TSTP Solution File: SYO894_8 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYO894_8 : TPTP v8.2.0. Released v8.2.0.
% 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 : n022.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 : Mon May 22 15:45:48 EDT 2023
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 42 ( 1 unt; 6 typ; 0 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 158 ( 65 ~; 54 |; 21 &)
% ( 8 <=>; 8 =>; 0 <=; 2 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 28 (; 19 !; 9 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_1,type,
sK0: '$ki_world' ).
tff(func_def_2,type,
sK1: '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
p: '$ki_world' > $o ).
tff(f60,plain,
$false,
inference(avatar_sat_refutation,[],[f30,f35,f44,f45,f46,f56,f59]) ).
tff(f59,plain,
( ~ spl2_1
| ~ spl2_4
| ~ spl2_5 ),
inference(avatar_contradiction_clause,[],[f58]) ).
tff(f58,plain,
( $false
| ~ spl2_1
| ~ spl2_4
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f57,f24]) ).
tff(f24,plain,
( '$ki_accessible'('$ki_local_world',sK1)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f22]) ).
tff(f22,plain,
( spl2_1
<=> '$ki_accessible'('$ki_local_world',sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
tff(f57,plain,
( ~ '$ki_accessible'('$ki_local_world',sK1)
| ~ spl2_4
| ~ spl2_5 ),
inference(unit_resulting_resolution,[],[f39,f43]) ).
tff(f43,plain,
( ! [X3: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X3)
| ~ p(X3) )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f42]) ).
tff(f42,plain,
( spl2_5
<=> ! [X3: '$ki_world'] :
( ~ p(X3)
| ~ '$ki_accessible'('$ki_local_world',X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
tff(f39,plain,
( p(sK1)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f37]) ).
tff(f37,plain,
( spl2_4
<=> p(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
tff(f56,plain,
( ~ spl2_2
| ~ spl2_3
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f48,f42,f32,f26]) ).
tff(f26,plain,
( spl2_2
<=> p(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
tff(f32,plain,
( spl2_3
<=> '$ki_accessible'('$ki_local_world',sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
tff(f48,plain,
( ~ p(sK0)
| ~ spl2_3
| ~ spl2_5 ),
inference(unit_resulting_resolution,[],[f34,f43]) ).
tff(f34,plain,
( '$ki_accessible'('$ki_local_world',sK0)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f32]) ).
tff(f46,plain,
( spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f15,f37,f32]) ).
tff(f15,plain,
( p(sK1)
| '$ki_accessible'('$ki_local_world',sK0) ),
inference(cnf_transformation,[],[f11]) ).
tff(f11,plain,
( ( ( p(sK0)
& p(sK0)
& '$ki_accessible'('$ki_local_world',sK0) )
| ( p(sK1)
& '$ki_accessible'('$ki_local_world',sK1) ) )
& ( ! [X2: '$ki_world'] :
( ~ p(X2)
| ~ p(X2)
| ~ '$ki_accessible'('$ki_local_world',X2) )
| ! [X3: '$ki_world'] :
( ~ p(X3)
| ~ '$ki_accessible'('$ki_local_world',X3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f10,f9]) ).
tff(f9,plain,
( ? [X0: '$ki_world'] :
( p(X0)
& p(X0)
& '$ki_accessible'('$ki_local_world',X0) )
=> ( p(sK0)
& p(sK0)
& '$ki_accessible'('$ki_local_world',sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f10,plain,
( ? [X1: '$ki_world'] :
( p(X1)
& '$ki_accessible'('$ki_local_world',X1) )
=> ( p(sK1)
& '$ki_accessible'('$ki_local_world',sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f8,plain,
( ( ? [X0: '$ki_world'] :
( p(X0)
& p(X0)
& '$ki_accessible'('$ki_local_world',X0) )
| ? [X1: '$ki_world'] :
( p(X1)
& '$ki_accessible'('$ki_local_world',X1) ) )
& ( ! [X2: '$ki_world'] :
( ~ p(X2)
| ~ p(X2)
| ~ '$ki_accessible'('$ki_local_world',X2) )
| ! [X3: '$ki_world'] :
( ~ p(X3)
| ~ '$ki_accessible'('$ki_local_world',X3) ) ) ),
inference(rectify,[],[f7]) ).
tff(f7,plain,
( ( ? [X1: '$ki_world'] :
( p(X1)
& p(X1)
& '$ki_accessible'('$ki_local_world',X1) )
| ? [X0: '$ki_world'] :
( p(X0)
& '$ki_accessible'('$ki_local_world',X0) ) )
& ( ! [X1: '$ki_world'] :
( ~ p(X1)
| ~ p(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) )
| ! [X0: '$ki_world'] :
( ~ p(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) ) ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f6,plain,
( ! [X0: '$ki_world'] :
( ~ p(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) )
<~> ! [X1: '$ki_world'] :
( ~ p(X1)
| ~ p(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ) ),
inference(flattening,[],[f5]) ).
tff(f5,plain,
( ! [X0: '$ki_world'] :
( ~ p(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) )
<~> ! [X1: '$ki_world'] :
( ~ p(X1)
| ~ p(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f4,plain,
~ ( ~ ? [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
& p(X0) )
<=> ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ( p(X1)
=> ~ p(X1) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,negated_conjecture,
~ ( ~ ? [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
& p(X0) )
<=> ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( p(X0)
=> ~ p(X0) ) ) ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
( ~ ? [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
& p(X0) )
<=> ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( p(X0)
=> ~ p(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f45,plain,
( spl2_4
| spl2_2 ),
inference(avatar_split_clause,[],[f17,f26,f37]) ).
tff(f17,plain,
( p(sK0)
| p(sK1) ),
inference(cnf_transformation,[],[f11]) ).
tff(f44,plain,
( spl2_5
| spl2_5 ),
inference(avatar_split_clause,[],[f20,f42,f42]) ).
tff(f20,plain,
! [X2: '$ki_world',X3: '$ki_world'] :
( ~ p(X2)
| ~ p(X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3) ),
inference(duplicate_literal_removal,[],[f13]) ).
tff(f13,plain,
! [X2: '$ki_world',X3: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X3)
| ~ p(X2)
| ~ p(X2)
| ~ p(X3)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(cnf_transformation,[],[f11]) ).
tff(f35,plain,
( spl2_3
| spl2_1 ),
inference(avatar_split_clause,[],[f14,f22,f32]) ).
tff(f14,plain,
( '$ki_accessible'('$ki_local_world',sK1)
| '$ki_accessible'('$ki_local_world',sK0) ),
inference(cnf_transformation,[],[f11]) ).
tff(f30,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f16,f26,f22]) ).
tff(f16,plain,
( p(sK0)
| '$ki_accessible'('$ki_local_world',sK1) ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYO894_8 : TPTP v8.2.0. Released v8.2.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 22 13:09:45 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.50 % (8962)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51 % (8970)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51 % (8986)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.51 % (8970)First to succeed.
% 0.20/0.52 % (8970)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (8970)------------------------------
% 0.20/0.52 % (8970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (8970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (8970)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (8970)Memory used [KB]: 5884
% 0.20/0.52 % (8970)Time elapsed: 0.102 s
% 0.20/0.52 % (8970)Instructions burned: 2 (million)
% 0.20/0.52 % (8970)------------------------------
% 0.20/0.52 % (8970)------------------------------
% 0.20/0.52 % (8960)Success in time 0.157 s
%------------------------------------------------------------------------------