TSTP Solution File: MGT049+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT049+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n008.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 09:18:05 EDT 2023
% Result : Theorem 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 5 unt; 0 def)
% Number of atoms : 57 ( 24 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 53 ( 17 ~; 8 |; 16 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 48 (; 39 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,plain,
$false,
inference(subsumption_resolution,[],[f66,f61]) ).
fof(f61,plain,
! [X0,X1] : position(sK0,X0) = position(sK0,X1),
inference(resolution,[],[f35,f25]) ).
fof(f25,plain,
organization(sK0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
( position(sK0,sK2) != position(sK0,sK1)
& greater(age(sK0,sK2),age(sK0,sK1))
& organization(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f16,f23]) ).
fof(f23,plain,
( ? [X0,X1,X2] :
( position(X0,X2) != position(X0,X1)
& greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> ( position(sK0,sK2) != position(sK0,sK1)
& greater(age(sK0,sK2),age(sK0,sK1))
& organization(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1,X2] :
( position(X0,X2) != position(X0,X1)
& greater(age(X0,X2),age(X0,X1))
& organization(X0) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
? [X0,X1,X2] :
( position(X0,X2) != position(X0,X1)
& greater(age(X0,X2),age(X0,X1))
& organization(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
~ ! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> position(X0,X2) = position(X0,X1) ),
inference(rectify,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0,X3,X4] :
( ( greater(age(X0,X4),age(X0,X3))
& organization(X0) )
=> position(X0,X4) = position(X0,X3) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0,X3,X4] :
( ( greater(age(X0,X4),age(X0,X3))
& organization(X0) )
=> position(X0,X4) = position(X0,X3) ),
file('/export/starexec/sandbox/tmp/tmp.frjNq9uw3O/Vampire---4.8_11984',lemma_6) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| position(X0,X2) = position(X0,X1) ),
inference(subsumption_resolution,[],[f33,f31]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X2) = external_ties(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( external_ties(X0,X2) = external_ties(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1,X2] :
( organization(X0)
=> external_ties(X0,X2) = external_ties(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X3,X4] :
( organization(X0)
=> external_ties(X0,X4) = external_ties(X0,X3) ),
file('/export/starexec/sandbox/tmp/tmp.frjNq9uw3O/Vampire---4.8_11984',assumption_11) ).
fof(f33,plain,
! [X2,X0,X1] :
( position(X0,X2) = position(X0,X1)
| external_ties(X0,X2) != external_ties(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( ( position(X0,X2) = position(X0,X1)
| external_ties(X0,X2) != external_ties(X0,X1) )
& ( greater(position(X0,X2),position(X0,X1))
| ~ greater(external_ties(X0,X2),external_ties(X0,X1)) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1,X2] :
( organization(X0)
=> ( ( external_ties(X0,X2) = external_ties(X0,X1)
=> position(X0,X2) = position(X0,X1) )
& ( greater(external_ties(X0,X2),external_ties(X0,X1))
=> greater(position(X0,X2),position(X0,X1)) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X3,X4] :
( organization(X0)
=> ( ( external_ties(X0,X4) = external_ties(X0,X3)
=> position(X0,X4) = position(X0,X3) )
& ( greater(external_ties(X0,X4),external_ties(X0,X3))
=> greater(position(X0,X4),position(X0,X3)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.frjNq9uw3O/Vampire---4.8_11984',assumption_6) ).
fof(f66,plain,
! [X0] : position(sK0,sK1) != position(sK0,X0),
inference(superposition,[],[f27,f61]) ).
fof(f27,plain,
position(sK0,sK2) != position(sK0,sK1),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT049+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n008.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 : Mon Aug 28 06:29:47 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.frjNq9uw3O/Vampire---4.8_11984
% 0.15/0.37 % (12227)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (12234)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.22/0.43 % (12236)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.22/0.43 % (12232)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.22/0.43 % (12229)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.22/0.43 % (12230)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.22/0.43 % (12231)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.22/0.43 % (12235)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.22/0.44 % (12230)First to succeed.
% 0.22/0.44 % (12236)Also succeeded, but the first one will report.
% 0.22/0.44 % (12230)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Theorem for Vampire---4
% 0.22/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44 % (12230)------------------------------
% 0.22/0.44 % (12230)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (12230)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (12230)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (12230)Memory used [KB]: 9850
% 0.22/0.44 % (12230)Time elapsed: 0.005 s
% 0.22/0.44 % (12230)------------------------------
% 0.22/0.44 % (12230)------------------------------
% 0.22/0.44 % (12227)Success in time 0.065 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------