TSTP Solution File: LCL452+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---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 : n012.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 : Fri Sep 1 17:20:42 EDT 2023
% Result : Theorem 0.17s 0.45s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 16 unt; 0 def)
% Number of atoms : 68 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 61 ( 29 ~; 19 |; 6 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 50 (; 38 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f307,plain,
$false,
inference(resolution,[],[f305,f189]) ).
fof(f189,plain,
or_1,
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
or_1,
file('/export/starexec/sandbox2/tmp/tmp.RWuky039bC/Vampire---4.8_8650',hilbert_or_1) ).
fof(f305,plain,
~ or_1,
inference(resolution,[],[f290,f228]) ).
fof(f228,plain,
! [X2,X3] :
( is_a_theorem(implies(X2,or(X2,X3)))
| ~ or_1 ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ( or_1
| ~ is_a_theorem(implies(sK23,or(sK23,sK24))) )
& ( ! [X2,X3] : is_a_theorem(implies(X2,or(X2,X3)))
| ~ or_1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f120,f121]) ).
fof(f121,plain,
( ? [X0,X1] : ~ is_a_theorem(implies(X0,or(X0,X1)))
=> ~ is_a_theorem(implies(sK23,or(sK23,sK24))) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
( ( or_1
| ? [X0,X1] : ~ is_a_theorem(implies(X0,or(X0,X1))) )
& ( ! [X2,X3] : is_a_theorem(implies(X2,or(X2,X3)))
| ~ or_1 ) ),
inference(rectify,[],[f119]) ).
fof(f119,plain,
( ( or_1
| ? [X0,X1] : ~ is_a_theorem(implies(X0,or(X0,X1))) )
& ( ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1)))
| ~ or_1 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
( or_1
<=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.RWuky039bC/Vampire---4.8_8650',or_1) ).
fof(f290,plain,
~ is_a_theorem(implies(sK21,or(sK21,sK22))),
inference(backward_demodulation,[],[f261,f283]) ).
fof(f283,plain,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
inference(resolution,[],[f266,f197]) ).
fof(f197,plain,
op_or,
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
op_or,
file('/export/starexec/sandbox2/tmp/tmp.RWuky039bC/Vampire---4.8_8650',luka_op_or) ).
fof(f266,plain,
! [X0,X1] :
( ~ op_or
| or(X0,X1) = implies(not(X0),X1) ),
inference(backward_demodulation,[],[f204,f265]) ).
fof(f265,plain,
! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
inference(resolution,[],[f203,f196]) ).
fof(f196,plain,
op_implies_and,
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
op_implies_and,
file('/export/starexec/sandbox2/tmp/tmp.RWuky039bC/Vampire---4.8_8650',hilbert_op_implies_and) ).
fof(f203,plain,
! [X0,X1] :
( ~ op_implies_and
| implies(X0,X1) = not(and(X0,not(X1))) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,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.RWuky039bC/Vampire---4.8_8650',op_implies_and) ).
fof(f204,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,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.RWuky039bC/Vampire---4.8_8650',op_or) ).
fof(f261,plain,
~ is_a_theorem(implies(sK21,implies(not(sK21),sK22))),
inference(resolution,[],[f227,f179]) ).
fof(f179,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.RWuky039bC/Vampire---4.8_8650',luka_cn2) ).
fof(f227,plain,
( cn2
| ~ is_a_theorem(implies(sK21,implies(not(sK21),sK22))) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ( cn2
| ~ is_a_theorem(implies(sK21,implies(not(sK21),sK22))) )
& ( ! [X2,X3] : is_a_theorem(implies(X2,implies(not(X2),X3)))
| ~ cn2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f116,f117]) ).
fof(f117,plain,
( ? [X0,X1] : ~ is_a_theorem(implies(X0,implies(not(X0),X1)))
=> ~ is_a_theorem(implies(sK21,implies(not(sK21),sK22))) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
( ( cn2
| ? [X0,X1] : ~ is_a_theorem(implies(X0,implies(not(X0),X1))) )
& ( ! [X2,X3] : is_a_theorem(implies(X2,implies(not(X2),X3)))
| ~ cn2 ) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
( ( cn2
| ? [X0,X1] : ~ is_a_theorem(implies(X0,implies(not(X0),X1))) )
& ( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ cn2 ) ),
inference(nnf_transformation,[],[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.RWuky039bC/Vampire---4.8_8650',cn2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : LCL452+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.35 % Computer : n012.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Aug 30 14:53:23 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.17/0.44 % (8759)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.45 % (8763)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.17/0.45 % (8765)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.17/0.45 % (8761)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.17/0.45 % (8764)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.17/0.45 % (8766)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.17/0.45 % (8762)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.17/0.45 % (8767)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.17/0.45 % (8766)First to succeed.
% 0.17/0.45 TRYING [1]
% 0.17/0.45 % (8766)Refutation found. Thanks to Tanya!
% 0.17/0.45 % SZS status Theorem for Vampire---4
% 0.17/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.45 % (8766)------------------------------
% 0.17/0.45 % (8766)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.45 % (8766)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.45 % (8766)Termination reason: Refutation
% 0.17/0.45
% 0.17/0.45 % (8766)Memory used [KB]: 1151
% 0.17/0.45 % (8766)Time elapsed: 0.008 s
% 0.17/0.45 % (8766)------------------------------
% 0.17/0.45 % (8766)------------------------------
% 0.17/0.45 % (8759)Success in time 0.103 s
% 0.17/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------