TSTP Solution File: SWW215+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWW215+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Mar 6 15:16:18 EST 2011
% Result : Theorem 5.36s
% Output : CNFRefutation 5.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 15 unt; 0 def)
% Number of atoms : 92 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 99 ( 44 ~; 39 |; 9 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 50 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(44,axiom,
! [X23,X24] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X24,X23)
<=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X24,X23)
| X24 = X23 ) ),
file('/tmp/tmpphk2MZ/sel_SWW215+1.p_1',fact_less__eq__real__def) ).
fof(69,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/tmp/tmpphk2MZ/sel_SWW215+1.p_1',conj_0) ).
fof(457,axiom,
! [X12,X18,X17] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X17,X18)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X18,X12)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X17,X12) ) ),
file('/tmp/tmpphk2MZ/sel_SWW215+1.p_1',fact_real__le__trans) ).
fof(492,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),v_da____),
file('/tmp/tmpphk2MZ/sel_SWW215+1.p_1',fact_H_I5_J) ).
fof(738,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/tmp/tmpphk2MZ/sel_SWW215+1.p_1',fact_H_I2_J) ).
fof(937,axiom,
! [X23,X24,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ c_Orderings_Oord__class_Oless__eq(X5,X24,X23)
<=> c_Orderings_Oord__class_Oless(X5,X23,X24) ) ),
file('/tmp/tmpphk2MZ/sel_SWW215+1.p_1',fact_linorder__not__le) ).
fof(1147,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/tmp/tmpphk2MZ/sel_SWW215+1.p_1',arity_RealDef__Oreal__Orderings_Olinorder) ).
fof(1155,axiom,
! [X1,X3] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X1)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3) ),
file('/tmp/tmpphk2MZ/sel_SWW215+1.p_1',fact_real__le__linear) ).
fof(1279,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(assume_negation,[status(cth)],[69]) ).
fof(1282,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(fof_simplification,[status(thm)],[1279,theory(equality)]) ).
fof(1333,plain,
! [X23,X24,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ c_Orderings_Oord__class_Oless__eq(X5,X24,X23)
<=> c_Orderings_Oord__class_Oless(X5,X23,X24) ) ),
inference(fof_simplification,[status(thm)],[937,theory(equality)]) ).
fof(1473,plain,
! [X23,X24] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X24,X23)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X24,X23)
| X24 = X23 )
& ( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X24,X23)
& X24 != X23 )
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X24,X23) ) ),
inference(fof_nnf,[status(thm)],[44]) ).
fof(1474,plain,
! [X25,X26] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X26,X25)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X26,X25)
| X26 = X25 )
& ( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X26,X25)
& X26 != X25 )
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X26,X25) ) ),
inference(variable_rename,[status(thm)],[1473]) ).
fof(1475,plain,
! [X25,X26] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X26,X25)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X26,X25)
| X26 = X25 )
& ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X26,X25)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X26,X25) )
& ( X26 != X25
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X26,X25) ) ),
inference(distribute,[status(thm)],[1474]) ).
cnf(1477,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
inference(split_conjunct,[status(thm)],[1475]) ).
cnf(1557,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(split_conjunct,[status(thm)],[1282]) ).
fof(2810,plain,
! [X12,X18,X17] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X17,X18)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X18,X12)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X17,X12) ),
inference(fof_nnf,[status(thm)],[457]) ).
fof(2811,plain,
! [X19,X20,X21] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X21,X20)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X20,X19)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X21,X19) ),
inference(variable_rename,[status(thm)],[2810]) ).
cnf(2812,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3) ),
inference(split_conjunct,[status(thm)],[2811]) ).
cnf(2905,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),v_da____),
inference(split_conjunct,[status(thm)],[492]) ).
cnf(3616,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(split_conjunct,[status(thm)],[738]) ).
fof(4243,plain,
! [X23,X24,X5] :
( ~ class_Orderings_Olinorder(X5)
| ( ( c_Orderings_Oord__class_Oless__eq(X5,X24,X23)
| c_Orderings_Oord__class_Oless(X5,X23,X24) )
& ( ~ c_Orderings_Oord__class_Oless(X5,X23,X24)
| ~ c_Orderings_Oord__class_Oless__eq(X5,X24,X23) ) ) ),
inference(fof_nnf,[status(thm)],[1333]) ).
fof(4244,plain,
! [X25,X26,X27] :
( ~ class_Orderings_Olinorder(X27)
| ( ( c_Orderings_Oord__class_Oless__eq(X27,X26,X25)
| c_Orderings_Oord__class_Oless(X27,X25,X26) )
& ( ~ c_Orderings_Oord__class_Oless(X27,X25,X26)
| ~ c_Orderings_Oord__class_Oless__eq(X27,X26,X25) ) ) ),
inference(variable_rename,[status(thm)],[4243]) ).
fof(4245,plain,
! [X25,X26,X27] :
( ( c_Orderings_Oord__class_Oless__eq(X27,X26,X25)
| c_Orderings_Oord__class_Oless(X27,X25,X26)
| ~ class_Orderings_Olinorder(X27) )
& ( ~ c_Orderings_Oord__class_Oless(X27,X25,X26)
| ~ c_Orderings_Oord__class_Oless__eq(X27,X26,X25)
| ~ class_Orderings_Olinorder(X27) ) ),
inference(distribute,[status(thm)],[4244]) ).
cnf(4246,plain,
( ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[4245]) ).
cnf(4929,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[1147]) ).
fof(4950,plain,
! [X4,X5] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X4)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4,X5) ),
inference(variable_rename,[status(thm)],[1155]) ).
cnf(4951,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(split_conjunct,[status(thm)],[4950]) ).
cnf(5491,negated_conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),
inference(spm,[status(thm)],[1557,4951,theory(equality)]) ).
cnf(79647,negated_conjecture,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
inference(spm,[status(thm)],[2812,5491,theory(equality)]) ).
cnf(82388,negated_conjecture,
( ~ class_Orderings_Olinorder(tc_RealDef_Oreal)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
inference(spm,[status(thm)],[4246,79647,theory(equality)]) ).
cnf(82416,negated_conjecture,
( $false
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
inference(rw,[status(thm)],[82388,4929,theory(equality)]) ).
cnf(82417,negated_conjecture,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
inference(cn,[status(thm)],[82416,theory(equality)]) ).
cnf(83109,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(spm,[status(thm)],[82417,2905,theory(equality)]) ).
cnf(83120,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(spm,[status(thm)],[83109,1477,theory(equality)]) ).
cnf(83121,plain,
$false,
inference(sr,[status(thm)],[3616,83120,theory(equality)]) ).
cnf(83122,plain,
$false,
83121,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWW/SWW215+1.p
% --creating new selector for []
% -running prover on /tmp/tmpphk2MZ/sel_SWW215+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWW215+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWW/SWW215+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWW/SWW215+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
%
%------------------------------------------------------------------------------