TSTP Solution File: NLP267_4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NLP267_4 : 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_uns --cores 0 -t %d %s
% Computer : n028.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 : Theorem 1.29s 0.53s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 28 ( 6 unt; 7 typ; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 45 ( 20 ~; 13 |; 5 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 28 ( 28 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 (; 12 !; 2 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_6,type,
sK0: '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
price: ( '$ki_world' * $i ) > $o ).
tff(pred_def_3,type,
dest: ( '$ki_world' * $i ) > $o ).
tff(pred_def_4,type,
class: ( '$ki_world' * $i ) > $o ).
tff(f44,plain,
$false,
inference(subsumption_resolution,[],[f42,f39]) ).
tff(f39,plain,
dest(sK0,paris),
inference(unit_resulting_resolution,[],[f30,f34]) ).
tff(f34,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| dest(X0,paris) ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| dest(X0,paris) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> dest(X0,paris) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',belief1) ).
tff(f30,plain,
'$ki_accessible'('$ki_local_world',sK0),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
( ~ price(sK0,seventy)
& '$ki_accessible'('$ki_local_world',sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f25]) ).
tff(f25,plain,
( ? [X0: '$ki_world'] :
( ~ price(X0,seventy)
& '$ki_accessible'('$ki_local_world',X0) )
=> ( ~ price(sK0,seventy)
& '$ki_accessible'('$ki_local_world',sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f23,plain,
? [X0: '$ki_world'] :
( ~ price(X0,seventy)
& '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,negated_conjecture,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> price(X0,seventy) ),
inference(negated_conjecture,[],[f9]) ).
tff(f9,conjecture,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> price(X0,seventy) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(f42,plain,
~ dest(sK0,paris),
inference(unit_resulting_resolution,[],[f31,f30,f38,f29]) ).
tff(f29,plain,
! [X0: '$ki_world'] :
( ~ class(X0,second)
| ~ '$ki_accessible'('$ki_local_world',X0)
| price(X0,seventy)
| ~ dest(X0,paris) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: '$ki_world'] :
( ~ dest(X0,paris)
| price(X0,seventy)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ class(X0,second) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ class(X0,second)
| ~ dest(X0,paris)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f4]) ).
tff(f4,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( ( class(X0,second)
& dest(X0,paris) )
=> price(X0,seventy) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',law2) ).
tff(f38,plain,
class(sK0,second),
inference(unit_resulting_resolution,[],[f30,f28]) ).
tff(f28,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| class(X0,second) ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| class(X0,second) ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> class(X0,second) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',belief2) ).
tff(f31,plain,
~ price(sK0,seventy),
inference(cnf_transformation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NLP267_4 : TPTP v8.2.0. Released v8.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n028.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 22 12:25:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (408)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.51 % (412)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (425)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.29/0.52 % (396)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.29/0.53 % (419)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.29/0.53 % (426)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.29/0.53 % (399)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.53 % (399)First to succeed.
% 1.29/0.53 % (400)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.29/0.53 % (401)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.29/0.53 % (419)Also succeeded, but the first one will report.
% 1.29/0.53 % (399)Refutation found. Thanks to Tanya!
% 1.29/0.53 % SZS status Theorem for theBenchmark
% 1.29/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.53 % (399)------------------------------
% 1.29/0.53 % (399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.53 % (399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.53 % (399)Termination reason: Refutation
% 1.29/0.53
% 1.29/0.53 % (399)Memory used [KB]: 5884
% 1.29/0.53 % (399)Time elapsed: 0.122 s
% 1.29/0.53 % (399)Instructions burned: 2 (million)
% 1.29/0.53 % (399)------------------------------
% 1.29/0.53 % (399)------------------------------
% 1.29/0.53 % (391)Success in time 0.181 s
%------------------------------------------------------------------------------