TSTP Solution File: LCL452+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL452+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n011.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 08:23:48 EDT 2023
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 17 unt; 0 def)
% Number of atoms : 51 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 33 ( 16 ~; 9 |; 0 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 38 (; 34 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f184,plain,
$false,
inference(subsumption_resolution,[],[f173,f148]) ).
fof(f148,plain,
! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))),
inference(subsumption_resolution,[],[f133,f117]) ).
fof(f117,plain,
or_1,
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
or_1,
file('/export/starexec/sandbox2/tmp/tmp.JuS9aMpLoc/Vampire---4.8_18988',hilbert_or_1) ).
fof(f133,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X0,X1)))
| ~ or_1 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1)))
| ~ or_1 ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
( or_1
=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
fof(f10,axiom,
( or_1
<=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.JuS9aMpLoc/Vampire---4.8_18988',or_1) ).
fof(f173,plain,
~ is_a_theorem(implies(sK0,or(sK0,sK1))),
inference(backward_demodulation,[],[f153,f168]) ).
fof(f168,plain,
! [X2,X3] : implies(not(X2),X3) = or(X2,X3),
inference(superposition,[],[f163,f161]) ).
fof(f161,plain,
! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
inference(subsumption_resolution,[],[f129,f124]) ).
fof(f124,plain,
op_implies_and,
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
op_implies_and,
file('/export/starexec/sandbox2/tmp/tmp.JuS9aMpLoc/Vampire---4.8_18988',hilbert_op_implies_and) ).
fof(f129,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
( op_implies_and
=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.JuS9aMpLoc/Vampire---4.8_18988',op_implies_and) ).
fof(f163,plain,
! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
inference(subsumption_resolution,[],[f130,f125]) ).
fof(f125,plain,
op_or,
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
op_or,
file('/export/starexec/sandbox2/tmp/tmp.JuS9aMpLoc/Vampire---4.8_18988',luka_op_or) ).
fof(f130,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
( op_or
=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.JuS9aMpLoc/Vampire---4.8_18988',op_or) ).
fof(f153,plain,
~ is_a_theorem(implies(sK0,implies(not(sK0),sK1))),
inference(subsumption_resolution,[],[f132,f108]) ).
fof(f108,plain,
~ cn2,
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
~ cn2,
inference(flattening,[],[f54]) ).
fof(f54,negated_conjecture,
~ cn2,
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
cn2,
file('/export/starexec/sandbox2/tmp/tmp.JuS9aMpLoc/Vampire---4.8_18988',luka_cn2) ).
fof(f132,plain,
( cn2
| ~ is_a_theorem(implies(sK0,implies(not(sK0),sK1))) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( cn2
| ~ is_a_theorem(implies(sK0,implies(not(sK0),sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f89,f106]) ).
fof(f106,plain,
( ? [X0,X1] : ~ is_a_theorem(implies(X0,implies(not(X0),X1)))
=> ~ is_a_theorem(implies(sK0,implies(not(sK0),sK1))) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
( cn2
| ? [X0,X1] : ~ is_a_theorem(implies(X0,implies(not(X0),X1))) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
=> cn2 ),
inference(unused_predicate_definition_removal,[],[f66]) ).
fof(f66,plain,
( cn2
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
( cn2
<=> ! [X3,X4] : is_a_theorem(implies(X3,implies(not(X3),X4))) ),
file('/export/starexec/sandbox2/tmp/tmp.JuS9aMpLoc/Vampire---4.8_18988',cn2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : LCL452+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n011.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri Aug 25 07:18:38 EDT 2023
% 0.15/0.37 % 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/sandbox2/tmp/tmp.JuS9aMpLoc/Vampire---4.8_18988
% 0.21/0.37 % (19294)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (19302)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.21/0.43 % (19303)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.21/0.44 % (19300)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.21/0.44 % (19304)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.21/0.44 % (19305)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_386 on Vampire---4 for (386ds/0Mi)
% 0.21/0.44 % (19299)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_730 on Vampire---4 for (730ds/0Mi)
% 0.21/0.44 % (19302)Refutation not found, incomplete strategy% (19302)------------------------------
% 0.21/0.44 % (19302)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (19302)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (19302)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44
% 0.21/0.44 % (19302)Memory used [KB]: 10106
% 0.21/0.44 % (19302)Time elapsed: 0.006 s
% 0.21/0.44 % (19302)------------------------------
% 0.21/0.44 % (19302)------------------------------
% 0.21/0.44 % (19304)First to succeed.
% 0.21/0.44 % (19305)Also succeeded, but the first one will report.
% 0.21/0.44 % (19304)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Theorem for Vampire---4
% 0.21/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.44 % (19304)------------------------------
% 0.21/0.44 % (19304)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (19304)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (19304)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (19304)Memory used [KB]: 5500
% 0.21/0.44 % (19304)Time elapsed: 0.006 s
% 0.21/0.44 % (19304)------------------------------
% 0.21/0.44 % (19304)------------------------------
% 0.21/0.44 % (19294)Success in time 0.067 s
% 0.21/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------