%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV905-1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n027.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 : Wed Apr 9 09:31:52 PM UTC 2025
% Result : Unsatisfiable 17.21s 5.40s
% Output : CNFRefutation 17.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 40 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 58 ( 15 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 24 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 29 ( 27 usr; 3 prp; 0-9 aty)
% Number of functors : 44 ( 44 usr; 9 con; 0-4 aty)
% Number of variables : 59 ( 59 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Complete__Lattice_Ocomplete__lattice > c_Finite__Set_Ofold__graph > c_Map_Omap__le > c_lessequals > c_Hoare__Mirabelle_Ohoare__valids > c_Hoare__Mirabelle_Ohoare__derivs > c_OrderedGroup_Oab__semigroup__mult > c_Finite__Set_Ofinite > hBOOL > 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_Olower__semilattice > class_Lattices_Olattice > class_Lattices_Odistrib__lattice > class_Lattices_Obounded__lattice > class_HOL_Oord > class_HOL_Ominus > class_Finite__Set_Ofinite_Ofinite > class_Complete__Lattice_Ocomplete__lattice > c_Com_OWT > c_Set_Ovimage > c_Set_Oimage > c_Map_Omap__add > 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_OCall > tc_fun > hAPP > c_fequal > c_The > c_Set_Ocontents > c_Option_Othe > 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_Collect > #nlpp > v_sko__Hoare__Mirabelle__XMGF__lemma1__1 > tc_Option_Ooption > tc_Hoare__Mirabelle_Otriple > c_Orderings_Obot__class_Obot > c_Option_Ooption_ONone > c_Lattices_Olower__semilattice__class_Oinf > c_Hoare__Mirabelle_OMGT > c_Com_Ocom_OBODY > v_x > v_c > tc_nat > tc_bool > tc_Com_Ostate > tc_Com_Opname > tc_Com_Ocom > t_a > c_Hoare__Mirabelle_Ostate__not__singleton > 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_Set_Oinsert,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff(class_HOL_Ominus,type,
class_HOL_Ominus: $i > $o ).
tff(c_Finite__Set_Ofold1Set,type,
c_Finite__Set_Ofold1Set: ( $i * $i * $i ) > $i ).
tff(v_c,type,
v_c: $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(class_Lattices_Olattice,type,
class_Lattices_Olattice: $i > $o ).
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_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_OrderedGroup_Oab__semigroup__mult,type,
c_OrderedGroup_Oab__semigroup__mult: ( $i * $i ) > $o ).
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(c_Set_Ovimage,type,
c_Set_Ovimage: ( $i * $i * $i * $i ) > $i ).
tff(tc_Option_Ooption,type,
tc_Option_Ooption: $i > $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_Lattices_Olower__semilattice__class_Oinf,type,
c_Lattices_Olower__semilattice__class_Oinf: $i > $i ).
tff(c_Collect,type,
c_Collect: ( $i * $i ) > $i ).
tff(c_Map_Omap__add,type,
c_Map_Omap__add: ( $i * $i * $i * $i ) > $i ).
tff(c_Com_OWT__bodies,type,
c_Com_OWT__bodies: $o ).
tff(c_Finite__Set_Ofold__graph,type,
c_Finite__Set_Ofold__graph: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(c_fequal,type,
c_fequal: ( $i * $i ) > $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(c_Option_Othe,type,
c_Option_Othe: ( $i * $i ) > $i ).
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(tc_nat,type,
tc_nat: $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_Com_Ocom_OBODY,type,
c_Com_Ocom_OBODY: $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_Com_OWT,type,
c_Com_OWT: $i > $o ).
tff(class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(c_Map_Omap__le,type,
c_Map_Omap__le: ( $i * $i * $i * $i ) > $o ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(class_Finite__Set_Ofinite_Ofinite,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(class_Lattices_Odistrib__lattice,type,
class_Lattices_Odistrib__lattice: $i > $o ).
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(class_Lattices_Olower__semilattice,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(c_HOL_Ominus__class_Ominus,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $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_Hoare__Mirabelle_OMGT,type,
c_Hoare__Mirabelle_OMGT: $i > $i ).
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(f_2437,axiom,
hBOOL(c_in(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)),
file(unknown,unknown) ).
tff(f_2433,axiom,
! [V_a,V_A,T_a] :
( ( c_Set_Oinsert(V_a,V_A,T_a) = V_A )
| ~ hBOOL(c_in(V_a,V_A,T_a)) ),
file(unknown,unknown) ).
tff(f_2265,axiom,
! [V_x,V_A,T_a] : hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)),
file(unknown,unknown) ).
tff(f_2381,axiom,
! [V_x,V_S,T_a] :
( hBOOL(c_in(V_x,V_S,T_a))
| ~ hBOOL(hAPP(V_S,V_x)) ),
file(unknown,unknown) ).
tff(f_2374,axiom,
! [V_x,V_B,T_a] : hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)),
file(unknown,unknown) ).
tff(f_2124,axiom,
! [V_m,V_a,T_b,T_a] :
( ( hAPP(V_m,V_a) != c_Option_Ooption_ONone(T_b) )
| ~ hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a)) ),
file(unknown,unknown) ).
tff(f_2204,axiom,
! [V_pn] :
( c_Com_OWT(c_Com_Ocom_OBODY(V_pn))
| ( hAPP(c_Com_Obody,V_pn) = c_Option_Ooption_ONone(tc_Com_Ocom) ) ),
file(unknown,unknown) ).
tff(f_596,axiom,
! [V_P,T_a] : ( c_Collect(V_P,T_a) = V_P ),
file(unknown,unknown) ).
tff(f_2024,axiom,
! [V_a,T_a] : ( c_Collect(c_fequal(V_a,T_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_2435,axiom,
c_Com_OWT__bodies,
file(unknown,unknown) ).
tff(f_2434,axiom,
c_Hoare__Mirabelle_Ostate__not__singleton,
file(unknown,unknown) ).
tff(f_2301,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(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_2439,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(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_x)),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(c_896,plain,
hBOOL(c_in(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)),
inference(cnfTransformation,[status(thm)],[f_2437]) ).
tff(c_1697,plain,
! [V_a_1949,V_A_1950,T_a_1951] :
( ~ hBOOL(c_in(V_a_1949,V_A_1950,T_a_1951))
| ( c_Set_Oinsert(V_a_1949,V_A_1950,T_a_1951) = V_A_1950 ) ),
inference(cnfTransformation,[status(thm)],[f_2433]) ).
tff(c_1708,plain,
c_Set_Oinsert(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname) = c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),
inference(resolution,[status(thm)],[c_896,c_1697]) ).
tff(c_816,plain,
! [V_x_1585,V_A_1586,T_a_1587] : hBOOL(hAPP(c_Set_Oinsert(V_x_1585,V_A_1586,T_a_1587),V_x_1585)),
inference(cnfTransformation,[status(thm)],[f_2265]) ).
tff(c_868,plain,
! [V_S_1663,V_x_1662,T_a_1664] :
( ~ hBOOL(hAPP(V_S_1663,V_x_1662))
| hBOOL(c_in(V_x_1662,V_S_1663,T_a_1664)) ),
inference(cnfTransformation,[status(thm)],[f_2381]) ).
tff(c_1757,plain,
! [V_x_1958,V_S_1959,T_a_1960] :
( ( c_Set_Oinsert(V_x_1958,V_S_1959,T_a_1960) = V_S_1959 )
| ~ hBOOL(hAPP(V_S_1959,V_x_1958)) ),
inference(resolution,[status(thm)],[c_868,c_1697]) ).
tff(c_4218,plain,
! [V_x_2098,V_A_2099,T_a_2100,T_a_2101] : ( c_Set_Oinsert(V_x_2098,c_Set_Oinsert(V_x_2098,V_A_2099,T_a_2100),T_a_2101) = c_Set_Oinsert(V_x_2098,V_A_2099,T_a_2100) ),
inference(resolution,[status(thm)],[c_816,c_1757]) ).
tff(c_864,plain,
! [V_x_1655,V_B_1656,T_a_1657] : hBOOL(c_in(V_x_1655,c_Set_Oinsert(V_x_1655,V_B_1656,T_a_1657),T_a_1657)),
inference(cnfTransformation,[status(thm)],[f_2374]) ).
tff(c_4270,plain,
! [V_x_2102,V_A_2103,T_a_2104,T_a_2105] : hBOOL(c_in(V_x_2102,c_Set_Oinsert(V_x_2102,V_A_2103,T_a_2104),T_a_2105)),
inference(superposition,[status(thm),theory(equality)],[c_4218,c_864]) ).
tff(c_4282,plain,
! [T_a_2105] : hBOOL(c_in(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),T_a_2105)),
inference(superposition,[status(thm),theory(equality)],[c_1708,c_4270]) ).
tff(c_17794,plain,
! [V_a_2376,V_m_2377,T_a_2378,T_b_2379] :
( ~ hBOOL(c_in(V_a_2376,c_Map_Odom(V_m_2377,T_a_2378,T_b_2379),T_a_2378))
| ( hAPP(V_m_2377,V_a_2376) != c_Option_Ooption_ONone(T_b_2379) ) ),
inference(cnfTransformation,[status(thm)],[f_2124]) ).
tff(c_17807,plain,
hAPP(c_Com_Obody,v_x) != c_Option_Ooption_ONone(tc_Com_Ocom),
inference(resolution,[status(thm)],[c_4282,c_17794]) ).
tff(c_796,plain,
! [V_pn_1558] :
( ( hAPP(c_Com_Obody,V_pn_1558) = c_Option_Ooption_ONone(tc_Com_Ocom) )
| c_Com_OWT(c_Com_Ocom_OBODY(V_pn_1558)) ),
inference(cnfTransformation,[status(thm)],[f_2204]) ).
tff(c_212,plain,
! [V_P_407,T_a_408] : ( c_Collect(V_P_407,T_a_408) = V_P_407 ),
inference(cnfTransformation,[status(thm)],[f_596]) ).
tff(c_712,plain,
! [V_a_1387,T_a_1388] : ( c_Set_Oinsert(V_a_1387,c_Orderings_Obot__class_Obot(tc_fun(T_a_1388,tc_bool)),T_a_1388) = c_Collect(c_fequal(V_a_1387,T_a_1388),T_a_1388) ),
inference(cnfTransformation,[status(thm)],[f_2024]) ).
tff(c_892,plain,
c_Com_OWT__bodies,
inference(cnfTransformation,[status(thm)],[f_2435]) ).
tff(c_890,plain,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(cnfTransformation,[status(thm)],[f_2434]) ).
tff(c_830,plain,
! [V_c_1604] :
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ c_Com_OWT(V_c_1604)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(V_c_1604),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_2301]) ).
tff(c_977,plain,
! [V_c_1604] :
( ~ c_Com_OWT(V_c_1604)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(V_c_1604),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_892,c_890,c_830]) ).
tff(c_992,plain,
! [V_c_1604] :
( ~ c_Com_OWT(V_c_1604)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Collect(c_fequal(c_Hoare__Mirabelle_OMGT(V_c_1604),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(demodulation,[status(thm),theory(equality)],[c_712,c_977]) ).
tff(c_22146,plain,
! [V_c_2467] :
( ~ c_Com_OWT(V_c_2467)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_fequal(c_Hoare__Mirabelle_OMGT(V_c_2467),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(demodulation,[status(thm),theory(equality)],[c_212,c_992]) ).
tff(c_898,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(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_x)),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_2439]) ).
tff(c_998,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Collect(c_fequal(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_x)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(demodulation,[status(thm),theory(equality)],[c_712,c_898]) ).
tff(c_1066,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_fequal(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_x)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(demodulation,[status(thm),theory(equality)],[c_212,c_998]) ).
tff(c_22152,plain,
~ c_Com_OWT(c_Com_Ocom_OBODY(v_x)),
inference(resolution,[status(thm)],[c_22146,c_1066]) ).
tff(c_22158,plain,
hAPP(c_Com_Obody,v_x) = c_Option_Ooption_ONone(tc_Com_Ocom),
inference(resolution,[status(thm)],[c_796,c_22152]) ).
tff(c_22162,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17807,c_22158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV905-1 : TPTP v9.0.0. Released v4.1.0.
% 0.03/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n027.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 : Wed Apr 9 04:55:36 EDT 2025
% 0.13/0.34 % CPUTime :
% 17.21/5.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.21/5.41
% 17.21/5.41 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------