TSTP Solution File: SWV064+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n011.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 18:44:02 EDT 2022
% Result : Theorem 0.16s 0.50s
% Output : Refutation 0.16s
% 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 : 13 ( 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(f242,plain,
$false,
inference(avatar_sat_refutation,[],[f233,f234,f235,f236,f237,f238,f239,f241]) ).
fof(f241,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f240]) ).
fof(f240,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f199,f224]) ).
fof(f224,plain,
( ~ leq(n0,n0)
| spl0_5 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl0_5
<=> leq(n0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f199,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(f239,plain,
spl0_7,
inference(avatar_split_clause,[],[f173,f230]) ).
fof(f230,plain,
( spl0_7
<=> leq(pv10,minus(n135300,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f173,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( leq(n0,pv10)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& ( ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv53)
| ~ leq(n0,pv54)
| ~ leq(n0,n0)
| ~ leq(pv53,minus(n5,n1))
| ~ leq(pv54,minus(n5,n1)) )
& leq(n0,pv53)
& leq(pv54,minus(n5,n1)) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
( ( ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv53)
| ~ leq(n0,pv54)
| ~ leq(n0,n0)
| ~ leq(pv53,minus(n5,n1))
| ~ leq(pv54,minus(n5,n1)) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10)
& leq(n0,pv54)
& leq(pv54,minus(n5,n1))
& leq(pv53,minus(n5,n1))
& leq(n0,pv53) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv10,minus(n135300,n1))
& leq(n0,pv10)
& leq(n0,pv54)
& leq(pv54,minus(n5,n1))
& leq(pv53,minus(n5,n1))
& leq(n0,pv53) )
=> ( leq(n0,pv53)
& leq(pv54,minus(n5,n1))
& leq(pv53,minus(n5,n1))
& leq(n0,pv10)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(n0,n0) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv10,minus(n135300,n1))
& leq(n0,pv10)
& leq(n0,pv54)
& leq(pv54,minus(n5,n1))
& leq(pv53,minus(n5,n1))
& leq(n0,pv53) )
=> ( leq(n0,pv53)
& leq(pv54,minus(n5,n1))
& leq(pv53,minus(n5,n1))
& leq(n0,pv10)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(n0,n0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0005) ).
fof(f238,plain,
spl0_3,
inference(avatar_split_clause,[],[f172,f214]) ).
fof(f214,plain,
( spl0_3
<=> leq(pv53,minus(n5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f172,plain,
leq(pv53,minus(n5,n1)),
inference(cnf_transformation,[],[f113]) ).
fof(f237,plain,
spl0_2,
inference(avatar_split_clause,[],[f169,f210]) ).
fof(f210,plain,
( spl0_2
<=> leq(pv54,minus(n5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f169,plain,
leq(pv54,minus(n5,n1)),
inference(cnf_transformation,[],[f113]) ).
fof(f236,plain,
spl0_1,
inference(avatar_split_clause,[],[f175,f206]) ).
fof(f206,plain,
( spl0_1
<=> leq(n0,pv10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f175,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f113]) ).
fof(f235,plain,
spl0_6,
inference(avatar_split_clause,[],[f174,f226]) ).
fof(f226,plain,
( spl0_6
<=> leq(n0,pv54) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f174,plain,
leq(n0,pv54),
inference(cnf_transformation,[],[f113]) ).
fof(f234,plain,
spl0_4,
inference(avatar_split_clause,[],[f170,f218]) ).
fof(f218,plain,
( spl0_4
<=> leq(n0,pv53) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f170,plain,
leq(n0,pv53),
inference(cnf_transformation,[],[f113]) ).
fof(f233,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f171,f230,f226,f222,f218,f214,f210,f206]) ).
fof(f171,plain,
( ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv54)
| ~ leq(n0,n0)
| ~ leq(n0,pv53)
| ~ leq(pv53,minus(n5,n1))
| ~ leq(pv54,minus(n5,n1))
| ~ leq(n0,pv10) ),
inference(cnf_transformation,[],[f113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWV064+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 18:55:25 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.16/0.48 % (3795)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.48 % (3807)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.48 % (3796)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.48 % (3805)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.48 % (3799)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.16/0.48 % (3803)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.48 % (3812)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.16/0.49 % (3795)First to succeed.
% 0.16/0.49 % (3815)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.49 % (3807)Instruction limit reached!
% 0.16/0.49 % (3807)------------------------------
% 0.16/0.49 % (3807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (3807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (3807)Termination reason: Unknown
% 0.16/0.49 % (3807)Termination phase: SInE selection
% 0.16/0.49
% 0.16/0.49 % (3807)Memory used [KB]: 1407
% 0.16/0.49 % (3807)Time elapsed: 0.003 s
% 0.16/0.49 % (3807)Instructions burned: 2 (million)
% 0.16/0.49 % (3807)------------------------------
% 0.16/0.49 % (3807)------------------------------
% 0.16/0.49 % (3797)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.16/0.49 % (3804)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.49 % (3811)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.16/0.49 % (3804)Instruction limit reached!
% 0.16/0.49 % (3804)------------------------------
% 0.16/0.49 % (3804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (3813)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.50 % (3795)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Theorem for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (3795)------------------------------
% 0.16/0.50 % (3795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (3795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (3795)Termination reason: Refutation
% 0.16/0.50
% 0.16/0.50 % (3795)Memory used [KB]: 6012
% 0.16/0.50 % (3795)Time elapsed: 0.100 s
% 0.16/0.50 % (3795)Instructions burned: 5 (million)
% 0.16/0.50 % (3795)------------------------------
% 0.16/0.50 % (3795)------------------------------
% 0.16/0.50 % (3788)Success in time 0.173 s
%------------------------------------------------------------------------------