TSTP Solution File: SET236-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET236-6 : 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 : n031.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 22:35:45 EDT 2023
% Result : Unsatisfiable 13.35s 2.35s
% Output : Refutation 13.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 24 ( 17 unt; 0 def)
% Number of atoms : 33 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 15 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 30 (; 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f366481,plain,
$false,
inference(subsumption_resolution,[],[f366480,f5958]) ).
fof(f5958,plain,
! [X0,X1] : ~ member(ordered_pair(not_subclass_element(x,y),X0),cross_product(y,X1)),
inference(unit_resulting_resolution,[],[f429,f14]) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X2,X0) ),
file('/export/starexec/sandbox/tmp/tmp.Qq1QqwgAxS/Vampire---4.8_4997',cartesian_product1) ).
fof(f429,plain,
~ member(not_subclass_element(x,y),y),
inference(unit_resulting_resolution,[],[f115,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.Qq1QqwgAxS/Vampire---4.8_4997',not_subclass_members2) ).
fof(f115,axiom,
~ subclass(x,y),
file('/export/starexec/sandbox/tmp/tmp.Qq1QqwgAxS/Vampire---4.8_4997',prove_cross_product_property11_3) ).
fof(f366480,plain,
member(ordered_pair(not_subclass_element(x,y),not_subclass_element(y,complement(universal_class))),cross_product(y,y)),
inference(forward_demodulation,[],[f365907,f48292]) ).
fof(f48292,plain,
not_subclass_element(x,y) = ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),
inference(unit_resulting_resolution,[],[f1196,f17]) ).
fof(f17,axiom,
! [X0,X1,X4] :
( ~ member(X4,cross_product(X0,X1))
| ordered_pair(first(X4),second(X4)) = X4 ),
file('/export/starexec/sandbox/tmp/tmp.Qq1QqwgAxS/Vampire---4.8_4997',cartesian_product4) ).
fof(f1196,plain,
member(not_subclass_element(x,y),cross_product(universal_class,universal_class)),
inference(unit_resulting_resolution,[],[f113,f424,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.Qq1QqwgAxS/Vampire---4.8_4997',subclass_members) ).
fof(f424,plain,
member(not_subclass_element(x,y),x),
inference(unit_resulting_resolution,[],[f115,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.Qq1QqwgAxS/Vampire---4.8_4997',not_subclass_members1) ).
fof(f113,axiom,
subclass(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/tmp/tmp.Qq1QqwgAxS/Vampire---4.8_4997',prove_cross_product_property11_1) ).
fof(f365907,plain,
member(ordered_pair(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),not_subclass_element(y,complement(universal_class))),cross_product(y,y)),
inference(unit_resulting_resolution,[],[f114,f47613,f16]) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X2,X0)
| ~ member(X3,X1)
| member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.Qq1QqwgAxS/Vampire---4.8_4997',cartesian_product3) ).
fof(f47613,plain,
member(not_subclass_element(y,complement(universal_class)),y),
inference(unit_resulting_resolution,[],[f47599,f2]) ).
fof(f47599,plain,
~ subclass(y,complement(universal_class)),
inference(unit_resulting_resolution,[],[f114,f29573,f1]) ).
fof(f29573,plain,
! [X18,X17] : ~ member(ordered_pair(X17,X18),complement(universal_class)),
inference(superposition,[],[f138,f13]) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/tmp/tmp.Qq1QqwgAxS/Vampire---4.8_4997',ordered_pair) ).
fof(f138,plain,
! [X0,X1] : ~ member(unordered_pair(X0,X1),complement(universal_class)),
inference(unit_resulting_resolution,[],[f11,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/tmp/tmp.Qq1QqwgAxS/Vampire---4.8_4997',complement1) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/tmp/tmp.Qq1QqwgAxS/Vampire---4.8_4997',unordered_pairs_in_universal) ).
fof(f114,axiom,
member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),y),
file('/export/starexec/sandbox/tmp/tmp.Qq1QqwgAxS/Vampire---4.8_4997',prove_cross_product_property11_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET236-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.11 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.32 % Computer : n031.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Aug 30 16:16:57 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.38 % (5245)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (5251)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.17/0.39 % (5252)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.17/0.39 % (5254)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.17/0.39 % (5253)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)
% 0.17/0.39 % (5255)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)
% 0.17/0.39 % (5256)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)
% 0.17/0.39 % (5257)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)
% 0.17/0.40 TRYING [1]
% 0.17/0.40 TRYING [2]
% 0.17/0.42 TRYING [3]
% 0.17/0.43 TRYING [1]
% 0.17/0.43 TRYING [2]
% 0.17/0.48 TRYING [4]
% 0.17/0.52 TRYING [3]
% 1.71/0.62 TRYING [5]
% 1.71/0.63 TRYING [4]
% 4.09/0.98 TRYING [6]
% 4.09/0.99 TRYING [5]
% 7.59/1.49 TRYING [1]
% 7.59/1.49 TRYING [2]
% 7.98/1.51 TRYING [3]
% 7.98/1.55 TRYING [4]
% 9.01/1.66 TRYING [5]
% 11.14/2.00 TRYING [6]
% 11.79/2.05 TRYING [7]
% 13.35/2.32 TRYING [6]
% 13.35/2.33 % (5257)First to succeed.
% 13.35/2.35 % (5257)Refutation found. Thanks to Tanya!
% 13.35/2.35 % SZS status Unsatisfiable for Vampire---4
% 13.35/2.35 % SZS output start Proof for Vampire---4
% See solution above
% 13.35/2.35 % (5257)------------------------------
% 13.35/2.35 % (5257)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 13.35/2.35 % (5257)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 13.35/2.35 % (5257)Termination reason: Refutation
% 13.35/2.35
% 13.35/2.35 % (5257)Memory used [KB]: 226179
% 13.35/2.35 % (5257)Time elapsed: 1.946 s
% 13.35/2.35 % (5257)------------------------------
% 13.35/2.35 % (5257)------------------------------
% 13.35/2.35 % (5245)Success in time 2.013 s
% 13.35/2.35 % Vampire---4.8 exiting
%------------------------------------------------------------------------------