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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW254+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:39:42 PM UTC 2026

% Result   : Theorem 22.53s 6.43s
% Output   : Refutation 22.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  113 (  27 unt;   7 def)
%            Number of atoms       :  261 (  23 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  249 ( 101   ~; 120   |;   0   &)
%                                         (  16 <=>;  11  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   14 (  12 usr;   8 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-3 aty)
%            Number of variables   :   88 (   0 sgn  88   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f40,axiom,
    hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pc0) ).

fof(f42,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/sandbox/benchmark/theBenchmark.p',fact_pqc0) ).

fof(f59,axiom,
    ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__refl) ).

fof(f109,axiom,
    ! [X0,X1] :
      ( class_RealVector_Oreal__normed__vector(X1)
     => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__ge__zero) ).

fof(f122,axiom,
    ! [X0,X1] :
      ( class_RealVector_Oreal__normed__vector(X1)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
      <=> X0 = c_Groups_Ozero__class_Ozero(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__le__zero__iff) ).

fof(f135,axiom,
    ! [X0,X1,X2] :
      ( class_Orderings_Olinorder(X2)
     => ( ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
      <=> c_Orderings_Oord__class_Oless__eq(X2,X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__not__less) ).

fof(f330,axiom,
    ! [X0,X1,X2,X3] :
      ( class_Fields_Olinordered__field(X3)
     => ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
       => ( c_Orderings_Oord__class_Oless(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2))
         => c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__imp__div__pos__less) ).

fof(f331,axiom,
    ! [X0,X1,X2,X3] :
      ( class_Fields_Olinordered__field(X3)
     => ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
       => ( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
        <=> c_Orderings_Oord__class_Oless(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pos__divide__less__eq) ).

fof(f355,axiom,
    ! [X0,X1,X2] :
      ( class_Orderings_Olinorder(X2)
     => ( ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
       => ( X1 != X0
         => c_Orderings_Oord__class_Oless(X2,X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__cases) ).

fof(f427,axiom,
    ! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__1) ).

fof(f1126,axiom,
    class_Fields_Olinordered__field(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Olinordered__field) ).

fof(f1139,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Olinorder) ).

fof(f1164,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).

fof(f1245,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/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f1246,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(negated_conjecture,[status(cth)],[f1245]) ).

fof(f1376,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
      | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(ennf_transformation,[],[f109]) ).

fof(f1398,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
      <=> X0 = c_Groups_Ozero__class_Ozero(X1) )
      | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(ennf_transformation,[],[f122]) ).

fof(f1409,plain,
    ! [X0,X1,X2] :
      ( ( ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
      <=> c_Orderings_Oord__class_Oless__eq(X2,X0,X1) )
      | ~ class_Orderings_Olinorder(X2) ),
    inference(ennf_transformation,[],[f135]) ).

fof(f1705,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
      | ~ c_Orderings_Oord__class_Oless(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2))
      | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
      | ~ class_Fields_Olinordered__field(X3) ),
    inference(ennf_transformation,[],[f330]) ).

fof(f1706,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
      | ~ c_Orderings_Oord__class_Oless(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2))
      | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
      | ~ class_Fields_Olinordered__field(X3) ),
    inference(flattening,[],[f1705]) ).

fof(f1707,plain,
    ! [X0,X1,X2,X3] :
      ( ( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
      <=> c_Orderings_Oord__class_Oless(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2)) )
      | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
      | ~ class_Fields_Olinordered__field(X3) ),
    inference(ennf_transformation,[],[f331]) ).

fof(f1708,plain,
    ! [X0,X1,X2,X3] :
      ( ( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
      <=> c_Orderings_Oord__class_Oless(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2)) )
      | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
      | ~ class_Fields_Olinordered__field(X3) ),
    inference(flattening,[],[f1707]) ).

fof(f1750,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless(X2,X0,X1)
      | X0 = X1
      | c_Orderings_Oord__class_Oless(X2,X1,X0)
      | ~ class_Orderings_Olinorder(X2) ),
    inference(ennf_transformation,[],[f355]) ).

fof(f1751,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless(X2,X0,X1)
      | X0 = X1
      | c_Orderings_Oord__class_Oless(X2,X1,X0)
      | ~ class_Orderings_Olinorder(X2) ),
    inference(flattening,[],[f1750]) ).

fof(f2512,plain,
    ( 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(ennf_transformation,[],[f1246]) ).

fof(f2569,plain,
    c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____),
    inference(cnf_transformation,[],[f40]) ).

fof(f2571,plain,
    hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____),
    inference(cnf_transformation,[],[f42]) ).

fof(f2591,plain,
    ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0),
    inference(cnf_transformation,[],[f59]) ).

fof(f2676,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
      | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(cnf_transformation,[],[f1376]) ).

fof(f2694,plain,
    ! [X0,X1] :
      ( ~ class_RealVector_Oreal__normed__vector(X1)
      | c_Groups_Ozero__class_Ozero(X1) = X0
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(cnf_transformation,[],[f1398]) ).

fof(f2710,plain,
    ! [X2,X0,X1] :
      ( ~ class_Orderings_Olinorder(X2)
      | ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
      | ~ c_Orderings_Oord__class_Oless(X2,X1,X0) ),
    inference(cnf_transformation,[],[f1409]) ).

fof(f2966,plain,
    ! [X2,X3,X0,X1] :
      ( ~ class_Fields_Olinordered__field(X3)
      | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
      | ~ c_Orderings_Oord__class_Oless(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2))
      | c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0) ),
    inference(cnf_transformation,[],[f1706]) ).

fof(f2968,plain,
    ! [X2,X3,X0,X1] :
      ( ~ class_Fields_Olinordered__field(X3)
      | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
      | c_Orderings_Oord__class_Oless(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2))
      | ~ c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0) ),
    inference(cnf_transformation,[],[f1708]) ).

fof(f3014,plain,
    ! [X2,X0,X1] :
      ( ~ class_Orderings_Olinorder(X2)
      | c_Orderings_Oord__class_Oless(X2,X1,X0)
      | X0 = X1
      | c_Orderings_Oord__class_Oless(X2,X0,X1) ),
    inference(cnf_transformation,[],[f1751]) ).

fof(f3135,plain,
    ! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0) = X0,
    inference(cnf_transformation,[],[f427]) ).

fof(f4110,plain,
    class_Fields_Olinordered__field(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1126]) ).

fof(f4123,plain,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1139]) ).

fof(f4148,plain,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    inference(cnf_transformation,[],[f1164]) ).

fof(f4229,plain,
    ( 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(cnf_transformation,[],[f2512]) ).

fof(f4230,plain,
    ( ~ 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(cnf_transformation,[],[f2512]) ).

fof(f4544,plain,
    ! [X2,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
      | class_Orderings_Olinorder(X2)
      | c_Orderings_Oord__class_Oless(X2,X1,X0) ),
    inference(consistent_polarity_flipping,[],[f2710]) ).

fof(f4745,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
      | c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
      | c_Orderings_Oord__class_Oless(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2))
      | class_Fields_Olinordered__field(X3) ),
    inference(consistent_polarity_flipping,[],[f2966]) ).

fof(f4746,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2))
      | c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
      | class_Fields_Olinordered__field(X3)
      | c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0) ),
    inference(consistent_polarity_flipping,[],[f2968]) ).

fof(f4792,plain,
    ! [X2,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
      | ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
      | X0 = X1
      | class_Orderings_Olinorder(X2) ),
    inference(consistent_polarity_flipping,[],[f3014]) ).

fof(f5465,plain,
    ~ class_Fields_Olinordered__field(tc_RealDef_Oreal),
    inference(consistent_polarity_flipping,[],[f4110]) ).

fof(f5471,plain,
    ~ class_Orderings_Olinorder(tc_RealDef_Oreal),
    inference(consistent_polarity_flipping,[],[f4123]) ).

fof(f5545,plain,
    ( 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(consistent_polarity_flipping,[],[f4230]) ).

fof(f5546,plain,
    ( ~ 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(consistent_polarity_flipping,[],[f4229]) ).

fof(f5550,definition,
    ( spl60_1
  <=> 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)) ),
    introduced(definition,[new_symbols(definition,[spl60_1])],[avatar_definition]) ).

fof(f5551,plain,
    ( 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))
    | ~ spl60_1 ),
    inference(avatar_component_clause,[],[f5550]) ).

fof(f5552,plain,
    ( ~ 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))
    | spl60_1 ),
    inference(avatar_component_clause,[],[f5550]) ).

fof(f5554,definition,
    ( spl60_2
  <=> 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)))) ),
    introduced(definition,[new_symbols(definition,[spl60_2])],[avatar_definition]) ).

fof(f5555,plain,
    ( 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))))
    | ~ spl60_2 ),
    inference(avatar_component_clause,[],[f5554]) ).

fof(f5556,plain,
    ( ~ 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))))
    | spl60_2 ),
    inference(avatar_component_clause,[],[f5554]) ).

fof(f5557,plain,
    ( ~ spl60_1
    | ~ spl60_2 ),
    inference(avatar_split_clause,[],[f5546,f5554,f5550]) ).

fof(f5558,plain,
    ( spl60_1
    | spl60_2 ),
    inference(avatar_split_clause,[],[f5545,f5554,f5550]) ).

fof(f5583,definition,
    ( spl60_8
  <=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) ),
    introduced(definition,[new_symbols(definition,[spl60_8])],[avatar_definition]) ).

fof(f5585,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)
    | spl60_8 ),
    inference(avatar_component_clause,[],[f5583]) ).

fof(f5587,plain,
    ~ spl60_8,
    inference(avatar_split_clause,[],[f2569,f5583]) ).

fof(f7570,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
      | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
    inference(resolution,[],[f2694,f4148]) ).

fof(f9184,definition,
    ( spl60_33
  <=> 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____))) ),
    introduced(definition,[new_symbols(definition,[spl60_33])],[avatar_definition]) ).

fof(f9185,plain,
    ( ~ 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____)))
    | spl60_33 ),
    inference(avatar_component_clause,[],[f9184]) ).

fof(f9192,plain,
    ( 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))
    | ~ spl60_1 ),
    inference(forward_demodulation,[],[f5551,f2571]) ).

fof(f9193,plain,
    ( ~ 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____)))
    | spl60_2 ),
    inference(forward_demodulation,[],[f5556,f2571]) ).

fof(f9609,plain,
    ( ~ 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))
    | spl60_1 ),
    inference(forward_demodulation,[],[f5552,f2571]) ).

fof(f9612,plain,
    ( 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____)))
    | ~ spl60_2 ),
    inference(forward_demodulation,[],[f5555,f2571]) ).

fof(f9636,definition,
    ( spl60_37
  <=> 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____)) ),
    introduced(definition,[new_symbols(definition,[spl60_37])],[avatar_definition]) ).

fof(f9638,plain,
    ( 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____))
    | ~ spl60_37 ),
    inference(avatar_component_clause,[],[f9636]) ).

fof(f9640,definition,
    ( spl60_38
  <=> c_Orderings_Oord__class_Oless__eq(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____))) ),
    introduced(definition,[new_symbols(definition,[spl60_38])],[avatar_definition]) ).

fof(f9641,plain,
    ( c_Orderings_Oord__class_Oless__eq(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____)))
    | ~ spl60_38 ),
    inference(avatar_component_clause,[],[f9640]) ).

fof(f9642,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(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____)))
    | spl60_38 ),
    inference(avatar_component_clause,[],[f9640]) ).

fof(f9648,definition,
    ( spl60_39
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    introduced(definition,[new_symbols(definition,[spl60_39])],[avatar_definition]) ).

fof(f9649,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ spl60_39 ),
    inference(avatar_component_clause,[],[f9648]) ).

fof(f9652,plain,
    ( ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
    | spl60_38 ),
    inference(resolution,[],[f9642,f2676]) ).

fof(f9658,plain,
    ( $false
    | spl60_38 ),
    inference(forward_subsumption_resolution,[],[f9652,f4148]) ).

fof(f9659,plain,
    spl60_38,
    inference(avatar_contradiction_clause,[],[f9658]) ).

fof(f9722,plain,
    ( class_Orderings_Olinorder(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_pa____),v_c____)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ spl60_38 ),
    inference(resolution,[],[f9641,f4544]) ).

fof(f9723,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ spl60_38 ),
    inference(forward_subsumption_resolution,[],[f9722,f5471]) ).

fof(f9733,plain,
    ( spl60_39
    | ~ spl60_38 ),
    inference(avatar_split_clause,[],[f9723,f9640,f9648]) ).

fof(f9775,plain,
    ( ~ 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____)))
    | 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____))
    | class_Orderings_Olinorder(tc_RealDef_Oreal)
    | ~ spl60_39 ),
    inference(resolution,[],[f9649,f4792]) ).

fof(f26992,plain,
    ! [X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
      | class_Fields_Olinordered__field(tc_RealDef_Oreal)
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(superposition,[],[f4746,f3135]) ).

fof(f27006,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
    inference(forward_subsumption_resolution,[],[f26992,f5465]) ).

fof(f47818,plain,
    ( 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____)))
    | 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____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))
    | class_Fields_Olinordered__field(tc_RealDef_Oreal)
    | ~ spl60_1 ),
    inference(resolution,[],[f9192,f4745]) ).

fof(f47842,plain,
    ( 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____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))
    | class_Fields_Olinordered__field(tc_RealDef_Oreal)
    | ~ spl60_1
    | spl60_33 ),
    inference(forward_subsumption_resolution,[],[f47818,f9185]) ).

fof(f47845,plain,
    ( 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____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))))
    | ~ spl60_1
    | spl60_33 ),
    inference(forward_subsumption_resolution,[],[f47842,f5465]) ).

fof(f47846,plain,
    ( 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____)))
    | ~ spl60_1
    | spl60_33 ),
    inference(forward_demodulation,[],[f47845,f3135]) ).

fof(f47847,plain,
    ( $false
    | ~ spl60_1
    | spl60_2
    | spl60_33 ),
    inference(forward_subsumption_resolution,[],[f47846,f9193]) ).

fof(f47848,plain,
    ( ~ spl60_1
    | spl60_2
    | spl60_33 ),
    inference(avatar_contradiction_clause,[],[f47847]) ).

fof(f195241,plain,
    ( 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____)))
    | ~ 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____)))
    | spl60_1 ),
    inference(resolution,[],[f27006,f9609]) ).

fof(f195299,plain,
    ( ~ 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____)))
    | 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____))
    | ~ spl60_39 ),
    inference(forward_subsumption_resolution,[],[f9775,f5471]) ).

fof(f195341,plain,
    ( 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____)))
    | spl60_1
    | ~ spl60_2 ),
    inference(forward_subsumption_resolution,[],[f195241,f9612]) ).

fof(f195344,plain,
    ( spl60_37
    | ~ spl60_33
    | ~ spl60_39 ),
    inference(avatar_split_clause,[],[f195299,f9648,f9184,f9636]) ).

fof(f195349,plain,
    ( spl60_33
    | spl60_1
    | ~ spl60_2 ),
    inference(avatar_split_clause,[],[f195341,f5554,f5550,f9184]) ).

fof(f333798,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)
    | ~ spl60_37 ),
    inference(superposition,[],[f7570,f9638]) ).

fof(f333894,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)
    | ~ spl60_37 ),
    inference(forward_subsumption_resolution,[],[f333798,f2591]) ).

fof(f333934,plain,
    ( $false
    | spl60_8
    | ~ spl60_37 ),
    inference(forward_subsumption_resolution,[],[f333894,f5585]) ).

fof(f333935,plain,
    ( spl60_8
    | ~ spl60_37 ),
    inference(avatar_contradiction_clause,[],[f333934]) ).

cnf(s1,plain,
    ( ~ spl60_1
    | ~ spl60_2 ),
    inference(sat_conversion,[],[f5557]) ).

cnf(s2,plain,
    ( spl60_1
    | spl60_2 ),
    inference(sat_conversion,[],[f5558]) ).

cnf(s7,plain,
    ~ spl60_8,
    inference(sat_conversion,[],[f5587]) ).

cnf(s43,plain,
    spl60_38,
    inference(sat_conversion,[],[f9659]) ).

cnf(s54,plain,
    ( ~ spl60_38
    | spl60_39 ),
    inference(sat_conversion,[],[f9733]) ).

cnf(s1233,plain,
    ( ~ spl60_1
    | spl60_2
    | spl60_33 ),
    inference(sat_conversion,[],[f47848]) ).

cnf(s5819,plain,
    ( ~ spl60_33
    | spl60_37
    | ~ spl60_39 ),
    inference(sat_conversion,[],[f195344]) ).

cnf(s5824,plain,
    ( spl60_1
    | ~ spl60_2
    | spl60_33 ),
    inference(sat_conversion,[],[f195349]) ).

cnf(s11485,plain,
    ( spl60_8
    | ~ spl60_37 ),
    inference(sat_conversion,[],[f333935]) ).

cnf(s11783,plain,
    spl60_39,
    inference(rat,[],[s54,s43]) ).

cnf(s11793,plain,
    ~ spl60_37,
    inference(rat,[],[s11485,s7]) ).

cnf(s11795,plain,
    ~ spl60_33,
    inference(rat,[],[s5819,s11783,s11793]) ).

cnf(s11814,plain,
    spl60_1,
    inference(rat,[],[s2,s5824,s11795]) ).

cnf(s11815,plain,
    spl60_2,
    inference(rat,[],[s1233,s11795,s11814]) ).

cnf(s11817,plain,
    $false,
    inference(rat,[],[s1,s11815,s11814]) ).

fof(f333941,plain,
    $false,
    inference(avatar_sat_refutation,[],[s11817]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWW254+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19  % Computer : n003.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Mon Sep 28 13:26:58 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22  Running first-order model finding
% 0.07/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.22/2.18  % (1580029)Will run a generic schedule for satisfiability detection.
% 13.22/2.18  % (1580035)% WARNING: option uhcvi not known.
% 13.22/2.18  % (1580035)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2066573904:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.22/2.18  % (1580034)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1064752118_2999 on theBenchmark for (2999ds/0Mi)
% 13.22/2.18  % (1580036)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1211379494:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.22/2.18  % (1580037)dis+10_1_sil=32000:sp=arity:random_seed=3014743651:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.22/2.18  % (1580038)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1011928536:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.22/2.18  % (1580039)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1013762337:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.22/2.18  % (1580040)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3890715085:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.22/2.18  % (1580037)Instruction limit reached! 
% 13.22/2.18  % (1580037)------------------------------
% 13.22/2.18  % (1580037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.22/2.18  % (1580037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/2.18  % (1580037)CaDiCaL version: 2.1.3
% 13.22/2.18  % (1580037)Termination reason: Instruction limit
% 13.22/2.18  % (1580037)Termination phase: Saturation
% 13.22/2.18  % (1580037)Time elapsed: 0.052 s
% 13.22/2.18  % (1580037)Peak memory usage: 14 MB
% 13.22/2.18  % (1580037)Instructions burned: 104 (million)
% 13.22/2.18  % (1580038)Instruction limit reached! 
% 13.22/2.18  % (1580038)------------------------------
% 13.22/2.18  % (1580038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.22/2.18  % (1580038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/2.18  % (1580038)CaDiCaL version: 2.1.3
% 13.22/2.18  % (1580038)Termination reason: Instruction limit
% 13.22/2.18  % (1580038)Termination phase: Saturation
% 13.22/2.18  % (1580038)Time elapsed: 0.061 s
% 13.22/2.18  % (1580038)Peak memory usage: 14 MB
% 13.22/2.18  % (1580038)Instructions burned: 118 (million)
% 13.22/2.18  % (1580039)Instruction limit reached! 
% 13.22/2.18  % (1580039)------------------------------
% 13.22/2.18  % (1580039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.22/2.18  % (1580039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/2.18  % (1580039)CaDiCaL version: 2.1.3
% 13.22/2.18  % (1580039)Termination reason: Instruction limit
% 13.22/2.18  % (1580039)Termination phase: Saturation
% 13.22/2.18  % (1580039)Time elapsed: 0.070 s
% 13.22/2.18  % (1580039)Peak memory usage: 15 MB
% 13.22/2.18  % (1580039)Instructions burned: 132 (million)
% 13.22/2.18  % (1580048)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=137570816:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 13.22/2.18  % (1580049)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1226465:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 13.22/2.18  % (1580040)Instruction limit reached! 
% 13.22/2.18  % (1580040)------------------------------
% 13.22/2.18  % (1580040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.22/2.18  % (1580040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/2.18  % (1580040)CaDiCaL version: 2.1.3
% 13.22/2.18  % (1580040)Termination reason: Instruction limit
% 13.22/2.18  % (1580040)Termination phase: Saturation
% 13.22/2.18  % (1580040)Time elapsed: 0.089 s
% 13.22/2.18  % (1580040)Peak memory usage: 16 MB
% 13.22/2.18  % (1580040)Instructions burned: 160 (million)
% 13.22/2.18  % (1580050)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1083280738:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.22/2.18  % (1580053)ott-21_1_sil=16000:fs=off:random_seed=3259420401:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.22/2.18  % (1580049)Instruction limit reached! 
% 13.22/2.18  % (1580049)------------------------------
% 13.22/2.18  % (1580049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.22/2.18  % (1580049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/2.18  % (1580049)CaDiCaL version: 2.1.3
% 42.04/6.26  % (1580049)Termination reason: Instruction limit
% 42.04/6.26  % (1580049)Termination phase: Saturation
% 42.04/6.26  % (1580049)Time elapsed: 0.061 s
% 42.04/6.26  % (1580049)Peak memory usage: 14 MB
% 42.04/6.26  % (1580049)Instructions burned: 132 (million)
% 42.04/6.26  % (1580056)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3937189649:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 42.04/6.26  % (1580053)Instruction limit reached! 
% 42.04/6.26  % (1580053)------------------------------
% 42.04/6.26  % (1580053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.04/6.26  % (1580053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.04/6.26  % (1580053)CaDiCaL version: 2.1.3
% 42.04/6.26  % (1580053)Termination reason: Instruction limit
% 42.04/6.26  % (1580053)Termination phase: Saturation
% 42.04/6.26  % (1580053)Time elapsed: 0.091 s
% 42.04/6.26  % (1580053)Peak memory usage: 15 MB
% 42.04/6.26  % (1580053)Instructions burned: 182 (million)
% 42.04/6.26  % (1580058)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=659713317:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 42.04/6.26  % TRYING [1]
% 42.04/6.26  % TRYING [2]
% 42.04/6.26  % TRYING [1]
% 42.04/6.26  % TRYING [2]
% 42.04/6.26  % (1580050)Instruction limit reached! 
% 42.04/6.26  % (1580050)------------------------------
% 42.04/6.26  % (1580050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.04/6.26  % (1580050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.04/6.26  % (1580050)CaDiCaL version: 2.1.3
% 42.04/6.26  % (1580050)Termination reason: Instruction limit
% 42.04/6.26  % (1580050)Termination phase: Saturation
% 42.04/6.26  % (1580050)Time elapsed: 0.314 s
% 42.04/6.26  % (1580050)Peak memory usage: 16 MB
% 42.04/6.26  % (1580050)Instructions burned: 686 (million)
% 42.04/6.26  % (1580048)Instruction limit reached! 
% 42.04/6.26  % (1580048)------------------------------
% 42.04/6.26  % (1580048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.04/6.26  % (1580048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.04/6.26  % (1580048)CaDiCaL version: 2.1.3
% 42.04/6.26  % (1580048)Termination reason: Instruction limit
% 42.04/6.26  % (1580048)Termination phase: Finite model building constraint generation
% 42.04/6.26  % (1580048)Time elapsed: 0.336 s
% 42.04/6.26  % (1580048)Peak memory usage: 25 MB
% 42.04/6.26  % (1580048)Instructions burned: 715 (million)
% 42.04/6.26  % (1580060)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3881578042:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 42.04/6.26  % (1580061)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2121360962:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 42.04/6.26  % (1580056)Instruction limit reached! 
% 42.04/6.26  % (1580056)------------------------------
% 42.04/6.26  % (1580056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.04/6.26  % (1580056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.04/6.26  % (1580056)CaDiCaL version: 2.1.3
% 42.04/6.26  % (1580056)Termination reason: Instruction limit
% 42.04/6.26  % (1580056)Termination phase: Saturation
% 42.04/6.26  % (1580056)Time elapsed: 0.288 s
% 42.04/6.26  % (1580056)Peak memory usage: 16 MB
% 42.04/6.26  % (1580056)Instructions burned: 478 (million)
% 42.04/6.26  % (1580064)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=534093372:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 42.04/6.26  % TRYING [1]
% 42.04/6.26  % TRYING [3]
% 42.04/6.26  % TRYING [2]
% 42.04/6.26  % (1580058)Instruction limit reached! 
% 42.04/6.26  % (1580058)------------------------------
% 42.04/6.26  % (1580058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.04/6.26  % (1580058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.04/6.26  % (1580058)CaDiCaL version: 2.1.3
% 42.04/6.26  % (1580058)Termination reason: Instruction limit
% 42.04/6.26  % (1580058)Termination phase: Finite model building constraint generation
% 42.04/6.26  % (1580058)Time elapsed: 0.402 s
% 42.04/6.26  % (1580058)Peak memory usage: 35 MB
% 42.04/6.26  % (1580058)Instructions burned: 865 (million)
% 42.04/6.26  % (1580066)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=500845320:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 42.04/6.26  % (1580061)Instruction limit reached! 
% 42.04/6.26  % (1580061)------------------------------
% 42.04/6.26  % (1580061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.53/6.43  % (1580061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.53/6.43  % (1580061)CaDiCaL version: 2.1.3
% 22.53/6.43  % (1580061)Termination reason: Instruction limit
% 22.53/6.43  % (1580061)Termination phase: Finite model building constraint generation
% 22.53/6.43  % (1580061)Time elapsed: 0.427 s
% 22.53/6.43  % (1580061)Peak memory usage: 55 MB
% 22.53/6.43  % (1580061)Instructions burned: 889 (million)
% 22.53/6.43  % (1580068)fmb+10_1_sil=64000:random_seed=1551728075:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 22.53/6.43  % (1580064)Instruction limit reached! 
% 22.53/6.43  % (1580064)------------------------------
% 22.53/6.43  % (1580064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.53/6.43  % (1580064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.53/6.43  % (1580064)CaDiCaL version: 2.1.3
% 22.53/6.43  % (1580064)Termination reason: Instruction limit
% 22.53/6.43  % (1580064)Termination phase: Saturation
% 22.53/6.43  % (1580064)Time elapsed: 0.450 s
% 22.53/6.43  % (1580064)Peak memory usage: 21 MB
% 22.53/6.43  % (1580064)Instructions burned: 693 (million)
% 22.53/6.43  % (1580070)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=837181441:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 22.53/6.43  % (1580066)Instruction limit reached! 
% 22.53/6.43  % (1580066)------------------------------
% 22.53/6.43  % (1580066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.53/6.43  % (1580066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.53/6.43  % (1580066)CaDiCaL version: 2.1.3
% 22.53/6.43  % (1580066)Termination reason: Instruction limit
% 22.53/6.43  % (1580066)Termination phase: Saturation
% 22.53/6.43  % (1580066)Time elapsed: 0.445 s
% 22.53/6.43  % (1580066)Peak memory usage: 21 MB
% 22.53/6.43  % (1580066)Instructions burned: 880 (million)
% 22.53/6.43  % (1580072)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=475113221:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 22.53/6.43  % (1580060)Instruction limit reached! 
% 22.53/6.43  % (1580060)------------------------------
% 22.53/6.43  % (1580060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.53/6.43  % (1580060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.53/6.43  % (1580060)CaDiCaL version: 2.1.3
% 22.53/6.43  % (1580060)Termination reason: Instruction limit
% 22.53/6.43  % (1580060)Termination phase: Saturation
% 22.53/6.43  % (1580060)Time elapsed: 0.703 s
% 22.53/6.43  % (1580060)Peak memory usage: 23 MB
% 22.53/6.43  % (1580060)Instructions burned: 1179 (million)
% 22.53/6.43  % (1580074)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3559089164:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 22.53/6.43  % TRYING [1]
% 22.53/6.43  % TRYING [2]
% 22.53/6.43  % (1580070)Cannot represent all propositional literals internally
% 22.53/6.43  % (1580070)Refutation not found, incomplete strategy
% 22.53/6.43  % (1580070)------------------------------
% 22.53/6.43  % (1580070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.53/6.43  % (1580070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.53/6.43  % (1580070)CaDiCaL version: 2.1.3
% 22.53/6.43  % (1580070)Termination reason: Refutation not found, incomplete strategy
% 22.53/6.43  % (1580070)Time elapsed: 0.300 s
% 22.53/6.43  % (1580070)Peak memory usage: 23 MB
% 22.53/6.43  % (1580070)Instructions burned: 623 (million)
% 22.53/6.43  % (1580070)------------------------------
% 22.53/6.43  % (1580070)------------------------------
% 22.53/6.43  % (1580076)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2852252447:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 22.53/6.43  % TRYING [8]
% 22.53/6.43  % (1580072)Instruction limit reached! 
% 22.53/6.43  % (1580072)------------------------------
% 22.53/6.43  % (1580072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.53/6.43  % (1580072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.53/6.43  % (1580072)CaDiCaL version: 2.1.3
% 22.53/6.43  % (1580072)Termination reason: Instruction limit
% 22.53/6.43  % (1580072)Termination phase: Finite model building constraint generation
% 22.53/6.43  % (1580072)Time elapsed: 0.411 s
% 22.53/6.43  % (1580072)Peak memory usage: 42 MB
% 22.53/6.43  % (1580072)Instructions burned: 922 (million)
% 22.53/6.43  % (1580078)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4085195929:i=6324_2983 on theBenchmark for (2983ds/6324Mi)
% 22.53/6.43  % TRYING [4]
% 22.53/6.43  % (1580078)Cannot represent all propositional literals internally
% 22.53/6.43  % (1580078)Refutation not found, incomplete strategy
% 22.53/6.43  % (1580078)------------------------------
% 22.53/6.43  % (1580078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.53/6.43  % (1580078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.53/6.43  % (1580078)CaDiCaL version: 2.1.3
% 22.53/6.43  % (1580078)Termination reason: Refutation not found, incomplete strategy
% 22.53/6.43  % (1580078)Time elapsed: 0.326 s
% 22.53/6.43  % (1580078)Peak memory usage: 23 MB
% 22.53/6.43  % (1580078)Instructions burned: 672 (million)
% 22.53/6.43  % (1580078)------------------------------
% 22.53/6.43  % (1580078)------------------------------
% 22.53/6.43  % (1580080)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3299807968:fmbsr=2.30978:i=2174_2980 on theBenchmark for (2980ds/2174Mi)
% 22.53/6.43  % (1580076)Instruction limit reached! 
% 22.53/6.43  % (1580076)------------------------------
% 22.53/6.43  % (1580076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.53/6.43  % (1580076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.53/6.43  % (1580076)CaDiCaL version: 2.1.3
% 22.53/6.43  % (1580076)Termination reason: Instruction limit
% 22.53/6.43  % (1580076)Termination phase: Saturation
% 22.53/6.43  % (1580076)Time elapsed: 0.693 s
% 22.53/6.43  % (1580076)Peak memory usage: 29 MB
% 22.53/6.43  % (1580076)Instructions burned: 1473 (million)
% 22.53/6.43  % (1580082)ott-2_1_sil=16000:newcnf=on:random_seed=1753283888:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2979 on theBenchmark for (2979ds/869Mi)
% 22.53/6.43  % TRYING [3]
% 22.53/6.43  % (1580082)Instruction limit reached! 
% 22.53/6.43  % (1580082)------------------------------
% 22.53/6.43  % (1580082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.53/6.43  % (1580082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.53/6.43  % (1580082)CaDiCaL version: 2.1.3
% 22.53/6.43  % (1580082)Termination reason: Instruction limit
% 22.53/6.43  % (1580082)Termination phase: Saturation
% 22.53/6.43  % (1580082)Time elapsed: 0.518 s
% 22.53/6.43  % (1580082)Peak memory usage: 18 MB
% 22.53/6.43  % (1580082)Instructions burned: 870 (million)
% 22.53/6.43  % (1580084)ott+10_1_sil=32000:tgt=ground:random_seed=3437726993:i=5114:av=off_2974 on theBenchmark for (2974ds/5114Mi)
% 22.53/6.43  % (1580080)Instruction limit reached! 
% 22.53/6.43  % (1580080)------------------------------
% 22.53/6.43  % (1580080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.53/6.43  % (1580080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.53/6.43  % (1580080)CaDiCaL version: 2.1.3
% 22.53/6.43  % (1580080)Termination reason: Instruction limit
% 22.53/6.43  % (1580080)Termination phase: Finite model building preprocessing
% 22.53/6.43  % (1580080)Time elapsed: 1.073 s
% 22.53/6.43  % (1580080)Peak memory usage: 42 MB
% 22.53/6.43  % (1580080)Instructions burned: 2175 (million)
% 22.53/6.43  % (1580086)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3345344720:i=54282_2969 on theBenchmark for (2969ds/54282Mi)
% 22.53/6.43  % TRYING [1]
% 22.53/6.43  % TRYING [2]
% 22.53/6.43  % TRYING [3]
% 22.53/6.43  % (1580074)Instruction limit reached! 
% 22.53/6.43  % (1580074)------------------------------
% 22.53/6.43  % (1580074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.53/6.43  % (1580074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.53/6.43  % (1580074)CaDiCaL version: 2.1.3
% 22.53/6.43  % (1580074)Termination reason: Instruction limit
% 22.53/6.43  % (1580074)Termination phase: Saturation
% 22.53/6.43  % (1580074)Time elapsed: 3.043 s
% 22.53/6.43  % (1580074)Peak memory usage: 36 MB
% 22.53/6.43  % (1580074)Instructions burned: 5132 (million)
% 22.53/6.43  % (1580088)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2797606170:i=3512:aac=none_2957 on theBenchmark for (2957ds/3512Mi)
% 22.53/6.43  % TRYING [4]
% 22.53/6.43  % TRYING [4]
% 22.53/6.43  % (1580084)Instruction limit reached! 
% 22.53/6.43  % (1580084)------------------------------
% 22.53/6.43  % (1580084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.53/6.43  % (1580084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.53/6.43  % (1580084)CaDiCaL version: 2.1.3
% 22.53/6.43  % (1580084)Termination reason: Instruction limit
% 22.53/6.43  % (1580084)Termination phase: Saturation
% 22.53/6.43  % (1580084)Time elapsed: 3.405 s
% 22.53/6.43  % (1580084)Peak memory usage: 36 MB
% 22.53/6.43  % (1580084)Instructions burned: 5115 (million)
% 22.53/6.43  % (1580090)dis+21_1_sil=32000:sas=cadical:random_seed=1595455987:i=3773:amm=off_2939 on theBenchmark for (2939ds/3773Mi)
% 22.53/6.43  % (1580035) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1580029-1580035"...
% 22.53/6.43  % (1580035)...printing done.
% 22.53/6.43  % (1580035)Refutation found. Thanks to Tanya!
% 22.53/6.43  % SZS status Theorem for theBenchmark
% 22.53/6.43  % SZS output start Proof for theBenchmark
% See solution above
% 22.53/6.43  % (1580035)------------------------------
% 22.53/6.43  % (1580035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.53/6.43  % (1580035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.53/6.43  % (1580035)CaDiCaL version: 2.1.3
% 22.53/6.43  % (1580035)Termination reason: Refutation
% 22.53/6.43  % (1580035)Time elapsed: 6.018 s
% 22.53/6.43  % (1580035)Peak memory usage: 93 MB
% 22.53/6.43  % (1580035)Instructions burned: 18482 (million)
% 22.53/6.43  % (1580029)Success in time 6.204 s
% 22.53/6.43  % Vampire exiting
%------------------------------------------------------------------------------