TSTP Solution File: SYN053+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN053+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n001.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 03:37:16 EDT 2023
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 5 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 88 ( 32 ~; 35 |; 14 &)
% ( 4 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 28 (; 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32,plain,
$false,
inference(avatar_sat_refutation,[],[f26,f29,f31]) ).
fof(f31,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f30]) ).
fof(f30,plain,
( $false
| spl2_1 ),
inference(subsumption_resolution,[],[f21,f27]) ).
fof(f27,plain,
! [X3] : big_f(X3),
inference(subsumption_resolution,[],[f16,f17]) ).
fof(f17,plain,
~ p,
inference(duplicate_literal_removal,[],[f11]) ).
fof(f11,plain,
( ~ p
| ~ p ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( ( ~ big_f(sK0)
& ~ p )
| ( ~ big_f(sK1)
& ~ p ) )
& ( ! [X2] : big_f(X2)
| p
| ! [X3] :
( big_f(X3)
| p ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X0] : ~ big_f(X0)
=> ~ big_f(sK0) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X1] :
( ~ big_f(X1)
& ~ p )
=> ( ~ big_f(sK1)
& ~ p ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ( ( ? [X0] : ~ big_f(X0)
& ~ p )
| ? [X1] :
( ~ big_f(X1)
& ~ p ) )
& ( ! [X2] : big_f(X2)
| p
| ! [X3] :
( big_f(X3)
| p ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ( ( ? [X1] : ~ big_f(X1)
& ~ p )
| ? [X0] :
( ~ big_f(X0)
& ~ p ) )
& ( ! [X1] : big_f(X1)
| p
| ! [X0] :
( big_f(X0)
| p ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ( ( ? [X1] : ~ big_f(X1)
& ~ p )
| ? [X0] :
( ~ big_f(X0)
& ~ p ) )
& ( ! [X1] : big_f(X1)
| p
| ! [X0] :
( big_f(X0)
| p ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,plain,
( ! [X0] :
( big_f(X0)
| p )
<~> ( ! [X1] : big_f(X1)
| p ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( big_f(X0)
| p )
<=> ( ! [X1] : big_f(X1)
| p ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0] :
( big_f(X0)
| p )
<=> ( ! [X1] : big_f(X1)
| p ) ),
file('/export/starexec/sandbox2/tmp/tmp.ZTIXGQJfD1/Vampire---4.8_18819',pel23) ).
fof(f16,plain,
! [X3] :
( p
| big_f(X3) ),
inference(condensation,[],[f15]) ).
fof(f15,plain,
! [X2,X3] :
( big_f(X2)
| p
| big_f(X3) ),
inference(duplicate_literal_removal,[],[f10]) ).
fof(f10,plain,
! [X2,X3] :
( big_f(X2)
| p
| big_f(X3)
| p ),
inference(cnf_transformation,[],[f9]) ).
fof(f21,plain,
( ~ big_f(sK1)
| spl2_1 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f19,plain,
( spl2_1
<=> big_f(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f29,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f28]) ).
fof(f28,plain,
( $false
| spl2_2 ),
inference(subsumption_resolution,[],[f25,f27]) ).
fof(f25,plain,
( ~ big_f(sK0)
| spl2_2 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f23,plain,
( spl2_2
<=> big_f(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f26,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f14,f23,f19]) ).
fof(f14,plain,
( ~ big_f(sK0)
| ~ big_f(sK1) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN053+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n001.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 : Sat Aug 26 17:43:16 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_EPR_NEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.ZTIXGQJfD1/Vampire---4.8_18819
% 0.15/0.36 % (18954)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (18958)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)
% 0.21/0.42 % (18955)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 % (18959)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)
% 0.21/0.42 % (18960)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)
% 0.21/0.42 % (18961)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)
% 0.21/0.43 % (18956)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)
% 0.21/0.43 % (18957)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)
% 0.21/0.43 % (18959)First to succeed.
% 0.21/0.43 % (18961)Also succeeded, but the first one will report.
% 0.21/0.43 % (18955)Also succeeded, but the first one will report.
% 0.21/0.43 % (18959)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for Vampire---4
% 0.21/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43 % (18959)------------------------------
% 0.21/0.43 % (18959)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (18959)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (18959)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (18959)Memory used [KB]: 5373
% 0.21/0.43 % (18959)Time elapsed: 0.003 s
% 0.21/0.43 % (18959)------------------------------
% 0.21/0.43 % (18959)------------------------------
% 0.21/0.43 % (18954)Success in time 0.063 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------