TSTP Solution File: SYN614-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN614-1 : 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 : n025.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 03:41:57 EDT 2023
% Result : Unsatisfiable 0.22s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 33
% Syntax : Number of formulae : 66 ( 37 unt; 0 def)
% Number of atoms : 112 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 100 ( 54 ~; 44 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 42 ( 42 usr; 29 con; 0-2 aty)
% Number of variables : 28 (; 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1045,plain,
$false,
inference(avatar_sat_refutation,[],[f1021,f1027,f1044]) ).
fof(f1044,plain,
spl22_50,
inference(avatar_contradiction_clause,[],[f1043]) ).
fof(f1043,plain,
( $false
| spl22_50 ),
inference(subsumption_resolution,[],[f1041,f2]) ).
fof(f2,axiom,
! [X1] : p7(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.lqPKJ6Mjj8/Vampire---4.8_17214',p7_2) ).
fof(f1041,plain,
( ~ p7(c25,c25)
| spl22_50 ),
inference(resolution,[],[f1022,f58]) ).
fof(f58,plain,
p7(c25,sF20),
inference(definition_folding,[],[f29,f57,f56,f55,f54,f51,f36,f35,f34,f53,f52,f51,f36,f35,f34,f50,f49,f48,f44,f34]) ).
fof(f44,plain,
f3(sF1) = sF8,
introduced(function_definition,[]) ).
fof(f48,plain,
f11(sF8) = sF11,
introduced(function_definition,[]) ).
fof(f49,plain,
f12(sF11) = sF12,
introduced(function_definition,[]) ).
fof(f50,plain,
f10(sF12,c23) = sF13,
introduced(function_definition,[]) ).
fof(f52,plain,
f10(sF14,c26) = sF15,
introduced(function_definition,[]) ).
fof(f53,plain,
f11(c24) = sF16,
introduced(function_definition,[]) ).
fof(f34,plain,
f5(c22) = sF1,
introduced(function_definition,[]) ).
fof(f35,plain,
f4(sF1) = sF2,
introduced(function_definition,[]) ).
fof(f36,plain,
f3(sF2) = sF3,
introduced(function_definition,[]) ).
fof(f51,plain,
f11(sF3) = sF14,
introduced(function_definition,[]) ).
fof(f54,plain,
f10(sF14,c27) = sF17,
introduced(function_definition,[]) ).
fof(f55,plain,
f9(sF16,sF17) = sF18,
introduced(function_definition,[]) ).
fof(f56,plain,
f8(sF15,sF18) = sF19,
introduced(function_definition,[]) ).
fof(f57,plain,
f8(sF13,sF19) = sF20,
introduced(function_definition,[]) ).
fof(f29,axiom,
p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
file('/export/starexec/sandbox/tmp/tmp.lqPKJ6Mjj8/Vampire---4.8_17214',p7_29) ).
fof(f1022,plain,
( ! [X0] :
( ~ p7(X0,sF20)
| ~ p7(X0,c25) )
| spl22_50 ),
inference(resolution,[],[f1020,f15]) ).
fof(f15,axiom,
! [X1,X16,X17] :
( p7(X16,X17)
| ~ p7(X1,X16)
| ~ p7(X1,X17) ),
file('/export/starexec/sandbox/tmp/tmp.lqPKJ6Mjj8/Vampire---4.8_17214',p7_15) ).
fof(f1020,plain,
( ~ p7(sF20,c25)
| spl22_50 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f1018,plain,
( spl22_50
<=> p7(sF20,c25) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_50])]) ).
fof(f1027,plain,
spl22_49,
inference(avatar_contradiction_clause,[],[f1026]) ).
fof(f1026,plain,
( $false
| spl22_49 ),
inference(subsumption_resolution,[],[f1025,f2]) ).
fof(f1025,plain,
( ~ p7(sF18,sF18)
| spl22_49 ),
inference(subsumption_resolution,[],[f1023,f654]) ).
fof(f654,plain,
p7(sF15,sF21),
inference(subsumption_resolution,[],[f653,f2]) ).
fof(f653,plain,
( p7(sF15,sF21)
| ~ p7(sF14,sF14) ),
inference(subsumption_resolution,[],[f632,f43]) ).
fof(f43,plain,
p2(c26,sF7),
inference(definition_folding,[],[f13,f42,f41,f40]) ).
fof(f40,plain,
f17(c21,c27) = sF5,
introduced(function_definition,[]) ).
fof(f41,plain,
f16(c28,sF5) = sF6,
introduced(function_definition,[]) ).
fof(f42,plain,
f14(sF6,c25) = sF7,
introduced(function_definition,[]) ).
fof(f13,axiom,
p2(c26,f14(f16(c28,f17(c21,c27)),c25)),
file('/export/starexec/sandbox/tmp/tmp.lqPKJ6Mjj8/Vampire---4.8_17214',p2_13) ).
fof(f632,plain,
( p7(sF15,sF21)
| ~ p2(c26,sF7)
| ~ p7(sF14,sF14) ),
inference(superposition,[],[f306,f59]) ).
fof(f59,plain,
f10(sF14,sF7) = sF21,
introduced(function_definition,[]) ).
fof(f306,plain,
! [X2,X3] :
( p7(sF15,f10(X2,X3))
| ~ p2(c26,X3)
| ~ p7(sF14,X2) ),
inference(superposition,[],[f24,f52]) ).
fof(f24,axiom,
! [X44,X45,X42,X43] :
( p7(f10(X42,X43),f10(X44,X45))
| ~ p2(X43,X45)
| ~ p7(X42,X44) ),
file('/export/starexec/sandbox/tmp/tmp.lqPKJ6Mjj8/Vampire---4.8_17214',p7_24) ).
fof(f1023,plain,
( ~ p7(sF15,sF21)
| ~ p7(sF18,sF18)
| spl22_49 ),
inference(resolution,[],[f1016,f280]) ).
fof(f280,plain,
! [X0,X1] :
( p7(sF19,f8(X0,X1))
| ~ p7(sF15,X0)
| ~ p7(sF18,X1) ),
inference(superposition,[],[f23,f56]) ).
fof(f23,axiom,
! [X40,X38,X41,X39] :
( p7(f8(X38,X39),f8(X40,X41))
| ~ p7(X38,X40)
| ~ p7(X39,X41) ),
file('/export/starexec/sandbox/tmp/tmp.lqPKJ6Mjj8/Vampire---4.8_17214',p7_23) ).
fof(f1016,plain,
( ~ p7(sF19,f8(sF21,sF18))
| spl22_49 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1014,plain,
( spl22_49
<=> p7(sF19,f8(sF21,sF18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_49])]) ).
fof(f1021,plain,
( ~ spl22_49
| ~ spl22_50 ),
inference(avatar_split_clause,[],[f1012,f1018,f1014]) ).
fof(f1012,plain,
( ~ p7(sF20,c25)
| ~ p7(sF19,f8(sF21,sF18)) ),
inference(subsumption_resolution,[],[f1011,f2]) ).
fof(f1011,plain,
( ~ p7(sF20,c25)
| ~ p7(sF13,sF13)
| ~ p7(sF19,f8(sF21,sF18)) ),
inference(resolution,[],[f1006,f281]) ).
fof(f281,plain,
! [X2,X3] :
( p7(sF20,f8(X2,X3))
| ~ p7(sF13,X2)
| ~ p7(sF19,X3) ),
inference(superposition,[],[f23,f57]) ).
fof(f1006,plain,
! [X0] :
( ~ p7(X0,f8(sF13,f8(sF21,sF18)))
| ~ p7(X0,c25) ),
inference(resolution,[],[f1005,f15]) ).
fof(f1005,plain,
~ p7(c25,f8(sF13,f8(sF21,sF18))),
inference(subsumption_resolution,[],[f1004,f37]) ).
fof(f37,plain,
p19(c23,sF3),
inference(definition_folding,[],[f6,f36,f35,f34]) ).
fof(f6,axiom,
p19(c23,f3(f4(f5(c22)))),
file('/export/starexec/sandbox/tmp/tmp.lqPKJ6Mjj8/Vampire---4.8_17214',p19_6) ).
fof(f1004,plain,
( ~ p7(c25,f8(sF13,f8(sF21,sF18)))
| ~ p19(c23,sF3) ),
inference(superposition,[],[f443,f50]) ).
fof(f443,plain,
! [X2] :
( ~ p7(c25,f8(f10(sF12,X2),f8(sF21,sF18)))
| ~ p19(X2,sF3) ),
inference(forward_demodulation,[],[f442,f55]) ).
fof(f442,plain,
! [X2] :
( ~ p7(c25,f8(f10(sF12,X2),f8(sF21,f9(sF16,sF17))))
| ~ p19(X2,sF3) ),
inference(subsumption_resolution,[],[f441,f47]) ).
fof(f47,plain,
p19(sF10,c24),
inference(definition_folding,[],[f18,f46,f45,f44,f34,f36,f35,f34]) ).
fof(f45,plain,
f18(c21,sF8) = sF9,
introduced(function_definition,[]) ).
fof(f46,plain,
f6(sF3,sF9) = sF10,
introduced(function_definition,[]) ).
fof(f18,axiom,
p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),c24),
file('/export/starexec/sandbox/tmp/tmp.lqPKJ6Mjj8/Vampire---4.8_17214',p19_18) ).
fof(f441,plain,
! [X2] :
( ~ p7(c25,f8(f10(sF12,X2),f8(sF21,f9(sF16,sF17))))
| ~ p19(sF10,c24)
| ~ p19(X2,sF3) ),
inference(subsumption_resolution,[],[f415,f39]) ).
fof(f39,plain,
p20(c24,sF4),
inference(definition_folding,[],[f7,f38,f36,f35,f34]) ).
fof(f38,plain,
f6(sF3,c21) = sF4,
introduced(function_definition,[]) ).
fof(f7,axiom,
p20(c24,f6(f3(f4(f5(c22))),c21)),
file('/export/starexec/sandbox/tmp/tmp.lqPKJ6Mjj8/Vampire---4.8_17214',p20_7) ).
fof(f415,plain,
! [X2] :
( ~ p7(c25,f8(f10(sF12,X2),f8(sF21,f9(sF16,sF17))))
| ~ p20(c24,sF4)
| ~ p19(sF10,c24)
| ~ p19(X2,sF3) ),
inference(superposition,[],[f61,f53]) ).
fof(f61,plain,
! [X62,X63] :
( ~ p7(c25,f8(f10(sF12,X62),f8(sF21,f9(f11(X63),sF17))))
| ~ p20(X63,sF4)
| ~ p19(sF10,X63)
| ~ p19(X62,sF3) ),
inference(definition_folding,[],[f31,f54,f51,f36,f35,f34,f59,f42,f41,f40,f51,f36,f35,f34,f49,f48,f44,f34,f46,f45,f44,f34,f36,f35,f34,f38,f36,f35,f34,f36,f35,f34]) ).
fof(f31,axiom,
! [X62,X63] :
( ~ p19(X62,f3(f4(f5(c22))))
| ~ p20(X63,f6(f3(f4(f5(c22))),c21))
| ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),X63)
| ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X62),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X63),f10(f11(f3(f4(f5(c22)))),c27))))) ),
file('/export/starexec/sandbox/tmp/tmp.lqPKJ6Mjj8/Vampire---4.8_17214',not_p19_31) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN614-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n025.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 20:28:23 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 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/sandbox/tmp/tmp.lqPKJ6Mjj8/Vampire---4.8_17214
% 0.15/0.37 % (17321)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (17326)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)
% 0.22/0.43 % (17327)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 % (17328)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 % (17323)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 % (17329)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 % (17324)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 % (17325)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)
% 0.22/0.46 % (17327)First to succeed.
% 0.22/0.46 % (17327)Refutation found. Thanks to Tanya!
% 0.22/0.46 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.46 % (17327)------------------------------
% 0.22/0.46 % (17327)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.46 % (17327)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.46 % (17327)Termination reason: Refutation
% 0.22/0.46
% 0.22/0.46 % (17327)Memory used [KB]: 6012
% 0.22/0.46 % (17327)Time elapsed: 0.032 s
% 0.22/0.46 % (17327)------------------------------
% 0.22/0.46 % (17327)------------------------------
% 0.22/0.46 % (17321)Success in time 0.09 s
% 0.22/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------