TSTP Solution File: SYN628-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN628-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n002.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 : Fri Sep 1 03:42:01 EDT 2023
% Result : Unsatisfiable 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 25
% Syntax : Number of formulae : 54 ( 33 unt; 0 def)
% Number of atoms : 85 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 35 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 21 con; 0-2 aty)
% Number of variables : 46 (; 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f469,plain,
$false,
inference(resolution,[],[f436,f2]) ).
fof(f2,axiom,
! [X1] : p9(X1,X1),
file('/export/starexec/sandbox2/tmp/tmp.Vh3ygKYEfx/Vampire---4.8_22224',p9_2) ).
fof(f436,plain,
~ p9(sF4,sF4),
inference(forward_literal_rewriting,[],[f434,f402]) ).
fof(f402,plain,
! [X0] :
( ~ p9(sF4,X0)
| p9(sF12,X0) ),
inference(resolution,[],[f347,f20]) ).
fof(f20,axiom,
! [X1,X19,X20] :
( ~ p9(X1,X19)
| ~ p9(X1,X20)
| p9(X19,X20) ),
file('/export/starexec/sandbox2/tmp/tmp.Vh3ygKYEfx/Vampire---4.8_22224',p9_20) ).
fof(f347,plain,
p9(sF4,sF12),
inference(forward_demodulation,[],[f342,f44]) ).
fof(f44,plain,
f16(sF3) = sF4,
introduced(function_definition,[]) ).
fof(f342,plain,
p9(f16(sF3),sF12),
inference(resolution,[],[f333,f263]) ).
fof(f263,plain,
! [X1] :
( ~ p9(sF11,X1)
| p9(f16(X1),sF12) ),
inference(superposition,[],[f184,f53]) ).
fof(f53,plain,
f16(sF11) = sF12,
introduced(function_definition,[]) ).
fof(f184,plain,
! [X6,X5] :
( p9(f16(X5),f16(X6))
| ~ p9(X6,X5) ),
inference(resolution,[],[f63,f2]) ).
fof(f63,plain,
! [X3,X4,X5] :
( ~ p9(f16(X3),X4)
| p9(f16(X5),X4)
| ~ p9(X3,X5) ),
inference(resolution,[],[f20,f13]) ).
fof(f13,axiom,
! [X6,X5] :
( p9(f16(X5),f16(X6))
| ~ p9(X5,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.Vh3ygKYEfx/Vampire---4.8_22224',p9_13) ).
fof(f333,plain,
p9(sF11,sF3),
inference(forward_demodulation,[],[f331,f43]) ).
fof(f43,plain,
f17(c22,c27) = sF3,
introduced(function_definition,[]) ).
fof(f331,plain,
p9(sF11,f17(c22,c27)),
inference(resolution,[],[f220,f6]) ).
fof(f6,axiom,
p9(c28,c22),
file('/export/starexec/sandbox2/tmp/tmp.Vh3ygKYEfx/Vampire---4.8_22224',p9_6) ).
fof(f220,plain,
! [X0] :
( ~ p9(c28,X0)
| p9(sF11,f17(X0,c27)) ),
inference(resolution,[],[f144,f2]) ).
fof(f144,plain,
! [X2,X3] :
( ~ p9(c27,X3)
| ~ p9(c28,X2)
| p9(sF11,f17(X2,X3)) ),
inference(superposition,[],[f29,f52]) ).
fof(f52,plain,
f17(c28,c27) = sF11,
introduced(function_definition,[]) ).
fof(f29,axiom,
! [X50,X48,X49,X47] :
( p9(f17(X47,X48),f17(X49,X50))
| ~ p9(X47,X49)
| ~ p9(X48,X50) ),
file('/export/starexec/sandbox2/tmp/tmp.Vh3ygKYEfx/Vampire---4.8_22224',p9_29) ).
fof(f434,plain,
~ p9(sF12,sF4),
inference(resolution,[],[f384,f51]) ).
fof(f51,plain,
~ p20(sF4,sF10),
inference(definition_folding,[],[f35,f50,f49,f48,f47,f46,f45,f38,f37,f44,f43]) ).
fof(f37,plain,
f8(c24,c25) = sF0,
introduced(function_definition,[]) ).
fof(f38,plain,
f7(c23,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f45,plain,
f15(sF1,c22) = sF5,
introduced(function_definition,[]) ).
fof(f46,plain,
f14(c29) = sF6,
introduced(function_definition,[]) ).
fof(f47,plain,
f13(sF6) = sF7,
introduced(function_definition,[]) ).
fof(f48,plain,
f12(sF7) = sF8,
introduced(function_definition,[]) ).
fof(f49,plain,
f11(sF8) = sF9,
introduced(function_definition,[]) ).
fof(f50,plain,
f10(sF5,sF9) = sF10,
introduced(function_definition,[]) ).
fof(f35,axiom,
~ p20(f16(f17(c22,c27)),f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29)))))),
file('/export/starexec/sandbox2/tmp/tmp.Vh3ygKYEfx/Vampire---4.8_22224',not_p20_35) ).
fof(f384,plain,
! [X0] :
( p20(X0,sF10)
| ~ p9(sF12,X0) ),
inference(resolution,[],[f370,f112]) ).
fof(f112,plain,
! [X4,X5] :
( ~ p9(sF14,X4)
| ~ p9(sF12,X5)
| p20(X5,X4) ),
inference(resolution,[],[f26,f56]) ).
fof(f56,plain,
p20(sF12,sF14),
inference(definition_folding,[],[f34,f55,f49,f48,f47,f46,f54,f38,f37,f53,f52]) ).
fof(f54,plain,
f15(sF1,c28) = sF13,
introduced(function_definition,[]) ).
fof(f55,plain,
f10(sF13,sF9) = sF14,
introduced(function_definition,[]) ).
fof(f34,axiom,
p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))),
file('/export/starexec/sandbox2/tmp/tmp.Vh3ygKYEfx/Vampire---4.8_22224',p20_34) ).
fof(f26,axiom,
! [X38,X36,X37,X35] :
( ~ p20(X37,X38)
| ~ p9(X38,X36)
| ~ p9(X37,X35)
| p20(X35,X36) ),
file('/export/starexec/sandbox2/tmp/tmp.Vh3ygKYEfx/Vampire---4.8_22224',p20_26) ).
fof(f370,plain,
p9(sF14,sF10),
inference(forward_demodulation,[],[f368,f50]) ).
fof(f368,plain,
p9(sF14,f10(sF5,sF9)),
inference(resolution,[],[f237,f2]) ).
fof(f237,plain,
! [X0] :
( ~ p9(sF5,X0)
| p9(sF14,f10(X0,sF9)) ),
inference(forward_literal_rewriting,[],[f236,f221]) ).
fof(f221,plain,
! [X0] :
( ~ p9(sF5,X0)
| p9(sF13,X0) ),
inference(resolution,[],[f219,f20]) ).
fof(f219,plain,
p9(sF5,sF13),
inference(resolution,[],[f214,f2]) ).
fof(f214,plain,
! [X0] :
( ~ p9(sF13,X0)
| p9(sF5,X0) ),
inference(resolution,[],[f211,f20]) ).
fof(f211,plain,
p9(sF13,sF5),
inference(forward_demodulation,[],[f209,f45]) ).
fof(f209,plain,
p9(sF13,f15(sF1,c22)),
inference(resolution,[],[f179,f6]) ).
fof(f179,plain,
! [X1] :
( ~ p9(c28,X1)
| p9(sF13,f15(sF1,X1)) ),
inference(superposition,[],[f150,f54]) ).
fof(f150,plain,
! [X2,X0,X1] :
( p9(f15(X2,X0),f15(X2,X1))
| ~ p9(X0,X1) ),
inference(resolution,[],[f30,f1]) ).
fof(f1,axiom,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.Vh3ygKYEfx/Vampire---4.8_22224',p2_1) ).
fof(f30,axiom,
! [X51,X54,X52,X53] :
( ~ p2(X51,X53)
| ~ p9(X52,X54)
| p9(f15(X51,X52),f15(X53,X54)) ),
file('/export/starexec/sandbox2/tmp/tmp.Vh3ygKYEfx/Vampire---4.8_22224',p9_30) ).
fof(f236,plain,
! [X0] :
( ~ p9(sF13,X0)
| p9(sF14,f10(X0,sF9)) ),
inference(resolution,[],[f154,f2]) ).
fof(f154,plain,
! [X2,X3] :
( ~ p9(sF9,X3)
| ~ p9(sF13,X2)
| p9(sF14,f10(X2,X3)) ),
inference(superposition,[],[f31,f55]) ).
fof(f31,axiom,
! [X58,X56,X57,X55] :
( p9(f10(X55,X56),f10(X57,X58))
| ~ p9(X55,X57)
| ~ p9(X56,X58) ),
file('/export/starexec/sandbox2/tmp/tmp.Vh3ygKYEfx/Vampire---4.8_22224',p9_31) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN628-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 20:11:33 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.Vh3ygKYEfx/Vampire---4.8_22224
% 0.15/0.37 % (22515)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (22522)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)
% 0.22/0.43 % (22523)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)
% 0.22/0.43 % (22520)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)
% 0.22/0.43 % (22524)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)
% 0.22/0.43 % (22519)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)
% 0.22/0.43 % (22518)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)
% 0.22/0.43 % (22521)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)
% 0.22/0.45 % (22520)First to succeed.
% 0.22/0.45 % (22522)Also succeeded, but the first one will report.
% 0.22/0.45 % (22520)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.45 % (22520)------------------------------
% 0.22/0.45 % (22520)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.45 % (22520)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.45 % (22520)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (22520)Memory used [KB]: 5884
% 0.22/0.45 % (22520)Time elapsed: 0.021 s
% 0.22/0.45 % (22520)------------------------------
% 0.22/0.45 % (22520)------------------------------
% 0.22/0.45 % (22515)Success in time 0.079 s
% 0.22/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------