TSTP Solution File: SWV410+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV410+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : Sun May 5 10:51:42 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 29 ( 15 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 18 ~; 5 |; 4 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 20 ( 16 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,plain,
$false,
inference(avatar_sat_refutation,[],[f71,f76,f80,f84,f88,f90]) ).
fof(f90,plain,
( ~ spl1_1
| ~ spl1_3 ),
inference(avatar_contradiction_clause,[],[f89]) ).
fof(f89,plain,
( $false
| ~ spl1_1
| ~ spl1_3 ),
inference(resolution,[],[f79,f70]) ).
fof(f70,plain,
( contains_slb(create_slb,sK0)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl1_1
<=> contains_slb(create_slb,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f79,plain,
( ! [X0] : ~ contains_slb(create_slb,X0)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl1_3
<=> ! [X0] : ~ contains_slb(create_slb,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f88,plain,
spl1_5,
inference(avatar_split_clause,[],[f44,f86]) ).
fof(f86,plain,
( spl1_5
<=> ! [X0] : less_than(bottom,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f44,plain,
! [X0] : less_than(bottom,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] : less_than(bottom,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bottom_smallest) ).
fof(f84,plain,
spl1_4,
inference(avatar_split_clause,[],[f43,f82]) ).
fof(f82,plain,
( spl1_4
<=> ! [X0] : less_than(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f43,plain,
! [X0] : less_than(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : less_than(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f80,plain,
spl1_3,
inference(avatar_split_clause,[],[f42,f78]) ).
fof(f42,plain,
! [X0] : ~ contains_slb(create_slb,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : ~ contains_slb(create_slb,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f76,plain,
~ spl1_2,
inference(avatar_split_clause,[],[f41,f73]) ).
fof(f73,plain,
( spl1_2
<=> isnonempty_slb(create_slb) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f41,plain,
~ isnonempty_slb(create_slb),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
~ isnonempty_slb(create_slb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f71,plain,
spl1_1,
inference(avatar_split_clause,[],[f39,f68]) ).
fof(f39,plain,
contains_slb(create_slb,sK0),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ! [X1] : ~ pair_in_list(create_slb,sK0,X1)
& contains_slb(create_slb,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f22,f33]) ).
fof(f33,plain,
( ? [X0] :
( ! [X1] : ~ pair_in_list(create_slb,X0,X1)
& contains_slb(create_slb,X0) )
=> ( ! [X1] : ~ pair_in_list(create_slb,sK0,X1)
& contains_slb(create_slb,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
? [X0] :
( ! [X1] : ~ pair_in_list(create_slb,X0,X1)
& contains_slb(create_slb,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X0] :
( contains_slb(create_slb,X0)
=> ? [X1] : pair_in_list(create_slb,X0,X1) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X0] :
( contains_slb(create_slb,X0)
=> ? [X1] : pair_in_list(create_slb,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l46_co) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV410+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n027.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 : Fri May 3 20:58:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (16559)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (16564)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.36 % (16564)First to succeed.
% 0.13/0.36 % (16564)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16559"
% 0.13/0.36 % (16564)Refutation found. Thanks to Tanya!
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.36 % (16564)------------------------------
% 0.13/0.36 % (16564)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36 % (16564)Termination reason: Refutation
% 0.13/0.36
% 0.13/0.36 % (16564)Memory used [KB]: 807
% 0.13/0.36 % (16564)Time elapsed: 0.004 s
% 0.13/0.36 % (16564)Instructions burned: 4 (million)
% 0.13/0.36 % (16559)Success in time 0.014 s
%------------------------------------------------------------------------------