TSTP Solution File: SET236-6 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---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 : n027.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 : Thu Aug 31 15:39:01 EDT 2023
% Result : Unsatisfiable 0.15s 0.42s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 21 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 15 (; 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f188,plain,
$false,
inference(subsumption_resolution,[],[f174,f134]) ).
fof(f134,plain,
! [X0,X1] : ~ member(not_subclass_element(x,y),cross_product(X0,X1)),
inference(subsumption_resolution,[],[f133,f121]) ).
fof(f121,plain,
~ member(not_subclass_element(x,y),y),
inference(resolution,[],[f115,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/tmp/tmp.qkr9eh1h4g/Vampire---4.8_28227',not_subclass_members2) ).
fof(f115,axiom,
~ subclass(x,y),
file('/export/starexec/sandbox/tmp/tmp.qkr9eh1h4g/Vampire---4.8_28227',prove_cross_product_property11_3) ).
fof(f133,plain,
! [X0,X1] :
( member(not_subclass_element(x,y),y)
| ~ member(not_subclass_element(x,y),cross_product(X0,X1)) ),
inference(superposition,[],[f114,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.qkr9eh1h4g/Vampire---4.8_28227',cartesian_product4) ).
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.qkr9eh1h4g/Vampire---4.8_28227',prove_cross_product_property11_2) ).
fof(f174,plain,
member(not_subclass_element(x,y),cross_product(universal_class,universal_class)),
inference(resolution,[],[f123,f120]) ).
fof(f120,plain,
member(not_subclass_element(x,y),x),
inference(resolution,[],[f115,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/tmp/tmp.qkr9eh1h4g/Vampire---4.8_28227',not_subclass_members1) ).
fof(f123,plain,
! [X0] :
( ~ member(X0,x)
| member(X0,cross_product(universal_class,universal_class)) ),
inference(resolution,[],[f113,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.qkr9eh1h4g/Vampire---4.8_28227',subclass_members) ).
fof(f113,axiom,
subclass(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/tmp/tmp.qkr9eh1h4g/Vampire---4.8_28227',prove_cross_product_property11_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET236-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n027.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat Aug 26 16:49:50 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.qkr9eh1h4g/Vampire---4.8_28227
% 0.15/0.37 % (28497)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.41 % (28504)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.15/0.42 % (28504)First to succeed.
% 0.15/0.42 % (28504)Refutation found. Thanks to Tanya!
% 0.15/0.42 % SZS status Unsatisfiable for Vampire---4
% 0.15/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.15/0.42 % (28504)------------------------------
% 0.15/0.42 % (28504)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.15/0.42 % (28504)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.15/0.42 % (28504)Termination reason: Refutation
% 0.15/0.42
% 0.15/0.42 % (28504)Memory used [KB]: 10362
% 0.15/0.42 % (28504)Time elapsed: 0.006 s
% 0.15/0.42 % (28504)------------------------------
% 0.15/0.42 % (28504)------------------------------
% 0.15/0.42 % (28497)Success in time 0.045 s
% 0.15/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------