X1)),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f1084,f1]) ).
fof(f1084,plain,
! [X0] : is_a_theorem(implies(sF0,implies(a,X0))),
inference(superposition,[],[f1040,f6]) ).
fof(f1040,plain,
! [X3,X4] : is_a_theorem(implies(not(X3),implies(X3,X4))),
inference(resolution,[],[f463,f175]) ).
fof(f175,plain,
! [X18,X19,X16,X17] :
( ~ is_a_theorem(implies(implies(X17,implies(implies(not(X18),not(X19)),implies(X19,X18))),X16))
| is_a_theorem(X16) ),
inference(resolution,[],[f77,f1]) ).
fof(f77,plain,
! [X2,X3,X4] : is_a_theorem(implies(X2,implies(implies(not(X3),not(X4)),implies(X4,X3)))),
inference(resolution,[],[f14,f2]) ).
fof(f14,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(not(X1),not(X2)),implies(X2,X1)),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f4,f1]) ).
fof(f463,plain,
! [X3,X4,X5] : is_a_theorem(implies(implies(X3,implies(implies(X4,X3),X5)),implies(X3,X5))),
inference(resolution,[],[f115,f93]) ).
fof(f93,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X0,X1)),implies(implies(X0,implies(X1,X2)),implies(X0,X2)))),
inference(resolution,[],[f22,f3]) ).
fof(f22,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f3,f1]) ).
fof(f115,plain,
! [X10,X11,X12,X13] :
( ~ is_a_theorem(implies(implies(X11,implies(X12,implies(X13,X12))),X10))
| is_a_theorem(X10) ),
inference(resolution,[],[f41,f1]) ).
fof(f41,plain,
! [X2,X3,X4] : is_a_theorem(implies(X2,implies(X3,implies(X4,X3)))),
inference(resolution,[],[f12,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL065-1 : 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
% 0.18/0.35 % Computer : n013.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Fri Aug 25 03:07:17 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.18/0.35 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.18/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.bJsXsKhw45/Vampire---4.8_24692
% 0.18/0.36 % (24811)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (24812)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)
% 0.21/0.42 % (24817)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 % (24813)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 % (24816)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 % (24818)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 % (24815)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 % (24814)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)
% 0.21/0.54 % (24814)First to succeed.
% 0.21/0.54 % (24814)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.54 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.54 % (24814)------------------------------
% 0.21/0.54 % (24814)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.54 % (24814)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.54 % (24814)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (24814)Memory used [KB]: 8571
% 0.21/0.54 % (24814)Time elapsed: 0.117 s
% 0.21/0.54 % (24814)------------------------------
% 0.21/0.54 % (24814)------------------------------
% 0.21/0.54 % (24811)Success in time 0.176 s
% 0.21/0.54 % Vampire---4.8 exiting
%------------------------------------------------------------------------------