TSTP Solution File: SWV906-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV906-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %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 : Tue Aug 22 11:05:55 EDT 2023
% Result : Unsatisfiable 25.92s 12.08s
% Output : CNFRefutation 25.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 95
% Syntax : Number of formulae : 116 ( 24 unt; 85 typ; 0 def)
% Number of atoms : 42 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 16 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 27 (; 27 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Complete__Lattice_Ocomplete__lattice > c_lessequals > c_Hoare__Mirabelle_Ohoare__valids > c_Hoare__Mirabelle_Ohoare__derivs > c_Finite__Set_Ofinite > hBOOL > class_Orderings_Otop > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_Orderings_Obot > class_OrderedGroup_Opordered__ab__group__add > class_OrderedGroup_Oab__group__add > class_Lattices_Oupper__semilattice > class_Lattices_Olattice > class_Lattices_Obounded__lattice > class_HOL_Oord > class_HOL_Ominus > class_Finite__Set_Ofinite_Ofinite > class_Complete__Lattice_Ocomplete__lattice > c_Com_OWT > c_COMBC > c_Fun_Ofun__upd > c_COMBB > v_sko__Hoare__Mirabelle__Xescape__2 > v_sko__Hoare__Mirabelle__Xescape__1 > c_Set_Oimage > c_Map_Osko__Map__Xdom__eq__singleton__conv__1__1 > c_Map_Orestrict__map > c_Hoare__Mirabelle_Otriple_Otriple > c_Complete__Lattice_Ocomplete__lattice__class_OSUPR > c_in > c_Set_Oinsert > c_SetInterval_Oord__class_OatLeastAtMost > c_Map_Odom > c_Lattices_Oupper__semilattice__class_Osup > c_HOL_Ominus__class_Ominus > c_Finite__Set_Ofold1Set > c_Finite__Set_Ofold1 > c_Com_Ocom_OLocal > c_Com_Ocom_OCond > c_Com_Ocom_OCall > c_COMBK > tc_fun > hAPP > c_The > c_Set_Ocontents > c_Option_Oset > c_Option_Ooption_OSome > c_Nitpick_Osko__Nitpick__XEx1__def__1__3 > c_Finite__Set_Olinorder__class_OMin > c_Finite__Set_Olinorder__class_OMax > c_Complete__Lattice_OSup__class_OSup > c_Complete__Lattice_OInf__class_OInf > c_Com_Ocom_OWhile > c_Com_Ocom_OSemi > c_Com_Ocom_OAss > c_Collect > #nlpp > v_sko__Hoare__Mirabelle__Xsingle__stateE__1 > v_sko__Hoare__Mirabelle__XMGF__lemma1__1 > tc_Option_Ooption > tc_Hoare__Mirabelle_Otriple > c_fequal > c_Orderings_Otop__class_Otop > c_Orderings_Obot__class_Obot > c_Option_Othe > c_Option_Ooption_ONone > c_Natural_Oevalc > c_Com_Osko__Com__XWTs__elim__cases__7__1 > v_y > v_x > v_pn > v_c > tc_nat > tc_bool > tc_Com_Ostate > tc_Com_Opname > tc_Com_Ocom > t_a > c_Hoare__Mirabelle_Ostate__not__singleton > c_Hoare__Mirabelle_OMGT > c_Com_Ocom_OSKIP > c_Com_Ocom_OBODY > c_Com_Obody > c_Com_OWT__bodies
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(tc_Com_Ostate,type,
tc_Com_Ostate: $i ).
tff(v_x,type,
v_x: $i ).
tff(c_Hoare__Mirabelle_OMGT,type,
c_Hoare__Mirabelle_OMGT: $i ).
tff(c_Set_Oinsert,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff(v_sko__Hoare__Mirabelle__Xescape__2,type,
v_sko__Hoare__Mirabelle__Xescape__2: ( $i * $i * $i * $i ) > $i ).
tff(c_COMBK,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(class_HOL_Ominus,type,
class_HOL_Ominus: $i > $o ).
tff(c_Option_Oset,type,
c_Option_Oset: ( $i * $i ) > $i ).
tff(c_Orderings_Otop__class_Otop,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(c_fequal,type,
c_fequal: $i > $i ).
tff(c_Finite__Set_Ofold1Set,type,
c_Finite__Set_Ofold1Set: ( $i * $i * $i ) > $i ).
tff(v_c,type,
v_c: $i ).
tff(c_Com_Ocom_OAss,type,
c_Com_Ocom_OAss: ( $i * $i ) > $i ).
tff(class_Lattices_Obounded__lattice,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(c_Finite__Set_Ofold1,type,
c_Finite__Set_Ofold1: ( $i * $i * $i ) > $i ).
tff(c_Option_Othe,type,
c_Option_Othe: $i > $i ).
tff(class_Lattices_Olattice,type,
class_Lattices_Olattice: $i > $o ).
tff(v_y,type,
v_y: $i ).
tff(c_Option_Ooption_OSome,type,
c_Option_Ooption_OSome: ( $i * $i ) > $i ).
tff(c_Finite__Set_Olinorder__class_OMin,type,
c_Finite__Set_Olinorder__class_OMin: ( $i * $i ) > $i ).
tff(c_Com_Ocom_OCond,type,
c_Com_Ocom_OCond: ( $i * $i * $i ) > $i ).
tff(c_Com_Ocom_OWhile,type,
c_Com_Ocom_OWhile: ( $i * $i ) > $i ).
tff(c_Finite__Set_Olinorder__class_OMax,type,
c_Finite__Set_Olinorder__class_OMax: ( $i * $i ) > $i ).
tff(t_a,type,
t_a: $i ).
tff(class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
tff(class_Orderings_Opreorder,type,
class_Orderings_Opreorder: $i > $o ).
tff(c_COMBB,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Complete__Lattice_OInf__class_OInf,type,
c_Complete__Lattice_OInf__class_OInf: ( $i * $i ) > $i ).
tff(c_Orderings_Obot__class_Obot,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(c_Lattices_Oupper__semilattice__class_Osup,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(tc_Option_Ooption,type,
tc_Option_Ooption: $i > $i ).
tff(v_pn,type,
v_pn: $i ).
tff(c_Com_Ocom_OCall,type,
c_Com_Ocom_OCall: ( $i * $i * $i ) > $i ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $i ).
tff(c_Hoare__Mirabelle_Otriple_Otriple,type,
c_Hoare__Mirabelle_Otriple_Otriple: ( $i * $i * $i * $i ) > $i ).
tff(c_Collect,type,
c_Collect: ( $i * $i ) > $i ).
tff(c_Com_Ocom_OLocal,type,
c_Com_Ocom_OLocal: ( $i * $i * $i ) > $i ).
tff(c_Map_Osko__Map__Xdom__eq__singleton__conv__1__1,type,
c_Map_Osko__Map__Xdom__eq__singleton__conv__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_Com_OWT__bodies,type,
c_Com_OWT__bodies: $o ).
tff(c_Com_Ocom_OSKIP,type,
c_Com_Ocom_OSKIP: $i ).
tff(c_Hoare__Mirabelle_Ostate__not__singleton,type,
c_Hoare__Mirabelle_Ostate__not__singleton: $o ).
tff(tc_Com_Ocom,type,
tc_Com_Ocom: $i ).
tff(class_Orderings_Otop,type,
class_Orderings_Otop: $i > $o ).
tff(v_sko__Hoare__Mirabelle__XMGF__lemma1__1,type,
v_sko__Hoare__Mirabelle__XMGF__lemma1__1: $i > $i ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR,type,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR: ( $i * $i * $i * $i ) > $i ).
tff(c_COMBC,type,
c_COMBC: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(tc_nat,type,
tc_nat: $i ).
tff(c_Map_Orestrict__map,type,
c_Map_Orestrict__map: ( $i * $i * $i * $i ) > $i ).
tff(tc_fun,type,
tc_fun: ( $i * $i ) > $i ).
tff(c_Hoare__Mirabelle_Ohoare__derivs,type,
c_Hoare__Mirabelle_Ohoare__derivs: ( $i * $i * $i ) > $o ).
tff(tc_bool,type,
tc_bool: $i ).
tff(c_Map_Odom,type,
c_Map_Odom: ( $i * $i * $i ) > $i ).
tff(c_Fun_Ofun__upd,type,
c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).
tff(tc_Com_Opname,type,
tc_Com_Opname: $i ).
tff(class_Lattices_Oupper__semilattice,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(class_HOL_Oord,type,
class_HOL_Oord: $i > $o ).
tff(c_Complete__Lattice_Ocomplete__lattice,type,
c_Complete__Lattice_Ocomplete__lattice: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(c_Complete__Lattice_OSup__class_OSup,type,
c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).
tff(c_Natural_Oevalc,type,
c_Natural_Oevalc: $i > $i ).
tff(c_Com_OWT,type,
c_Com_OWT: $i > $o ).
tff(class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(class_Finite__Set_Ofinite_Ofinite,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(v_sko__Hoare__Mirabelle__Xescape__1,type,
v_sko__Hoare__Mirabelle__Xescape__1: ( $i * $i * $i * $i ) > $i ).
tff(c_Finite__Set_Ofinite,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(c_Hoare__Mirabelle_Ohoare__valids,type,
c_Hoare__Mirabelle_Ohoare__valids: ( $i * $i * $i ) > $o ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(c_Nitpick_Osko__Nitpick__XEx1__def__1__3,type,
c_Nitpick_Osko__Nitpick__XEx1__def__1__3: ( $i * $i ) > $i ).
tff(v_sko__Hoare__Mirabelle__Xsingle__stateE__1,type,
v_sko__Hoare__Mirabelle__Xsingle__stateE__1: $i > $i ).
tff(c_Com_Ocom_OSemi,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $i ).
tff(c_HOL_Ominus__class_Ominus,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(c_Com_Osko__Com__XWTs__elim__cases__7__1,type,
c_Com_Osko__Com__XWTs__elim__cases__7__1: $i > $i ).
tff(class_Orderings_Obot,type,
class_Orderings_Obot: $i > $o ).
tff(class_OrderedGroup_Opordered__ab__group__add,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(c_Set_Oimage,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(tc_Hoare__Mirabelle_Otriple,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
tff(c_Com_Obody,type,
c_Com_Obody: $i ).
tff(c_The,type,
c_The: ( $i * $i ) > $i ).
tff(class_Complete__Lattice_Ocomplete__lattice,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(c_SetInterval_Oord__class_OatLeastAtMost,type,
c_SetInterval_Oord__class_OatLeastAtMost: ( $i * $i * $i ) > $i ).
tff(c_Set_Ocontents,type,
c_Set_Ocontents: ( $i * $i ) > $i ).
tff(c_Option_Ooption_ONone,type,
c_Option_Ooption_ONone: $i > $i ).
tff(c_Com_Ocom_OBODY,type,
c_Com_Ocom_OBODY: $i ).
tff(f_1240,axiom,
! [T_a,V_a_H] : ( c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_a_H,T_a) ),
file(unknown,unknown) ).
tff(f_2171,axiom,
! [V_pn] :
( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_pn))
| ( hAPP(c_Com_Obody,V_pn) = c_Option_Ooption_ONone(tc_Com_Ocom) ) ),
file(unknown,unknown) ).
tff(f_2167,axiom,
! [V_x,T_a] : ( c_Option_Oset(c_Option_Ooption_OSome(V_x,T_a),T_a) = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ),
file(unknown,unknown) ).
tff(f_2018,axiom,
! [T_a,V_a] : ( c_Collect(hAPP(c_fequal(T_a),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ),
file(unknown,unknown) ).
tff(f_595,axiom,
! [V_P,T_a] : ( c_Collect(V_P,T_a) = V_P ),
file(unknown,unknown) ).
tff(f_2363,axiom,
c_Com_OWT__bodies,
file(unknown,unknown) ).
tff(f_2362,axiom,
c_Hoare__Mirabelle_Ostate__not__singleton,
file(unknown,unknown) ).
tff(f_2267,axiom,
! [V_c] :
( 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,V_c),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(V_c)
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file(unknown,unknown) ).
tff(f_2368,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,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(unknown,unknown) ).
tff(f_2365,axiom,
hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(v_y,tc_Com_Ocom),
file(unknown,unknown) ).
tff(c_508,plain,
! [V_a_H_1025,T_a_1024] : ( c_Option_Ooption_OSome(V_a_H_1025,T_a_1024) != c_Option_Ooption_ONone(T_a_1024) ),
inference(cnfTransformation,[status(thm)],[f_1240]) ).
tff(c_872,plain,
! [V_pn_1659] :
( ( hAPP(c_Com_Obody,V_pn_1659) = c_Option_Ooption_ONone(tc_Com_Ocom) )
| c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_pn_1659)) ),
inference(cnfTransformation,[status(thm)],[f_2171]) ).
tff(c_870,plain,
! [V_x_1657,T_a_1658] : ( c_Set_Oinsert(V_x_1657,c_Orderings_Obot__class_Obot(tc_fun(T_a_1658,tc_bool)),T_a_1658) = c_Option_Oset(c_Option_Ooption_OSome(V_x_1657,T_a_1658),T_a_1658) ),
inference(cnfTransformation,[status(thm)],[f_2167]) ).
tff(c_796,plain,
! [V_a_1518,T_a_1517] : ( c_Set_Oinsert(V_a_1518,c_Orderings_Obot__class_Obot(tc_fun(T_a_1517,tc_bool)),T_a_1517) = c_Collect(hAPP(c_fequal(T_a_1517),V_a_1518),T_a_1517) ),
inference(cnfTransformation,[status(thm)],[f_2018]) ).
tff(c_5274,plain,
! [T_a_2421,V_a_2422] : ( c_Collect(hAPP(c_fequal(T_a_2421),V_a_2422),T_a_2421) = c_Option_Oset(c_Option_Ooption_OSome(V_a_2422,T_a_2421),T_a_2421) ),
inference(demodulation,[status(thm),theory(equality)],[c_870,c_796]) ).
tff(c_230,plain,
! [V_P_482,T_a_483] : ( c_Collect(V_P_482,T_a_483) = V_P_482 ),
inference(cnfTransformation,[status(thm)],[f_595]) ).
tff(c_5280,plain,
! [T_a_2421,V_a_2422] : ( hAPP(c_fequal(T_a_2421),V_a_2422) = c_Option_Oset(c_Option_Ooption_OSome(V_a_2422,T_a_2421),T_a_2421) ),
inference(superposition,[status(thm),theory(equality)],[c_5274,c_230]) ).
tff(c_950,plain,
c_Com_OWT__bodies,
inference(cnfTransformation,[status(thm)],[f_2363]) ).
tff(c_948,plain,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(cnfTransformation,[status(thm)],[f_2362]) ).
tff(c_902,plain,
! [V_c_1703] :
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ c_Com_OWT(V_c_1703)
| 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,V_c_1703),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) ),
inference(cnfTransformation,[status(thm)],[f_2267]) ).
tff(c_1033,plain,
! [V_c_1703] :
( ~ c_Com_OWT(V_c_1703)
| 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,V_c_1703),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) ),
inference(demodulation,[status(thm),theory(equality)],[c_950,c_948,c_902]) ).
tff(c_1048,plain,
! [V_c_1703] :
( ~ c_Com_OWT(V_c_1703)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Option_Oset(c_Option_Ooption_OSome(hAPP(c_Hoare__Mirabelle_OMGT,V_c_1703),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(demodulation,[status(thm),theory(equality)],[c_870,c_1033]) ).
tff(c_59654,plain,
! [V_c_1703] :
( ~ c_Com_OWT(V_c_1703)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,V_c_1703)),tc_Com_Ostate) ),
inference(demodulation,[status(thm),theory(equality)],[c_5280,c_1048]) ).
tff(c_958,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,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),
inference(cnfTransformation,[status(thm)],[f_2368]) ).
tff(c_1043,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Option_Oset(c_Option_Ooption_OSome(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(demodulation,[status(thm),theory(equality)],[c_870,c_958]) ).
tff(c_60567,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn))),tc_Com_Ostate),
inference(demodulation,[status(thm),theory(equality)],[c_5280,c_1043]) ).
tff(c_60574,plain,
~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,v_pn)),
inference(resolution,[status(thm)],[c_59654,c_60567]) ).
tff(c_60581,plain,
hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_ONone(tc_Com_Ocom),
inference(resolution,[status(thm)],[c_872,c_60574]) ).
tff(c_954,plain,
hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(v_y,tc_Com_Ocom),
inference(cnfTransformation,[status(thm)],[f_2365]) ).
tff(c_60583,plain,
c_Option_Ooption_OSome(v_y,tc_Com_Ocom) = c_Option_Ooption_ONone(tc_Com_Ocom),
inference(demodulation,[status(thm),theory(equality)],[c_60581,c_954]) ).
tff(c_60585,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_508,c_60583]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWV906-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 23:16:49 EDT 2023
% 0.14/0.36 % CPUTime :
% 25.92/12.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.92/12.09
% 25.92/12.09 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 25.92/12.13
% 25.92/12.13 Inference rules
% 25.92/12.13 ----------------------
% 25.92/12.13 #Ref : 31
% 25.92/12.13 #Sup : 12788
% 25.92/12.13 #Fact : 10
% 25.92/12.13 #Define : 0
% 25.92/12.13 #Split : 7
% 25.92/12.13 #Chain : 0
% 25.92/12.13 #Close : 0
% 25.92/12.13
% 25.92/12.13 Ordering : KBO
% 25.92/12.13
% 25.92/12.13 Simplification rules
% 25.92/12.13 ----------------------
% 25.92/12.13 #Subsume : 3256
% 25.92/12.13 #Demod : 10114
% 25.92/12.13 #Tautology : 4848
% 25.92/12.13 #SimpNegUnit : 76
% 25.92/12.13 #BackRed : 8
% 25.92/12.13
% 25.92/12.13 #Partial instantiations: 0
% 25.92/12.13 #Strategies tried : 1
% 25.92/12.13
% 25.92/12.13 Timing (in seconds)
% 25.92/12.13 ----------------------
% 25.92/12.14 Preprocessing : 1.33
% 25.92/12.14 Parsing : 0.72
% 25.92/12.14 CNF conversion : 0.12
% 25.92/12.14 Main loop : 9.72
% 25.92/12.14 Inferencing : 1.72
% 25.92/12.14 Reduction : 5.08
% 25.92/12.14 Demodulation : 4.08
% 25.92/12.14 BG Simplification : 0.21
% 25.92/12.14 Subsumption : 2.28
% 25.92/12.14 Abstraction : 0.21
% 25.92/12.14 MUC search : 0.00
% 25.92/12.14 Cooper : 0.00
% 25.92/12.14 Total : 11.12
% 25.92/12.14 Index Insertion : 0.00
% 25.92/12.14 Index Deletion : 0.00
% 25.92/12.14 Index Matching : 0.00
% 25.92/12.14 BG Taut test : 0.00
%------------------------------------------------------------------------------