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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWW211+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n004.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 : Thu Sep 24 03:07:26 PM UTC 2026

% Result   : Theorem 38.58s 10.53s
% Output   : CNFRefutation 39.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   38 (  32 unt;   0 def)
%            Number of atoms       :   53 (  15 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   35 (  20   ~;  12   |;   0   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   26 (  26 usr;  11 con; 0-5 aty)
%            Number of variables   :   44 (  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,axiom,
    ! [V_xa_2,V_gb_2,V_fa_2,T_c,T_a,T_b] : hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_fa_2,V_gb_2),V_xa_2) = hAPP(V_fa_2,hAPP(V_gb_2,V_xa_2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f48,axiom,
    ! [V_z,V_x,V_y,T_a] :
      ( class_Orderings_Oorder(T_a)
     => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x)
       => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y)
         => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f274,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),c_Complex_ORe(c_Complex_Ocomplex_OComplex(v_x____,v_y____)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),c_Complex_OIm(c_Complex_Ocomplex_OComplex(v_x____,v_y____)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f299,axiom,
    ! [V_y,V_x] : c_Complex_OIm(c_Complex_Ocomplex_OComplex(V_x,V_y)) = V_y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f300,axiom,
    ! [V_y,V_x] : c_Complex_ORe(c_Complex_Ocomplex_OComplex(V_x,V_y)) = V_x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f348,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f358,axiom,
    ! [V_x] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = V_x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f509,axiom,
    c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f541,axiom,
    ! [V_k] : c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_k) = V_k,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1144,axiom,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1230,conjecture,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),v_n____)),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),v_e____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1231,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),v_n____)),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),v_e____),
    inference(negated_conjecture,[status(cth)],[f1230]) ).

fof(f1255,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(c_Fun_Ocomp(X0,X1,X2,X3,X4),X5) = hAPP(X3,hAPP(X4,X5)),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f1370,plain,
    ! [V_z,V_x,V_y,T_a] :
      ( c_Orderings_Oord__class_Oless(T_a,V_z,V_x)
      | ~ c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y)
      | ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x)
      | ~ class_Orderings_Oorder(T_a) ),
    inference(pre_NNF_transformation,[status(thm)],[f48]) ).

fof(f1371,plain,
    ! [T_a] :
      ( ! [V_x,V_y] :
          ( ! [V_z] :
              ( c_Orderings_Oord__class_Oless(T_a,V_z,V_x)
              | ~ c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y) )
          | ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) )
      | ~ class_Orderings_Oorder(T_a) ),
    inference(miniscoping,[status(thm)],[f1370]) ).

fof(f1372,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless(X0,X3,X2)
      | ~ c_Orderings_Oord__class_Oless__eq(X0,X3,X1)
      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
      | ~ class_Orderings_Oorder(X0) ),
    inference(cnf_transformation,[status(thm)],[f1371]) ).

fof(f2080,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),c_Complex_ORe(c_Complex_Ocomplex_OComplex(v_x____,v_y____)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),c_Complex_OIm(c_Complex_Ocomplex_OComplex(v_x____,v_y____)))))),
    inference(cnf_transformation,[status(thm)],[f274]) ).

fof(f2153,plain,
    ! [X0,X1] : c_Complex_OIm(c_Complex_Ocomplex_OComplex(X0,X1)) = X1,
    inference(cnf_transformation,[status(thm)],[f299]) ).

fof(f2154,plain,
    ! [X0,X1] : c_Complex_ORe(c_Complex_Ocomplex_OComplex(X0,X1)) = X0,
    inference(cnf_transformation,[status(thm)],[f300]) ).

fof(f2284,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
    inference(cnf_transformation,[status(thm)],[f348]) ).

fof(f2320,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = X0,
    inference(cnf_transformation,[status(thm)],[f358]) ).

fof(f2765,plain,
    c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)),
    inference(cnf_transformation,[status(thm)],[f509]) ).

fof(f2873,plain,
    ! [X0] : c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0) = X0,
    inference(cnf_transformation,[status(thm)],[f541]) ).

fof(f4421,plain,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    inference(cnf_transformation,[status(thm)],[f1144]) ).

fof(f4507,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),v_n____)),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),v_e____),
    inference(cnf_transformation,[status(thm)],[f1231]) ).

fof(f4692,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),v_e____),
    inference(backward_demodulation,[status(thm)],[f1255,f4507]) ).

fof(f6712,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),X0)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_e____)
      | ~ class_Orderings_Oorder(tc_RealDef_Oreal) ),
    inference(resolution,[status(thm)],[f1372,f4692]) ).

fof(f6810,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),X0)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_e____) ),
    inference(backward_subsumption_resolution,[status(thm)],[f6712,f4421]) ).

fof(f7072,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),c_Complex_ORe(c_Complex_Ocomplex_OComplex(v_x____,v_y____)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),c_Complex_OIm(c_Complex_Ocomplex_OComplex(v_x____,v_y____))))),v_e____),
    inference(resolution,[status(thm)],[f2080,f6810]) ).

fof(f9503,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),c_Complex_ORe(c_Complex_Ocomplex_OComplex(v_x____,v_y____)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),v_e____),
    inference(backward_demodulation,[status(thm)],[f2153,f7072]) ).

fof(f9721,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),v_e____),
    inference(forward_demodulation,[status(thm)],[f2154,f9503]) ).

fof(f16387,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)))))),
    inference(backward_demodulation,[status(thm)],[f16388,f2284]) ).

fof(f16388,plain,
    c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_OBit1(c_Int_OPls),
    inference(forward_demodulation,[status(thm)],[f2873,f2765]) ).

fof(f16395,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)))))),
    inference(forward_demodulation,[status(thm)],[f16388,f16387]) ).

fof(f42801,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = X0,
    inference(forward_demodulation,[status(thm)],[f16388,f2320]) ).

fof(f42802,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),v_e____),
    inference(backward_demodulation,[status(thm)],[f42803,f16395]) ).

fof(f42803,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))))) = X0,
    inference(forward_demodulation,[status(thm)],[f16388,f42801]) ).

fof(f42899,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f42802,f9721]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWW211+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/5.45  % Computer : n004.cluster.edu
% 0.18/5.45  % Model    : x86_64 x86_64
% 0.18/5.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45  % Memory   : 8046.5625MB
% 0.18/5.45  % OS       : Linux 6.8.0-71-generic
% 0.18/5.45  % CPULimit : 300
% 0.18/5.45  % WCLimit  : 300
% 0.18/5.45  % DateTime : Mon Sep 21 09:40:57 UTC 2026
% 0.18/5.46  % CPUTime  : 
% 0.23/5.53  % Drodi V4.1.1
% 38.58/10.53  % Refutation found
% 38.58/10.53  % SZS status Theorem for theBenchmark: Theorem is valid
% 38.58/10.53  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.02/11.20  % Elapsed time: 5.735377 seconds
% 1.02/11.20  % CPU time: 40.596945 seconds
% 1.02/11.20  % Total memory used: 497.425 MB
% 1.02/11.20  % Net memory used: 477.777 MB
%------------------------------------------------------------------------------