TSTP Solution File: NLP267_17 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NLP267_17 : 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 : n019.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 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 34 ( 9 unt; 10 typ; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 49 ( 21 ~; 15 |; 7 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 33 ( 33 fml; 0 var)
% Number of types : 4 ( 2 usr)
% Number of type conns : 9 ( 4 >; 5 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 25 (; 23 !; 2 ?; 25 :)
% 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': '$ki_world' ).
tff(func_def_1,type,
'#idx(b_s)': '$ki_index' ).
tff(func_def_2,type,
'#idx(b_u)': '$ki_index' ).
tff(func_def_8,type,
sK0: '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_index' * '$ki_world' * '$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(f49,plain,
$false,
inference(resolution,[],[f48,f41]) ).
tff(f41,plain,
~ price(sK0,seventy),
inference(cnf_transformation,[],[f30]) ).
tff(f30,plain,
( ~ price(sK0,seventy)
& '$ki_accessible'('#idx(b_s)','$ki_local_world',sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f29]) ).
tff(f29,plain,
( ? [X0: '$ki_world'] :
( ~ price(X0,seventy)
& '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) )
=> ( ~ price(sK0,seventy)
& '$ki_accessible'('#idx(b_s)','$ki_local_world',sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f14,plain,
? [X0: '$ki_world'] :
( ~ price(X0,seventy)
& '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
inference(ennf_transformation,[],[f11]) ).
tff(f11,negated_conjecture,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
=> price(X0,seventy) ),
inference(negated_conjecture,[],[f10]) ).
tff(f10,conjecture,
! [X0: '$ki_world'] :
( '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
=> price(X0,seventy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f48,plain,
! [X0: '$ki_world'] : price(X0,seventy),
inference(resolution,[],[f47,f46]) ).
tff(f46,plain,
! [X0: '$ki_world'] :
( ~ dest(X0,paris)
| price(X0,seventy) ),
inference(resolution,[],[f45,f44]) ).
tff(f44,plain,
! [X0: '$ki_world'] :
( ~ class(X0,second)
| price(X0,seventy)
| ~ dest(X0,paris) ),
inference(subsumption_resolution,[],[f42,f36]) ).
tff(f36,plain,
! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'('#idx(b_s)',X0,X1),
inference(cnf_transformation,[],[f28]) ).
tff(f28,plain,
! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'('#idx(b_s)',X0,X1),
inference(rectify,[],[f12]) ).
tff(f12,plain,
! [X1: '$ki_world',X0: '$ki_world'] : '$ki_accessible'('#idx(b_s)',X1,X0),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
! [X1: '$ki_world',X0: '$ki_world'] : '$ki_accessible'('#idx(b_s)',X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','mrel_universal_#idx(b_s)') ).
tff(f42,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
| price(X0,seventy)
| ~ class(X0,second)
| ~ dest(X0,paris) ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
| ~ class(X0,second)
| price(X0,seventy)
| ~ dest(X0,paris) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ dest(X0,paris)
| ~ class(X0,second)
| ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
inference(ennf_transformation,[],[f4]) ).
tff(f4,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
=> ( ( dest(X0,paris)
& class(X0,second) )
=> price(X0,seventy) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(f45,plain,
! [X0: '$ki_world'] : class(X0,second),
inference(subsumption_resolution,[],[f33,f36]) ).
tff(f33,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
| class(X0,second) ),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
| ( dest(X0,paris)
& class(X0,second) ) ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
=> ( dest(X0,paris)
& class(X0,second) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
tff(f47,plain,
! [X0: '$ki_world'] : dest(X0,paris),
inference(subsumption_resolution,[],[f34,f36]) ).
tff(f34,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
| dest(X0,paris) ),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NLP267_17 : TPTP v8.2.0. Released v8.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n019.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 : Mon May 22 12:11:57 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.52 % (8579)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (8568)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (8571)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 % (8578)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.52 % (8579)First to succeed.
% 0.20/0.53 % (8579)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (8579)------------------------------
% 0.20/0.53 % (8579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (8579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (8579)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (8579)Memory used [KB]: 5884
% 0.20/0.53 % (8579)Time elapsed: 0.112 s
% 0.20/0.53 % (8579)Instructions burned: 2 (million)
% 0.20/0.53 % (8579)------------------------------
% 0.20/0.53 % (8579)------------------------------
% 0.20/0.53 % (8554)Success in time 0.172 s
%------------------------------------------------------------------------------