TSTP Solution File: NLP267_17 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n002.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 15:39:56 EDT 2023
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 32 ( 7 unt; 10 typ; 0 def)
% Number of atoms : 81 ( 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 : 31 ( 31 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 : 22 (; 20 !; 2 ?; 22 :)
% 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(f56,plain,
$false,
inference(resolution,[],[f55,f38]) ).
tff(f38,plain,
~ price(sK0,seventy),
inference(cnf_transformation,[],[f29]) ).
tff(f29,plain,
( ~ price(sK0,seventy)
& '$ki_accessible'('#idx(b_s)','$ki_local_world',sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f28]) ).
tff(f28,plain,
( ? [X0: '$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(f21,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)','$ki_local_world',X0)
=> price(X0,seventy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f55,plain,
! [X0: '$ki_world'] : price(X0,seventy),
inference(subsumption_resolution,[],[f54,f48]) ).
tff(f48,plain,
! [X0: '$ki_world'] : class(X0,second),
inference(resolution,[],[f33,f41]) ).
tff(f41,plain,
! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'('#idx(b_s)',X1,X0),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
! [X0: '$ki_world',X1: '$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(f33,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
| class(X0,second) ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: '$ki_world'] :
( ( class(X0,second)
& dest(X0,paris) )
| ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
=> ( class(X0,second)
& dest(X0,paris) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
tff(f54,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ class(X0,second) ),
inference(resolution,[],[f42,f41]) ).
tff(f42,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
| ~ class(X0,second)
| price(X0,seventy) ),
inference(subsumption_resolution,[],[f39,f32]) ).
tff(f32,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
| dest(X0,paris) ),
inference(cnf_transformation,[],[f14]) ).
tff(f39,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ class(X0,second)
| ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
| ~ dest(X0,paris) ),
inference(cnf_transformation,[],[f25]) ).
tff(f25,plain,
! [X0: '$ki_world'] :
( ~ class(X0,second)
| ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
| price(X0,seventy)
| ~ dest(X0,paris) ),
inference(flattening,[],[f24]) ).
tff(f24,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ class(X0,second)
| ~ dest(X0,paris)
| ~ '$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)
=> ( ( class(X0,second)
& dest(X0,paris) )
=> price(X0,seventy) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NLP267_17 : TPTP v8.2.0. Released v8.2.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon May 22 12:24:52 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (4328)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.49 % (4306)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 % (4306)First to succeed.
% 0.19/0.49 % (4314)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (4319)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.50 % (4315)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (4320)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (4312)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (4312)Also succeeded, but the first one will report.
% 0.19/0.50 Detected maximum model sizes of [6]
% 0.19/0.51 % (4306)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (4306)------------------------------
% 0.19/0.51 % (4306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (4306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (4306)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (4306)Memory used [KB]: 5373
% 0.19/0.51 % (4306)Time elapsed: 0.101 s
% 0.19/0.51 % (4306)Instructions burned: 2 (million)
% 0.19/0.51 % (4306)------------------------------
% 0.19/0.51 % (4306)------------------------------
% 0.19/0.51 % (4301)Success in time 0.164 s
%------------------------------------------------------------------------------