TSTP Solution File: SYO896_7 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYO896_7 : 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 : n008.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 15:45:49 EDT 2023
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 4 unt; 6 typ; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 81 ( 31 ~; 17 |; 17 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 4 ( 3 >; 1 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 21 (; 15 !; 6 ?; 21 :)
% 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(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
p: '$ki_world' > $o ).
tff(pred_def_3,type,
q: '$ki_world' > $o ).
tff(f14,plain,
$false,
inference(subsumption_resolution,[],[f13,f9]) ).
tff(f9,plain,
p(sK0),
inference(cnf_transformation,[],[f7]) ).
tff(f7,plain,
( ! [X0: '$ki_world'] :
( ~ p(X0)
| q(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) )
& ! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| ~ p(X1)
| ~ q(X1) )
& p(sK0)
& '$ki_accessible'('$ki_local_world',sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).
tff(f6,plain,
( ? [X2: '$ki_world'] :
( p(X2)
& '$ki_accessible'('$ki_local_world',X2) )
=> ( p(sK0)
& '$ki_accessible'('$ki_local_world',sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f5,plain,
( ! [X0: '$ki_world'] :
( ~ p(X0)
| q(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) )
& ! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| ~ p(X1)
| ~ q(X1) )
& ? [X2: '$ki_world'] :
( p(X2)
& '$ki_accessible'('$ki_local_world',X2) ) ),
inference(flattening,[],[f4]) ).
tff(f4,plain,
( ? [X2: '$ki_world'] :
( p(X2)
& '$ki_accessible'('$ki_local_world',X2) )
& ! [X1: '$ki_world'] :
( ~ q(X1)
| ~ p(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) )
& ! [X0: '$ki_world'] :
( q(X0)
| ~ p(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ( p(X1)
=> ~ q(X1) ) )
& ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( p(X0)
=> q(X0) ) ) )
=> ~ ? [X2: '$ki_world'] :
( p(X2)
& '$ki_accessible'('$ki_local_world',X2) ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( p(X0)
=> q(X0) ) )
& ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( p(X0)
=> ~ q(X0) ) ) )
=> ~ ? [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
& p(X0) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( p(X0)
=> q(X0) ) )
& ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( p(X0)
=> ~ q(X0) ) ) )
=> ~ ? [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
& p(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(f13,plain,
~ p(sK0),
inference(resolution,[],[f12,f8]) ).
tff(f8,plain,
'$ki_accessible'('$ki_local_world',sK0),
inference(cnf_transformation,[],[f7]) ).
tff(f12,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ~ p(X0) ),
inference(subsumption_resolution,[],[f11,f10]) ).
tff(f10,plain,
! [X1: '$ki_world'] :
( ~ q(X1)
| ~ p(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cnf_transformation,[],[f7]) ).
tff(f11,plain,
! [X0: '$ki_world'] :
( q(X0)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ p(X0) ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO896_7 : TPTP v8.2.0. Released v8.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n008.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 : Mon May 22 13:14:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (24200)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.49 % (24187)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)
% 0.20/0.49 % (24187)First to succeed.
% 0.20/0.49 % (24187)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (24187)------------------------------
% 0.20/0.49 % (24187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (24187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (24187)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (24187)Memory used [KB]: 5884
% 0.20/0.49 % (24187)Time elapsed: 0.090 s
% 0.20/0.49 % (24187)------------------------------
% 0.20/0.49 % (24187)------------------------------
% 0.20/0.49 % (24185)Success in time 0.143 s
%------------------------------------------------------------------------------