TSTP Solution File: NLP265_17 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NLP265_17 : 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 : n004.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 : Unknown 0.19s 0.49s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 19
% Syntax : Number of formulae : 32 ( 9 unt; 15 typ; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 25 ( 13 ~; 7 |; 0 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 10 ( 10 fml; 0 var)
% Number of types : 4 ( 2 usr)
% Number of type conns : 9 ( 6 >; 3 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-1 aty)
% Number of variables : 27 (; 27 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(type_def_6,type,
'$ki_index': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_1,type,
'#idx(b_alice)': '$ki_index' ).
tff(func_def_2,type,
'#idx(b_bob)': '$ki_index' ).
tff(func_def_3,type,
'#idx(i_bob)': '$ki_index' ).
tff(func_def_4,type,
'#idx(i_alice)': '$ki_index' ).
tff(func_def_6,type,
sK0: '$ki_world' ).
tff(func_def_7,type,
sK1: '$ki_world' ).
tff(func_def_8,type,
sK2: '$ki_world' > '$ki_world' ).
tff(func_def_9,type,
sK3: '$ki_world' > '$ki_world' ).
tff(func_def_10,type,
sK4: '$ki_world' > '$ki_world' ).
tff(func_def_11,type,
sK5: '$ki_world' > '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_index' * '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
bigcity: ( '$ki_world' * $i ) > $o ).
tff(f55,plain,
$false,
inference(subsumption_resolution,[],[f54,f53]) ).
tff(f53,plain,
! [X1: '$ki_world'] : ~ bigcity(X1,portland),
inference(subsumption_resolution,[],[f52,f41]) ).
tff(f41,plain,
! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'('#idx(b_alice)',X1,X0),
inference(cnf_transformation,[],[f28]) ).
tff(f28,plain,
! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'('#idx(b_alice)',X1,X0),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
! [X1: '$ki_world',X0: '$ki_world'] : '$ki_accessible'('#idx(b_alice)',X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mrel_universal_#idx(b_alice)') ).
tff(f52,plain,
! [X0: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'('#idx(b_alice)','$ki_local_world',X0)
| ~ bigcity(X1,portland) ),
inference(subsumption_resolution,[],[f43,f40]) ).
tff(f40,plain,
! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'('#idx(b_bob)',X1,X0),
inference(cnf_transformation,[],[f27]) ).
tff(f27,plain,
! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'('#idx(b_bob)',X1,X0),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X1: '$ki_world',X0: '$ki_world'] : '$ki_accessible'('#idx(b_bob)',X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mrel_universal_#idx(b_bob)') ).
tff(f43,plain,
! [X0: '$ki_world',X1: '$ki_world'] :
( ~ bigcity(X1,portland)
| ~ '$ki_accessible'('#idx(b_bob)',X0,X1)
| ~ '$ki_accessible'('#idx(b_alice)','$ki_local_world',X0) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: '$ki_world'] :
( ! [X1: '$ki_world'] :
( ~ '$ki_accessible'('#idx(b_bob)',X0,X1)
| ~ bigcity(X1,portland) )
| ~ '$ki_accessible'('#idx(b_alice)','$ki_local_world',X0) ),
inference(ennf_transformation,[],[f11]) ).
tff(f11,plain,
! [X0: '$ki_world'] :
( '$ki_accessible'('#idx(b_alice)','$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'('#idx(b_bob)',X0,X1)
=> ~ bigcity(X1,portland) ) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('#idx(b_alice)','$ki_local_world',X0)
=> ! [X2: '$ki_world'] :
( '$ki_accessible'('#idx(b_bob)',X0,X2)
=> ~ bigcity(X2,portland) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(f54,plain,
! [X0: '$ki_world'] : bigcity(X0,portland),
inference(subsumption_resolution,[],[f47,f41]) ).
tff(f47,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('#idx(b_alice)','$ki_local_world',X0)
| bigcity(X0,portland) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: '$ki_world'] :
( bigcity(X0,portland)
| ~ '$ki_accessible'('#idx(b_alice)','$ki_local_world',X0) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('#idx(b_alice)','$ki_local_world',X0)
=> bigcity(X0,portland) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NLP265_17 : TPTP v8.2.0. Released v8.2.0.
% 0.12/0.13 % 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 : n004.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 22 12:02:23 EDT 2023
% 0.19/0.35 % CPUTime :
% 0.19/0.49 % (9487)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.49 % (9471)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.49 % (9471)First to succeed.
% 0.19/0.49 % (9471)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status ContradictoryAxioms for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (9471)------------------------------
% 0.19/0.49 % (9471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (9471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (9471)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (9471)Memory used [KB]: 895
% 0.19/0.49 % (9471)Time elapsed: 0.003 s
% 0.19/0.49 % (9471)Instructions burned: 1 (million)
% 0.19/0.49 % (9471)------------------------------
% 0.19/0.49 % (9471)------------------------------
% 0.19/0.49 % (9465)Success in time 0.137 s
%------------------------------------------------------------------------------