CSE_E---1.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWV897-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n010.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 : Tue May  5 05:27:41 PM UTC 2026

% Result   : Unsatisfiable 0.51s 1.67s
% Output   : CNFRefutation 0.56s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_493)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_MGT__BodyN_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X2)),X1,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MGT__BodyN_0) ).

cnf(cls_MGT__def_0,axiom,
    c_Hoare__Mirabelle_OMGT(X1) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),X1),hAPP(c_Natural_Oevalc,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MGT__def_0) ).

cnf(cls_MGF__complete_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X1),X2),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X1),X2),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MGF__complete_0) ).

cnf(cls_com_Orecs_I5_J_0,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OCond(X9,X10,X11),X12) = hAPP(hAPP(hAPP(hAPP(hAPP(X5,X9),X10),X11),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X10,X12)),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X11,X12)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Orecs_I5_J_0) ).

cnf(cls_com_Orecs_I4_J_0,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSemi(X9,X10),X11) = hAPP(hAPP(hAPP(hAPP(X4,X9),X10),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X11)),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X10,X11)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Orecs_I4_J_0) ).

cnf(cls_com_Orecs_I3_J_0,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OLocal(X9,X10,X11),X12) = hAPP(hAPP(hAPP(hAPP(X3,X9),X10),X11),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X11,X12)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Orecs_I3_J_0) ).

cnf(cls_com_Orecs_I6_J_0,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OWhile(X9,X10),X11) = hAPP(hAPP(hAPP(X6,X9),X10),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X10,X11)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Orecs_I6_J_0) ).

cnf(cls_com_Orecs_I8_J_0,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OCall(X9,X10,X11),X12) = hAPP(hAPP(hAPP(X8,X9),X10),X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Orecs_I8_J_0) ).

cnf(cls_com_Osimps_I66_J_0,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OLocal(X9,X10,X11),X12) = hAPP(hAPP(hAPP(X3,X9),X10),X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I66_J_0) ).

cnf(cls_com_Osimps_I68_J_0,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OCond(X9,X10,X11),X12) = hAPP(hAPP(hAPP(X5,X9),X10),X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I68_J_0) ).

cnf(cls_com_Osimps_I71_J_0,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OCall(X9,X10,X11),X12) = hAPP(hAPP(hAPP(X8,X9),X10),X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I71_J_0) ).

cnf(cls_com_Orecs_I2_J_0,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OAss(X9,X10),X11) = hAPP(hAPP(X2,X9),X10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Orecs_I2_J_0) ).

cnf(cls_com_Osimps_I69_J_0,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OWhile(X9,X10),X11) = hAPP(hAPP(X6,X9),X10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I69_J_0) ).

cnf(cls_com_Osimps_I65_J_0,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OAss(X9,X10),X11) = hAPP(hAPP(X2,X9),X10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I65_J_0) ).

cnf(cls_com_Osimps_I67_J_0,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSemi(X9,X10),X11) = hAPP(hAPP(X4,X9),X10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I67_J_0) ).

cnf(cls_com_Orecs_I7_J_0,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,hAPP(c_Com_Ocom_OBODY,X9),X10) = hAPP(X7,X9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Orecs_I7_J_0) ).

cnf(cls_com_Osimps_I70_J_0,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,hAPP(c_Com_Ocom_OBODY,X9),X10) = hAPP(X7,X9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I70_J_0) ).

cnf(cls_com_Orecs_I1_J_0,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Orecs_I1_J_0) ).

cnf(cls_com_Osimps_I64_J_0,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I64_J_0) ).

cnf(cls_Body__sound__lemma_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__valids(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Body__sound__lemma_0) ).

cnf(cls_hoare__derivs_OBody_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hoare__derivs_OBody_0) ).

cnf(cls_Body1_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),hAPP(X3,X4)),hAPP(c_Com_Ocom_OBODY,X4)),hAPP(X5,X4)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),X4),X6))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X5,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X6,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X5,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X6,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Body1_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(v_G,c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),c_Com_Ocom_OBODY,tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),c_COMBB(c_Natural_Oevalc,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Com_Opname),tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),c_COMBB(c_Natural_Oevalc,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Com_Opname),tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_sup__Un__eq_0,axiom,
    hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),X1,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),X2,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,tc_bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__Un__eq_0) ).

cnf(cls_pred__subset__eq_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_COMBC(c_in(X3),X1,X3,tc_fun(X3,tc_bool),tc_bool),c_COMBC(c_in(X3),X2,X3,tc_fun(X3,tc_bool),tc_bool),tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pred__subset__eq_0) ).

cnf(cls_fcomp__assoc_0,axiom,
    c_Fun_Ofcomp(c_Fun_Ofcomp(X1,X2,X3,X4,X5),X6,X3,X5,X7) = c_Fun_Ofcomp(X1,c_Fun_Ofcomp(X2,X6,X4,X5,X7),X3,X4,X7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fcomp__assoc_0) ).

cnf(cls_o__assoc_0,axiom,
    c_Fun_Ocomp(X1,c_Fun_Ocomp(X2,X3,X4,X5,X6),X5,X7,X6) = c_Fun_Ocomp(c_Fun_Ocomp(X1,X2,X5,X7,X4),X3,X4,X7,X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_o__assoc_0) ).

cnf(cls_inj__on__insert_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1)))
    | ~ c_Fun_Oinj__on(X2,c_Set_Oinsert(X3,X4,X5),X5,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__insert_1) ).

cnf(cls_pred__subset__eq_1,axiom,
    ( c_lessequals(c_COMBC(c_in(X1),X2,X1,tc_fun(X1,tc_bool),tc_bool),c_COMBC(c_in(X1),X3,X1,tc_fun(X1,tc_bool),tc_bool),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pred__subset__eq_1) ).

cnf(cls_comp__cong_0,axiom,
    ( hAPP(c_Fun_Ocomp(X1,X2,X7,X8,X9),X3) = hAPP(c_Fun_Ocomp(X4,X5,X10,X8,X11),X6)
    | hAPP(X1,hAPP(X2,X3)) != hAPP(X4,hAPP(X5,X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comp__cong_0) ).

cnf(cls_inj__on__imageI_0,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)
    | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X5,X6,X4),X3,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__imageI_0) ).

cnf(cls_BodyN_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),X1,tc_Hoare__Mirabelle_Otriple(X2)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_BodyN_0) ).

cnf(cls_inj__on__insert_2,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
    | hBOOL(hAPP(hAPP(c_in(X5),hAPP(X1,X2)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5)))
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__insert_2) ).

cnf(cls_comp__inj__on_0,axiom,
    ( c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4)
    | ~ c_Fun_Oinj__on(X2,X6,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comp__inj__on_0) ).

cnf(cls_pred__equals__eq_0,axiom,
    ( X2 = X3
    | c_COMBC(c_in(X1),X2,X1,tc_fun(X1,tc_bool),tc_bool) != c_COMBC(c_in(X1),X3,X1,tc_fun(X1,tc_bool),tc_bool) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pred__equals__eq_0) ).

cnf(cls_o__eq__dest_0,axiom,
    ( hAPP(X1,hAPP(X2,X9)) = hAPP(X6,hAPP(X7,X9))
    | c_Fun_Ocomp(X1,X2,X3,X4,X5) != c_Fun_Ocomp(X6,X7,X8,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_o__eq__dest_0) ).

cnf(cls_o__eq__id__dest_0,axiom,
    ( hAPP(X1,hAPP(X2,X7)) = hAPP(X6,X7)
    | c_Fun_Ocomp(X1,X2,X3,X4,X5) != c_Fun_Ocomp(c_Fun_Oid(X4),X6,X4,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_o__eq__id__dest_0) ).

cnf(cls_range__composition_0,axiom,
    c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X4) = c_Set_Oimage(X1,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X3),X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_range__composition_0) ).

cnf(cls_Comp_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),c_Com_Ocom_OSemi(X4,X5)),X6),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X7),X5),X6),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),X4),X7),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comp_0) ).

cnf(cls_vimage__compose_0,axiom,
    c_Set_Ovimage(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4) = c_Set_Ovimage(X2,c_Set_Ovimage(X1,X6,X3,X4),X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__compose_0) ).

cnf(cls_image__compose_0,axiom,
    c_Set_Oimage(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4) = c_Set_Oimage(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__compose_0) ).

cnf(cls_image__image_0,axiom,
    c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6) = c_Set_Oimage(c_COMBB(X1,X2,X5,X6,X4),X3,X4,X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__image_0) ).

cnf(cls_triple_Osplit_0,axiom,
    ( hBOOL(hAPP(X1,hAPP(hAPP(hAPP(X2,X3),X4),X5)))
    | ~ hBOOL(hAPP(X1,c_Hoare__Mirabelle_Otriple_Otriple__case(X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),X3),X4),X5),t_b,t_a))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_triple_Osplit_0) ).

cnf(cls_triple_Osplit__asm_0,axiom,
    ( hBOOL(hAPP(X1,hAPP(hAPP(hAPP(X2,X3),X4),X5)))
    | ~ hBOOL(hAPP(X1,c_Hoare__Mirabelle_Otriple_Otriple__case(X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),X3),X4),X5),t_b,t_a))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_triple_Osplit__asm_0) ).

cnf(cls_weak__Body_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_weak__Body_0) ).

cnf(cls_vimage__singleton__eq_0,axiom,
    ( hAPP(X1,X2) = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X4,X5))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__singleton__eq_0) ).

cnf(cls_image__diff__subset_0,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__diff__subset_0) ).

cnf(cls_ATP__Linkup_OCOMBS__def_0,axiom,
    hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),hAPP(X2,X6)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBS__def_0) ).

cnf(cls_COMBS__def_0,axiom,
    hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),hAPP(X2,X6)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBS__def_0) ).

cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom,
    hAPP(c_COMBC(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBC__def_0) ).

cnf(cls_COMBC__def_0,axiom,
    hAPP(c_COMBC(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBC__def_0) ).

cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom,
    hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBB__def_0) ).

cnf(cls_COMBB__def_0,axiom,
    hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBB__def_0) ).

cnf(cls_fcomp__apply_0,axiom,
    hAPP(c_Fun_Ofcomp(X1,X2,X3,X4,X5),X6) = hAPP(X2,hAPP(X1,X6)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fcomp__apply_0) ).

cnf(cls_o__apply_0,axiom,
    hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_o__apply_0) ).

cnf(cls_o__eq__dest__lhs_0,axiom,
    hAPP(X1,hAPP(X2,X3)) = hAPP(c_Fun_Ocomp(X1,X2,X4,X5,X6),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_o__eq__dest__lhs_0) ).

cnf(cls_inj__image__mem__iff_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ c_Fun_Oinj__on(X5,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__mem__iff_0) ).

cnf(cls_fcomp__def_0,axiom,
    hAPP(c_Fun_Ofcomp(X1,X2,t_a,X3,X4),v_x) = hAPP(X2,hAPP(X1,v_x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fcomp__def_0) ).

cnf(cls_o__def_0,axiom,
    hAPP(c_Fun_Ocomp(X1,X2,X3,X4,t_a),v_x) = hAPP(X1,hAPP(X2,v_x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_o__def_0) ).

cnf(cls_fcomp__def__raw_0,axiom,
    hAPP(c_Fun_Ofcomp(v_f,v_g,t_a,t_b,t_c),v_x) = hAPP(v_g,hAPP(v_f,v_x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fcomp__def__raw_0) ).

cnf(cls_comp__def__raw_0,axiom,
    hAPP(c_Fun_Ocomp(v_f,v_g,t_a,t_b,t_c),v_x) = hAPP(v_f,hAPP(v_g,v_x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comp__def__raw_0) ).

cnf(cls_inj__image__subset__iff_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
    | ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__subset__iff_0) ).

cnf(cls_vimage__singleton__eq_1,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_Oinsert(hAPP(X3,X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X1,X4))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__singleton__eq_1) ).

cnf(cls_inj__on__image__set__diff_0,axiom,
    ( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X3,X6,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X6,tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__image__set__diff_0) ).

cnf(cls_evalc__elim__cases_I5_J_2,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X4),X2),X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X5,X4,X1)),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc__elim__cases_I5_J_2) ).

cnf(cls_vimage__subsetI_0,axiom,
    ( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),X5,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__subsetI_0) ).

cnf(cls_image__set__diff_0,axiom,
    ( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__set__diff_0) ).

cnf(cls_vimageD_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimageD_0) ).

cnf(cls_vimageE_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimageE_0) ).

cnf(cls_vimage__insert_0,axiom,
    c_Set_Ovimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__insert_0) ).

cnf(cls_evalc__elim__cases_I5_J_1,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X2),X4))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X3,X5)),X2),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc__elim__cases_I5_J_1) ).

cnf(cls_inj__image__mem__iff_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4))
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__mem__iff_1) ).

cnf(cls_evalc__elim__cases_I5_J_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))
    | hBOOL(hAPP(X4,X2))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X4,X5,X1)),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc__elim__cases_I5_J_0) ).

cnf(cls_vimage__code_0,axiom,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__code_0) ).

cnf(cls_inj__image__subset__iff_1,axiom,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__subset__iff_1) ).

cnf(cls_evalc_OBody_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X1)),X2),X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc_OBody_0) ).

cnf(cls_image__vimage__subset_0,axiom,
    c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__vimage__subset_0) ).

cnf(cls_vimage__Un_0,axiom,
    c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__Un_0) ).

cnf(cls_vimage__Diff_0,axiom,
    c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__Diff_0) ).

cnf(cls_image__Un_0,axiom,
    c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__Un_0) ).

cnf(cls_vimageI_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimageI_0) ).

cnf(cls_vimageI2_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimageI2_0) ).

cnf(cls_vimage__eq_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__eq_1) ).

cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
    ( X2 = X5
    | c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__Un__image__eq__iff_0) ).

cnf(cls_rangeI_0,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rangeI_0) ).

cnf(cls_diff__single__insert_0,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__single__insert_0) ).

cnf(cls_subset__insert__iff_3,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_3) ).

cnf(cls_imageI_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_imageI_0) ).

cnf(cls_image__eqI_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__eqI_0) ).

cnf(cls_image__iff_2,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__iff_2) ).

cnf(cls_rev__image__eqI_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).

cnf(cls_evalc__elim__cases_I6_J_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X1)),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc__elim__cases_I6_J_0) ).

cnf(cls_evalc_OIfTrue_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X2),X4),X5))
    | ~ hBOOL(hAPP(X1,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc_OIfTrue_0) ).

cnf(cls_evalc_OIfFalse_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5))
    | hBOOL(hAPP(X1,X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X4),X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc_OIfFalse_0) ).

cnf(cls_subset__insert__iff_4,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_4) ).

cnf(cls_Body__triple__valid__Suc_0,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),X2)
    | ~ c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Body__triple__valid__Suc_0) ).

cnf(cls_evalc_OWhileTrue_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X2)),X3),X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X2)),X5),X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X2),X3),X5))
    | ~ hBOOL(hAPP(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc_OWhileTrue_0) ).

cnf(cls_image__subset__iff_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X6))
    | ~ c_lessequals(c_Set_Oimage(X2,X6,X5,X1),X4,tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__subset__iff_0) ).

cnf(cls_inj__image__eq__iff_0,axiom,
    ( X2 = X5
    | c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__eq__iff_0) ).

cnf(cls_evaln__elim__cases_I6_J_1,axiom,
    ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X3,X2,X4),X4)
    | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__elim__cases_I6_J_1) ).

cnf(cls_inj__vimage__image__eq_0,axiom,
    ( c_Set_Ovimage(X1,c_Set_Oimage(X1,X2,X3,X4),X3,X4) = X2
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__vimage__image__eq_0) ).

cnf(cls_id__fcomp_0,axiom,
    c_Fun_Ofcomp(c_Fun_Oid(X1),X2,X1,X1,X3) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_id__fcomp_0) ).

cnf(cls_id__o_0,axiom,
    c_Fun_Ocomp(c_Fun_Oid(X1),X2,X1,X1,X3) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_id__o_0) ).

cnf(cls_fcomp__id_0,axiom,
    c_Fun_Ofcomp(X1,c_Fun_Oid(X2),X3,X2,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fcomp__id_0) ).

cnf(cls_o__id_0,axiom,
    c_Fun_Ocomp(X1,c_Fun_Oid(X2),X2,X3,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_o__id_0) ).

cnf(cls_Body__triple__valid__Suc_1,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),X2)
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Body__triple__valid__Suc_1) ).

cnf(cls_vimage__mono_0,axiom,
    ( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__mono_0) ).

cnf(cls_image__mono_0,axiom,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__mono_0) ).

cnf(cls_subset__image__iff_2,axiom,
    ( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__image__iff_2) ).

cnf(cls_vimage__code_1,axiom,
    ( hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))
    | ~ hBOOL(hAPP(X2,hAPP(X1,X5))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__code_1) ).

cnf(cls_evaln_OWhileTrue_0,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X5)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X6,X4,X5)
    | ~ c_Natural_Oevaln(X2,X3,X4,X6)
    | ~ hBOOL(hAPP(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln_OWhileTrue_0) ).

cnf(cls_subset__insert__iff_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_0) ).

cnf(cls_evaln__elim__cases_I5_J_2,axiom,
    ( c_Natural_Oevaln(X1,X2,X3,X4)
    | c_Natural_Oevaln(X5,X2,X3,X4)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X6,X5,X1),X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__elim__cases_I5_J_2) ).

cnf(cls_evaln_OSemi_0,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)
    | ~ c_Natural_Oevaln(X2,X6,X4,X5)
    | ~ c_Natural_Oevaln(X1,X3,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln_OSemi_0) ).

cnf(cls_triple__valid__def2_0,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ c_Natural_Oevaln(X4,X5,X6,X3)
    | ~ hBOOL(hAPP(hAPP(X7,X2),X5))
    | ~ c_Hoare__Mirabelle_Otriple__valid(X6,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X7),X4),X1),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_triple__valid__def2_0) ).

cnf(cls_insert__image_0,axiom,
    ( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__image_0) ).

cnf(cls_evalc_OSemi_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSemi(X1,X2)),X3),X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X2),X5),X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X3),X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc_OSemi_0) ).

cnf(cls_image__insert_0,axiom,
    c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__insert_0) ).

cnf(cls_evaln__elim__cases_I6_J_0,axiom,
    ( X1 = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X2,X1,X3,X4))
    | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X2),X3,X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__elim__cases_I6_J_0) ).

cnf(cls_inj__on__Un_0,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__Un_0) ).

cnf(cls_inj__on__Un_1,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X5,X2,tc_fun(X3,tc_bool)),X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__Un_1) ).

cnf(cls_UnE_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X4,X3,tc_fun(X1,tc_bool)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnE_0) ).

cnf(cls_evaln__elim__cases_I5_J_1,axiom,
    ( c_Natural_Oevaln(X3,X2,X4,X5)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X6),X2,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__elim__cases_I5_J_1) ).

cnf(cls_doubleton__eq__iff_0,axiom,
    ( X1 = X5
    | X1 = X4
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_0) ).

cnf(cls_doubleton__eq__iff_1,axiom,
    ( X2 = X4
    | X1 = X4
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_1) ).

cnf(cls_doubleton__eq__iff_2,axiom,
    ( X1 = X5
    | X2 = X5
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_2) ).

cnf(cls_doubleton__eq__iff_3,axiom,
    ( X2 = X4
    | X2 = X5
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_3) ).

cnf(cls_evaln__elim__cases_I5_J_0,axiom,
    ( c_Natural_Oevaln(X1,X2,X3,X4)
    | hBOOL(hAPP(X5,X2))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X5,X6,X1),X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__elim__cases_I5_J_0) ).

cnf(cls_Diff__insert2_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__insert2_0) ).

cnf(cls_singletonE_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singletonE_0) ).

cnf(cls_DiffE_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DiffE_1) ).

cnf(cls_inj__on__insert_0,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__insert_0) ).

cnf(cls_insert__Diff_0,axiom,
    ( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__Diff_0) ).

cnf(cls_evaln_OIfTrue_0,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)
    | ~ c_Natural_Oevaln(X2,X4,X5,X6)
    | ~ hBOOL(hAPP(X1,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln_OIfTrue_0) ).

cnf(cls_inj__on__diff_0,axiom,
    ( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__diff_0) ).

cnf(cls_evaln_OBody_0,axiom,
    ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,c_Suc(X3),X4)
    | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln_OBody_0) ).

cnf(cls_hoare__derivs_OSkip_0,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),c_Com_Ocom_OSKIP),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hoare__derivs_OSkip_0) ).

cnf(cls_evaln_OIfFalse_0,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)
    | hBOOL(hAPP(X1,X4))
    | ~ c_Natural_Oevaln(X3,X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln_OIfFalse_0) ).

cnf(cls_hoare__derivs_Oinsert_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X3,tc_Hoare__Mirabelle_Otriple(X4)),X4)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X4)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_bool)),tc_Hoare__Mirabelle_Otriple(X4)),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hoare__derivs_Oinsert_0) ).

cnf(cls_inj__onD_0,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ c_Fun_Oinj__on(X1,X4,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__onD_0) ).

cnf(cls_inj__on__def_0,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
    | ~ c_Fun_Oinj__on(X1,X5,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__def_0) ).

cnf(cls_inj__on__iff_0,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
    | ~ c_Fun_Oinj__on(X1,X5,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__iff_0) ).

cnf(cls_inj__on__contraD_0,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
    | ~ c_Fun_Oinj__on(X1,X5,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__contraD_0) ).

cnf(cls_subset__inj__on_0,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X5,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__inj__on_0) ).

cnf(cls_DiffE_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DiffE_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_DiffI_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DiffI_0) ).

cnf(cls_Diff__iff_2,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__iff_2) ).

cnf(cls_insert__Diff__single_0,axiom,
    c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__Diff__single_0) ).

cnf(cls_evaln__Suc_0,axiom,
    ( c_Natural_Oevaln(X1,X2,c_Suc(X3),X4)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__Suc_0) ).

cnf(cls_evalc__WHILE__case_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | X3 = X2
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X4)),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc__WHILE__case_0) ).

cnf(cls_Un__mono_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__mono_0) ).

cnf(cls_Diff__mono_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__mono_0) ).

cnf(cls_Diff__insert_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__insert_0) ).

cnf(cls_insertE_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | X2 = X4
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertE_0) ).

cnf(cls_Un__Diff_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Diff_0) ).

cnf(cls_derivs__insertD_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X4,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_derivs__insertD_0) ).

cnf(cls_Diff__subset__conv_1,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__subset__conv_1) ).

cnf(cls_Diff__subset__conv_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__subset__conv_0) ).

cnf(cls_subset__singletonD_0,axiom,
    ( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__singletonD_0) ).

cnf(cls_sup1E_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1E_0) ).

cnf(cls_UnCI_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnCI_1) ).

cnf(cls_UnCI_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnCI_0) ).

cnf(cls_triple_Orecs_0,axiom,
    c_Hoare__Mirabelle_Otriple_Otriple__rec(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),X4),X5),X2,X6) = hAPP(hAPP(hAPP(X1,X3),X4),X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_triple_Orecs_0) ).

cnf(cls_triple_Ocases_0,axiom,
    c_Hoare__Mirabelle_Otriple_Otriple__case(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),X4),X5),X2,X6) = hAPP(hAPP(hAPP(X1,X3),X4),X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_triple_Ocases_0) ).

cnf(cls_eval__eq_1,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))
    | ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__eq_1) ).

cnf(cls_evaln__evalc_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))
    | ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__evalc_0) ).

cnf(cls_com__det_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X4),X1))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X4),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com__det_0) ).

cnf(cls_doubleton__eq__iff_4,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_4) ).

cnf(cls_singleton__iff_1,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__iff_1) ).

cnf(cls_injD_0,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_injD_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_Diff__insert__absorb_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__insert__absorb_0) ).

cnf(cls_insert__Diff__if_1,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__Diff__if_1) ).

cnf(cls_insert__iff_2,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_2) ).

cnf(cls_insertCI_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_0) ).

cnf(cls_double__diff_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X3
    | ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__diff_0) ).

cnf(cls_Un__least_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__least_0) ).

cnf(cls_Un__subset__iff_2,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_2) ).

cnf(cls_insert__subset_2,axiom,
    ( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_2) ).

cnf(cls_subset__insert_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert_0) ).

cnf(cls_subset__insert__iff_1,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_1) ).

cnf(cls_evaln__WHILE__case_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | X3 = X2
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X4),X2,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__WHILE__case_0) ).

cnf(cls_Un__assoc_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__assoc_0) ).

cnf(cls_Un__left__commute_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).

cnf(cls_empty__is__image_0,axiom,
    ( X3 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
    | c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oimage(X2,X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__is__image_0) ).

cnf(cls_image__is__empty_0,axiom,
    ( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_Set_Oimage(X1,X2,X3,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__is__empty_0) ).

cnf(cls_Un__subset__iff_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_0) ).

cnf(cls_Un__subset__iff_1,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).

cnf(cls_insert__Diff1_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__Diff1_0) ).

cnf(cls_insert__code_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | X3 = X2
    | ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_0) ).

cnf(cls_subset__insert_1,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert_1) ).

cnf(cls_subset__insert__iff_2,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_2) ).

cnf(cls_insert__mono_0,axiom,
    ( c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__mono_0) ).

cnf(cls_evalc_OWhileFalse_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X2)),X3),X3))
    | hBOOL(hAPP(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc_OWhileFalse_0) ).

cnf(cls_subset__iff_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__iff_0) ).

cnf(cls_set__rev__mp_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__rev__mp_0) ).

cnf(cls_subsetD_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subsetD_0) ).

cnf(cls_set__mp_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__mp_0) ).

cnf(cls_insert__subset_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_0) ).

cnf(cls_Un__insert__left_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__insert__left_0) ).

cnf(cls_Un__insert__right_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).

cnf(cls_evaln__elim__cases_I1_J_0,axiom,
    ( X1 = X2
    | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__elim__cases_I1_J_0) ).

cnf(cls_insert__ident_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X2))
    | X2 = X4
    | c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__ident_0) ).

cnf(cls_sup1CI_1,axiom,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(hAPP(X1,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_1) ).

cnf(cls_sup1CI_0,axiom,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_0) ).

cnf(cls_Body__triple__valid__0_0,axiom,
    c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Com_Ocom_OBODY,X3)),X4),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Body__triple__valid__0_0) ).

cnf(cls_bex__empty_0,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bex__empty_0) ).

cnf(cls_insert__subset_1,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_1) ).

cnf(cls_triple_Oinject_0,axiom,
    ( X2 = X5
    | hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),X3),X4) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X5),X6),X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_triple_Oinject_0) ).

cnf(cls_triple_Oinject_1,axiom,
    ( X3 = X6
    | hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),X3),X4) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X5),X6),X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_triple_Oinject_1) ).

cnf(cls_triple_Oinject_2,axiom,
    ( X4 = X7
    | hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),X3),X4) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X5),X6),X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_triple_Oinject_2) ).

cnf(cls_ball__empty_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ball__empty_0) ).

cnf(cls_Diff__partition_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__partition_0) ).

cnf(cls_insert__is__Un_0,axiom,
    c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X2,tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).

cnf(cls_le__sup__iff_2,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_2) ).

cnf(cls_sup__least_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__least_0) ).

cnf(cls_le__supI_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI_0) ).

cnf(cls_singleton__inject_0,axiom,
    ( X1 = X3
    | c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) != c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__inject_0) ).

cnf(cls_ex__in__conv_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).

cnf(cls_empty__iff_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__iff_0) ).

cnf(cls_emptyE_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_emptyE_0) ).

cnf(cls_inf__sup__aci_I6_J_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).

cnf(cls_sup__assoc_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__assoc_0) ).

cnf(cls_inf__sup__aci_I7_J_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).

cnf(cls_sup__left__commute_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__left__commute_0) ).

cnf(cls_derivs__insertD_1,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X4,X2,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_derivs__insertD_1) ).

cnf(cls_vimage__UNIV_0,axiom,
    c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__UNIV_0) ).

cnf(cls_vimage__empty_0,axiom,
    c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__empty_0) ).

cnf(cls_image__empty_0,axiom,
    c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__empty_0) ).

cnf(cls_empty__is__image_1,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__is__image_1) ).

cnf(cls_le__iff__diff__le__0_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__diff__le__0_1) ).

cnf(cls_insert__commute_0,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__commute_0) ).

cnf(cls_subset__trans_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__trans_0) ).

cnf(cls_insertCI_1,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_1) ).

cnf(cls_insertI1_0,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertI1_0) ).

cnf(cls_insert__iff_1,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_1) ).

cnf(cls_le__eqI_1,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
    | ~ c_lessequals(X5,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__eqI_1) ).

cnf(cls_le__eqI_0,axiom,
    ( c_lessequals(X5,X4,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__eqI_0) ).

cnf(cls_le__sup__iff_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_0) ).

cnf(cls_le__supE_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supE_0) ).

cnf(cls_le__sup__iff_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_1) ).

cnf(cls_le__supE_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supE_1) ).

cnf(cls_Un__Diff__cancel2_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Diff__cancel2_0) ).

cnf(cls_Diff__idemp_0,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__idemp_0) ).

cnf(cls_Un__left__absorb_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__left__absorb_0) ).

cnf(cls_Un__Diff__cancel_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Diff__cancel_0) ).

cnf(cls_subset__insertI2_0,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).

cnf(cls_evaln_OWhileFalse_0,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X3)
    | hBOOL(hAPP(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln_OWhileFalse_0) ).

cnf(cls_inj__on__empty_0,axiom,
    c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__empty_0) ).

cnf(cls_insert__code_2,axiom,
    ( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_2) ).

cnf(cls_weaken_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_weaken_0) ).

cnf(cls_thin_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_lessequals(X4,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_thin_0) ).

cnf(cls_sup__fun__eq_0,axiom,
    ( hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(t_a,X1)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X2,v_x),hAPP(X3,v_x),X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__fun__eq_0) ).

cnf(cls_fun__diff__def_0,axiom,
    ( hAPP(c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(t_a,X1)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X2,v_x),hAPP(X3,v_x),X1)
    | ~ class_HOL_Ominus(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__diff__def_0) ).

cnf(cls_le__iff__diff__le__0_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__diff__le__0_0) ).

cnf(cls_evalc__elim__cases_I1_J_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),X2),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc__elim__cases_I1_J_0) ).

cnf(cls_le__supI1_0,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI1_0) ).

cnf(cls_le__supI2_0,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI2_0) ).

cnf(cls_vimage__id_0,axiom,
    c_Set_Ovimage(c_Fun_Oid(X1),X2,X1,X1) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__id_0) ).

cnf(cls_image__id_0,axiom,
    c_Set_Oimage(c_Fun_Oid(X1),X2,X1,X1) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__id_0) ).

cnf(cls_inj__on__id_0,axiom,
    c_Fun_Oinj__on(c_Fun_Oid(X1),X2,X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__id_0) ).

cnf(cls_sup__fun__eq__raw_0,axiom,
    ( hAPP(c_Lattices_Oupper__semilattice__class_Osup(v_f,v_g,tc_fun(t_a,t_b)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(v_f,v_x),hAPP(v_g,v_x),t_b)
    | ~ class_Lattices_Olattice(t_b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__fun__eq__raw_0) ).

cnf(cls_set__eq__subset_2,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__eq__subset_2) ).

cnf(cls_equalityI_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityI_0) ).

cnf(cls_evaln_OSkip_0,axiom,
    c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln_OSkip_0) ).

cnf(cls_insert__code_1,axiom,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).

cnf(cls_le__funD_0,axiom,
    ( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
    | ~ class_HOL_Oord(X1)
    | ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__funD_0) ).

cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X1),X2))
    | c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Ononempty__iff_2) ).

cnf(cls_order__trans_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_lessequals(X4,X3,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__trans_0) ).

cnf(cls_xt1_I6_J_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I6_J_0) ).

cnf(cls_subset__empty_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__empty_0) ).

cnf(cls_Diff__subset_0,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__subset_0) ).

cnf(cls_Un__upper1_0,axiom,
    c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper1_0) ).

cnf(cls_Un__upper2_0,axiom,
    c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper2_0) ).

cnf(cls_cut_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cut_0) ).

cnf(cls_insert__absorb_0,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).

cnf(cls_inf__sup__aci_I8_J_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).

cnf(cls_sup__left__idem_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__left__idem_0) ).

cnf(cls_insert__absorb2_0,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).

cnf(cls_bot1E_0,axiom,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).

cnf(cls_UNIV__I_0,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNIV__I_0) ).

cnf(cls_Un__empty_2,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty_2) ).

cnf(cls_WTs__elim__cases_I8_J_0,axiom,
    ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1))
    | ~ c_Com_OWT(c_Com_Ocom_OCall(X2,X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTs__elim__cases_I8_J_0) ).

cnf(cls_subset__Un__eq_1,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).

cnf(cls_Un__absorb2_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).

cnf(cls_Un__absorb1_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).

cnf(cls_rev__predicate1D_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(X3,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).

cnf(cls_predicate1D_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_predicate1D_0) ).

cnf(cls_mem__def_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).

cnf(cls_asm_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_lessequals(X2,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_asm_0) ).

cnf(cls_Un__empty_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty_0) ).

cnf(cls_Un__empty_1,axiom,
    ( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty_1) ).

cnf(cls_subset__insertI_0,axiom,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI_0) ).

cnf(cls_order__antisym__conv_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym__conv_0) ).

cnf(cls_order__antisym_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym_0) ).

cnf(cls_order__eq__iff_2,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_2) ).

cnf(cls_subset__empty_1,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__empty_1) ).

cnf(cls_eq__eqI_1,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__eqI_1) ).

cnf(cls_eq__eqI_0,axiom,
    ( X3 = X4
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X2,X1) != c_HOL_Ominus__class_Ominus(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__eqI_0) ).

cnf(cls_WTs__elim__cases_I3_J_0,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OLocal(X2,X3,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTs__elim__cases_I3_J_0) ).

cnf(cls_WTs__elim__cases_I5_J_0,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OCond(X2,X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTs__elim__cases_I5_J_0) ).

cnf(cls_WTs__elim__cases_I5_J_1,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OCond(X2,X3,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTs__elim__cases_I5_J_1) ).

cnf(cls_com_Osimps_I2_J_0,axiom,
    ( X1 = X4
    | c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OLocal(X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I2_J_0) ).

cnf(cls_com_Osimps_I4_J_0,axiom,
    ( X1 = X4
    | c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I4_J_0) ).

cnf(cls_com_Osimps_I7_J_0,axiom,
    ( X1 = X4
    | c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OCall(X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I7_J_0) ).

cnf(cls_com_Osimps_I2_J_1,axiom,
    ( X2 = X5
    | c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OLocal(X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I2_J_1) ).

cnf(cls_com_Osimps_I4_J_1,axiom,
    ( X2 = X5
    | c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I4_J_1) ).

cnf(cls_com_Osimps_I7_J_1,axiom,
    ( X2 = X5
    | c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OCall(X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I7_J_1) ).

cnf(cls_com_Osimps_I2_J_2,axiom,
    ( X3 = X6
    | c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OLocal(X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I2_J_2) ).

cnf(cls_com_Osimps_I4_J_2,axiom,
    ( X3 = X6
    | c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I4_J_2) ).

cnf(cls_com_Osimps_I7_J_2,axiom,
    ( X3 = X6
    | c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OCall(X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I7_J_2) ).

cnf(cls_com_Osimps_I36_J_0,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I36_J_0) ).

cnf(cls_com_Osimps_I42_J_0,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OCall(X4,X5,X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I42_J_0) ).

cnf(cls_com_Osimps_I37_J_0,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OLocal(X4,X5,X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I37_J_0) ).

cnf(cls_com_Osimps_I43_J_0,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OLocal(X4,X5,X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I43_J_0) ).

cnf(cls_com_Osimps_I56_J_0,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCall(X4,X5,X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I56_J_0) ).

cnf(cls_com_Osimps_I57_J_0,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I57_J_0) ).

cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).

cnf(cls_inf__sup__ord_I3_J_0,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).

cnf(cls_sup__ge1_0,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__ge1_0) ).

cnf(cls_inf__sup__ord_I4_J_0,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).

cnf(cls_sup__ge2_0,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__ge2_0) ).

cnf(cls_evalc_OSkip_0,axiom,
    hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),X1),X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc_OSkip_0) ).

cnf(cls_Un__UNIV__left_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__UNIV__left_0) ).

cnf(cls_empty__Diff_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__Diff_0) ).

cnf(cls_Un__UNIV__right_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__UNIV__right_0) ).

cnf(cls_Diff__UNIV_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__UNIV_0) ).

cnf(cls_Un__commute_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__commute_0) ).

cnf(cls_mem__def_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(X3,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).

cnf(cls_WT_OCall_0,axiom,
    ( c_Com_OWT(c_Com_Ocom_OCall(X1,X2,X3))
    | ~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT_OCall_0) ).

cnf(cls_triple__valid__Suc_0,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_triple__valid__Suc_0) ).

cnf(cls_le__iff__sup_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__sup_1) ).

cnf(cls_sup__absorb1_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X2
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__absorb1_0) ).

cnf(cls_le__iff__sup_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X3
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__sup_0) ).

cnf(cls_bot__empty__eq_0,axiom,
    hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__empty__eq_0) ).

cnf(cls_hoare__sound_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__valids(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hoare__sound_0) ).

cnf(cls_top1I_0,axiom,
    hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_top1I_0) ).

cnf(cls_empty_0,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty_0) ).

cnf(cls_Un__empty__left_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).

cnf(cls_Un__empty__right_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).

cnf(cls_Diff__empty_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__empty_0) ).

cnf(cls_empty__subsetI_0,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).

cnf(cls_subset__UNIV_0,axiom,
    c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__UNIV_0) ).

cnf(cls_empty__not__insert_0,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).

cnf(cls_insert__not__empty_0,axiom,
    c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).

cnf(cls_WT_OIf_0,axiom,
    ( c_Com_OWT(c_Com_Ocom_OCond(X1,X2,X3))
    | ~ c_Com_OWT(X3)
    | ~ c_Com_OWT(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT_OIf_0) ).

cnf(cls_le__zero__iff__zero__pprt_0,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__zero__iff__zero__pprt_0) ).

cnf(cls_WT_OLocal_0,axiom,
    ( c_Com_OWT(c_Com_Ocom_OLocal(X1,X2,X3))
    | ~ c_Com_OWT(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT_OLocal_0) ).

cnf(cls_le__zero__iff__pprt__id_0,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) = X2
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__zero__iff__pprt__id_0) ).

cnf(cls_linorder__linear_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__linear_0) ).

cnf(cls_inf__sup__aci_I5_J_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).

cnf(cls_sup__commute_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__commute_0) ).

cnf(cls_class__ringb_Osubr0__iff_0,axiom,
    ( X2 = X3
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Osubr0__iff_0) ).

cnf(cls_com_Osimps_I38_J_0,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OWhile(X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I38_J_0) ).

cnf(cls_com_Osimps_I23_J_0,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OAss(X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I23_J_0) ).

cnf(cls_com_Osimps_I34_J_0,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OSemi(X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I34_J_0) ).

cnf(cls_com_Osimps_I52_J_0,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OWhile(X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I52_J_0) ).

cnf(cls_com_Osimps_I27_J_0,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OAss(X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I27_J_0) ).

cnf(cls_com_Osimps_I45_J_0,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OSemi(X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I45_J_0) ).

cnf(cls_com_Osimps_I61_J_0,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OWhile(X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I61_J_0) ).

cnf(cls_com_Osimps_I33_J_0,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OAss(X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I33_J_0) ).

cnf(cls_com_Osimps_I51_J_0,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OSemi(X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I51_J_0) ).

cnf(cls_com_Osimps_I39_J_0,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OLocal(X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I39_J_0) ).

cnf(cls_com_Osimps_I53_J_0,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OCond(X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I53_J_0) ).

cnf(cls_com_Osimps_I60_J_0,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OCall(X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I60_J_0) ).

cnf(cls_com_Osimps_I22_J_0,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OLocal(X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I22_J_0) ).

cnf(cls_com_Osimps_I26_J_0,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OCond(X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I26_J_0) ).

cnf(cls_com_Osimps_I32_J_0,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OCall(X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I32_J_0) ).

cnf(cls_com_Osimps_I35_J_0,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OLocal(X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I35_J_0) ).

cnf(cls_com_Osimps_I44_J_0,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OCond(X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I44_J_0) ).

cnf(cls_com_Osimps_I50_J_0,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OCall(X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I50_J_0) ).

cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
    hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).

cnf(cls_com_Osimps_I40_J_0,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != hAPP(c_Com_Ocom_OBODY,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I40_J_0) ).

cnf(cls_com_Osimps_I54_J_0,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != hAPP(c_Com_Ocom_OBODY,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I54_J_0) ).

cnf(cls_com_Osimps_I63_J_0,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != hAPP(c_Com_Ocom_OBODY,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I63_J_0) ).

cnf(cls_com_Osimps_I41_J_0,axiom,
    hAPP(c_Com_Ocom_OBODY,X1) != c_Com_Ocom_OLocal(X2,X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I41_J_0) ).

cnf(cls_com_Osimps_I55_J_0,axiom,
    hAPP(c_Com_Ocom_OBODY,X1) != c_Com_Ocom_OCond(X2,X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I55_J_0) ).

cnf(cls_com_Osimps_I62_J_0,axiom,
    hAPP(c_Com_Ocom_OBODY,X1) != c_Com_Ocom_OCall(X2,X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I62_J_0) ).

cnf(cls_sup__eq__bot__eq1_0,axiom,
    ( X2 = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__eq__bot__eq1_0) ).

cnf(cls_sup__eq__bot__eq2_0,axiom,
    ( X3 = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__eq__bot__eq2_0) ).

cnf(cls_Diff__cancel_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__cancel_0) ).

cnf(cls_right__minus__eq_0,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Ogroup__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_right__minus__eq_0) ).

cnf(cls_eq__iff__diff__eq__0_1,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__iff__diff__eq__0_1) ).

cnf(cls_le__zero__iff__zero__pprt_1,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__zero__iff__zero__pprt_1) ).

cnf(cls_zero__le__pprt_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__pprt_0) ).

cnf(cls_le__zero__iff__pprt__id_1,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) != X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__zero__iff__pprt__id_1) ).

cnf(cls_com_Osimps_I11_J_0,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OSKIP,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I11_J_0) ).

cnf(cls_com_Osimps_I15_J_0,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OSKIP,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I15_J_0) ).

cnf(cls_com_Osimps_I21_J_0,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OSKIP,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I21_J_0) ).

cnf(cls_com_Osimps_I10_J_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(X1,X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I10_J_0) ).

cnf(cls_com_Osimps_I14_J_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(X1,X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I14_J_0) ).

cnf(cls_com_Osimps_I20_J_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(X1,X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I20_J_0) ).

cnf(cls_UNIV__not__empty_0,axiom,
    c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNIV__not__empty_0) ).

cnf(cls_Un__absorb_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb_0) ).

cnf(cls_subset__refl_0,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__refl_0) ).

cnf(cls_equalityE_0,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityE_0) ).

cnf(cls_top__fun__eq_0,axiom,
    ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Orderings_Otop(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_top__fun__eq_0) ).

cnf(cls_bot__fun__eq_0,axiom,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Orderings_Obot(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__fun__eq_0) ).

cnf(cls_class__ringb_Osubr0__iff_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Osubr0__iff_1) ).

cnf(cls_sup__top__left_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__top__left_0) ).

cnf(cls_sup__top__right_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__top__right_0) ).

cnf(cls_pprt__def__raw_0,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) = c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a)
    | ~ class_OrderedGroup_Olordered__ab__group__add(t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pprt__def__raw_0) ).

cnf(cls_sup__bot__left_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__bot__left_0) ).

cnf(cls_sup__bot__right_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Obot__class_Obot(X1),X1) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__bot__right_0) ).

cnf(cls_diff__0__right_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__0__right_0) ).

cnf(cls_bot__least_0,axiom,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__least_0) ).

cnf(cls_top__greatest_0,axiom,
    ( c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1)
    | ~ class_Orderings_Otop(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_top__greatest_0) ).

cnf(cls_diff__self_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__self_0) ).

cnf(cls_right__minus__eq_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_right__minus__eq_1) ).

cnf(cls_eq__iff__diff__eq__0_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__iff__diff__eq__0_0) ).

cnf(cls_sup__idem_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__idem_0) ).

cnf(cls_order__eq__refl_0,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Opreorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).

cnf(cls_order__eq__iff_0,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Oorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).

cnf(cls_WTs__elim__cases_I6_J_0,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OWhile(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTs__elim__cases_I6_J_0) ).

cnf(cls_WTs__elim__cases_I4_J_0,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTs__elim__cases_I4_J_0) ).

cnf(cls_WTs__elim__cases_I4_J_1,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OSemi(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTs__elim__cases_I4_J_1) ).

cnf(cls_the_Osimps_0,axiom,
    hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(X2,X1)) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_the_Osimps_0) ).

cnf(cls_option_Oinject_0,axiom,
    ( X1 = X3
    | c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_OSome(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_option_Oinject_0) ).

cnf(cls_com_Osimps_I5_J_0,axiom,
    ( X1 = X3
    | c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OWhile(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I5_J_0) ).

cnf(cls_com_Osimps_I1_J_0,axiom,
    ( X1 = X3
    | c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OAss(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I1_J_0) ).

cnf(cls_com_Osimps_I3_J_0,axiom,
    ( X1 = X3
    | c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSemi(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I3_J_0) ).

cnf(cls_com_Osimps_I5_J_1,axiom,
    ( X2 = X4
    | c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OWhile(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I5_J_1) ).

cnf(cls_com_Osimps_I1_J_1,axiom,
    ( X2 = X4
    | c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OAss(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I1_J_1) ).

cnf(cls_com_Osimps_I3_J_1,axiom,
    ( X2 = X4
    | c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSemi(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I3_J_1) ).

cnf(cls_WT_OSemi_0,axiom,
    ( c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))
    | ~ c_Com_OWT(X2)
    | ~ c_Com_OWT(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT_OSemi_0) ).

cnf(cls_com_Osimps_I29_J_0,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OAss(X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I29_J_0) ).

cnf(cls_com_Osimps_I47_J_0,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OSemi(X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I47_J_0) ).

cnf(cls_com_Osimps_I28_J_0,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OWhile(X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I28_J_0) ).

cnf(cls_com_Osimps_I46_J_0,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OWhile(X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I46_J_0) ).

cnf(cls_com_Osimps_I24_J_0,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OSemi(X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I24_J_0) ).

cnf(cls_com_Osimps_I25_J_0,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OAss(X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I25_J_0) ).

cnf(cls_WT_OBody_0,axiom,
    ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1))
    | hAPP(c_Com_Obody,X1) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT_OBody_0) ).

cnf(cls_com_Osimps_I59_J_0,axiom,
    hAPP(c_Com_Ocom_OBODY,X1) != c_Com_Ocom_OWhile(X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I59_J_0) ).

cnf(cls_com_Osimps_I31_J_0,axiom,
    hAPP(c_Com_Ocom_OBODY,X1) != c_Com_Ocom_OAss(X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I31_J_0) ).

cnf(cls_com_Osimps_I49_J_0,axiom,
    hAPP(c_Com_Ocom_OBODY,X1) != c_Com_Ocom_OSemi(X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I49_J_0) ).

cnf(cls_com_Osimps_I58_J_0,axiom,
    c_Com_Ocom_OWhile(X1,X2) != hAPP(c_Com_Ocom_OBODY,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I58_J_0) ).

cnf(cls_com_Osimps_I30_J_0,axiom,
    c_Com_Ocom_OAss(X1,X2) != hAPP(c_Com_Ocom_OBODY,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I30_J_0) ).

cnf(cls_com_Osimps_I48_J_0,axiom,
    c_Com_Ocom_OSemi(X1,X2) != hAPP(c_Com_Ocom_OBODY,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I48_J_0) ).

cnf(cls_com_Osimps_I6_J_0,axiom,
    ( X1 = X2
    | hAPP(c_Com_Ocom_OBODY,X1) != hAPP(c_Com_Ocom_OBODY,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I6_J_0) ).

cnf(clsarity_fun__Orderings_Opreorder,axiom,
    ( class_Orderings_Opreorder(tc_fun(X1,X2))
    | ~ class_Orderings_Opreorder(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).

cnf(clsarity_fun__Orderings_Oorder,axiom,
    ( class_Orderings_Oorder(tc_fun(X1,X2))
    | ~ class_Orderings_Oorder(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).

cnf(clsarity_fun__Lattices_Olattice,axiom,
    ( class_Lattices_Olattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).

cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
    ( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
    | ~ class_Lattices_Obounded__lattice(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).

cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
    ( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).

cnf(clsarity_fun__HOL_Oord,axiom,
    ( class_HOL_Oord(tc_fun(X1,X2))
    | ~ class_HOL_Oord(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).

cnf(clsarity_fun__HOL_Ominus,axiom,
    ( class_HOL_Ominus(tc_fun(X1,X2))
    | ~ class_HOL_Ominus(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Ominus) ).

cnf(clsarity_fun__Orderings_Otop,axiom,
    ( class_Orderings_Otop(tc_fun(X1,X2))
    | ~ class_Orderings_Otop(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Otop) ).

cnf(clsarity_fun__Orderings_Obot,axiom,
    ( class_Orderings_Obot(tc_fun(X1,X2))
    | ~ class_Orderings_Obot(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).

cnf(cls_While_0,axiom,
    ( c_Com_OWT(c_Com_Ocom_OWhile(X1,X2))
    | ~ c_Com_OWT(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_While_0) ).

cnf(cls_pprt__0_0,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pprt__0_0) ).

cnf(cls_WT_OAssign_0,axiom,
    c_Com_OWT(c_Com_Ocom_OAss(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT_OAssign_0) ).

cnf(cls_not__None__eq_1,axiom,
    c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_ONone(X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__None__eq_1) ).

cnf(cls_option_Osimps_I3_J_0,axiom,
    c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_ONone(X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_option_Osimps_I3_J_0) ).

cnf(cls_option_Osimps_I2_J_0,axiom,
    c_Option_Ooption_ONone(X1) != c_Option_Ooption_OSome(X2,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_option_Osimps_I2_J_0) ).

cnf(cls_not__Some__eq_1,axiom,
    c_Option_Ooption_ONone(X1) != c_Option_Ooption_OSome(X2,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Some__eq_1) ).

cnf(cls_com_Osimps_I17_J_0,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OSKIP,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I17_J_0) ).

cnf(cls_com_Osimps_I9_J_0,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OSKIP,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I9_J_0) ).

cnf(cls_com_Osimps_I13_J_0,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSKIP,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I13_J_0) ).

cnf(cls_com_Osimps_I16_J_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I16_J_0) ).

cnf(cls_com_Osimps_I8_J_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I8_J_0) ).

cnf(cls_com_Osimps_I12_J_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I12_J_0) ).

cnf(cls_id__apply_0,axiom,
    hAPP(c_Fun_Oid(X1),X2) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_id__apply_0) ).

cnf(cls_com_Osimps_I19_J_0,axiom,
    hAPP(c_Com_Ocom_OBODY,X1) != c_Com_Ocom_OSKIP,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I19_J_0) ).

cnf(cls_com_Osimps_I18_J_0,axiom,
    c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I18_J_0) ).

cnf(cls_id__def_0,axiom,
    hAPP(c_Fun_Oid(t_a),v_x) = v_x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_id__def_0) ).

cnf(cls_nat_Oinject_0,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat_Oinject_0) ).

cnf(cls_Suc__inject_0,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__inject_0) ).

cnf(cls_Zero__neq__Suc_0,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zero__neq__Suc_0) ).

cnf(cls_nat_Osimps_I2_J_0,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat_Osimps_I2_J_0) ).

cnf(cls_Suc__neq__Zero_0,axiom,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__neq__Zero_0) ).

cnf(cls_nat_Osimps_I3_J_0,axiom,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat_Osimps_I3_J_0) ).

cnf(cls_Suc__n__not__n_0,axiom,
    c_Suc(X1) != X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__n__not__n_0) ).

cnf(cls_n__not__Suc__n_0,axiom,
    X1 != c_Suc(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_n__not__Suc__n_0) ).

cnf(clsarity_nat__Orderings_Olinorder,axiom,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).

cnf(clsarity_nat__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).

cnf(clsarity_bool__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).

cnf(clsarity_nat__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).

cnf(clsarity_bool__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).

cnf(clsarity_nat__Lattices_Olattice,axiom,
    class_Lattices_Olattice(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).

cnf(clsarity_bool__Lattices_Olattice,axiom,
    class_Lattices_Olattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).

cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).

cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
    class_Lattices_Oupper__semilattice(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).

cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).

cnf(clsarity_nat__HOL_Oord,axiom,
    class_HOL_Oord(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).

cnf(clsarity_bool__HOL_Oord,axiom,
    class_HOL_Oord(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).

cnf(clsarity_nat__HOL_Ominus,axiom,
    class_HOL_Ominus(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__HOL_Ominus) ).

cnf(clsarity_bool__HOL_Ominus,axiom,
    class_HOL_Ominus(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Ominus) ).

cnf(clsarity_bool__Orderings_Otop,axiom,
    class_Orderings_Otop(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Otop) ).

cnf(clsarity_nat__Orderings_Obot,axiom,
    class_Orderings_Obot(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Obot) ).

cnf(clsarity_bool__Orderings_Obot,axiom,
    class_Orderings_Obot(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).

cnf(cls_WT_OSkip_0,axiom,
    c_Com_OWT(c_Com_Ocom_OSKIP),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT_OSkip_0) ).

cnf(i_0_492,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X2)),X1,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    cls_MGT__BodyN_0 ).

cnf(i_0_493,axiom,
    c_Hoare__Mirabelle_OMGT(X1) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),X1),hAPP(c_Natural_Oevalc,X1)),
    cls_MGT__def_0 ).

cnf(i_0_494,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X1),X2),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X1),X2),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    cls_MGF__complete_0 ).

cnf(i_0_495,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OCond(X9,X10,X11),X12) = hAPP(hAPP(hAPP(hAPP(hAPP(X5,X9),X10),X11),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X10,X12)),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X11,X12)),
    cls_com_Orecs_I5_J_0,
    [final] ).

cnf(i_0_496,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSemi(X9,X10),X11) = hAPP(hAPP(hAPP(hAPP(X4,X9),X10),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X11)),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X10,X11)),
    cls_com_Orecs_I4_J_0,
    [final] ).

cnf(i_0_497,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OLocal(X9,X10,X11),X12) = hAPP(hAPP(hAPP(hAPP(X3,X9),X10),X11),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X11,X12)),
    cls_com_Orecs_I3_J_0,
    [final] ).

cnf(i_0_498,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OWhile(X9,X10),X11) = hAPP(hAPP(hAPP(X6,X9),X10),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X10,X11)),
    cls_com_Orecs_I6_J_0,
    [final] ).

cnf(i_0_499,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OCall(X9,X10,X11),X12) = hAPP(hAPP(hAPP(X8,X9),X10),X11),
    cls_com_Orecs_I8_J_0,
    [final] ).

cnf(i_0_500,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OLocal(X9,X10,X11),X12) = hAPP(hAPP(hAPP(X3,X9),X10),X11),
    cls_com_Osimps_I66_J_0,
    [final] ).

cnf(i_0_501,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OCond(X9,X10,X11),X12) = hAPP(hAPP(hAPP(X5,X9),X10),X11),
    cls_com_Osimps_I68_J_0,
    [final] ).

cnf(i_0_502,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OCall(X9,X10,X11),X12) = hAPP(hAPP(hAPP(X8,X9),X10),X11),
    cls_com_Osimps_I71_J_0,
    [final] ).

cnf(i_0_503,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OAss(X9,X10),X11) = hAPP(hAPP(X2,X9),X10),
    cls_com_Orecs_I2_J_0,
    [final] ).

cnf(i_0_504,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OWhile(X9,X10),X11) = hAPP(hAPP(X6,X9),X10),
    cls_com_Osimps_I69_J_0,
    [final] ).

cnf(i_0_505,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OAss(X9,X10),X11) = hAPP(hAPP(X2,X9),X10),
    cls_com_Osimps_I65_J_0,
    [final] ).

cnf(i_0_506,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSemi(X9,X10),X11) = hAPP(hAPP(X4,X9),X10),
    cls_com_Osimps_I67_J_0,
    [final] ).

cnf(i_0_507,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,hAPP(c_Com_Ocom_OBODY,X9),X10) = hAPP(X7,X9),
    cls_com_Orecs_I7_J_0,
    [final] ).

cnf(i_0_508,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,hAPP(c_Com_Ocom_OBODY,X9),X10) = hAPP(X7,X9),
    cls_com_Osimps_I70_J_0,
    [final] ).

cnf(i_0_509,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    cls_com_Orecs_I1_J_0,
    [final] ).

cnf(i_0_510,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    cls_com_Osimps_I64_J_0,
    [final] ).

cnf(i_0_511,axiom,
    ( c_Hoare__Mirabelle_Ohoare__valids(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    cls_Body__sound__lemma_0,
    [final] ).

cnf(i_0_512,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    cls_hoare__derivs_OBody_0,
    [final] ).

cnf(i_0_513,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),hAPP(X3,X4)),hAPP(c_Com_Ocom_OBODY,X4)),hAPP(X5,X4)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),X4),X6))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X5,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X6,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X5,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X6,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    cls_Body1_0,
    [final] ).

cnf(i_0_514,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(v_G,c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),c_Com_Ocom_OBODY,tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),c_COMBB(c_Natural_Oevalc,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Com_Opname),tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),c_COMBB(c_Natural_Oevalc,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Com_Opname),tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
    cls_conjecture_0,
    [final] ).

cnf(i_0_515,axiom,
    hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),X1,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),X2,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,tc_bool))),
    cls_sup__Un__eq_0,
    [final] ).

cnf(i_0_516,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_COMBC(c_in(X3),X1,X3,tc_fun(X3,tc_bool),tc_bool),c_COMBC(c_in(X3),X2,X3,tc_fun(X3,tc_bool),tc_bool),tc_fun(X3,tc_bool)) ),
    cls_pred__subset__eq_0,
    [final] ).

cnf(i_0_517,axiom,
    c_Fun_Ofcomp(c_Fun_Ofcomp(X1,X2,X3,X4,X5),X6,X3,X5,X7) = c_Fun_Ofcomp(X1,c_Fun_Ofcomp(X2,X6,X4,X5,X7),X3,X4,X7),
    cls_fcomp__assoc_0,
    [final] ).

cnf(i_0_518,axiom,
    c_Fun_Ocomp(X1,c_Fun_Ocomp(X2,X3,X4,X5,X6),X5,X7,X6) = c_Fun_Ocomp(c_Fun_Ocomp(X1,X2,X5,X7,X4),X3,X4,X7,X6),
    cls_o__assoc_0,
    [final] ).

cnf(i_0_519,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),hAPP(c_Com_Ocom_OBODY,X2)),hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),hAPP(c_Com_Ocom_OBODY,X2)),hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X2))),X1,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X2))),hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_492,c_0_493]),c_0_493]),c_0_493]),
    [final] ).

cnf(i_0_520,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1)))
    | ~ c_Fun_Oinj__on(X2,c_Set_Oinsert(X3,X4,X5),X5,X1) ),
    cls_inj__on__insert_1,
    [final] ).

cnf(i_0_521,axiom,
    ( c_lessequals(c_COMBC(c_in(X1),X2,X1,tc_fun(X1,tc_bool),tc_bool),c_COMBC(c_in(X1),X3,X1,tc_fun(X1,tc_bool),tc_bool),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
    cls_pred__subset__eq_1,
    [final] ).

cnf(i_0_522,axiom,
    ( hAPP(c_Fun_Ocomp(X1,X2,X7,X8,X9),X3) = hAPP(c_Fun_Ocomp(X4,X5,X10,X8,X11),X6)
    | hAPP(X1,hAPP(X2,X3)) != hAPP(X4,hAPP(X5,X6)) ),
    cls_comp__cong_0,
    [final] ).

cnf(i_0_523,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)
    | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X5,X6,X4),X3,X4,X6) ),
    cls_inj__on__imageI_0,
    [final] ).

cnf(i_0_524,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),X1,tc_Hoare__Mirabelle_Otriple(X2)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    cls_BodyN_0,
    [final] ).

cnf(i_0_525,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
    | hBOOL(hAPP(hAPP(c_in(X5),hAPP(X1,X2)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5)))
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
    cls_inj__on__insert_2,
    [final] ).

cnf(i_0_526,axiom,
    ( c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4)
    | ~ c_Fun_Oinj__on(X2,X6,X5,X3) ),
    cls_comp__inj__on_0,
    [final] ).

cnf(i_0_527,axiom,
    ( X2 = X3
    | c_COMBC(c_in(X1),X2,X1,tc_fun(X1,tc_bool),tc_bool) != c_COMBC(c_in(X1),X3,X1,tc_fun(X1,tc_bool),tc_bool) ),
    cls_pred__equals__eq_0,
    [final] ).

cnf(i_0_528,axiom,
    ( hAPP(X1,hAPP(X2,X9)) = hAPP(X6,hAPP(X7,X9))
    | c_Fun_Ocomp(X1,X2,X3,X4,X5) != c_Fun_Ocomp(X6,X7,X8,X4,X5) ),
    cls_o__eq__dest_0,
    [final] ).

cnf(i_0_529,axiom,
    ( hAPP(X1,hAPP(X2,X7)) = hAPP(X6,X7)
    | c_Fun_Ocomp(X1,X2,X3,X4,X5) != c_Fun_Ocomp(c_Fun_Oid(X4),X6,X4,X4,X5) ),
    cls_o__eq__id__dest_0,
    [final] ).

cnf(i_0_530,axiom,
    c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X4) = c_Set_Oimage(X1,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X3),X3,X4),
    cls_range__composition_0,
    [final] ).

cnf(i_0_531,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),c_Com_Ocom_OSemi(X4,X5)),X6),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X7),X5),X6),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),X4),X7),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    cls_Comp_0,
    [final] ).

cnf(i_0_532,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X1),X2),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X1),X2),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),X2),hAPP(c_Natural_Oevalc,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    inference(rw,[status(thm)],[i_0_494,c_0_493]),
    [final] ).

cnf(i_0_533,axiom,
    c_Set_Ovimage(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4) = c_Set_Ovimage(X2,c_Set_Ovimage(X1,X6,X3,X4),X5,X3),
    cls_vimage__compose_0,
    [final] ).

cnf(i_0_534,axiom,
    c_Set_Oimage(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4) = c_Set_Oimage(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4),
    cls_image__compose_0,
    [final] ).

cnf(i_0_535,axiom,
    c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6) = c_Set_Oimage(c_COMBB(X1,X2,X5,X6,X4),X3,X4,X6),
    cls_image__image_0,
    [final] ).

cnf(i_0_536,axiom,
    ( hBOOL(hAPP(X1,hAPP(hAPP(hAPP(X2,X3),X4),X5)))
    | ~ hBOOL(hAPP(X1,c_Hoare__Mirabelle_Otriple_Otriple__case(X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),X3),X4),X5),t_b,t_a))) ),
    cls_triple_Osplit_0,
    [final] ).

cnf(i_0_537,axiom,
    ( hBOOL(hAPP(X1,hAPP(hAPP(hAPP(X2,X3),X4),X5)))
    | ~ hBOOL(hAPP(X1,c_Hoare__Mirabelle_Otriple_Otriple__case(X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),X3),X4),X5),t_b,t_a))) ),
    cls_triple_Osplit__asm_0,
    [final] ).

cnf(i_0_538,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    cls_weak__Body_0,
    [final] ).

cnf(i_0_539,axiom,
    ( hAPP(X1,X2) = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X4,X5))) ),
    cls_vimage__singleton__eq_0,
    [final] ).

cnf(i_0_540,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)),
    cls_image__diff__subset_0,
    [final] ).

cnf(i_0_541,axiom,
    hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),hAPP(X2,X6)),
    cls_ATP__Linkup_OCOMBS__def_0,
    [final] ).

cnf(i_0_542,axiom,
    hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),hAPP(X2,X6)),
    cls_COMBS__def_0,
    [final] ).

cnf(i_0_543,axiom,
    hAPP(c_COMBC(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),X2),
    cls_ATP__Linkup_OCOMBC__def_0,
    [final] ).

cnf(i_0_544,axiom,
    hAPP(c_COMBC(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),X2),
    cls_COMBC__def_0,
    [final] ).

cnf(i_0_545,axiom,
    hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
    cls_ATP__Linkup_OCOMBB__def_0,
    [final] ).

cnf(i_0_546,axiom,
    hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
    cls_COMBB__def_0,
    [final] ).

cnf(i_0_547,axiom,
    hAPP(c_Fun_Ofcomp(X1,X2,X3,X4,X5),X6) = hAPP(X2,hAPP(X1,X6)),
    cls_fcomp__apply_0,
    [final] ).

cnf(i_0_548,axiom,
    hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
    cls_o__apply_0,
    [final] ).

cnf(i_0_549,axiom,
    hAPP(X1,hAPP(X2,X3)) = hAPP(c_Fun_Ocomp(X1,X2,X4,X5,X6),X3),
    cls_o__eq__dest__lhs_0,
    [final] ).

cnf(i_0_550,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ c_Fun_Oinj__on(X5,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X4) ),
    cls_inj__image__mem__iff_0,
    [final] ).

cnf(i_0_551,axiom,
    hAPP(c_Fun_Ofcomp(X1,X2,t_a,X3,X4),v_x) = hAPP(X2,hAPP(X1,v_x)),
    cls_fcomp__def_0,
    [final] ).

cnf(i_0_552,axiom,
    hAPP(c_Fun_Ocomp(X1,X2,X3,X4,t_a),v_x) = hAPP(X1,hAPP(X2,v_x)),
    cls_o__def_0,
    [final] ).

cnf(i_0_553,axiom,
    hAPP(c_Fun_Ofcomp(v_f,v_g,t_a,t_b,t_c),v_x) = hAPP(v_g,hAPP(v_f,v_x)),
    cls_fcomp__def__raw_0,
    [final] ).

cnf(i_0_554,axiom,
    hAPP(c_Fun_Ocomp(v_f,v_g,t_a,t_b,t_c),v_x) = hAPP(v_f,hAPP(v_g,v_x)),
    cls_comp__def__raw_0,
    [final] ).

cnf(i_0_555,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
    | ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
    cls_inj__image__subset__iff_0,
    [final] ).

cnf(i_0_556,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_Oinsert(hAPP(X3,X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X1,X4))),
    cls_vimage__singleton__eq_1,
    [final] ).

cnf(i_0_557,axiom,
    ( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X3,X6,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X6,tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
    cls_inj__on__image__set__diff_0,
    [final] ).

cnf(i_0_558,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X4),X2),X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X5,X4,X1)),X2),X3)) ),
    cls_evalc__elim__cases_I5_J_2,
    [final] ).

cnf(i_0_559,axiom,
    ( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),X5,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    cls_vimage__subsetI_0,
    [final] ).

cnf(i_0_560,axiom,
    ( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
    cls_image__set__diff_0,
    [final] ).

cnf(i_0_561,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
    cls_vimageD_0,
    [final] ).

cnf(i_0_562,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
    cls_vimageE_0,
    [final] ).

cnf(i_0_563,axiom,
    c_Set_Ovimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
    cls_vimage__insert_0,
    [final] ).

cnf(i_0_564,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X2),X4))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X3,X5)),X2),X4)) ),
    cls_evalc__elim__cases_I5_J_1,
    [final] ).

cnf(i_0_565,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4))
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X1) ),
    cls_inj__image__mem__iff_1,
    [final] ).

cnf(i_0_566,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))
    | hBOOL(hAPP(X4,X2))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X4,X5,X1)),X2),X3)) ),
    cls_evalc__elim__cases_I5_J_0,
    [final] ).

cnf(i_0_567,axiom,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
    cls_vimage__code_0,
    [final] ).

cnf(i_0_568,axiom,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    cls_inj__image__subset__iff_1,
    [final] ).

cnf(i_0_569,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X1)),X2),X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3)) ),
    cls_evalc_OBody_0,
    [final] ).

cnf(i_0_570,axiom,
    c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)),
    cls_image__vimage__subset_0,
    [final] ).

cnf(i_0_571,axiom,
    c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
    cls_vimage__Un_0,
    [final] ).

cnf(i_0_572,axiom,
    c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
    cls_vimage__Diff_0,
    [final] ).

cnf(i_0_573,axiom,
    c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),
    cls_image__Un_0,
    [final] ).

cnf(i_0_574,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
    cls_vimageI_0,
    [final] ).

cnf(i_0_575,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
    cls_vimageI2_0,
    [final] ).

cnf(i_0_576,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
    cls_vimage__eq_1,
    [final] ).

cnf(i_0_577,axiom,
    ( X2 = X5
    | c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
    cls_inj__on__Un__image__eq__iff_0,
    [final] ).

cnf(i_0_578,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X1))),
    cls_rangeI_0,
    [final] ).

cnf(i_0_579,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
    cls_diff__single__insert_0,
    [final] ).

cnf(i_0_580,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
    cls_subset__insert__iff_3,
    [final] ).

cnf(i_0_581,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    cls_imageI_0,
    [final] ).

cnf(i_0_582,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    cls_image__eqI_0,
    [final] ).

cnf(i_0_583,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    cls_image__iff_2,
    [final] ).

cnf(i_0_584,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    cls_rev__image__eqI_0,
    [final] ).

cnf(i_0_585,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X1)),X2),X3)) ),
    cls_evalc__elim__cases_I6_J_0,
    [final] ).

cnf(i_0_586,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X2),X4),X5))
    | ~ hBOOL(hAPP(X1,X4)) ),
    cls_evalc_OIfTrue_0,
    [final] ).

cnf(i_0_587,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5))
    | hBOOL(hAPP(X1,X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X4),X5)) ),
    cls_evalc_OIfFalse_0,
    [final] ).

cnf(i_0_588,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
    cls_subset__insert__iff_4,
    [final] ).

cnf(i_0_589,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),X2)
    | ~ c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),X2) ),
    cls_Body__triple__valid__Suc_0,
    [final] ).

cnf(i_0_590,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X2)),X3),X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X2)),X5),X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X2),X3),X5))
    | ~ hBOOL(hAPP(X1,X3)) ),
    cls_evalc_OWhileTrue_0,
    [final] ).

cnf(i_0_591,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X6))
    | ~ c_lessequals(c_Set_Oimage(X2,X6,X5,X1),X4,tc_fun(X1,tc_bool)) ),
    cls_image__subset__iff_0,
    [final] ).

cnf(i_0_592,axiom,
    ( X2 = X5
    | c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    cls_inj__image__eq__iff_0,
    [final] ).

cnf(i_0_593,axiom,
    ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X3,X2,X4),X4)
    | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,X3,X4) ),
    cls_evaln__elim__cases_I6_J_1,
    [final] ).

cnf(i_0_594,axiom,
    ( c_Set_Ovimage(X1,c_Set_Oimage(X1,X2,X3,X4),X3,X4) = X2
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    cls_inj__vimage__image__eq_0,
    [final] ).

cnf(i_0_595,axiom,
    c_Fun_Ofcomp(c_Fun_Oid(X1),X2,X1,X1,X3) = X2,
    cls_id__fcomp_0,
    [final] ).

cnf(i_0_596,axiom,
    c_Fun_Ocomp(c_Fun_Oid(X1),X2,X1,X1,X3) = X2,
    cls_id__o_0,
    [final] ).

cnf(i_0_597,axiom,
    c_Fun_Ofcomp(X1,c_Fun_Oid(X2),X3,X2,X2) = X1,
    cls_fcomp__id_0,
    [final] ).

cnf(i_0_598,axiom,
    c_Fun_Ocomp(X1,c_Fun_Oid(X2),X2,X3,X2) = X1,
    cls_o__id_0,
    [final] ).

cnf(i_0_599,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),X2)
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),X2) ),
    cls_Body__triple__valid__Suc_1,
    [final] ).

cnf(i_0_600,axiom,
    ( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X4,tc_bool)) ),
    cls_vimage__mono_0,
    [final] ).

cnf(i_0_601,axiom,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
    cls_image__mono_0,
    [final] ).

cnf(i_0_602,axiom,
    ( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    cls_subset__image__iff_2,
    [final] ).

cnf(i_0_603,axiom,
    ( hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))
    | ~ hBOOL(hAPP(X2,hAPP(X1,X5))) ),
    cls_vimage__code_1,
    [final] ).

cnf(i_0_604,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X5)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X6,X4,X5)
    | ~ c_Natural_Oevaln(X2,X3,X4,X6)
    | ~ hBOOL(hAPP(X1,X3)) ),
    cls_evaln_OWhileTrue_0,
    [final] ).

cnf(i_0_605,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
    cls_subset__insert__iff_0,
    [final] ).

cnf(i_0_606,axiom,
    ( c_Natural_Oevaln(X1,X2,X3,X4)
    | c_Natural_Oevaln(X5,X2,X3,X4)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X6,X5,X1),X2,X3,X4) ),
    cls_evaln__elim__cases_I5_J_2,
    [final] ).

cnf(i_0_607,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)
    | ~ c_Natural_Oevaln(X2,X6,X4,X5)
    | ~ c_Natural_Oevaln(X1,X3,X4,X6) ),
    cls_evaln_OSemi_0,
    [final] ).

cnf(i_0_608,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ c_Natural_Oevaln(X4,X5,X6,X3)
    | ~ hBOOL(hAPP(hAPP(X7,X2),X5))
    | ~ c_Hoare__Mirabelle_Otriple__valid(X6,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X7),X4),X1),t_a) ),
    cls_triple__valid__def2_0,
    [final] ).

cnf(i_0_609,axiom,
    ( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
    cls_insert__image_0,
    [final] ).

cnf(i_0_610,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSemi(X1,X2)),X3),X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X2),X5),X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X3),X5)) ),
    cls_evalc_OSemi_0,
    [final] ).

cnf(i_0_611,axiom,
    c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
    cls_image__insert_0,
    [final] ).

cnf(i_0_612,axiom,
    ( X1 = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X2,X1,X3,X4))
    | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X2),X3,X1,X4) ),
    cls_evaln__elim__cases_I6_J_0,
    [final] ).

cnf(i_0_613,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
    cls_inj__on__Un_0,
    [final] ).

cnf(i_0_614,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X5,X2,tc_fun(X3,tc_bool)),X3,X4) ),
    cls_inj__on__Un_1,
    [final] ).

cnf(i_0_615,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X4,X3,tc_fun(X1,tc_bool)))) ),
    cls_UnE_0,
    [final] ).

cnf(i_0_616,axiom,
    ( c_Natural_Oevaln(X3,X2,X4,X5)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X6),X2,X4,X5) ),
    cls_evaln__elim__cases_I5_J_1,
    [final] ).

cnf(i_0_617,axiom,
    ( X1 = X5
    | X1 = X4
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    cls_doubleton__eq__iff_0,
    [final] ).

cnf(i_0_618,axiom,
    ( X2 = X4
    | X1 = X4
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    cls_doubleton__eq__iff_1,
    [final] ).

cnf(i_0_619,axiom,
    ( X1 = X5
    | X2 = X5
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    cls_doubleton__eq__iff_2,
    [final] ).

cnf(i_0_620,axiom,
    ( X2 = X4
    | X2 = X5
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    cls_doubleton__eq__iff_3,
    [final] ).

cnf(i_0_621,axiom,
    ( c_Natural_Oevaln(X1,X2,X3,X4)
    | hBOOL(hAPP(X5,X2))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X5,X6,X1),X2,X3,X4) ),
    cls_evaln__elim__cases_I5_J_0,
    [final] ).

cnf(i_0_622,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
    cls_Diff__insert2_0,
    [final] ).

cnf(i_0_623,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))) ),
    cls_singletonE_0,
    [final] ).

cnf(i_0_624,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)))) ),
    cls_DiffE_1,
    [final] ).

cnf(i_0_625,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4) ),
    cls_inj__on__insert_0,
    [final] ).

cnf(i_0_626,axiom,
    ( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
    cls_insert__Diff_0,
    [final] ).

cnf(i_0_627,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)
    | ~ c_Natural_Oevaln(X2,X4,X5,X6)
    | ~ hBOOL(hAPP(X1,X4)) ),
    cls_evaln_OIfTrue_0,
    [final] ).

cnf(i_0_628,axiom,
    ( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X4,X5) ),
    cls_inj__on__diff_0,
    [final] ).

cnf(i_0_629,axiom,
    ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,c_Suc(X3),X4)
    | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,X3,X4) ),
    cls_evaln_OBody_0,
    [final] ).

cnf(i_0_630,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),c_Com_Ocom_OSKIP),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2),
    cls_hoare__derivs_OSkip_0,
    [final] ).

cnf(i_0_631,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)
    | hBOOL(hAPP(X1,X4))
    | ~ c_Natural_Oevaln(X3,X4,X5,X6) ),
    cls_evaln_OIfFalse_0,
    [final] ).

cnf(i_0_632,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X3,tc_Hoare__Mirabelle_Otriple(X4)),X4)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X4)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_bool)),tc_Hoare__Mirabelle_Otriple(X4)),X4) ),
    cls_hoare__derivs_Oinsert_0,
    [final] ).

cnf(i_0_633,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ c_Fun_Oinj__on(X1,X4,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4)) ),
    cls_inj__onD_0,
    [final] ).

cnf(i_0_634,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
    | ~ c_Fun_Oinj__on(X1,X5,X4,X6) ),
    cls_inj__on__def_0,
    [final] ).

cnf(i_0_635,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
    | ~ c_Fun_Oinj__on(X1,X5,X4,X6) ),
    cls_inj__on__iff_0,
    [final] ).

cnf(i_0_636,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
    | ~ c_Fun_Oinj__on(X1,X5,X4,X6) ),
    cls_inj__on__contraD_0,
    [final] ).

cnf(i_0_637,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X5,X3,X4) ),
    cls_subset__inj__on_0,
    [final] ).

cnf(i_0_638,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool)))) ),
    cls_DiffE_0,
    [final] ).

cnf(i_0_639,negated_conjecture,
    hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)),
    cls_conjecture_1,
    [final] ).

cnf(i_0_640,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    cls_DiffI_0,
    [final] ).

cnf(i_0_641,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    cls_Diff__iff_2,
    [final] ).

cnf(i_0_642,axiom,
    c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
    cls_insert__Diff__single_0,
    [final] ).

cnf(i_0_643,axiom,
    ( c_Natural_Oevaln(X1,X2,c_Suc(X3),X4)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    cls_evaln__Suc_0,
    [final] ).

cnf(i_0_644,axiom,
    ( hBOOL(hAPP(X1,X2))
    | X3 = X2
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X4)),X2),X3)) ),
    cls_evalc__WHILE__case_0,
    [final] ).

cnf(i_0_645,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    cls_Un__mono_0,
    [final] ).

cnf(i_0_646,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    cls_Diff__mono_0,
    [final] ).

cnf(i_0_647,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
    cls_Diff__insert_0,
    [final] ).

cnf(i_0_648,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | X2 = X4
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1))) ),
    cls_insertE_0,
    [final] ).

cnf(i_0_649,axiom,
    c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    cls_Un__Diff_0,
    [final] ).

cnf(i_0_650,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X4,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    cls_derivs__insertD_0,
    [final] ).

cnf(i_0_651,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    cls_Diff__subset__conv_1,
    [final] ).

cnf(i_0_652,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
    cls_Diff__subset__conv_0,
    [final] ).

cnf(i_0_653,axiom,
    ( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    cls_subset__singletonD_0,
    [final] ).

cnf(i_0_654,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
    cls_sup1E_0,
    [final] ).

cnf(i_0_655,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    cls_UnCI_1,
    [final] ).

cnf(i_0_656,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    cls_UnCI_0,
    [final] ).

cnf(i_0_657,axiom,
    c_Hoare__Mirabelle_Otriple_Otriple__rec(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),X4),X5),X2,X6) = hAPP(hAPP(hAPP(X1,X3),X4),X5),
    cls_triple_Orecs_0,
    [final] ).

cnf(i_0_658,axiom,
    c_Hoare__Mirabelle_Otriple_Otriple__case(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),X4),X5),X2,X6) = hAPP(hAPP(hAPP(X1,X3),X4),X5),
    cls_triple_Ocases_0,
    [final] ).

cnf(i_0_659,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))
    | ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
    cls_eval__eq_1,
    [final] ).

cnf(i_0_660,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))
    | ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
    cls_evaln__evalc_0,
    [final] ).

cnf(i_0_661,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X4),X1))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X4),X2)) ),
    cls_com__det_0,
    [final] ).

cnf(i_0_662,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
    cls_doubleton__eq__iff_4,
    [final] ).

cnf(i_0_663,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))),
    cls_singleton__iff_1,
    [final] ).

cnf(i_0_664,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
    cls_injD_0,
    [final] ).

cnf(i_0_665,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)),
    cls_conjecture_2,
    [final] ).

cnf(i_0_666,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
    cls_Diff__insert__absorb_0,
    [final] ).

cnf(i_0_667,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
    cls_insert__Diff__if_1,
    [final] ).

cnf(i_0_668,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    cls_insert__iff_2,
    [final] ).

cnf(i_0_669,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    cls_insertCI_0,
    [final] ).

cnf(i_0_670,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X3
    | ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
    cls_double__diff_0,
    [final] ).

cnf(i_0_671,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    cls_Un__least_0,
    [final] ).

cnf(i_0_672,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    cls_Un__subset__iff_2,
    [final] ).

cnf(i_0_673,axiom,
    ( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
    cls_insert__subset_2,
    [final] ).

cnf(i_0_674,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    cls_subset__insert_0,
    [final] ).

cnf(i_0_675,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    cls_subset__insert__iff_1,
    [final] ).

cnf(i_0_676,axiom,
    ( hBOOL(hAPP(X1,X2))
    | X3 = X2
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X4),X2,X5,X3) ),
    cls_evaln__WHILE__case_0,
    [final] ).

cnf(i_0_677,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    cls_Un__assoc_0,
    [final] ).

cnf(i_0_678,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    cls_Un__left__commute_0,
    [final] ).

cnf(i_0_679,axiom,
    ( X3 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
    | c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oimage(X2,X3,X4,X1) ),
    cls_empty__is__image_0,
    [final] ).

cnf(i_0_680,axiom,
    ( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_Set_Oimage(X1,X2,X3,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    cls_image__is__empty_0,
    [final] ).

cnf(i_0_681,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
    cls_Un__subset__iff_0,
    [final] ).

cnf(i_0_682,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
    cls_Un__subset__iff_1,
    [final] ).

cnf(i_0_683,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
    cls_insert__Diff1_0,
    [final] ).

cnf(i_0_684,axiom,
    ( hBOOL(hAPP(X1,X2))
    | X3 = X2
    | ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
    cls_insert__code_0,
    [final] ).

cnf(i_0_685,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    cls_subset__insert_1,
    [final] ).

cnf(i_0_686,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    cls_subset__insert__iff_2,
    [final] ).

cnf(i_0_687,axiom,
    ( c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    cls_insert__mono_0,
    [final] ).

cnf(i_0_688,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X2)),X3),X3))
    | hBOOL(hAPP(X1,X3)) ),
    cls_evalc_OWhileFalse_0,
    [final] ).

cnf(i_0_689,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    cls_subset__iff_0,
    [final] ).

cnf(i_0_690,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    cls_set__rev__mp_0,
    [final] ).

cnf(i_0_691,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    cls_subsetD_0,
    [final] ).

cnf(i_0_692,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    cls_set__mp_0,
    [final] ).

cnf(i_0_693,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) ),
    cls_insert__subset_0,
    [final] ).

cnf(i_0_694,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3),
    cls_Un__insert__left_0,
    [final] ).

cnf(i_0_695,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4),
    cls_Un__insert__right_0,
    [final] ).

cnf(i_0_696,axiom,
    ( X1 = X2
    | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X3,X1) ),
    cls_evaln__elim__cases_I1_J_0,
    [final] ).

cnf(i_0_697,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X2))
    | X2 = X4
    | c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X4,X3) ),
    cls_insert__ident_0,
    [final] ).

cnf(i_0_698,axiom,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(hAPP(X1,X4)) ),
    cls_sup1CI_1,
    [final] ).

cnf(i_0_699,axiom,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    cls_sup1CI_0,
    [final] ).

cnf(i_0_700,axiom,
    c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Com_Ocom_OBODY,X3)),X4),X1),
    cls_Body__triple__valid__0_0,
    [final] ).

cnf(i_0_701,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
    cls_bex__empty_0,
    [final] ).

cnf(i_0_702,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
    cls_insert__subset_1,
    [final] ).

cnf(i_0_703,axiom,
    ( X2 = X5
    | hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),X3),X4) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X5),X6),X7) ),
    cls_triple_Oinject_0,
    [final] ).

cnf(i_0_704,axiom,
    ( X3 = X6
    | hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),X3),X4) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X5),X6),X7) ),
    cls_triple_Oinject_1,
    [final] ).

cnf(i_0_705,axiom,
    ( X4 = X7
    | hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),X3),X4) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X5),X6),X7) ),
    cls_triple_Oinject_2,
    [final] ).

cnf(i_0_706,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
    cls_ball__empty_0,
    [final] ).

cnf(i_0_707,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    cls_Diff__partition_0,
    [final] ).

cnf(i_0_708,axiom,
    c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X2,tc_fun(X3,tc_bool)),
    cls_insert__is__Un_0,
    [final] ).

cnf(i_0_709,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_le__sup__iff_2,
    [final] ).

cnf(i_0_710,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_sup__least_0,
    [final] ).

cnf(i_0_711,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_le__supI_0,
    [final] ).

cnf(i_0_712,axiom,
    ( X1 = X3
    | c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) != c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
    cls_singleton__inject_0,
    [final] ).

cnf(i_0_713,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    cls_ex__in__conv_0,
    [final] ).

cnf(i_0_714,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    cls_empty__iff_0,
    [final] ).

cnf(i_0_715,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    cls_emptyE_0,
    [final] ).

cnf(i_0_716,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I6_J_0,
    [final] ).

cnf(i_0_717,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__assoc_0,
    [final] ).

cnf(i_0_718,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I7_J_0,
    [final] ).

cnf(i_0_719,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__left__commute_0,
    [final] ).

cnf(i_0_720,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X4,X2,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    cls_derivs__insertD_1,
    [final] ).

cnf(i_0_721,axiom,
    c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
    cls_vimage__UNIV_0,
    [final] ).

cnf(i_0_722,axiom,
    c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    cls_vimage__empty_0,
    [final] ).

cnf(i_0_723,axiom,
    c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    cls_image__empty_0,
    [final] ).

cnf(i_0_724,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1),
    cls_empty__is__image_1,
    [final] ).

cnf(i_0_725,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_le__iff__diff__le__0_1,
    [final] ).

cnf(i_0_726,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
    cls_insert__commute_0,
    [final] ).

cnf(i_0_727,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    cls_subset__trans_0,
    [final] ).

cnf(i_0_728,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
    cls_insertCI_1,
    [final] ).

cnf(i_0_729,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
    cls_insertI1_0,
    [final] ).

cnf(i_0_730,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
    cls_insert__iff_1,
    [final] ).

cnf(i_0_731,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
    | ~ c_lessequals(X5,X4,X1) ),
    cls_le__eqI_1,
    [final] ).

cnf(i_0_732,axiom,
    ( c_lessequals(X5,X4,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_le__eqI_0,
    [final] ).

cnf(i_0_733,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
    cls_le__sup__iff_0,
    [final] ).

cnf(i_0_734,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
    cls_le__supE_0,
    [final] ).

cnf(i_0_735,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
    cls_le__sup__iff_1,
    [final] ).

cnf(i_0_736,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
    cls_le__supE_1,
    [final] ).

cnf(i_0_737,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
    cls_Un__Diff__cancel2_0,
    [final] ).

cnf(i_0_738,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),
    cls_Diff__idemp_0,
    [final] ).

cnf(i_0_739,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
    cls_Un__left__absorb_0,
    [final] ).

cnf(i_0_740,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
    cls_Un__Diff__cancel_0,
    [final] ).

cnf(i_0_741,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    cls_subset__insertI2_0,
    [final] ).

cnf(i_0_742,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X3)
    | hBOOL(hAPP(X1,X3)) ),
    cls_evaln_OWhileFalse_0,
    [final] ).

cnf(i_0_743,axiom,
    c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
    cls_inj__on__empty_0,
    [final] ).

cnf(i_0_744,axiom,
    ( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    cls_insert__code_2,
    [final] ).

cnf(i_0_745,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
    cls_weaken_0,
    [final] ).

cnf(i_0_746,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_lessequals(X4,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3) ),
    cls_thin_0,
    [final] ).

cnf(i_0_747,axiom,
    ( hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(t_a,X1)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X2,v_x),hAPP(X3,v_x),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_sup__fun__eq_0,
    [final] ).

cnf(i_0_748,axiom,
    ( hAPP(c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(t_a,X1)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X2,v_x),hAPP(X3,v_x),X1)
    | ~ class_HOL_Ominus(X1) ),
    cls_fun__diff__def_0,
    [final] ).

cnf(i_0_749,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_le__iff__diff__le__0_0,
    [final] ).

cnf(i_0_750,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),X2),X1)) ),
    cls_evalc__elim__cases_I1_J_0,
    [final] ).

cnf(i_0_751,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_le__supI1_0,
    [final] ).

cnf(i_0_752,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_le__supI2_0,
    [final] ).

cnf(i_0_753,axiom,
    c_Set_Ovimage(c_Fun_Oid(X1),X2,X1,X1) = X2,
    cls_vimage__id_0,
    [final] ).

cnf(i_0_754,axiom,
    c_Set_Oimage(c_Fun_Oid(X1),X2,X1,X1) = X2,
    cls_image__id_0,
    [final] ).

cnf(i_0_755,axiom,
    c_Fun_Oinj__on(c_Fun_Oid(X1),X2,X1,X1),
    cls_inj__on__id_0,
    [final] ).

cnf(i_0_756,axiom,
    ( hAPP(c_Lattices_Oupper__semilattice__class_Osup(v_f,v_g,tc_fun(t_a,t_b)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(v_f,v_x),hAPP(v_g,v_x),t_b)
    | ~ class_Lattices_Olattice(t_b) ),
    cls_sup__fun__eq__raw_0,
    [final] ).

cnf(i_0_757,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    cls_set__eq__subset_2,
    [final] ).

cnf(i_0_758,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    cls_equalityI_0,
    [final] ).

cnf(i_0_759,axiom,
    c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1),
    cls_evaln_OSkip_0,
    [final] ).

cnf(i_0_760,axiom,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    cls_insert__code_1,
    [final] ).

cnf(i_0_761,axiom,
    ( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
    | ~ class_HOL_Oord(X1)
    | ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
    cls_le__funD_0,
    [final] ).

cnf(i_0_762,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X1),X2))
    | c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    cls_comm__monoid__add_Ononempty__iff_2,
    [final] ).

cnf(i_0_763,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_lessequals(X4,X3,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_order__trans_0,
    [final] ).

cnf(i_0_764,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    cls_xt1_I6_J_0,
    [final] ).

cnf(i_0_765,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    cls_subset__empty_0,
    [final] ).

cnf(i_0_766,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
    cls_Diff__subset_0,
    [final] ).

cnf(i_0_767,axiom,
    c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    cls_Un__upper1_0,
    [final] ).

cnf(i_0_768,axiom,
    c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    cls_Un__upper2_0,
    [final] ).

cnf(i_0_769,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3) ),
    cls_cut_0,
    [final] ).

cnf(i_0_770,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
    cls_insert__absorb_0,
    [final] ).

cnf(i_0_771,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I8_J_0,
    [final] ).

cnf(i_0_772,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__left__idem_0,
    [final] ).

cnf(i_0_773,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
    cls_insert__absorb2_0,
    [final] ).

cnf(i_0_774,axiom,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    cls_bot1E_0,
    [final] ).

cnf(i_0_775,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))),
    cls_UNIV__I_0,
    [final] ).

cnf(i_0_776,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    cls_Un__empty_2,
    [final] ).

cnf(i_0_777,axiom,
    ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1))
    | ~ c_Com_OWT(c_Com_Ocom_OCall(X2,X1,X3)) ),
    cls_WTs__elim__cases_I8_J_0,
    [final] ).

cnf(i_0_778,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
    cls_subset__Un__eq_1,
    [final] ).

cnf(i_0_779,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    cls_Un__absorb2_0,
    [final] ).

cnf(i_0_780,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    cls_Un__absorb1_0,
    [final] ).

cnf(i_0_781,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(X3,X2)) ),
    cls_rev__predicate1D_0,
    [final] ).

cnf(i_0_782,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
    cls_predicate1D_0,
    [final] ).

cnf(i_0_783,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    cls_mem__def_0,
    [final] ).

cnf(i_0_784,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_lessequals(X2,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
    cls_asm_0,
    [final] ).

cnf(i_0_785,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    cls_Un__empty_0,
    [final] ).

cnf(i_0_786,axiom,
    ( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    cls_Un__empty_1,
    [final] ).

cnf(i_0_787,axiom,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    cls_subset__insertI_0,
    [final] ).

cnf(i_0_788,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_order__antisym__conv_0,
    [final] ).

cnf(i_0_789,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_order__antisym_0,
    [final] ).

cnf(i_0_790,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_order__eq__iff_2,
    [final] ).

cnf(i_0_791,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    cls_subset__empty_1,
    [final] ).

cnf(i_0_792,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X4,X1) ),
    cls_eq__eqI_1,
    [final] ).

cnf(i_0_793,axiom,
    ( X3 = X4
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X2,X1) != c_HOL_Ominus__class_Ominus(X3,X4,X1) ),
    cls_eq__eqI_0,
    [final] ).

cnf(i_0_794,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OLocal(X2,X3,X1)) ),
    cls_WTs__elim__cases_I3_J_0,
    [final] ).

cnf(i_0_795,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OCond(X2,X1,X3)) ),
    cls_WTs__elim__cases_I5_J_0,
    [final] ).

cnf(i_0_796,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OCond(X2,X3,X1)) ),
    cls_WTs__elim__cases_I5_J_1,
    [final] ).

cnf(i_0_797,axiom,
    ( X1 = X4
    | c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OLocal(X4,X5,X6) ),
    cls_com_Osimps_I2_J_0,
    [final] ).

cnf(i_0_798,axiom,
    ( X1 = X4
    | c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6) ),
    cls_com_Osimps_I4_J_0,
    [final] ).

cnf(i_0_799,axiom,
    ( X1 = X4
    | c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OCall(X4,X5,X6) ),
    cls_com_Osimps_I7_J_0,
    [final] ).

cnf(i_0_800,axiom,
    ( X2 = X5
    | c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OLocal(X4,X5,X6) ),
    cls_com_Osimps_I2_J_1,
    [final] ).

cnf(i_0_801,axiom,
    ( X2 = X5
    | c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6) ),
    cls_com_Osimps_I4_J_1,
    [final] ).

cnf(i_0_802,axiom,
    ( X2 = X5
    | c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OCall(X4,X5,X6) ),
    cls_com_Osimps_I7_J_1,
    [final] ).

cnf(i_0_803,axiom,
    ( X3 = X6
    | c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OLocal(X4,X5,X6) ),
    cls_com_Osimps_I2_J_2,
    [final] ).

cnf(i_0_804,axiom,
    ( X3 = X6
    | c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6) ),
    cls_com_Osimps_I4_J_2,
    [final] ).

cnf(i_0_805,axiom,
    ( X3 = X6
    | c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OCall(X4,X5,X6) ),
    cls_com_Osimps_I7_J_2,
    [final] ).

cnf(i_0_806,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6),
    cls_com_Osimps_I36_J_0,
    [final] ).

cnf(i_0_807,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OCall(X4,X5,X6),
    cls_com_Osimps_I42_J_0,
    [final] ).

cnf(i_0_808,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OLocal(X4,X5,X6),
    cls_com_Osimps_I37_J_0,
    [final] ).

cnf(i_0_809,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OLocal(X4,X5,X6),
    cls_com_Osimps_I43_J_0,
    [final] ).

cnf(i_0_810,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCall(X4,X5,X6),
    cls_com_Osimps_I56_J_0,
    [final] ).

cnf(i_0_811,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6),
    cls_com_Osimps_I57_J_0,
    [final] ).

cnf(i_0_812,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)) ),
    cls_ATP__Linkup_Ofequal__imp__equal_0,
    [final] ).

cnf(i_0_813,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__ord_I3_J_0,
    [final] ).

cnf(i_0_814,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__ge1_0,
    [final] ).

cnf(i_0_815,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__ord_I4_J_0,
    [final] ).

cnf(i_0_816,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__ge2_0,
    [final] ).

cnf(i_0_817,axiom,
    hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),X1),X1)),
    cls_evalc_OSkip_0,
    [final] ).

cnf(i_0_818,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
    cls_Un__UNIV__left_0,
    [final] ).

cnf(i_0_819,axiom,
    c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    cls_empty__Diff_0,
    [final] ).

cnf(i_0_820,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
    cls_Un__UNIV__right_0,
    [final] ).

cnf(i_0_821,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    cls_Diff__UNIV_0,
    [final] ).

cnf(i_0_822,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
    cls_Un__commute_0,
    [final] ).

cnf(i_0_823,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(X3,X2)) ),
    cls_mem__def_1,
    [final] ).

cnf(i_0_824,axiom,
    ( c_Com_OWT(c_Com_Ocom_OCall(X1,X2,X3))
    | ~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X2)) ),
    cls_WT_OCall_0,
    [final] ).

cnf(i_0_825,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),X2,X3) ),
    cls_triple__valid__Suc_0,
    [final] ).

cnf(i_0_826,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != X3 ),
    cls_le__iff__sup_1,
    [final] ).

cnf(i_0_827,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X2
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_sup__absorb1_0,
    [final] ).

cnf(i_0_828,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X3
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_le__iff__sup_0,
    [final] ).

cnf(i_0_829,axiom,
    hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))),
    cls_bot__empty__eq_0,
    [final] ).

cnf(i_0_830,axiom,
    ( c_Hoare__Mirabelle_Ohoare__valids(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3) ),
    cls_hoare__sound_0,
    [final] ).

cnf(i_0_831,axiom,
    hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
    cls_top1I_0,
    [final] ).

cnf(i_0_832,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2),
    cls_empty_0,
    [final] ).

cnf(i_0_833,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
    cls_Un__empty__left_0,
    [final] ).

cnf(i_0_834,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    cls_Un__empty__right_0,
    [final] ).

cnf(i_0_835,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    cls_Diff__empty_0,
    [final] ).

cnf(i_0_836,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
    cls_empty__subsetI_0,
    [final] ).

cnf(i_0_837,axiom,
    c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    cls_subset__UNIV_0,
    [final] ).

cnf(i_0_838,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
    cls_empty__not__insert_0,
    [final] ).

cnf(i_0_839,axiom,
    c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    cls_insert__not__empty_0,
    [final] ).

cnf(i_0_840,axiom,
    ( c_Com_OWT(c_Com_Ocom_OCond(X1,X2,X3))
    | ~ c_Com_OWT(X3)
    | ~ c_Com_OWT(X2) ),
    cls_WT_OIf_0,
    [final] ).

cnf(i_0_841,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_le__zero__iff__zero__pprt_0,
    [final] ).

cnf(i_0_842,axiom,
    ( c_Com_OWT(c_Com_Ocom_OLocal(X1,X2,X3))
    | ~ c_Com_OWT(X3) ),
    cls_WT_OLocal_0,
    [final] ).

cnf(i_0_843,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) = X2
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_le__zero__iff__pprt__id_0,
    [final] ).

cnf(i_0_844,axiom,
    ( c_lessequals(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__linear_0,
    [final] ).

cnf(i_0_845,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I5_J_0,
    [final] ).

cnf(i_0_846,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__commute_0,
    [final] ).

cnf(i_0_847,axiom,
    ( X2 = X3
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_class__ringb_Osubr0__iff_0,
    [final] ).

cnf(i_0_848,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OWhile(X4,X5),
    cls_com_Osimps_I38_J_0,
    [final] ).

cnf(i_0_849,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OAss(X4,X5),
    cls_com_Osimps_I23_J_0,
    [final] ).

cnf(i_0_850,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OSemi(X4,X5),
    cls_com_Osimps_I34_J_0,
    [final] ).

cnf(i_0_851,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OWhile(X4,X5),
    cls_com_Osimps_I52_J_0,
    [final] ).

cnf(i_0_852,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OAss(X4,X5),
    cls_com_Osimps_I27_J_0,
    [final] ).

cnf(i_0_853,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OSemi(X4,X5),
    cls_com_Osimps_I45_J_0,
    [final] ).

cnf(i_0_854,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OWhile(X4,X5),
    cls_com_Osimps_I61_J_0,
    [final] ).

cnf(i_0_855,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OAss(X4,X5),
    cls_com_Osimps_I33_J_0,
    [final] ).

cnf(i_0_856,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OSemi(X4,X5),
    cls_com_Osimps_I51_J_0,
    [final] ).

cnf(i_0_857,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OLocal(X3,X4,X5),
    cls_com_Osimps_I39_J_0,
    [final] ).

cnf(i_0_858,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OCond(X3,X4,X5),
    cls_com_Osimps_I53_J_0,
    [final] ).

cnf(i_0_859,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OCall(X3,X4,X5),
    cls_com_Osimps_I60_J_0,
    [final] ).

cnf(i_0_860,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OLocal(X3,X4,X5),
    cls_com_Osimps_I22_J_0,
    [final] ).

cnf(i_0_861,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OCond(X3,X4,X5),
    cls_com_Osimps_I26_J_0,
    [final] ).

cnf(i_0_862,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OCall(X3,X4,X5),
    cls_com_Osimps_I32_J_0,
    [final] ).

cnf(i_0_863,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OLocal(X3,X4,X5),
    cls_com_Osimps_I35_J_0,
    [final] ).

cnf(i_0_864,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OCond(X3,X4,X5),
    cls_com_Osimps_I44_J_0,
    [final] ).

cnf(i_0_865,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OCall(X3,X4,X5),
    cls_com_Osimps_I50_J_0,
    [final] ).

cnf(i_0_866,axiom,
    hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
    cls_ATP__Linkup_Oequal__imp__fequal_0,
    [final] ).

cnf(i_0_867,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != hAPP(c_Com_Ocom_OBODY,X4),
    cls_com_Osimps_I40_J_0,
    [final] ).

cnf(i_0_868,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != hAPP(c_Com_Ocom_OBODY,X4),
    cls_com_Osimps_I54_J_0,
    [final] ).

cnf(i_0_869,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != hAPP(c_Com_Ocom_OBODY,X4),
    cls_com_Osimps_I63_J_0,
    [final] ).

cnf(i_0_870,axiom,
    hAPP(c_Com_Ocom_OBODY,X1) != c_Com_Ocom_OLocal(X2,X3,X4),
    cls_com_Osimps_I41_J_0,
    [final] ).

cnf(i_0_871,axiom,
    hAPP(c_Com_Ocom_OBODY,X1) != c_Com_Ocom_OCond(X2,X3,X4),
    cls_com_Osimps_I55_J_0,
    [final] ).

cnf(i_0_872,axiom,
    hAPP(c_Com_Ocom_OBODY,X1) != c_Com_Ocom_OCall(X2,X3,X4),
    cls_com_Osimps_I62_J_0,
    [final] ).

cnf(i_0_873,axiom,
    ( X2 = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1) ),
    cls_sup__eq__bot__eq1_0,
    [final] ).

cnf(i_0_874,axiom,
    ( X3 = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1) ),
    cls_sup__eq__bot__eq2_0,
    [final] ).

cnf(i_0_875,axiom,
    c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    cls_Diff__cancel_0,
    [final] ).

cnf(i_0_876,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Ogroup__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_right__minus__eq_0,
    [final] ).

cnf(i_0_877,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_eq__iff__diff__eq__0_1,
    [final] ).

cnf(i_0_878,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_le__zero__iff__zero__pprt_1,
    [final] ).

cnf(i_0_879,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    cls_zero__le__pprt_0,
    [final] ).

cnf(i_0_880,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) != X2 ),
    cls_le__zero__iff__pprt__id_1,
    [final] ).

cnf(i_0_881,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OSKIP,
    cls_com_Osimps_I11_J_0,
    [final] ).

cnf(i_0_882,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OSKIP,
    cls_com_Osimps_I15_J_0,
    [final] ).

cnf(i_0_883,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OSKIP,
    cls_com_Osimps_I21_J_0,
    [final] ).

cnf(i_0_884,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(X1,X2,X3),
    cls_com_Osimps_I10_J_0,
    [final] ).

cnf(i_0_885,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(X1,X2,X3),
    cls_com_Osimps_I14_J_0,
    [final] ).

cnf(i_0_886,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(X1,X2,X3),
    cls_com_Osimps_I20_J_0,
    [final] ).

cnf(i_0_887,axiom,
    c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    cls_UNIV__not__empty_0,
    [final] ).

cnf(i_0_888,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
    cls_Un__absorb_0,
    [final] ).

cnf(i_0_889,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    cls_subset__refl_0,
    [final] ).

cnf(i_0_890,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    cls_equalityE_0,
    [final] ).

cnf(i_0_891,axiom,
    ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Orderings_Otop(X1) ),
    cls_top__fun__eq_0,
    [final] ).

cnf(i_0_892,axiom,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Orderings_Obot(X1) ),
    cls_bot__fun__eq_0,
    [final] ).

cnf(i_0_893,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    cls_class__ringb_Osubr0__iff_1,
    [final] ).

cnf(i_0_894,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    cls_sup__top__left_0,
    [final] ).

cnf(i_0_895,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    cls_sup__top__right_0,
    [final] ).

cnf(i_0_896,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) = c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a)
    | ~ class_OrderedGroup_Olordered__ab__group__add(t_a) ),
    cls_pprt__def__raw_0,
    [final] ).

cnf(i_0_897,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    cls_sup__bot__left_0,
    [final] ).

cnf(i_0_898,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Obot__class_Obot(X1),X1) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    cls_sup__bot__right_0,
    [final] ).

cnf(i_0_899,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    cls_diff__0__right_0,
    [final] ).

cnf(i_0_900,axiom,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    cls_bot__least_0,
    [final] ).

cnf(i_0_901,axiom,
    ( c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1)
    | ~ class_Orderings_Otop(X1) ),
    cls_top__greatest_0,
    [final] ).

cnf(i_0_902,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    cls_diff__self_0,
    [final] ).

cnf(i_0_903,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    cls_right__minus__eq_1,
    [final] ).

cnf(i_0_904,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_eq__iff__diff__eq__0_0,
    [final] ).

cnf(i_0_905,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__idem_0,
    [final] ).

cnf(i_0_906,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Opreorder(X1) ),
    cls_order__eq__refl_0,
    [final] ).

cnf(i_0_907,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Oorder(X1) ),
    cls_order__eq__iff_0,
    [final] ).

cnf(i_0_908,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OWhile(X2,X1)) ),
    cls_WTs__elim__cases_I6_J_0,
    [final] ).

cnf(i_0_909,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
    cls_WTs__elim__cases_I4_J_0,
    [final] ).

cnf(i_0_910,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OSemi(X2,X1)) ),
    cls_WTs__elim__cases_I4_J_1,
    [final] ).

cnf(i_0_911,axiom,
    hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(X2,X1)) = X2,
    cls_the_Osimps_0,
    [final] ).

cnf(i_0_912,axiom,
    ( X1 = X3
    | c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_OSome(X3,X2) ),
    cls_option_Oinject_0,
    [final] ).

cnf(i_0_913,axiom,
    ( X1 = X3
    | c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OWhile(X3,X4) ),
    cls_com_Osimps_I5_J_0,
    [final] ).

cnf(i_0_914,axiom,
    ( X1 = X3
    | c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OAss(X3,X4) ),
    cls_com_Osimps_I1_J_0,
    [final] ).

cnf(i_0_915,axiom,
    ( X1 = X3
    | c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSemi(X3,X4) ),
    cls_com_Osimps_I3_J_0,
    [final] ).

cnf(i_0_916,axiom,
    ( X2 = X4
    | c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OWhile(X3,X4) ),
    cls_com_Osimps_I5_J_1,
    [final] ).

cnf(i_0_917,axiom,
    ( X2 = X4
    | c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OAss(X3,X4) ),
    cls_com_Osimps_I1_J_1,
    [final] ).

cnf(i_0_918,axiom,
    ( X2 = X4
    | c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSemi(X3,X4) ),
    cls_com_Osimps_I3_J_1,
    [final] ).

cnf(i_0_919,axiom,
    ( c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))
    | ~ c_Com_OWT(X2)
    | ~ c_Com_OWT(X1) ),
    cls_WT_OSemi_0,
    [final] ).

cnf(i_0_920,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OAss(X3,X4),
    cls_com_Osimps_I29_J_0,
    [final] ).

cnf(i_0_921,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OSemi(X3,X4),
    cls_com_Osimps_I47_J_0,
    [final] ).

cnf(i_0_922,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OWhile(X3,X4),
    cls_com_Osimps_I28_J_0,
    [final] ).

cnf(i_0_923,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OWhile(X3,X4),
    cls_com_Osimps_I46_J_0,
    [final] ).

cnf(i_0_924,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OSemi(X3,X4),
    cls_com_Osimps_I24_J_0,
    [final] ).

cnf(i_0_925,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OAss(X3,X4),
    cls_com_Osimps_I25_J_0,
    [final] ).

cnf(i_0_926,axiom,
    ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1))
    | hAPP(c_Com_Obody,X1) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
    cls_WT_OBody_0,
    [final] ).

cnf(i_0_927,axiom,
    hAPP(c_Com_Ocom_OBODY,X1) != c_Com_Ocom_OWhile(X2,X3),
    cls_com_Osimps_I59_J_0,
    [final] ).

cnf(i_0_928,axiom,
    hAPP(c_Com_Ocom_OBODY,X1) != c_Com_Ocom_OAss(X2,X3),
    cls_com_Osimps_I31_J_0,
    [final] ).

cnf(i_0_929,axiom,
    hAPP(c_Com_Ocom_OBODY,X1) != c_Com_Ocom_OSemi(X2,X3),
    cls_com_Osimps_I49_J_0,
    [final] ).

cnf(i_0_930,axiom,
    c_Com_Ocom_OWhile(X1,X2) != hAPP(c_Com_Ocom_OBODY,X3),
    cls_com_Osimps_I58_J_0,
    [final] ).

cnf(i_0_931,axiom,
    c_Com_Ocom_OAss(X1,X2) != hAPP(c_Com_Ocom_OBODY,X3),
    cls_com_Osimps_I30_J_0,
    [final] ).

cnf(i_0_932,axiom,
    c_Com_Ocom_OSemi(X1,X2) != hAPP(c_Com_Ocom_OBODY,X3),
    cls_com_Osimps_I48_J_0,
    [final] ).

cnf(i_0_933,axiom,
    ( X1 = X2
    | hAPP(c_Com_Ocom_OBODY,X1) != hAPP(c_Com_Ocom_OBODY,X2) ),
    cls_com_Osimps_I6_J_0,
    [final] ).

cnf(i_0_934,axiom,
    ( class_Orderings_Opreorder(tc_fun(X1,X2))
    | ~ class_Orderings_Opreorder(X2) ),
    clsarity_fun__Orderings_Opreorder,
    [final] ).

cnf(i_0_935,axiom,
    ( class_Orderings_Oorder(tc_fun(X1,X2))
    | ~ class_Orderings_Oorder(X2) ),
    clsarity_fun__Orderings_Oorder,
    [final] ).

cnf(i_0_936,axiom,
    ( class_Lattices_Olattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    clsarity_fun__Lattices_Olattice,
    [final] ).

cnf(i_0_937,axiom,
    ( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
    | ~ class_Lattices_Obounded__lattice(X2) ),
    clsarity_fun__Lattices_Obounded__lattice,
    [final] ).

cnf(i_0_938,axiom,
    ( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    clsarity_fun__Lattices_Oupper__semilattice,
    [final] ).

cnf(i_0_939,axiom,
    ( class_HOL_Oord(tc_fun(X1,X2))
    | ~ class_HOL_Oord(X2) ),
    clsarity_fun__HOL_Oord,
    [final] ).

cnf(i_0_940,axiom,
    ( class_HOL_Ominus(tc_fun(X1,X2))
    | ~ class_HOL_Ominus(X2) ),
    clsarity_fun__HOL_Ominus,
    [final] ).

cnf(i_0_941,axiom,
    ( class_Orderings_Otop(tc_fun(X1,X2))
    | ~ class_Orderings_Otop(X2) ),
    clsarity_fun__Orderings_Otop,
    [final] ).

cnf(i_0_942,axiom,
    ( class_Orderings_Obot(tc_fun(X1,X2))
    | ~ class_Orderings_Obot(X2) ),
    clsarity_fun__Orderings_Obot,
    [final] ).

cnf(i_0_943,axiom,
    ( c_Com_OWT(c_Com_Ocom_OWhile(X1,X2))
    | ~ c_Com_OWT(X2) ),
    cls_While_0,
    [final] ).

cnf(i_0_944,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    cls_pprt__0_0,
    [final] ).

cnf(i_0_945,axiom,
    c_Com_OWT(c_Com_Ocom_OAss(X1,X2)),
    cls_WT_OAssign_0,
    [final] ).

cnf(i_0_946,axiom,
    c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_ONone(X2),
    cls_not__None__eq_1,
    [final] ).

cnf(i_0_947,axiom,
    c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_ONone(X2),
    cls_option_Osimps_I3_J_0,
    [final] ).

cnf(i_0_948,axiom,
    c_Option_Ooption_ONone(X1) != c_Option_Ooption_OSome(X2,X1),
    cls_option_Osimps_I2_J_0,
    [final] ).

cnf(i_0_949,axiom,
    c_Option_Ooption_ONone(X1) != c_Option_Ooption_OSome(X2,X1),
    cls_not__Some__eq_1,
    [final] ).

cnf(i_0_950,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OSKIP,
    cls_com_Osimps_I17_J_0,
    [final] ).

cnf(i_0_951,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OSKIP,
    cls_com_Osimps_I9_J_0,
    [final] ).

cnf(i_0_952,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSKIP,
    cls_com_Osimps_I13_J_0,
    [final] ).

cnf(i_0_953,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(X1,X2),
    cls_com_Osimps_I16_J_0,
    [final] ).

cnf(i_0_954,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(X1,X2),
    cls_com_Osimps_I8_J_0,
    [final] ).

cnf(i_0_955,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X1,X2),
    cls_com_Osimps_I12_J_0,
    [final] ).

cnf(i_0_956,axiom,
    hAPP(c_Fun_Oid(X1),X2) = X2,
    cls_id__apply_0,
    [final] ).

cnf(i_0_957,axiom,
    hAPP(c_Com_Ocom_OBODY,X1) != c_Com_Ocom_OSKIP,
    cls_com_Osimps_I19_J_0,
    [final] ).

cnf(i_0_958,axiom,
    c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,X1),
    cls_com_Osimps_I18_J_0,
    [final] ).

cnf(i_0_959,axiom,
    hAPP(c_Fun_Oid(t_a),v_x) = v_x,
    cls_id__def_0,
    [final] ).

cnf(i_0_960,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    cls_nat_Oinject_0,
    [final] ).

cnf(i_0_961,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    cls_Suc__inject_0,
    [final] ).

cnf(i_0_962,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
    cls_Zero__neq__Suc_0,
    [final] ).

cnf(i_0_963,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
    cls_nat_Osimps_I2_J_0,
    [final] ).

cnf(i_0_964,axiom,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    cls_Suc__neq__Zero_0,
    [final] ).

cnf(i_0_965,axiom,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    cls_nat_Osimps_I3_J_0,
    [final] ).

cnf(i_0_966,axiom,
    c_Suc(X1) != X1,
    cls_Suc__n__not__n_0,
    [final] ).

cnf(i_0_967,axiom,
    X1 != c_Suc(X1),
    cls_n__not__Suc__n_0,
    [final] ).

cnf(i_0_968,axiom,
    class_Orderings_Olinorder(tc_nat),
    clsarity_nat__Orderings_Olinorder,
    [final] ).

cnf(i_0_969,axiom,
    class_Orderings_Opreorder(tc_nat),
    clsarity_nat__Orderings_Opreorder,
    [final] ).

cnf(i_0_970,axiom,
    class_Orderings_Opreorder(tc_bool),
    clsarity_bool__Orderings_Opreorder,
    [final] ).

cnf(i_0_971,axiom,
    class_Orderings_Oorder(tc_nat),
    clsarity_nat__Orderings_Oorder,
    [final] ).

cnf(i_0_972,axiom,
    class_Orderings_Oorder(tc_bool),
    clsarity_bool__Orderings_Oorder,
    [final] ).

cnf(i_0_973,axiom,
    class_Lattices_Olattice(tc_nat),
    clsarity_nat__Lattices_Olattice,
    [final] ).

cnf(i_0_974,axiom,
    class_Lattices_Olattice(tc_bool),
    clsarity_bool__Lattices_Olattice,
    [final] ).

cnf(i_0_975,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    clsarity_bool__Lattices_Obounded__lattice,
    [final] ).

cnf(i_0_976,axiom,
    class_Lattices_Oupper__semilattice(tc_nat),
    clsarity_nat__Lattices_Oupper__semilattice,
    [final] ).

cnf(i_0_977,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    clsarity_bool__Lattices_Oupper__semilattice,
    [final] ).

cnf(i_0_978,axiom,
    class_HOL_Oord(tc_nat),
    clsarity_nat__HOL_Oord,
    [final] ).

cnf(i_0_979,axiom,
    class_HOL_Oord(tc_bool),
    clsarity_bool__HOL_Oord,
    [final] ).

cnf(i_0_980,axiom,
    class_HOL_Ominus(tc_nat),
    clsarity_nat__HOL_Ominus,
    [final] ).

cnf(i_0_981,axiom,
    class_HOL_Ominus(tc_bool),
    clsarity_bool__HOL_Ominus,
    [final] ).

cnf(i_0_982,axiom,
    class_Orderings_Otop(tc_bool),
    clsarity_bool__Orderings_Otop,
    [final] ).

cnf(i_0_983,axiom,
    class_Orderings_Obot(tc_nat),
    clsarity_nat__Orderings_Obot,
    [final] ).

cnf(i_0_984,axiom,
    class_Orderings_Obot(tc_bool),
    clsarity_bool__Orderings_Obot,
    [final] ).

cnf(i_0_985,axiom,
    c_Com_OWT(c_Com_Ocom_OSKIP),
    cls_WT_OSkip_0,
    [final] ).

cnf(i_0_986,axiom,
    X1 = X1 ).

cnf(i_0_987,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_988,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_989,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X1,X3,X4,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_990,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X1,X4,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X2,X4,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_991,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X1,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X2,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_992,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X1,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X2,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_993,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X1,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X2,X7,X8,X9,X10,X11) ) ).

cnf(i_0_994,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X1,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X2,X8,X9,X10,X11) ) ).

cnf(i_0_995,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X1,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X2,X9,X10,X11) ) ).

cnf(i_0_996,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X1,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X2,X10,X11) ) ).

cnf(i_0_997,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X10,X1,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X10,X2,X11) ) ).

cnf(i_0_998,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X1) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X2) ) ).

cnf(i_0_999,axiom,
    ( X1 != X2
    | c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).

cnf(i_0_1000,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).

cnf(i_0_1001,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).

cnf(i_0_1002,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).

cnf(i_0_1003,axiom,
    ( X1 != X2
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4) ) ).

cnf(i_0_1004,axiom,
    ( X1 != X2
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X4) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X4) ) ).

cnf(i_0_1005,axiom,
    ( X1 != X2
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X2) ) ).

cnf(i_0_1006,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).

cnf(i_0_1007,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).

cnf(i_0_1008,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).

cnf(i_0_1009,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCond(X1,X3,X4) = c_Com_Ocom_OCond(X2,X3,X4) ) ).

cnf(i_0_1010,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCond(X3,X1,X4) = c_Com_Ocom_OCond(X3,X2,X4) ) ).

cnf(i_0_1011,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCond(X3,X4,X1) = c_Com_Ocom_OCond(X3,X4,X2) ) ).

cnf(i_0_1012,axiom,
    ( X1 != X2
    | c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).

cnf(i_0_1013,axiom,
    ( X1 != X2
    | c_COMBC(X1,X3,X4,X5,X6) = c_COMBC(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1014,axiom,
    ( X1 != X2
    | c_COMBC(X3,X1,X4,X5,X6) = c_COMBC(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1015,axiom,
    ( X1 != X2
    | c_COMBC(X3,X4,X1,X5,X6) = c_COMBC(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1016,axiom,
    ( X1 != X2
    | c_COMBC(X3,X4,X5,X1,X6) = c_COMBC(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1017,axiom,
    ( X1 != X2
    | c_COMBC(X3,X4,X5,X6,X1) = c_COMBC(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1018,axiom,
    ( X1 != X2
    | c_Fun_Ofcomp(X1,X3,X4,X5,X6) = c_Fun_Ofcomp(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1019,axiom,
    ( X1 != X2
    | c_Fun_Ofcomp(X3,X1,X4,X5,X6) = c_Fun_Ofcomp(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1020,axiom,
    ( X1 != X2
    | c_Fun_Ofcomp(X3,X4,X1,X5,X6) = c_Fun_Ofcomp(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1021,axiom,
    ( X1 != X2
    | c_Fun_Ofcomp(X3,X4,X5,X1,X6) = c_Fun_Ofcomp(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1022,axiom,
    ( X1 != X2
    | c_Fun_Ofcomp(X3,X4,X5,X6,X1) = c_Fun_Ofcomp(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1023,axiom,
    ( X1 != X2
    | c_Fun_Ocomp(X1,X3,X4,X5,X6) = c_Fun_Ocomp(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1024,axiom,
    ( X1 != X2
    | c_Fun_Ocomp(X3,X1,X4,X5,X6) = c_Fun_Ocomp(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1025,axiom,
    ( X1 != X2
    | c_Fun_Ocomp(X3,X4,X1,X5,X6) = c_Fun_Ocomp(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1026,axiom,
    ( X1 != X2
    | c_Fun_Ocomp(X3,X4,X5,X1,X6) = c_Fun_Ocomp(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1027,axiom,
    ( X1 != X2
    | c_Fun_Ocomp(X3,X4,X5,X6,X1) = c_Fun_Ocomp(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1028,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).

cnf(i_0_1029,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).

cnf(i_0_1030,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).

cnf(i_0_1031,axiom,
    ( X1 != X2
    | c_Orderings_Otop__class_Otop(X1) = c_Orderings_Otop__class_Otop(X2) ) ).

cnf(i_0_1032,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X1,X3,X4,X5) = c_Set_Ovimage(X2,X3,X4,X5) ) ).

cnf(i_0_1033,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X1,X4,X5) = c_Set_Ovimage(X3,X2,X4,X5) ) ).

cnf(i_0_1034,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X4,X1,X5) = c_Set_Ovimage(X3,X4,X2,X5) ) ).

cnf(i_0_1035,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X4,X5,X1) = c_Set_Ovimage(X3,X4,X5,X2) ) ).

cnf(i_0_1036,axiom,
    ( X1 != X2
    | hAPP(X1,X3) = hAPP(X2,X3) ) ).

cnf(i_0_1037,axiom,
    ( X1 != X2
    | hAPP(X3,X1) = hAPP(X3,X2) ) ).

cnf(i_0_1038,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple__case(X1,X3,X4,X5) = c_Hoare__Mirabelle_Otriple_Otriple__case(X2,X3,X4,X5) ) ).

cnf(i_0_1039,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple__case(X3,X1,X4,X5) = c_Hoare__Mirabelle_Otriple_Otriple__case(X3,X2,X4,X5) ) ).

cnf(i_0_1040,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple__case(X3,X4,X1,X5) = c_Hoare__Mirabelle_Otriple_Otriple__case(X3,X4,X2,X5) ) ).

cnf(i_0_1041,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple__case(X3,X4,X5,X1) = c_Hoare__Mirabelle_Otriple_Otriple__case(X3,X4,X5,X2) ) ).

cnf(i_0_1042,axiom,
    ( X1 != X2
    | c_Suc(X1) = c_Suc(X2) ) ).

cnf(i_0_1043,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple__rec(X1,X3,X4,X5) = c_Hoare__Mirabelle_Otriple_Otriple__rec(X2,X3,X4,X5) ) ).

cnf(i_0_1044,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple__rec(X3,X1,X4,X5) = c_Hoare__Mirabelle_Otriple_Otriple__rec(X3,X2,X4,X5) ) ).

cnf(i_0_1045,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple__rec(X3,X4,X1,X5) = c_Hoare__Mirabelle_Otriple_Otriple__rec(X3,X4,X2,X5) ) ).

cnf(i_0_1046,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple__rec(X3,X4,X5,X1) = c_Hoare__Mirabelle_Otriple_Otriple__rec(X3,X4,X5,X2) ) ).

cnf(i_0_1047,axiom,
    ( X1 != X2
    | c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ozero__class_Ozero(X2) ) ).

cnf(i_0_1048,axiom,
    ( X1 != X2
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X3) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X3) ) ).

cnf(i_0_1049,axiom,
    ( X1 != X2
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X1) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X2) ) ).

cnf(i_0_1050,axiom,
    ( X1 != X2
    | c_Option_Ooption_OSome(X1,X3) = c_Option_Ooption_OSome(X2,X3) ) ).

cnf(i_0_1051,axiom,
    ( X1 != X2
    | c_Option_Ooption_OSome(X3,X1) = c_Option_Ooption_OSome(X3,X2) ) ).

cnf(i_0_1052,axiom,
    ( X1 != X2
    | c_Option_Ooption_ONone(X1) = c_Option_Ooption_ONone(X2) ) ).

cnf(i_0_1053,axiom,
    ( X1 != X2
    | c_Com_Ocom_OSemi(X1,X3) = c_Com_Ocom_OSemi(X2,X3) ) ).

cnf(i_0_1054,axiom,
    ( X1 != X2
    | c_Com_Ocom_OSemi(X3,X1) = c_Com_Ocom_OSemi(X3,X2) ) ).

cnf(i_0_1055,axiom,
    ( X1 != X2
    | c_Com_Ocom_OLocal(X1,X3,X4) = c_Com_Ocom_OLocal(X2,X3,X4) ) ).

cnf(i_0_1056,axiom,
    ( X1 != X2
    | c_Com_Ocom_OLocal(X3,X1,X4) = c_Com_Ocom_OLocal(X3,X2,X4) ) ).

cnf(i_0_1057,axiom,
    ( X1 != X2
    | c_Com_Ocom_OLocal(X3,X4,X1) = c_Com_Ocom_OLocal(X3,X4,X2) ) ).

cnf(i_0_1058,axiom,
    ( X1 != X2
    | c_Com_Ocom_OWhile(X1,X3) = c_Com_Ocom_OWhile(X2,X3) ) ).

cnf(i_0_1059,axiom,
    ( X1 != X2
    | c_Com_Ocom_OWhile(X3,X1) = c_Com_Ocom_OWhile(X3,X2) ) ).

cnf(i_0_1060,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCall(X1,X3,X4) = c_Com_Ocom_OCall(X2,X3,X4) ) ).

cnf(i_0_1061,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCall(X3,X1,X4) = c_Com_Ocom_OCall(X3,X2,X4) ) ).

cnf(i_0_1062,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCall(X3,X4,X1) = c_Com_Ocom_OCall(X3,X4,X2) ) ).

cnf(i_0_1063,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X1,X3,X4,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1064,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X1,X4,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X2,X4,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1065,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X1,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X2,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1066,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X1,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X2,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1067,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X1,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X2,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1068,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X1,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X2,X8,X9,X10,X11) ) ).

cnf(i_0_1069,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X1,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X2,X9,X10,X11) ) ).

cnf(i_0_1070,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X1,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X2,X10,X11) ) ).

cnf(i_0_1071,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X10,X1,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X10,X2,X11) ) ).

cnf(i_0_1072,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X1) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X2) ) ).

cnf(i_0_1073,axiom,
    ( X1 != X2
    | c_Com_Ocom_OAss(X1,X3) = c_Com_Ocom_OAss(X2,X3) ) ).

cnf(i_0_1074,axiom,
    ( X1 != X2
    | c_Com_Ocom_OAss(X3,X1) = c_Com_Ocom_OAss(X3,X2) ) ).

cnf(i_0_1075,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X1,X3,X4)
    | c_Hoare__Mirabelle_Ohoare__valids(X2,X3,X4) ) ).

cnf(i_0_1076,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X3,X1,X4)
    | c_Hoare__Mirabelle_Ohoare__valids(X3,X2,X4) ) ).

cnf(i_0_1077,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X3,X4,X1)
    | c_Hoare__Mirabelle_Ohoare__valids(X3,X4,X2) ) ).

cnf(i_0_1078,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X2) ) ).

cnf(i_0_1079,axiom,
    ( X1 != X2
    | ~ class_HOL_Ominus(X1)
    | class_HOL_Ominus(X2) ) ).

cnf(i_0_1080,axiom,
    ( X1 != X2
    | ~ class_HOL_Oord(X1)
    | class_HOL_Oord(X2) ) ).

cnf(i_0_1081,axiom,
    ( X1 != X2
    | ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(X2) ) ).

cnf(i_0_1082,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_1083,axiom,
    ( X1 != X2
    | ~ c_Com_OWT(X1)
    | c_Com_OWT(X2) ) ).

cnf(i_0_1084,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(X2) ) ).

cnf(i_0_1085,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | class_OrderedGroup_Olordered__ab__group__add(X2) ) ).

cnf(i_0_1086,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_1087,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oidom(X2) ) ).

cnf(i_0_1088,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X4)
    | c_Hoare__Mirabelle_Ohoare__derivs(X2,X3,X4) ) ).

cnf(i_0_1089,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X1,X4)
    | c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X4) ) ).

cnf(i_0_1090,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X4,X1)
    | c_Hoare__Mirabelle_Ohoare__derivs(X3,X4,X2) ) ).

cnf(i_0_1091,axiom,
    ( X1 != X2
    | ~ class_Int_Onumber__ring(X1)
    | class_Int_Onumber__ring(X2) ) ).

cnf(i_0_1092,axiom,
    ( X1 != X2
    | ~ class_Lattices_Obounded__lattice(X1)
    | class_Lattices_Obounded__lattice(X2) ) ).

cnf(i_0_1093,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ogroup__add(X1)
    | class_OrderedGroup_Ogroup__add(X2) ) ).

cnf(i_0_1094,axiom,
    ( X1 != X2
    | ~ class_Orderings_Otop(X1)
    | class_Orderings_Otop(X2) ) ).

cnf(i_0_1095,axiom,
    ( X1 != X2
    | ~ class_Orderings_Obot(X1)
    | class_Orderings_Obot(X2) ) ).

cnf(i_0_1096,axiom,
    ( X1 != X2
    | ~ hBOOL(X1)
    | hBOOL(X2) ) ).

cnf(i_0_1097,axiom,
    ( X1 != X2
    | ~ c_lessequals(X1,X3,X4)
    | c_lessequals(X2,X3,X4) ) ).

cnf(i_0_1098,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X1,X4)
    | c_lessequals(X3,X2,X4) ) ).

cnf(i_0_1099,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X4,X1)
    | c_lessequals(X3,X4,X2) ) ).

cnf(i_0_1100,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | c_Fun_Oinj__on(X2,X3,X4,X5) ) ).

cnf(i_0_1101,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5)
    | c_Fun_Oinj__on(X3,X2,X4,X5) ) ).

cnf(i_0_1102,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X4,X1,X5)
    | c_Fun_Oinj__on(X3,X4,X2,X5) ) ).

cnf(i_0_1103,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X1)
    | c_Fun_Oinj__on(X3,X4,X5,X2) ) ).

cnf(i_0_1104,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Otriple__valid(X1,X3,X4)
    | c_Hoare__Mirabelle_Otriple__valid(X2,X3,X4) ) ).

cnf(i_0_1105,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Otriple__valid(X3,X1,X4)
    | c_Hoare__Mirabelle_Otriple__valid(X3,X2,X4) ) ).

cnf(i_0_1106,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Otriple__valid(X3,X4,X1)
    | c_Hoare__Mirabelle_Otriple__valid(X3,X4,X2) ) ).

cnf(i_0_1107,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevaln(X1,X3,X4,X5)
    | c_Natural_Oevaln(X2,X3,X4,X5) ) ).

cnf(i_0_1108,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevaln(X3,X1,X4,X5)
    | c_Natural_Oevaln(X3,X2,X4,X5) ) ).

cnf(i_0_1109,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevaln(X3,X4,X1,X5)
    | c_Natural_Oevaln(X3,X4,X2,X5) ) ).

cnf(i_0_1110,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevaln(X3,X4,X5,X1)
    | c_Natural_Oevaln(X3,X4,X5,X2) ) ).

cnf(i_0_1111,axiom,
    ( X1 != X2
    | ~ class_Lattices_Oupper__semilattice(X1)
    | class_Lattices_Oupper__semilattice(X2) ) ).

cnf(i_0_1112,axiom,
    ( X1 != X2
    | ~ class_Lattices_Olattice(X1)
    | class_Lattices_Olattice(X2) ) ).

cnf(i_0_986_001,axiom,
    X1 = X1 ).

cnf(i_0_987_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_988_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_989_004,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X1,X3,X4,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_990_005,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X1,X4,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X2,X4,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_991_006,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X1,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X2,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_992_007,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X1,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X2,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_993_008,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X1,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X2,X7,X8,X9,X10,X11) ) ).

cnf(i_0_994_009,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X1,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X2,X8,X9,X10,X11) ) ).

cnf(i_0_995_010,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X1,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X2,X9,X10,X11) ) ).

cnf(i_0_996_011,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X1,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X2,X10,X11) ) ).

cnf(i_0_997_012,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X10,X1,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X10,X2,X11) ) ).

cnf(i_0_998_013,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X1) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X2) ) ).

cnf(i_0_999_014,axiom,
    ( X1 != X2
    | c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).

cnf(i_0_1000_015,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).

cnf(i_0_1001_016,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).

cnf(i_0_1002_017,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).

cnf(i_0_1003_018,axiom,
    ( X1 != X2
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4) ) ).

cnf(i_0_1004_019,axiom,
    ( X1 != X2
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X4) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X4) ) ).

cnf(i_0_1005_020,axiom,
    ( X1 != X2
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X2) ) ).

cnf(i_0_1006_021,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).

cnf(i_0_1007_022,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).

cnf(i_0_1008_023,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).

cnf(i_0_1009_024,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCond(X1,X3,X4) = c_Com_Ocom_OCond(X2,X3,X4) ) ).

cnf(i_0_1010_025,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCond(X3,X1,X4) = c_Com_Ocom_OCond(X3,X2,X4) ) ).

cnf(i_0_1011_026,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCond(X3,X4,X1) = c_Com_Ocom_OCond(X3,X4,X2) ) ).

cnf(i_0_1012_027,axiom,
    ( X1 != X2
    | c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).

cnf(i_0_1013_028,axiom,
    ( X1 != X2
    | c_COMBC(X1,X3,X4,X5,X6) = c_COMBC(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1014_029,axiom,
    ( X1 != X2
    | c_COMBC(X3,X1,X4,X5,X6) = c_COMBC(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1015_030,axiom,
    ( X1 != X2
    | c_COMBC(X3,X4,X1,X5,X6) = c_COMBC(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1016_031,axiom,
    ( X1 != X2
    | c_COMBC(X3,X4,X5,X1,X6) = c_COMBC(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1017_032,axiom,
    ( X1 != X2
    | c_COMBC(X3,X4,X5,X6,X1) = c_COMBC(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1018_033,axiom,
    ( X1 != X2
    | c_Fun_Ofcomp(X1,X3,X4,X5,X6) = c_Fun_Ofcomp(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1019_034,axiom,
    ( X1 != X2
    | c_Fun_Ofcomp(X3,X1,X4,X5,X6) = c_Fun_Ofcomp(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1020_035,axiom,
    ( X1 != X2
    | c_Fun_Ofcomp(X3,X4,X1,X5,X6) = c_Fun_Ofcomp(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1021_036,axiom,
    ( X1 != X2
    | c_Fun_Ofcomp(X3,X4,X5,X1,X6) = c_Fun_Ofcomp(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1022_037,axiom,
    ( X1 != X2
    | c_Fun_Ofcomp(X3,X4,X5,X6,X1) = c_Fun_Ofcomp(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1023_038,axiom,
    ( X1 != X2
    | c_Fun_Ocomp(X1,X3,X4,X5,X6) = c_Fun_Ocomp(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1024_039,axiom,
    ( X1 != X2
    | c_Fun_Ocomp(X3,X1,X4,X5,X6) = c_Fun_Ocomp(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1025_040,axiom,
    ( X1 != X2
    | c_Fun_Ocomp(X3,X4,X1,X5,X6) = c_Fun_Ocomp(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1026_041,axiom,
    ( X1 != X2
    | c_Fun_Ocomp(X3,X4,X5,X1,X6) = c_Fun_Ocomp(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1027_042,axiom,
    ( X1 != X2
    | c_Fun_Ocomp(X3,X4,X5,X6,X1) = c_Fun_Ocomp(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1028_043,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).

cnf(i_0_1029_044,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).

cnf(i_0_1030_045,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).

cnf(i_0_1031_046,axiom,
    ( X1 != X2
    | c_Orderings_Otop__class_Otop(X1) = c_Orderings_Otop__class_Otop(X2) ) ).

cnf(i_0_1032_047,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X1,X3,X4,X5) = c_Set_Ovimage(X2,X3,X4,X5) ) ).

cnf(i_0_1033_048,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X1,X4,X5) = c_Set_Ovimage(X3,X2,X4,X5) ) ).

cnf(i_0_1034_049,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X4,X1,X5) = c_Set_Ovimage(X3,X4,X2,X5) ) ).

cnf(i_0_1035_050,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X4,X5,X1) = c_Set_Ovimage(X3,X4,X5,X2) ) ).

cnf(i_0_1036_051,axiom,
    ( X1 != X2
    | hAPP(X1,X3) = hAPP(X2,X3) ) ).

cnf(i_0_1037_052,axiom,
    ( X1 != X2
    | hAPP(X3,X1) = hAPP(X3,X2) ) ).

cnf(i_0_1038_053,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple__case(X1,X3,X4,X5) = c_Hoare__Mirabelle_Otriple_Otriple__case(X2,X3,X4,X5) ) ).

cnf(i_0_1039_054,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple__case(X3,X1,X4,X5) = c_Hoare__Mirabelle_Otriple_Otriple__case(X3,X2,X4,X5) ) ).

cnf(i_0_1040_055,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple__case(X3,X4,X1,X5) = c_Hoare__Mirabelle_Otriple_Otriple__case(X3,X4,X2,X5) ) ).

cnf(i_0_1041_056,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple__case(X3,X4,X5,X1) = c_Hoare__Mirabelle_Otriple_Otriple__case(X3,X4,X5,X2) ) ).

cnf(i_0_1042_057,axiom,
    ( X1 != X2
    | c_Suc(X1) = c_Suc(X2) ) ).

cnf(i_0_1043_058,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple__rec(X1,X3,X4,X5) = c_Hoare__Mirabelle_Otriple_Otriple__rec(X2,X3,X4,X5) ) ).

cnf(i_0_1044_059,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple__rec(X3,X1,X4,X5) = c_Hoare__Mirabelle_Otriple_Otriple__rec(X3,X2,X4,X5) ) ).

cnf(i_0_1045_060,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple__rec(X3,X4,X1,X5) = c_Hoare__Mirabelle_Otriple_Otriple__rec(X3,X4,X2,X5) ) ).

cnf(i_0_1046_061,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple__rec(X3,X4,X5,X1) = c_Hoare__Mirabelle_Otriple_Otriple__rec(X3,X4,X5,X2) ) ).

cnf(i_0_1047_062,axiom,
    ( X1 != X2
    | c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ozero__class_Ozero(X2) ) ).

cnf(i_0_1048_063,axiom,
    ( X1 != X2
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X3) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X3) ) ).

cnf(i_0_1049_064,axiom,
    ( X1 != X2
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X1) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X2) ) ).

cnf(i_0_1050_065,axiom,
    ( X1 != X2
    | c_Option_Ooption_OSome(X1,X3) = c_Option_Ooption_OSome(X2,X3) ) ).

cnf(i_0_1051_066,axiom,
    ( X1 != X2
    | c_Option_Ooption_OSome(X3,X1) = c_Option_Ooption_OSome(X3,X2) ) ).

cnf(i_0_1052_067,axiom,
    ( X1 != X2
    | c_Option_Ooption_ONone(X1) = c_Option_Ooption_ONone(X2) ) ).

cnf(i_0_1053_068,axiom,
    ( X1 != X2
    | c_Com_Ocom_OSemi(X1,X3) = c_Com_Ocom_OSemi(X2,X3) ) ).

cnf(i_0_1054_069,axiom,
    ( X1 != X2
    | c_Com_Ocom_OSemi(X3,X1) = c_Com_Ocom_OSemi(X3,X2) ) ).

cnf(i_0_1055_070,axiom,
    ( X1 != X2
    | c_Com_Ocom_OLocal(X1,X3,X4) = c_Com_Ocom_OLocal(X2,X3,X4) ) ).

cnf(i_0_1056_071,axiom,
    ( X1 != X2
    | c_Com_Ocom_OLocal(X3,X1,X4) = c_Com_Ocom_OLocal(X3,X2,X4) ) ).

cnf(i_0_1057_072,axiom,
    ( X1 != X2
    | c_Com_Ocom_OLocal(X3,X4,X1) = c_Com_Ocom_OLocal(X3,X4,X2) ) ).

cnf(i_0_1058_073,axiom,
    ( X1 != X2
    | c_Com_Ocom_OWhile(X1,X3) = c_Com_Ocom_OWhile(X2,X3) ) ).

cnf(i_0_1059_074,axiom,
    ( X1 != X2
    | c_Com_Ocom_OWhile(X3,X1) = c_Com_Ocom_OWhile(X3,X2) ) ).

cnf(i_0_1060_075,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCall(X1,X3,X4) = c_Com_Ocom_OCall(X2,X3,X4) ) ).

cnf(i_0_1061_076,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCall(X3,X1,X4) = c_Com_Ocom_OCall(X3,X2,X4) ) ).

cnf(i_0_1062_077,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCall(X3,X4,X1) = c_Com_Ocom_OCall(X3,X4,X2) ) ).

cnf(i_0_1063_078,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X1,X3,X4,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1064_079,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X1,X4,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X2,X4,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1065_080,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X1,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X2,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1066_081,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X1,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X2,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1067_082,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X1,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X2,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1068_083,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X1,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X2,X8,X9,X10,X11) ) ).

cnf(i_0_1069_084,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X1,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X2,X9,X10,X11) ) ).

cnf(i_0_1070_085,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X1,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X2,X10,X11) ) ).

cnf(i_0_1071_086,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X10,X1,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X10,X2,X11) ) ).

cnf(i_0_1072_087,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X1) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X2) ) ).

cnf(i_0_1073_088,axiom,
    ( X1 != X2
    | c_Com_Ocom_OAss(X1,X3) = c_Com_Ocom_OAss(X2,X3) ) ).

cnf(i_0_1074_089,axiom,
    ( X1 != X2
    | c_Com_Ocom_OAss(X3,X1) = c_Com_Ocom_OAss(X3,X2) ) ).

cnf(i_0_1075_090,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X1,X3,X4)
    | c_Hoare__Mirabelle_Ohoare__valids(X2,X3,X4) ) ).

cnf(i_0_1076_091,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X3,X1,X4)
    | c_Hoare__Mirabelle_Ohoare__valids(X3,X2,X4) ) ).

cnf(i_0_1077_092,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X3,X4,X1)
    | c_Hoare__Mirabelle_Ohoare__valids(X3,X4,X2) ) ).

cnf(i_0_1078_093,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X2) ) ).

cnf(i_0_1079_094,axiom,
    ( X1 != X2
    | ~ class_HOL_Ominus(X1)
    | class_HOL_Ominus(X2) ) ).

cnf(i_0_1080_095,axiom,
    ( X1 != X2
    | ~ class_HOL_Oord(X1)
    | class_HOL_Oord(X2) ) ).

cnf(i_0_1081_096,axiom,
    ( X1 != X2
    | ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(X2) ) ).

cnf(i_0_1082_097,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_1083_098,axiom,
    ( X1 != X2
    | ~ c_Com_OWT(X1)
    | c_Com_OWT(X2) ) ).

cnf(i_0_1084_099,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(X2) ) ).

cnf(i_0_1085_100,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | class_OrderedGroup_Olordered__ab__group__add(X2) ) ).

cnf(i_0_1086_101,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_1087_102,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oidom(X2) ) ).

cnf(i_0_1088_103,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X4)
    | c_Hoare__Mirabelle_Ohoare__derivs(X2,X3,X4) ) ).

cnf(i_0_1089_104,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X1,X4)
    | c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X4) ) ).

cnf(i_0_1090_105,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X4,X1)
    | c_Hoare__Mirabelle_Ohoare__derivs(X3,X4,X2) ) ).

cnf(i_0_1091_106,axiom,
    ( X1 != X2
    | ~ class_Int_Onumber__ring(X1)
    | class_Int_Onumber__ring(X2) ) ).

cnf(i_0_1092_107,axiom,
    ( X1 != X2
    | ~ class_Lattices_Obounded__lattice(X1)
    | class_Lattices_Obounded__lattice(X2) ) ).

cnf(i_0_1093_108,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ogroup__add(X1)
    | class_OrderedGroup_Ogroup__add(X2) ) ).

cnf(i_0_1094_109,axiom,
    ( X1 != X2
    | ~ class_Orderings_Otop(X1)
    | class_Orderings_Otop(X2) ) ).

cnf(i_0_1095_110,axiom,
    ( X1 != X2
    | ~ class_Orderings_Obot(X1)
    | class_Orderings_Obot(X2) ) ).

cnf(i_0_1096_111,axiom,
    ( X1 != X2
    | ~ hBOOL(X1)
    | hBOOL(X2) ) ).

cnf(i_0_1097_112,axiom,
    ( X1 != X2
    | ~ c_lessequals(X1,X3,X4)
    | c_lessequals(X2,X3,X4) ) ).

cnf(i_0_1098_113,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X1,X4)
    | c_lessequals(X3,X2,X4) ) ).

cnf(i_0_1099_114,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X4,X1)
    | c_lessequals(X3,X4,X2) ) ).

cnf(i_0_1100_115,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | c_Fun_Oinj__on(X2,X3,X4,X5) ) ).

cnf(i_0_1101_116,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5)
    | c_Fun_Oinj__on(X3,X2,X4,X5) ) ).

cnf(i_0_1102_117,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X4,X1,X5)
    | c_Fun_Oinj__on(X3,X4,X2,X5) ) ).

cnf(i_0_1103_118,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X1)
    | c_Fun_Oinj__on(X3,X4,X5,X2) ) ).

cnf(i_0_1104_119,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Otriple__valid(X1,X3,X4)
    | c_Hoare__Mirabelle_Otriple__valid(X2,X3,X4) ) ).

cnf(i_0_1105_120,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Otriple__valid(X3,X1,X4)
    | c_Hoare__Mirabelle_Otriple__valid(X3,X2,X4) ) ).

cnf(i_0_1106_121,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Otriple__valid(X3,X4,X1)
    | c_Hoare__Mirabelle_Otriple__valid(X3,X4,X2) ) ).

cnf(i_0_1107_122,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevaln(X1,X3,X4,X5)
    | c_Natural_Oevaln(X2,X3,X4,X5) ) ).

cnf(i_0_1108_123,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevaln(X3,X1,X4,X5)
    | c_Natural_Oevaln(X3,X2,X4,X5) ) ).

cnf(i_0_1109_124,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevaln(X3,X4,X1,X5)
    | c_Natural_Oevaln(X3,X4,X2,X5) ) ).

cnf(i_0_1110_125,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevaln(X3,X4,X5,X1)
    | c_Natural_Oevaln(X3,X4,X5,X2) ) ).

cnf(i_0_1111_126,axiom,
    ( X1 != X2
    | ~ class_Lattices_Oupper__semilattice(X1)
    | class_Lattices_Oupper__semilattice(X2) ) ).

cnf(i_0_1112_127,axiom,
    ( X1 != X2
    | ~ class_Lattices_Olattice(X1)
    | class_Lattices_Olattice(X2) ) ).

cnf(i_0_1113,plain,
    hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(c_Fun_Ocomp(X1,X2,X7,X4,X8),X6),
    inference(equality_inference,[],[522]) ).

cnf(i_0_1114,plain,
    X1 = X1,
    inference(equality_inference,[],[527]) ).

cnf(i_0_1115,plain,
    hAPP(X1,hAPP(X2,X3)) = hAPP(X1,hAPP(X2,X3)),
    inference(equality_inference,[],[528]) ).

cnf(i_0_1116,plain,
    hAPP(c_Fun_Oid(X1),hAPP(X2,X3)) = hAPP(X2,X3),
    inference(equality_inference,[],[529]) ).

cnf(i_0_1117,plain,
    ( X1 = X1
    | ~ c_Fun_Oinj__on(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X3,tc_bool)),X3,X4) ),
    inference(equality_inference,[],[577]) ).

cnf(i_0_1118,plain,
    ( X1 = X1
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    inference(equality_inference,[],[592]) ).

cnf(i_0_1119,plain,
    ( X1 = X2
    | X1 = X1 ),
    inference(equality_inference,[],[617]) ).

cnf(i_0_1120,plain,
    ( X1 = X2
    | X2 = X2 ),
    inference(equality_inference,[],[618]) ).

cnf(i_0_1121,plain,
    ( X1 = X2
    | X2 = X2 ),
    inference(equality_inference,[],[619]) ).

cnf(i_0_1122,plain,
    ( X1 = X2
    | X1 = X1 ),
    inference(equality_inference,[],[620]) ).

cnf(i_0_1123,plain,
    ( X1 = X1
    | ~ c_Fun_Oinj__on(X2,X3,X4,X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X1),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X1),X3)) ),
    inference(equality_inference,[],[636]) ).

cnf(i_0_1124,plain,
    ( X1 = X1
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    inference(equality_inference,[],[664]) ).

cnf(i_0_1125,plain,
    ( X1 = X1
    | hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | hBOOL(hAPP(hAPP(c_in(X2),X3),X1)) ),
    inference(equality_inference,[],[697]) ).

cnf(i_0_1126,plain,
    X1 = X1,
    inference(equality_inference,[],[703]) ).

cnf(i_0_1127,plain,
    X1 = X1,
    inference(equality_inference,[],[704]) ).

cnf(i_0_1128,plain,
    X1 = X1,
    inference(equality_inference,[],[705]) ).

cnf(i_0_1129,plain,
    X1 = X1,
    inference(equality_inference,[],[712]) ).

cnf(i_0_1130,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(equality_inference,[],[792]) ).

cnf(i_0_1131,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(equality_inference,[],[793]) ).

cnf(i_0_1132,plain,
    X1 = X1,
    inference(equality_inference,[],[797]) ).

cnf(i_0_1133,plain,
    X1 = X1,
    inference(equality_inference,[],[798]) ).

cnf(i_0_1134,plain,
    X1 = X1,
    inference(equality_inference,[],[799]) ).

cnf(i_0_1135,plain,
    X1 = X1,
    inference(equality_inference,[],[800]) ).

cnf(i_0_1136,plain,
    X1 = X1,
    inference(equality_inference,[],[801]) ).

cnf(i_0_1137,plain,
    X1 = X1,
    inference(equality_inference,[],[802]) ).

cnf(i_0_1138,plain,
    X1 = X1,
    inference(equality_inference,[],[803]) ).

cnf(i_0_1139,plain,
    X1 = X1,
    inference(equality_inference,[],[804]) ).

cnf(i_0_1140,plain,
    X1 = X1,
    inference(equality_inference,[],[805]) ).

cnf(i_0_1141,plain,
    X1 = X1,
    inference(equality_inference,[],[912]) ).

cnf(i_0_1142,plain,
    X1 = X1,
    inference(equality_inference,[],[913]) ).

cnf(i_0_1143,plain,
    X1 = X1,
    inference(equality_inference,[],[914]) ).

cnf(i_0_1144,plain,
    X1 = X1,
    inference(equality_inference,[],[915]) ).

cnf(i_0_1145,plain,
    X1 = X1,
    inference(equality_inference,[],[916]) ).

cnf(i_0_1146,plain,
    X1 = X1,
    inference(equality_inference,[],[917]) ).

cnf(i_0_1147,plain,
    X1 = X1,
    inference(equality_inference,[],[918]) ).

cnf(i_0_1148,plain,
    X1 = X1,
    inference(equality_inference,[],[933]) ).

cnf(i_0_1149,plain,
    X1 = X1,
    inference(equality_inference,[],[961]) ).

cnf(i_0_1150,plain,
    $false,
    inference(scs_inference,[],[i_0_665,i_0_639,i_0_569]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV897-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n010.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Tue May  5 06:07:36 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 0.51/1.67  % Version  : CSE_E---1.7
% 0.51/1.67  % Problem  : theBenchmark.p
% 0.51/1.67  % SZS status Unsatisfiable for theBenchmark.p
% 0.51/1.67  % SZS output start CNFRefutation
% See solution above
% 0.56/1.74  % Total time : 1.325s
%------------------------------------------------------------------------------