TSTP Solution File: SWV064+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV064+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n022.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 : Wed Aug 31 18:55:23 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 16 unt; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 99 ( 30 ~; 26 |; 34 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f537,plain,
$false,
inference(avatar_sat_refutation,[],[f528,f529,f530,f531,f532,f533,f535,f536]) ).
fof(f536,plain,
spl61_5,
inference(avatar_split_clause,[],[f345,f517]) ).
fof(f517,plain,
( spl61_5
<=> leq(pv53,minus(n5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_5])]) ).
fof(f345,plain,
leq(pv53,minus(n5,n1)),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( leq(pv54,minus(n5,n1))
& leq(n0,pv53)
& ( ~ leq(n0,pv10)
| ~ leq(n0,pv53)
| ~ leq(pv53,minus(n5,n1))
| ~ leq(n0,pv54)
| ~ leq(pv54,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,n0) )
& leq(n0,pv10)
& leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv54) ),
inference(flattening,[],[f143]) ).
fof(f143,plain,
( ( ~ leq(n0,pv10)
| ~ leq(n0,pv53)
| ~ leq(pv53,minus(n5,n1))
| ~ leq(n0,pv54)
| ~ leq(pv54,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,n0) )
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1))
& leq(n0,pv53)
& leq(n0,pv10)
& leq(pv10,minus(n135300,n1))
& leq(n0,pv54) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1))
& leq(n0,pv53)
& leq(n0,pv10)
& leq(pv10,minus(n135300,n1))
& leq(n0,pv54) )
=> ( leq(n0,pv54)
& leq(n0,pv10)
& leq(pv53,minus(n5,n1))
& leq(n0,n0)
& leq(n0,pv53)
& leq(pv54,minus(n5,n1))
& leq(pv10,minus(n135300,n1)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1))
& leq(n0,pv53)
& leq(n0,pv10)
& leq(pv10,minus(n135300,n1))
& leq(n0,pv54) )
=> ( leq(n0,pv54)
& leq(n0,pv10)
& leq(pv53,minus(n5,n1))
& leq(n0,n0)
& leq(n0,pv53)
& leq(pv54,minus(n5,n1))
& leq(pv10,minus(n135300,n1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0005) ).
fof(f535,plain,
spl61_3,
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f534,plain,
( $false
| spl61_3 ),
inference(subsumption_resolution,[],[f511,f314]) ).
fof(f314,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_leq) ).
fof(f511,plain,
( ~ leq(n0,n0)
| spl61_3 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f509,plain,
( spl61_3
<=> leq(n0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_3])]) ).
fof(f533,plain,
spl61_1,
inference(avatar_split_clause,[],[f348,f501]) ).
fof(f501,plain,
( spl61_1
<=> leq(n0,pv53) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_1])]) ).
fof(f348,plain,
leq(n0,pv53),
inference(cnf_transformation,[],[f144]) ).
fof(f532,plain,
spl61_4,
inference(avatar_split_clause,[],[f346,f513]) ).
fof(f513,plain,
( spl61_4
<=> leq(n0,pv10) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_4])]) ).
fof(f346,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f144]) ).
fof(f531,plain,
spl61_6,
inference(avatar_split_clause,[],[f343,f521]) ).
fof(f521,plain,
( spl61_6
<=> leq(n0,pv54) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_6])]) ).
fof(f343,plain,
leq(n0,pv54),
inference(cnf_transformation,[],[f144]) ).
fof(f530,plain,
spl61_7,
inference(avatar_split_clause,[],[f349,f525]) ).
fof(f525,plain,
( spl61_7
<=> leq(pv54,minus(n5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_7])]) ).
fof(f349,plain,
leq(pv54,minus(n5,n1)),
inference(cnf_transformation,[],[f144]) ).
fof(f529,plain,
spl61_2,
inference(avatar_split_clause,[],[f344,f505]) ).
fof(f505,plain,
( spl61_2
<=> leq(pv10,minus(n135300,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_2])]) ).
fof(f344,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[],[f144]) ).
fof(f528,plain,
( ~ spl61_1
| ~ spl61_2
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| ~ spl61_7 ),
inference(avatar_split_clause,[],[f347,f525,f521,f517,f513,f509,f505,f501]) ).
fof(f347,plain,
( ~ leq(pv54,minus(n5,n1))
| ~ leq(n0,pv54)
| ~ leq(pv53,minus(n5,n1))
| ~ leq(n0,pv10)
| ~ leq(n0,n0)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv53) ),
inference(cnf_transformation,[],[f144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV064+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n022.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 Aug 30 18:59:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (11144)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.49 % (11144)First to succeed.
% 0.19/0.49 % (11137)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (11136)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (11155)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.50 % (11129)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (11152)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51 % (11147)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (11133)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51 % (11144)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (11144)------------------------------
% 0.19/0.51 % (11144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (11144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (11144)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (11144)Memory used [KB]: 5756
% 0.19/0.51 % (11144)Time elapsed: 0.096 s
% 0.19/0.51 % (11144)Instructions burned: 14 (million)
% 0.19/0.51 % (11144)------------------------------
% 0.19/0.51 % (11144)------------------------------
% 0.19/0.51 % (11127)Success in time 0.169 s
%------------------------------------------------------------------------------