TSTP Solution File: MSC003-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MSC003-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n031.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 : Thu Aug 31 09:27:06 EDT 2023
% Result : Unsatisfiable 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 21
% Syntax : Number of formulae : 53 ( 11 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 143 ( 65 ~; 65 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 14 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-5 aty)
% Number of variables : 44 (; 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f74,plain,
$false,
inference(avatar_sat_refutation,[],[f13,f18,f22,f26,f30,f34,f38,f42,f47,f57,f59,f65,f71,f73]) ).
fof(f73,plain,
( ~ spl0_10
| ~ spl0_4
| spl0_13 ),
inference(avatar_split_clause,[],[f72,f68,f24,f50]) ).
fof(f50,plain,
( spl0_10
<=> in(john,human) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f24,plain,
( spl0_4
<=> ! [X5] :
( ~ in(X5,human)
| has_parts(X5,n2,arm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f68,plain,
( spl0_13
<=> has_parts(john,n2,arm) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f72,plain,
( ~ in(john,human)
| ~ spl0_4
| spl0_13 ),
inference(resolution,[],[f70,f25]) ).
fof(f25,plain,
( ! [X5] :
( has_parts(X5,n2,arm)
| ~ in(X5,human) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f70,plain,
( ~ has_parts(john,n2,arm)
| spl0_13 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,plain,
( ~ spl0_13
| spl0_1
| ~ spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f66,f62,f36,f10,f68]) ).
fof(f10,plain,
( spl0_1
<=> has_parts(john,times(n2,n1),hand) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f36,plain,
( spl0_7
<=> ! [X4,X0,X3,X2,X1] :
( ~ has_parts(X0,X3,X1)
| has_parts(X0,times(X3,X4),X2)
| in(object_in(X0,X1,X2,X3,X4),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f62,plain,
( spl0_12
<=> in(object_in(john,arm,hand,n2,n1),arm) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f66,plain,
( has_parts(john,times(n2,n1),hand)
| ~ has_parts(john,n2,arm)
| ~ spl0_7
| spl0_12 ),
inference(resolution,[],[f64,f37]) ).
fof(f37,plain,
( ! [X2,X3,X0,X1,X4] :
( in(object_in(X0,X1,X2,X3,X4),X1)
| has_parts(X0,times(X3,X4),X2)
| ~ has_parts(X0,X3,X1) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f64,plain,
( ~ in(object_in(john,arm,hand,n2,n1),arm)
| spl0_12 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f65,plain,
( ~ spl0_12
| ~ spl0_5
| spl0_11 ),
inference(avatar_split_clause,[],[f60,f54,f28,f62]) ).
fof(f28,plain,
( spl0_5
<=> ! [X5] :
( ~ in(X5,arm)
| has_parts(X5,n1,hand) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f54,plain,
( spl0_11
<=> has_parts(object_in(john,arm,hand,n2,n1),n1,hand) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f60,plain,
( ~ in(object_in(john,arm,hand,n2,n1),arm)
| ~ spl0_5
| spl0_11 ),
inference(resolution,[],[f56,f29]) ).
fof(f29,plain,
( ! [X5] :
( has_parts(X5,n1,hand)
| ~ in(X5,arm) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f56,plain,
( ~ has_parts(object_in(john,arm,hand,n2,n1),n1,hand)
| spl0_11 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f59,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f58,f50,f20,f15]) ).
fof(f15,plain,
( spl0_2
<=> in(john,boy) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f20,plain,
( spl0_3
<=> ! [X5] :
( ~ in(X5,boy)
| in(X5,human) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f58,plain,
( ~ in(john,boy)
| ~ spl0_3
| spl0_10 ),
inference(resolution,[],[f52,f21]) ).
fof(f21,plain,
( ! [X5] :
( in(X5,human)
| ~ in(X5,boy) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f52,plain,
( ~ in(john,human)
| spl0_10 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f57,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f48,f45,f24,f54,f50]) ).
fof(f45,plain,
( spl0_9
<=> ! [X0] :
( ~ has_parts(john,n2,X0)
| ~ has_parts(object_in(john,X0,hand,n2,n1),n1,hand) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f48,plain,
( ~ has_parts(object_in(john,arm,hand,n2,n1),n1,hand)
| ~ in(john,human)
| ~ spl0_4
| ~ spl0_9 ),
inference(resolution,[],[f46,f25]) ).
fof(f46,plain,
( ! [X0] :
( ~ has_parts(john,n2,X0)
| ~ has_parts(object_in(john,X0,hand,n2,n1),n1,hand) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f47,plain,
( spl0_9
| spl0_1
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f43,f40,f10,f45]) ).
fof(f40,plain,
( spl0_8
<=> ! [X4,X0,X3,X2,X1] :
( ~ has_parts(X0,X3,X1)
| has_parts(X0,times(X3,X4),X2)
| ~ has_parts(object_in(X0,X1,X2,X3,X4),X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f43,plain,
( ! [X0] :
( ~ has_parts(john,n2,X0)
| ~ has_parts(object_in(john,X0,hand,n2,n1),n1,hand) )
| spl0_1
| ~ spl0_8 ),
inference(resolution,[],[f41,f12]) ).
fof(f12,plain,
( ~ has_parts(john,times(n2,n1),hand)
| spl0_1 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f41,plain,
( ! [X2,X3,X0,X1,X4] :
( has_parts(X0,times(X3,X4),X2)
| ~ has_parts(X0,X3,X1)
| ~ has_parts(object_in(X0,X1,X2,X3,X4),X4,X2) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f42,plain,
spl0_8,
inference(avatar_split_clause,[],[f2,f40]) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4] :
( ~ has_parts(X0,X3,X1)
| has_parts(X0,times(X3,X4),X2)
| ~ has_parts(object_in(X0,X1,X2,X3,X4),X4,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.0Xf9341KLu/Vampire---4.8_21473',part_inheritance) ).
fof(f38,plain,
spl0_7,
inference(avatar_split_clause,[],[f1,f36]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4] :
( ~ has_parts(X0,X3,X1)
| has_parts(X0,times(X3,X4),X2)
| in(object_in(X0,X1,X2,X3,X4),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.0Xf9341KLu/Vampire---4.8_21473',not_part_inheritance) ).
fof(f34,plain,
spl0_6,
inference(avatar_split_clause,[],[f5,f32]) ).
fof(f32,plain,
( spl0_6
<=> ! [X5] :
( ~ in(X5,hand)
| has_parts(X5,n5,fingers) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f5,axiom,
! [X5] :
( ~ in(X5,hand)
| has_parts(X5,n5,fingers) ),
file('/export/starexec/sandbox2/tmp/tmp.0Xf9341KLu/Vampire---4.8_21473',hands_have_5_fingers) ).
fof(f30,plain,
spl0_5,
inference(avatar_split_clause,[],[f7,f28]) ).
fof(f7,axiom,
! [X5] :
( ~ in(X5,arm)
| has_parts(X5,n1,hand) ),
file('/export/starexec/sandbox2/tmp/tmp.0Xf9341KLu/Vampire---4.8_21473',arms_have_one_hand) ).
fof(f26,plain,
spl0_4,
inference(avatar_split_clause,[],[f6,f24]) ).
fof(f6,axiom,
! [X5] :
( ~ in(X5,human)
| has_parts(X5,n2,arm) ),
file('/export/starexec/sandbox2/tmp/tmp.0Xf9341KLu/Vampire---4.8_21473',humans_have_two_arms) ).
fof(f22,plain,
spl0_3,
inference(avatar_split_clause,[],[f4,f20]) ).
fof(f4,axiom,
! [X5] :
( ~ in(X5,boy)
| in(X5,human) ),
file('/export/starexec/sandbox2/tmp/tmp.0Xf9341KLu/Vampire---4.8_21473',in_boy_in_human) ).
fof(f18,plain,
spl0_2,
inference(avatar_split_clause,[],[f3,f15]) ).
fof(f3,axiom,
in(john,boy),
file('/export/starexec/sandbox2/tmp/tmp.0Xf9341KLu/Vampire---4.8_21473',john_is_a_boy) ).
fof(f13,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f8,f10]) ).
fof(f8,axiom,
~ has_parts(john,times(n2,n1),hand),
file('/export/starexec/sandbox2/tmp/tmp.0Xf9341KLu/Vampire---4.8_21473',prove_john_has_2_hands) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MSC003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 : Thu Aug 24 14:03:21 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.0Xf9341KLu/Vampire---4.8_21473
% 0.14/0.35 % (21710)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.39 % (21711)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.20/0.39 % (21711)First to succeed.
% 0.20/0.39 % (21717)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.20/0.39 % (21717)Also succeeded, but the first one will report.
% 0.20/0.39 % (21711)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Unsatisfiable for Vampire---4
% 0.20/0.39 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.39 % (21711)------------------------------
% 0.20/0.39 % (21711)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.39 % (21711)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.39 % (21711)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (21711)Memory used [KB]: 5373
% 0.20/0.39 % (21711)Time elapsed: 0.003 s
% 0.20/0.39 % (21711)------------------------------
% 0.20/0.39 % (21711)------------------------------
% 0.20/0.39 % (21710)Success in time 0.036 s
% 0.20/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------