TSTP Solution File: SWV907-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV907-1 : 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 : n025.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 0.64s 0.75s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 88
% Syntax : Number of formulae : 104 ( 17 unt; 79 typ; 0 def)
% Number of atoms : 41 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 16 |; 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 : 158 ( 62 >; 96 *; 0 +; 0 <<)
% Number of predicates : 24 ( 22 usr; 3 prp; 0-4 aty)
% Number of functors : 57 ( 57 usr; 15 con; 0-10 aty)
% Number of variables : 31 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $i ).
tff(decl_23,type,
c_Com_Ocom_OWhile: ( $i * $i ) > $i ).
tff(decl_24,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(decl_25,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).
tff(decl_27,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_29,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_30,type,
tc_bool: $i ).
tff(decl_31,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_32,type,
c_Com_Ocom_OCond: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
c_Natural_Oevalc: $i > $i ).
tff(decl_34,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_35,type,
hBOOL: $i > $o ).
tff(decl_36,type,
c_Com_Ocom_OLocal: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
c_Com_Ocom_OSKIP: $i ).
tff(decl_38,type,
c_Option_Ooption_OSome: $i > $i ).
tff(decl_39,type,
tc_Option_Ooption: $i > $i ).
tff(decl_40,type,
c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_41,type,
c_Map_Omap__add: ( $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
c_Map_Odom: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
c_in: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
c_Com_Ocom_Ocom__rec: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
c_Com_Ocom_OCall: ( $i * $i * $i ) > $i ).
tff(decl_46,type,
c_Com_Ocom_OAss: ( $i * $i ) > $i ).
tff(decl_47,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_48,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(decl_49,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(decl_52,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_54,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_55,type,
t_a: $i ).
tff(decl_56,type,
v_x: $i ).
tff(decl_57,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_58,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_59,type,
c_Com_Ocom_Ocom__case: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
c_Option_Ooption_ONone: $i > $i ).
tff(decl_61,type,
t_b: $i ).
tff(decl_62,type,
c_Option_Ooption_Ooption__case: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_63,type,
c_Option_Ooption_Ooption__rec: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_65,type,
c_Map_Omap__comp: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_66,type,
c_Option_Omap: ( $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
c_Hoare__Mirabelle_Otriple_Otriple: ( $i * $i * $i * $i ) > $i ).
tff(decl_68,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
tff(decl_69,type,
c_Hoare__Mirabelle_Ohoare__derivs: ( $i * $i * $i ) > $o ).
tff(decl_70,type,
class_Orderings_Otop: $i > $o ).
tff(decl_71,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_72,type,
c_Option_Ois__none: ( $i * $i ) > $i ).
tff(decl_73,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(decl_74,type,
c_Hoare__Mirabelle_OMGT: $i ).
tff(decl_75,type,
tc_Com_Ostate: $i ).
tff(decl_76,type,
c_fequal: $i > $i ).
tff(decl_77,type,
class_HOL_Oord: $i > $o ).
tff(decl_78,type,
class_Orderings_Obot: $i > $o ).
tff(decl_79,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_81,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_82,type,
c_Option_Othe: $i > $i ).
tff(decl_83,type,
c_ATP__Linkup_Osko__Option__Xospec__1__1: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
c_Com_Ocom_OBODY: $i ).
tff(decl_85,type,
c_Hoare__Mirabelle_Ohoare__valids: ( $i * $i * $i ) > $o ).
tff(decl_86,type,
c_Map_Osko__Map__XdomD__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
tc_Com_Ocom: $i ).
tff(decl_88,type,
c_Com_Obody: $i ).
tff(decl_89,type,
c_Com_OWT: $i > $o ).
tff(decl_90,type,
v_c: $i ).
tff(decl_91,type,
v_sko__Hoare__Mirabelle__Xsingle__stateE__1: $i > $i ).
tff(decl_92,type,
c_Hoare__Mirabelle_Ostate__not__singleton: $o ).
tff(decl_93,type,
tc_Com_Opname: $i ).
tff(decl_94,type,
v_sko__Hoare__Mirabelle__XMGF__lemma1__1: $i > $i ).
tff(decl_95,type,
c_Com_OWT__bodies: $o ).
tff(decl_96,type,
c_Com_Osko__Com__XWTs__elim__cases__7__1: $i > $i ).
tff(decl_97,type,
v_pn: $i ).
tff(decl_98,type,
v_y: $i ).
tff(decl_99,type,
tc_nat: $i ).
tff(decl_100,type,
c_COMBC: ( $i * $i * $i * $i * $i * $i ) > $i ).
cnf(cls_MGF__lemma2__simult_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X1,tc_Com_Ostate)
| ~ c_lessequals(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,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_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MGF__lemma2__simult_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_MGT__Body_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(X2,tc_Com_Opname)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,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_COMBB(c_Hoare__Mirabelle_OMGT,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_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MGT__Body_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/sandbox/benchmark/theBenchmark.p',cls_image__image_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/sandbox/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
cnf(cls_equalityE_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityE_0) ).
cnf(cls_conjecture_4,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_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_finite__dom__body_0,axiom,
c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__dom__body_0) ).
cnf(c_0_9,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X1,tc_Com_Ostate)
| ~ c_lessequals(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,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_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
cls_MGF__lemma2__simult_0 ).
cnf(c_0_10,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
cls_conjecture_0 ).
cnf(c_0_11,negated_conjecture,
c_Com_OWT__bodies,
cls_conjecture_1 ).
cnf(c_0_12,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(X2,tc_Com_Opname)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,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_COMBB(c_Hoare__Mirabelle_OMGT,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_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
cls_MGT__Body_0 ).
cnf(c_0_13,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 ).
cnf(c_0_14,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X1,tc_Com_Ostate)
| ~ c_lessequals(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,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_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_15,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X2,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X2,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,X2,tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(X2,tc_Com_Opname) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_13]),c_0_13]),c_0_13]) ).
cnf(c_0_16,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 ).
cnf(c_0_17,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X1,tc_Com_Ostate)
| ~ c_lessequals(X1,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_13]),c_0_13]),c_0_13]) ).
cnf(c_0_18,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_equalityE_0 ).
cnf(c_0_19,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_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
cls_conjecture_4 ).
cnf(c_0_20,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X1,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X1,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,X1,tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(X1,tc_Com_Opname) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,axiom,
c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
cls_finite__dom__body_0 ).
cnf(c_0_23,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_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(rw,[status(thm)],[c_0_19,c_0_13]) ).
cnf(c_0_24,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV907-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 06:15:25 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.64/0.75 % Version : CSE_E---1.5
% 0.64/0.75 % Problem : theBenchmark.p
% 0.64/0.75 % Proof found
% 0.64/0.75 % SZS status Theorem for theBenchmark.p
% 0.64/0.75 % SZS output start Proof
% See solution above
% 0.64/0.76 % Total time : 0.184000 s
% 0.64/0.76 % SZS output end Proof
% 0.64/0.76 % Total time : 0.200000 s
%------------------------------------------------------------------------------