TSTP Solution File: DAT035_1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT035_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 : n011.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 : Sun May 5 05:05:42 EDT 2024
% Result : Theorem 2.46s 0.70s
% Output : Refutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 24
% Syntax : Number of formulae : 66 ( 10 unt; 9 typ; 0 def)
% Number of atoms : 115 ( 22 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 108 ( 50 ~; 40 |; 6 &)
% ( 8 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 171 ( 51 atm; 38 fun; 35 num; 47 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 10 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 62 ( 56 !; 6 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_3,type,
count: collection > $int ).
tff(func_def_9,type,
sK0: collection ).
tff(func_def_10,type,
sK1: $int ).
tff(func_def_11,type,
sK2: $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f7478,plain,
$false,
inference(avatar_sat_refutation,[],[f1703,f2399,f3124,f3937,f7476]) ).
tff(f7476,plain,
( ~ spl3_4
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f7475]) ).
tff(f7475,plain,
( $false
| ~ spl3_4
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f7427,f2398]) ).
tff(f2398,plain,
( $less(1,sK2)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f2396]) ).
tff(f2396,plain,
( spl3_12
<=> $less(1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
tff(f7427,plain,
( ~ $less(1,sK2)
| ~ spl3_4 ),
inference(resolution,[],[f187,f1702]) ).
tff(f1702,plain,
( $less($sum(sK2,count(sK0)),$sum(1,count(sK0)))
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f1700]) ).
tff(f1700,plain,
( spl3_4
<=> $less($sum(sK2,count(sK0)),$sum(1,count(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
tff(f187,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less($sum(X1,X2),$sum(X0,X2))
| ~ $less(X0,X1) ),
inference(resolution,[],[f26,f124]) ).
tff(f124,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X0) ),
inference(resolution,[],[f24,f23]) ).
tff(f23,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f24,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_143,[]) ).
tff(f26,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
tff(f3937,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f3936]) ).
tff(f3936,plain,
( $false
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f3909,f54]) ).
tff(f54,plain,
$less(0,sK2),
inference(cnf_transformation,[],[f44]) ).
tff(f44,plain,
( $less($sum(count(sK0),sK2),count(add(sK1,sK0)))
& $less(0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f41,f43]) ).
tff(f43,plain,
( ? [X0: collection,X1: $int,X2: $int] :
( $less($sum(count(X0),X2),count(add(X1,X0)))
& $less(0,X2) )
=> ( $less($sum(count(sK0),sK2),count(add(sK1,sK0)))
& $less(0,sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f41,plain,
? [X0: collection,X1: $int,X2: $int] :
( $less($sum(count(X0),X2),count(add(X1,X0)))
& $less(0,X2) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
~ ! [X0: collection,X1: $int,X2: $int] :
( $less(0,X2)
=> ~ $less($sum(count(X0),X2),count(add(X1,X0))) ),
inference(theory_normalization,[],[f14]) ).
tff(f14,negated_conjecture,
~ ! [X0: collection,X1: $int,X2: $int] :
( $greater(X2,0)
=> $greatereq($sum(count(X0),X2),count(add(X1,X0))) ),
inference(negated_conjecture,[],[f13]) ).
tff(f13,conjecture,
! [X0: collection,X1: $int,X2: $int] :
( $greater(X2,0)
=> $greatereq($sum(count(X0),X2),count(add(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f3909,plain,
( ~ $less(0,sK2)
| ~ spl3_3 ),
inference(resolution,[],[f624,f1708]) ).
tff(f1708,plain,
( ~ $less(count(sK0),$sum(sK2,count(sK0)))
| ~ spl3_3 ),
inference(backward_demodulation,[],[f131,f1698]) ).
tff(f1698,plain,
( ( count(sK0) = count(add(sK1,sK0)) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f1696]) ).
tff(f1696,plain,
( spl3_3
<=> ( count(sK0) = count(add(sK1,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
tff(f131,plain,
~ $less(count(add(sK1,sK0)),$sum(sK2,count(sK0))),
inference(resolution,[],[f124,f82]) ).
tff(f82,plain,
$less($sum(sK2,count(sK0)),count(add(sK1,sK0))),
inference(forward_demodulation,[],[f55,f18]) ).
tff(f18,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f55,plain,
$less($sum(count(sK0),sK2),count(add(sK1,sK0))),
inference(cnf_transformation,[],[f44]) ).
tff(f624,plain,
! [X0: $int,X1: $int] :
( $less(X0,$sum(X1,X0))
| ~ $less(0,X1) ),
inference(superposition,[],[f191,f20]) ).
tff(f20,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f191,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) ),
inference(superposition,[],[f26,f18]) ).
tff(f3124,plain,
( ~ spl3_4
| ~ spl3_11 ),
inference(avatar_contradiction_clause,[],[f3123]) ).
tff(f3123,plain,
( $false
| ~ spl3_4
| ~ spl3_11 ),
inference(subsumption_resolution,[],[f2708,f23]) ).
tff(f2708,plain,
( $less($sum(1,count(sK0)),$sum(1,count(sK0)))
| ~ spl3_4
| ~ spl3_11 ),
inference(backward_demodulation,[],[f1702,f2394]) ).
tff(f2394,plain,
( ( 1 = sK2 )
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f2392]) ).
tff(f2392,plain,
( spl3_11
<=> ( 1 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
tff(f2399,plain,
( spl3_11
| spl3_12 ),
inference(avatar_split_clause,[],[f2388,f2396,f2392]) ).
tff(f2388,plain,
( $less(1,sK2)
| ( 1 = sK2 ) ),
inference(resolution,[],[f2301,f25]) ).
tff(f25,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f2301,plain,
~ $less(sK2,1),
inference(resolution,[],[f409,f54]) ).
tff(f409,plain,
! [X0: $int] :
( ~ $less(X0,1)
| ~ $less(0,X0) ),
inference(superposition,[],[f105,f20]) ).
tff(f105,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f29,f18]) ).
tff(f29,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
tff(f1703,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f1679,f1700,f1696]) ).
tff(f1679,plain,
( $less($sum(sK2,count(sK0)),$sum(1,count(sK0)))
| ( count(sK0) = count(add(sK1,sK0)) ) ),
inference(superposition,[],[f82,f319]) ).
tff(f319,plain,
! [X0: $int,X1: collection] :
( ( count(add(X0,X1)) = $sum(1,count(X1)) )
| ( count(X1) = count(add(X0,X1)) ) ),
inference(resolution,[],[f84,f67]) ).
tff(f67,plain,
! [X0: $int,X1: collection] :
( ~ in(X0,X1)
| ( count(X1) = count(add(X0,X1)) ) ),
inference(cnf_transformation,[],[f48]) ).
tff(f48,plain,
! [X0: $int,X1: collection] :
( ( in(X0,X1)
| ( count(X1) != count(add(X0,X1)) ) )
& ( ( count(X1) = count(add(X0,X1)) )
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f37]) ).
tff(f37,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
<=> ( count(X1) = count(add(X0,X1)) ) ),
inference(rectify,[],[f9]) ).
tff(f9,axiom,
! [X15: $int,X16: collection] :
( in(X15,X16)
<=> ( count(add(X15,X16)) = count(X16) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f84,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
| ( count(add(X0,X1)) = $sum(1,count(X1)) ) ),
inference(forward_demodulation,[],[f65,f18]) ).
tff(f65,plain,
! [X0: $int,X1: collection] :
( ( count(add(X0,X1)) = $sum(count(X1),1) )
| in(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
! [X0: $int,X1: collection] :
( ( ~ in(X0,X1)
| ( count(add(X0,X1)) != $sum(count(X1),1) ) )
& ( ( count(add(X0,X1)) = $sum(count(X1),1) )
| in(X0,X1) ) ),
inference(nnf_transformation,[],[f36]) ).
tff(f36,plain,
! [X0: $int,X1: collection] :
( ~ in(X0,X1)
<=> ( count(add(X0,X1)) = $sum(count(X1),1) ) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X13: $int,X14: collection] :
( ~ in(X13,X14)
<=> ( count(add(X13,X14)) = $sum(count(X14),1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT035_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n011.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 : Fri May 3 12:57:19 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (16951)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (16955)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (16955)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (16955)Terminated due to inappropriate strategy.
% 0.14/0.37 % (16955)------------------------------
% 0.14/0.37 % (16955)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (16955)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (16955)Memory used [KB]: 766
% 0.14/0.37 % (16955)Time elapsed: 0.002 s
% 0.14/0.37 % (16955)Instructions burned: 3 (million)
% 0.14/0.37 % (16955)------------------------------
% 0.14/0.37 % (16955)------------------------------
% 0.14/0.37 % (16954)WARNING: value z3 for option sas not known
% 0.14/0.37 % (16952)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (16953)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (16954)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)
% 0.14/0.37 % (16956)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)
% 0.14/0.38 % (16957)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)
% 0.14/0.38 % (16958)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)
% 0.14/0.38 % (16952)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (16952)Terminated due to inappropriate strategy.
% 0.14/0.38 % (16952)------------------------------
% 0.14/0.38 % (16952)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (16952)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (16952)Memory used [KB]: 766
% 0.14/0.38 % (16952)Time elapsed: 0.003 s
% 0.14/0.38 % (16952)Instructions burned: 3 (million)
% 0.14/0.38 % (16953)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (16953)Terminated due to inappropriate strategy.
% 0.14/0.38 % (16953)------------------------------
% 0.14/0.38 % (16953)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (16953)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (16953)Memory used [KB]: 767
% 0.14/0.38 % (16953)Time elapsed: 0.003 s
% 0.14/0.38 % (16953)Instructions burned: 3 (million)
% 0.14/0.38 % (16952)------------------------------
% 0.14/0.38 % (16952)------------------------------
% 0.14/0.38 % (16953)------------------------------
% 0.14/0.38 % (16953)------------------------------
% 0.14/0.38 % (16959)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.14/0.39 % (16959)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.39 % (16959)Terminated due to inappropriate strategy.
% 0.14/0.39 % (16959)------------------------------
% 0.14/0.39 % (16959)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (16959)Termination reason: Inappropriate
% 0.14/0.39
% 0.14/0.39 % (16959)Memory used [KB]: 766
% 0.14/0.39 % (16959)Time elapsed: 0.002 s
% 0.14/0.39 % (16959)Instructions burned: 3 (million)
% 0.14/0.39 % (16959)------------------------------
% 0.14/0.39 % (16959)------------------------------
% 0.22/0.39 % (16960)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.22/0.39 % (16961)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.22/0.40 % (16962)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 2.46/0.69 % (16961)First to succeed.
% 2.46/0.69 % (16961)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16951"
% 2.46/0.70 % (16961)Refutation found. Thanks to Tanya!
% 2.46/0.70 % SZS status Theorem for theBenchmark
% 2.46/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 2.46/0.70 % (16961)------------------------------
% 2.46/0.70 % (16961)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.46/0.70 % (16961)Termination reason: Refutation
% 2.46/0.70
% 2.46/0.70 % (16961)Memory used [KB]: 2844
% 2.46/0.70 % (16961)Time elapsed: 0.303 s
% 2.46/0.70 % (16961)Instructions burned: 637 (million)
% 2.46/0.70 % (16951)Success in time 0.331 s
%------------------------------------------------------------------------------