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hopCoP---0.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SWV825-1 : TPTP v9.0.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n024.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 : Fri Jul 25 04:47:43 PM UTC 2025

% Result   : Unsatisfiable 108.31s 13.94s
% Output   : CNFRefutation 108.31s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)

% Comments : 
%------------------------------------------------------------------------------
cnf(507,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    inference(cnf,[status(esa)],[cls_conjecture_0]) ).

cnf(l0,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    inference(instantiation,[status(thm)],[507]) ).

cnf(487,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))),X2)
    | c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),X3),X1),X2) ),
    inference(cnf,[status(esa)],[cls_hoare__derivs_Oinsert_0]) ).

cnf(l1,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
    | c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),t_a) ),
    inference(instantiation,[status(thm)],[487]) ).

cnf(489,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X2)
    | c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2) ),
    inference(cnf,[status(esa)],[cls_cut_0]) ).

cnf(l2,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),t_a)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
    | c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    inference(instantiation,[status(thm)],[489]) ).

cnf(478,plain,
    ( ~ hBOOL(hAPP(hAPP(X0,X1),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X2,X3,X4,X5)))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X5,X6,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
    | hBOOL(hAPP(hAPP(X6,X1),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(X2,X3,X4,X5,X0,X6)))
    | c_Hoare__Mirabelle_Ohoare__derivs(X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X3,X5,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    inference(cnf,[status(esa)],[cls_conseq_1]) ).

cnf(l3,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P_H,v_Z(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,v_Q,v_c,v_P_H,v_Q_H))),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,v_P,v_Q,v_c)))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
    | hBOOL(hAPP(hAPP(v_Q_H,v_Z(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,v_Q,v_c,v_P_H,v_Q_H))),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,v_Q,v_c,v_P_H,v_Q_H)))
    | c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    inference(instantiation,[status(thm)],[478]) ).

cnf(509,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P,X0),X1))
    | hBOOL(hAPP(hAPP(v_Q,X0),X2))
    | hBOOL(hAPP(hAPP(v_P_H,v_Z(X0,X1,X2)),X1)) ),
    inference(cnf,[status(esa)],[cls_conjecture_2]) ).

cnf(l5,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,v_Q,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,v_P,v_Q,v_c)))
    | hBOOL(hAPP(hAPP(v_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,v_Q,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,v_Q,v_c,v_P_H,v_Q_H)))
    | hBOOL(hAPP(hAPP(v_P_H,v_Z(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,v_Q,v_c,v_P_H,v_Q_H))),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,v_P,v_Q,v_c))) ),
    inference(instantiation,[status(thm)],[509]) ).

cnf(482,plain,
    ( hBOOL(hAPP(hAPP(X0,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(X1,X0,X2,X3)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X1,X0,X2,X3)))
    | c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X3,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    inference(cnf,[status(esa)],[cls_conseq_0]) ).

cnf(l11,plain,
    ( hBOOL(hAPP(hAPP(v_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,v_Q,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,v_P,v_Q,v_c)))
    | c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    inference(instantiation,[status(thm)],[482]) ).

cnf(444,plain,
    ( ~ c_lessequals(X0,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))
    | c_Hoare__Mirabelle_Ohoare__derivs(X1,X0,X2) ),
    inference(cnf,[status(esa)],[cls_asm_0]) ).

cnf(l43,plain,
    ( ~ c_lessequals(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))
    | c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    inference(instantiation,[status(thm)],[444]) ).

cnf(508,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    inference(cnf,[status(esa)],[cls_conjecture_1]) ).

cnf(l4,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    inference(instantiation,[status(thm)],[508]) ).

cnf(425,plain,
    c_lessequals(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),X0),tc_fun(X1,tc_bool)),
    inference(cnf,[status(esa)],[cls_subset__insertI_0]) ).

cnf(l46,plain,
    c_lessequals(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
    inference(instantiation,[status(thm)],[425]) ).

cnf(510,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P,X0),X1))
    | ~ hBOOL(hAPP(hAPP(v_Q_H,v_Z(X0,X1,X2)),X2))
    | hBOOL(hAPP(hAPP(v_Q,X0),X2)) ),
    inference(cnf,[status(esa)],[cls_conjecture_3]) ).

cnf(l26,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,v_Q,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,v_P,v_Q,v_c)))
    | ~ hBOOL(hAPP(hAPP(v_Q_H,v_Z(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,v_Q,v_c,v_P_H,v_Q_H))),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,v_Q,v_c,v_P_H,v_Q_H)))
    | hBOOL(hAPP(hAPP(v_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,v_Q,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,v_Q,v_c,v_P_H,v_Q_H))) ),
    inference(instantiation,[status(thm)],[510]) ).

cnf(l34,plain,
    ( hBOOL(hAPP(hAPP(v_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,v_Q,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,v_P,v_Q,v_c)))
    | c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    inference(instantiation,[status(thm)],[482]) ).

cnf(483,plain,
    ( ~ hBOOL(hAPP(hAPP(X0,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(X1,X2,X0,X3)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(X1,X2,X0,X3,X4,X5)))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X4,X3,X5,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
    | c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X0,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    inference(cnf,[status(esa)],[cls_conseq_2]) ).

cnf(l30,plain,
    ( ~ hBOOL(hAPP(hAPP(v_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,v_Q,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,v_Q,v_c,v_P_H,v_Q_H)))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
    | c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    inference(instantiation,[status(thm)],[483]) ).

cnf(l13,plain,
    ( ~ hBOOL(hAPP(hAPP(v_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,v_Q,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,v_Q,v_c,v_P_H,v_Q_H)))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
    | c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    inference(instantiation,[status(thm)],[483]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l5,l11,l43,l4,l46,l26,l34,l30,l13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV825-1 : TPTP v9.0.0. Released v4.1.0.
% 0.11/0.12  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Computer : n024.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 : Tue Jul 22 12:09:49 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.36  % launching worker at depth: 4
% 0.12/0.36  % launching worker at depth: 3
% 0.12/0.36  % launching worker at depth: 2
% 0.12/0.36  % launching worker at depth: 6
% 0.12/0.36  % launching worker at depth: 8
% 0.12/0.36  % launching worker at depth: 1
% 0.12/0.36  % launching worker at depth: 5
% 0.12/0.36  % launching worker at depth: 7
% 0.12/0.36  % launching worker at depth: 9
% 2.01/0.59  % launching worker at depth: 10
% 108.31/13.94  % SZS status Theorem for theBenchmark
% 108.31/13.94  % SZS output start CNFRefutation
% See solution above
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