TSTP Solution File: LCL646+1.001 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL646+1.001 : TPTP v8.1.2. Released v4.0.0.
% 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 08:27:12 EDT 2023
% Result : Theorem 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 4 unt; 0 def)
% Number of atoms : 187 ( 0 equ)
% Maximal formula atoms : 18 ( 8 avg)
% Number of connectives : 300 ( 135 ~; 128 |; 32 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 112 (; 80 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,plain,
$false,
inference(subsumption_resolution,[],[f26,f23]) ).
fof(f23,plain,
~ p2(sK2),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( r1(sK0,sK1)
& ~ p2(sK2)
& r1(sK0,sK2)
& r1(sK0,sK3)
& r1(sK0,sK4)
& ! [X5] :
( p2(X5)
| ~ r1(sK0,X5) )
& ! [X6] :
( p2(X6)
| ~ r1(sK0,X6) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f11,f16,f15,f14,f13,f12]) ).
fof(f12,plain,
( ? [X0] :
( ? [X1] : r1(X0,X1)
& ? [X2] :
( ~ p2(X2)
& r1(X0,X2) )
& ? [X3] : r1(X0,X3)
& ? [X4] : r1(X0,X4)
& ! [X5] :
( p2(X5)
| ~ r1(X0,X5) )
& ! [X6] :
( p2(X6)
| ~ r1(X0,X6) ) )
=> ( ? [X1] : r1(sK0,X1)
& ? [X2] :
( ~ p2(X2)
& r1(sK0,X2) )
& ? [X3] : r1(sK0,X3)
& ? [X4] : r1(sK0,X4)
& ! [X5] :
( p2(X5)
| ~ r1(sK0,X5) )
& ! [X6] :
( p2(X6)
| ~ r1(sK0,X6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
( ? [X1] : r1(sK0,X1)
=> r1(sK0,sK1) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ? [X2] :
( ~ p2(X2)
& r1(sK0,X2) )
=> ( ~ p2(sK2)
& r1(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ? [X3] : r1(sK0,X3)
=> r1(sK0,sK3) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X4] : r1(sK0,X4)
=> r1(sK0,sK4) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0] :
( ? [X1] : r1(X0,X1)
& ? [X2] :
( ~ p2(X2)
& r1(X0,X2) )
& ? [X3] : r1(X0,X3)
& ? [X4] : r1(X0,X4)
& ! [X5] :
( p2(X5)
| ~ r1(X0,X5) )
& ! [X6] :
( p2(X6)
| ~ r1(X0,X6) ) ),
inference(rectify,[],[f10]) ).
fof(f10,plain,
? [X0] :
( ? [X1] : r1(X0,X1)
& ? [X2] :
( ~ p2(X2)
& r1(X0,X2) )
& ? [X3] : r1(X0,X3)
& ? [X4] : r1(X0,X4)
& ! [X5] :
( p2(X5)
| ~ r1(X0,X5) )
& ! [X7] :
( p2(X7)
| ~ r1(X0,X7) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
? [X0] :
~ ( ! [X1] : ~ r1(X0,X1)
| ! [X2] :
( p2(X2)
| ~ r1(X0,X2) )
| ! [X3] : ~ r1(X0,X3)
| ! [X4] : ~ r1(X0,X4)
| ~ ! [X5] :
( p2(X5)
| ~ r1(X0,X5) )
| ~ ! [X7] :
( p2(X7)
| ~ r1(X0,X7) ) ),
inference(pure_predicate_removal,[],[f8]) ).
fof(f8,plain,
? [X0] :
~ ( ! [X1] : ~ r1(X0,X1)
| ! [X2] :
( p2(X2)
| ~ r1(X0,X2) )
| ! [X3] : ~ r1(X0,X3)
| ! [X4] : ~ r1(X0,X4)
| ~ ! [X5] :
( p2(X5)
| ~ r1(X0,X5) )
| ~ ! [X7] :
( p2(X7)
| ~ r1(X0,X7) )
| ~ ! [X8] :
( p6(X8)
| ~ r1(X0,X8) ) ),
inference(pure_predicate_removal,[],[f7]) ).
fof(f7,plain,
? [X0] :
~ ( ! [X1] : ~ r1(X0,X1)
| ! [X2] :
( p2(X2)
| ~ r1(X0,X2) )
| ! [X3] : ~ r1(X0,X3)
| ! [X4] : ~ r1(X0,X4)
| ~ ! [X5] :
( p2(X5)
| ~ r1(X0,X5) )
| ~ ! [X6] :
( p4(X6)
| ~ r1(X0,X6) )
| ~ ! [X7] :
( p2(X7)
| ~ r1(X0,X7) )
| ~ ! [X8] :
( p6(X8)
| ~ r1(X0,X8) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ! [X1] : ~ r1(X0,X1)
| ! [X2] :
( p2(X2)
| ~ r1(X0,X2) )
| ! [X3] : ~ r1(X0,X3)
| ! [X4] :
( p5(X4)
| ~ r1(X0,X4) )
| ~ ! [X5] :
( p2(X5)
| ~ r1(X0,X5) )
| ~ ! [X6] :
( p4(X6)
| ~ r1(X0,X6) )
| ~ ! [X7] :
( p2(X7)
| ~ r1(X0,X7) )
| ~ ! [X8] :
( p6(X8)
| ~ r1(X0,X8) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ! [X1] : ~ r1(X0,X1)
| ! [X2] :
( p2(X2)
| ~ r1(X0,X2) )
| ! [X3] :
( p3(X3)
| ~ r1(X0,X3) )
| ! [X4] :
( p5(X4)
| ~ r1(X0,X4) )
| ~ ! [X5] :
( p2(X5)
| ~ r1(X0,X5) )
| ~ ! [X6] :
( p4(X6)
| ~ r1(X0,X6) )
| ~ ! [X7] :
( p2(X7)
| ~ r1(X0,X7) )
| ~ ! [X8] :
( p6(X8)
| ~ r1(X0,X8) ) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( p2(X2)
| ~ r1(X0,X2) )
| ! [X3] :
( p3(X3)
| ~ r1(X0,X3) )
| ! [X4] :
( p5(X4)
| ~ r1(X0,X4) )
| ~ ! [X5] :
( p2(X5)
| ~ r1(X0,X5) )
| ~ ! [X6] :
( p4(X6)
| ~ r1(X0,X6) )
| ~ ! [X7] :
( p2(X7)
| ~ r1(X0,X7) )
| ~ ! [X8] :
( p6(X8)
| ~ r1(X0,X8) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( p2(X2)
| ~ r1(X0,X2) )
| ! [X3] :
( p3(X3)
| ~ r1(X0,X3) )
| ! [X4] :
( p5(X4)
| ~ r1(X0,X4) )
| ~ ! [X5] :
( p2(X5)
| ~ r1(X0,X5) )
| ~ ! [X6] :
( p4(X6)
| ~ r1(X0,X6) )
| ~ ! [X7] :
( p2(X7)
| ~ r1(X0,X7) )
| ~ ! [X8] :
( p6(X8)
| ~ r1(X0,X8) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p5(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p6(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p5(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p6(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.l4VQ7WNMKs/Vampire---4.8_13919',main) ).
fof(f26,plain,
p2(sK2),
inference(resolution,[],[f19,f22]) ).
fof(f22,plain,
r1(sK0,sK2),
inference(cnf_transformation,[],[f17]) ).
fof(f19,plain,
! [X5] :
( ~ r1(sK0,X5)
| p2(X5) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL646+1.001 : TPTP v8.1.2. Released v4.0.0.
% 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 : n025.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 : Fri Aug 25 01:02:21 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.35 This is a FOF_THM_EPR_NEQ problem
% 0.20/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.l4VQ7WNMKs/Vampire---4.8_13919
% 0.20/0.36 % (14081)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (14094)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)
% 0.21/0.41 % (14093)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)
% 0.21/0.41 % (14088)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)
% 0.21/0.41 % (14091)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)
% 0.21/0.41 % (14095)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)
% 0.21/0.41 % (14085)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 % (14094)First to succeed.
% 0.21/0.42 % (14088)Also succeeded, but the first one will report.
% 0.21/0.42 % (14094)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Theorem for Vampire---4
% 0.21/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.42 % (14094)------------------------------
% 0.21/0.42 % (14094)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (14094)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (14094)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (14094)Memory used [KB]: 5373
% 0.21/0.42 % (14094)Time elapsed: 0.004 s
% 0.21/0.42 % (14094)------------------------------
% 0.21/0.42 % (14094)------------------------------
% 0.21/0.42 % (14081)Success in time 0.062 s
% 0.21/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------