TSTP Solution File: SYN047+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN047+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n012.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 19:25:18 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 48 ( 1 unt; 0 def)
% Number of atoms : 203 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 245 ( 90 ~; 106 |; 32 &)
% ( 10 <=>; 4 =>; 0 <=; 3 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 13 ( 12 usr; 13 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f66,plain,
$false,
inference(avatar_sat_refutation,[],[f40,f45,f50,f55,f56,f57,f58,f59,f60,f61,f62,f63,f64,f65]) ).
fof(f65,plain,
( spl2_5
| spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f16,f33,f29,f47]) ).
fof(f47,plain,
( spl2_5
<=> p ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f29,plain,
( spl2_1
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f33,plain,
( spl2_2
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f16,plain,
( ~ sP0
| sP1
| p ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( sP1
| ( r
& ~ s
& p )
| ~ sP0 )
& ( ( ( ~ r
| s
| ~ p )
& sP0 )
| ~ sP1 ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( ( sP1
| ( r
& ~ s
& p )
| ~ sP0 )
& ( ( ( ~ r
| s
| ~ p )
& sP0 )
| ~ sP1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
( sP1
<=> ( ( ~ r
| s
| ~ p )
& sP0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f64,plain,
( spl2_2
| spl2_5 ),
inference(avatar_split_clause,[],[f22,f47,f33]) ).
fof(f22,plain,
( p
| sP0 ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( sP0
| ( p
& ~ q
& ~ s ) )
& ( ~ p
| q
| s
| ~ sP0 ) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
( ( sP0
| ( p
& ~ q
& ~ s ) )
& ( ~ p
| q
| s
| ~ sP0 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,plain,
( sP0
<=> ( ~ p
| q
| s ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f63,plain,
( ~ spl2_3
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f26,f29,f37]) ).
fof(f37,plain,
( spl2_3
<=> s ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f26,plain,
( ~ sP1
| ~ s ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( ( p
& ~ s
& ( ~ q
| r ) )
| ~ sP1 )
& ( ~ p
| s
| ( q
& ~ r )
| sP1 ) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
( ( ( p
& ~ s
& ( ~ q
| r ) )
| ~ sP1 )
& ( ~ p
| s
| ( q
& ~ r )
| sP1 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
( sP1
<~> ( ~ p
| s
| ( q
& ~ r ) ) ),
inference(definition_folding,[],[f4,f6,f5]) ).
fof(f4,plain,
( ( ( ~ r
| s
| ~ p )
& ( ~ p
| q
| s ) )
<~> ( ~ p
| s
| ( q
& ~ r ) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
( ( s
| ~ p
| ( q
& ~ r ) )
<~> ( ( ~ r
| s
| ~ p )
& ( ~ p
| q
| s ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ( p
& ( q
=> r ) )
=> s )
<=> ( ( ~ r
| s
| ~ p )
& ( ~ p
| q
| s ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ( p
& ( q
=> r ) )
=> s )
<=> ( ( ~ r
| s
| ~ p )
& ( ~ p
| q
| s ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel17) ).
fof(f62,plain,
( ~ spl2_6
| ~ spl2_5
| spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f23,f37,f29,f47,f52]) ).
fof(f52,plain,
( spl2_6
<=> r ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f23,plain,
( s
| sP1
| ~ p
| ~ r ),
inference(cnf_transformation,[],[f13]) ).
fof(f61,plain,
( spl2_3
| spl2_4
| ~ spl2_5
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f19,f33,f47,f42,f37]) ).
fof(f42,plain,
( spl2_4
<=> q ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f19,plain,
( ~ sP0
| ~ p
| q
| s ),
inference(cnf_transformation,[],[f11]) ).
fof(f60,plain,
( spl2_1
| spl2_6
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f18,f33,f52,f29]) ).
fof(f18,plain,
( ~ sP0
| r
| sP1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f59,plain,
( spl2_2
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f20,f37,f33]) ).
fof(f20,plain,
( ~ s
| sP0 ),
inference(cnf_transformation,[],[f11]) ).
fof(f58,plain,
( spl2_3
| ~ spl2_6
| ~ spl2_5
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f15,f29,f47,f52,f37]) ).
fof(f15,plain,
( ~ sP1
| ~ p
| ~ r
| s ),
inference(cnf_transformation,[],[f9]) ).
fof(f57,plain,
( ~ spl2_1
| spl2_5 ),
inference(avatar_split_clause,[],[f27,f47,f29]) ).
fof(f27,plain,
( p
| ~ sP1 ),
inference(cnf_transformation,[],[f13]) ).
fof(f56,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f14,f33,f29]) ).
fof(f14,plain,
( sP0
| ~ sP1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f55,plain,
( spl2_6
| ~ spl2_1
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f25,f42,f29,f52]) ).
fof(f25,plain,
( ~ q
| ~ sP1
| r ),
inference(cnf_transformation,[],[f13]) ).
fof(f50,plain,
( spl2_3
| spl2_1
| spl2_4
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f24,f47,f42,f29,f37]) ).
fof(f24,plain,
( ~ p
| q
| sP1
| s ),
inference(cnf_transformation,[],[f13]) ).
fof(f45,plain,
( ~ spl2_4
| spl2_2 ),
inference(avatar_split_clause,[],[f21,f33,f42]) ).
fof(f21,plain,
( sP0
| ~ q ),
inference(cnf_transformation,[],[f11]) ).
fof(f40,plain,
( spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f17,f37,f33,f29]) ).
fof(f17,plain,
( ~ s
| ~ sP0
| sP1 ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN047+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n012.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 Aug 30 21:23:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 % (22552)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.48 % (22552)First to succeed.
% 0.19/0.48 % (22552)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Theorem for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (22552)------------------------------
% 0.19/0.48 % (22552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (22552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (22552)Termination reason: Refutation
% 0.19/0.48
% 0.19/0.48 % (22552)Memory used [KB]: 5884
% 0.19/0.48 % (22552)Time elapsed: 0.004 s
% 0.19/0.48 % (22552)Instructions burned: 2 (million)
% 0.19/0.48 % (22552)------------------------------
% 0.19/0.48 % (22552)------------------------------
% 0.19/0.48 % (22551)Success in time 0.135 s
%------------------------------------------------------------------------------