TSTP Solution File: SYN926+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN926+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n026.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 19:46:07 EDT 2022
% Result : Theorem 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 44 ( 18 ~; 8 |; 12 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 21 ( 10 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,plain,
$false,
inference(avatar_sat_refutation,[],[f16,f18,f20]) ).
fof(f20,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f19]) ).
fof(f19,plain,
( $false
| ~ spl1_1 ),
inference(resolution,[],[f12,f9]) ).
fof(f9,plain,
q(sK0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
( q(sK0)
& p(sK0)
& ( ! [X1] : ~ p(X1)
| ! [X2] : ~ q(X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).
fof(f5,plain,
( ? [X0] :
( q(X0)
& p(X0) )
=> ( q(sK0)
& p(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f4,plain,
( ? [X0] :
( q(X0)
& p(X0) )
& ( ! [X1] : ~ p(X1)
| ! [X2] : ~ q(X2) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ? [X0] :
( q(X0)
& p(X0) )
=> ( ? [X1] : p(X1)
& ? [X2] : q(X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ? [X0] :
( q(X0)
& p(X0) )
=> ( ? [X0] : p(X0)
& ? [X0] : q(X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ? [X0] :
( q(X0)
& p(X0) )
=> ( ? [X0] : p(X0)
& ? [X0] : q(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
( ! [X2] : ~ q(X2)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f11,plain,
( spl1_1
<=> ! [X2] : ~ q(X2) ),
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,[],[f15,f8]) ).
fof(f8,plain,
p(sK0),
inference(cnf_transformation,[],[f6]) ).
fof(f15,plain,
( ! [X1] : ~ p(X1)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f14,plain,
( spl1_2
<=> ! [X1] : ~ p(X1) ),
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,
! [X2,X1] :
( ~ p(X1)
| ~ q(X2) ),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SYN926+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.30 % Computer : n026.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Aug 30 22:45:51 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.46 % (2536)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.15/0.46 % (2519)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.15/0.46 % (2528)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.15/0.46 % (2536)First to succeed.
% 0.15/0.47 % (2528)Also succeeded, but the first one will report.
% 0.15/0.47 % (2536)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Theorem for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (2536)------------------------------
% 0.15/0.47 % (2536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (2536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (2536)Termination reason: Refutation
% 0.15/0.47
% 0.15/0.47 % (2536)Memory used [KB]: 5373
% 0.15/0.47 % (2536)Time elapsed: 0.066 s
% 0.15/0.47 % (2536)Instructions burned: 1 (million)
% 0.15/0.47 % (2536)------------------------------
% 0.15/0.47 % (2536)------------------------------
% 0.15/0.47 % (2512)Success in time 0.157 s
%------------------------------------------------------------------------------