TSTP Solution File: ARI282_1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI282_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n001.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 15:47:53 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 10 unt; 3 typ; 0 def)
% Number of atoms : 18 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 33 ( 0 atm; 11 fun; 22 num; 0 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 2 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sF0: $rat ).
tff(func_def_9,type,
sF1: $rat ).
tff(pred_def_1,type,
p: $rat > $o ).
tff(f25,plain,
$false,
inference(subsumption_resolution,[],[f24,f17]) ).
tff(f17,plain,
~ p(1/3),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
( ~ p(1/3)
& p($sum(5/12,$uminus(1/12))) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( p($sum(5/12,$uminus(1/12)))
=> p(1/3) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( p($difference(5/12,1/12))
=> p(1/3) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( p($difference(5/12,1/12))
=> p(1/3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_difference_problem_10) ).
tff(f24,plain,
p(1/3),
inference(forward_demodulation,[],[f20,f23]) ).
tff(f23,plain,
1/3 = sF1,
inference(evaluation,[],[f22]) ).
tff(f22,plain,
sF1 = $sum(5/12,-1/12),
inference(backward_demodulation,[],[f19,f21]) ).
tff(f21,plain,
sF0 = -1/12,
inference(evaluation,[],[f18]) ).
tff(f18,plain,
sF0 = $uminus(1/12),
introduced(function_definition,[]) ).
tff(f19,plain,
sF1 = $sum(5/12,sF0),
introduced(function_definition,[]) ).
tff(f20,plain,
p(sF1),
inference(definition_folding,[],[f16,f19,f18]) ).
tff(f16,plain,
p($sum(5/12,$uminus(1/12))),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ARI282=1 : TPTP v8.1.0. Released v5.0.0.
% 0.13/0.13 % 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 : n001.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 15:52:59 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.51 % (14236)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51 % (14212)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 (2999ds/191324Mi)
% 0.19/0.51 % (14212)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.51 % (14212)Terminated due to inappropriate strategy.
% 0.19/0.51 % (14212)------------------------------
% 0.19/0.51 % (14212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (14212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (14212)Termination reason: Inappropriate
% 0.19/0.51
% 0.19/0.51 % (14212)Memory used [KB]: 895
% 0.19/0.51 % (14212)Time elapsed: 0.003 s
% 0.19/0.51 % (14212)Instructions burned: 2 (million)
% 0.19/0.51 % (14212)------------------------------
% 0.19/0.51 % (14212)------------------------------
% 0.19/0.51 % (14218)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (14218)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.51 % (14218)Terminated due to inappropriate strategy.
% 0.19/0.51 % (14218)------------------------------
% 0.19/0.51 % (14218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (14218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (14218)Termination reason: Inappropriate
% 0.19/0.51
% 0.19/0.51 % (14218)Memory used [KB]: 895
% 0.19/0.51 % (14218)Time elapsed: 0.001 s
% 0.19/0.51 % (14218)------------------------------
% 0.19/0.51 % (14218)------------------------------
% 0.19/0.52 % (14236)First to succeed.
% 0.19/0.52 % (14236)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (14236)------------------------------
% 0.19/0.52 % (14236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (14236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (14236)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (14236)Memory used [KB]: 5373
% 0.19/0.52 % (14236)Time elapsed: 0.003 s
% 0.19/0.52 % (14236)Instructions burned: 2 (million)
% 0.19/0.52 % (14236)------------------------------
% 0.19/0.52 % (14236)------------------------------
% 0.19/0.52 % (14211)Success in time 0.168 s
%------------------------------------------------------------------------------