TSTP Solution File: SYO890_16 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO890_16 : 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 : n021.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 09:09:33 EDT 2024
% Result : Theorem 0.56s 0.73s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 31 ( 5 unt; 8 typ; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 94 ( 32 ~; 20 |; 26 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 9 ( 9 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 9 ( 5 >; 4 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 50 ( 36 !; 14 ?; 30 :)
% 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' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
e: ( '$ki_world' * $i ) > $o ).
tff(pred_def_3,type,
f: ( '$ki_world' * $i ) > $o ).
tff(pred_def_4,type,
'$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).
tff(f40,plain,
$false,
inference(subsumption_resolution,[],[f39,f28]) ).
tff(f28,plain,
'$ki_accessible'('$ki_local_world',sK1),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
( ! [X1] :
( ~ f(sK1,X1)
| ~ '$ki_exists_in_world_$i'(sK1,X1) )
& '$ki_accessible'('$ki_local_world',sK1)
& ! [X3: '$ki_world'] :
( f(X3,sK2)
| ~ '$ki_accessible'('$ki_local_world',X3) )
& '$ki_exists_in_world_$i'('$ki_local_world',sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f18,f20,f19]) ).
tff(f19,plain,
( ? [X0: '$ki_world'] :
( ! [X1] :
( ~ f(X0,X1)
| ~ '$ki_exists_in_world_$i'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) )
=> ( ! [X1] :
( ~ f(sK1,X1)
| ~ '$ki_exists_in_world_$i'(sK1,X1) )
& '$ki_accessible'('$ki_local_world',sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f20,plain,
( ? [X2] :
( ! [X3: '$ki_world'] :
( f(X3,X2)
| ~ '$ki_accessible'('$ki_local_world',X3) )
& '$ki_exists_in_world_$i'('$ki_local_world',X2) )
=> ( ! [X3: '$ki_world'] :
( f(X3,sK2)
| ~ '$ki_accessible'('$ki_local_world',X3) )
& '$ki_exists_in_world_$i'('$ki_local_world',sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
( ? [X0: '$ki_world'] :
( ! [X1] :
( ~ f(X0,X1)
| ~ '$ki_exists_in_world_$i'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) )
& ? [X2] :
( ! [X3: '$ki_world'] :
( f(X3,X2)
| ~ '$ki_accessible'('$ki_local_world',X3) )
& '$ki_exists_in_world_$i'('$ki_local_world',X2) ) ),
inference(rectify,[],[f15]) ).
tff(f15,plain,
( ? [X2: '$ki_world'] :
( ! [X3] :
( ~ f(X2,X3)
| ~ '$ki_exists_in_world_$i'(X2,X3) )
& '$ki_accessible'('$ki_local_world',X2) )
& ? [X0] :
( ! [X1: '$ki_world'] :
( f(X1,X0)
| ~ '$ki_accessible'('$ki_local_world',X1) )
& '$ki_exists_in_world_$i'('$ki_local_world',X0) ) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,plain,
~ ( ? [X0] :
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> f(X1,X0) )
& '$ki_exists_in_world_$i'('$ki_local_world',X0) )
=> ! [X2: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X2)
=> ? [X3] :
( f(X2,X3)
& '$ki_exists_in_world_$i'(X2,X3) ) ) ),
inference(pure_predicate_removal,[],[f9]) ).
tff(f9,plain,
~ ( ? [X0] :
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ( f(X1,X0)
& e(X1,X0) ) )
& '$ki_exists_in_world_$i'('$ki_local_world',X0) )
=> ! [X2: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X2)
=> ? [X3] :
( f(X2,X3)
& '$ki_exists_in_world_$i'(X2,X3) ) ) ),
inference(rectify,[],[f6]) ).
tff(f6,negated_conjecture,
~ ( ? [X3] :
( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( f(X0,X3)
& e(X0,X3) ) )
& '$ki_exists_in_world_$i'('$ki_local_world',X3) )
=> ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X3] :
( f(X0,X3)
& '$ki_exists_in_world_$i'(X0,X3) ) ) ),
inference(negated_conjecture,[],[f5]) ).
tff(f5,conjecture,
( ? [X3] :
( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( f(X0,X3)
& e(X0,X3) ) )
& '$ki_exists_in_world_$i'('$ki_local_world',X3) )
=> ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X3] :
( f(X0,X3)
& '$ki_exists_in_world_$i'(X0,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f39,plain,
~ '$ki_accessible'('$ki_local_world',sK1),
inference(resolution,[],[f38,f27]) ).
tff(f27,plain,
! [X3: '$ki_world'] :
( f(X3,sK2)
| ~ '$ki_accessible'('$ki_local_world',X3) ),
inference(cnf_transformation,[],[f21]) ).
tff(f38,plain,
~ f(sK1,sK2),
inference(subsumption_resolution,[],[f37,f28]) ).
tff(f37,plain,
( ~ '$ki_accessible'('$ki_local_world',sK1)
| ~ f(sK1,sK2) ),
inference(resolution,[],[f30,f29]) ).
tff(f29,plain,
! [X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK1,X1)
| ~ f(sK1,X1) ),
inference(cnf_transformation,[],[f21]) ).
tff(f30,plain,
! [X0: '$ki_world'] :
( '$ki_exists_in_world_$i'(X0,sK2)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(resolution,[],[f26,f24]) ).
tff(f24,plain,
! [X2: $i,X0: '$ki_world',X1: '$ki_world'] :
( '$ki_exists_in_world_$i'(X1,X2)
| ~ '$ki_accessible'(X0,X1)
| ~ '$ki_exists_in_world_$i'(X0,X2) ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: '$ki_world',X1: '$ki_world',X2] :
( '$ki_exists_in_world_$i'(X1,X2)
| ~ '$ki_accessible'(X0,X1)
| ~ '$ki_exists_in_world_$i'(X0,X2) ),
inference(flattening,[],[f13]) ).
tff(f13,plain,
! [X0: '$ki_world',X1: '$ki_world',X2] :
( '$ki_exists_in_world_$i'(X1,X2)
| ~ '$ki_accessible'(X0,X1)
| ~ '$ki_exists_in_world_$i'(X0,X2) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,plain,
! [X0: '$ki_world',X1: '$ki_world',X2] :
( ( '$ki_accessible'(X0,X1)
& '$ki_exists_in_world_$i'(X0,X2) )
=> '$ki_exists_in_world_$i'(X1,X2) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X0: '$ki_world',X1: '$ki_world',X3] :
( ( '$ki_accessible'(X0,X1)
& '$ki_exists_in_world_$i'(X0,X3) )
=> '$ki_exists_in_world_$i'(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$ki_exists_in_world_$i_cumul') ).
tff(f26,plain,
'$ki_exists_in_world_$i'('$ki_local_world',sK2),
inference(cnf_transformation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYO890_16 : TPTP v8.2.0. Released v8.2.0.
% 0.10/0.14 % 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
% 0.15/0.34 % Computer : n021.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon May 20 10:35:07 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TF0_THM_NEQ_NAR problem
% 0.15/0.35 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
% 0.56/0.73 % (8517)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)
% 0.56/0.73 % (8518)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)
% 0.56/0.73 % (8519)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)
% 0.56/0.73 % (8520)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)
% 0.56/0.73 % (8517)First to succeed.
% 0.56/0.73 % (8513)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)
% 0.56/0.73 % (8515)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.73 % (8514)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.56/0.73 % (8516)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.73 % (8517)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8512"
% 0.56/0.73 % (8518)Also succeeded, but the first one will report.
% 0.56/0.73 % (8520)Also succeeded, but the first one will report.
% 0.56/0.73 % (8519)Also succeeded, but the first one will report.
% 0.56/0.73 % (8517)Refutation found. Thanks to Tanya!
% 0.56/0.73 % SZS status Theorem for theBenchmark
% 0.56/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.73 % (8517)------------------------------
% 0.56/0.73 % (8517)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (8517)Termination reason: Refutation
% 0.56/0.73
% 0.56/0.73 % (8517)Memory used [KB]: 977
% 0.56/0.73 % (8517)Time elapsed: 0.002 s
% 0.56/0.73 % (8517)Instructions burned: 3 (million)
% 0.56/0.73 % (8512)Success in time 0.379 s
% 0.56/0.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------