TSTP Solution File: FLD025-5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD025-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 22:37:37 EDT 2023
% Result : Unsatisfiable 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 61 ( 30 ~; 29 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 31 (; 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1604,plain,
$false,
inference(avatar_sat_refutation,[],[f271,f273,f1589]) ).
fof(f1589,plain,
~ spl0_28,
inference(avatar_contradiction_clause,[],[f1580]) ).
fof(f1580,plain,
( $false
| ~ spl0_28 ),
inference(resolution,[],[f1438,f37]) ).
fof(f37,axiom,
~ product(multiplicative_identity,u,v),
file('/export/starexec/sandbox/tmp/tmp.vTawnKczFu/Vampire---4.8_28424',not_product_11) ).
fof(f1438,plain,
( product(multiplicative_identity,u,v)
| ~ spl0_28 ),
inference(resolution,[],[f1426,f284]) ).
fof(f284,plain,
! [X1] :
( ~ product(b,c,X1)
| product(multiplicative_identity,X1,v) ),
inference(forward_literal_rewriting,[],[f275,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox/tmp/tmp.vTawnKczFu/Vampire---4.8_28424',commutativity_multiplication) ).
fof(f275,plain,
! [X1] :
( ~ product(c,b,X1)
| product(multiplicative_identity,X1,v) ),
inference(resolution,[],[f180,f34]) ).
fof(f34,axiom,
product(multiplicative_identity,c,d),
file('/export/starexec/sandbox/tmp/tmp.vTawnKczFu/Vampire---4.8_28424',product_8) ).
fof(f180,plain,
! [X31,X29,X30] :
( ~ product(X31,X29,d)
| ~ product(X29,b,X30)
| product(X31,X30,v) ),
inference(resolution,[],[f6,f36]) ).
fof(f36,axiom,
product(d,b,v),
file('/export/starexec/sandbox/tmp/tmp.vTawnKczFu/Vampire---4.8_28424',product_10) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.vTawnKczFu/Vampire---4.8_28424',associativity_multiplication_1) ).
fof(f1426,plain,
( product(b,c,u)
| ~ spl0_28 ),
inference(resolution,[],[f290,f1335]) ).
fof(f1335,plain,
( product(multiplicative_identity,u,u)
| ~ spl0_28 ),
inference(resolution,[],[f270,f35]) ).
fof(f35,axiom,
product(a,c,u),
file('/export/starexec/sandbox/tmp/tmp.vTawnKczFu/Vampire---4.8_28424',product_9) ).
fof(f270,plain,
( ! [X1] :
( ~ product(a,c,X1)
| product(multiplicative_identity,X1,u) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl0_28
<=> ! [X1] :
( ~ product(a,c,X1)
| product(multiplicative_identity,X1,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f290,plain,
! [X0] :
( ~ product(multiplicative_identity,u,X0)
| product(b,c,X0) ),
inference(resolution,[],[f192,f35]) ).
fof(f192,plain,
! [X14,X15,X13] :
( ~ product(a,X13,X14)
| ~ product(multiplicative_identity,X14,X15)
| product(b,X13,X15) ),
inference(resolution,[],[f7,f33]) ).
fof(f33,axiom,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/tmp/tmp.vTawnKczFu/Vampire---4.8_28424',product_7) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| ~ product(X0,X1,X2)
| product(X4,X5,X2) ),
file('/export/starexec/sandbox/tmp/tmp.vTawnKczFu/Vampire---4.8_28424',associativity_multiplication_2) ).
fof(f273,plain,
spl0_26,
inference(avatar_contradiction_clause,[],[f272]) ).
fof(f272,plain,
( $false
| spl0_26 ),
inference(resolution,[],[f263,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.vTawnKczFu/Vampire---4.8_28424',a_is_defined) ).
fof(f263,plain,
( ~ defined(a)
| spl0_26 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f262,plain,
( spl0_26
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f271,plain,
( ~ spl0_26
| spl0_28 ),
inference(avatar_split_clause,[],[f260,f269,f262]) ).
fof(f260,plain,
! [X1] :
( ~ product(a,c,X1)
| product(multiplicative_identity,X1,u)
| ~ defined(a) ),
inference(resolution,[],[f178,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.vTawnKczFu/Vampire---4.8_28424',existence_of_identity_multiplication) ).
fof(f178,plain,
! [X24,X25,X23] :
( ~ product(X25,X23,a)
| ~ product(X23,c,X24)
| product(X25,X24,u) ),
inference(resolution,[],[f6,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD025-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n029.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 23:36:26 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.vTawnKczFu/Vampire---4.8_28424
% 0.15/0.36 % (28539)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (28541)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.21/0.42 % (28544)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.42 % (28542)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.21/0.42 % (28540)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)
% 0.21/0.42 % (28545)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.21/0.42 % (28543)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.21/0.42 % (28546)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)
% 0.21/0.46 % (28542)First to succeed.
% 0.21/0.46 % (28542)Refutation found. Thanks to Tanya!
% 0.21/0.46 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.46 % (28542)------------------------------
% 0.21/0.46 % (28542)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.46 % (28542)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.46 % (28542)Termination reason: Refutation
% 0.21/0.46
% 0.21/0.46 % (28542)Memory used [KB]: 6652
% 0.21/0.46 % (28542)Time elapsed: 0.041 s
% 0.21/0.46 % (28542)------------------------------
% 0.21/0.46 % (28542)------------------------------
% 0.21/0.46 % (28539)Success in time 0.099 s
% 0.21/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------