TSTP Solution File: SYN373+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN373+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_sat --cores 0 -t %d %s
% Computer : n004.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 19:37:43 EDT 2022
% Result : Theorem 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 48 ( 1 unt; 0 def)
% Number of atoms : 137 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 148 ( 59 ~; 54 |; 12 &)
% ( 13 <=>; 9 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 11 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 50 ( 29 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f80,plain,
$false,
inference(avatar_sat_refutation,[],[f41,f57,f67,f69,f71,f73,f75,f77,f79]) ).
fof(f79,plain,
( ~ spl7_3
| ~ spl7_7 ),
inference(avatar_contradiction_clause,[],[f78]) ).
fof(f78,plain,
( $false
| ~ spl7_3
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f36,f52]) ).
fof(f52,plain,
( ! [X1] : ~ big_q(X1)
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl7_7
<=> ! [X1] : ~ big_q(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
fof(f36,plain,
( big_q(sK1)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl7_3
<=> big_q(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
fof(f77,plain,
( ~ spl7_4
| ~ spl7_7 ),
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f76,plain,
( $false
| ~ spl7_4
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f40,f52]) ).
fof(f40,plain,
( big_q(sK2)
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl7_4
<=> big_q(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
fof(f75,plain,
( spl7_1
| ~ spl7_6 ),
inference(avatar_contradiction_clause,[],[f74]) ).
fof(f74,plain,
( $false
| spl7_1
| ~ spl7_6 ),
inference(subsumption_resolution,[],[f28,f48]) ).
fof(f48,plain,
( ! [X2] : big_p(X2)
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl7_6
<=> ! [X2] : big_p(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).
fof(f28,plain,
( ~ big_p(sK0)
| spl7_1 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f26,plain,
( spl7_1
<=> big_p(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f73,plain,
( spl7_2
| ~ spl7_6 ),
inference(avatar_contradiction_clause,[],[f72]) ).
fof(f72,plain,
( $false
| spl7_2
| ~ spl7_6 ),
inference(subsumption_resolution,[],[f32,f48]) ).
fof(f32,plain,
( ~ big_p(sK2)
| spl7_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl7_2
<=> big_p(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f71,plain,
( spl7_8
| spl7_7 ),
inference(avatar_split_clause,[],[f21,f51,f54]) ).
fof(f54,plain,
( spl7_8
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).
fof(f21,plain,
! [X2] :
( ~ big_q(X2)
| sP5 ),
inference(cnf_transformation,[],[f21_D]) ).
fof(f21_D,plain,
( ! [X2] : ~ big_q(X2)
<=> ~ sP5 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f69,plain,
( spl7_6
| ~ spl7_10 ),
inference(avatar_split_clause,[],[f20,f64,f47]) ).
fof(f64,plain,
( spl7_10
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).
fof(f20,plain,
! [X0] :
( ~ sP4
| big_p(X0) ),
inference(general_splitting,[],[f15,f19_D]) ).
fof(f19,plain,
! [X2] :
( big_p(X2)
| sP4 ),
inference(cnf_transformation,[],[f19_D]) ).
fof(f19_D,plain,
( ! [X2] : big_p(X2)
<=> ~ sP4 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
! [X2,X0] :
( big_p(X0)
| big_p(X2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( ( ! [X0] : big_p(X0)
& ! [X1] : ~ big_q(X1) )
| ! [X2] :
( ~ big_q(X2)
& big_p(X2) ) )
& ( ~ big_p(sK0)
| big_q(sK1)
| big_q(sK2)
| ~ big_p(sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f10,f9,f8]) ).
fof(f8,plain,
( ? [X3] : ~ big_p(X3)
=> ~ big_p(sK0) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
( ? [X4] : big_q(X4)
=> big_q(sK1) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ? [X5] :
( big_q(X5)
| ~ big_p(X5) )
=> ( big_q(sK2)
| ~ big_p(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
( ( ( ! [X0] : big_p(X0)
& ! [X1] : ~ big_q(X1) )
| ! [X2] :
( ~ big_q(X2)
& big_p(X2) ) )
& ( ? [X3] : ~ big_p(X3)
| ? [X4] : big_q(X4)
| ? [X5] :
( big_q(X5)
| ~ big_p(X5) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,plain,
( ( ( ! [X1] : big_p(X1)
& ! [X2] : ~ big_q(X2) )
| ! [X0] :
( ~ big_q(X0)
& big_p(X0) ) )
& ( ? [X1] : ~ big_p(X1)
| ? [X2] : big_q(X2)
| ? [X0] :
( big_q(X0)
| ~ big_p(X0) ) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
( ( ( ! [X1] : big_p(X1)
& ! [X2] : ~ big_q(X2) )
| ! [X0] :
( ~ big_q(X0)
& big_p(X0) ) )
& ( ? [X1] : ~ big_p(X1)
| ? [X2] : big_q(X2)
| ? [X0] :
( big_q(X0)
| ~ big_p(X0) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
( ? [X0] :
( big_q(X0)
| ~ big_p(X0) )
<~> ( ? [X1] : ~ big_p(X1)
| ? [X2] : big_q(X2) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ? [X0] :
( big_p(X0)
=> big_q(X0) )
<=> ( ! [X1] : big_p(X1)
=> ? [X2] : big_q(X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ? [X0] :
( big_p(X0)
=> big_q(X0) )
<=> ( ! [X0] : big_p(X0)
=> ? [X0] : big_q(X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ? [X0] :
( big_p(X0)
=> big_q(X0) )
<=> ( ! [X0] : big_p(X0)
=> ? [X0] : big_q(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2124) ).
fof(f67,plain,
( spl7_10
| spl7_6 ),
inference(avatar_split_clause,[],[f19,f47,f64]) ).
fof(f57,plain,
( spl7_7
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f22,f54,f51]) ).
fof(f22,plain,
! [X1] :
( ~ sP5
| ~ big_q(X1) ),
inference(general_splitting,[],[f14,f21_D]) ).
fof(f14,plain,
! [X2,X1] :
( ~ big_q(X1)
| ~ big_q(X2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f41,plain,
( ~ spl7_1
| ~ spl7_2
| spl7_3
| spl7_4 ),
inference(avatar_split_clause,[],[f12,f38,f34,f30,f26]) ).
fof(f12,plain,
( big_q(sK2)
| big_q(sK1)
| ~ big_p(sK2)
| ~ big_p(sK0) ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN373+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_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 21:45:34 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.44 % (11063)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 (3000ds/99Mi)
% 0.20/0.44 % (11055)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.44 % (11055)Instruction limit reached!
% 0.20/0.44 % (11055)------------------------------
% 0.20/0.44 % (11055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.44 % (11055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.44 % (11055)Termination reason: Unknown
% 0.20/0.44 % (11055)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (11055)Memory used [KB]: 5373
% 0.20/0.44 % (11055)Time elapsed: 0.004 s
% 0.20/0.44 % (11055)Instructions burned: 2 (million)
% 0.20/0.44 % (11055)------------------------------
% 0.20/0.44 % (11055)------------------------------
% 0.20/0.44 % (11063)First to succeed.
% 0.20/0.44 % (11063)Refutation found. Thanks to Tanya!
% 0.20/0.44 % SZS status Theorem for theBenchmark
% 0.20/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.44 % (11063)------------------------------
% 0.20/0.44 % (11063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.44 % (11063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.44 % (11063)Termination reason: Refutation
% 0.20/0.44
% 0.20/0.44 % (11063)Memory used [KB]: 5373
% 0.20/0.44 % (11063)Time elapsed: 0.058 s
% 0.20/0.44 % (11063)Instructions burned: 2 (million)
% 0.20/0.44 % (11063)------------------------------
% 0.20/0.44 % (11063)------------------------------
% 0.20/0.44 % (11046)Success in time 0.094 s
%------------------------------------------------------------------------------