TSTP Solution File: ARI655_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI655_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 : n032.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 17:54:29 EDT 2023
% Result : Theorem 0.12s 0.38s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 27
% Syntax : Number of formulae : 49 ( 26 unt; 9 typ; 0 def)
% Number of atoms : 58 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 17 ~; 8 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 58 ( 17 atm; 31 fun; 10 num; 0 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 10 usr; 11 prp; 0-2 aty)
% Number of functors : 14 ( 9 usr; 10 con; 0-2 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(func_def_1,type,
b: $int ).
tff(func_def_2,type,
c: $int ).
tff(func_def_3,type,
d: $int ).
tff(func_def_9,type,
sF0: $int ).
tff(func_def_10,type,
sF1: $int ).
tff(func_def_11,type,
sF2: $int ).
tff(func_def_12,type,
sF3: $int ).
tff(func_def_13,type,
sF4: $int ).
tff(f72,plain,
$false,
inference(avatar_smt_refutation,[],[f22,f27,f32,f39,f44,f55,f60,f65,f71]) ).
tff(f71,plain,
spl5_10,
inference(avatar_split_clause,[],[f16,f68]) ).
tff(f68,plain,
( spl5_10
<=> ( $product(sF1,sF3) = sF4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
tff(f16,plain,
$product(sF1,sF3) = sF4,
introduced(function_definition,[]) ).
tff(f65,plain,
spl5_9,
inference(avatar_split_clause,[],[f15,f62]) ).
tff(f62,plain,
( spl5_9
<=> ( $sum(c,sF2) = sF3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
tff(f15,plain,
$sum(c,sF2) = sF3,
introduced(function_definition,[]) ).
tff(f60,plain,
spl5_8,
inference(avatar_split_clause,[],[f13,f57]) ).
tff(f57,plain,
( spl5_8
<=> ( $sum(a,sF0) = sF1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
tff(f13,plain,
$sum(a,sF0) = sF1,
introduced(function_definition,[]) ).
tff(f55,plain,
( ~ spl5_6
| ~ spl5_7
| ~ spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f33,f24,f19,f52,f48]) ).
tff(f48,plain,
( spl5_6
<=> ( b = 0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
tff(f52,plain,
( spl5_7
<=> ( a = sF4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
tff(f19,plain,
( spl5_1
<=> $less(sF4,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
tff(f24,plain,
( spl5_2
<=> $less(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
tff(f33,plain,
( ( a != sF4 )
| ( b != 0 )
| ~ spl5_1
| spl5_2 ),
inference(constrained_resolution,[],[f26,f21]) ).
tff(f21,plain,
( $less(sF4,0)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f19]) ).
tff(f26,plain,
( ~ $less(a,b)
| spl5_2 ),
inference(avatar_component_clause,[],[f24]) ).
tff(f44,plain,
spl5_5,
inference(avatar_split_clause,[],[f14,f41]) ).
tff(f41,plain,
( spl5_5
<=> ( $uminus(d) = sF2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
tff(f14,plain,
$uminus(d) = sF2,
introduced(function_definition,[]) ).
tff(f39,plain,
spl5_4,
inference(avatar_split_clause,[],[f12,f36]) ).
tff(f36,plain,
( spl5_4
<=> ( $uminus(b) = sF0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
tff(f12,plain,
$uminus(b) = sF0,
introduced(function_definition,[]) ).
tff(f32,plain,
~ spl5_3,
inference(avatar_split_clause,[],[f11,f29]) ).
tff(f29,plain,
( spl5_3
<=> $less(c,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
tff(f11,plain,
~ $less(c,d),
inference(cnf_transformation,[],[f7]) ).
tff(f7,plain,
~ $less(c,d),
inference(theory_normalization,[],[f2]) ).
tff(f2,axiom,
$lesseq(d,c),
file('/export/starexec/sandbox/tmp/tmp.tpCgaAHPyx/Vampire---4.8_13588',conj_001) ).
tff(f27,plain,
~ spl5_2,
inference(avatar_split_clause,[],[f10,f24]) ).
tff(f10,plain,
~ $less(a,b),
inference(cnf_transformation,[],[f6]) ).
tff(f6,plain,
~ $less(a,b),
inference(theory_normalization,[],[f1]) ).
tff(f1,axiom,
$lesseq(b,a),
file('/export/starexec/sandbox/tmp/tmp.tpCgaAHPyx/Vampire---4.8_13588',conj) ).
tff(f22,plain,
spl5_1,
inference(avatar_split_clause,[],[f17,f19]) ).
tff(f17,plain,
$less(sF4,0),
inference(definition_folding,[],[f9,f16,f15,f14,f13,f12]) ).
tff(f9,plain,
$less($product($sum(a,$uminus(b)),$sum(c,$uminus(d))),0),
inference(cnf_transformation,[],[f8]) ).
tff(f8,plain,
$less($product($sum(a,$uminus(b)),$sum(c,$uminus(d))),0),
inference(flattening,[],[f5]) ).
tff(f5,plain,
~ ~ $less($product($sum(a,$uminus(b)),$sum(c,$uminus(d))),0),
inference(theory_normalization,[],[f4]) ).
tff(f4,negated_conjecture,
~ $lesseq(0,$product($difference(a,b),$difference(c,d))),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
$lesseq(0,$product($difference(a,b),$difference(c,d))),
file('/export/starexec/sandbox/tmp/tmp.tpCgaAHPyx/Vampire---4.8_13588',conj_002) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : ARI655_1 : TPTP v8.1.2. Released v6.3.0.
% 0.08/0.09 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Tue Aug 29 18:02:01 EDT 2023
% 0.08/0.28 % CPUTime :
% 0.08/0.28 This is a TF0_THM_NEQ_ARI problem
% 0.08/0.28 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.tpCgaAHPyx/Vampire---4.8_13588
% 0.08/0.28 % (13815)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.32 % (13822)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)
% 0.12/0.32 % (13819)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on Vampire---4 for (472ds/0Mi)
% 0.12/0.32 % (13820)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)
% 0.12/0.32 % (13821)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)
% 0.12/0.33 % (13818)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)
% 0.12/0.33 % (13816)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)
% 0.12/0.33 % (13817)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)
% 0.12/0.38 % (13820)First to succeed.
% 0.12/0.38 % (13817)Also succeeded, but the first one will report.
% 0.12/0.38 % (13820)Refutation found. Thanks to Tanya!
% 0.12/0.38 % SZS status Theorem for Vampire---4
% 0.12/0.38 % SZS output start Proof for Vampire---4
% See solution above
% 0.12/0.38 % (13820)------------------------------
% 0.12/0.38 % (13820)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.12/0.38 % (13820)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.12/0.38 % (13820)Termination reason: Refutation
% 0.12/0.38
% 0.12/0.38 % (13820)Memory used [KB]: 5500
% 0.12/0.38 % (13820)Time elapsed: 0.060 s
% 0.12/0.38 % (13820)------------------------------
% 0.12/0.38 % (13820)------------------------------
% 0.12/0.38 % (13815)Success in time 0.096 s
% 0.12/0.38 13818 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.tpCgaAHPyx/Vampire---4.8_13588
% 0.12/0.38 % (13818)------------------------------
% 0.12/0.38 % (13818)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.12/0.38 13819 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.tpCgaAHPyx/Vampire---4.8_13588
% 0.12/0.38 % (13819)------------------------------
% 0.12/0.38 % (13819)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.12/0.38 % (13818)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.12/0.38 % (13819)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.12/0.38 % (13818)Termination reason: Unknown
% 0.12/0.38 % (13819)Termination reason: Unknown
% 0.12/0.38 % (13819)Termination phase: Saturation
% 0.12/0.38 % (13818)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 % (13818)Memory used [KB]: 5500
% 0.12/0.38 % (13819)Memory used [KB]: 895
% 0.12/0.38 % (13818)Time elapsed: 0.052 s
% 0.12/0.38 % (13819)Time elapsed: 0.064 s
% 0.12/0.38 % (13819)------------------------------
% 0.12/0.38 % (13819)------------------------------
% 0.12/0.38 % (13818)------------------------------
% 0.12/0.38 % (13818)------------------------------
% 0.12/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------