TSTP Solution File: ARI064_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI064_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_uns --cores 0 -t %d %s
% Computer : n023.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 15:45:20 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 8 unt; 1 typ; 0 def)
% Number of atoms : 42 ( 26 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 8 |; 4 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 75 ( 0 atm; 25 fun; 40 num; 10 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 8 !; 2 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(f216,plain,
$false,
inference(avatar_sat_refutation,[],[f23,f27,f181,f215]) ).
tff(f215,plain,
( spl1_1
| ~ spl1_6 ),
inference(avatar_split_clause,[],[f188,f179,f21]) ).
tff(f21,plain,
( spl1_1
<=> ( 2 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f179,plain,
( spl1_6
<=> ( 2 = $sum(sK0,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
tff(f188,plain,
( ( 2 = sK0 )
| ~ spl1_6 ),
inference(superposition,[],[f180,f5]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f180,plain,
( ( 2 = $sum(sK0,0) )
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f179]) ).
tff(f181,plain,
( spl1_6
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f177,f25,f179]) ).
tff(f25,plain,
( spl1_2
<=> ( 5 = $sum(sK0,3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f177,plain,
( ( 2 = $sum(sK0,0) )
| ~ spl1_2 ),
inference(evaluation,[],[f165]) ).
tff(f165,plain,
( ( $sum(5,$uminus(3)) = $sum(sK0,0) )
| ~ spl1_2 ),
inference(superposition,[],[f117,f7]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f117,plain,
( ! [X17: $int] : ( $sum(5,X17) = $sum(sK0,$sum(3,X17)) )
| ~ spl1_2 ),
inference(superposition,[],[f4,f26]) ).
tff(f26,plain,
( ( 5 = $sum(sK0,3) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f25]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
introduced(theory_axiom_141,[]) ).
tff(f27,plain,
spl1_2,
inference(avatar_split_clause,[],[f18,f25]) ).
tff(f18,plain,
5 = $sum(sK0,3),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( 2 != sK0 )
& ( 5 = $sum(sK0,3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] :
( ( 2 != X0 )
& ( $sum(X0,3) = 5 ) )
=> ( ( 2 != sK0 )
& ( 5 = $sum(sK0,3) ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] :
( ( 2 != X0 )
& ( $sum(X0,3) = 5 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $sum(X0,3) = 5 )
=> ( 2 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( ( $sum(X0,3) = 5 )
=> ( 2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_only_2_3_5) ).
tff(f23,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f19,f21]) ).
tff(f19,plain,
2 != sK0,
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ARI064=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.14 % 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 : n023.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 Aug 29 15:40:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.50 % (22233)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.20/0.50 % (22233)Refutation not found, incomplete strategy% (22233)------------------------------
% 0.20/0.50 % (22233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (22233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (22233)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (22233)Memory used [KB]: 5373
% 0.20/0.50 % (22233)Time elapsed: 0.099 s
% 0.20/0.50 % (22233)Instructions burned: 2 (million)
% 0.20/0.50 % (22233)------------------------------
% 0.20/0.50 % (22233)------------------------------
% 0.20/0.50 % (22249)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/41Mi)
% 0.20/0.50 % (22241)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.20/0.51 % (22241)Refutation not found, incomplete strategy% (22241)------------------------------
% 0.20/0.51 % (22241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (22241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (22241)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (22241)Memory used [KB]: 5373
% 0.20/0.51 % (22241)Time elapsed: 0.098 s
% 0.20/0.51 % (22241)Instructions burned: 1 (million)
% 0.20/0.51 % (22241)------------------------------
% 0.20/0.51 % (22241)------------------------------
% 0.20/0.51 % (22249)First to succeed.
% 0.20/0.51 % (22249)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (22249)------------------------------
% 0.20/0.51 % (22249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (22249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (22249)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (22249)Memory used [KB]: 5628
% 0.20/0.51 % (22249)Time elapsed: 0.105 s
% 0.20/0.51 % (22249)Instructions burned: 8 (million)
% 0.20/0.51 % (22249)------------------------------
% 0.20/0.51 % (22249)------------------------------
% 0.20/0.51 % (22219)Success in time 0.152 s
%------------------------------------------------------------------------------