TSTP Solution File: SYO898_9 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYO898_9 : 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_sat --cores 0 -t %d %s
% Computer : n013.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 15:45:52 EDT 2023
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 5 unt; 6 typ; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 37 ( 13 ~; 6 |; 6 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 5 ( 4 >; 1 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 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' > '$ki_world' ).
tff(pred_def_1,type,
'$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,
$false,
inference(resolution,[],[f12,f13]) ).
tff(f13,plain,
! [X0: '$ki_world'] : ~ '$ki_accessible'('$ki_local_world',X0),
inference(subsumption_resolution,[],[f11,f10]) ).
tff(f10,plain,
! [X1: '$ki_world'] :
( p(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cnf_transformation,[],[f7]) ).
tff(f7,plain,
( ! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ~ p(X0) )
& ! [X1: '$ki_world'] :
( p(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ) ),
inference(rectify,[],[f6]) ).
tff(f6,plain,
( ! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| ~ p(X1) )
& ! [X0: '$ki_world'] :
( p(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f5,plain,
~ ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> p(X0) )
=> ? [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
& p(X1) ) ),
inference(pure_predicate_removal,[],[f4]) ).
tff(f4,plain,
~ ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> p(X0) )
=> ? [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
& ( q(X1)
=> p(X1) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,negated_conjecture,
~ ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> p(X0) )
=> ? [X0: '$ki_world'] :
( ( q(X0)
=> p(X0) )
& '$ki_accessible'('$ki_local_world',X0) ) ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> p(X0) )
=> ? [X0: '$ki_world'] :
( ( q(X0)
=> p(X0) )
& '$ki_accessible'('$ki_local_world',X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(f11,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ~ p(X0) ),
inference(cnf_transformation,[],[f7]) ).
tff(f12,plain,
! [X0: '$ki_world'] : '$ki_accessible'(X0,sK0(X0)),
inference(cnf_transformation,[],[f9]) ).
tff(f9,plain,
! [X0: '$ki_world'] : '$ki_accessible'(X0,sK0(X0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f8]) ).
tff(f8,plain,
! [X0: '$ki_world'] :
( ? [X1: '$ki_world'] : '$ki_accessible'(X0,X1)
=> '$ki_accessible'(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
tff(f1,axiom,
! [X0: '$ki_world'] :
? [X1: '$ki_world'] : '$ki_accessible'(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_serial) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO898_9 : 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_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n013.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 13:07:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (19346)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.19/0.51 % (19327)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51 % (19346)First to succeed.
% 0.19/0.51 % (19339)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)
% 0.19/0.52 % (19351)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.19/0.52 % (19346)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (19346)------------------------------
% 0.19/0.52 % (19346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (19346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (19346)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (19346)Memory used [KB]: 895
% 0.19/0.52 % (19346)Time elapsed: 0.068 s
% 0.19/0.52 % (19346)Instructions burned: 2 (million)
% 0.19/0.52 % (19346)------------------------------
% 0.19/0.52 % (19346)------------------------------
% 0.19/0.52 % (19323)Success in time 0.167 s
%------------------------------------------------------------------------------