TSTP Solution File: SYN356+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN356+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 : n020.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 19:37:40 EDT 2022
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 73 ( 22 ~; 16 |; 24 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f33,plain,
$false,
inference(avatar_sat_refutation,[],[f20,f28,f32]) ).
fof(f32,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f31]) ).
fof(f31,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f30,f19]) ).
fof(f19,plain,
( ~ big_q(b,b)
| spl0_2 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f17,plain,
( spl0_2
<=> big_q(b,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f30,plain,
big_q(b,b),
inference(resolution,[],[f23,f11]) ).
fof(f11,plain,
! [X0,X1] :
( ~ big_q(X0,X1)
| big_q(X0,X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
( ! [X0,X1] :
( ~ big_q(X0,X1)
| big_q(X0,X0) )
& ( ~ big_q(a,a)
| ~ big_q(b,b) )
& ! [X2,X3] :
( ( big_q(X2,X3)
& big_r(X3,X2) )
| ~ big_r(X2,X3) )
& big_r(a,b) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ! [X0,X1] :
( ~ big_q(X0,X1)
| big_q(X0,X0) )
& ( ~ big_q(a,a)
| ~ big_q(b,b) )
& ! [X3,X2] :
( ( big_q(X3,X2)
& big_r(X2,X3) )
| ~ big_r(X3,X2) )
& big_r(a,b) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ( ~ big_q(a,a)
| ~ big_q(b,b) )
& big_r(a,b)
& ! [X0,X1] :
( ~ big_q(X0,X1)
| big_q(X0,X0) )
& ! [X3,X2] :
( ( big_q(X3,X2)
& big_r(X2,X3) )
| ~ big_r(X3,X2) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( big_r(a,b)
& ! [X1,X0] :
( big_q(X0,X1)
=> big_q(X0,X0) )
& ! [X3,X2] :
( big_r(X3,X2)
=> ( big_q(X3,X2)
& big_r(X2,X3) ) ) )
=> ( big_q(b,b)
& big_q(a,a) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X2,X3] :
( big_q(X2,X3)
=> big_q(X2,X2) )
& big_r(a,b)
& ! [X1,X0] :
( big_r(X0,X1)
=> ( big_q(X0,X1)
& big_r(X1,X0) ) ) )
=> ( big_q(b,b)
& big_q(a,a) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X2,X3] :
( big_q(X2,X3)
=> big_q(X2,X2) )
& big_r(a,b)
& ! [X1,X0] :
( big_r(X0,X1)
=> ( big_q(X0,X1)
& big_r(X1,X0) ) ) )
=> ( big_q(b,b)
& big_q(a,a) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2107) ).
fof(f23,plain,
big_q(b,a),
inference(resolution,[],[f21,f9]) ).
fof(f9,plain,
! [X2,X3] :
( ~ big_r(X2,X3)
| big_q(X2,X3) ),
inference(cnf_transformation,[],[f6]) ).
fof(f21,plain,
big_r(b,a),
inference(resolution,[],[f8,f7]) ).
fof(f7,plain,
big_r(a,b),
inference(cnf_transformation,[],[f6]) ).
fof(f8,plain,
! [X2,X3] :
( ~ big_r(X2,X3)
| big_r(X3,X2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f28,plain,
spl0_1,
inference(avatar_split_clause,[],[f25,f13]) ).
fof(f13,plain,
( spl0_1
<=> big_q(a,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f25,plain,
big_q(a,a),
inference(resolution,[],[f22,f11]) ).
fof(f22,plain,
big_q(a,b),
inference(resolution,[],[f9,f7]) ).
fof(f20,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f10,f17,f13]) ).
fof(f10,plain,
( ~ big_q(b,b)
| ~ big_q(a,a) ),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN356+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % 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 : n020.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 21:49:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.49 % (9176)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.21/0.49 % (9155)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.21/0.49 % (9155)First to succeed.
% 0.21/0.50 % (9155)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (9155)------------------------------
% 0.21/0.50 % (9155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (9155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (9155)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (9155)Memory used [KB]: 5373
% 0.21/0.50 % (9155)Time elapsed: 0.100 s
% 0.21/0.50 % (9155)Instructions burned: 1 (million)
% 0.21/0.50 % (9155)------------------------------
% 0.21/0.50 % (9155)------------------------------
% 0.21/0.50 % (9147)Success in time 0.142 s
%------------------------------------------------------------------------------