TSTP Solution File: SWW254+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW254+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 : 600s
% DateTime : Thu Jul 21 00:10:24 EDT 2022
% Result : Theorem 0.35s 1.52s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 127 ( 12 equ)
% Maximal formula atoms : 62 ( 4 avg)
% Number of connectives : 162 ( 65 ~; 71 |; 16 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 29 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_0) ).
fof(fact_divide__less__eq,axiom,
! [X8,X33,X9,X6] :
( class_Fields_Olinordered__field__inverse__zero(X6)
=> ( c_Orderings_Oord__class_Oless(X6,c_Rings_Oinverse__class_Odivide(X6,X9,X33),X8)
<=> ( ( c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),X33)
=> c_Orderings_Oord__class_Oless(X6,X9,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X33)) )
& ( ~ c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),X33)
=> ( ( c_Orderings_Oord__class_Oless(X6,X33,c_Groups_Ozero__class_Ozero(X6))
=> c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X33),X9) )
& ( ~ c_Orderings_Oord__class_Oless(X6,X33,c_Groups_Ozero__class_Ozero(X6))
=> c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),X8) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_divide__less__eq) ).
fof(fact_pqc0,axiom,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_pqc0) ).
fof(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero) ).
fof(fact_real__mult__1,axiom,
! [X19] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X19) = X19,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__mult__1) ).
fof(fact_zero__less__norm__iff,axiom,
! [X7,X6] :
( class_RealVector_Oreal__normed__vector(X6)
=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X7))
<=> X7 != c_Groups_Ozero__class_Ozero(X6) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_zero__less__norm__iff) ).
fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(fact_pc0,axiom,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_pc0) ).
fof(c_0_8,negated_conjecture,
~ ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_9,negated_conjecture,
( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) )
& ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) ) ),
inference(fof_nnf,[status(thm)],[c_0_8]) ).
fof(c_0_10,plain,
! [X34,X35,X36,X37] :
( ( ~ c_Orderings_Oord__class_Oless(X37,c_Groups_Ozero__class_Ozero(X37),X35)
| c_Orderings_Oord__class_Oless(X37,X36,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X37),X34),X35))
| ~ c_Orderings_Oord__class_Oless(X37,c_Rings_Oinverse__class_Odivide(X37,X36,X35),X34)
| ~ class_Fields_Olinordered__field__inverse__zero(X37) )
& ( ~ c_Orderings_Oord__class_Oless(X37,X35,c_Groups_Ozero__class_Ozero(X37))
| c_Orderings_Oord__class_Oless(X37,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X37),X34),X35),X36)
| c_Orderings_Oord__class_Oless(X37,c_Groups_Ozero__class_Ozero(X37),X35)
| ~ c_Orderings_Oord__class_Oless(X37,c_Rings_Oinverse__class_Odivide(X37,X36,X35),X34)
| ~ class_Fields_Olinordered__field__inverse__zero(X37) )
& ( c_Orderings_Oord__class_Oless(X37,X35,c_Groups_Ozero__class_Ozero(X37))
| c_Orderings_Oord__class_Oless(X37,c_Groups_Ozero__class_Ozero(X37),X34)
| c_Orderings_Oord__class_Oless(X37,c_Groups_Ozero__class_Ozero(X37),X35)
| ~ c_Orderings_Oord__class_Oless(X37,c_Rings_Oinverse__class_Odivide(X37,X36,X35),X34)
| ~ class_Fields_Olinordered__field__inverse__zero(X37) )
& ( ~ c_Orderings_Oord__class_Oless(X37,c_Groups_Ozero__class_Ozero(X37),X35)
| c_Orderings_Oord__class_Oless(X37,c_Groups_Ozero__class_Ozero(X37),X35)
| c_Orderings_Oord__class_Oless(X37,c_Rings_Oinverse__class_Odivide(X37,X36,X35),X34)
| ~ class_Fields_Olinordered__field__inverse__zero(X37) )
& ( ~ c_Orderings_Oord__class_Oless(X37,X35,c_Groups_Ozero__class_Ozero(X37))
| c_Orderings_Oord__class_Oless(X37,X35,c_Groups_Ozero__class_Ozero(X37))
| c_Orderings_Oord__class_Oless(X37,c_Groups_Ozero__class_Ozero(X37),X35)
| c_Orderings_Oord__class_Oless(X37,c_Rings_Oinverse__class_Odivide(X37,X36,X35),X34)
| ~ class_Fields_Olinordered__field__inverse__zero(X37) )
& ( ~ c_Orderings_Oord__class_Oless(X37,c_Groups_Ozero__class_Ozero(X37),X34)
| c_Orderings_Oord__class_Oless(X37,X35,c_Groups_Ozero__class_Ozero(X37))
| c_Orderings_Oord__class_Oless(X37,c_Groups_Ozero__class_Ozero(X37),X35)
| c_Orderings_Oord__class_Oless(X37,c_Rings_Oinverse__class_Odivide(X37,X36,X35),X34)
| ~ class_Fields_Olinordered__field__inverse__zero(X37) )
& ( ~ c_Orderings_Oord__class_Oless(X37,X35,c_Groups_Ozero__class_Ozero(X37))
| ~ c_Orderings_Oord__class_Oless(X37,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X37),X34),X35),X36)
| c_Orderings_Oord__class_Oless(X37,c_Groups_Ozero__class_Ozero(X37),X35)
| c_Orderings_Oord__class_Oless(X37,c_Rings_Oinverse__class_Odivide(X37,X36,X35),X34)
| ~ class_Fields_Olinordered__field__inverse__zero(X37) )
& ( ~ c_Orderings_Oord__class_Oless(X37,c_Groups_Ozero__class_Ozero(X37),X34)
| ~ c_Orderings_Oord__class_Oless(X37,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X37),X34),X35),X36)
| c_Orderings_Oord__class_Oless(X37,c_Groups_Ozero__class_Ozero(X37),X35)
| c_Orderings_Oord__class_Oless(X37,c_Rings_Oinverse__class_Odivide(X37,X36,X35),X34)
| ~ class_Fields_Olinordered__field__inverse__zero(X37) )
& ( ~ c_Orderings_Oord__class_Oless(X37,c_Groups_Ozero__class_Ozero(X37),X35)
| ~ c_Orderings_Oord__class_Oless(X37,X36,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X37),X34),X35))
| c_Orderings_Oord__class_Oless(X37,c_Rings_Oinverse__class_Odivide(X37,X36,X35),X34)
| ~ class_Fields_Olinordered__field__inverse__zero(X37) )
& ( ~ c_Orderings_Oord__class_Oless(X37,X35,c_Groups_Ozero__class_Ozero(X37))
| c_Orderings_Oord__class_Oless(X37,X35,c_Groups_Ozero__class_Ozero(X37))
| ~ c_Orderings_Oord__class_Oless(X37,X36,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X37),X34),X35))
| c_Orderings_Oord__class_Oless(X37,c_Rings_Oinverse__class_Odivide(X37,X36,X35),X34)
| ~ class_Fields_Olinordered__field__inverse__zero(X37) )
& ( ~ c_Orderings_Oord__class_Oless(X37,c_Groups_Ozero__class_Ozero(X37),X34)
| c_Orderings_Oord__class_Oless(X37,X35,c_Groups_Ozero__class_Ozero(X37))
| ~ c_Orderings_Oord__class_Oless(X37,X36,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X37),X34),X35))
| c_Orderings_Oord__class_Oless(X37,c_Rings_Oinverse__class_Odivide(X37,X36,X35),X34)
| ~ class_Fields_Olinordered__field__inverse__zero(X37) )
& ( ~ c_Orderings_Oord__class_Oless(X37,X35,c_Groups_Ozero__class_Ozero(X37))
| ~ c_Orderings_Oord__class_Oless(X37,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X37),X34),X35),X36)
| ~ c_Orderings_Oord__class_Oless(X37,X36,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X37),X34),X35))
| c_Orderings_Oord__class_Oless(X37,c_Rings_Oinverse__class_Odivide(X37,X36,X35),X34)
| ~ class_Fields_Olinordered__field__inverse__zero(X37) )
& ( ~ c_Orderings_Oord__class_Oless(X37,c_Groups_Ozero__class_Ozero(X37),X34)
| ~ c_Orderings_Oord__class_Oless(X37,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X37),X34),X35),X36)
| ~ c_Orderings_Oord__class_Oless(X37,X36,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X37),X34),X35))
| c_Orderings_Oord__class_Oless(X37,c_Rings_Oinverse__class_Odivide(X37,X36,X35),X34)
| ~ class_Fields_Olinordered__field__inverse__zero(X37) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_divide__less__eq])])])]) ).
cnf(c_0_11,negated_conjecture,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
inference(split_conjunct,[status(thm)],[fact_pqc0]) ).
cnf(c_0_13,plain,
( c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),X4)
| ~ class_Fields_Olinordered__field__inverse__zero(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero]) ).
fof(c_0_15,plain,
! [X20] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X20) = X20,
inference(variable_rename,[status(thm)],[fact_real__mult__1]) ).
cnf(c_0_16,negated_conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_12]) ).
cnf(c_0_18,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X2),X3)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X2))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_20,plain,
! [X8,X9] :
( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X9,X8))
| X8 != c_Groups_Ozero__class_Ozero(X9)
| ~ class_RealVector_Oreal__normed__vector(X9) )
& ( X8 = c_Groups_Ozero__class_Ozero(X9)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X9,X8))
| ~ class_RealVector_Oreal__normed__vector(X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__norm__iff])])]) ).
cnf(c_0_21,plain,
( c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))
| ~ class_Fields_Olinordered__field__inverse__zero(X1)
| ~ c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),X4)
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,negated_conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_12]),c_0_12]) ).
cnf(c_0_23,negated_conjecture,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_24,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2))
| X2 = c_Groups_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
cnf(c_0_26,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_19]),c_0_14])]),c_0_23]) ).
cnf(c_0_27,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[fact_pc0]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW254+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 5 10:38:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.35/1.52 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.35/1.52 # Preprocessing time : 0.137 s
% 0.35/1.52
% 0.35/1.52 # Proof found!
% 0.35/1.52 # SZS status Theorem
% 0.35/1.52 # SZS output start CNFRefutation
% See solution above
% 0.35/1.52 # Proof object total steps : 30
% 0.35/1.52 # Proof object clause steps : 17
% 0.35/1.52 # Proof object formula steps : 13
% 0.35/1.52 # Proof object conjectures : 10
% 0.35/1.52 # Proof object clause conjectures : 7
% 0.35/1.52 # Proof object formula conjectures : 3
% 0.35/1.52 # Proof object initial clauses used : 10
% 0.35/1.52 # Proof object initial formulas used : 8
% 0.35/1.52 # Proof object generating inferences : 5
% 0.35/1.52 # Proof object simplifying inferences : 11
% 0.35/1.52 # Training examples: 0 positive, 0 negative
% 0.35/1.52 # Parsed axioms : 1245
% 0.35/1.52 # Removed by relevancy pruning/SinE : 0
% 0.35/1.52 # Initial clauses : 1805
% 0.35/1.52 # Removed in clause preprocessing : 83
% 0.35/1.52 # Initial clauses in saturation : 1722
% 0.35/1.53 # Processed clauses : 2937
% 0.35/1.53 # ...of these trivial : 80
% 0.35/1.53 # ...subsumed : 966
% 0.35/1.53 # ...remaining for further processing : 1891
% 0.35/1.53 # Other redundant clauses eliminated : 246
% 0.35/1.53 # Clauses deleted for lack of memory : 0
% 0.35/1.53 # Backward-subsumed : 6
% 0.35/1.53 # Backward-rewritten : 18
% 0.35/1.53 # Generated clauses : 43318
% 0.35/1.53 # ...of the previous two non-trivial : 39435
% 0.35/1.53 # Contextual simplify-reflections : 88
% 0.35/1.53 # Paramodulations : 43009
% 0.35/1.53 # Factorizations : 11
% 0.35/1.53 # Equation resolutions : 298
% 0.35/1.53 # Current number of processed clauses : 1834
% 0.35/1.53 # Positive orientable unit clauses : 359
% 0.35/1.53 # Positive unorientable unit clauses: 8
% 0.35/1.53 # Negative unit clauses : 66
% 0.35/1.53 # Non-unit-clauses : 1401
% 0.35/1.53 # Current number of unprocessed clauses: 37708
% 0.35/1.53 # ...number of literals in the above : 136361
% 0.35/1.53 # Current number of archived formulas : 0
% 0.35/1.53 # Current number of archived clauses : 24
% 0.35/1.53 # Clause-clause subsumption calls (NU) : 230289
% 0.35/1.53 # Rec. Clause-clause subsumption calls : 129665
% 0.35/1.53 # Non-unit clause-clause subsumptions : 480
% 0.35/1.53 # Unit Clause-clause subsumption calls : 8770
% 0.35/1.53 # Rewrite failures with RHS unbound : 0
% 0.35/1.53 # BW rewrite match attempts : 905
% 0.35/1.53 # BW rewrite match successes : 111
% 0.35/1.53 # Condensation attempts : 0
% 0.35/1.53 # Condensation successes : 0
% 0.35/1.53 # Termbank termtop insertions : 1081571
% 0.35/1.53
% 0.35/1.53 # -------------------------------------------------
% 0.35/1.53 # User time : 0.755 s
% 0.35/1.53 # System time : 0.023 s
% 0.35/1.53 # Total time : 0.778 s
% 0.35/1.53 # Maximum resident set size: 46112 pages
% 0.35/23.52 eprover: CPU time limit exceeded, terminating
% 0.35/23.52 eprover: CPU time limit exceeded, terminating
% 0.35/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.53 eprover: No such file or directory
% 0.35/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/23.54 eprover: No such file or directory
% 0.35/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.54 eprover: No such file or directory
% 0.35/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/23.54 eprover: No such file or directory
% 0.35/23.54 eprover: CPU time limit exceeded, terminating
% 0.35/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.55 eprover: No such file or directory
% 0.35/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/23.55 eprover: No such file or directory
% 0.35/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.55 eprover: No such file or directory
% 0.35/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/23.55 eprover: No such file or directory
% 0.35/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.56 eprover: No such file or directory
% 0.35/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/23.56 eprover: No such file or directory
% 0.35/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.56 eprover: No such file or directory
% 0.35/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.56 eprover: No such file or directory
% 0.35/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/23.56 eprover: No such file or directory
% 0.35/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.56 eprover: No such file or directory
% 0.35/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.57 eprover: No such file or directory
% 0.35/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/23.57 eprover: No such file or directory
% 0.35/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.57 eprover: No such file or directory
% 0.35/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.57 eprover: No such file or directory
% 0.35/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/23.57 eprover: No such file or directory
% 0.35/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.57 eprover: No such file or directory
% 0.35/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.58 eprover: No such file or directory
% 0.35/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/23.58 eprover: No such file or directory
% 0.35/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.58 eprover: No such file or directory
% 0.35/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.58 eprover: No such file or directory
% 0.35/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.58 eprover: No such file or directory
% 0.35/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/23.58 eprover: No such file or directory
% 0.35/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.59 eprover: No such file or directory
% 0.35/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/23.59 eprover: No such file or directory
% 0.35/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.59 eprover: No such file or directory
% 0.35/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.59 eprover: No such file or directory
% 0.35/23.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.60 eprover: No such file or directory
% 0.35/23.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.60 eprover: No such file or directory
% 0.35/23.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.60 eprover: No such file or directory
%------------------------------------------------------------------------------