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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW217+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 : n018.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 01:39:38 PM UTC 2026

% Result   : Theorem 7.27s 3.22s
% Output   : Refutation 7.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   71 (  46 unt;   8 def)
%            Number of atoms       :  135 (  35 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  109 (  45   ~;  45   |;  10   &)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;  16 con; 0-3 aty)
%            Number of variables   :   52 (  52   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____),v_e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_dme) ).

fof(f8,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096cmod_A_Iw_A_N_Az_J_A_K_Acmod_A_Ipoly_Acs_A_Iw_A_N_Az_J_J_A_060_061_Ad_A_K_Am_096) ).

fof(f119,axiom,
    ! [X0,X1,X2] :
      ( class_Rings_Olinordered__idom(X2)
     => ( X1 != X0
       => ( ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
         => c_Orderings_Oord__class_Oless(X2,X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__neqE__linordered__idom) ).

fof(f121,axiom,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
       => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__trans) ).

fof(f124,axiom,
    ! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__commute) ).

fof(f133,axiom,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
    <=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
        | X1 = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__eq__real__def) ).

fof(f549,axiom,
    ! [X0,X1,X2] :
      ( class_Orderings_Opreorder(X2)
     => ( c_Orderings_Oord__class_Oless(X2,X1,X0)
      <=> ( c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
          & ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__le__not__le) ).

fof(f1136,axiom,
    class_Rings_Olinordered__idom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__idom) ).

fof(f1145,axiom,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Opreorder) ).

fof(f1260,conjecture,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f1261,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
    inference(negated_conjecture,[status(cth)],[f1260]) ).

fof(f1266,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
    inference(flattening,[],[f1261]) ).

fof(f1385,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless(X2,X0,X1)
      | c_Orderings_Oord__class_Oless(X2,X1,X0)
      | X0 = X1
      | ~ class_Rings_Olinordered__idom(X2) ),
    inference(ennf_transformation,[],[f119]) ).

fof(f1386,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless(X2,X0,X1)
      | c_Orderings_Oord__class_Oless(X2,X1,X0)
      | X0 = X1
      | ~ class_Rings_Olinordered__idom(X2) ),
    inference(flattening,[],[f1385]) ).

fof(f1389,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(ennf_transformation,[],[f121]) ).

fof(f1390,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(flattening,[],[f1389]) ).

fof(f1912,plain,
    ! [X0,X1,X2] :
      ( ( c_Orderings_Oord__class_Oless(X2,X1,X0)
      <=> ( c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
          & ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1) ) )
      | ~ class_Orderings_Opreorder(X2) ),
    inference(ennf_transformation,[],[f549]) ).

fof(f2446,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
        | ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
          & X0 != X1 ) )
      & ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
        | X1 = X0
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
    inference(nnf_transformation,[],[f133]) ).

fof(f2447,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
        | ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
          & X0 != X1 ) )
      & ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
        | X1 = X0
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
    inference(flattening,[],[f2446]) ).

fof(f2637,plain,
    ! [X0,X1,X2] :
      ( ( ( c_Orderings_Oord__class_Oless(X2,X1,X0)
          | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
          | c_Orderings_Oord__class_Oless__eq(X2,X0,X1) )
        & ( ( c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
            & ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1) )
          | ~ c_Orderings_Oord__class_Oless(X2,X1,X0) ) )
      | ~ class_Orderings_Opreorder(X2) ),
    inference(nnf_transformation,[],[f1912]) ).

fof(f2638,plain,
    ! [X0,X1,X2] :
      ( ( ( c_Orderings_Oord__class_Oless(X2,X1,X0)
          | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
          | c_Orderings_Oord__class_Oless__eq(X2,X0,X1) )
        & ( ( c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
            & ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1) )
          | ~ c_Orderings_Oord__class_Oless(X2,X1,X0) ) )
      | ~ class_Orderings_Opreorder(X2) ),
    inference(flattening,[],[f2637]) ).

fof(f2802,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____),v_e),
    inference(cnf_transformation,[],[f5]) ).

fof(f2806,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
    inference(cnf_transformation,[],[f8]) ).

fof(f2939,plain,
    ! [X2,X0,X1] :
      ( c_Orderings_Oord__class_Oless(X2,X1,X0)
      | c_Orderings_Oord__class_Oless(X2,X0,X1)
      | X0 = X1
      | ~ class_Rings_Olinordered__idom(X2) ),
    inference(cnf_transformation,[],[f1386]) ).

fof(f2941,plain,
    ! [X2,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) ),
    inference(cnf_transformation,[],[f1390]) ).

fof(f2944,plain,
    ! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),
    inference(cnf_transformation,[],[f124]) ).

fof(f2960,plain,
    ! [X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(cnf_transformation,[],[f2447]) ).

fof(f3625,plain,
    ! [X2,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
      | ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
      | ~ class_Orderings_Opreorder(X2) ),
    inference(cnf_transformation,[],[f2638]) ).

fof(f4410,plain,
    class_Rings_Olinordered__idom(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1136]) ).

fof(f4419,plain,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1145]) ).

fof(f4534,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
    inference(cnf_transformation,[],[f1266]) ).

fof(f4904,definition,
    sF63 = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),
    introduced(definition,[new_symbols(definition,[sF63])],[function_definition]) ).

fof(f4905,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = sF63,
    inference(reorient_equations,[],[f4904]) ).

fof(f4906,definition,
    sF64 = c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z),
    introduced(definition,[new_symbols(definition,[sF64])],[function_definition]) ).

fof(f4907,plain,
    c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z) = sF64,
    inference(reorient_equations,[],[f4906]) ).

fof(f4908,definition,
    sF65 = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF64),
    introduced(definition,[new_symbols(definition,[sF65])],[function_definition]) ).

fof(f4909,plain,
    c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF64) = sF65,
    inference(reorient_equations,[],[f4908]) ).

fof(f4910,definition,
    sF66 = hAPP(sF63,sF65),
    introduced(definition,[new_symbols(definition,[sF66])],[function_definition]) ).

fof(f4911,plain,
    hAPP(sF63,sF65) = sF66,
    inference(reorient_equations,[],[f4910]) ).

fof(f4912,definition,
    sF67 = c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),
    introduced(definition,[new_symbols(definition,[sF67])],[function_definition]) ).

fof(f4913,plain,
    c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____) = sF67,
    inference(reorient_equations,[],[f4912]) ).

fof(f4914,definition,
    sF68 = hAPP(sF67,sF64),
    introduced(definition,[new_symbols(definition,[sF68])],[function_definition]) ).

fof(f4915,plain,
    hAPP(sF67,sF64) = sF68,
    inference(reorient_equations,[],[f4914]) ).

fof(f4916,definition,
    sF69 = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF68),
    introduced(definition,[new_symbols(definition,[sF69])],[function_definition]) ).

fof(f4917,plain,
    c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF68) = sF69,
    inference(reorient_equations,[],[f4916]) ).

fof(f4918,definition,
    sF70 = hAPP(sF66,sF69),
    introduced(definition,[new_symbols(definition,[sF70])],[function_definition]) ).

fof(f4919,plain,
    hAPP(sF66,sF69) = sF70,
    inference(reorient_equations,[],[f4918]) ).

fof(f4920,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF70,v_e),
    inference(definition_folding,[],[f4534,f4919,f4917,f4915,f4907,f4913,f4911,f4909,f4907,f4905]) ).

fof(f4951,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)),
    inference(forward_demodulation,[],[f2806,f2944]) ).

fof(f4952,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____),v_e),
    inference(forward_demodulation,[],[f2802,f2944]) ).

fof(f4957,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(sF63,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(sF63,v_m____),v_da____)),
    inference(forward_demodulation,[],[f4951,f4905]) ).

fof(f4958,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(sF63,v_m____),v_da____),v_e),
    inference(forward_demodulation,[],[f4952,f4905]) ).

fof(f4959,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(sF63,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF64)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),sF64))),hAPP(hAPP(sF63,v_m____),v_da____)),
    inference(forward_demodulation,[],[f4957,f4907]) ).

fof(f4960,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(sF63,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF64)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(sF67,sF64))),hAPP(hAPP(sF63,v_m____),v_da____)),
    inference(forward_demodulation,[],[f4959,f4913]) ).

fof(f4961,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(sF63,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF64)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF68)),hAPP(hAPP(sF63,v_m____),v_da____)),
    inference(forward_demodulation,[],[f4960,f4915]) ).

fof(f4962,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(sF63,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF64)),sF69),hAPP(hAPP(sF63,v_m____),v_da____)),
    inference(forward_demodulation,[],[f4961,f4917]) ).

fof(f4963,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(sF63,sF65),sF69),hAPP(hAPP(sF63,v_m____),v_da____)),
    inference(forward_demodulation,[],[f4962,f4909]) ).

fof(f4964,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(sF66,sF69),hAPP(hAPP(sF63,v_m____),v_da____)),
    inference(forward_demodulation,[],[f4963,f4911]) ).

fof(f4965,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sF70,hAPP(hAPP(sF63,v_m____),v_da____)),
    inference(forward_demodulation,[],[f4964,f4919]) ).

fof(f5686,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(sF63,v_m____),v_da____),sF70)
    | ~ class_Orderings_Opreorder(tc_RealDef_Oreal) ),
    inference(resolution,[],[f3625,f4965]) ).

fof(f5688,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(sF63,v_m____),v_da____),sF70),
    inference(forward_subsumption_resolution,[],[f5686,f4419]) ).

fof(f9082,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e,sF70)
    | v_e = sF70
    | ~ class_Rings_Olinordered__idom(tc_RealDef_Oreal) ),
    inference(resolution,[],[f2939,f4920]) ).

fof(f9103,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e,sF70)
    | v_e = sF70 ),
    inference(forward_subsumption_resolution,[],[f9082,f4410]) ).

fof(f9109,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,sF70)
    | v_e = sF70 ),
    inference(resolution,[],[f9103,f2960]) ).

fof(f9156,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sF70,X0)
      | v_e = sF70
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,X0) ),
    inference(resolution,[],[f9109,f2941]) ).

fof(f9337,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,hAPP(hAPP(sF63,v_m____),v_da____))
    | v_e = sF70 ),
    inference(resolution,[],[f9156,f4965]) ).

fof(f9552,plain,
    ( v_e = sF70
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(sF63,v_m____),v_da____),v_e)
    | ~ class_Orderings_Opreorder(tc_RealDef_Oreal) ),
    inference(resolution,[],[f9337,f3625]) ).

fof(f9553,plain,
    ( v_e = sF70
    | ~ class_Orderings_Opreorder(tc_RealDef_Oreal) ),
    inference(forward_subsumption_resolution,[],[f9552,f4958]) ).

fof(f9557,plain,
    v_e = sF70,
    inference(forward_subsumption_resolution,[],[f9553,f4419]) ).

fof(f9561,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(sF63,v_m____),v_da____),v_e),
    inference(superposition,[],[f5688,f9557]) ).

fof(f9562,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f9561,f4958]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWW217+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18  % Computer : n018.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 13:20:55 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21  Running first-order model finding
% 0.07/0.21  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
% 13.75/2.23  % (3381807)Will run a generic schedule for satisfiability detection.
% 13.75/2.23  % (3381812)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3777770320_2999 on theBenchmark for (2999ds/0Mi)
% 13.75/2.23  % (3381813)% WARNING: option uhcvi not known.
% 13.75/2.23  % (3381813)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3897437460:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.75/2.23  % (3381814)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3484668861:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.75/2.23  % (3381815)dis+10_1_sil=32000:sp=arity:random_seed=2953822654:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.75/2.23  % (3381818)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3195531558:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.75/2.23  % (3381816)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1783094987:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.75/2.23  % (3381817)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4156886911:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.75/2.23  % (3381815)Instruction limit reached! 
% 13.75/2.23  % (3381815)------------------------------
% 13.75/2.23  % (3381815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.75/2.23  % (3381815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.75/2.23  % (3381815)CaDiCaL version: 2.1.3
% 13.75/2.23  % (3381815)Termination reason: Instruction limit
% 13.75/2.23  % (3381815)Termination phase: Saturation
% 13.75/2.23  % (3381815)Time elapsed: 0.050 s
% 13.75/2.23  % (3381815)Peak memory usage: 14 MB
% 13.75/2.23  % (3381815)Instructions burned: 103 (million)
% 13.75/2.23  % (3381816)Instruction limit reached! 
% 13.75/2.23  % (3381816)------------------------------
% 13.75/2.23  % (3381816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.75/2.23  % (3381816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.75/2.23  % (3381816)CaDiCaL version: 2.1.3
% 13.75/2.23  % (3381816)Termination reason: Instruction limit
% 13.75/2.23  % (3381816)Termination phase: Property scanning
% 13.75/2.23  % (3381816)Time elapsed: 0.054 s
% 13.75/2.23  % (3381816)Peak memory usage: 14 MB
% 13.75/2.23  % (3381816)Instructions burned: 116 (million)
% 13.75/2.23  % (3381826)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2244733881:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 13.75/2.23  % (3381817)Instruction limit reached! 
% 13.75/2.23  % (3381817)------------------------------
% 13.75/2.23  % (3381817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.75/2.23  % (3381817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.75/2.23  % (3381817)CaDiCaL version: 2.1.3
% 13.75/2.23  % (3381817)Termination reason: Instruction limit
% 13.75/2.23  % (3381817)Termination phase: Saturation
% 13.75/2.23  % (3381817)Time elapsed: 0.073 s
% 13.75/2.23  % (3381817)Peak memory usage: 14 MB
% 13.75/2.23  % (3381817)Instructions burned: 132 (million)
% 13.75/2.23  % (3381827)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1509091462:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 13.75/2.23  % (3381818)Instruction limit reached! 
% 13.75/2.23  % (3381818)------------------------------
% 13.75/2.23  % (3381818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.75/2.23  % (3381818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.75/2.23  % (3381818)CaDiCaL version: 2.1.3
% 13.75/2.23  % (3381818)Termination reason: Instruction limit
% 13.75/2.23  % (3381818)Termination phase: Saturation
% 13.75/2.23  % (3381818)Time elapsed: 0.086 s
% 13.75/2.23  % (3381818)Peak memory usage: 16 MB
% 13.75/2.23  % (3381818)Instructions burned: 159 (million)
% 13.75/2.23  % (3381830)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=1197379153:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.75/2.23  % (3381831)ott-21_1_sil=16000:fs=off:random_seed=2909254454:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.75/2.23  % (3381827)Instruction limit reached! 
% 13.75/2.23  % (3381827)------------------------------
% 13.75/2.23  % (3381827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.75/2.23  % (3381827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/3.22  % (3381827)CaDiCaL version: 2.1.3
% 7.27/3.22  % (3381827)Termination reason: Instruction limit
% 7.27/3.22  % (3381827)Termination phase: Saturation
% 7.27/3.22  % (3381827)Time elapsed: 0.063 s
% 7.27/3.22  % (3381827)Peak memory usage: 14 MB
% 7.27/3.22  % (3381827)Instructions burned: 137 (million)
% 7.27/3.22  % (3381834)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1395273093:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.27/3.22  % TRYING [1]
% 7.27/3.22  % (3381831)Instruction limit reached! 
% 7.27/3.22  % (3381831)------------------------------
% 7.27/3.22  % (3381831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/3.22  % (3381831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/3.22  % (3381831)CaDiCaL version: 2.1.3
% 7.27/3.22  % (3381831)Termination reason: Instruction limit
% 7.27/3.22  % (3381831)Termination phase: Saturation
% 7.27/3.22  % (3381831)Time elapsed: 0.088 s
% 7.27/3.22  % (3381831)Peak memory usage: 14 MB
% 7.27/3.22  % (3381831)Instructions burned: 180 (million)
% 7.27/3.22  % TRYING [2]
% 7.27/3.22  % (3381836)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2964947615:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.27/3.22  % TRYING [3]
% 7.27/3.22  % TRYING [1]
% 7.27/3.22  % (3381826)Instruction limit reached! 
% 7.27/3.22  % (3381826)------------------------------
% 7.27/3.22  % (3381826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/3.22  % (3381826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/3.22  % (3381826)CaDiCaL version: 2.1.3
% 7.27/3.22  % (3381826)Termination reason: Instruction limit
% 7.27/3.22  % (3381826)Termination phase: Finite model building constraint generation
% 7.27/3.22  % (3381826)Time elapsed: 0.340 s
% 7.27/3.22  % (3381826)Peak memory usage: 23 MB
% 7.27/3.22  % (3381826)Instructions burned: 715 (million)
% 7.27/3.22  % (3381838)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3472398628:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 7.27/3.22  % (3381834)Instruction limit reached! 
% 7.27/3.22  % (3381834)------------------------------
% 7.27/3.22  % (3381834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/3.22  % (3381834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/3.22  % (3381834)CaDiCaL version: 2.1.3
% 7.27/3.22  % (3381834)Termination reason: Instruction limit
% 7.27/3.22  % (3381834)Termination phase: Saturation
% 7.27/3.22  % (3381834)Time elapsed: 0.286 s
% 7.27/3.22  % (3381834)Peak memory usage: 16 MB
% 7.27/3.22  % (3381834)Instructions burned: 477 (million)
% 7.27/3.22  % (3381840)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2549944909:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 7.27/3.22  % (3381830)Instruction limit reached! 
% 7.27/3.22  % (3381830)------------------------------
% 7.27/3.22  % (3381830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/3.22  % (3381830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/3.22  % (3381830)CaDiCaL version: 2.1.3
% 7.27/3.22  % (3381830)Termination reason: Instruction limit
% 7.27/3.22  % (3381830)Termination phase: Saturation
% 7.27/3.22  % (3381830)Time elapsed: 0.388 s
% 7.27/3.22  % (3381830)Peak memory usage: 19 MB
% 7.27/3.22  % (3381830)Instructions burned: 686 (million)
% 7.27/3.22  % (3381842)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=1380148254: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)
% 7.27/3.22  % TRYING [1]
% 7.27/3.22  % TRYING [2]
% 7.27/3.22  % (3381836)Instruction limit reached! 
% 7.27/3.22  % (3381836)------------------------------
% 7.27/3.22  % (3381836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/3.22  % (3381836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/3.22  % (3381836)CaDiCaL version: 2.1.3
% 7.27/3.22  % (3381836)Termination reason: Instruction limit
% 7.27/3.22  % (3381836)Termination phase: Finite model building constraint generation
% 7.27/3.22  % (3381836)Time elapsed: 0.412 s
% 7.27/3.22  % (3381836)Peak memory usage: 32 MB
% 7.27/3.22  % (3381836)Instructions burned: 865 (million)
% 7.27/3.22  % (3381844)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4061393371:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 7.27/3.22  % (3381840)Instruction limit reached! 
% 7.27/3.22  % (3381840)------------------------------
% 7.27/3.22  % (3381840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/3.22  % (3381840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/3.22  % (3381840)CaDiCaL version: 2.1.3
% 7.27/3.22  % (3381840)Termination reason: Instruction limit
% 7.27/3.22  % (3381840)Termination phase: Finite model building constraint generation
% 7.27/3.22  % (3381840)Time elapsed: 0.440 s
% 7.27/3.22  % (3381840)Peak memory usage: 50 MB
% 7.27/3.22  % (3381840)Instructions burned: 890 (million)
% 7.27/3.22  % (3381846)fmb+10_1_sil=64000:random_seed=4187923373:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 7.27/3.22  % (3381842)Instruction limit reached! 
% 7.27/3.22  % (3381842)------------------------------
% 7.27/3.22  % (3381842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/3.22  % (3381842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/3.22  % (3381842)CaDiCaL version: 2.1.3
% 7.27/3.22  % (3381842)Termination reason: Instruction limit
% 7.27/3.22  % (3381842)Termination phase: Saturation
% 7.27/3.22  % (3381842)Time elapsed: 0.452 s
% 7.27/3.22  % (3381842)Peak memory usage: 21 MB
% 7.27/3.22  % (3381842)Instructions burned: 692 (million)
% 7.27/3.22  % (3381848)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2336807987:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 7.27/3.22  % (3381844)Instruction limit reached! 
% 7.27/3.22  % (3381844)------------------------------
% 7.27/3.22  % (3381844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/3.22  % (3381844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/3.22  % (3381844)CaDiCaL version: 2.1.3
% 7.27/3.22  % (3381844)Termination reason: Instruction limit
% 7.27/3.22  % (3381844)Termination phase: Saturation
% 7.27/3.22  % (3381844)Time elapsed: 0.443 s
% 7.27/3.22  % (3381844)Peak memory usage: 21 MB
% 7.27/3.22  % (3381844)Instructions burned: 880 (million)
% 7.27/3.22  % TRYING [4]
% 7.27/3.22  % (3381850)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=218460124:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 7.27/3.22  % (3381838)Instruction limit reached! 
% 7.27/3.22  % (3381838)------------------------------
% 7.27/3.22  % (3381838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/3.22  % (3381838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/3.22  % (3381838)CaDiCaL version: 2.1.3
% 7.27/3.22  % (3381838)Termination reason: Instruction limit
% 7.27/3.22  % (3381838)Termination phase: Saturation
% 7.27/3.22  % (3381838)Time elapsed: 0.744 s
% 7.27/3.22  % (3381838)Peak memory usage: 22 MB
% 7.27/3.22  % (3381838)Instructions burned: 1179 (million)
% 7.27/3.22  % (3381852)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=459319183:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 7.27/3.22  % TRYING [1]
% 7.27/3.22  % TRYING [2]
% 7.27/3.22  % (3381848)Cannot represent all propositional literals internally
% 7.27/3.22  % (3381848)Refutation not found, incomplete strategy
% 7.27/3.22  % (3381848)------------------------------
% 7.27/3.22  % (3381848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/3.22  % (3381848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/3.22  % (3381848)CaDiCaL version: 2.1.3
% 7.27/3.22  % (3381848)Termination reason: Refutation not found, incomplete strategy
% 7.27/3.22  % (3381848)Time elapsed: 0.343 s
% 7.27/3.22  % (3381848)Peak memory usage: 24 MB
% 7.27/3.22  % (3381848)Instructions burned: 703 (million)
% 7.27/3.22  % (3381848)------------------------------
% 7.27/3.22  % (3381848)------------------------------
% 7.27/3.22  % (3381854)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2724652740:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 7.27/3.22  % TRYING [8]
% 7.27/3.22  % (3381850)Instruction limit reached! 
% 7.27/3.22  % (3381850)------------------------------
% 7.27/3.22  % (3381850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/3.22  % (3381850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/3.22  % (3381850)CaDiCaL version: 2.1.3
% 7.27/3.22  % (3381850)Termination reason: Instruction limit
% 7.27/3.22  % (3381850)Termination phase: Finite model building constraint generation
% 7.27/3.22  % (3381850)Time elapsed: 0.418 s
% 7.27/3.22  % (3381850)Peak memory usage: 37 MB
% 7.27/3.22  % (3381850)Instructions burned: 922 (million)
% 7.27/3.22  % (3381856)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=481505130:i=6324_2983 on theBenchmark for (2983ds/6324Mi)
% 7.27/3.22  % (3381856)Cannot represent all propositional literals internally
% 7.27/3.22  % (3381856)Refutation not found, incomplete strategy
% 7.27/3.22  % (3381856)------------------------------
% 7.27/3.22  % (3381856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/3.22  % (3381856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/3.22  % (3381856)CaDiCaL version: 2.1.3
% 7.27/3.22  % (3381856)Termination reason: Refutation not found, incomplete strategy
% 7.27/3.22  % (3381856)Time elapsed: 0.371 s
% 7.27/3.22  % (3381856)Peak memory usage: 25 MB
% 7.27/3.22  % (3381856)Instructions burned: 757 (million)
% 7.27/3.22  % (3381856)------------------------------
% 7.27/3.22  % (3381856)------------------------------
% 7.27/3.22  % (3381858)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1858581939:fmbsr=2.30978:i=2174_2979 on theBenchmark for (2979ds/2174Mi)
% 7.27/3.22  % (3381854)Instruction limit reached! 
% 7.27/3.22  % (3381854)------------------------------
% 7.27/3.22  % (3381854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/3.22  % (3381854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/3.22  % (3381854)CaDiCaL version: 2.1.3
% 7.27/3.22  % (3381854)Termination reason: Instruction limit
% 7.27/3.22  % (3381854)Termination phase: Saturation
% 7.27/3.22  % (3381854)Time elapsed: 0.761 s
% 7.27/3.22  % (3381854)Peak memory usage: 28 MB
% 7.27/3.22  % (3381854)Instructions burned: 1472 (million)
% 7.27/3.22  % (3381860)ott-2_1_sil=16000:newcnf=on:random_seed=899070071:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2978 on theBenchmark for (2978ds/869Mi)
% 7.27/3.22  % TRYING [3]
% 7.27/3.22  % (3381860)Instruction limit reached! 
% 7.27/3.22  % (3381860)------------------------------
% 7.27/3.22  % (3381860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/3.22  % (3381860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/3.22  % (3381860)CaDiCaL version: 2.1.3
% 7.27/3.22  % (3381860)Termination reason: Instruction limit
% 7.27/3.22  % (3381860)Termination phase: Saturation
% 7.27/3.22  % (3381860)Time elapsed: 0.514 s
% 7.27/3.22  % (3381860)Peak memory usage: 19 MB
% 7.27/3.22  % (3381860)Instructions burned: 870 (million)
% 7.27/3.22  % (3381862)ott+10_1_sil=32000:tgt=ground:random_seed=3557402213:i=5114:av=off_2972 on theBenchmark for (2972ds/5114Mi)
% 7.27/3.22  % (3381862) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3381807-3381862"...
% 7.27/3.22  % (3381862)...printing done.
% 7.27/3.22  % (3381862)Refutation found. Thanks to Tanya!
% 7.27/3.22  % SZS status Theorem for theBenchmark
% 7.27/3.22  % SZS output start Proof for theBenchmark
% See solution above
% 7.27/3.23  % (3381862)------------------------------
% 7.27/3.23  % (3381862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/3.23  % (3381862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/3.23  % (3381862)CaDiCaL version: 2.1.3
% 7.27/3.23  % (3381862)Termination reason: Refutation
% 7.27/3.23  % (3381862)Time elapsed: 0.176 s
% 7.27/3.23  % (3381862)Peak memory usage: 17 MB
% 7.27/3.23  % (3381862)Instructions burned: 301 (million)
% 7.27/3.23  % (3381807)Success in time 3.003 s
% 7.27/3.23  % Vampire exiting
%------------------------------------------------------------------------------