TSTP Solution File: SWV840-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV840-1 : 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 0.68s 0.81s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 113
% Syntax : Number of formulae : 137 ( 28 unt; 101 typ; 0 def)
% Number of atoms : 48 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 17 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 219 ( 83 >; 136 *; 0 +; 0 <<)
% Number of predicates : 25 ( 23 usr; 1 prp; 0-9 aty)
% Number of functors : 78 ( 78 usr; 18 con; 0-10 aty)
% Number of variables : 70 ( 8 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_23,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_24,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_25,type,
c_Com_Ocom_OCall: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
c_Com_OWT: $i > $o ).
tff(decl_27,type,
c_Com_Ocom_OBODY: $i ).
tff(decl_28,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_29,type,
tc_bool: $i ).
tff(decl_30,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_31,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_32,type,
c_COMBC: ( $i * $i * $i * $i ) > $i ).
tff(decl_33,type,
c_Complete__Lattice_Ocomplete__lattice: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_34,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
c_Com_Ocom_OSKIP: $i ).
tff(decl_36,type,
c_Com_Ocom_OCond: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_38,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_39,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_40,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_41,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_42,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_44,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
c_Collect: ( $i * $i ) > $i ).
tff(decl_46,type,
c_in: ( $i * $i * $i ) > $i ).
tff(decl_47,type,
hBOOL: $i > $o ).
tff(decl_48,type,
c_Com_Ocom_OLocal: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR: ( $i * $i * $i * $i ) > $i ).
tff(decl_51,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(decl_52,type,
c_Com_Ocom_OWhile: ( $i * $i ) > $i ).
tff(decl_53,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $i ).
tff(decl_54,type,
c_Natural_Oevalc: ( $i * $i * $i ) > $o ).
tff(decl_55,type,
c_Natural_Oevaln: ( $i * $i * $i * $i ) > $o ).
tff(decl_56,type,
c_Option_Ooption_ONone: $i > $i ).
tff(decl_57,type,
c_Option_Ooption_OSome: ( $i * $i ) > $i ).
tff(decl_58,type,
c_COMBS: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_59,type,
c_COMBI: $i > $i ).
tff(decl_60,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
c_Com_Ocom_Ocom__case: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_62,type,
t_a: $i ).
tff(decl_63,type,
v_x: $i ).
tff(decl_64,type,
c_Finite__Set_Ofold1: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
c_Finite__Set_Ofold1Set: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
c_The: ( $i * $i ) > $i ).
tff(decl_67,type,
tc_nat: $i ).
tff(decl_68,type,
c_Suc: $i > $i ).
tff(decl_69,type,
c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).
tff(decl_70,type,
c_Hoare__Mirabelle_Otriple__valid: ( $i * $i * $i ) > $o ).
tff(decl_71,type,
c_Fun_Ocomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_72,type,
c_fequal: $i > $i ).
tff(decl_73,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_74,type,
c_SetInterval_Oord__class_OatLeastAtMost: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
class_HOL_Ominus: $i > $o ).
tff(decl_76,type,
c_Natural_Osko__Natural__Xevaln__elim__cases__6__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_77,type,
class_HOL_Oord: $i > $o ).
tff(decl_78,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_79,type,
class_Orderings_Obot: $i > $o ).
tff(decl_80,type,
c_Hoare__Mirabelle_Otriple_Otriple: $i > $i ).
tff(decl_81,type,
tc_Com_Ostate: $i ).
tff(decl_82,type,
tc_Com_Ocom: $i ).
tff(decl_83,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
tff(decl_84,type,
tc_Com_Opname: $i ).
tff(decl_85,type,
c_Hoare__Mirabelle_Ohoare__derivs: ( $i * $i * $i ) > $o ).
tff(decl_86,type,
c_Option_Othe: $i > $i ).
tff(decl_87,type,
c_Com_Obody: $i ).
tff(decl_88,type,
tc_Option_Ooption: $i > $i ).
tff(decl_89,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_90,type,
c_Complete__Lattice_OInf__class_OInf: ( $i * $i ) > $i ).
tff(decl_91,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_92,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_93,type,
t_b: $i ).
tff(decl_94,type,
c_Hoare__Mirabelle_Otriple_Otriple__case: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
c_Hoare__Mirabelle_Otriple_Otriple__rec: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
v_P: $i ).
tff(decl_97,type,
v_sko__Hoare__Mirabelle__Xescape__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
v_sko__Hoare__Mirabelle__Xescape__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
v_Q: $i ).
tff(decl_100,type,
t_c: $i ).
tff(decl_101,type,
v_R: $i ).
tff(decl_102,type,
c_Not: $i ).
tff(decl_103,type,
c_Hoare__Mirabelle_Opeek__and: ( $i * $i * $i ) > $i ).
tff(decl_104,type,
c_Nitpick_Osko__Nitpick__XEx1__def__1__3: ( $i * $i ) > $i ).
tff(decl_105,type,
c_Finite__Set_Olinorder__class_OMin: ( $i * $i ) > $i ).
tff(decl_106,type,
c_Set_Ocontents: ( $i * $i ) > $i ).
tff(decl_107,type,
c_Finite__Set_Olinorder__class_OMax: ( $i * $i ) > $i ).
tff(decl_108,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_109,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_110,type,
v_sko__Hoare__Mirabelle__Xconseq12__3: ( $i * $i * $i * $i ) > $i ).
tff(decl_111,type,
v_sko__Hoare__Mirabelle__Xconseq12__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_112,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_113,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_114,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_115,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_116,type,
v_sko__Hoare__Mirabelle__Xconseq2__1: ( $i * $i ) > $i ).
tff(decl_117,type,
v_sko__Hoare__Mirabelle__Xconseq2__2: ( $i * $i ) > $i ).
tff(decl_118,type,
v_sko__Hoare__Mirabelle__Xconseq12__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_119,type,
v_sko__Hoare__Mirabelle__Xconseq1__1: ( $i * $i ) > $i ).
tff(decl_120,type,
v_sko__Hoare__Mirabelle__Xconseq1__2: ( $i * $i ) > $i ).
tff(decl_121,type,
v_G: $i ).
tff(decl_122,type,
v_pn: $i ).
cnf(cls_insert__def_0,axiom,
c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X3),X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__def_0) ).
cnf(cls_Collect__def_0,axiom,
c_Collect(X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).
cnf(cls_singleton__conv2_0,axiom,
c_Collect(hAPP(c_fequal(X1),X2),X1) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_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_conjecture_1,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q),v_G,tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
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_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_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_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_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_equalityE_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityE_0) ).
cnf(c_0_12,axiom,
c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X3),X2,tc_fun(X3,tc_bool)),
cls_insert__def_0 ).
cnf(c_0_13,axiom,
c_Collect(X1,X2) = X1,
cls_Collect__def_0 ).
cnf(c_0_14,axiom,
c_Collect(hAPP(c_fequal(X1),X2),X1) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
cls_singleton__conv2_0 ).
cnf(c_0_15,plain,
c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
cls_conjecture_0 ).
cnf(c_0_17,plain,
hAPP(c_fequal(X1),X2) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_13]),c_0_15]) ).
cnf(c_0_18,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 ).
cnf(c_0_19,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q),v_G,tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
cls_conjecture_1 ).
cnf(c_0_20,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),
inference(rw,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_21,plain,
hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2) = hAPP(c_fequal(X1),X2),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_15]),c_0_15]) ).
cnf(c_0_23,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 ).
cnf(c_0_24,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 ).
cnf(c_0_25,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),t_a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_18]),c_0_21]) ).
cnf(c_0_26,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),t_a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_18]),c_0_21]),c_0_23]),c_0_21]) ).
cnf(c_0_27,negated_conjecture,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,v_G,t_a) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,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 ).
cnf(c_0_29,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 ).
cnf(c_0_30,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 ).
cnf(c_0_31,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_equalityE_0 ).
cnf(c_0_32,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G,t_a),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),X4,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,X1,X2),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV840-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 05:32:41 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.68/0.81 % Version : CSE_E---1.5
% 0.68/0.81 % Problem : theBenchmark.p
% 0.68/0.81 % Proof found
% 0.68/0.81 % SZS status Theorem for theBenchmark.p
% 0.68/0.81 % SZS output start Proof
% See solution above
% 0.68/0.82 % Total time : 0.202000 s
% 0.68/0.82 % SZS output end Proof
% 0.68/0.82 % Total time : 0.217000 s
%------------------------------------------------------------------------------