TSTP Solution File: ARI258_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI258_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 : Mon May 20 18:49:51 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 32
% Syntax : Number of formulae : 72 ( 23 unt; 1 typ; 0 def)
% Number of atoms : 148 ( 41 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 132 ( 55 ~; 52 |; 4 &)
% ( 18 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 238 ( 35 atm; 78 fun; 58 num; 67 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 : 67 ( 65 !; 2 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $rat ).
tff(f181,plain,
$false,
inference(avatar_sat_refutation,[],[f23,f28,f32,f36,f40,f44,f48,f57,f61,f68,f72,f82,f86,f114,f137,f141,f157,f175,f180]) ).
tff(f180,plain,
( spl1_1
| ~ spl1_6
| ~ spl1_17 ),
inference(avatar_split_clause,[],[f165,f155,f42,f20]) ).
tff(f20,plain,
( spl1_1
<=> ( 17/4 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f42,plain,
( spl1_6
<=> ! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
tff(f155,plain,
( spl1_17
<=> ! [X0: $rat] : ( $sum(10/1,X0) = $sum(sK0,$sum(23/4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).
tff(f165,plain,
( ( 17/4 = sK0 )
| ~ spl1_6
| ~ spl1_17 ),
inference(evaluation,[],[f159]) ).
tff(f159,plain,
( ( $sum(10/1,$uminus(23/4)) = $sum(sK0,0/1) )
| ~ spl1_6
| ~ spl1_17 ),
inference(superposition,[],[f156,f43]) ).
tff(f43,plain,
( ! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) )
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f42]) ).
tff(f156,plain,
( ! [X0: $rat] : ( $sum(10/1,X0) = $sum(sK0,$sum(23/4,X0)) )
| ~ spl1_17 ),
inference(avatar_component_clause,[],[f155]) ).
tff(f175,plain,
( spl1_18
| ~ spl1_3
| ~ spl1_9 ),
inference(avatar_split_clause,[],[f62,f59,f30,f173]) ).
tff(f173,plain,
( spl1_18
<=> ! [X0: $rat] : $less(X0,$sum(X0,1/1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).
tff(f30,plain,
( spl1_3
<=> ! [X0: $rat] : ~ $less(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f59,plain,
( spl1_9
<=> ! [X0: $rat,X1: $rat] :
( $less(X0,X1)
| $less(X1,$sum(X0,1/1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).
tff(f62,plain,
( ! [X0: $rat] : $less(X0,$sum(X0,1/1))
| ~ spl1_3
| ~ spl1_9 ),
inference(resolution,[],[f60,f31]) ).
tff(f31,plain,
( ! [X0: $rat] : ~ $less(X0,X0)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f30]) ).
tff(f60,plain,
( ! [X0: $rat,X1: $rat] :
( $less(X1,$sum(X0,1/1))
| $less(X0,X1) )
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f59]) ).
tff(f157,plain,
( spl1_17
| ~ spl1_2
| ~ spl1_14 ),
inference(avatar_split_clause,[],[f121,f112,f25,f155]) ).
tff(f25,plain,
( spl1_2
<=> ( 10/1 = $sum(sK0,23/4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f112,plain,
( spl1_14
<=> ! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).
tff(f121,plain,
( ! [X0: $rat] : ( $sum(10/1,X0) = $sum(sK0,$sum(23/4,X0)) )
| ~ spl1_2
| ~ spl1_14 ),
inference(superposition,[],[f113,f27]) ).
tff(f27,plain,
( ( 10/1 = $sum(sK0,23/4) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f25]) ).
tff(f113,plain,
( ! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) )
| ~ spl1_14 ),
inference(avatar_component_clause,[],[f112]) ).
tff(f141,plain,
( spl1_16
| ~ spl1_2
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f104,f84,f25,f139]) ).
tff(f139,plain,
( spl1_16
<=> ! [X0: $rat] :
( $less($sum(X0,23/4),10/1)
| ~ $less(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_16])]) ).
tff(f84,plain,
( spl1_13
<=> ! [X2: $rat,X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).
tff(f104,plain,
( ! [X0: $rat] :
( $less($sum(X0,23/4),10/1)
| ~ $less(X0,sK0) )
| ~ spl1_2
| ~ spl1_13 ),
inference(superposition,[],[f85,f27]) ).
tff(f85,plain,
( ! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) )
| ~ spl1_13 ),
inference(avatar_component_clause,[],[f84]) ).
tff(f137,plain,
( spl1_15
| ~ spl1_2
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f99,f84,f25,f135]) ).
tff(f135,plain,
( spl1_15
<=> ! [X0: $rat] :
( $less(10/1,$sum(X0,23/4))
| ~ $less(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).
tff(f99,plain,
( ! [X0: $rat] :
( $less(10/1,$sum(X0,23/4))
| ~ $less(sK0,X0) )
| ~ spl1_2
| ~ spl1_13 ),
inference(superposition,[],[f85,f27]) ).
tff(f114,plain,
spl1_14,
inference(avatar_split_clause,[],[f4,f112]) ).
tff(f4,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f86,plain,
spl1_13,
inference(avatar_split_clause,[],[f11,f84]) ).
tff(f11,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_145,[]) ).
tff(f82,plain,
spl1_12,
inference(avatar_split_clause,[],[f6,f80]) ).
tff(f80,plain,
( spl1_12
<=> ! [X0: $rat,X1: $rat] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).
tff(f6,plain,
! [X0: $rat,X1: $rat] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_139,[]) ).
tff(f72,plain,
spl1_11,
inference(avatar_split_clause,[],[f10,f70]) ).
tff(f70,plain,
( spl1_11
<=> ! [X0: $rat,X1: $rat] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
tff(f10,plain,
! [X0: $rat,X1: $rat] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f68,plain,
spl1_10,
inference(avatar_split_clause,[],[f9,f66]) ).
tff(f66,plain,
( spl1_10
<=> ! [X2: $rat,X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).
tff(f9,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f61,plain,
spl1_9,
inference(avatar_split_clause,[],[f12,f59]) ).
tff(f12,plain,
! [X0: $rat,X1: $rat] :
( $less(X0,X1)
| $less(X1,$sum(X0,1/1)) ),
introduced(theory_axiom_147,[]) ).
tff(f57,plain,
( spl1_8
| ~ spl1_2
| ~ spl1_7 ),
inference(avatar_split_clause,[],[f49,f46,f25,f54]) ).
tff(f54,plain,
( spl1_8
<=> ( 10/1 = $sum(23/4,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
tff(f46,plain,
( spl1_7
<=> ! [X0: $rat,X1: $rat] : ( $sum(X0,X1) = $sum(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
tff(f49,plain,
( ( 10/1 = $sum(23/4,sK0) )
| ~ spl1_2
| ~ spl1_7 ),
inference(superposition,[],[f47,f27]) ).
tff(f47,plain,
( ! [X0: $rat,X1: $rat] : ( $sum(X0,X1) = $sum(X1,X0) )
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f46]) ).
tff(f48,plain,
spl1_7,
inference(avatar_split_clause,[],[f3,f46]) ).
tff(f3,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f44,plain,
spl1_6,
inference(avatar_split_clause,[],[f7,f42]) ).
tff(f7,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f40,plain,
spl1_5,
inference(avatar_split_clause,[],[f13,f38]) ).
tff(f38,plain,
( spl1_5
<=> ! [X0: $rat] : ( $uminus($uminus(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
tff(f13,plain,
! [X0: $rat] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f36,plain,
spl1_4,
inference(avatar_split_clause,[],[f5,f34]) ).
tff(f34,plain,
( spl1_4
<=> ! [X0: $rat] : ( $sum(X0,0/1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f5,plain,
! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f32,plain,
spl1_3,
inference(avatar_split_clause,[],[f8,f30]) ).
tff(f8,plain,
! [X0: $rat] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f28,plain,
spl1_2,
inference(avatar_split_clause,[],[f17,f25]) ).
tff(f17,plain,
10/1 = $sum(sK0,23/4),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ( 17/4 != sK0 )
& ( 10/1 = $sum(sK0,23/4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).
tff(f15,plain,
( ? [X0: $rat] :
( ( 17/4 != X0 )
& ( $sum(X0,23/4) = 10/1 ) )
=> ( ( 17/4 != sK0 )
& ( 10/1 = $sum(sK0,23/4) ) ) ),
introduced(choice_axiom,[]) ).
tff(f14,plain,
? [X0: $rat] :
( ( 17/4 != X0 )
& ( $sum(X0,23/4) = 10/1 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $sum(X0,23/4) = 10/1 )
=> ( 17/4 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $sum(X0,23/4) = 10/1 )
=> ( 17/4 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_sum_problem_13) ).
tff(f23,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f18,f20]) ).
tff(f18,plain,
17/4 != sK0,
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI258_1 : TPTP v8.2.0. Released v5.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 13:27:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (4480)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (4483)WARNING: value z3 for option sas not known
% 0.15/0.38 % (4482)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (4484)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (4481)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (4483)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)
% 0.15/0.38 % (4485)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)
% 0.15/0.38 % (4486)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)
% 0.15/0.38 % (4481)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (4482)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (4484)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (4487)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)
% 0.15/0.38 % (4484)Terminated due to inappropriate strategy.
% 0.15/0.38 % (4484)------------------------------
% 0.15/0.38 % (4484)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (4482)Terminated due to inappropriate strategy.
% 0.15/0.38 % (4482)------------------------------
% 0.15/0.38 % (4482)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (4484)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (4482)Termination reason: Inappropriate
% 0.15/0.38 % (4484)Memory used [KB]: 722
% 0.15/0.38
% 0.15/0.38 % (4484)Time elapsed: 0.002 s
% 0.15/0.38 % (4482)Memory used [KB]: 723
% 0.15/0.38 % (4482)Time elapsed: 0.002 s
% 0.15/0.38 % (4484)Instructions burned: 2 (million)
% 0.15/0.38 % (4482)Instructions burned: 2 (million)
% 0.15/0.38 % (4481)Terminated due to inappropriate strategy.
% 0.15/0.38 % (4481)------------------------------
% 0.15/0.38 % (4481)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (4481)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (4481)Memory used [KB]: 722
% 0.15/0.38 % (4481)Time elapsed: 0.002 s
% 0.15/0.38 % (4481)Instructions burned: 2 (million)
% 0.15/0.38 % (4484)------------------------------
% 0.15/0.38 % (4484)------------------------------
% 0.15/0.38 % (4482)------------------------------
% 0.15/0.38 % (4482)------------------------------
% 0.15/0.38 % (4481)------------------------------
% 0.15/0.38 % (4481)------------------------------
% 0.15/0.39 % (4485)First to succeed.
% 0.15/0.39 % (4485)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4480"
% 0.15/0.39 % (4485)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (4485)------------------------------
% 0.15/0.39 % (4485)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (4485)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (4485)Memory used [KB]: 867
% 0.15/0.39 % (4485)Time elapsed: 0.009 s
% 0.15/0.39 % (4485)Instructions burned: 10 (million)
% 0.15/0.39 % (4480)Success in time 0.023 s
%------------------------------------------------------------------------------