TSTP Solution File: ALG356-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ALG356-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n004.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 : Tue Sep 6 16:09:55 EDT 2022
% Result : Unsatisfiable 0.87s 0.93s
% Output : Proof 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 57
% Syntax : Number of formulae : 106 ( 31 unt; 14 typ; 0 def)
% Number of atoms : 431 ( 224 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 547 ( 228 ~; 277 |; 0 &)
% ( 42 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of FOOLs : 20 ( 20 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 11 >; 5 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 179 ( 161 !; 0 ?; 179 :)
% Comments :
%------------------------------------------------------------------------------
tff(c_HOL_Oone__class_Oone_type,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(tc_RealDef_Oreal_type,type,
tc_RealDef_Oreal: $i ).
tff(c_RealVector_Onorm__class_Onorm_type,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(tc_Complex_Ocomplex_type,type,
tc_Complex_Ocomplex: $i ).
tff(c_HOL_Oinverse__class_Odivide_type,type,
c_HOL_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(v_b_type,type,
v_b: $i ).
tff(c_RealVector_Oof__real_type,type,
c_RealVector_Oof__real: ( $i * $i ) > $i ).
tff(c_HOL_Ozero__class_Ozero_type,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(class_RealVector_Oreal__normed__vector_type,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(class_Ring__and__Field_Ofield_type,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(class_Ring__and__Field_Odivision__by__zero_type,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(c_HOL_Oabs__class_Oabs_type,type,
c_HOL_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(class_RealVector_Oreal__normed__algebra__1_type,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(class_RealVector_Oreal__normed__field_type,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(1,plain,
( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
<=> class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
tff(3,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( ( v_b != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
<=> ( v_b != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(rewrite,[status(thm)],]) ).
tff(5,axiom,
v_b != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_b_0) ).
tff(6,plain,
v_b != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
^ [V_x: $i,T_a: $i] :
refl(
( ( ( V_x = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) )
<=> ( ( V_x = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) )),
inference(bind,[status(th)],]) ).
tff(8,plain,
( ! [V_x: $i,T_a: $i] :
( ( V_x = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) )
<=> ! [V_x: $i,T_a: $i] :
( ( V_x = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ),
inference(quant_intro,[status(thm)],[7]) ).
tff(9,plain,
( ! [V_x: $i,T_a: $i] :
( ( V_x = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) )
<=> ! [V_x: $i,T_a: $i] :
( ( V_x = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(10,plain,
^ [V_x: $i,T_a: $i] :
rewrite(
( ( ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ( V_x = c_HOL_Ozero__class_Ozero(T_a) ) )
<=> ( ( V_x = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) )),
inference(bind,[status(th)],]) ).
tff(11,plain,
( ! [V_x: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ( V_x = c_HOL_Ozero__class_Ozero(T_a) ) )
<=> ! [V_x: $i,T_a: $i] :
( ( V_x = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,axiom,
! [V_x: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ( V_x = c_HOL_Ozero__class_Ozero(T_a) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__eq__zero_0) ).
tff(13,plain,
! [V_x: $i,T_a: $i] :
( ( V_x = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
! [V_x: $i,T_a: $i] :
( ( V_x = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
inference(modus_ponens,[status(thm)],[13,9]) ).
tff(15,plain,
! [V_x: $i,T_a: $i] :
( ( V_x = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
inference(skolemize,[status(sab)],[14]) ).
tff(16,plain,
! [V_x: $i,T_a: $i] :
( ( V_x = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
inference(modus_ponens,[status(thm)],[15,8]) ).
tff(17,plain,
( ( ~ ! [V_x: $i,T_a: $i] :
( ( V_x = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) )
| ( v_b = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| ( c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) )
<=> ( ~ ! [V_x: $i,T_a: $i] :
( ( V_x = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) )
| ( v_b = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| ( c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(18,plain,
( ~ ! [V_x: $i,T_a: $i] :
( ( V_x = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) )
| ( v_b = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| ( c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(19,plain,
( ~ ! [V_x: $i,T_a: $i] :
( ( V_x = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) )
| ( v_b = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| ( c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(unit_resolution,[status(thm)],[19,16,6,3]) ).
tff(21,plain,
( class_Ring__and__Field_Ofield(tc_RealDef_Oreal)
<=> class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
inference(rewrite,[status(thm)],]) ).
tff(22,axiom,
class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ofield) ).
tff(23,plain,
class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
inference(modus_ponens,[status(thm)],[22,21]) ).
tff(24,plain,
( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
<=> class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
inference(rewrite,[status(thm)],]) ).
tff(25,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero) ).
tff(26,plain,
class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
inference(modus_ponens,[status(thm)],[25,24]) ).
tff(27,plain,
^ [V_a: $i,T_a: $i] :
refl(
( ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) )
<=> ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) ) )),
inference(bind,[status(th)],]) ).
tff(28,plain,
( ! [V_a: $i,T_a: $i] :
( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) )
<=> ! [V_a: $i,T_a: $i] :
( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) ) ),
inference(quant_intro,[status(thm)],[27]) ).
tff(29,plain,
( ! [V_a: $i,T_a: $i] :
( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) )
<=> ! [V_a: $i,T_a: $i] :
( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(30,plain,
^ [V_a: $i,T_a: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( ~ class_Ring__and__Field_Ofield(T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a) )
<=> ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ) )),
( ( ~ class_Ring__and__Field_Ofield(T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) )
<=> ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) ) )),
rewrite(
( ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) )
<=> ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) ) )),
( ( ~ class_Ring__and__Field_Ofield(T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) )
<=> ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) ) )),
( ( ~ class_Ring__and__Field_Ofield(T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) )
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) ) )
<=> ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) )
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) ) ) )),
rewrite(
( ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) )
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) ) )
<=> ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) ) )),
( ( ~ class_Ring__and__Field_Ofield(T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) )
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) ) )
<=> ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) ) )),
inference(bind,[status(th)],]) ).
tff(31,plain,
( ! [V_a: $i,T_a: $i] :
( ~ class_Ring__and__Field_Ofield(T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) )
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) ) )
<=> ! [V_a: $i,T_a: $i] :
( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) ) ),
inference(quant_intro,[status(thm)],[30]) ).
tff(32,axiom,
! [V_a: $i,T_a: $i] :
( ~ class_Ring__and__Field_Ofield(T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) )
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__self__if_1) ).
tff(33,plain,
! [V_a: $i,T_a: $i] :
( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) ),
inference(modus_ponens,[status(thm)],[32,31]) ).
tff(34,plain,
! [V_a: $i,T_a: $i] :
( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) ),
inference(modus_ponens,[status(thm)],[33,29]) ).
tff(35,plain,
! [V_a: $i,T_a: $i] :
( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) ),
inference(skolemize,[status(sab)],[34]) ).
tff(36,plain,
! [V_a: $i,T_a: $i] :
( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) ),
inference(modus_ponens,[status(thm)],[35,28]) ).
tff(37,plain,
( ( ~ ! [V_a: $i,T_a: $i] :
( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) )
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal)
| ( c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ( c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) )
<=> ( ~ ! [V_a: $i,T_a: $i] :
( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) )
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal)
| ( c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ( c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(38,plain,
( ( ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ( c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal)
| ( c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) )
<=> ( ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal)
| ( c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ( c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(39,plain,
( ( ~ ! [V_a: $i,T_a: $i] :
( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) )
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ( c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal)
| ( c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) )
<=> ( ~ ! [V_a: $i,T_a: $i] :
( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) )
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal)
| ( c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ( c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ) ),
inference(monotonicity,[status(thm)],[38]) ).
tff(40,plain,
( ( ~ ! [V_a: $i,T_a: $i] :
( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) )
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ( c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal)
| ( c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) )
<=> ( ~ ! [V_a: $i,T_a: $i] :
( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) )
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal)
| ( c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ( c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ) ),
inference(transitivity,[status(thm)],[39,37]) ).
tff(41,plain,
( ~ ! [V_a: $i,T_a: $i] :
( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) )
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ( c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal)
| ( c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(42,plain,
( ~ ! [V_a: $i,T_a: $i] :
( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) )
| ~ class_Ring__and__Field_Ofield(T_a)
| ( c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) ) )
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal)
| ( c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ( c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ),
inference(modus_ponens,[status(thm)],[41,40]) ).
tff(43,plain,
c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
inference(unit_resolution,[status(thm)],[42,36,26,23,20]) ).
tff(44,plain,
^ [V_a: $i,T_a: $i] :
refl(
( ( ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(V_a,T_a) ) )
<=> ( ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(V_a,T_a) ) ) )),
inference(bind,[status(th)],]) ).
tff(45,plain,
( ! [V_a: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(V_a,T_a) ) )
<=> ! [V_a: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(V_a,T_a) ) ) ),
inference(quant_intro,[status(thm)],[44]) ).
tff(46,plain,
( ! [V_a: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(V_a,T_a) ) )
<=> ! [V_a: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(V_a,T_a) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(47,axiom,
! [V_a: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(V_a,T_a) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__norm__cancel_0) ).
tff(48,plain,
! [V_a: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(V_a,T_a) ) ),
inference(modus_ponens,[status(thm)],[47,46]) ).
tff(49,plain,
! [V_a: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(V_a,T_a) ) ),
inference(skolemize,[status(sab)],[48]) ).
tff(50,plain,
! [V_a: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(V_a,T_a) ) ),
inference(modus_ponens,[status(thm)],[49,45]) ).
tff(51,plain,
( ( ~ ! [V_a: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(V_a,T_a) ) )
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) ) )
<=> ( ~ ! [V_a: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(V_a,T_a) ) )
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(52,plain,
( ~ ! [V_a: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(V_a,T_a) ) )
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(53,plain,
( ~ ! [V_a: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__vector(T_a)
| ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(V_a,T_a) ) )
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) ) ),
inference(modus_ponens,[status(thm)],[52,51]) ).
tff(54,plain,
c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),
inference(unit_resolution,[status(thm)],[53,50,3]) ).
tff(55,plain,
( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)
<=> class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
inference(rewrite,[status(thm)],]) ).
tff(56,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1) ).
tff(57,plain,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
inference(modus_ponens,[status(thm)],[56,55]) ).
tff(58,plain,
^ [V_r: $i,T_a: $i] :
refl(
( ( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
| ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(V_r,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) ) )
<=> ( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
| ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(V_r,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) ) ) )),
inference(bind,[status(th)],]) ).
tff(59,plain,
( ! [V_r: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
| ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(V_r,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) ) )
<=> ! [V_r: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
| ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(V_r,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) ) ) ),
inference(quant_intro,[status(thm)],[58]) ).
tff(60,plain,
( ! [V_r: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
| ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(V_r,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) ) )
<=> ! [V_r: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
| ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(V_r,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(61,axiom,
! [V_r: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
| ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(V_r,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__of__real_0) ).
tff(62,plain,
! [V_r: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
| ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(V_r,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) ) ),
inference(modus_ponens,[status(thm)],[61,60]) ).
tff(63,plain,
! [V_r: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
| ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(V_r,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) ) ),
inference(skolemize,[status(sab)],[62]) ).
tff(64,plain,
! [V_r: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
| ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(V_r,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) ) ),
inference(modus_ponens,[status(thm)],[63,59]) ).
tff(65,plain,
( ( ~ ! [V_r: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
| ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(V_r,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) ) )
| ~ class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)
| ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) ) )
<=> ( ~ ! [V_r: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
| ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(V_r,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) ) )
| ~ class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)
| ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(66,plain,
( ~ ! [V_r: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
| ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(V_r,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) ) )
| ~ class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)
| ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(67,plain,
( ~ ! [V_r: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
| ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(V_r,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) ) )
| ~ class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)
| ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ),
inference(modus_ponens,[status(thm)],[66,65]) ).
tff(68,plain,
c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(unit_resolution,[status(thm)],[67,64,57]) ).
tff(69,plain,
c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),
inference(transitivity,[status(thm)],[68,54]) ).
tff(70,plain,
c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(monotonicity,[status(thm)],[69]) ).
tff(71,plain,
( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex)
<=> class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
inference(rewrite,[status(thm)],]) ).
tff(72,axiom,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field) ).
tff(73,plain,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
inference(modus_ponens,[status(thm)],[72,71]) ).
tff(74,plain,
^ [V_b: $i,V_a: $i,T_a: $i] :
refl(
( ( ( V_b = c_HOL_Ozero__class_Ozero(T_a) )
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__field(T_a) )
<=> ( ( V_b = c_HOL_Ozero__class_Ozero(T_a) )
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__field(T_a) ) )),
inference(bind,[status(th)],]) ).
tff(75,plain,
( ! [V_b: $i,V_a: $i,T_a: $i] :
( ( V_b = c_HOL_Ozero__class_Ozero(T_a) )
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__field(T_a) )
<=> ! [V_b: $i,V_a: $i,T_a: $i] :
( ( V_b = c_HOL_Ozero__class_Ozero(T_a) )
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__field(T_a) ) ),
inference(quant_intro,[status(thm)],[74]) ).
tff(76,plain,
( ! [V_b: $i,V_a: $i,T_a: $i] :
( ( V_b = c_HOL_Ozero__class_Ozero(T_a) )
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__field(T_a) )
<=> ! [V_b: $i,V_a: $i,T_a: $i] :
( ( V_b = c_HOL_Ozero__class_Ozero(T_a) )
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__field(T_a) ) ),
inference(rewrite,[status(thm)],]) ).
tff(77,plain,
^ [V_b: $i,V_a: $i,T_a: $i] :
rewrite(
( ( ~ class_RealVector_Oreal__normed__field(T_a)
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) )
| ( V_b = c_HOL_Ozero__class_Ozero(T_a) ) )
<=> ( ( V_b = c_HOL_Ozero__class_Ozero(T_a) )
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__field(T_a) ) )),
inference(bind,[status(th)],]) ).
tff(78,plain,
( ! [V_b: $i,V_a: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__field(T_a)
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) )
| ( V_b = c_HOL_Ozero__class_Ozero(T_a) ) )
<=> ! [V_b: $i,V_a: $i,T_a: $i] :
( ( V_b = c_HOL_Ozero__class_Ozero(T_a) )
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__field(T_a) ) ),
inference(quant_intro,[status(thm)],[77]) ).
tff(79,axiom,
! [V_b: $i,V_a: $i,T_a: $i] :
( ~ class_RealVector_Oreal__normed__field(T_a)
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) )
| ( V_b = c_HOL_Ozero__class_Ozero(T_a) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nonzero__norm__divide_0) ).
tff(80,plain,
! [V_b: $i,V_a: $i,T_a: $i] :
( ( V_b = c_HOL_Ozero__class_Ozero(T_a) )
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__field(T_a) ),
inference(modus_ponens,[status(thm)],[79,78]) ).
tff(81,plain,
! [V_b: $i,V_a: $i,T_a: $i] :
( ( V_b = c_HOL_Ozero__class_Ozero(T_a) )
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__field(T_a) ),
inference(modus_ponens,[status(thm)],[80,76]) ).
tff(82,plain,
! [V_b: $i,V_a: $i,T_a: $i] :
( ( V_b = c_HOL_Ozero__class_Ozero(T_a) )
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__field(T_a) ),
inference(skolemize,[status(sab)],[81]) ).
tff(83,plain,
! [V_b: $i,V_a: $i,T_a: $i] :
( ( V_b = c_HOL_Ozero__class_Ozero(T_a) )
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__field(T_a) ),
inference(modus_ponens,[status(thm)],[82,75]) ).
tff(84,plain,
( ( ~ ! [V_b: $i,V_a: $i,T_a: $i] :
( ( V_b = c_HOL_Ozero__class_Ozero(T_a) )
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__field(T_a) )
| ( v_b = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) )
<=> ( ~ ! [V_b: $i,V_a: $i,T_a: $i] :
( ( V_b = c_HOL_Ozero__class_Ozero(T_a) )
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__field(T_a) )
| ( v_b = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ) ),
inference(rewrite,[status(thm)],]) ).
tff(85,plain,
( ~ ! [V_b: $i,V_a: $i,T_a: $i] :
( ( V_b = c_HOL_Ozero__class_Ozero(T_a) )
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__field(T_a) )
| ( v_b = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
inference(quant_inst,[status(thm)],]) ).
tff(86,plain,
( ~ ! [V_b: $i,V_a: $i,T_a: $i] :
( ( V_b = c_HOL_Ozero__class_Ozero(T_a) )
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__field(T_a) )
| ( v_b = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) )
| ~ class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
inference(modus_ponens,[status(thm)],[85,84]) ).
tff(87,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(unit_resolution,[status(thm)],[86,6,83,73]) ).
tff(88,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
inference(transitivity,[status(thm)],[87,70,43]) ).
tff(89,plain,
( ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) )
<=> ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ),
inference(rewrite,[status(thm)],]) ).
tff(90,axiom,
c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tff(91,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
inference(modus_ponens,[status(thm)],[90,89]) ).
tff(92,plain,
$false,
inference(unit_resolution,[status(thm)],[91,88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : ALG356-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 15:56:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.87/0.93 % SZS status Unsatisfiable
% 0.87/0.93 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------