TSTP Solution File: SWV005-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV005-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 : Tue Apr 30 16:36:06 EDT 2024
% Result : Unsatisfiable 0.12s 0.35s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 24
% Syntax : Number of formulae : 41 ( 21 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 65 ( 29 ~; 24 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 13 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f80,plain,
$false,
inference(avatar_sat_refutation,[],[f28,f33,f38,f43,f48,f53,f57,f61,f65,f69,f74,f78,f79]) ).
fof(f79,plain,
( spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f70,f67,f50,f30,f25]) ).
fof(f25,plain,
( spl0_1
<=> less_than(n,k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f30,plain,
( spl0_2
<=> less_than(k,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f50,plain,
( spl0_6
<=> less_than(a(k),a(predecessor(l))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f67,plain,
( spl0_10
<=> ! [X0] :
( less_than(X0,l)
| ~ less_than(a(X0),a(predecessor(l)))
| less_than(n,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f70,plain,
( less_than(k,l)
| less_than(n,k)
| ~ spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f68,f52]) ).
fof(f52,plain,
( less_than(a(k),a(predecessor(l)))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f68,plain,
( ! [X0] :
( ~ less_than(a(X0),a(predecessor(l)))
| less_than(X0,l)
| less_than(n,X0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f78,plain,
spl0_12,
inference(avatar_split_clause,[],[f6,f76]) ).
fof(f76,plain,
( spl0_12
<=> ! [X0] : less_than(X0,successor(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f6,axiom,
! [X0] : less_than(X0,successor(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_than_successor) ).
fof(f74,plain,
spl0_11,
inference(avatar_split_clause,[],[f5,f72]) ).
fof(f72,plain,
( spl0_11
<=> ! [X0] : less_than(predecessor(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f5,axiom,
! [X0] : less_than(predecessor(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',predecessor_less_than) ).
fof(f69,plain,
( spl0_10
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f20,f45,f67]) ).
fof(f45,plain,
( spl0_5
<=> less_than(one,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f20,axiom,
! [X0] :
( ~ less_than(one,l)
| less_than(X0,l)
| less_than(n,X0)
| ~ less_than(a(X0),a(predecessor(l))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f65,plain,
spl0_9,
inference(avatar_split_clause,[],[f9,f63]) ).
fof(f63,plain,
( spl0_9
<=> ! [X0] : ~ less_than(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f9,axiom,
! [X0] : ~ less_than(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_not_less_than_x) ).
fof(f61,plain,
spl0_8,
inference(avatar_split_clause,[],[f21,f59]) ).
fof(f59,plain,
( spl0_8
<=> ! [X0] :
( ~ less_than(X0,l)
| ~ less_than(one,X0)
| ~ less_than(a(X0),a(predecessor(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f21,axiom,
! [X0] :
( ~ less_than(X0,l)
| ~ less_than(one,X0)
| ~ less_than(a(X0),a(predecessor(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f57,plain,
spl0_7,
inference(avatar_split_clause,[],[f19,f55]) ).
fof(f55,plain,
( spl0_7
<=> ! [X0] :
( less_than(X0,l)
| ~ less_than(X0,successor(n))
| ~ less_than(a(X0),a(k)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f19,axiom,
! [X0] :
( less_than(X0,l)
| ~ less_than(X0,successor(n))
| ~ less_than(a(X0),a(k)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f53,plain,
spl0_6,
inference(avatar_split_clause,[],[f18,f50]) ).
fof(f18,axiom,
less_than(a(k),a(predecessor(l))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f48,plain,
spl0_5,
inference(avatar_split_clause,[],[f17,f45]) ).
fof(f17,axiom,
less_than(one,l),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f43,plain,
spl0_4,
inference(avatar_split_clause,[],[f16,f40]) ).
fof(f40,plain,
( spl0_4
<=> less_than(l,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f16,axiom,
less_than(l,n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f38,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f15,f35]) ).
fof(f35,plain,
( spl0_3
<=> less_than(k,i) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f15,axiom,
~ less_than(k,i),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f33,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f14,f30]) ).
fof(f14,axiom,
~ less_than(k,l),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f28,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f13,f25]) ).
fof(f13,axiom,
~ less_than(n,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 04:51:33 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (1280)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (1285)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.35 % (1283)WARNING: value z3 for option sas not known
% 0.12/0.35 % (1282)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35 % (1284)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35 % (1285)First to succeed.
% 0.12/0.35 % (1283)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.35 % (1287)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.35 % (1286)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.35 % (1281)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.35 TRYING [1]
% 0.12/0.35 TRYING [2]
% 0.12/0.35 % (1285)Refutation found. Thanks to Tanya!
% 0.12/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.35 % (1285)------------------------------
% 0.12/0.35 % (1285)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.35 % (1285)Termination reason: Refutation
% 0.12/0.35
% 0.12/0.35 % (1285)Memory used [KB]: 791
% 0.12/0.35 % (1285)Time elapsed: 0.003 s
% 0.12/0.35 % (1285)Instructions burned: 4 (million)
% 0.12/0.35 % (1285)------------------------------
% 0.12/0.35 % (1285)------------------------------
% 0.12/0.35 % (1280)Success in time 0.017 s
%------------------------------------------------------------------------------