TSTP Solution File: ARI640_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI640_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 : n029.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 17:54:26 EDT 2023
% Result : Theorem 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 22 ( 16 unt; 2 typ; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 0 ~; 0 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 34 ( 15 atm; 8 fun; 11 num; 0 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 2 usr; 4 con; 0-2 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
x: $real ).
tff(func_def_1,type,
y: $real ).
tff(f35,plain,
$false,
inference(avatar_smt_refutation,[],[f19,f24,f29,f34]) ).
tff(f34,plain,
spl0_4,
inference(avatar_split_clause,[],[f14,f31]) ).
tff(f31,plain,
( spl0_4
<=> $less($sum(x,y),$product(x,y)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f14,plain,
$less($sum(x,y),$product(x,y)),
inference(cnf_transformation,[],[f9]) ).
tff(f9,plain,
$less($sum(x,y),$product(x,y)),
inference(theory_normalization,[],[f4]) ).
tff(f4,axiom,
$greater($product(x,y),$sum(x,y)),
file('/export/starexec/sandbox/tmp/tmp.rQOzhnC0iQ/Vampire---4.8_2924',hypothesis_03) ).
tff(f29,plain,
spl0_3,
inference(avatar_split_clause,[],[f13,f26]) ).
tff(f26,plain,
( spl0_3
<=> $less(0.0,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f13,plain,
$less(0.0,y),
inference(cnf_transformation,[],[f8]) ).
tff(f8,plain,
$less(0.0,y),
inference(theory_normalization,[],[f2]) ).
tff(f2,axiom,
$greater(y,0.0),
file('/export/starexec/sandbox/tmp/tmp.rQOzhnC0iQ/Vampire---4.8_2924',hypothesis_01) ).
tff(f24,plain,
spl0_2,
inference(avatar_split_clause,[],[f12,f21]) ).
tff(f21,plain,
( spl0_2
<=> $less(0.0,x) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f12,plain,
$less(0.0,x),
inference(cnf_transformation,[],[f7]) ).
tff(f7,plain,
$less(0.0,x),
inference(theory_normalization,[],[f1]) ).
tff(f1,axiom,
$greater(x,0.0),
file('/export/starexec/sandbox/tmp/tmp.rQOzhnC0iQ/Vampire---4.8_2924',hypothesis) ).
tff(f19,plain,
spl0_1,
inference(avatar_split_clause,[],[f11,f16]) ).
tff(f16,plain,
( spl0_1
<=> $less(y,1.0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f11,plain,
$less(y,1.0),
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
$less(y,1.0),
file('/export/starexec/sandbox/tmp/tmp.rQOzhnC0iQ/Vampire---4.8_2924',hypothesis_02) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ARI640_1 : TPTP v8.1.2. Released v6.3.0.
% 0.11/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n029.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 19:10:12 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.rQOzhnC0iQ/Vampire---4.8_2924
% 0.15/0.36 % (3210)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40 % (3216)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)
% 0.21/0.42 % (3217)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on Vampire---4 for (472ds/0Mi)
% 0.21/0.42 % (3215)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)
% 0.21/0.42 % (3218)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)
% 0.21/0.42 % (3219)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)
% 0.21/0.42 % (3220)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)
% 0.21/0.42 % (3214)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)
% 0.21/0.46 % (3216)First to succeed.
% 0.21/0.46 % (3216)Refutation found. Thanks to Tanya!
% 0.21/0.46 % SZS status Theorem for Vampire---4
% 0.21/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.46 % (3216)------------------------------
% 0.21/0.46 % (3216)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.46 % (3216)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.46 % (3216)Termination reason: Refutation
% 0.21/0.46
% 0.21/0.46 % (3216)Memory used [KB]: 5500
% 0.21/0.46 % (3216)Time elapsed: 0.062 s
% 0.21/0.46 % (3216)------------------------------
% 0.21/0.46 % (3216)------------------------------
% 0.21/0.46 % (3210)Success in time 0.099 s
% 0.21/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------