TSTP Solution File: CAT033+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CAT033+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 05:31:57 EST 2010
% Result : Theorem 0.28s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 9 unt; 0 def)
% Number of atoms : 127 ( 4 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 153 ( 62 ~; 60 |; 16 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 46 ( 2 sgn 30 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_cat_1(X2))
=> ( r1_tarski(k17_ens_1(X2),X1)
=> m2_cat_1(k20_ens_1(X2,X3),X2,k12_ens_1(X1)) ) ) ) ),
file('/tmp/tmp44a7pf/sel_CAT033+1.p_1',t49_ens_1) ).
fof(3,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ~ v1_xboole_0(k17_ens_1(X1)) ),
file('/tmp/tmp44a7pf/sel_CAT033+1.p_1',fc5_ens_1) ).
fof(17,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/tmp/tmp44a7pf/sel_CAT033+1.p_1',reflexivity_r1_tarski) ).
fof(34,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> k1_yoneda_1(X1) = k12_ens_1(k17_ens_1(X1)) ),
file('/tmp/tmp44a7pf/sel_CAT033+1.p_1',d1_yoneda_1) ).
fof(41,conjecture,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_cat_1(X1))
=> m2_cat_1(k20_ens_1(X1,X2),X1,k1_yoneda_1(X1)) ) ),
file('/tmp/tmp44a7pf/sel_CAT033+1.p_1',t2_yoneda_1) ).
fof(54,negated_conjecture,
~ ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_cat_1(X1))
=> m2_cat_1(k20_ens_1(X1,X2),X1,k1_yoneda_1(X1)) ) ),
inference(assume_negation,[status(cth)],[41]) ).
fof(55,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_cat_1(X2))
=> ( r1_tarski(k17_ens_1(X2),X1)
=> m2_cat_1(k20_ens_1(X2,X3),X2,k12_ens_1(X1)) ) ) ) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(57,plain,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ~ v1_xboole_0(k17_ens_1(X1)) ),
inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).
fof(66,plain,
! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,u1_cat_1(X2))
| ~ r1_tarski(k17_ens_1(X2),X1)
| m2_cat_1(k20_ens_1(X2,X3),X2,k12_ens_1(X1)) ) ) ),
inference(fof_nnf,[status(thm)],[55]) ).
fof(67,plain,
! [X4] :
( v1_xboole_0(X4)
| ! [X5] :
( ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ! [X6] :
( ~ m1_subset_1(X6,u1_cat_1(X5))
| ~ r1_tarski(k17_ens_1(X5),X4)
| m2_cat_1(k20_ens_1(X5,X6),X5,k12_ens_1(X4)) ) ) ),
inference(variable_rename,[status(thm)],[66]) ).
fof(68,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X6,u1_cat_1(X5))
| ~ r1_tarski(k17_ens_1(X5),X4)
| m2_cat_1(k20_ens_1(X5,X6),X5,k12_ens_1(X4))
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| v1_xboole_0(X4) ),
inference(shift_quantors,[status(thm)],[67]) ).
cnf(69,plain,
( v1_xboole_0(X1)
| m2_cat_1(k20_ens_1(X2,X3),X2,k12_ens_1(X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ r1_tarski(k17_ens_1(X2),X1)
| ~ m1_subset_1(X3,u1_cat_1(X2)) ),
inference(split_conjunct,[status(thm)],[68]) ).
fof(73,plain,
! [X1] :
( ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v1_xboole_0(k17_ens_1(X1)) ),
inference(fof_nnf,[status(thm)],[57]) ).
fof(74,plain,
! [X2] :
( ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v1_xboole_0(k17_ens_1(X2)) ),
inference(variable_rename,[status(thm)],[73]) ).
cnf(75,plain,
( ~ v1_xboole_0(k17_ens_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[74]) ).
fof(137,plain,
! [X3,X4] : r1_tarski(X3,X3),
inference(variable_rename,[status(thm)],[17]) ).
cnf(138,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[137]) ).
fof(193,plain,
! [X1] :
( ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k1_yoneda_1(X1) = k12_ens_1(k17_ens_1(X1)) ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(194,plain,
! [X2] :
( ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| k1_yoneda_1(X2) = k12_ens_1(k17_ens_1(X2)) ),
inference(variable_rename,[status(thm)],[193]) ).
cnf(195,plain,
( k1_yoneda_1(X1) = k12_ens_1(k17_ens_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[194]) ).
fof(215,negated_conjecture,
? [X1] :
( v2_cat_1(X1)
& l1_cat_1(X1)
& ? [X2] :
( m1_subset_1(X2,u1_cat_1(X1))
& ~ m2_cat_1(k20_ens_1(X1,X2),X1,k1_yoneda_1(X1)) ) ),
inference(fof_nnf,[status(thm)],[54]) ).
fof(216,negated_conjecture,
? [X3] :
( v2_cat_1(X3)
& l1_cat_1(X3)
& ? [X4] :
( m1_subset_1(X4,u1_cat_1(X3))
& ~ m2_cat_1(k20_ens_1(X3,X4),X3,k1_yoneda_1(X3)) ) ),
inference(variable_rename,[status(thm)],[215]) ).
fof(217,negated_conjecture,
( v2_cat_1(esk8_0)
& l1_cat_1(esk8_0)
& m1_subset_1(esk9_0,u1_cat_1(esk8_0))
& ~ m2_cat_1(k20_ens_1(esk8_0,esk9_0),esk8_0,k1_yoneda_1(esk8_0)) ),
inference(skolemize,[status(esa)],[216]) ).
cnf(218,negated_conjecture,
~ m2_cat_1(k20_ens_1(esk8_0,esk9_0),esk8_0,k1_yoneda_1(esk8_0)),
inference(split_conjunct,[status(thm)],[217]) ).
cnf(219,negated_conjecture,
m1_subset_1(esk9_0,u1_cat_1(esk8_0)),
inference(split_conjunct,[status(thm)],[217]) ).
cnf(220,negated_conjecture,
l1_cat_1(esk8_0),
inference(split_conjunct,[status(thm)],[217]) ).
cnf(221,negated_conjecture,
v2_cat_1(esk8_0),
inference(split_conjunct,[status(thm)],[217]) ).
cnf(295,plain,
( m2_cat_1(k20_ens_1(X1,X2),X1,k1_yoneda_1(X3))
| v1_xboole_0(k17_ens_1(X3))
| ~ r1_tarski(k17_ens_1(X1),k17_ens_1(X3))
| ~ m1_subset_1(X2,u1_cat_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ),
inference(spm,[status(thm)],[69,195,theory(equality)]) ).
cnf(604,plain,
( m2_cat_1(k20_ens_1(X1,X2),X1,k1_yoneda_1(X3))
| ~ r1_tarski(k17_ens_1(X1),k17_ens_1(X3))
| ~ m1_subset_1(X2,u1_cat_1(X1))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3) ),
inference(csr,[status(thm)],[295,75]) ).
cnf(605,negated_conjecture,
( ~ r1_tarski(k17_ens_1(esk8_0),k17_ens_1(esk8_0))
| ~ m1_subset_1(esk9_0,u1_cat_1(esk8_0))
| ~ l1_cat_1(esk8_0)
| ~ v2_cat_1(esk8_0) ),
inference(spm,[status(thm)],[218,604,theory(equality)]) ).
cnf(608,negated_conjecture,
( $false
| ~ m1_subset_1(esk9_0,u1_cat_1(esk8_0))
| ~ l1_cat_1(esk8_0)
| ~ v2_cat_1(esk8_0) ),
inference(rw,[status(thm)],[605,138,theory(equality)]) ).
cnf(609,negated_conjecture,
( $false
| $false
| ~ l1_cat_1(esk8_0)
| ~ v2_cat_1(esk8_0) ),
inference(rw,[status(thm)],[608,219,theory(equality)]) ).
cnf(610,negated_conjecture,
( $false
| $false
| $false
| ~ v2_cat_1(esk8_0) ),
inference(rw,[status(thm)],[609,220,theory(equality)]) ).
cnf(611,negated_conjecture,
( $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[610,221,theory(equality)]) ).
cnf(612,negated_conjecture,
$false,
inference(cn,[status(thm)],[611,theory(equality)]) ).
cnf(613,negated_conjecture,
$false,
612,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CAT/CAT033+1.p
% --creating new selector for []
% -running prover on /tmp/tmp44a7pf/sel_CAT033+1.p_1 with time limit 29
% -prover status Theorem
% Problem CAT033+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CAT/CAT033+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CAT/CAT033+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------