TSTP Solution File: SYO887_22 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYO887_22 : 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 : n023.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 15:45:47 EDT 2023
% Result : Theorem 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 5 unt; 7 typ; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 35 ( 11 ~; 7 |; 11 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 8 ( 5 >; 3 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 22 (; 12 !; 10 ?; 14 :)
% 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' > $i ).
tff(func_def_2,type,
sK1: '$ki_world' > $i ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
f: ( '$ki_world' * $i ) > $o ).
tff(pred_def_3,type,
'$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).
tff(f33,plain,
$false,
inference(unit_resulting_resolution,[],[f21,f23,f24,f18]) ).
tff(f18,plain,
! [X2: $i,X3: '$ki_world'] :
( ~ '$ki_exists_in_world_$i'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ f(X3,X2) ),
inference(cnf_transformation,[],[f11]) ).
tff(f11,plain,
( ! [X2] :
( ~ '$ki_exists_in_world_$i'('$ki_local_world',X2)
| ! [X3: '$ki_world'] :
( ~ f(X3,X2)
| ~ '$ki_accessible'('$ki_local_world',X3) ) )
& ! [X0: '$ki_world'] :
( ? [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
& f(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,plain,
~ ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
& f(X0,X1) ) )
=> ? [X2] :
( '$ki_exists_in_world_$i'('$ki_local_world',X2)
& ? [X3: '$ki_world'] :
( f(X3,X2)
& '$ki_accessible'('$ki_local_world',X3) ) ) ),
inference(rectify,[],[f6]) ).
tff(f6,negated_conjecture,
~ ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X3] :
( f(X0,X3)
& '$ki_exists_in_world_$i'(X0,X3) ) )
=> ? [X3] :
( '$ki_exists_in_world_$i'('$ki_local_world',X3)
& ? [X0: '$ki_world'] :
( f(X0,X3)
& '$ki_accessible'('$ki_local_world',X0) ) ) ),
inference(negated_conjecture,[],[f5]) ).
tff(f5,conjecture,
( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X3] :
( f(X0,X3)
& '$ki_exists_in_world_$i'(X0,X3) ) )
=> ? [X3] :
( '$ki_exists_in_world_$i'('$ki_local_world',X3)
& ? [X0: '$ki_world'] :
( f(X0,X3)
& '$ki_accessible'('$ki_local_world',X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f24,plain,
'$ki_exists_in_world_$i'('$ki_local_world',sK0('$ki_local_world')),
inference(unit_resulting_resolution,[],[f21,f20]) ).
tff(f20,plain,
! [X0: '$ki_world'] :
( '$ki_exists_in_world_$i'(X0,sK0(X0))
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f11]) ).
tff(f23,plain,
f('$ki_local_world',sK0('$ki_local_world')),
inference(unit_resulting_resolution,[],[f21,f19]) ).
tff(f19,plain,
! [X0: '$ki_world'] :
( f(X0,sK0(X0))
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f11]) ).
tff(f21,plain,
! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO887_22 : 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 : n023.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 13:26:42 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.43 % (2829)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.43 % (2837)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.43 % (2837)First to succeed.
% 0.18/0.43 % (2832)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.43 % (2837)Refutation found. Thanks to Tanya!
% 0.18/0.43 % SZS status Theorem for theBenchmark
% 0.18/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.43 % (2837)------------------------------
% 0.18/0.43 % (2837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.43 % (2837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.43 % (2837)Termination reason: Refutation
% 0.18/0.43
% 0.18/0.43 % (2837)Memory used [KB]: 5884
% 0.18/0.43 % (2837)Time elapsed: 0.056 s
% 0.18/0.43 % (2837)Instructions burned: 2 (million)
% 0.18/0.43 % (2837)------------------------------
% 0.18/0.43 % (2837)------------------------------
% 0.18/0.43 % (2828)Success in time 0.09 s
%------------------------------------------------------------------------------