TSTP Solution File: PUZ149_13 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ149_13 : 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 : 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 : Sun May 5 08:50:53 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 29
% Syntax : Number of formulae : 59 ( 7 unt; 21 typ; 0 def)
% Number of atoms : 113 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 127 ( 52 ~; 35 |; 28 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 12 ( 10 >; 2 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-1 aty)
% Number of variables : 52 ( 33 !; 19 ?; 52 :)
% 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': '$ki_world' ).
tff(func_def_1,type,
'#idx(make_c)': '$ki_index' ).
tff(func_def_2,type,
'#idx(pour_b)': '$ki_index' ).
tff(func_def_3,type,
'#idx(pour_a)': '$ki_index' ).
tff(func_def_4,type,
sK4: '$ki_world' > '$ki_world' ).
tff(func_def_5,type,
sK5: '$ki_world' ).
tff(func_def_6,type,
sK6: '$ki_world' > '$ki_world' ).
tff(func_def_7,type,
sK7: '$ki_world' ).
tff(func_def_8,type,
sK8: '$ki_world' > '$ki_world' ).
tff(func_def_9,type,
sK9: '$ki_world' ).
tff(func_def_10,type,
sK10: '$ki_world' > '$ki_world' ).
tff(func_def_11,type,
sK11: '$ki_world' ).
tff(func_def_12,type,
sK12: '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_index' * '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
acid: '$ki_world' > $o ).
tff(pred_def_3,type,
sP0: '$ki_world' > $o ).
tff(pred_def_4,type,
sP1: '$ki_world' > $o ).
tff(pred_def_5,type,
sP2: '$ki_world' > $o ).
tff(pred_def_6,type,
sP3: '$ki_world' > $o ).
tff(f93,plain,
$false,
inference(subsumption_resolution,[],[f92,f73]) ).
tff(f73,plain,
acid(sK12),
inference(cnf_transformation,[],[f53]) ).
tff(f53,plain,
( acid(sK12)
& '$ki_accessible'('#idx(make_c)','$ki_local_world',sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f6,f52]) ).
tff(f52,plain,
( ? [X0: '$ki_world'] :
( acid(X0)
& '$ki_accessible'('#idx(make_c)','$ki_local_world',X0) )
=> ( acid(sK12)
& '$ki_accessible'('#idx(make_c)','$ki_local_world',sK12) ) ),
introduced(choice_axiom,[]) ).
tff(f6,axiom,
? [X0: '$ki_world'] :
( acid(X0)
& '$ki_accessible'('#idx(make_c)','$ki_local_world',X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',make_c_acid) ).
tff(f92,plain,
~ acid(sK12),
inference(resolution,[],[f91,f72]) ).
tff(f72,plain,
'$ki_accessible'('#idx(make_c)','$ki_local_world',sK12),
inference(cnf_transformation,[],[f53]) ).
tff(f91,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('#idx(make_c)','$ki_local_world',X0)
| ~ acid(X0) ),
inference(subsumption_resolution,[],[f65,f85]) ).
tff(f85,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',sK9)
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) ),
inference(subsumption_resolution,[],[f84,f83]) ).
tff(f83,plain,
acid(sK8(sK9)),
inference(resolution,[],[f81,f64]) ).
tff(f64,plain,
! [X0: '$ki_world'] :
( ~ sP2(X0)
| acid(sK8(X0)) ),
inference(cnf_transformation,[],[f42]) ).
tff(f42,plain,
! [X0: '$ki_world'] :
( ( acid(sK8(X0))
& '$ki_accessible'('#idx(pour_b)',X0,sK8(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f40,f41]) ).
tff(f41,plain,
! [X0: '$ki_world'] :
( ? [X1: '$ki_world'] :
( acid(X1)
& '$ki_accessible'('#idx(pour_b)',X0,X1) )
=> ( acid(sK8(X0))
& '$ki_accessible'('#idx(pour_b)',X0,sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
tff(f40,plain,
! [X0: '$ki_world'] :
( ? [X1: '$ki_world'] :
( acid(X1)
& '$ki_accessible'('#idx(pour_b)',X0,X1) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f24]) ).
tff(f24,plain,
! [X0: '$ki_world'] :
( ? [X1: '$ki_world'] :
( acid(X1)
& '$ki_accessible'('#idx(pour_b)',X0,X1) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
tff(f81,plain,
sP2(sK9),
inference(subsumption_resolution,[],[f80,f73]) ).
tff(f80,plain,
( ~ acid(sK12)
| sP2(sK9) ),
inference(resolution,[],[f66,f72]) ).
tff(f66,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('#idx(make_c)','$ki_local_world',X0)
| ~ acid(X0)
| sP2(sK9) ),
inference(cnf_transformation,[],[f45]) ).
tff(f45,plain,
( ! [X0: '$ki_world'] :
( ~ acid(X0)
| ~ '$ki_accessible'('#idx(make_c)','$ki_local_world',X0) )
| ( sP2(sK9)
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',sK9) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f43,f44]) ).
tff(f44,plain,
( ? [X1: '$ki_world'] :
( sP2(X1)
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X1) )
=> ( sP2(sK9)
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',sK9) ) ),
introduced(choice_axiom,[]) ).
tff(f43,plain,
( ! [X0: '$ki_world'] :
( ~ acid(X0)
| ~ '$ki_accessible'('#idx(make_c)','$ki_local_world',X0) )
| ? [X1: '$ki_world'] :
( sP2(X1)
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X1) ) ),
inference(rectify,[],[f25]) ).
tff(f25,plain,
( ! [X2: '$ki_world'] :
( ~ acid(X2)
| ~ '$ki_accessible'('#idx(make_c)','$ki_local_world',X2) )
| ? [X0: '$ki_world'] :
( sP2(X0)
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) ) ),
inference(definition_folding,[],[f17,f24]) ).
tff(f17,plain,
( ! [X2: '$ki_world'] :
( ~ acid(X2)
| ~ '$ki_accessible'('#idx(make_c)','$ki_local_world',X2) )
| ? [X0: '$ki_world'] :
( ? [X1: '$ki_world'] :
( acid(X1)
& '$ki_accessible'('#idx(pour_b)',X0,X1) )
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) ) ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,plain,
( ! [X0: '$ki_world'] :
( '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'('#idx(pour_b)',X0,X1)
=> ~ acid(X1) ) )
=> ! [X2: '$ki_world'] :
( '$ki_accessible'('#idx(make_c)','$ki_local_world',X2)
=> ~ acid(X2) ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
( ! [X0: '$ki_world'] :
( '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'('#idx(pour_b)',X0,X1)
=> ~ acid(X1) ) )
=> ! [X0: '$ki_world'] :
( '$ki_accessible'('#idx(make_c)','$ki_local_world',X0)
=> ~ acid(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pour_ab_make_axiom_2) ).
tff(f84,plain,
! [X0: '$ki_world'] :
( ~ acid(sK8(sK9))
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',sK9)
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) ),
inference(resolution,[],[f82,f74]) ).
tff(f74,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'('#idx(pour_b)',X0,X1)
| ~ acid(X1)
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0)
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X2) ),
inference(subsumption_resolution,[],[f54,f71]) ).
tff(f71,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0)
| ~ acid(X0) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
! [X0: '$ki_world'] :
( ~ acid(X0)
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) ),
inference(ennf_transformation,[],[f5]) ).
tff(f5,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0)
=> ~ acid(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pour_a_acid) ).
tff(f54,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
( ~ acid(X1)
| ~ '$ki_accessible'('#idx(pour_b)',X0,X1)
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0)
| acid(X2)
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X2) ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
( ! [X0: '$ki_world'] :
( ! [X1: '$ki_world'] :
( ~ acid(X1)
| ~ '$ki_accessible'('#idx(pour_b)',X0,X1) )
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) )
| ! [X2: '$ki_world'] :
( acid(X2)
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X2) ) ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,plain,
~ ( ? [X0: '$ki_world'] :
( ? [X1: '$ki_world'] :
( acid(X1)
& '$ki_accessible'('#idx(pour_b)',X0,X1) )
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) )
& ? [X2: '$ki_world'] :
( ~ acid(X2)
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X2) ) ),
inference(rectify,[],[f8]) ).
tff(f8,negated_conjecture,
~ ( ? [X0: '$ki_world'] :
( ? [X1: '$ki_world'] :
( acid(X1)
& '$ki_accessible'('#idx(pour_b)',X0,X1) )
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) )
& ? [X0: '$ki_world'] :
( ~ acid(X0)
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) ) ),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
( ? [X0: '$ki_world'] :
( ? [X1: '$ki_world'] :
( acid(X1)
& '$ki_accessible'('#idx(pour_b)',X0,X1) )
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) )
& ? [X0: '$ki_world'] :
( ~ acid(X0)
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f82,plain,
'$ki_accessible'('#idx(pour_b)',sK9,sK8(sK9)),
inference(resolution,[],[f81,f63]) ).
tff(f63,plain,
! [X0: '$ki_world'] :
( ~ sP2(X0)
| '$ki_accessible'('#idx(pour_b)',X0,sK8(X0)) ),
inference(cnf_transformation,[],[f42]) ).
tff(f65,plain,
! [X0: '$ki_world'] :
( ~ acid(X0)
| ~ '$ki_accessible'('#idx(make_c)','$ki_local_world',X0)
| '$ki_accessible'('#idx(pour_a)','$ki_local_world',sK9) ),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : PUZ149_13 : TPTP v8.2.0. Released v8.2.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 18:07:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (14307)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (14312)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (14308)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (14309)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (14311)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (14310)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)
% 0.14/0.38 % (14313)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (14314)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)
% 0.14/0.38 % (14312)First to succeed.
% 0.14/0.38 Detected minimum model sizes of [1,1]
% 0.14/0.38 Detected maximum model sizes of [max,3]
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 % (14313)Also succeeded, but the first one will report.
% 0.14/0.38 Detected minimum model sizes of [1,1]
% 0.14/0.38 Detected maximum model sizes of [10,3]
% 0.14/0.38 Detected minimum model sizes of [1,1]
% 0.14/0.38 Detected minimum model sizes of [1,1]
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 Detected maximum model sizes of [max,3]
% 0.14/0.38 Detected maximum model sizes of [10,3]
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 % (14310)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [2,1]
% 0.14/0.38 TRYING [2,1]
% 0.14/0.38 % (14312)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14307"
% 0.14/0.38 TRYING [2,1]
% 0.14/0.38 TRYING [2,1]
% 0.14/0.38 TRYING [1,2]
% 0.14/0.38 TRYING [1,2]
% 0.14/0.38 TRYING [1,2]
% 0.14/0.38 % (14312)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (14312)------------------------------
% 0.14/0.38 % (14312)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (14312)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (14312)Memory used [KB]: 756
% 0.14/0.38 % (14312)Time elapsed: 0.004 s
% 0.14/0.38 % (14312)Instructions burned: 4 (million)
% 0.14/0.38 % (14307)Success in time 0.02 s
%------------------------------------------------------------------------------