TSTP Solution File: SYN318+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN318+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 : n003.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 19:37:29 EDT 2022
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 62 ( 23 ~; 14 |; 4 &)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 27 ( 21 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,plain,
$false,
inference(avatar_sat_refutation,[],[f16,f18,f21]) ).
fof(f21,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f20]) ).
fof(f20,plain,
( $false
| ~ spl1_1 ),
inference(resolution,[],[f19,f8]) ).
fof(f8,plain,
! [X0] : ~ big_g(X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0] :
( ! [X1] :
( big_g(X1)
| ~ big_f(X0)
| ~ big_f(X1) )
& ? [X2] :
( big_f(X2)
& ~ big_g(X0) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
! [X0] :
( ? [X2] :
( big_f(X2)
& ~ big_g(X0) )
& ! [X1] :
( big_g(X1)
| ~ big_f(X0)
| ~ big_f(X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
~ ? [X0] :
( ! [X1] :
( big_f(X1)
=> ( big_f(X0)
=> big_g(X1) ) )
=> ! [X2] :
( big_f(X2)
=> big_g(X0) ) ),
inference(pure_predicate_removal,[],[f3]) ).
fof(f3,plain,
~ ? [X0] :
( ! [X1] :
( big_f(X1)
=> ( big_f(X0)
=> big_g(X1) ) )
=> ( p
=> ! [X2] :
( big_f(X2)
=> big_g(X0) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0] :
( ! [X1] :
( big_f(X1)
=> ( big_f(X0)
=> big_g(X1) ) )
=> ( p
=> ! [X1] :
( big_f(X1)
=> big_g(X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0] :
( ! [X1] :
( big_f(X1)
=> ( big_f(X0)
=> big_g(X1) ) )
=> ( p
=> ! [X1] :
( big_f(X1)
=> big_g(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_2_4) ).
fof(f19,plain,
( ! [X0] : big_g(sK0(X0))
| ~ spl1_1 ),
inference(resolution,[],[f12,f9]) ).
fof(f9,plain,
! [X0] : big_f(sK0(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f12,plain,
( ! [X1] :
( ~ big_f(X1)
| big_g(X1) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f11,plain,
( spl1_1
<=> ! [X1] :
( big_g(X1)
| ~ big_f(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f18,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f17]) ).
fof(f17,plain,
( $false
| ~ spl1_2 ),
inference(resolution,[],[f9,f15]) ).
fof(f15,plain,
( ! [X0] : ~ big_f(X0)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f14,plain,
( spl1_2
<=> ! [X0] : ~ big_f(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f16,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f7,f14,f11]) ).
fof(f7,plain,
! [X0,X1] :
( ~ big_f(X0)
| big_g(X1)
| ~ big_f(X1) ),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN318+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
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 21:42:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.46 % (13916)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.46 % (13916)First to succeed.
% 0.18/0.47 % (13916)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Theorem for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (13916)------------------------------
% 0.18/0.47 % (13916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47 % (13916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47 % (13916)Termination reason: Refutation
% 0.18/0.47
% 0.18/0.47 % (13916)Memory used [KB]: 5373
% 0.18/0.47 % (13916)Time elapsed: 0.094 s
% 0.18/0.47 % (13916)Instructions burned: 1 (million)
% 0.18/0.47 % (13916)------------------------------
% 0.18/0.47 % (13916)------------------------------
% 0.18/0.47 % (13912)Success in time 0.122 s
%------------------------------------------------------------------------------