TSTP Solution File: SWV841-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV841-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n011.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 : Thu Aug 31 21:48:21 EDT 2023

% Result   : Unsatisfiable 0.49s 1.23s
% Output   : CNFRefutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   94
% Syntax   : Number of formulae    :  122 (  25 unt;  81 typ;   0 def)
%            Number of atoms       :   60 (  13 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   43 (  24   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  185 (  74   >; 111   *;   0   +;   0  <<)
%            Number of predicates  :   27 (  25 usr;   1 prp; 0-9 aty)
%            Number of functors    :   56 (  56 usr;   7 con; 0-6 aty)
%            Number of variables   :   66 (  23 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    class_Lattices_Olower__semilattice: $i > $o ).

tff(decl_23,type,
    c_lessequals: ( $i * $i * $i ) > $o ).

tff(decl_24,type,
    c_in: ( $i * $i * $i ) > $i ).

tff(decl_25,type,
    hBOOL: $i > $o ).

tff(decl_26,type,
    c_Lattices_Olower__semilattice__class_Oinf: $i > $i ).

tff(decl_27,type,
    c_Finite__Set_Ofold1: ( $i * $i * $i ) > $i ).

tff(decl_28,type,
    tc_bool: $i ).

tff(decl_29,type,
    tc_fun: ( $i * $i ) > $i ).

tff(decl_30,type,
    c_Orderings_Obot__class_Obot: $i > $i ).

tff(decl_31,type,
    c_Finite__Set_Ofinite: ( $i * $i ) > $o ).

tff(decl_32,type,
    c_Set_Oinsert: $i > $i ).

tff(decl_33,type,
    hAPP: ( $i * $i ) > $i ).

tff(decl_34,type,
    c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).

tff(decl_35,type,
    c_Complete__Lattice_Ocomplete__lattice__class_OSUPR: ( $i * $i * $i * $i ) > $i ).

tff(decl_36,type,
    class_Complete__Lattice_Ocomplete__lattice: $i > $o ).

tff(decl_37,type,
    c_Finite__Set_Ofold1Set: ( $i * $i * $i ) > $i ).

tff(decl_38,type,
    c_The: ( $i * $i ) > $i ).

tff(decl_39,type,
    c_Set_Oimage: ( $i * $i * $i ) > $i ).

tff(decl_40,type,
    c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).

tff(decl_41,type,
    c_COMBK: ( $i * $i * $i ) > $i ).

tff(decl_42,type,
    class_Lattices_Olattice: $i > $o ).

tff(decl_43,type,
    t_a: $i ).

tff(decl_44,type,
    c_Lattices_Oupper__semilattice__class_Osup: $i > $i ).

tff(decl_45,type,
    v_x: $i ).

tff(decl_46,type,
    class_Lattices_Odistrib__lattice: $i > $o ).

tff(decl_47,type,
    c_Collect: ( $i * $i ) > $i ).

tff(decl_48,type,
    c_Orderings_Oorder: ( $i * $i * $i ) > $o ).

tff(decl_49,type,
    class_Lattices_Oupper__semilattice: $i > $o ).

tff(decl_50,type,
    c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_51,type,
    c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1: ( $i * $i ) > $i ).

tff(decl_52,type,
    c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2: ( $i * $i ) > $i ).

tff(decl_53,type,
    class_OrderedGroup_Oab__group__add: $i > $o ).

tff(decl_54,type,
    class_Orderings_Olinorder: $i > $o ).

tff(decl_55,type,
    c_Finite__Set_Olinorder__class_OMax: ( $i * $i ) > $i ).

tff(decl_56,type,
    c_Orderings_Olinorder: ( $i * $i * $i ) > $o ).

tff(decl_57,type,
    c_SetInterval_Oord__class_OlessThan: ( $i * $i ) > $i ).

tff(decl_58,type,
    c_SetInterval_Oord_OatLeastAtMost: ( $i * $i * $i * $i ) > $i ).

tff(decl_59,type,
    c_Set_Ovimage: ( $i * $i * $i ) > $i ).

tff(decl_60,type,
    c_Complete__Lattice_OInf__class_OInf: ( $i * $i ) > $i ).

tff(decl_61,type,
    c_OrderedGroup_Oab__semigroup__mult: ( $i * $i ) > $o ).

tff(decl_62,type,
    c_Finite__Set_Ofun__left__comm__idem: ( $i * $i * $i ) > $o ).

tff(decl_63,type,
    c_Com_Ocom_OSemi: ( $i * $i ) > $i ).

tff(decl_64,type,
    c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).

tff(decl_65,type,
    class_Orderings_Oorder: $i > $o ).

tff(decl_66,type,
    c_SetInterval_Oord__class_OatLeastAtMost: ( $i * $i * $i ) > $i ).

tff(decl_67,type,
    c_Finite__Set_Olinorder__class_OMin: ( $i * $i ) > $i ).

tff(decl_68,type,
    c_Hoare__Mirabelle_Otriple_Otriple: ( $i * $i * $i * $i ) > $i ).

tff(decl_69,type,
    class_HOL_Ominus: $i > $o ).

tff(decl_70,type,
    c_Complete__Lattice_Ocomplete__lattice: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).

tff(decl_71,type,
    class_Finite__Set_Ofinite_Ofinite: $i > $o ).

tff(decl_72,type,
    class_HOL_Oord: $i > $o ).

tff(decl_73,type,
    class_Lattices_Obounded__lattice: $i > $o ).

tff(decl_74,type,
    class_Orderings_Obot: $i > $o ).

tff(decl_75,type,
    c_Nitpick_Osko__Nitpick__XEx1__def__1__2: ( $i * $i ) > $i ).

tff(decl_76,type,
    c_Nitpick_Osko__Nitpick__XEx1__def__1__1: ( $i * $i * $i ) > $i ).

tff(decl_77,type,
    c_Com_Ocom_OSKIP: $i ).

tff(decl_78,type,
    class_Orderings_Opreorder: $i > $o ).

tff(decl_79,type,
    c_fequal: ( $i * $i ) > $i ).

tff(decl_80,type,
    class_OrderedGroup_Opordered__ab__group__add: $i > $o ).

tff(decl_81,type,
    c_Hoare__Mirabelle_Ohoare__derivs: ( $i * $i * $i ) > $o ).

tff(decl_82,type,
    tc_Hoare__Mirabelle_Otriple: $i > $i ).

tff(decl_83,type,
    v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_84,type,
    v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2: ( $i * $i * $i * $i ) > $i ).

tff(decl_85,type,
    v_sko__Hoare__Mirabelle__Xconseq12__3: ( $i * $i * $i * $i ) > $i ).

tff(decl_86,type,
    v_sko__Hoare__Mirabelle__Xconseq12__2: ( $i * $i * $i * $i ) > $i ).

tff(decl_87,type,
    v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_88,type,
    v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2: ( $i * $i * $i * $i ) > $i ).

tff(decl_89,type,
    v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1: ( $i * $i * $i * $i ) > $i ).

tff(decl_90,type,
    v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1: ( $i * $i * $i * $i ) > $i ).

tff(decl_91,type,
    v_sko__Hoare__Mirabelle__Xconseq2__1: ( $i * $i ) > $i ).

tff(decl_92,type,
    v_sko__Hoare__Mirabelle__Xconseq2__2: ( $i * $i ) > $i ).

tff(decl_93,type,
    v_sko__Hoare__Mirabelle__Xconseq12__1: ( $i * $i * $i * $i ) > $i ).

tff(decl_94,type,
    v_sko__Hoare__Mirabelle__Xconseq1__1: ( $i * $i ) > $i ).

tff(decl_95,type,
    v_sko__Hoare__Mirabelle__Xconseq1__2: ( $i * $i ) > $i ).

tff(decl_96,type,
    v_sko__Hoare__Mirabelle__Xescape__1: ( $i * $i * $i * $i ) > $i ).

tff(decl_97,type,
    v_sko__Hoare__Mirabelle__Xescape__2: ( $i * $i * $i * $i ) > $i ).

tff(decl_98,type,
    c_Nitpick_Osko__Nitpick__XEx1__def__1__3: ( $i * $i ) > $i ).

tff(decl_99,type,
    c_Set_Ocontents: ( $i * $i ) > $i ).

tff(decl_100,type,
    v_G: $i ).

tff(decl_101,type,
    v_t: $i ).

tff(decl_102,type,
    v_ts: $i ).

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_subset__insertI_0,axiom,
    c_lessequals(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),X1),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI_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(clsarity_bool__Orderings_Obot,axiom,
    class_Orderings_Obot(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

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

cnf(cls_comm__monoid__add_Ononempty__iff_0,axiom,
    ( X1 = hAPP(hAPP(c_Set_Oinsert(X2),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(X1,X2)),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(X1,X2))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Ononempty__iff_0) ).

cnf(cls_inf__bot__left_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Obot__class_Obot(X1)),X2) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__bot__left_0) ).

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(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_conjecture_1,negated_conjecture,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_insert__mono_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),X4),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__mono_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(c_0_13,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 ).

cnf(c_0_14,axiom,
    c_lessequals(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),X1),tc_fun(X2,tc_bool)),
    cls_subset__insertI_0 ).

cnf(c_0_15,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 ).

cnf(c_0_16,axiom,
    class_Orderings_Obot(tc_bool),
    clsarity_bool__Orderings_Obot ).

cnf(c_0_17,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X4),X2),X3) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),t_a),
    cls_conjecture_0 ).

cnf(c_0_19,axiom,
    hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X2)),
    cls_insert__code_1 ).

cnf(c_0_20,axiom,
    ( X1 = hAPP(hAPP(c_Set_Oinsert(X2),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(X1,X2)),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(X1,X2))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    cls_comm__monoid__add_Ononempty__iff_0 ).

cnf(c_0_21,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Obot__class_Obot(X1)),X2) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    cls_inf__bot__left_0 ).

cnf(c_0_22,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    clsarity_bool__Lattices_Obounded__lattice ).

cnf(c_0_23,axiom,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    cls_bot1E_0 ).

cnf(c_0_24,plain,
    hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_Orderings_Obot__class_Obot(tc_bool),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    cls_conjecture_1 ).

cnf(c_0_26,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_27,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(X1,X2))) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_28,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Obot__class_Obot(tc_bool)),X1) = c_Orderings_Obot__class_Obot(tc_bool),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_29,plain,
    ~ hBOOL(c_Orderings_Obot__class_Obot(tc_bool)),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_30,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).

cnf(c_0_31,plain,
    hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Obot__class_Obot(tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).

cnf(c_0_32,axiom,
    ( c_lessequals(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),X4),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    cls_insert__mono_0 ).

cnf(c_0_33,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Obot__class_Obot(tc_bool))),t_a),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_34,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),X3),X4),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),X3),X5),X2)
    | ~ c_lessequals(X4,X5,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)) ),
    inference(spm,[status(thm)],[c_0_13,c_0_32]) ).

cnf(c_0_35,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
    cls_empty__subsetI_0 ).

cnf(c_0_36,plain,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    inference(spm,[status(thm)],[c_0_31,c_0_31]) ).

cnf(c_0_37,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),t_a),
    inference(spm,[status(thm)],[c_0_33,c_0_31]) ).

cnf(c_0_38,negated_conjecture,
    ( c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),X1),t_a)
    | ~ c_lessequals(X1,v_ts,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_18]) ).

cnf(c_0_39,plain,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X3,tc_bool)),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : SWV841-1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.10  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.30  % Computer : n011.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Aug 29 06:56:26 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.15/0.56  start to proof: theBenchmark
% 0.49/1.23  % Version  : CSE_E---1.5
% 0.49/1.23  % Problem  : theBenchmark.p
% 0.49/1.23  % Proof found
% 0.49/1.23  % SZS status Theorem for theBenchmark.p
% 0.49/1.23  % SZS output start Proof
% See solution above
% 0.49/1.24  % Total time : 0.649000 s
% 0.49/1.24  % SZS output end Proof
% 0.49/1.24  % Total time : 0.665000 s
%------------------------------------------------------------------------------