TSTP Solution File: SWW217+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWW217+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 : Sun Mar 6 15:05:47 EST 2011
% Result : Theorem 75.91s
% Output : CNFRefutation 75.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 56 ( 27 unt; 0 def)
% Number of atoms : 132 ( 25 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 132 ( 56 ~; 56 |; 6 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 77 ( 0 sgn 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(73,axiom,
! [X11,X27,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ c_Orderings_Oord__class_Oless(X5,X27,X11)
=> ( ~ c_Orderings_Oord__class_Oless(X5,X11,X27)
<=> X11 = X27 ) ) ),
file('/tmp/tmpo77oyF/sel_SWW217+1.p_2',fact_linorder__antisym__conv3) ).
fof(139,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
file('/tmp/tmpo77oyF/sel_SWW217+1.p_2',conj_0) ).
fof(373,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
file('/tmp/tmpo77oyF/sel_SWW217+1.p_2',arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra) ).
fof(452,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____),v_e),
file('/tmp/tmpo77oyF/sel_SWW217+1.p_2',fact_dme) ).
fof(492,axiom,
! [X3,X2,X4,X5] :
( class_Orderings_Oorder(X5)
=> ( c_Orderings_Oord__class_Oless(X5,X4,X2)
=> ( c_Orderings_Oord__class_Oless(X5,X3,X4)
=> c_Orderings_Oord__class_Oless(X5,X3,X2) ) ) ),
file('/tmp/tmpo77oyF/sel_SWW217+1.p_2',fact_xt1_I10_J) ).
fof(627,axiom,
! [X4,X2,X5] :
( class_RealVector_Oreal__normed__div__algebra(X5)
=> c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X2),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X2)),c_RealVector_Onorm__class_Onorm(X5,X4)) ),
file('/tmp/tmpo77oyF/sel_SWW217+1.p_2',fact_norm__mult) ).
fof(667,axiom,
! [X1,X3] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X3),
file('/tmp/tmpo77oyF/sel_SWW217+1.p_2',fact_real__mult__commute) ).
fof(785,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
file('/tmp/tmpo77oyF/sel_SWW217+1.p_2',fact__096cmod_A_Iw_A_N_Az_J_A_K_Acmod_A_Ipoly_Acs_A_Iw_A_N_Az_J_J_A_060_061_Ad_A_K_Am_096) ).
fof(920,axiom,
! [X27,X11,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ c_Orderings_Oord__class_Oless__eq(X5,X11,X27)
<=> c_Orderings_Oord__class_Oless(X5,X27,X11) ) ),
file('/tmp/tmpo77oyF/sel_SWW217+1.p_2',fact_linorder__not__le) ).
fof(1099,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/tmp/tmpo77oyF/sel_SWW217+1.p_2',arity_RealDef__Oreal__Orderings_Oorder) ).
fof(1139,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/tmp/tmpo77oyF/sel_SWW217+1.p_2',arity_RealDef__Oreal__Orderings_Olinorder) ).
fof(1261,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(assume_negation,[status(cth)],[139]) ).
fof(1266,plain,
! [X11,X27,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ c_Orderings_Oord__class_Oless(X5,X27,X11)
=> ( ~ c_Orderings_Oord__class_Oless(X5,X11,X27)
<=> X11 = X27 ) ) ),
inference(fof_simplification,[status(thm)],[73,theory(equality)]) ).
fof(1273,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(fof_simplification,[status(thm)],[1261,theory(equality)]) ).
fof(1307,plain,
! [X27,X11,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ c_Orderings_Oord__class_Oless__eq(X5,X11,X27)
<=> c_Orderings_Oord__class_Oless(X5,X27,X11) ) ),
inference(fof_simplification,[status(thm)],[920,theory(equality)]) ).
fof(1542,plain,
! [X11,X27,X5] :
( ~ class_Orderings_Olinorder(X5)
| c_Orderings_Oord__class_Oless(X5,X27,X11)
| ( ( c_Orderings_Oord__class_Oless(X5,X11,X27)
| X11 = X27 )
& ( X11 != X27
| ~ c_Orderings_Oord__class_Oless(X5,X11,X27) ) ) ),
inference(fof_nnf,[status(thm)],[1266]) ).
fof(1543,plain,
! [X28,X29,X30] :
( ~ class_Orderings_Olinorder(X30)
| c_Orderings_Oord__class_Oless(X30,X29,X28)
| ( ( c_Orderings_Oord__class_Oless(X30,X28,X29)
| X28 = X29 )
& ( X28 != X29
| ~ c_Orderings_Oord__class_Oless(X30,X28,X29) ) ) ),
inference(variable_rename,[status(thm)],[1542]) ).
fof(1544,plain,
! [X28,X29,X30] :
( ( c_Orderings_Oord__class_Oless(X30,X28,X29)
| X28 = X29
| c_Orderings_Oord__class_Oless(X30,X29,X28)
| ~ class_Orderings_Olinorder(X30) )
& ( X28 != X29
| ~ c_Orderings_Oord__class_Oless(X30,X28,X29)
| c_Orderings_Oord__class_Oless(X30,X29,X28)
| ~ class_Orderings_Olinorder(X30) ) ),
inference(distribute,[status(thm)],[1543]) ).
cnf(1546,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[1544]) ).
cnf(1748,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(split_conjunct,[status(thm)],[1273]) ).
cnf(2507,plain,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[373]) ).
cnf(2738,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____),v_e),
inference(split_conjunct,[status(thm)],[452]) ).
fof(2839,plain,
! [X3,X2,X4,X5] :
( ~ class_Orderings_Oorder(X5)
| ~ c_Orderings_Oord__class_Oless(X5,X4,X2)
| ~ c_Orderings_Oord__class_Oless(X5,X3,X4)
| c_Orderings_Oord__class_Oless(X5,X3,X2) ),
inference(fof_nnf,[status(thm)],[492]) ).
fof(2840,plain,
! [X6,X7,X8,X9] :
( ~ class_Orderings_Oorder(X9)
| ~ c_Orderings_Oord__class_Oless(X9,X8,X7)
| ~ c_Orderings_Oord__class_Oless(X9,X6,X8)
| c_Orderings_Oord__class_Oless(X9,X6,X7) ),
inference(variable_rename,[status(thm)],[2839]) ).
cnf(2841,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[2840]) ).
fof(3224,plain,
! [X4,X2,X5] :
( ~ class_RealVector_Oreal__normed__div__algebra(X5)
| c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X2),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X2)),c_RealVector_Onorm__class_Onorm(X5,X4)) ),
inference(fof_nnf,[status(thm)],[627]) ).
fof(3225,plain,
! [X6,X7,X8] :
( ~ class_RealVector_Oreal__normed__div__algebra(X8)
| c_RealVector_Onorm__class_Onorm(X8,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X8),X7),X6)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X8,X7)),c_RealVector_Onorm__class_Onorm(X8,X6)) ),
inference(variable_rename,[status(thm)],[3224]) ).
cnf(3226,plain,
( c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2)),c_RealVector_Onorm__class_Onorm(X1,X3))
| ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
inference(split_conjunct,[status(thm)],[3225]) ).
fof(3365,plain,
! [X4,X5] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X5),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4),X5),
inference(variable_rename,[status(thm)],[667]) ).
cnf(3366,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),
inference(split_conjunct,[status(thm)],[3365]) ).
cnf(3708,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
inference(split_conjunct,[status(thm)],[785]) ).
fof(4155,plain,
! [X27,X11,X5] :
( ~ class_Orderings_Olinorder(X5)
| ( ( c_Orderings_Oord__class_Oless__eq(X5,X11,X27)
| c_Orderings_Oord__class_Oless(X5,X27,X11) )
& ( ~ c_Orderings_Oord__class_Oless(X5,X27,X11)
| ~ c_Orderings_Oord__class_Oless__eq(X5,X11,X27) ) ) ),
inference(fof_nnf,[status(thm)],[1307]) ).
fof(4156,plain,
! [X28,X29,X30] :
( ~ class_Orderings_Olinorder(X30)
| ( ( c_Orderings_Oord__class_Oless__eq(X30,X29,X28)
| c_Orderings_Oord__class_Oless(X30,X28,X29) )
& ( ~ c_Orderings_Oord__class_Oless(X30,X28,X29)
| ~ c_Orderings_Oord__class_Oless__eq(X30,X29,X28) ) ) ),
inference(variable_rename,[status(thm)],[4155]) ).
fof(4157,plain,
! [X28,X29,X30] :
( ( c_Orderings_Oord__class_Oless__eq(X30,X29,X28)
| c_Orderings_Oord__class_Oless(X30,X28,X29)
| ~ class_Orderings_Olinorder(X30) )
& ( ~ c_Orderings_Oord__class_Oless(X30,X28,X29)
| ~ c_Orderings_Oord__class_Oless__eq(X30,X29,X28)
| ~ class_Orderings_Olinorder(X30) ) ),
inference(distribute,[status(thm)],[4156]) ).
cnf(4158,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)],[4157]) ).
cnf(4707,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[1099]) ).
cnf(4831,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[1139]) ).
cnf(5452,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)),
inference(rw,[status(thm)],[3708,3366,theory(equality)]) ).
cnf(5455,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____),v_e),
inference(rw,[status(thm)],[2738,3366,theory(equality)]) ).
cnf(11005,plain,
( X1 = X2
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1) ),
inference(spm,[status(thm)],[1546,4831,theory(equality)]) ).
cnf(11509,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),X2)),
inference(spm,[status(thm)],[3226,2507,theory(equality)]) ).
cnf(86963,plain,
( ~ class_Orderings_Olinorder(tc_RealDef_Oreal)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))))) ),
inference(spm,[status(thm)],[4158,5452,theory(equality)]) ).
cnf(86978,plain,
( $false
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))))) ),
inference(rw,[status(thm)],[86963,4831,theory(equality)]) ).
cnf(86979,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))))),
inference(cn,[status(thm)],[86978,theory(equality)]) ).
cnf(96526,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))))),
inference(rw,[status(thm)],[86979,11509,theory(equality)]) ).
cnf(96527,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(rw,[status(thm)],[1748,11509,theory(equality)]) ).
cnf(303475,negated_conjecture,
( v_e = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))))) ),
inference(spm,[status(thm)],[96527,11005,theory(equality)]) ).
cnf(304720,negated_conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))))
| c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = v_e
| ~ class_Orderings_Oorder(tc_RealDef_Oreal)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,v_e) ),
inference(spm,[status(thm)],[2841,303475,theory(equality)]) ).
cnf(304754,negated_conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))))
| c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = v_e
| $false
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,v_e) ),
inference(rw,[status(thm)],[304720,4707,theory(equality)]) ).
cnf(304755,negated_conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))))
| c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = v_e
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,v_e) ),
inference(cn,[status(thm)],[304754,theory(equality)]) ).
cnf(307218,negated_conjecture,
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = v_e
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____),v_e) ),
inference(spm,[status(thm)],[96526,304755,theory(equality)]) ).
cnf(307381,negated_conjecture,
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = v_e
| $false ),
inference(rw,[status(thm)],[307218,5455,theory(equality)]) ).
cnf(307382,negated_conjecture,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = v_e,
inference(cn,[status(thm)],[307381,theory(equality)]) ).
cnf(307775,plain,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[96526,307382,theory(equality)]),5455,theory(equality)]) ).
cnf(307776,plain,
$false,
inference(cn,[status(thm)],[307775,theory(equality)]) ).
cnf(307777,plain,
$false,
307776,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWW/SWW217+1.p
% --creating new selector for []
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpo77oyF/sel_SWW217+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpo77oyF/sel_SWW217+1.p_2 with time limit 81
% -prover status Theorem
% Problem SWW217+1.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWW/SWW217+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWW/SWW217+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
%
%------------------------------------------------------------------------------