TSTP Solution File: SWV906-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV906-1 : 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 : n012.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 21:48:35 EDT 2023
% Result : Unsatisfiable 0.19s 0.72s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 92
% Syntax : Number of formulae : 104 ( 12 unt; 85 typ; 0 def)
% Number of atoms : 30 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 157 ( 69 >; 88 *; 0 +; 0 <<)
% Number of predicates : 25 ( 23 usr; 3 prp; 0-9 aty)
% Number of functors : 62 ( 62 usr; 14 con; 0-6 aty)
% Number of variables : 12 ( 3 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Option_Ooption_ONone: $i > $i ).
tff(decl_23,type,
tc_Option_Ooption: $i > $i ).
tff(decl_24,type,
t_a: $i ).
tff(decl_25,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
c_Map_Orestrict__map: ( $i * $i * $i * $i ) > $i ).
tff(decl_27,type,
v_x: $i ).
tff(decl_28,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_29,type,
c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_30,type,
c_in: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
hBOOL: $i > $o ).
tff(decl_32,type,
tc_bool: $i ).
tff(decl_33,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_34,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_35,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_38,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_39,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_40,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_41,type,
c_Com_Ocom_OSKIP: $i ).
tff(decl_42,type,
c_Com_Ocom_OCond: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
c_Com_Ocom_OAss: ( $i * $i ) > $i ).
tff(decl_44,type,
c_Com_Ocom_OCall: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
c_Option_Oset: ( $i * $i ) > $i ).
tff(decl_46,type,
c_Collect: ( $i * $i ) > $i ).
tff(decl_47,type,
c_Com_Ocom_OLocal: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(decl_49,type,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR: ( $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
c_Com_Ocom_OWhile: ( $i * $i ) > $i ).
tff(decl_51,type,
class_HOL_Ominus: $i > $o ).
tff(decl_52,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $i ).
tff(decl_53,type,
c_Complete__Lattice_Ocomplete__lattice: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_54,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(decl_55,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(decl_56,type,
c_Hoare__Mirabelle_OMGT: $i ).
tff(decl_57,type,
tc_Com_Ostate: $i ).
tff(decl_58,type,
c_fequal: $i > $i ).
tff(decl_59,type,
c_Natural_Oevalc: $i > $i ).
tff(decl_60,type,
c_Hoare__Mirabelle_Otriple_Otriple: ( $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_62,type,
c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).
tff(decl_63,type,
c_Map_Odom: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
c_Map_Osko__Map__Xdom__eq__singleton__conv__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_65,type,
c_Option_Ooption_OSome: ( $i * $i ) > $i ).
tff(decl_66,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_68,type,
c_Finite__Set_Olinorder__class_OMax: ( $i * $i ) > $i ).
tff(decl_69,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_70,type,
c_Finite__Set_Ofold1: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
c_Finite__Set_Ofold1Set: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
c_The: ( $i * $i ) > $i ).
tff(decl_73,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_74,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_75,type,
c_SetInterval_Oord__class_OatLeastAtMost: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
c_Complete__Lattice_OInf__class_OInf: ( $i * $i ) > $i ).
tff(decl_77,type,
class_Orderings_Otop: $i > $o ).
tff(decl_78,type,
class_HOL_Oord: $i > $o ).
tff(decl_79,type,
class_Orderings_Obot: $i > $o ).
tff(decl_80,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
c_Option_Othe: $i > $i ).
tff(decl_82,type,
c_Com_Ocom_OBODY: $i ).
tff(decl_83,type,
c_Hoare__Mirabelle_Ohoare__derivs: ( $i * $i * $i ) > $o ).
tff(decl_84,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
tff(decl_85,type,
c_Hoare__Mirabelle_Ohoare__valids: ( $i * $i * $i ) > $o ).
tff(decl_86,type,
c_Finite__Set_Olinorder__class_OMin: ( $i * $i ) > $i ).
tff(decl_87,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_88,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_89,type,
v_sko__Hoare__Mirabelle__Xescape__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
v_sko__Hoare__Mirabelle__Xescape__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
tc_Com_Ocom: $i ).
tff(decl_92,type,
c_Com_Obody: $i ).
tff(decl_93,type,
c_Com_OWT: $i > $o ).
tff(decl_94,type,
v_c: $i ).
tff(decl_95,type,
v_sko__Hoare__Mirabelle__Xsingle__stateE__1: $i > $i ).
tff(decl_96,type,
c_Hoare__Mirabelle_Ostate__not__singleton: $o ).
tff(decl_97,type,
c_Nitpick_Osko__Nitpick__XEx1__def__1__3: ( $i * $i ) > $i ).
tff(decl_98,type,
c_Set_Ocontents: ( $i * $i ) > $i ).
tff(decl_99,type,
tc_Com_Opname: $i ).
tff(decl_100,type,
c_Com_OWT__bodies: $o ).
tff(decl_101,type,
v_sko__Hoare__Mirabelle__XMGF__lemma1__1: $i > $i ).
tff(decl_102,type,
c_Com_Osko__Com__XWTs__elim__cases__7__1: $i > $i ).
tff(decl_103,type,
v_pn: $i ).
tff(decl_104,type,
v_y: $i ).
tff(decl_105,type,
tc_nat: $i ).
tff(decl_106,type,
c_COMBC: ( $i * $i * $i * $i * $i * $i ) > $i ).
cnf(cls_MGF_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(c_Hoare__Mirabelle_OMGT,X1),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_Com_OWT(X1)
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MGF_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_not__Some__eq_1,axiom,
c_Option_Ooption_ONone(X1) != c_Option_Ooption_OSome(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Some__eq_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_WT_OBody_0) ).
cnf(cls_conjecture_5,negated_conjecture,
~ 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(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn)),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/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_3,negated_conjecture,
hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(v_y,tc_Com_Ocom),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_0_7,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(c_Hoare__Mirabelle_OMGT,X1),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_Com_OWT(X1)
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
cls_MGF_0 ).
cnf(c_0_8,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
cls_conjecture_0 ).
cnf(c_0_9,negated_conjecture,
c_Com_OWT__bodies,
cls_conjecture_1 ).
cnf(c_0_10,axiom,
c_Option_Ooption_ONone(X1) != c_Option_Ooption_OSome(X2,X1),
cls_not__Some__eq_1 ).
cnf(c_0_11,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 ).
cnf(c_0_12,negated_conjecture,
~ 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(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn)),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_conjecture_5 ).
cnf(c_0_13,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(c_Hoare__Mirabelle_OMGT,X1),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_Com_OWT(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_14,plain,
( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1))
| hAPP(c_Com_Obody,X1) != c_Option_Ooption_OSome(X2,tc_Com_Ocom) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(v_y,tc_Com_Ocom),
cls_conjecture_3 ).
cnf(c_0_16,negated_conjecture,
~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,v_pn)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1))
| hAPP(c_Com_Obody,X1) != hAPP(c_Com_Obody,v_pn) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_16,c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV906-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 08:42:09 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 0.19/0.72 % Version : CSE_E---1.5
% 0.19/0.72 % Problem : theBenchmark.p
% 0.19/0.72 % Proof found
% 0.19/0.72 % SZS status Theorem for theBenchmark.p
% 0.19/0.72 % SZS output start Proof
% See solution above
% 0.19/0.72 % Total time : 0.133000 s
% 0.19/0.72 % SZS output end Proof
% 0.19/0.72 % Total time : 0.142000 s
%------------------------------------------------------------------------------