TSTP Solution File: ARI064_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI064_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 : Tue Apr 30 10:34:31 EDT 2024
% Result : Theorem 0.16s 0.34s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 33
% Syntax : Number of formulae : 70 ( 24 unt; 1 typ; 0 def)
% Number of atoms : 141 ( 41 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 124 ( 52 ~; 47 |; 4 &)
% ( 18 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 234 ( 34 atm; 77 fun; 57 num; 66 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 21 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 8 ( 1 usr; 6 con; 0-2 aty)
% Number of variables : 66 ( 64 !; 2 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(f185,plain,
$false,
inference(avatar_sat_refutation,[],[f24,f29,f33,f37,f41,f45,f49,f58,f62,f66,f76,f80,f92,f96,f125,f149,f153,f169,f184]) ).
tff(f184,plain,
( spl1_1
| ~ spl1_6
| ~ spl1_18 ),
inference(avatar_split_clause,[],[f177,f167,f43,f21]) ).
tff(f21,plain,
( spl1_1
<=> ( 2 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f43,plain,
( spl1_6
<=> ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
tff(f167,plain,
( spl1_18
<=> ! [X0: $int] : ( $sum(5,X0) = $sum(sK0,$sum(3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).
tff(f177,plain,
( ( 2 = sK0 )
| ~ spl1_6
| ~ spl1_18 ),
inference(evaluation,[],[f171]) ).
tff(f171,plain,
( ( $sum(5,$uminus(3)) = $sum(sK0,0) )
| ~ spl1_6
| ~ spl1_18 ),
inference(superposition,[],[f168,f44]) ).
tff(f44,plain,
( ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) )
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f43]) ).
tff(f168,plain,
( ! [X0: $int] : ( $sum(5,X0) = $sum(sK0,$sum(3,X0)) )
| ~ spl1_18 ),
inference(avatar_component_clause,[],[f167]) ).
tff(f169,plain,
( spl1_18
| ~ spl1_2
| ~ spl1_15 ),
inference(avatar_split_clause,[],[f132,f123,f26,f167]) ).
tff(f26,plain,
( spl1_2
<=> ( 5 = $sum(sK0,3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f123,plain,
( spl1_15
<=> ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).
tff(f132,plain,
( ! [X0: $int] : ( $sum(5,X0) = $sum(sK0,$sum(3,X0)) )
| ~ spl1_2
| ~ spl1_15 ),
inference(superposition,[],[f124,f28]) ).
tff(f28,plain,
( ( 5 = $sum(sK0,3) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f26]) ).
tff(f124,plain,
( ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) )
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f123]) ).
tff(f153,plain,
( spl1_17
| ~ spl1_2
| ~ spl1_14 ),
inference(avatar_split_clause,[],[f121,f94,f26,f151]) ).
tff(f151,plain,
( spl1_17
<=> ! [X0: $int] :
( $less($sum(X0,3),5)
| ~ $less(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).
tff(f94,plain,
( spl1_14
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).
tff(f121,plain,
( ! [X0: $int] :
( $less($sum(X0,3),5)
| ~ $less(X0,sK0) )
| ~ spl1_2
| ~ spl1_14 ),
inference(superposition,[],[f95,f28]) ).
tff(f95,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) )
| ~ spl1_14 ),
inference(avatar_component_clause,[],[f94]) ).
tff(f149,plain,
( spl1_16
| ~ spl1_2
| ~ spl1_14 ),
inference(avatar_split_clause,[],[f115,f94,f26,f147]) ).
tff(f147,plain,
( spl1_16
<=> ! [X0: $int] :
( $less(5,$sum(X0,3))
| ~ $less(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_16])]) ).
tff(f115,plain,
( ! [X0: $int] :
( $less(5,$sum(X0,3))
| ~ $less(sK0,X0) )
| ~ spl1_2
| ~ spl1_14 ),
inference(superposition,[],[f95,f28]) ).
tff(f125,plain,
spl1_15,
inference(avatar_split_clause,[],[f4,f123]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f96,plain,
spl1_14,
inference(avatar_split_clause,[],[f11,f94]) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_145,[]) ).
tff(f92,plain,
spl1_13,
inference(avatar_split_clause,[],[f6,f90]) ).
tff(f90,plain,
( spl1_13
<=> ! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).
tff(f6,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_139,[]) ).
tff(f80,plain,
spl1_12,
inference(avatar_split_clause,[],[f10,f78]) ).
tff(f78,plain,
( spl1_12
<=> ! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f76,plain,
spl1_11,
inference(avatar_split_clause,[],[f9,f74]) ).
tff(f74,plain,
( spl1_11
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f66,plain,
spl1_10,
inference(avatar_split_clause,[],[f14,f64]) ).
tff(f64,plain,
( spl1_10
<=> ! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).
tff(f14,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_161,[]) ).
tff(f62,plain,
spl1_9,
inference(avatar_split_clause,[],[f12,f60]) ).
tff(f60,plain,
( spl1_9
<=> ! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_147,[]) ).
tff(f58,plain,
( spl1_8
| ~ spl1_2
| ~ spl1_7 ),
inference(avatar_split_clause,[],[f50,f47,f26,f55]) ).
tff(f55,plain,
( spl1_8
<=> ( 5 = $sum(3,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
tff(f47,plain,
( spl1_7
<=> ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
tff(f50,plain,
( ( 5 = $sum(3,sK0) )
| ~ spl1_2
| ~ spl1_7 ),
inference(superposition,[],[f48,f28]) ).
tff(f48,plain,
( ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) )
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f47]) ).
tff(f49,plain,
spl1_7,
inference(avatar_split_clause,[],[f3,f47]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f45,plain,
spl1_6,
inference(avatar_split_clause,[],[f7,f43]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f41,plain,
spl1_5,
inference(avatar_split_clause,[],[f13,f39]) ).
tff(f39,plain,
( spl1_5
<=> ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
tff(f13,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f37,plain,
spl1_4,
inference(avatar_split_clause,[],[f5,f35]) ).
tff(f35,plain,
( spl1_4
<=> ! [X0: $int] : ( $sum(X0,0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f33,plain,
spl1_3,
inference(avatar_split_clause,[],[f8,f31]) ).
tff(f31,plain,
( spl1_3
<=> ! [X0: $int] : ~ $less(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f29,plain,
spl1_2,
inference(avatar_split_clause,[],[f18,f26]) ).
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/sandbox2/benchmark/theBenchmark.p',sum_only_2_3_5) ).
tff(f24,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f19,f21]) ).
tff(f19,plain,
2 != sK0,
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ARI064_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n006.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 05:23:20 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.31 % (6803)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (6806)WARNING: value z3 for option sas not known
% 0.16/0.33 % (6805)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (6806)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33 % (6805)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.33 % (6808)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.33 % (6805)Terminated due to inappropriate strategy.
% 0.16/0.33 % (6805)------------------------------
% 0.16/0.33 % (6805)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.33 % (6805)Termination reason: Inappropriate
% 0.16/0.33
% 0.16/0.33 % (6807)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (6805)Memory used [KB]: 722
% 0.16/0.33 % (6805)Time elapsed: 0.002 s
% 0.16/0.33 % (6805)Instructions burned: 2 (million)
% 0.16/0.33 % (6805)------------------------------
% 0.16/0.33 % (6805)------------------------------
% 0.16/0.33 % (6804)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (6809)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.33 % (6810)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.33 % (6807)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.33 % (6807)Terminated due to inappropriate strategy.
% 0.16/0.33 % (6807)------------------------------
% 0.16/0.33 % (6807)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.33 % (6804)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.33 % (6807)Termination reason: Inappropriate
% 0.16/0.33
% 0.16/0.33 % (6807)Memory used [KB]: 722
% 0.16/0.33 % (6807)Time elapsed: 0.001 s
% 0.16/0.33 % (6807)Instructions burned: 2 (million)
% 0.16/0.33 % (6807)------------------------------
% 0.16/0.33 % (6807)------------------------------
% 0.16/0.33 % (6804)Terminated due to inappropriate strategy.
% 0.16/0.33 % (6804)------------------------------
% 0.16/0.33 % (6804)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.33 % (6804)Termination reason: Inappropriate
% 0.16/0.33
% 0.16/0.33 % (6804)Memory used [KB]: 722
% 0.16/0.33 % (6804)Time elapsed: 0.002 s
% 0.16/0.33 % (6804)Instructions burned: 2 (million)
% 0.16/0.33 % (6804)------------------------------
% 0.16/0.33 % (6804)------------------------------
% 0.16/0.33 % (6808)First to succeed.
% 0.16/0.34 % (6808)Refutation found. Thanks to Tanya!
% 0.16/0.34 % SZS status Theorem for theBenchmark
% 0.16/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.34 % (6808)------------------------------
% 0.16/0.34 % (6808)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.34 % (6808)Termination reason: Refutation
% 0.16/0.34
% 0.16/0.34 % (6808)Memory used [KB]: 866
% 0.16/0.34 % (6808)Time elapsed: 0.008 s
% 0.16/0.34 % (6808)Instructions burned: 10 (million)
% 0.16/0.34 % (6808)------------------------------
% 0.16/0.34 % (6808)------------------------------
% 0.16/0.34 % (6803)Success in time 0.02 s
%------------------------------------------------------------------------------