TSTP Solution File: SWW217+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWW217+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 18:16:35 EDT 2024

% Result   : Theorem 136.78s 18.87s
% Output   : CNFRefutation 136.78s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% 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(f120,axiom,
    ! [X37,X22] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X22,X37)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X37,X22)
       => X22 = X37 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__antisym) ).

fof(f121,axiom,
    ! [X38,X39,X40] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X40,X39)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X39,X38)
       => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X40,X38) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__trans) ).

fof(f122,axiom,
    ! [X37,X22] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X37,X22)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X22,X37) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__linear) ).

fof(f132,axiom,
    ! [X24,X19] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X19,X24)
    <=> ( X19 != X24
        & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X19,X24) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__less__def) ).

fof(f133,axiom,
    ! [X24,X19] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X19,X24)
    <=> ( X19 = X24
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X19,X24) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__eq__real__def) ).

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,[],[f1260]) ).

fof(f1359,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
       => X0 = X1 ) ),
    inference(rectify,[],[f120]) ).

fof(f1360,plain,
    ! [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) ) ),
    inference(rectify,[],[f121]) ).

fof(f1361,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(rectify,[],[f122]) ).

fof(f1371,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
    <=> ( X0 != X1
        & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
    inference(rectify,[],[f132]) ).

fof(f1372,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
    <=> ( X0 = X1
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
    inference(rectify,[],[f133]) ).

fof(f2280,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(f2401,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(ennf_transformation,[],[f1359]) ).

fof(f2402,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(flattening,[],[f2401]) ).

fof(f2403,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,[],[f1360]) ).

fof(f2404,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,[],[f2403]) ).

fof(f3460,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
        | X0 = X1
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
      & ( ( X0 != X1
          & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
    inference(nnf_transformation,[],[f1371]) ).

fof(f3461,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
        | X0 = X1
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
      & ( ( X0 != X1
          & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
    inference(flattening,[],[f3460]) ).

fof(f3462,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
        | ( X0 != X1
          & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) )
      & ( X0 = X1
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
    inference(nnf_transformation,[],[f1372]) ).

fof(f3463,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
        | ( X0 != X1
          & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) )
      & ( X0 = X1
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
    inference(flattening,[],[f3462]) ).

fof(f3867,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(f3871,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(f4005,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(cnf_transformation,[],[f2402]) ).

fof(f4006,plain,
    ! [X2,X0,X1] :
      ( 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(cnf_transformation,[],[f2404]) ).

fof(f4007,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(cnf_transformation,[],[f1361]) ).

fof(f4021,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
    inference(cnf_transformation,[],[f3461]) ).

fof(f4023,plain,
    ! [X0,X1] :
      ( 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,[],[f3463]) ).

fof(f4024,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
    inference(cnf_transformation,[],[f3463]) ).

fof(f5599,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,[],[f2280]) ).

fof(f5774,plain,
    ! [X1] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(equality_resolution,[],[f4021]) ).

cnf(c_53,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,[],[f3867]) ).

cnf(c_57,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,[],[f3871]) ).

cnf(c_189,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
    | X0 = X1 ),
    inference(cnf_transformation,[],[f4005]) ).

cnf(c_190,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(cnf_transformation,[],[f4006]) ).

cnf(c_191,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(cnf_transformation,[],[f4007]) ).

cnf(c_205,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X0),
    inference(cnf_transformation,[],[f5774]) ).

cnf(c_208,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
    inference(cnf_transformation,[],[f4024]) ).

cnf(c_209,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
    | X0 = X1
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
    inference(cnf_transformation,[],[f4023]) ).

cnf(c_1740,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(cnf_transformation,[],[f5599]) ).

cnf(c_2815,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = sP0_iProver_def,
    definition ).

cnf(c_2816,plain,
    c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z) = sP1_iProver_def,
    definition ).

cnf(c_2817,plain,
    c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_2818,plain,
    hAPP(sP0_iProver_def,sP2_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_2819,plain,
    c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____) = sP4_iProver_def,
    definition ).

cnf(c_2820,plain,
    hAPP(sP4_iProver_def,sP1_iProver_def) = sP5_iProver_def,
    definition ).

cnf(c_2821,plain,
    c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sP5_iProver_def) = sP6_iProver_def,
    definition ).

cnf(c_2822,plain,
    hAPP(sP3_iProver_def,sP6_iProver_def) = sP7_iProver_def,
    definition ).

cnf(c_2823,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sP7_iProver_def,v_e),
    inference(demodulation,[status(thm)],[c_1740,c_2819,c_2820,c_2821,c_2816,c_2817,c_2815,c_2818,c_2822]) ).

cnf(c_3968,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sP7_iProver_def,hAPP(hAPP(sP0_iProver_def,v_da____),v_m____)),
    inference(demodulation,[status(thm)],[c_57,c_2815,c_2816,c_2817,c_2818,c_2819,c_2820,c_2821,c_2822]) ).

cnf(c_5137,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,sP7_iProver_def)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(sP0_iProver_def,v_da____),v_m____)) ),
    inference(superposition,[status(thm)],[c_3968,c_190]) ).

cnf(c_6117,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(sP0_iProver_def,v_da____),v_m____),v_e),
    inference(demodulation,[status(thm)],[c_53,c_2815]) ).

cnf(c_7154,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(sP0_iProver_def,v_da____),v_m____),v_e),
    inference(superposition,[status(thm)],[c_6117,c_208]) ).

cnf(c_7244,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,hAPP(hAPP(sP0_iProver_def,v_da____),v_m____))
    | hAPP(hAPP(sP0_iProver_def,v_da____),v_m____) = v_e ),
    inference(superposition,[status(thm)],[c_7154,c_189]) ).

cnf(c_71751,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,sP7_iProver_def)
    | hAPP(hAPP(sP0_iProver_def,v_da____),v_m____) = v_e ),
    inference(superposition,[status(thm)],[c_5137,c_7244]) ).

cnf(c_72825,plain,
    ( hAPP(hAPP(sP0_iProver_def,v_da____),v_m____) = v_e
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sP7_iProver_def,v_e) ),
    inference(superposition,[status(thm)],[c_191,c_71751]) ).

cnf(c_72896,plain,
    ( hAPP(hAPP(sP0_iProver_def,v_da____),v_m____) = v_e
    | v_e = sP7_iProver_def
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sP7_iProver_def,v_e) ),
    inference(superposition,[status(thm)],[c_72825,c_209]) ).

cnf(c_72898,plain,
    ( v_e = sP7_iProver_def
    | hAPP(hAPP(sP0_iProver_def,v_da____),v_m____) = v_e ),
    inference(global_subsumption_just,[status(thm)],[c_72896,c_2823,c_72896]) ).

cnf(c_72899,plain,
    ( hAPP(hAPP(sP0_iProver_def,v_da____),v_m____) = v_e
    | v_e = sP7_iProver_def ),
    inference(renaming,[status(thm)],[c_72898]) ).

cnf(c_72963,plain,
    ( v_e = sP7_iProver_def
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e,v_e) ),
    inference(superposition,[status(thm)],[c_72899,c_6117]) ).

cnf(c_74876,plain,
    v_e = sP7_iProver_def,
    inference(superposition,[status(thm)],[c_72963,c_205]) ).

cnf(c_75350,plain,
    ( hAPP(hAPP(sP0_iProver_def,v_da____),v_m____) = v_e
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sP7_iProver_def,sP7_iProver_def) ),
    inference(superposition,[status(thm)],[c_74876,c_72825]) ).

cnf(c_75351,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sP7_iProver_def,sP7_iProver_def)
    | hAPP(hAPP(sP0_iProver_def,v_da____),v_m____) = v_e ),
    inference(superposition,[status(thm)],[c_74876,c_71751]) ).

cnf(c_75359,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(sP0_iProver_def,v_da____),v_m____),sP7_iProver_def),
    inference(superposition,[status(thm)],[c_74876,c_6117]) ).

cnf(c_75362,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sP7_iProver_def,sP7_iProver_def),
    inference(superposition,[status(thm)],[c_74876,c_2823]) ).

cnf(c_75368,plain,
    hAPP(hAPP(sP0_iProver_def,v_da____),v_m____) = v_e,
    inference(global_subsumption_just,[status(thm)],[c_75351,c_75350,c_75351]) ).

cnf(c_75370,plain,
    hAPP(hAPP(sP0_iProver_def,v_da____),v_m____) = sP7_iProver_def,
    inference(light_normalisation,[status(thm)],[c_75368,c_74876]) ).

cnf(c_80177,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sP7_iProver_def,sP7_iProver_def),
    inference(demodulation,[status(thm)],[c_75359,c_75370]) ).

cnf(c_80178,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_80177,c_75362]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW217+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jun 19 08:08:39 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 136.78/18.87  % SZS status Started for theBenchmark.p
% 136.78/18.87  % SZS status Theorem for theBenchmark.p
% 136.78/18.87  
% 136.78/18.87  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 136.78/18.87  
% 136.78/18.87  ------  iProver source info
% 136.78/18.87  
% 136.78/18.87  git: date: 2024-06-12 09:56:46 +0000
% 136.78/18.87  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 136.78/18.87  git: non_committed_changes: false
% 136.78/18.87  
% 136.78/18.87  ------ Parsing...
% 136.78/18.87  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 136.78/18.87  
% 136.78/18.87  ------ Preprocessing... sf_s  rm: 7 0s  sf_e  sf_s  rm: 2 0s  sf_e 
% 136.78/18.87  
% 136.78/18.87  ------ Preprocessing...
% 136.78/18.87  
% 136.78/18.87  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 136.78/18.87  ------ Proving...
% 136.78/18.87  ------ Problem Properties 
% 136.78/18.87  
% 136.78/18.87  
% 136.78/18.87  clauses                                 1471
% 136.78/18.87  conjectures                             1
% 136.78/18.87  EPR                                     258
% 136.78/18.87  Horn                                    1276
% 136.78/18.87  unary                                   408
% 136.78/18.87  binary                                  479
% 136.78/18.87  lits                                    3455
% 136.78/18.87  lits eq                                 697
% 136.78/18.87  fd_pure                                 0
% 136.78/18.87  fd_pseudo                               0
% 136.78/18.87  fd_cond                                 48
% 136.78/18.87  fd_pseudo_cond                          111
% 136.78/18.87  AC symbols                              0
% 136.78/18.87  
% 136.78/18.87  ------ Input Options Time Limit: Unbounded
% 136.78/18.87  
% 136.78/18.87  
% 136.78/18.87  ------ 
% 136.78/18.87  Current options:
% 136.78/18.87  ------ 
% 136.78/18.87  
% 136.78/18.87  
% 136.78/18.87  
% 136.78/18.87  
% 136.78/18.87  ------ Proving...
% 136.78/18.87  
% 136.78/18.87  
% 136.78/18.87  % SZS status Theorem for theBenchmark.p
% 136.78/18.87  
% 136.78/18.87  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 136.78/18.87  
% 136.78/18.88  
%------------------------------------------------------------------------------