TSTP Solution File: SYN965+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN965+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_uns --cores 0 -t %d %s
% Computer : n029.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 19:36:13 EDT 2022
% Result : Theorem 0.23s 0.54s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 2 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 72 ( 29 ~; 17 |; 19 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 52 ( 43 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f43,plain,
$false,
inference(avatar_sat_refutation,[],[f29,f37,f42]) ).
fof(f42,plain,
( spl1_2
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f40,f23,f26]) ).
fof(f26,plain,
( spl1_2
<=> ! [X2,X3] : ~ p(X2,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f23,plain,
( spl1_1
<=> ! [X0,X1] : ~ p(X0,sK0(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f40,plain,
( ! [X4,X5] : ~ p(X4,X5)
| ~ spl1_1 ),
inference(resolution,[],[f24,f12]) ).
fof(f12,plain,
! [X2,X3,X0] :
( p(X2,X0)
| ~ p(X3,X2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0,X2] :
( ( ! [X3] : ~ p(X3,X2)
& p(X2,sK0(X0)) )
| ( p(X2,X0)
& p(X0,X2)
& ~ p(X2,sK0(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).
fof(f5,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( ! [X3] : ~ p(X3,X2)
& p(X2,X1) )
| ( p(X2,X0)
& p(X0,X2)
& ~ p(X2,X1) ) )
=> ! [X2] :
( ( ! [X3] : ~ p(X3,X2)
& p(X2,sK0(X0)) )
| ( p(X2,X0)
& p(X0,X2)
& ~ p(X2,sK0(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f4,plain,
! [X0] :
? [X1] :
! [X2] :
( ( ! [X3] : ~ p(X3,X2)
& p(X2,X1) )
| ( p(X2,X0)
& p(X0,X2)
& ~ p(X2,X1) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
! [X0] :
? [X1] :
! [X2] :
( ( ~ p(X2,X1)
& p(X2,X0)
& p(X0,X2) )
| ( ! [X3] : ~ p(X3,X2)
& p(X2,X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0] :
! [X1] :
? [X2] :
( ( ( p(X2,X0)
& p(X0,X2) )
=> p(X2,X1) )
& ( p(X2,X1)
=> ? [X3] : p(X3,X2) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0] :
! [X1] :
? [X2] :
( ( ( p(X2,X0)
& p(X0,X2) )
=> p(X2,X1) )
& ( p(X2,X1)
=> ? [X3] : p(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f24,plain,
( ! [X0,X1] : ~ p(X0,sK0(X1))
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f37,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f34]) ).
fof(f34,plain,
( $false
| ~ spl1_2 ),
inference(resolution,[],[f32,f27]) ).
fof(f27,plain,
( ! [X2,X3] : ~ p(X2,X3)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f32,plain,
( ! [X4,X5] : p(X4,X5)
| ~ spl1_2 ),
inference(resolution,[],[f27,f9]) ).
fof(f9,plain,
! [X2,X0] :
( p(X2,sK0(X0))
| p(X2,X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f29,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f20,f26,f23]) ).
fof(f20,plain,
! [X10,X11,X9,X12] :
( ~ p(X9,X10)
| ~ p(X11,sK0(X12)) ),
inference(resolution,[],[f10,f11]) ).
fof(f11,plain,
! [X2,X3,X0] :
( p(X0,X2)
| ~ p(X3,X2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f10,plain,
! [X2,X3,X0] :
( ~ p(X3,X2)
| ~ p(X2,sK0(X0)) ),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : SYN965+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.16 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.38 % Computer : n029.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Tue Aug 30 22:42:57 EDT 2022
% 0.15/0.38 % CPUTime :
% 0.23/0.53 % (6399)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.23/0.53 % (6399)First to succeed.
% 0.23/0.54 % (6399)Refutation found. Thanks to Tanya!
% 0.23/0.54 % SZS status Theorem for theBenchmark
% 0.23/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.54 % (6399)------------------------------
% 0.23/0.54 % (6399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.54 % (6399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.54 % (6399)Termination reason: Refutation
% 0.23/0.54
% 0.23/0.54 % (6399)Memory used [KB]: 5884
% 0.23/0.54 % (6399)Time elapsed: 0.107 s
% 0.23/0.54 % (6399)Instructions burned: 1 (million)
% 0.23/0.54 % (6399)------------------------------
% 0.23/0.54 % (6399)------------------------------
% 0.23/0.54 % (6379)Success in time 0.151 s
%------------------------------------------------------------------------------