TSTP Solution File: ARI683_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI683_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n020.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 30 17:54:36 EDT 2023
% Result : Theorem 0.22s 0.58s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 65
% Syntax : Number of formulae : 111 ( 56 unt; 23 typ; 0 def)
% Number of atoms : 134 ( 33 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 88 ( 42 ~; 25 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number arithmetic : 232 ( 33 atm; 164 fun; 35 num; 0 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 25 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 26 ( 23 usr; 24 con; 0-2 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
b: $int ).
tff(func_def_1,type,
c: $int ).
tff(func_def_2,type,
g: $int ).
tff(func_def_3,type,
h: $int ).
tff(func_def_4,type,
a: $int ).
tff(func_def_5,type,
f: $int ).
tff(func_def_6,type,
i: $int ).
tff(func_def_7,type,
d: $int ).
tff(func_def_8,type,
e: $int ).
tff(func_def_12,type,
sF0: $int ).
tff(func_def_13,type,
sF1: $int ).
tff(func_def_14,type,
sF2: $int ).
tff(func_def_15,type,
sF3: $int ).
tff(func_def_16,type,
sF4: $int ).
tff(func_def_17,type,
sF5: $int ).
tff(func_def_18,type,
sF6: $int ).
tff(func_def_19,type,
sF7: $int ).
tff(func_def_20,type,
sF8: $int ).
tff(func_def_21,type,
sF9: $int ).
tff(func_def_22,type,
sF10: $int ).
tff(func_def_23,type,
sF11: $int ).
tff(func_def_24,type,
sF12: $int ).
tff(func_def_25,type,
sF13: $int ).
tff(f146,plain,
$false,
inference(avatar_smt_refutation,[],[f40,f45,f50,f55,f60,f65,f70,f75,f80,f85,f90,f95,f100,f105,f110,f115,f120,f125,f130,f135,f145]) ).
tff(f145,plain,
( ~ spl14_21
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9
| ~ spl14_10
| ~ spl14_11 ),
inference(avatar_split_clause,[],[f140,f87,f82,f77,f72,f67,f142]) ).
tff(f142,plain,
( spl14_21
<=> $less(sF4,$sum($product(a,f),$product(-1,$product(a,h)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_21])]) ).
tff(f67,plain,
( spl14_7
<=> ( $product(c,g) = sF0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
tff(f72,plain,
( spl14_8
<=> ( $sum(b,sF0) = sF1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
tff(f77,plain,
( spl14_9
<=> ( $product(c,h) = sF2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
tff(f82,plain,
( spl14_10
<=> ( $product(-1,sF2) = sF3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
tff(f87,plain,
( spl14_11
<=> ( $sum(sF1,sF3) = sF4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
tff(f140,plain,
( ~ $less(sF4,$sum($product(a,f),$product(-1,$product(a,h))))
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9
| ~ spl14_10
| ~ spl14_11 ),
inference(forward_demodulation,[],[f139,f89]) ).
tff(f89,plain,
( ( $sum(sF1,sF3) = sF4 )
| ~ spl14_11 ),
inference(avatar_component_clause,[],[f87]) ).
tff(f139,plain,
( ~ $less($sum(sF1,sF3),$sum($product(a,f),$product(-1,$product(a,h))))
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9
| ~ spl14_10 ),
inference(forward_demodulation,[],[f138,f74]) ).
tff(f74,plain,
( ( $sum(b,sF0) = sF1 )
| ~ spl14_8 ),
inference(avatar_component_clause,[],[f72]) ).
tff(f138,plain,
( ~ $less($sum($sum(b,sF0),sF3),$sum($product(a,f),$product(-1,$product(a,h))))
| ~ spl14_7
| ~ spl14_9
| ~ spl14_10 ),
inference(forward_demodulation,[],[f137,f69]) ).
tff(f69,plain,
( ( $product(c,g) = sF0 )
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f67]) ).
tff(f137,plain,
( ~ $less($sum($sum(b,$product(c,g)),sF3),$sum($product(a,f),$product(-1,$product(a,h))))
| ~ spl14_9
| ~ spl14_10 ),
inference(forward_demodulation,[],[f136,f84]) ).
tff(f84,plain,
( ( $product(-1,sF2) = sF3 )
| ~ spl14_10 ),
inference(avatar_component_clause,[],[f82]) ).
tff(f136,plain,
( ~ $less($sum($sum(b,$product(c,g)),$product(-1,sF2)),$sum($product(a,f),$product(-1,$product(a,h))))
| ~ spl14_9 ),
inference(forward_demodulation,[],[f20,f79]) ).
tff(f79,plain,
( ( $product(c,h) = sF2 )
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f77]) ).
tff(f20,plain,
~ $less($sum($sum(b,$product(c,g)),$product(-1,$product(c,h))),$sum($product(a,f),$product(-1,$product(a,h)))),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
~ $less($sum($sum(b,$product(c,g)),$product(-1,$product(c,h))),$sum($product(a,f),$product(-1,$product(a,h)))),
inference(theory_normalization,[],[f1]) ).
tff(f1,axiom,
$lesseq($sum($product(a,f),$product(-1,$product(a,h))),$sum($sum(b,$product(c,g)),$product(-1,$product(c,h)))),
file('/export/starexec/sandbox/tmp/tmp.LVK02kElmy/Vampire---4.8_12287',conj) ).
tff(f135,plain,
spl14_20,
inference(avatar_split_clause,[],[f34,f132]) ).
tff(f132,plain,
( spl14_20
<=> ( $sum(sF10,sF12) = sF13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_20])]) ).
tff(f34,plain,
$sum(sF10,sF12) = sF13,
introduced(function_definition,[]) ).
tff(f130,plain,
spl14_19,
inference(avatar_split_clause,[],[f33,f127]) ).
tff(f127,plain,
( spl14_19
<=> ( $product(-1,sF11) = sF12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_19])]) ).
tff(f33,plain,
$product(-1,sF11) = sF12,
introduced(function_definition,[]) ).
tff(f125,plain,
spl14_18,
inference(avatar_split_clause,[],[f32,f122]) ).
tff(f122,plain,
( spl14_18
<=> ( $product(e,i) = sF11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).
tff(f32,plain,
$product(e,i) = sF11,
introduced(function_definition,[]) ).
tff(f120,plain,
spl14_17,
inference(avatar_split_clause,[],[f31,f117]) ).
tff(f117,plain,
( spl14_17
<=> ( $product(e,f) = sF10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).
tff(f31,plain,
$product(e,f) = sF10,
introduced(function_definition,[]) ).
tff(f115,plain,
spl14_16,
inference(avatar_split_clause,[],[f30,f112]) ).
tff(f112,plain,
( spl14_16
<=> ( $sum(sF6,sF8) = sF9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).
tff(f30,plain,
$sum(sF6,sF8) = sF9,
introduced(function_definition,[]) ).
tff(f110,plain,
spl14_15,
inference(avatar_split_clause,[],[f29,f107]) ).
tff(f107,plain,
( spl14_15
<=> ( $product(-1,sF7) = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
tff(f29,plain,
$product(-1,sF7) = sF8,
introduced(function_definition,[]) ).
tff(f105,plain,
spl14_14,
inference(avatar_split_clause,[],[f28,f102]) ).
tff(f102,plain,
( spl14_14
<=> ( $product(d,i) = sF7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).
tff(f28,plain,
$product(d,i) = sF7,
introduced(function_definition,[]) ).
tff(f100,plain,
spl14_13,
inference(avatar_split_clause,[],[f27,f97]) ).
tff(f97,plain,
( spl14_13
<=> ( $sum(sF4,sF5) = sF6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
tff(f27,plain,
$sum(sF4,sF5) = sF6,
introduced(function_definition,[]) ).
tff(f95,plain,
spl14_12,
inference(avatar_split_clause,[],[f26,f92]) ).
tff(f92,plain,
( spl14_12
<=> ( $product(d,h) = sF5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
tff(f26,plain,
$product(d,h) = sF5,
introduced(function_definition,[]) ).
tff(f90,plain,
spl14_11,
inference(avatar_split_clause,[],[f25,f87]) ).
tff(f25,plain,
$sum(sF1,sF3) = sF4,
introduced(function_definition,[]) ).
tff(f85,plain,
spl14_10,
inference(avatar_split_clause,[],[f24,f82]) ).
tff(f24,plain,
$product(-1,sF2) = sF3,
introduced(function_definition,[]) ).
tff(f80,plain,
spl14_9,
inference(avatar_split_clause,[],[f23,f77]) ).
tff(f23,plain,
$product(c,h) = sF2,
introduced(function_definition,[]) ).
tff(f75,plain,
spl14_8,
inference(avatar_split_clause,[],[f22,f72]) ).
tff(f22,plain,
$sum(b,sF0) = sF1,
introduced(function_definition,[]) ).
tff(f70,plain,
spl14_7,
inference(avatar_split_clause,[],[f21,f67]) ).
tff(f21,plain,
$product(c,g) = sF0,
introduced(function_definition,[]) ).
tff(f65,plain,
~ spl14_6,
inference(avatar_split_clause,[],[f19,f62]) ).
tff(f62,plain,
( spl14_6
<=> $less(d,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
tff(f19,plain,
~ $less(d,a),
inference(cnf_transformation,[],[f11]) ).
tff(f11,plain,
~ $less(d,a),
inference(theory_normalization,[],[f5]) ).
tff(f5,axiom,
$lesseq(a,d),
file('/export/starexec/sandbox/tmp/tmp.LVK02kElmy/Vampire---4.8_12287',conj_004) ).
tff(f60,plain,
~ spl14_5,
inference(avatar_split_clause,[],[f18,f57]) ).
tff(f57,plain,
( spl14_5
<=> $less(f,g) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
tff(f18,plain,
~ $less(f,g),
inference(cnf_transformation,[],[f10]) ).
tff(f10,plain,
~ $less(f,g),
inference(theory_normalization,[],[f2]) ).
tff(f2,axiom,
$lesseq(g,f),
file('/export/starexec/sandbox/tmp/tmp.LVK02kElmy/Vampire---4.8_12287',conj_001) ).
tff(f55,plain,
spl14_4,
inference(avatar_split_clause,[],[f17,f52]) ).
tff(f52,plain,
( spl14_4
<=> $less(h,g) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
tff(f17,plain,
$less(h,g),
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
$less(h,g),
file('/export/starexec/sandbox/tmp/tmp.LVK02kElmy/Vampire---4.8_12287',conj_002) ).
tff(f50,plain,
spl14_3,
inference(avatar_split_clause,[],[f16,f47]) ).
tff(f47,plain,
( spl14_3
<=> $less(i,h) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
tff(f16,plain,
$less(i,h),
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
$less(i,h),
file('/export/starexec/sandbox/tmp/tmp.LVK02kElmy/Vampire---4.8_12287',conj_003) ).
tff(f45,plain,
spl14_2,
inference(avatar_split_clause,[],[f15,f42]) ).
tff(f42,plain,
( spl14_2
<=> $less(e,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
tff(f15,plain,
$less(e,a),
inference(cnf_transformation,[],[f6]) ).
tff(f6,axiom,
$less(e,a),
file('/export/starexec/sandbox/tmp/tmp.LVK02kElmy/Vampire---4.8_12287',conj_005) ).
tff(f40,plain,
spl14_1,
inference(avatar_split_clause,[],[f35,f37]) ).
tff(f37,plain,
( spl14_1
<=> $less(sF9,sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
tff(f35,plain,
$less(sF9,sF13),
inference(definition_folding,[],[f14,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
tff(f14,plain,
$less($sum($sum($sum($sum(b,$product(c,g)),$product(-1,$product(c,h))),$product(d,h)),$product(-1,$product(d,i))),$sum($product(e,f),$product(-1,$product(e,i)))),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
$less($sum($sum($sum($sum(b,$product(c,g)),$product(-1,$product(c,h))),$product(d,h)),$product(-1,$product(d,i))),$sum($product(e,f),$product(-1,$product(e,i)))),
inference(flattening,[],[f9]) ).
tff(f9,plain,
~ ~ $less($sum($sum($sum($sum(b,$product(c,g)),$product(-1,$product(c,h))),$product(d,h)),$product(-1,$product(d,i))),$sum($product(e,f),$product(-1,$product(e,i)))),
inference(theory_normalization,[],[f8]) ).
tff(f8,negated_conjecture,
~ $lesseq($sum($product(e,f),$product(-1,$product(e,i))),$sum($sum($sum($sum(b,$product(c,g)),$product(-1,$product(c,h))),$product(d,h)),$product(-1,$product(d,i)))),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
$lesseq($sum($product(e,f),$product(-1,$product(e,i))),$sum($sum($sum($sum(b,$product(c,g)),$product(-1,$product(c,h))),$product(d,h)),$product(-1,$product(d,i)))),
file('/export/starexec/sandbox/tmp/tmp.LVK02kElmy/Vampire---4.8_12287',conj_006) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ARI683_1 : TPTP v8.1.2. Released v6.3.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n020.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 : Tue Aug 29 18:26:13 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TF0_THM_NEQ_ARI problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.LVK02kElmy/Vampire---4.8_12287
% 0.15/0.36 % (12429)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (12434)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on Vampire---4 for (472ds/0Mi)
% 0.22/0.42 % (12433)dis-10_20_canc=force:fsd=off:gs=on:gsem=off:nm=0:sas=z3:sac=on:tha=off:thi=strong:tgt=ground_476 on Vampire---4 for (476ds/0Mi)
% 0.22/0.42 % (12431)lrs+2_32_add=large:amm=off:bd=off:bs=unit_only:drc=off:flr=on:fsd=off:fde=none:nm=0:nwc=1.1:sos=theory:sp=reverse_arity:tgt=ground:stl=180_1034 on Vampire---4 for (1034ds/0Mi)
% 0.22/0.42 % (12436)ott+10_1024_av=off:bd=preordered:br=off:ep=RSTC:fsr=off:fde=none:nm=2:urr=on_318 on Vampire---4 for (318ds/0Mi)
% 0.22/0.42 % (12435)lrs+1010_2:1_amm=off:bs=on:bsr=on:canc=force:fsd=off:fsr=off:gs=on:gsaa=full_model:gsem=on:nm=0:nwc=1.3:sas=z3:sac=on:tha=off:thi=overlap:tgt=ground:uwa=ground:stl=60_408 on Vampire---4 for (408ds/0Mi)
% 0.22/0.42 % (12437)lrs-1010_3_av=off:br=off:drc=off:er=known:fsd=off:fde=unused:nm=4:nwc=3.0:sp=scramble:urr=on:stl=180_280 on Vampire---4 for (280ds/0Mi)
% 0.22/0.42 % (12432)dis-1010_2:3_canc=force:fsd=off:fde=unused:gs=on:gsem=on:nm=0:nwc=1.3:sas=z3:tha=off:thf=on:uwa=ground_572 on Vampire---4 for (572ds/0Mi)
% 0.22/0.58 % (12433)First to succeed.
% 0.22/0.58 % (12433)Refutation found. Thanks to Tanya!
% 0.22/0.58 % SZS status Theorem for Vampire---4
% 0.22/0.58 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.58 % (12433)------------------------------
% 0.22/0.58 % (12433)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.58 % (12433)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.58 % (12433)Termination reason: Refutation
% 0.22/0.58
% 0.22/0.58 % (12433)Memory used [KB]: 5500
% 0.22/0.58 % (12433)Time elapsed: 0.154 s
% 0.22/0.58 % (12433)------------------------------
% 0.22/0.58 % (12433)------------------------------
% 0.22/0.58 % (12429)Success in time 0.214 s
% 0.22/0.58 12432 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.LVK02kElmy/Vampire---4.8_12287
% 0.22/0.58 % (12432)------------------------------
% 0.22/0.58 % (12432)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.58 12434 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.LVK02kElmy/Vampire---4.8_12287
% 0.22/0.58 % (12434)------------------------------
% 0.22/0.58 % (12434)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.58 12435 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.LVK02kElmy/Vampire---4.8_12287
% 0.22/0.58 % (12435)------------------------------
% 0.22/0.58 % (12435)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.58 % (12432)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.58 % (12434)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.58 % (12435)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.58 % (12432)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
% 0.22/0.58 % (12434)Termination reason: Unknown
% 0.22/0.58 % (12435)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
% 0.22/0.58
% 0.22/0.58
% 0.22/0.58 % (12434)Termination phase: Saturation
% 0.22/0.58
% 0.22/0.58 % (12432)Memory used [KB]: 5756
% 0.22/0.58 % (12435)Memory used [KB]: 5884
% 0.22/0.58 % (12434)Memory used [KB]: 1023
% 0.22/0.58 % (12432)Time elapsed: 0.158 s
% 0.22/0.58 % (12435)Time elapsed: 0.158 s
% 0.22/0.58 % (12434)Time elapsed: 0.166 s
% 0.22/0.58 % (12432)------------------------------
% 0.22/0.58 % (12432)------------------------------
% 0.22/0.58 % (12435)------------------------------
% 0.22/0.58 % (12435)------------------------------
% 0.22/0.58 % (12434)------------------------------
% 0.22/0.58 % (12434)------------------------------
% 0.22/0.58 % Vampire---4.8 exiting
%------------------------------------------------------------------------------