TSTP Solution File: DAT334_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT334_8 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 20 19:52:11 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 31 ( 5 unt; 9 typ; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 64 ( 23 ~; 14 |; 22 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 33 ( 33 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 10 ( 6 >; 4 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 7 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 26 ( 17 !; 9 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_7,type,
sK1: '$ki_world' ).
tff(func_def_8,type,
sK2: '$ki_world' > $i ).
tff(func_def_9,type,
sK3: '$ki_world' > $i ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
teach: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_3,type,
'$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).
tff(pred_def_4,type,
sP0: '$ki_world' > $o ).
tff(f32,plain,
$false,
inference(subsumption_resolution,[],[f31,f27]) ).
tff(f27,plain,
sP0(sK1),
inference(resolution,[],[f23,f17]) ).
tff(f17,plain,
'$ki_accessible'('$ki_local_world',sK1),
inference(cnf_transformation,[],[f11]) ).
tff(f11,plain,
( ! [X1] :
( ~ teach(sK1,X1,cs)
| ~ '$ki_exists_in_world_$i'(sK1,X1) )
& '$ki_accessible'('$ki_local_world',sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f6,f10]) ).
tff(f10,plain,
( ? [X0: '$ki_world'] :
( ! [X1] :
( ~ teach(X0,X1,cs)
| ~ '$ki_exists_in_world_$i'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) )
=> ( ! [X1] :
( ~ teach(sK1,X1,cs)
| ~ '$ki_exists_in_world_$i'(sK1,X1) )
& '$ki_accessible'('$ki_local_world',sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f6,plain,
? [X0: '$ki_world'] :
( ! [X1] :
( ~ teach(X0,X1,cs)
| ~ '$ki_exists_in_world_$i'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f5]) ).
tff(f5,negated_conjecture,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X1] :
( teach(X0,X1,cs)
& '$ki_exists_in_world_$i'(X0,X1) ) ),
inference(negated_conjecture,[],[f4]) ).
tff(f4,conjecture,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X1] :
( teach(X0,X1,cs)
& '$ki_exists_in_world_$i'(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f23,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f9]) ).
tff(f9,plain,
! [X0: '$ki_world'] :
( ( teach(X0,sue,psych)
& teach(X0,mary,psych)
& sP0(X0)
& teach(X0,john,math) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(definition_folding,[],[f7,f8]) ).
tff(f8,plain,
! [X0: '$ki_world'] :
( ? [X1] :
( teach(X0,X1,cs)
& '$ki_exists_in_world_$i'(X0,X1) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f7,plain,
! [X0: '$ki_world'] :
( ( teach(X0,sue,psych)
& teach(X0,mary,psych)
& ? [X1] :
( teach(X0,X1,cs)
& '$ki_exists_in_world_$i'(X0,X1) )
& teach(X0,john,math) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( teach(X0,sue,psych)
& teach(X0,mary,psych)
& ? [X1] :
( teach(X0,X1,cs)
& '$ki_exists_in_world_$i'(X0,X1) )
& teach(X0,john,math) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',db) ).
tff(f31,plain,
~ sP0(sK1),
inference(resolution,[],[f30,f20]) ).
tff(f20,plain,
! [X0: '$ki_world'] :
( '$ki_exists_in_world_$i'(X0,sK2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: '$ki_world'] :
( ( teach(X0,sK2(X0),cs)
& '$ki_exists_in_world_$i'(X0,sK2(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f12,f13]) ).
tff(f13,plain,
! [X0: '$ki_world'] :
( ? [X1] :
( teach(X0,X1,cs)
& '$ki_exists_in_world_$i'(X0,X1) )
=> ( teach(X0,sK2(X0),cs)
& '$ki_exists_in_world_$i'(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
tff(f12,plain,
! [X0: '$ki_world'] :
( ? [X1] :
( teach(X0,X1,cs)
& '$ki_exists_in_world_$i'(X0,X1) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f8]) ).
tff(f30,plain,
~ '$ki_exists_in_world_$i'(sK1,sK2(sK1)),
inference(subsumption_resolution,[],[f29,f27]) ).
tff(f29,plain,
( ~ sP0(sK1)
| ~ '$ki_exists_in_world_$i'(sK1,sK2(sK1)) ),
inference(resolution,[],[f21,f18]) ).
tff(f18,plain,
! [X1: $i] :
( ~ teach(sK1,X1,cs)
| ~ '$ki_exists_in_world_$i'(sK1,X1) ),
inference(cnf_transformation,[],[f11]) ).
tff(f21,plain,
! [X0: '$ki_world'] :
( teach(X0,sK2(X0),cs)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT334_8 : TPTP v8.2.0. Released v8.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 : Sun May 19 23:25:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (4824)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (4828)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (4825)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 Detected minimum model sizes of [1,1,1]
% 0.13/0.37 Detected maximum model sizes of [2,max,max]
% 0.13/0.37 % (4826)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 TRYING [1,1,1]
% 0.13/0.37 % (4827)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.37 % (4829)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (4830)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 TRYING [2,1,1]
% 0.13/0.37 % (4831)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 TRYING [1,2,2]
% 0.13/0.37 TRYING [2,2,2]
% 0.13/0.37 TRYING [2,3,3]
% 0.13/0.37 Detected minimum model sizes of [1,1]
% 0.13/0.37 Detected maximum model sizes of [2,max]
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 Detected minimum model sizes of [1,1,1]
% 0.13/0.37 Detected maximum model sizes of [2,max,max]
% 0.13/0.37 TRYING [1,1,1]
% 0.13/0.37 TRYING [2,1]
% 0.13/0.37 TRYING [2,1,1]
% 0.13/0.37 TRYING [1,2]
% 0.13/0.37 Detected minimum model sizes of [1,1]
% 0.13/0.37 Detected maximum model sizes of [2,max]
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 TRYING [1,2,2]
% 0.13/0.37 % (4829)Also succeeded, but the first one will report.
% 0.13/0.37 % (4827)Also succeeded, but the first one will report.
% 0.13/0.37 % (4830)First to succeed.
% 0.13/0.37 TRYING [2,2]
% 0.13/0.37 TRYING [2,1]
% 0.13/0.37 TRYING [2,2,2]
% 0.13/0.37 TRYING [1,2]
% 0.13/0.37 TRYING [1,3]
% 0.13/0.37 TRYING [2,3,3]
% 0.13/0.37 TRYING [2,2]
% 0.13/0.37 % (4830)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4824"
% 0.13/0.37 TRYING [2,3]
% 0.13/0.37 TRYING [1,3]
% 0.13/0.37 TRYING [1,4]
% 0.13/0.37 TRYING [2,3]
% 0.13/0.37 % (4830)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (4830)------------------------------
% 0.13/0.37 % (4830)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (4830)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (4830)Memory used [KB]: 734
% 0.13/0.37 % (4830)Time elapsed: 0.003 s
% 0.13/0.37 % (4830)Instructions burned: 3 (million)
% 0.13/0.37 % (4824)Success in time 0.019 s
%------------------------------------------------------------------------------