TSTP Solution File: HWV013-2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HWV013-2 : TPTP v8.1.0. Released v2.5.0.
% 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 : n015.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 16:58:13 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 34 ( 26 unt; 0 def)
% Number of atoms : 54 ( 24 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 32 ( 12 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f333,plain,
$false,
inference(subsumption_resolution,[],[f332,f154]) ).
fof(f154,plain,
sF3 != sF5,
inference(definition_folding,[],[f139,f153,f152,f151,f150]) ).
fof(f150,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = sF2,
introduced(function_definition,[]) ).
fof(f151,plain,
f_ADD_(sF2,n1) = sF3,
introduced(function_definition,[]) ).
fof(f152,plain,
f_ADD_(t_206,n1) = sF4,
introduced(function_definition,[]) ).
fof(f153,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(sF4) = sF5,
introduced(function_definition,[]) ).
fof(f139,plain,
f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) != fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
inference(definition_unfolding,[],[f138,f4,f4]) ).
fof(f4,axiom,
! [X1] : fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f138,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
fof(f332,plain,
sF3 = sF5,
inference(forward_demodulation,[],[f153,f331]) ).
fof(f331,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(sF4) = sF3,
inference(backward_demodulation,[],[f326,f151]) ).
fof(f326,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(sF4) = f_ADD_(sF2,n1),
inference(forward_demodulation,[],[f325,f150]) ).
fof(f325,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(sF4) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1),
inference(forward_demodulation,[],[f324,f152]) ).
fof(f324,plain,
f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
inference(subsumption_resolution,[],[f323,f149]) ).
fof(f149,plain,
~ p__pred_(sF1),
inference(definition_folding,[],[f134,f148]) ).
fof(f148,plain,
fwork_DOTfifo_DOTrtl_DOTreset_(t_206) = sF1,
introduced(function_definition,[]) ).
fof(f134,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f323,plain,
( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| p__pred_(sF1) ),
inference(forward_demodulation,[],[f322,f148]) ).
fof(f322,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) ),
inference(subsumption_resolution,[],[f321,f155]) ).
fof(f155,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,sF2),
inference(definition_folding,[],[f140,f150]) ).
fof(f140,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
inference(definition_unfolding,[],[f137,f4]) ).
fof(f137,axiom,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f321,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,sF2)
| f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) ),
inference(forward_demodulation,[],[f320,f150]) ).
fof(f320,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) ),
inference(subsumption_resolution,[],[f319,f157]) ).
fof(f157,plain,
~ p__pred_(sF6),
inference(definition_folding,[],[f135,f156]) ).
fof(f156,plain,
fwork_DOTfifo_DOTrtl_DOTrd_(t_206) = sF6,
introduced(function_definition,[]) ).
fof(f135,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f319,plain,
( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| p__pred_(sF6) ),
inference(forward_demodulation,[],[f318,f156]) ).
fof(f318,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) ),
inference(subsumption_resolution,[],[f317,f147]) ).
fof(f147,plain,
p__pred_(sF0),
inference(definition_folding,[],[f136,f146]) ).
fof(f146,plain,
fwork_DOTfifo_DOTrtl_DOTwr_(t_206) = sF0,
introduced(function_definition,[]) ).
fof(f136,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f317,plain,
( ~ p__pred_(sF0)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) ),
inference(superposition,[],[f17,f146]) ).
fof(f17,axiom,
! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : HWV013-2 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % 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 : n015.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 Aug 29 23:08:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 % (17539)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.45 % (17523)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.47 % (17531)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.49 % (17539)First to succeed.
% 0.18/0.50 % (17524)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.51 % (17539)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (17539)------------------------------
% 0.18/0.51 % (17539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (17539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (17539)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (17539)Memory used [KB]: 5756
% 0.18/0.51 % (17539)Time elapsed: 0.114 s
% 0.18/0.51 % (17539)Instructions burned: 19 (million)
% 0.18/0.51 % (17539)------------------------------
% 0.18/0.51 % (17539)------------------------------
% 0.18/0.51 % (17510)Success in time 0.173 s
%------------------------------------------------------------------------------