TSTP Solution File: SWV854-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV854-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n019.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 21:48:24 EDT 2023
% Result : Unsatisfiable 0.19s 0.73s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 107
% Syntax : Number of formulae : 117 ( 8 unt; 101 typ; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 217 ( 85 >; 132 *; 0 +; 0 <<)
% Number of predicates : 39 ( 38 usr; 1 prp; 0-6 aty)
% Number of functors : 63 ( 63 usr; 16 con; 0-10 aty)
% Number of variables : 25 ( 5 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Com_Ocom_OWhile: ( $i * $i ) > $i ).
tff(decl_23,type,
c_Com_Ocom_OSKIP: $i ).
tff(decl_24,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_25,type,
c_Orderings_Oord__class_Omax: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_28,type,
c_Orderings_Oord__class_Omin: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
tc_nat: $i ).
tff(decl_31,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_32,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
c_Com_Ocom_OLocal: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
c_Natural_Oevalc: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_36,type,
hBOOL: $i > $o ).
tff(decl_37,type,
c_Suc: $i ).
tff(decl_38,type,
c_HOL_Oplus__class_Oplus: $i > $i ).
tff(decl_39,type,
class_Orderings_Obot: $i > $o ).
tff(decl_40,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_41,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $i ).
tff(decl_42,type,
c_Com_Ocom_OCond: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
tc_bool: $i ).
tff(decl_45,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_46,type,
c_COMBI: $i > $i ).
tff(decl_47,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(decl_48,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_49,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_50,type,
t_a: $i ).
tff(decl_51,type,
v_x: $i ).
tff(decl_52,type,
c_Com_Ocom_Ocom__rec: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_53,type,
c_Com_Ocom_OCall: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_55,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
c_Com_Ocom_OAss: ( $i * $i ) > $i ).
tff(decl_57,type,
c_Nat_Onat_Onat__case: ( $i * $i * $i * $i ) > $i ).
tff(decl_58,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_59,type,
c_Natural_Oevaln: ( $i * $i * $i * $i ) > $o ).
tff(decl_60,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_61,type,
c_in: ( $i * $i * $i ) > $i ).
tff(decl_62,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_63,type,
c_Power_Opower_Opower: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_65,type,
c_Fun_Oid: $i > $i ).
tff(decl_66,type,
c_Fun_Ocomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_68,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_69,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_70,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_71,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_72,type,
c_Com_Ocom_Ocom__case: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_73,type,
class_Divides_Oring__div: $i > $o ).
tff(decl_74,type,
c_COMBB: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_75,type,
c_COMBC: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_76,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
c_COMBS: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_78,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_79,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_80,type,
c_Groebner__Basis_Ogb__semiring: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_81,type,
c_Option_Ooption_OSome: ( $i * $i ) > $i ).
tff(decl_82,type,
c_Option_Ooption_ONone: $i > $i ).
tff(decl_83,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_84,type,
c_Com_OWT: $i > $o ).
tff(decl_85,type,
c_Hoare__Mirabelle_Otriple_Otriple: ( $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
tff(decl_87,type,
c_Hoare__Mirabelle_Ohoare__derivs: ( $i * $i * $i ) > $o ).
tff(decl_88,type,
c_Com_Ocom_OBODY: $i > $i ).
tff(decl_89,type,
c_Orderings_Oorder__class_Omono: ( $i * $i * $i ) > $o ).
tff(decl_90,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_91,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_92,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_93,type,
c_Nat_Onat_Onat__rec: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
c_Fun_Ofcomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_96,type,
c_Hoare__Mirabelle_Otriple__valid: ( $i * $i * $i ) > $o ).
tff(decl_97,type,
v_sko__Hoare__Mirabelle__Xtriple__valid__def2__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
v_sko__Hoare__Mirabelle__Xtriple__valid__def2__3: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_100,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_101,type,
c_Nat_Osemiring__1__class_Oof__nat__aux: ( $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
c_Natural_Osko__Natural__Xevaln__elim__cases__6__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
t_b: $i ).
tff(decl_104,type,
c_Hoare__Mirabelle_Otriple_Otriple__case: ( $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
c_Hoare__Mirabelle_Otriple_Otriple__rec: ( $i * $i * $i * $i ) > $i ).
tff(decl_106,type,
v_P: $i ).
tff(decl_107,type,
v_sko__Hoare__Mirabelle__Xtriple__valid__def2__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_108,type,
c_Com_Obody: $i > $i ).
tff(decl_109,type,
tc_Com_Ocom: $i ).
tff(decl_110,type,
v_Q: $i ).
tff(decl_111,type,
v_R: $i ).
tff(decl_112,type,
t_c: $i ).
tff(decl_113,type,
v_sko__Hoare__Mirabelle__Xhoare__valids__def__1: ( $i * $i ) > $i ).
tff(decl_114,type,
c_Hoare__Mirabelle_Ohoare__valids: ( $i * $i * $i ) > $o ).
tff(decl_115,type,
v_sko__Hoare__Mirabelle__Xhoare__valids__def__2: ( $i * $i ) > $i ).
tff(decl_116,type,
c_Option_Othe: ( $i * $i ) > $i ).
tff(decl_117,type,
v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1: ( $i * $i ) > $i ).
tff(decl_118,type,
v_Procs: $i ).
tff(decl_119,type,
tc_Com_Opname: $i ).
tff(decl_120,type,
v_na: $i ).
tff(decl_121,type,
v_G: $i ).
tff(decl_122,type,
c_fequal: ( $i * $i * $i ) > $o ).
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_conjecture_0,negated_conjecture,
hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_conjecture_4,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,X1),c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),hAPP(v_Q,X1),t_a),t_a)
| ~ hBOOL(c_in(X1,v_Procs,tc_Com_Opname)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_Body__triple__valid__Suc_0,axiom,
( c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,X1),c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Com_Ocom_OBODY(X3),X4,X5),X5)
| ~ c_Hoare__Mirabelle_Otriple__valid(X1,c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Option_Othe(c_Com_Obody(X3),tc_Com_Ocom),X4,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Body__triple__valid__Suc_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_6,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
cls_mem__def_0 ).
cnf(c_0_7,negated_conjecture,
hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)),
cls_conjecture_0 ).
cnf(c_0_8,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_9,negated_conjecture,
hBOOL(hAPP(v_Procs,v_x)),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,X1),c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),hAPP(v_Q,X1),t_a),t_a)
| ~ hBOOL(c_in(X1,v_Procs,tc_Com_Opname)) ),
cls_conjecture_4 ).
cnf(c_0_11,negated_conjecture,
hBOOL(c_in(v_x,v_Procs,X1)),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,axiom,
( c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,X1),c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Com_Ocom_OBODY(X3),X4,X5),X5)
| ~ c_Hoare__Mirabelle_Otriple__valid(X1,c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Option_Othe(c_Com_Obody(X3),tc_Com_Ocom),X4,X5),X5) ),
cls_Body__triple__valid__Suc_0 ).
cnf(c_0_13,negated_conjecture,
c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Option_Othe(c_Com_Obody(v_x),tc_Com_Ocom),hAPP(v_Q,v_x),t_a),t_a),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a),
cls_conjecture_1 ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV854-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 10:35:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.19/0.73 % Version : CSE_E---1.5
% 0.19/0.73 % Problem : theBenchmark.p
% 0.19/0.73 % Proof found
% 0.19/0.73 % SZS status Theorem for theBenchmark.p
% 0.19/0.73 % SZS output start Proof
% See solution above
% 0.19/0.74 % Total time : 0.159000 s
% 0.19/0.74 % SZS output end Proof
% 0.19/0.74 % Total time : 0.179000 s
%------------------------------------------------------------------------------