TSTP Solution File: SYN396+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN396+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 : Tue Apr 30 18:03:10 EDT 2024
% Result : Theorem 0.14s 0.36s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 1 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 66 ( 31 ~; 22 |; 3 &)
% ( 7 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 25 ( 15 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,plain,
$false,
inference(avatar_sat_refutation,[],[f20,f21,f30,f32,f34]) ).
fof(f34,plain,
( ~ spl3_2
| spl3_4 ),
inference(avatar_contradiction_clause,[],[f33]) ).
fof(f33,plain,
( $false
| ~ spl3_2
| spl3_4 ),
inference(resolution,[],[f29,f19]) ).
fof(f19,plain,
( ! [X0] : f(X0)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f18,plain,
( spl3_2
<=> ! [X0] : f(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f29,plain,
( ~ f(sK0)
| spl3_4 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f27,plain,
( spl3_4
<=> f(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f32,plain,
( ~ spl3_2
| spl3_3 ),
inference(avatar_contradiction_clause,[],[f31]) ).
fof(f31,plain,
( $false
| ~ spl3_2
| spl3_3 ),
inference(resolution,[],[f25,f19]) ).
fof(f25,plain,
( ~ f(sK1)
| spl3_3 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f23,plain,
( spl3_3
<=> f(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f30,plain,
( ~ spl3_3
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f9,f27,f23]) ).
fof(f9,plain,
( ~ f(sK0)
| ~ f(sK1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
( ( ! [X0] : f(X0)
| ! [X1] : f(X1) )
& ( ~ f(sK0)
| ~ f(sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f7,f6]) ).
fof(f6,plain,
( ? [X2] : ~ f(X2)
=> ~ f(sK0) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
( ? [X3] : ~ f(X3)
=> ~ f(sK1) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
( ( ! [X0] : f(X0)
| ! [X1] : f(X1) )
& ( ? [X2] : ~ f(X2)
| ? [X3] : ~ f(X3) ) ),
inference(rectify,[],[f4]) ).
fof(f4,plain,
( ( ! [X1] : f(X1)
| ! [X0] : f(X0) )
& ( ? [X1] : ~ f(X1)
| ? [X0] : ~ f(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,plain,
( ? [X0] : ~ f(X0)
<~> ? [X1] : ~ f(X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ~ ! [X0] : f(X0)
<=> ? [X1] : ~ f(X1) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ~ ! [X0] : f(X0)
<=> ? [X1] : ~ f(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish203) ).
fof(f21,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f12,f18,f14]) ).
fof(f14,plain,
( spl3_1
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f12,plain,
! [X1] :
( f(X1)
| ~ sP2 ),
inference(general_splitting,[],[f10,f11_D]) ).
fof(f11,plain,
! [X0] :
( f(X0)
| sP2 ),
inference(cnf_transformation,[],[f11_D]) ).
fof(f11_D,plain,
( ! [X0] : f(X0)
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f10,plain,
! [X0,X1] :
( f(X0)
| f(X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f20,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f11,f18,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN396+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 01:51:27 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (18209)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (18212)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.36 % (18212)First to succeed.
% 0.14/0.36 % (18212)Refutation found. Thanks to Tanya!
% 0.14/0.36 % SZS status Theorem for theBenchmark
% 0.14/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.36 % (18212)------------------------------
% 0.14/0.36 % (18212)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.36 % (18212)Termination reason: Refutation
% 0.14/0.36
% 0.14/0.36 % (18212)Memory used [KB]: 749
% 0.14/0.36 % (18212)Time elapsed: 0.003 s
% 0.14/0.36 % (18212)Instructions burned: 2 (million)
% 0.14/0.36 % (18212)------------------------------
% 0.14/0.36 % (18212)------------------------------
% 0.14/0.36 % (18209)Success in time 0.011 s
%------------------------------------------------------------------------------