TSTP Solution File: NLP267_3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NLP267_3 : 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 : n012.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 15:39:55 EDT 2023
% Result : Theorem 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 31 ( 6 unt; 8 typ; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 50 ( 22 ~; 16 |; 5 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 31 ( 31 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 9 ( 5 >; 4 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 14 (; 12 !; 2 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_6,type,
sK0: '$ki_world' ).
tff(func_def_7,type,
sK1: '$ki_world' > '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
price: ( '$ki_world' * $i ) > $o ).
tff(pred_def_3,type,
dest: ( '$ki_world' * $i ) > $o ).
tff(pred_def_4,type,
class: ( '$ki_world' * $i ) > $o ).
tff(f39,plain,
$false,
inference(subsumption_resolution,[],[f38,f28]) ).
tff(f28,plain,
~ price(sK0,seventy),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
( '$ki_accessible'('$ki_local_world',sK0)
& ~ price(sK0,seventy) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f12,f21]) ).
tff(f21,plain,
( ? [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
& ~ price(X0,seventy) )
=> ( '$ki_accessible'('$ki_local_world',sK0)
& ~ price(sK0,seventy) ) ),
introduced(choice_axiom,[]) ).
tff(f12,plain,
? [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
& ~ price(X0,seventy) ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,negated_conjecture,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> price(X0,seventy) ),
inference(negated_conjecture,[],[f8]) ).
tff(f8,conjecture,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> price(X0,seventy) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(f38,plain,
price(sK0,seventy),
inference(subsumption_resolution,[],[f37,f29]) ).
tff(f29,plain,
'$ki_accessible'('$ki_local_world',sK0),
inference(cnf_transformation,[],[f22]) ).
tff(f37,plain,
( ~ '$ki_accessible'('$ki_local_world',sK0)
| price(sK0,seventy) ),
inference(subsumption_resolution,[],[f36,f34]) ).
tff(f34,plain,
dest(sK0,paris),
inference(resolution,[],[f29,f32]) ).
tff(f32,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| dest(X0,paris) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| dest(X0,paris) ),
inference(ennf_transformation,[],[f6]) ).
tff(f6,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> dest(X0,paris) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',belief1) ).
tff(f36,plain,
( ~ dest(sK0,paris)
| price(sK0,seventy)
| ~ '$ki_accessible'('$ki_local_world',sK0) ),
inference(resolution,[],[f35,f26]) ).
tff(f26,plain,
! [X0: '$ki_world'] :
( ~ class(X0,second)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ dest(X0,paris)
| price(X0,seventy) ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0: '$ki_world'] :
( ~ dest(X0,paris)
| ~ class(X0,second)
| ~ '$ki_accessible'('$ki_local_world',X0)
| price(X0,seventy) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ class(X0,second)
| ~ dest(X0,paris)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( ( class(X0,second)
& dest(X0,paris) )
=> price(X0,seventy) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',law2) ).
tff(f35,plain,
class(sK0,second),
inference(resolution,[],[f29,f31]) ).
tff(f31,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| class(X0,second) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| class(X0,second) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> class(X0,second) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',belief2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11 % Problem : NLP267_3 : TPTP v8.2.0. Released v8.2.0.
% 0.12/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon May 22 12:06:59 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.45 % (8069)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)
% 0.19/0.45 % (8069)First to succeed.
% 0.19/0.46 % (8069)Refutation found. Thanks to Tanya!
% 0.19/0.46 % SZS status Theorem for theBenchmark
% 0.19/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46 % (8069)------------------------------
% 0.19/0.46 % (8069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (8069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (8069)Termination reason: Refutation
% 0.19/0.46
% 0.19/0.46 % (8069)Memory used [KB]: 5884
% 0.19/0.46 % (8069)Time elapsed: 0.072 s
% 0.19/0.46 % (8069)Instructions burned: 2 (million)
% 0.19/0.46 % (8069)------------------------------
% 0.19/0.46 % (8069)------------------------------
% 0.19/0.46 % (8067)Success in time 0.116 s
%------------------------------------------------------------------------------