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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : ITP005+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n015.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 12:50:02 PM UTC 2026

% Result   : Theorem 229.17s 30.99s
% Output   : CNFRefutation 45.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   27 (  27 unt;   0 def)
%            Number of atoms       :   27 (  26 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   8 con; 0-2 aty)
%            Number of variables   :   63 (  60   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1307,axiom,
    ! [A_27a,A_27b,X0_2E0] : s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool)),c_2Epair_2EUNCURRY_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),X0_2E0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1314,axiom,
    ! [A_27a,A_27b,A_27c,X0_2E0] : s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),A_27c),X0_2E0))) = s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),A_27c),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c))),c_2Epair_2ECURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),A_27c),X0_2E0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1401,axiom,
    ! [A_27a,A_27b,A_27c,V0f_2E0] : s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),A_27c),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0))))) = s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4978,axiom,
    ! [A_27a,A_27b,X0_2E0] : s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool)),c_2Eset__relation_2Erel__to__reln_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),X0_2E0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4979,axiom,
    ! [A_27a,A_27b,X0_2E0] : s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool))),c_2Eset__relation_2Ereln__to__rel_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),X0_2E0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5132,axiom,
    ! [A_27a,A_27b] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool)),c_2Eset__relation_2Erel__to__reln_2E0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool)),c_2Epair_2EUNCURRY_2E0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5133,axiom,
    ! [A_27a,A_27b] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool))),c_2Eset__relation_2Ereln__to__rel_2E0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool))),c_2Epair_2ECURRY_2E0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5134,conjecture,
    ! [A_27a,A_27b,V0R_2E0] : s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),V0R_2E0))))) = s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),V0R_2E0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5135,negated_conjecture,
    ~ ! [A_27a,A_27b,V0R_2E0] : s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),V0R_2E0))))) = s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),V0R_2E0),
    inference(negated_conjecture,[status(cth)],[f5134]) ).

fof(f9415,plain,
    ! [X0,X1,X2] : s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool)),c_2Epair_2EUNCURRY_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2))),
    inference(cnf_transformation,[status(thm)],[f1307]) ).

fof(f9422,plain,
    ! [X0,X1,X2,X3] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),X3))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2))),c_2Epair_2ECURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),X3))),
    inference(cnf_transformation,[status(thm)],[f1314]) ).

fof(f9563,plain,
    ! [X0,X1,X2,X3] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3))))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3),
    inference(cnf_transformation,[status(thm)],[f1401]) ).

fof(f19301,plain,
    ! [X0,X1,X2] : s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool)),c_2Eset__relation_2Erel__to__reln_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2))),
    inference(cnf_transformation,[status(thm)],[f4978]) ).

fof(f19302,plain,
    ! [X0,X1,X2] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),X2))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),c_2Eset__relation_2Ereln__to__rel_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),X2))),
    inference(cnf_transformation,[status(thm)],[f4979]) ).

fof(f19740,plain,
    ! [X0,X1] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool)),c_2Eset__relation_2Erel__to__reln_2E0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool)),c_2Epair_2EUNCURRY_2E0),
    inference(cnf_transformation,[status(thm)],[f5132]) ).

fof(f19741,plain,
    ! [X0,X1] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),c_2Eset__relation_2Ereln__to__rel_2E0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),c_2Epair_2ECURRY_2E0),
    inference(cnf_transformation,[status(thm)],[f5133]) ).

fof(f19742,plain,
    ? [A_27a,A_27b,V0R_2E0] : s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),V0R_2E0))))) != s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),V0R_2E0),
    inference(pre_NNF_transformation,[status(thm)],[f5135]) ).

fof(f19743,plain,
    s(tyop_2Emin_2Efun(sK2264_skl,tyop_2Emin_2Efun(sK2265_skl,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(sK2264_skl,sK2265_skl),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(sK2264_skl,tyop_2Emin_2Efun(sK2265_skl,tyop_2Emin_2Ebool)),sK2266_skl))))) != s(tyop_2Emin_2Efun(sK2264_skl,tyop_2Emin_2Efun(sK2265_skl,tyop_2Emin_2Ebool)),sK2266_skl),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2264_skl,sK2265_skl,sK2266_skl]),skolemize(A_27a,sK2264_skl),skolemize(A_27b,sK2265_skl),skolemize(V0R_2E0,sK2266_skl)],[f19742]) ).

fof(f19744,plain,
    s(tyop_2Emin_2Efun(sK2264_skl,tyop_2Emin_2Efun(sK2265_skl,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(sK2264_skl,sK2265_skl),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(sK2264_skl,tyop_2Emin_2Efun(sK2265_skl,tyop_2Emin_2Ebool)),sK2266_skl))))) != s(tyop_2Emin_2Efun(sK2264_skl,tyop_2Emin_2Efun(sK2265_skl,tyop_2Emin_2Ebool)),sK2266_skl),
    inference(cnf_transformation,[status(thm)],[f19743]) ).

fof(f28195,plain,
    ! [X0,X1,X2] : s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool)),c_2Epair_2EUNCURRY_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2))),
    inference(backward_demodulation,[status(thm)],[f19740,f19301]) ).

fof(f28196,plain,
    ! [X0,X1,X2] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),X2))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),c_2Epair_2ECURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),X2))),
    inference(backward_demodulation,[status(thm)],[f19741,f19302]) ).

fof(f28962,plain,
    s(tyop_2Emin_2Efun(sK2264_skl,tyop_2Emin_2Efun(sK2265_skl,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(sK2264_skl,sK2265_skl),tyop_2Emin_2Ebool),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(sK2264_skl,tyop_2Emin_2Efun(sK2265_skl,tyop_2Emin_2Ebool)),sK2266_skl))))) != s(tyop_2Emin_2Efun(sK2264_skl,tyop_2Emin_2Efun(sK2265_skl,tyop_2Emin_2Ebool)),sK2266_skl),
    inference(backward_demodulation,[status(thm)],[f28965,f19744]) ).

fof(f28965,plain,
    ! [X0,X1,X2] : s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2))),
    inference(forward_demodulation,[status(thm)],[f9415,f28195]) ).

fof(f28966,plain,
    ! [X0,X1,X2] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),X2))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),X2))),
    inference(forward_demodulation,[status(thm)],[f9422,f28196]) ).

fof(f29012,plain,
    s(tyop_2Emin_2Efun(sK2264_skl,tyop_2Emin_2Efun(sK2265_skl,tyop_2Emin_2Ebool)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(sK2264_skl,sK2265_skl),tyop_2Emin_2Ebool),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(sK2264_skl,tyop_2Emin_2Efun(sK2265_skl,tyop_2Emin_2Ebool)),sK2266_skl))))) != s(tyop_2Emin_2Efun(sK2264_skl,tyop_2Emin_2Efun(sK2265_skl,tyop_2Emin_2Ebool)),sK2266_skl),
    inference(forward_demodulation,[status(thm)],[f28966,f28962]) ).

fof(f29013,plain,
    s(tyop_2Emin_2Efun(sK2264_skl,tyop_2Emin_2Efun(sK2265_skl,tyop_2Emin_2Ebool)),sK2266_skl) != s(tyop_2Emin_2Efun(sK2264_skl,tyop_2Emin_2Efun(sK2265_skl,tyop_2Emin_2Ebool)),sK2266_skl),
    inference(forward_demodulation,[status(thm)],[f9563,f29012]) ).

fof(f29014,plain,
    $false,
    inference(trivial_equality_resolution,[status(thm)],[f29013]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : ITP005+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44  % Computer : n015.cluster.edu
% 0.17/0.44  % Model    : x86_64 x86_64
% 0.17/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44  % Memory   : 8046.5625MB
% 0.17/0.44  % OS       : Linux 6.8.0-71-generic
% 0.17/0.44  % CPULimit : 300
% 0.17/0.44  % WCLimit  : 300
% 0.17/0.44  % DateTime : Sun Sep 20 21:44:21 UTC 2026
% 0.17/0.44  % CPUTime  : 
% 1.95/2.23  % Drodi V4.1.1
% 229.17/30.99  % Refutation found
% 229.17/30.99  % SZS status Theorem for theBenchmark: Theorem is valid
% 229.17/30.99  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 16.60/31.45  % Elapsed time: 30.981681 seconds
% 16.60/31.45  % CPU time: 230.942813 seconds
% 16.60/31.45  % Total memory used: 2.406 GB
% 16.60/31.45  % Net memory used: 2.391 GB
%------------------------------------------------------------------------------