TSTP Solution File: SYN334+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN334+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 : n006.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 03:39:08 EDT 2023
% Result : Theorem 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 24 ( 3 unt; 0 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 181 ( 64 ~; 62 |; 34 &)
% ( 10 <=>; 9 =>; 0 <=; 2 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 51 (; 42 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,plain,
$false,
inference(resolution,[],[f32,f31]) ).
fof(f31,plain,
! [X0] : ~ big_f(X0,X0),
inference(subsumption_resolution,[],[f29,f19]) ).
fof(f19,plain,
! [X0,X1] :
( big_f(X1,sK0(X0,X1))
| big_f(X0,sK0(X0,X1))
| ~ big_f(X0,X1) ),
inference(forward_literal_rewriting,[],[f10,f16]) ).
fof(f16,plain,
! [X0,X1] :
( big_g(X0,X1)
| big_f(X0,X1) ),
inference(forward_literal_rewriting,[],[f13,f14]) ).
fof(f14,plain,
! [X0,X1] :
( big_g(sK0(X0,X1),sK0(X0,X1))
| big_g(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0,X1] :
( ( ~ big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_g(X0,X1) )
& ( big_g(sK0(X0,X1),sK0(X0,X1))
| big_g(X0,X1) )
& ( big_f(X0,X1)
| ( ~ big_g(sK0(X0,X1),sK0(X0,X1))
& big_f(sK0(X0,X1),sK0(X0,X1)) ) )
& ( big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X0,X1) )
& ( ( ( big_f(X0,sK0(X0,X1))
| ~ big_g(X1,sK0(X0,X1)) )
& ( big_g(X1,sK0(X0,X1))
| ~ big_f(X0,sK0(X0,X1)) ) )
| ~ big_f(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).
fof(f7,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ big_g(X2,X2)
| ~ big_g(X0,X1) )
& ( big_g(X2,X2)
| big_g(X0,X1) )
& ( big_f(X0,X1)
| ( ~ big_g(X2,X2)
& big_f(X2,X2) ) )
& ( big_g(X2,X2)
| ~ big_f(X2,X2)
| ~ big_f(X0,X1) )
& ( ( ( big_f(X0,X2)
| ~ big_g(X1,X2) )
& ( big_g(X1,X2)
| ~ big_f(X0,X2) ) )
| ~ big_f(X0,X1) ) )
=> ( ( ~ big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_g(X0,X1) )
& ( big_g(sK0(X0,X1),sK0(X0,X1))
| big_g(X0,X1) )
& ( big_f(X0,X1)
| ( ~ big_g(sK0(X0,X1),sK0(X0,X1))
& big_f(sK0(X0,X1),sK0(X0,X1)) ) )
& ( big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X0,X1) )
& ( ( ( big_f(X0,sK0(X0,X1))
| ~ big_g(X1,sK0(X0,X1)) )
& ( big_g(X1,sK0(X0,X1))
| ~ big_f(X0,sK0(X0,X1)) ) )
| ~ big_f(X0,X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
! [X0,X1] :
? [X2] :
( ( ~ big_g(X2,X2)
| ~ big_g(X0,X1) )
& ( big_g(X2,X2)
| big_g(X0,X1) )
& ( big_f(X0,X1)
| ( ~ big_g(X2,X2)
& big_f(X2,X2) ) )
& ( big_g(X2,X2)
| ~ big_f(X2,X2)
| ~ big_f(X0,X1) )
& ( ( ( big_f(X0,X2)
| ~ big_g(X1,X2) )
& ( big_g(X1,X2)
| ~ big_f(X0,X2) ) )
| ~ big_f(X0,X1) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
! [X0,X1] :
? [X2] :
( ( ~ big_g(X2,X2)
| ~ big_g(X0,X1) )
& ( big_g(X2,X2)
| big_g(X0,X1) )
& ( big_f(X0,X1)
| ( ~ big_g(X2,X2)
& big_f(X2,X2) ) )
& ( big_g(X2,X2)
| ~ big_f(X2,X2)
| ~ big_f(X0,X1) )
& ( ( ( big_f(X0,X2)
| ~ big_g(X1,X2) )
& ( big_g(X1,X2)
| ~ big_f(X0,X2) ) )
| ~ big_f(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
! [X0,X1] :
? [X2] :
( ( big_g(X0,X1)
<~> big_g(X2,X2) )
& ( big_f(X0,X1)
<=> ( big_g(X2,X2)
| ~ big_f(X2,X2) ) )
& ( ( big_f(X0,X2)
<=> big_g(X1,X2) )
| ~ big_f(X0,X1) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
! [X0,X1] :
? [X2] :
( ( big_g(X0,X1)
<~> big_g(X2,X2) )
& ( big_f(X0,X1)
<=> ( big_g(X2,X2)
| ~ big_f(X2,X2) ) )
& ( ( big_f(X0,X2)
<=> big_g(X1,X2) )
| ~ big_f(X0,X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0,X1] :
! [X2] :
( ( big_f(X0,X1)
=> ( big_f(X0,X2)
<=> big_g(X1,X2) ) )
=> ( ( big_f(X0,X1)
<=> ( big_f(X2,X2)
=> big_g(X2,X2) ) )
=> ( big_g(X0,X1)
<=> big_g(X2,X2) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0,X1] :
! [X2] :
( ( big_f(X0,X1)
=> ( big_f(X0,X2)
<=> big_g(X1,X2) ) )
=> ( ( big_f(X0,X1)
<=> ( big_f(X2,X2)
=> big_g(X2,X2) ) )
=> ( big_g(X0,X1)
<=> big_g(X2,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.iMO9O3eoKC/Vampire---4.8_25521',church_46_14_6) ).
fof(f13,plain,
! [X0,X1] :
( big_f(X0,X1)
| ~ big_g(sK0(X0,X1),sK0(X0,X1)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( big_f(X0,sK0(X0,X1))
| ~ big_g(X1,sK0(X0,X1))
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f29,plain,
! [X0] :
( ~ big_f(X0,sK0(X0,X0))
| ~ big_f(X0,X0) ),
inference(factoring,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ~ big_f(X1,sK0(X0,X1))
| ~ big_f(X0,sK0(X0,X1))
| ~ big_f(X0,X1) ),
inference(forward_literal_rewriting,[],[f9,f18]) ).
fof(f18,plain,
! [X0,X1] :
( ~ big_g(X0,X1)
| ~ big_f(X0,X1) ),
inference(forward_literal_rewriting,[],[f17,f15]) ).
fof(f15,plain,
! [X0,X1] :
( ~ big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_g(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f17,plain,
! [X0,X1] :
( big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X0,X1) ),
inference(subsumption_resolution,[],[f11,f16]) ).
fof(f11,plain,
! [X0,X1] :
( big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f9,plain,
! [X0,X1] :
( big_g(X1,sK0(X0,X1))
| ~ big_f(X0,sK0(X0,X1))
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f32,plain,
! [X0,X1] : big_f(X0,X1),
inference(resolution,[],[f31,f12]) ).
fof(f12,plain,
! [X0,X1] :
( big_f(sK0(X0,X1),sK0(X0,X1))
| big_f(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN334+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 18:49:07 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_NEQ problem
% 0.13/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.iMO9O3eoKC/Vampire---4.8_25521
% 0.13/0.36 % (25654)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (25657)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)
% 0.20/0.41 % (25656)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)
% 0.20/0.41 % (25659)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)
% 0.20/0.42 % (25660)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)
% 0.20/0.42 % (25655)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)
% 0.20/0.42 % (25661)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)
% 0.20/0.42 % (25658)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)
% 0.20/0.42 % (25660)Refutation not found, incomplete strategy% (25660)------------------------------
% 0.20/0.42 % (25660)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.42 % (25660)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.42 % (25660)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42
% 0.20/0.42 % (25660)Memory used [KB]: 5373
% 0.20/0.42 % (25660)Time elapsed: 0.003 s
% 0.20/0.42 % (25660)------------------------------
% 0.20/0.42 % (25660)------------------------------
% 0.20/0.42 % (25659)First to succeed.
% 0.20/0.42 % (25656)Also succeeded, but the first one will report.
% 0.20/0.42 % (25657)Also succeeded, but the first one will report.
% 0.20/0.42 % (25659)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Theorem for Vampire---4
% 0.20/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.42 % (25659)------------------------------
% 0.20/0.42 % (25659)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.42 % (25659)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.42 % (25659)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (25659)Memory used [KB]: 5373
% 0.20/0.42 % (25659)Time elapsed: 0.004 s
% 0.20/0.42 % (25659)------------------------------
% 0.20/0.42 % (25659)------------------------------
% 0.20/0.42 % (25654)Success in time 0.061 s
% 0.20/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------