TSTP Solution File: ARI602_1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI602_1 : TPTP v8.1.0. Released v5.1.0.
% 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 : n017.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 : Wed Aug 31 15:48:41 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 8 unt; 2 typ; 0 def)
% Number of atoms : 26 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 4 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 60 ( 24 atm; 3 fun; 18 num; 15 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 2 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 12 !; 3 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(func_def_7,type,
sF0: $int ).
tff(f54,plain,
$false,
inference(resolution,[],[f53,f21]) ).
tff(f21,plain,
$less(5,sF0),
inference(superposition,[],[f18,f19]) ).
tff(f19,plain,
f(5) = sF0,
introduced(function_definition,[]) ).
tff(f18,plain,
! [X0: $int] : $less(X0,f(X0)),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ! [X0: $int] : $less(X0,f(X0))
& ! [X1: $int] :
( ~ $less(4,X1)
| ~ $less(X1,f(5)) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ! [X0: $int] : $less(X0,f(X0))
=> ? [X1: $int] :
( $less(X1,f(5))
& $less(4,X1) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int] : $greater(f(X0),X0)
=> ? [X1: $int] :
( $less(X1,f(5))
& $less(4,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X0: $int] : $greater(f(X0),X0)
=> ? [X1: $int] :
( $less(X1,f(5))
& $less(4,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fX_gt_X_implies_exist_ineq) ).
tff(f53,plain,
~ $less(5,sF0),
inference(evaluation,[],[f48]) ).
tff(f48,plain,
~ $less($sum(4,1),sF0),
inference(resolution,[],[f41,f20]) ).
tff(f20,plain,
! [X1: $int] :
( ~ $less(4,X1)
| ~ $less(X1,sF0) ),
inference(definition_folding,[],[f17,f19]) ).
tff(f17,plain,
! [X1: $int] :
( ~ $less(X1,f(5))
| ~ $less(4,X1) ),
inference(cnf_transformation,[],[f16]) ).
tff(f41,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f13,f9]) ).
tff(f9,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f13,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ARI602=1 : TPTP v8.1.0. Released v5.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.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 Aug 29 15:15:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (20485)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.50 % (20500)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 (3000ds/68Mi)
% 0.19/0.50 % (20474)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.19/0.50 % (20474)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.50 % (20474)Terminated due to inappropriate strategy.
% 0.19/0.50 % (20474)------------------------------
% 0.19/0.50 % (20474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (20474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (20474)Termination reason: Inappropriate
% 0.19/0.50
% 0.19/0.50 % (20474)Memory used [KB]: 895
% 0.19/0.50 % (20474)Time elapsed: 0.001 s
% 0.19/0.50 % (20474)------------------------------
% 0.19/0.50 % (20474)------------------------------
% 0.19/0.50 % (20485)First to succeed.
% 0.19/0.51 % (20487)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.51 % (20487)Also succeeded, but the first one will report.
% 0.19/0.51 % (20485)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 % (20485)------------------------------
% 0.19/0.51 % (20485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (20485)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (20485)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (20485)Memory used [KB]: 5373
% 0.19/0.51 % (20485)Time elapsed: 0.106 s
% 0.19/0.51 % (20485)Instructions burned: 2 (million)
% 0.19/0.51 % (20485)------------------------------
% 0.19/0.51 % (20485)------------------------------
% 0.19/0.51 % (20473)Success in time 0.158 s
%------------------------------------------------------------------------------