TSTP Solution File: GRP004-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP004-1 : 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 : n025.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 01:20:17 EDT 2023
% Result : Unsatisfiable 0.20s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 22 ~; 16 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 49 (; 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78,plain,
$false,
inference(unit_resulting_resolution,[],[f1,f11,f63,f7]) ).
fof(f7,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP0(X5,X0,X3,X1)
| product(X0,X4,X5)
| ~ product(X1,X3,X4) ),
inference(general_splitting,[],[f3,f6_D]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X5] :
( ~ product(X2,X3,X5)
| ~ product(X0,X1,X2)
| sP0(X5,X0,X3,X1) ),
inference(cnf_transformation,[],[f6_D]) ).
fof(f6_D,plain,
! [X1,X3,X0,X5] :
( ! [X2] :
( ~ product(X2,X3,X5)
| ~ product(X0,X1,X2) )
<=> ~ sP0(X5,X0,X3,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X2,X3,X5)
| ~ product(X1,X3,X4)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.hiZqwAT7s6/Vampire---4.8_32642',associativity1) ).
fof(f63,plain,
! [X0] : ~ product(inverse(X0),identity,a),
inference(unit_resulting_resolution,[],[f5,f32,f8]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X5] :
( ~ product(X0,X1,X2)
| product(X2,X3,X5)
| sP1(X3,X0,X5,X1) ),
inference(cnf_transformation,[],[f8_D]) ).
fof(f8_D,plain,
! [X1,X5,X0,X3] :
( ! [X2] :
( ~ product(X0,X1,X2)
| product(X2,X3,X5) )
<=> ~ sP1(X3,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f32,plain,
! [X0] : ~ sP1(X0,inverse(X0),identity,identity),
inference(unit_resulting_resolution,[],[f1,f2,f9]) ).
fof(f9,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP1(X3,X0,X5,X1)
| ~ product(X1,X3,X4)
| ~ product(X0,X4,X5) ),
inference(general_splitting,[],[f4,f8_D]) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X0,X4,X5)
| ~ product(X1,X3,X4)
| product(X2,X3,X5) ),
file('/export/starexec/sandbox/tmp/tmp.hiZqwAT7s6/Vampire---4.8_32642',associativity2) ).
fof(f2,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/tmp/tmp.hiZqwAT7s6/Vampire---4.8_32642',left_identity) ).
fof(f5,axiom,
! [X0] : ~ product(a,X0,identity),
file('/export/starexec/sandbox/tmp/tmp.hiZqwAT7s6/Vampire---4.8_32642',prove_there_is_a_right_inverse) ).
fof(f11,plain,
! [X0,X1] : sP0(X0,inverse(X1),X0,X1),
inference(unit_resulting_resolution,[],[f1,f2,f6]) ).
fof(f1,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/tmp/tmp.hiZqwAT7s6/Vampire---4.8_32642',left_inverse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.15/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.34 % Computer : n025.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % 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 : Mon Aug 28 20:55:09 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.15/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.hiZqwAT7s6/Vampire---4.8_32642
% 0.15/0.35 % (394)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (402)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)
% 0.20/0.41 % (403)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)
% 0.20/0.41 % (401)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)
% 0.20/0.41 % (397)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)
% 0.20/0.41 % (404)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)
% 0.20/0.41 % (400)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)
% 0.20/0.41 % (398)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)
% 0.20/0.41 % (403)First to succeed.
% 0.20/0.41 % (400)Also succeeded, but the first one will report.
% 0.20/0.41 % (403)Refutation found. Thanks to Tanya!
% 0.20/0.41 % SZS status Unsatisfiable for Vampire---4
% 0.20/0.41 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.41 % (403)------------------------------
% 0.20/0.41 % (403)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.41 % (403)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.41 % (403)Termination reason: Refutation
% 0.20/0.41
% 0.20/0.41 % (403)Memory used [KB]: 5373
% 0.20/0.41 % (403)Time elapsed: 0.004 s
% 0.20/0.41 % (403)------------------------------
% 0.20/0.41 % (403)------------------------------
% 0.20/0.41 % (394)Success in time 0.063 s
% 0.20/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------