TSTP Solution File: NUN060+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : NUN060+1 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n010.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 : Mon Jun 24 13:32:44 EDT 2024
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 47 ( 9 unt; 0 def)
% Number of atoms : 181 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 248 ( 114 ~; 89 |; 38 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 8 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 0 con; 1-2 aty)
% Number of variables : 178 ( 134 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f162,plain,
$false,
inference(avatar_sat_refutation,[],[f86,f99,f110,f120,f131,f142,f153,f161]) ).
fof(f161,plain,
~ spl20_12,
inference(avatar_contradiction_clause,[],[f156]) ).
fof(f156,plain,
( $false
| ~ spl20_12 ),
inference(resolution,[],[f152,f46]) ).
fof(f46,plain,
! [X0] : r1(sK4(X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X53] :
? [X54] :
( ? [X55] :
( r3(X53,X55,X54)
& r1(X55) )
& id(X54,X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f152,plain,
( ! [X0] : ~ r1(X0)
| ~ spl20_12 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl20_12
<=> ! [X0] : ~ r1(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).
fof(f153,plain,
( spl20_12
| ~ spl20_10 ),
inference(avatar_split_clause,[],[f148,f140,f151]) ).
fof(f140,plain,
( spl20_10
<=> ! [X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(sK12(X1,sK12(X2,sK12(X3,X0))),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).
fof(f148,plain,
( ! [X0] : ~ r1(X0)
| ~ spl20_10 ),
inference(resolution,[],[f141,f60]) ).
fof(f60,plain,
! [X0,X1] : r2(X1,sK12(X0,X1)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X43,X44] :
? [X45] :
( ? [X48] :
( r4(X43,X44,X48)
& r3(X48,X43,X45) )
& ? [X46] :
( ? [X47] :
( r4(X43,X47,X46)
& r2(X44,X47) )
& id(X46,X45) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f141,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(sK12(X1,sK12(X2,sK12(X3,X0))),X4)
| ~ r1(X0) )
| ~ spl20_10 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f142,plain,
( spl20_10
| ~ spl20_8 ),
inference(avatar_split_clause,[],[f137,f129,f140]) ).
fof(f129,plain,
( spl20_8
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2(sK12(X0,sK12(X1,X2)),X3)
| ~ r1(X2)
| ~ r2(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).
fof(f137,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0)
| ~ r2(sK12(X1,sK12(X2,sK12(X3,X0))),X4) )
| ~ spl20_8 ),
inference(resolution,[],[f130,f60]) ).
fof(f130,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(sK12(X0,sK12(X1,X2)),X3)
| ~ r1(X2)
| ~ r2(X3,X4) )
| ~ spl20_8 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f131,plain,
( spl20_8
| ~ spl20_6 ),
inference(avatar_split_clause,[],[f126,f118,f129]) ).
fof(f118,plain,
( spl20_6
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2(X0,X1)
| ~ r2(sK12(X2,X3),X0)
| ~ r1(X3)
| ~ r2(X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).
fof(f126,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(sK12(X0,sK12(X1,X2)),X3)
| ~ r1(X2)
| ~ r2(X3,X4) )
| ~ spl20_6 ),
inference(resolution,[],[f119,f60]) ).
fof(f119,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(sK12(X2,X3),X0)
| ~ r2(X0,X1)
| ~ r1(X3)
| ~ r2(X1,X4) )
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f120,plain,
( spl20_6
| ~ spl20_5 ),
inference(avatar_split_clause,[],[f114,f108,f118]) ).
fof(f108,plain,
( spl20_5
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2(X0,X1)
| ~ r2(X2,X0)
| ~ r2(X3,X2)
| ~ r1(X4)
| ~ r2(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f114,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(X0,X1)
| ~ r2(sK12(X2,X3),X0)
| ~ r1(X3)
| ~ r2(X1,X4) )
| ~ spl20_5 ),
inference(resolution,[],[f109,f60]) ).
fof(f109,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(X4,X3)
| ~ r2(X2,X0)
| ~ r2(X3,X2)
| ~ r1(X4)
| ~ r2(X0,X1) )
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f110,plain,
( spl20_5
| ~ spl20_3 ),
inference(avatar_split_clause,[],[f105,f97,f108]) ).
fof(f97,plain,
( spl20_3
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ id(sK15(X0,X1),X2)
| ~ r2(X3,X1)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r1(X6)
| ~ r2(X6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f105,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(X0,X1)
| ~ r2(X2,X0)
| ~ r2(X3,X2)
| ~ r1(X4)
| ~ r2(X4,X3) )
| ~ spl20_3 ),
inference(resolution,[],[f98,f41]) ).
fof(f41,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] : id(X0,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13] : id(X13,X13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f98,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ id(sK15(X0,X1),X2)
| ~ r2(X3,X1)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r1(X6)
| ~ r2(X6,X5) )
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f99,plain,
( spl20_3
| ~ spl20_1 ),
inference(avatar_split_clause,[],[f88,f84,f97]) ).
fof(f84,plain,
( spl20_1
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ id(X2,X0)
| ~ r3(X1,X3,X2)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r1(X7)
| ~ r2(X7,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f88,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ id(sK15(X0,X1),X2)
| ~ r2(X3,X1)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r1(X6)
| ~ r2(X6,X5) )
| ~ spl20_1 ),
inference(resolution,[],[f85,f68]) ).
fof(f68,plain,
! [X0,X1] : r3(X0,X1,sK15(X0,X1)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X37,X38] :
? [X39] :
( ? [X42] :
( r3(X37,X38,X42)
& r2(X42,X39) )
& ? [X40] :
( ? [X41] :
( r3(X37,X41,X40)
& r2(X38,X41) )
& id(X40,X39) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f85,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r3(X1,X3,X2)
| ~ id(X2,X0)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r1(X7)
| ~ r2(X7,X6) )
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f86,plain,
spl20_1,
inference(avatar_split_clause,[],[f40,f84]) ).
fof(f40,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ id(X2,X0)
| ~ r3(X1,X3,X2)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r1(X7)
| ~ r2(X7,X6) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ~ r2(X7,X6)
| ~ r1(X7) )
| ~ r2(X6,X5) )
| ~ r2(X5,X4) )
| ~ r2(X4,X3) )
| ~ r3(X1,X3,X2) )
| ~ id(X2,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( r2(X7,X6)
& r1(X7) )
& r2(X6,X5) )
& r2(X5,X4) )
& r2(X4,X3) )
& r3(X1,X3,X2) )
& id(X2,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X62,X45,X46] :
( ? [X39] :
( ? [X40] :
( ? [X48] :
( ? [X42] :
( ? [X57] :
( r2(X57,X42)
& r1(X57) )
& r2(X42,X48) )
& r2(X48,X40) )
& r2(X40,X39) )
& r3(X45,X39,X46) )
& id(X46,X62) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X62,X45,X46] :
( ? [X39] :
( ? [X40] :
( ? [X48] :
( ? [X42] :
( ? [X57] :
( r2(X57,X42)
& r1(X57) )
& r2(X42,X48) )
& r2(X48,X40) )
& r2(X40,X39) )
& r3(X45,X39,X46) )
& id(X46,X62) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUN060+1 : TPTP v8.2.0. Released v7.3.0.
% 0.07/0.13 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jun 18 21:17:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.42 % (24631)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (24638)lrs+1011_1:13_sil=2000:tgt=full:sims=off:sp=occurrence:abs=on:newcnf=on:i=104:nm=4:ss=axioms:rawr=on:amm=off_0 on theBenchmark for (2999ds/104Mi)
% 0.22/0.43 % (24631)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (24633)lrs+1011_4:1_sil=256000:rp=on:newcnf=on:i=257909:aac=none:gsp=on_0 on theBenchmark for (2999ds/257909Mi)
% 0.22/0.43 % (24631)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (24634)dis+1002_1:1_tgt=full:sos=on:rp=on:sac=on:i=258102:ss=axioms:sd=3:cond=fast:add=off:abs=on:fde=none:sil=256000_0 on theBenchmark for (2999ds/258102Mi)
% 0.22/0.43 % (24631)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (24635)lrs+21_8:1_to=lpo:sil=2000:sp=frequency:spb=units:s2a=on:s2pl=no:i=103:sd=2:ss=included:fsr=off:fs=off_0 on theBenchmark for (2999ds/103Mi)
% 0.22/0.43 % (24631)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (24632)lrs+21_1:32_anc=all:to=lpo:sil=256000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:plsql=on:sac=on:newcnf=on:i=222662:add=off:fsr=off:rawr=on_0 on theBenchmark for (2999ds/222662Mi)
% 0.22/0.43 % (24631)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (24636)lrs+1011_4:1_to=lpo:drc=off:sil=8000:sp=frequency:abs=on:urr=on:lsd=10:nwc=5.0:s2agt=4:newcnf=on:st=5.0:s2a=on:i=107:ss=axioms:aac=none:br=off:bd=preordered_0 on theBenchmark for (2999ds/107Mi)
% 0.22/0.43 % (24632)First to succeed.
% 0.22/0.43 % (24634)Also succeeded, but the first one will report.
% 0.22/0.43 % (24636)Also succeeded, but the first one will report.
% 0.22/0.43 % (24632)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24631"
% 0.22/0.43 % (24631)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (24632)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for theBenchmark
% 0.22/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.43 % (24632)------------------------------
% 0.22/0.43 % (24632)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43 % (24632)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43 % (24632)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (24632)Memory used [KB]: 1187
% 0.22/0.43 % (24632)Time elapsed: 0.006 s
% 0.22/0.43 % (24632)Instructions burned: 6 (million)
% 0.22/0.43 % (24632)------------------------------
% 0.22/0.43 % (24632)------------------------------
% 0.22/0.43 % (24631)Success in time 0.057 s
%------------------------------------------------------------------------------