TSTP Solution File: SYN319+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN319+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 : n017.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 03:38:55 EDT 2023
% Result : Theorem 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 4 unt; 0 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 141 ( 47 ~; 36 |; 39 &)
% ( 4 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% Number of variables : 37 (; 27 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,plain,
$false,
inference(avatar_sat_refutation,[],[f26,f30,f37,f40]) ).
fof(f40,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f39]) ).
fof(f39,plain,
( $false
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f18,f25,f11]) ).
fof(f11,plain,
! [X0] :
( ~ big_f(X0)
| big_h(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0,X1] :
( ( ( ~ big_h(sK1(X0,X1))
& ( big_g(sK1(X0,X1))
| big_f(sK1(X0,X1)) )
& big_h(X1) )
| ~ big_h(sK1(X0,X1)) )
& ( big_h(X0)
| ( ~ big_g(X0)
& ~ big_f(X0) ) )
& ( ( ~ big_f(sK0(X0,X1))
& big_g(X0) )
| ( ~ big_g(sK0(X0,X1))
& big_f(X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f5]) ).
fof(f5,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ( ~ big_h(X3)
& ( big_g(X3)
| big_f(X3) )
& big_h(X1) )
| ~ big_h(X3) )
& ( big_h(X0)
| ( ~ big_g(X0)
& ~ big_f(X0) ) )
& ( ( ~ big_f(X2)
& big_g(X0) )
| ( ~ big_g(X2)
& big_f(X1) ) ) )
=> ( ( ( ~ big_h(sK1(X0,X1))
& ( big_g(sK1(X0,X1))
| big_f(sK1(X0,X1)) )
& big_h(X1) )
| ~ big_h(sK1(X0,X1)) )
& ( big_h(X0)
| ( ~ big_g(X0)
& ~ big_f(X0) ) )
& ( ( ~ big_f(sK0(X0,X1))
& big_g(X0) )
| ( ~ big_g(sK0(X0,X1))
& big_f(X1) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f4,plain,
! [X0,X1] :
? [X2,X3] :
( ( ( ~ big_h(X3)
& ( big_g(X3)
| big_f(X3) )
& big_h(X1) )
| ~ big_h(X3) )
& ( big_h(X0)
| ( ~ big_g(X0)
& ~ big_f(X0) ) )
& ( ( ~ big_f(X2)
& big_g(X0) )
| ( ~ big_g(X2)
& big_f(X1) ) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
! [X0,X1] :
? [X2,X3] :
( ( ( ~ big_h(X3)
& ( big_g(X3)
| big_f(X3) )
& big_h(X1) )
| ~ big_h(X3) )
& ( big_h(X0)
| ( ~ big_g(X0)
& ~ big_f(X0) ) )
& ( ( ~ big_f(X2)
& big_g(X0) )
| ( ~ big_g(X2)
& big_f(X1) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0,X1] :
! [X2,X3] :
( ( ( big_f(X1)
=> big_g(X2) )
=> ( ~ big_f(X2)
& big_g(X0) ) )
=> ( ( ( big_g(X0)
| big_f(X0) )
=> big_h(X0) )
=> ( ( big_h(X1)
=> ( ( big_g(X3)
| big_f(X3) )
=> big_h(X3) ) )
& big_h(X3) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0,X1] :
! [X2,X3] :
( ( ( big_f(X1)
=> big_g(X2) )
=> ( ~ big_f(X2)
& big_g(X0) ) )
=> ( ( ( big_g(X0)
| big_f(X0) )
=> big_h(X0) )
=> ( ( big_h(X1)
=> ( ( big_g(X3)
| big_f(X3) )
=> big_h(X3) ) )
& big_h(X3) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.0YRiWJXWrV/Vampire---4.8_29240',church_46_2_5) ).
fof(f25,plain,
( ! [X1] : big_f(X1)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f24,plain,
( spl3_2
<=> ! [X1] : big_f(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f18,plain,
! [X0,X1] : ~ big_h(sK1(X0,X1)),
inference(duplicate_literal_removal,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ~ big_h(sK1(X0,X1))
| ~ big_h(sK1(X0,X1)) ),
inference(cnf_transformation,[],[f6]) ).
fof(f37,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f34]) ).
fof(f34,plain,
( $false
| ~ spl3_3 ),
inference(unit_resulting_resolution,[],[f29,f18,f12]) ).
fof(f12,plain,
! [X0] :
( ~ big_g(X0)
| big_h(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f29,plain,
( ! [X0] : big_g(X0)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl3_3
<=> ! [X0] : big_g(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f30,plain,
( spl3_1
| spl3_3 ),
inference(avatar_split_clause,[],[f16,f28,f20]) ).
fof(f20,plain,
( spl3_1
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f16,plain,
! [X0] :
( big_g(X0)
| sP2 ),
inference(cnf_transformation,[],[f16_D]) ).
fof(f16_D,plain,
( ! [X0] : big_g(X0)
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f26,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f17,f24,f20]) ).
fof(f17,plain,
! [X1] :
( big_f(X1)
| ~ sP2 ),
inference(general_splitting,[],[f7,f16_D]) ).
fof(f7,plain,
! [X0,X1] :
( big_g(X0)
| big_f(X1) ),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN319+1 : TPTP v8.1.2. Released v2.0.0.
% 0.14/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n017.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 : Sat Aug 26 18:38:11 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_NEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.0YRiWJXWrV/Vampire---4.8_29240
% 0.15/0.36 % (29347)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (29352)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)
% 0.22/0.42 % (29353)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)
% 0.22/0.42 % (29351)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)
% 0.22/0.42 % (29350)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)
% 0.22/0.42 % (29354)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)
% 0.22/0.42 % (29348)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)
% 0.22/0.42 % (29353)First to succeed.
% 0.22/0.42 % (29350)Also succeeded, but the first one will report.
% 0.22/0.42 % (29354)Also succeeded, but the first one will report.
% 0.22/0.42 % (29353)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Theorem for Vampire---4
% 0.22/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.42 % (29353)------------------------------
% 0.22/0.42 % (29353)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (29353)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (29353)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42 % (29353)Memory used [KB]: 5373
% 0.22/0.42 % (29353)Time elapsed: 0.004 s
% 0.22/0.42 % (29353)------------------------------
% 0.22/0.42 % (29353)------------------------------
% 0.22/0.42 % (29347)Success in time 0.062 s
% 0.22/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------