TSTP Solution File: PLA053_2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PLA053_2 : 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 file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.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 : Tue May 21 02:21:19 EDT 2024
% Result : Theorem 0.62s 0.77s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 43 ( 10 unt; 11 typ; 0 def)
% Number of atoms : 155 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 168 ( 61 ~; 46 |; 41 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 16 ( 16 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 14 ( 8 >; 6 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 65 ( 49 !; 16 ?; 35 :)
% 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' > $i ).
tff(func_def_4,type,
sK3: ( '$ki_world' * $i ) > $i ).
tff(func_def_5,type,
sK4: '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
h: ( '$ki_world' * $i ) > $o ).
tff(pred_def_3,type,
bomb: ( '$ki_world' * $i ) > $o ).
tff(pred_def_4,type,
defused: ( '$ki_world' * $i ) > $o ).
tff(pred_def_5,type,
'$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).
tff(f68,plain,
$false,
inference(subsumption_resolution,[],[f66,f31]) ).
tff(f31,plain,
! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
tff(f66,plain,
~ '$ki_accessible'(sK4,sK4),
inference(resolution,[],[f62,f40]) ).
tff(f40,plain,
'$ki_accessible'('$ki_local_world',sK4),
inference(cnf_transformation,[],[f30]) ).
tff(f30,plain,
( ! [X2] :
( ( ~ defused(sK4,sK5)
& h(sK4,X2)
& bomb(sK4,sK5) )
| ~ '$ki_exists_in_world_$i'(sK4,X2) )
& '$ki_exists_in_world_$i'(sK4,sK5)
& '$ki_accessible'('$ki_local_world',sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f19,f29,f28]) ).
tff(f28,plain,
( ? [X0: '$ki_world'] :
( ? [X1] :
( ! [X2] :
( ( ~ defused(X0,X1)
& h(X0,X2)
& bomb(X0,X1) )
| ~ '$ki_exists_in_world_$i'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) )
=> ( ? [X1] :
( ! [X2] :
( ( ~ defused(sK4,X1)
& h(sK4,X2)
& bomb(sK4,X1) )
| ~ '$ki_exists_in_world_$i'(sK4,X2) )
& '$ki_exists_in_world_$i'(sK4,X1) )
& '$ki_accessible'('$ki_local_world',sK4) ) ),
introduced(choice_axiom,[]) ).
tff(f29,plain,
( ? [X1] :
( ! [X2] :
( ( ~ defused(sK4,X1)
& h(sK4,X2)
& bomb(sK4,X1) )
| ~ '$ki_exists_in_world_$i'(sK4,X2) )
& '$ki_exists_in_world_$i'(sK4,X1) )
=> ( ! [X2] :
( ( ~ defused(sK4,sK5)
& h(sK4,X2)
& bomb(sK4,sK5) )
| ~ '$ki_exists_in_world_$i'(sK4,X2) )
& '$ki_exists_in_world_$i'(sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
tff(f19,plain,
? [X0: '$ki_world'] :
( ? [X1] :
( ! [X2] :
( ( ~ defused(X0,X1)
& h(X0,X2)
& bomb(X0,X1) )
| ~ '$ki_exists_in_world_$i'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) ),
inference(flattening,[],[f18]) ).
tff(f18,plain,
? [X0: '$ki_world'] :
( ? [X1] :
( ! [X2] :
( ( ~ defused(X0,X1)
& h(X0,X2)
& bomb(X0,X1) )
| ~ '$ki_exists_in_world_$i'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,plain,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
=> ? [X2] :
( ( ( h(X0,X2)
& bomb(X0,X1) )
=> defused(X0,X1) )
& '$ki_exists_in_world_$i'(X0,X2) ) ) ),
inference(rectify,[],[f8]) ).
tff(f8,negated_conjecture,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
=> ? [X5] :
( ( ( h(X0,X5)
& bomb(X0,X1) )
=> defused(X0,X1) )
& '$ki_exists_in_world_$i'(X0,X5) ) ) ),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
=> ? [X5] :
( ( ( h(X0,X5)
& bomb(X0,X1) )
=> defused(X0,X1) )
& '$ki_exists_in_world_$i'(X0,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f62,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X0,sK4) ),
inference(subsumption_resolution,[],[f61,f32]) ).
tff(f32,plain,
! [X0: '$ki_world',X1: $i] : '$ki_exists_in_world_$i'(X0,X1),
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
! [X0: '$ki_world',X1] : '$ki_exists_in_world_$i'(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const') ).
tff(f61,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'(X0,sK4)
| ~ '$ki_exists_in_world_$i'(X0,sK5)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(subsumption_resolution,[],[f60,f46]) ).
tff(f46,plain,
! [X2: $i] : h(sK4,X2),
inference(subsumption_resolution,[],[f43,f32]) ).
tff(f43,plain,
! [X2: $i] :
( h(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X2) ),
inference(cnf_transformation,[],[f30]) ).
tff(f60,plain,
! [X0: '$ki_world'] :
( ~ h(sK4,sK3(X0,sK5))
| ~ '$ki_accessible'(X0,sK4)
| ~ '$ki_exists_in_world_$i'(X0,sK5)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(subsumption_resolution,[],[f58,f45]) ).
tff(f45,plain,
~ defused(sK4,sK5),
inference(subsumption_resolution,[],[f44,f32]) ).
tff(f44,plain,
! [X2: $i] :
( ~ defused(sK4,sK5)
| ~ '$ki_exists_in_world_$i'(sK4,X2) ),
inference(cnf_transformation,[],[f30]) ).
tff(f58,plain,
! [X0: '$ki_world'] :
( defused(sK4,sK5)
| ~ h(sK4,sK3(X0,sK5))
| ~ '$ki_accessible'(X0,sK4)
| ~ '$ki_exists_in_world_$i'(X0,sK5)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(resolution,[],[f47,f39]) ).
tff(f39,plain,
! [X3: '$ki_world',X0: '$ki_world',X1: $i] :
( defused(X3,X1)
| ~ h(X3,sK3(X0,X1))
| ~ bomb(X3,X1)
| ~ '$ki_accessible'(X0,X3)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f27]) ).
tff(f27,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ( ! [X3: '$ki_world'] :
( defused(X3,X1)
| ~ h(X3,sK3(X0,X1))
| ~ bomb(X3,X1)
| ~ '$ki_accessible'(X0,X3) )
& '$ki_exists_in_world_$i'(X0,sK3(X0,X1)) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f17,f26]) ).
tff(f26,plain,
! [X0: '$ki_world',X1] :
( ? [X2] :
( ! [X3: '$ki_world'] :
( defused(X3,X1)
| ~ h(X3,X2)
| ~ bomb(X3,X1)
| ~ '$ki_accessible'(X0,X3) )
& '$ki_exists_in_world_$i'(X0,X2) )
=> ( ! [X3: '$ki_world'] :
( defused(X3,X1)
| ~ h(X3,sK3(X0,X1))
| ~ bomb(X3,X1)
| ~ '$ki_accessible'(X0,X3) )
& '$ki_exists_in_world_$i'(X0,sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ? [X2] :
( ! [X3: '$ki_world'] :
( defused(X3,X1)
| ~ h(X3,X2)
| ~ bomb(X3,X1)
| ~ '$ki_accessible'(X0,X3) )
& '$ki_exists_in_world_$i'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ? [X2] :
( ! [X3: '$ki_world'] :
( defused(X3,X1)
| ~ h(X3,X2)
| ~ bomb(X3,X1)
| ~ '$ki_accessible'(X0,X3) )
& '$ki_exists_in_world_$i'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f11]) ).
tff(f11,plain,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
=> ? [X2] :
( ! [X3: '$ki_world'] :
( '$ki_accessible'(X0,X3)
=> ( ( h(X3,X2)
& bomb(X3,X1) )
=> defused(X3,X1) ) )
& '$ki_exists_in_world_$i'(X0,X2) ) ) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
=> ? [X5] :
( ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> ( ( h(X4,X5)
& bomb(X4,X1) )
=> defused(X4,X1) ) )
& '$ki_exists_in_world_$i'(X0,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
tff(f47,plain,
bomb(sK4,sK5),
inference(subsumption_resolution,[],[f42,f32]) ).
tff(f42,plain,
! [X2: $i] :
( bomb(sK4,sK5)
| ~ '$ki_exists_in_world_$i'(sK4,X2) ),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.15 % Problem : PLA053_2 : TPTP v8.2.0. Released v8.2.0.
% 0.13/0.17 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.17/0.39 % Computer : n020.cluster.edu
% 0.17/0.39 % Model : x86_64 x86_64
% 0.17/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39 % Memory : 8042.1875MB
% 0.17/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39 % CPULimit : 300
% 0.17/0.39 % WCLimit : 300
% 0.17/0.39 % DateTime : Sat May 18 13:44:23 EDT 2024
% 0.17/0.40 % CPUTime :
% 0.17/0.40 This is a TF0_THM_NEQ_NAR problem
% 0.17/0.40 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.77 % (23625)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.62/0.77 % (23627)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.62/0.77 % (23626)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.62/0.77 % (23628)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.62/0.77 % (23625)First to succeed.
% 0.62/0.77 % (23625)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23620"
% 0.62/0.77 % (23621)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.62/0.77 % (23626)Also succeeded, but the first one will report.
% 0.62/0.77 % (23628)Also succeeded, but the first one will report.
% 0.62/0.77 % (23627)Also succeeded, but the first one will report.
% 0.62/0.77 % (23625)Refutation found. Thanks to Tanya!
% 0.62/0.77 % SZS status Theorem for theBenchmark
% 0.62/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.77 % (23625)------------------------------
% 0.62/0.77 % (23625)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77 % (23625)Termination reason: Refutation
% 0.62/0.77
% 0.62/0.77 % (23625)Memory used [KB]: 1045
% 0.62/0.77 % (23625)Time elapsed: 0.002 s
% 0.62/0.77 % (23625)Instructions burned: 4 (million)
% 0.62/0.77 % (23620)Success in time 0.369 s
% 0.62/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------