TSTP Solution File: SYN411+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN411+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 : n014.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 19:37:49 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 1 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 60 ( 29 ~; 19 |; 3 &)
% ( 6 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 72 ( 45 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,plain,
$false,
inference(avatar_sat_refutation,[],[f15,f24,f26,f28]) ).
fof(f28,plain,
( ~ spl6_1
| spl6_3 ),
inference(avatar_contradiction_clause,[],[f27]) ).
fof(f27,plain,
( $false
| ~ spl6_1
| spl6_3 ),
inference(subsumption_resolution,[],[f23,f14]) ).
fof(f14,plain,
( ! [X10,X11,X9] : f(X9,X10,X11)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f13,plain,
( spl6_1
<=> ! [X9,X11,X10] : f(X9,X10,X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f23,plain,
( ~ f(sK1,sK2,sK0)
| spl6_3 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f21,plain,
( spl6_3
<=> f(sK1,sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f26,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_contradiction_clause,[],[f25]) ).
fof(f25,plain,
( $false
| ~ spl6_1
| spl6_2 ),
inference(subsumption_resolution,[],[f19,f14]) ).
fof(f19,plain,
( ~ f(sK3,sK4,sK5)
| spl6_2 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f17,plain,
( spl6_2
<=> f(sK3,sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f24,plain,
( ~ spl6_2
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f11,f21,f17]) ).
fof(f11,plain,
( ~ f(sK1,sK2,sK0)
| ~ f(sK3,sK4,sK5) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( ~ f(sK1,sK2,sK0)
| ~ f(sK3,sK4,sK5) )
& ( ! [X6,X7,X8] : f(X7,X8,X6)
| ! [X9,X10,X11] : f(X9,X10,X11) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X0,X1,X2] : ~ f(X1,X2,X0)
=> ~ f(sK1,sK2,sK0) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X3,X4,X5] : ~ f(X3,X4,X5)
=> ~ f(sK3,sK4,sK5) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ( ? [X0,X1,X2] : ~ f(X1,X2,X0)
| ? [X3,X4,X5] : ~ f(X3,X4,X5) )
& ( ! [X6,X7,X8] : f(X7,X8,X6)
| ! [X9,X10,X11] : f(X9,X10,X11) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ( ? [X2,X0,X1] : ~ f(X0,X1,X2)
| ? [X3,X5,X4] : ~ f(X3,X5,X4) )
& ( ! [X2,X0,X1] : f(X0,X1,X2)
| ! [X3,X5,X4] : f(X3,X5,X4) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
( ! [X3,X5,X4] : f(X3,X5,X4)
<~> ! [X2,X0,X1] : f(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ~ ? [X3,X4,X5] : ~ f(X3,X5,X4)
<=> ! [X2,X0,X1] : f(X0,X1,X2) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X2,X0,X1] : f(X0,X1,X2)
<=> ~ ? [X3,X5,X4] : ~ f(X3,X4,X5) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X2,X0,X1] : f(X0,X1,X2)
<=> ~ ? [X3,X5,X4] : ~ f(X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish250) ).
fof(f15,plain,
( spl6_1
| spl6_1 ),
inference(avatar_split_clause,[],[f10,f13,f13]) ).
fof(f10,plain,
! [X10,X11,X8,X6,X9,X7] :
( f(X7,X8,X6)
| f(X9,X10,X11) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN411+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
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 21:53:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 % (13091)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.44 % (13099)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)
% 0.19/0.44 % (13091)First to succeed.
% 0.19/0.45 % (13091)Refutation found. Thanks to Tanya!
% 0.19/0.45 % SZS status Theorem for theBenchmark
% 0.19/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.45 % (13091)------------------------------
% 0.19/0.45 % (13091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45 % (13091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45 % (13091)Termination reason: Refutation
% 0.19/0.45
% 0.19/0.45 % (13091)Memory used [KB]: 5373
% 0.19/0.45 % (13091)Time elapsed: 0.052 s
% 0.19/0.45 % (13091)Instructions burned: 1 (million)
% 0.19/0.45 % (13091)------------------------------
% 0.19/0.45 % (13091)------------------------------
% 0.19/0.45 % (13083)Success in time 0.102 s
%------------------------------------------------------------------------------