TSTP Solution File: SET085-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET085-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : n021.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 22:20:13 EDT 2023
% Result : Unsatisfiable 0.23s 5.45s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 25 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 9 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 8 (; 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f317,plain,
$false,
inference(trivial_inequality_removal,[],[f316]) ).
fof(f316,plain,
x != x,
inference(superposition,[],[f94,f305]) ).
fof(f305,plain,
y = x,
inference(trivial_inequality_removal,[],[f304]) ).
fof(f304,plain,
( x != x
| y = x ),
inference(superposition,[],[f95,f299]) ).
fof(f299,plain,
( z = x
| y = x ),
inference(resolution,[],[f291,f93]) ).
fof(f93,axiom,
member(x,universal_class),
file('/export/starexec/sandbox2/tmp/tmp.50JCvkjmvi/Vampire---4.8_25972',prove_singleton_in_unordered_pair3_2) ).
fof(f291,plain,
( ~ member(x,universal_class)
| z = x
| y = x ),
inference(resolution,[],[f287,f105]) ).
fof(f105,plain,
! [X0] :
( member(X0,singleton(X0))
| ~ member(X0,universal_class) ),
inference(superposition,[],[f9,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/tmp/tmp.50JCvkjmvi/Vampire---4.8_25972',singleton_set) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/tmp/tmp.50JCvkjmvi/Vampire---4.8_25972',unordered_pair2) ).
fof(f287,plain,
! [X0] :
( ~ member(X0,singleton(x))
| y = X0
| z = X0 ),
inference(superposition,[],[f8,f92]) ).
fof(f92,axiom,
unordered_pair(y,z) = singleton(x),
file('/export/starexec/sandbox2/tmp/tmp.50JCvkjmvi/Vampire---4.8_25972',prove_singleton_in_unordered_pair3_1) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox2/tmp/tmp.50JCvkjmvi/Vampire---4.8_25972',unordered_pair_member) ).
fof(f95,axiom,
z != x,
file('/export/starexec/sandbox2/tmp/tmp.50JCvkjmvi/Vampire---4.8_25972',prove_singleton_in_unordered_pair3_4) ).
fof(f94,axiom,
y != x,
file('/export/starexec/sandbox2/tmp/tmp.50JCvkjmvi/Vampire---4.8_25972',prove_singleton_in_unordered_pair3_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET085-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.20/5.37 % Computer : n021.cluster.edu
% 0.20/5.37 % Model : x86_64 x86_64
% 0.20/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/5.37 % Memory : 8042.1875MB
% 0.20/5.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/5.37 % CPULimit : 300
% 0.20/5.37 % WCLimit : 300
% 0.20/5.37 % DateTime : Wed Aug 30 15:44:05 EDT 2023
% 0.20/5.37 % CPUTime :
% 0.23/5.43 % (26324)Running in auto input_syntax mode. Trying TPTP
% 0.23/5.43 % (26326)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/5.43 % (26325)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/5.43 % (26328)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/5.44 % (26327)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)
% 0.23/5.44 % (26329)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)
% 0.23/5.44 % (26331)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)
% 0.23/5.44 % (26332)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)
% 0.23/5.44 TRYING [1]
% 0.23/5.44 TRYING [2]
% 0.23/5.45 % (26331)First to succeed.
% 0.23/5.45 % (26331)Refutation found. Thanks to Tanya!
% 0.23/5.45 % SZS status Unsatisfiable for Vampire---4
% 0.23/5.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/5.45 % (26331)------------------------------
% 0.23/5.45 % (26331)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/5.45 % (26331)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/5.45 % (26331)Termination reason: Refutation
% 0.23/5.45
% 0.23/5.45 % (26331)Memory used [KB]: 1407
% 0.23/5.45 % (26331)Time elapsed: 0.016 s
% 0.23/5.45 % (26331)------------------------------
% 0.23/5.45 % (26331)------------------------------
% 0.23/5.45 % (26324)Success in time 0.078 s
% 0.23/5.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------