%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV892-1 : 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 : n002.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 09:31:51 PM UTC 2025
% Result : Unsatisfiable 93.32s 68.92s
% Output : CNFRefutation 93.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 53 ( 30 unt; 0 typ; 0 def)
% Number of atoms : 78 ( 39 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 31 ( 29 usr; 3 prp; 0-9 aty)
% Number of functors : 65 ( 65 usr; 9 con; 0-5 aty)
% Number of variables : 92 ( 92 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Complete__Lattice_Ocomplete__lattice > c_Nitpick_Ofold__graph_H > c_Finite__Set_Ofold__graph > c_Map_Omap__le > c_Fun_Oinj__on > c_lessequals > c_Hoare__Mirabelle_Ohoare__derivs > c_HOL_Oord__class_Oless > c_Finite__Set_Ofinite > hBOOL > class_Ring__and__Field_Oring > class_Ring__and__Field_Oordered__idom > 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_Finite__Set_Ofinite_Ofinite > class_Complete__Lattice_Ocomplete__lattice > c_Com_OWT > c_SetInterval_Oord_OgreaterThanAtMost > c_SetInterval_Oord_OatLeastLessThan > c_Fun_Ofun__upd > c_COMBB > c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3 > c_Set_Ovimage > c_Set_Oimage > c_SetInterval_Oord_OgreaterThanLessThan > c_SetInterval_Oord_OatLeastAtMost > c_Map_Osko__Map__Xmap__le__def__1__1 > c_Map_Osko__Map__XdomD__1__1 > c_Map_Omap__add > c_Hoare__Mirabelle_Otriple_Otriple > c_Finite__Set_Osetsum > c_Complete__Lattice_Ocomplete__lattice__class_OSUPR > c_COMBC > c_ATP__Linkup_Osko__Set__Xbex__Un__1__3 > c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1 > c_Set_Oinsert > c_SetInterval_Oord_OlessThan > c_SetInterval_Oord_OgreaterThan > c_SetInterval_Oord_OatMost > c_Map_Odom > c_Lattices_Oupper__semilattice__class_Osup > c_Lattices_Olower__semilattice__class_Oinf > c_HOL_Ominus__class_Ominus > c_Com_Ocom_OLocal > c_Com_Ocom_OCond > c_COMBK > c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1 > c_ATP__Linkup_Osko__Set__XbexI__1__1 > c_ATP__Linkup_Osko__Set__XbexE__1__1 > c_ATP__Linkup_Osko__Set__XbexCI__1__1 > c_ATP__Linkup_Osko__Set__XballE__1__1 > c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3 > tc_fun > hAPP > c_Option_Othe > c_Option_Ooption_OSome > c_Finite__Set_Ocard > 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_in > c_fequal > c_Orderings_Obot__class_Obot > c_Option_Ooption_ONone > c_Natural_Oevalc > c_Hoare__Mirabelle_OMGT > c_Com_Osko__Com__XWTs__elim__cases__7__1 > c_Com_Ocom_OBODY > v_pn > v_c > tc_nat > tc_bool > tc_Com_Ostate > tc_Com_Opname > tc_Com_Ocom > c_Hoare__Mirabelle_Ostate__not__singleton > c_Com_Ocom_OSKIP > c_Com_Obody > c_Com_OWT__bodies
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(tc_Com_Ostate,type,
tc_Com_Ostate: $i ).
tff(c_Set_Oinsert,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(c_SetInterval_Oord_OatLeastLessThan,type,
c_SetInterval_Oord_OatLeastLessThan: ( $i * $i * $i * $i * $i ) > $i ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff(c_COMBK,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(c_SetInterval_Oord_OgreaterThanLessThan,type,
c_SetInterval_Oord_OgreaterThanLessThan: ( $i * $i * $i * $i ) > $i ).
tff(c_Map_Osko__Map__XdomD__1__1,type,
c_Map_Osko__Map__XdomD__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_HOL_Oord__class_Oless,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3,type,
c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3: ( $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Set__XbexCI__1__1,type,
c_ATP__Linkup_Osko__Set__XbexCI__1__1: ( $i * $i * $i ) > $i ).
tff(c_fequal,type,
c_fequal: $i > $i ).
tff(c_Map_Osko__Map__Xmap__le__def__1__1,type,
c_Map_Osko__Map__Xmap__le__def__1__1: ( $i * $i * $i * $i ) > $i ).
tff(v_c,type,
v_c: $i ).
tff(c_SetInterval_Oord_OgreaterThanAtMost,type,
c_SetInterval_Oord_OgreaterThanAtMost: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_SetInterval_Oord_OlessThan,type,
c_SetInterval_Oord_OlessThan: ( $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3,type,
c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Set__Xbex__Un__1__3,type,
c_ATP__Linkup_Osko__Set__Xbex__Un__1__3: ( $i * $i * $i * $i ) > $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(class_Ring__and__Field_Oring,type,
class_Ring__and__Field_Oring: $i > $o ).
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_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(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_Fun_Oinj__on,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
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(v_pn,type,
v_pn: $i ).
tff(c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1,type,
c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1: ( $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_Map_Omap__add,type,
c_Map_Omap__add: ( $i * $i * $i * $i ) > $i ).
tff(c_Com_Ocom_OLocal,type,
c_Com_Ocom_OLocal: ( $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_Finite__Set_Ofold__graph,type,
c_Finite__Set_Ofold__graph: ( $i * $i * $i * $i * $i * $i ) > $o ).
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_SetInterval_Oord_OatMost,type,
c_SetInterval_Oord_OatMost: ( $i * $i * $i ) > $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(class_Ring__and__Field_Oordered__idom,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
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(c_Finite__Set_Ocard,type,
c_Finite__Set_Ocard: ( $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_SetInterval_Oord_OgreaterThan,type,
c_SetInterval_Oord_OgreaterThan: ( $i * $i * $i ) > $i ).
tff(c_Fun_Ofun__upd,type,
c_Fun_Ofun__upd: ( $i * $i * $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_SetInterval_Oord_OatLeastAtMost,type,
c_SetInterval_Oord_OatLeastAtMost: ( $i * $i * $i * $i ) > $i ).
tff(c_Natural_Oevalc,type,
c_Natural_Oevalc: $i > $i ).
tff(c_in,type,
c_in: $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(hBOOL,type,
hBOOL: $i > $o ).
tff(v_sko__Hoare__Mirabelle__Xsingle__stateE__1,type,
v_sko__Hoare__Mirabelle__Xsingle__stateE__1: $i > $i ).
tff(class_Lattices_Olower__semilattice,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(c_Nitpick_Ofold__graph_H,type,
c_Nitpick_Ofold__graph_H: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(c_Com_Ocom_OSemi,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Set__XbexI__1__1,type,
c_ATP__Linkup_Osko__Set__XbexI__1__1: ( $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1,type,
c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1: ( $i * $i * $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(c_Finite__Set_Osetsum,type,
c_Finite__Set_Osetsum: ( $i * $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_ATP__Linkup_Osko__Set__XbexE__1__1,type,
c_ATP__Linkup_Osko__Set__XbexE__1__1: ( $i * $i * $i ) > $i ).
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_Lattices_Olower__semilattice__class_Oinf,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(c_COMBC,type,
c_COMBC: ( $i * $i * $i * $i ) > $i ).
tff(class_Complete__Lattice_Ocomplete__lattice,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(c_ATP__Linkup_Osko__Set__XballE__1__1,type,
c_ATP__Linkup_Osko__Set__XballE__1__1: ( $i * $i * $i ) > $i ).
tff(c_Option_Ooption_ONone,type,
c_Option_Ooption_ONone: $i > $i ).
tff(f_3805,axiom,
hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),v_pn),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom))),
file(unknown,unknown) ).
tff(f_3801,axiom,
! [V_S,V_x,T_a] :
( hBOOL(hAPP(V_S,V_x))
| ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ),
file(unknown,unknown) ).
tff(f_3796,axiom,
! [T_a,V_x,V_S] :
( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))
| ~ hBOOL(hAPP(V_S,V_x)) ),
file(unknown,unknown) ).
tff(f_3554,axiom,
! [V_a,V_A,T_a] :
( ( c_Set_Oinsert(V_a,V_A,T_a) = V_A )
| ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ),
file(unknown,unknown) ).
tff(f_3200,axiom,
! [T_a,V_x,V_B] : hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))),
file(unknown,unknown) ).
tff(f_3760,axiom,
! [V_m,V_a,T_b,T_a] :
( ( hAPP(V_m,V_a) != c_Option_Ooption_ONone(T_b) )
| ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Map_Odom(V_m,T_a,T_b))) ),
file(unknown,unknown) ).
tff(f_3655,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_1965,axiom,
! [V_P] :
( ( hAPP(c_Com_Obody,V_P) = c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(V_P),tc_Com_Ocom) )
| ~ c_Com_OWT(c_Com_Ocom_OBODY(V_P)) ),
file(unknown,unknown) ).
tff(f_3667,axiom,
! [V_x,T_a] : ( c_Option_Othe(c_Option_Ooption_OSome(V_x,T_a),T_a) = V_x ),
file(unknown,unknown) ).
tff(f_1700,axiom,
! [V_P,T_a] : ( c_Collect(V_P,T_a) = V_P ),
file(unknown,unknown) ).
tff(f_3129,axiom,
! [T_a,V_A] : ( c_Collect(hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_A),T_a) = V_A ),
file(unknown,unknown) ).
tff(f_2189,axiom,
! [T_a,V_Q,V_P,T_c,T_b,V_R] : ( hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ),
file(unknown,unknown) ).
tff(f_3647,axiom,
! [V_m,V_a,T_a,T_b] :
( ( hAPP(V_m,V_a) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(V_a,V_m,T_a,T_b),T_b) )
| ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Map_Odom(V_m,T_a,T_b))) ),
file(unknown,unknown) ).
tff(f_3807,axiom,
~ c_Com_OWT(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom)),
file(unknown,unknown) ).
tff(f_3803,axiom,
c_Com_OWT__bodies,
file(unknown,unknown) ).
tff(f_3787,axiom,
! [V_pn,V_b] :
( ( hAPP(c_Com_Obody,V_pn) != c_Option_Ooption_OSome(V_b,tc_Com_Ocom) )
| ~ c_Com_OWT__bodies
| c_Com_OWT(V_b) ),
file(unknown,unknown) ).
tff(c_1338,plain,
hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),v_pn),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom))),
inference(cnfTransformation,[status(thm)],[f_3805]) ).
tff(c_6484,plain,
! [T_a_3258,V_x_3259,V_S_3260] :
( ~ hBOOL(hAPP(hAPP(c_in(T_a_3258),V_x_3259),V_S_3260))
| hBOOL(hAPP(V_S_3260,V_x_3259)) ),
inference(cnfTransformation,[status(thm)],[f_3801]) ).
tff(c_6491,plain,
hBOOL(hAPP(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),v_pn)),
inference(resolution,[status(thm)],[c_1338,c_6484]) ).
tff(c_1328,plain,
! [V_S_2673,V_x_2672,T_a_2671] :
( ~ hBOOL(hAPP(V_S_2673,V_x_2672))
| hBOOL(hAPP(hAPP(c_in(T_a_2671),V_x_2672),V_S_2673)) ),
inference(cnfTransformation,[status(thm)],[f_3796]) ).
tff(c_16204,plain,
! [T_a_3516,V_a_3517,V_A_3518] :
( ~ hBOOL(hAPP(hAPP(c_in(T_a_3516),V_a_3517),V_A_3518))
| ( c_Set_Oinsert(V_a_3517,V_A_3518,T_a_3516) = V_A_3518 ) ),
inference(cnfTransformation,[status(thm)],[f_3554]) ).
tff(c_16224,plain,
! [V_x_3519,V_S_3520,T_a_3521] :
( ( c_Set_Oinsert(V_x_3519,V_S_3520,T_a_3521) = V_S_3520 )
| ~ hBOOL(hAPP(V_S_3520,V_x_3519)) ),
inference(resolution,[status(thm)],[c_1328,c_16204]) ).
tff(c_16295,plain,
! [T_a_3522] : ( c_Set_Oinsert(v_pn,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),T_a_3522) = c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom) ),
inference(resolution,[status(thm)],[c_6491,c_16224]) ).
tff(c_1144,plain,
! [T_a_2277,V_x_2278,V_B_2279] : hBOOL(hAPP(hAPP(c_in(T_a_2277),V_x_2278),c_Set_Oinsert(V_x_2278,V_B_2279,T_a_2277))),
inference(cnfTransformation,[status(thm)],[f_3200]) ).
tff(c_16310,plain,
! [T_a_3522] : hBOOL(hAPP(hAPP(c_in(T_a_3522),v_pn),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom))),
inference(superposition,[status(thm),theory(equality)],[c_16295,c_1144]) ).
tff(c_44492,plain,
! [T_a_4064,V_a_4065,V_m_4066,T_b_4067] :
( ~ hBOOL(hAPP(hAPP(c_in(T_a_4064),V_a_4065),c_Map_Odom(V_m_4066,T_a_4064,T_b_4067)))
| ( hAPP(V_m_4066,V_a_4065) != c_Option_Ooption_ONone(T_b_4067) ) ),
inference(cnfTransformation,[status(thm)],[f_3760]) ).
tff(c_44501,plain,
hAPP(c_Com_Obody,v_pn) != c_Option_Ooption_ONone(tc_Com_Ocom),
inference(resolution,[status(thm)],[c_16310,c_44492]) ).
tff(c_1272,plain,
! [V_pn_2595] :
( ( hAPP(c_Com_Obody,V_pn_2595) = c_Option_Ooption_ONone(tc_Com_Ocom) )
| c_Com_OWT(c_Com_Ocom_OBODY(V_pn_2595)) ),
inference(cnfTransformation,[status(thm)],[f_3655]) ).
tff(c_3748,plain,
! [V_P_3124] :
( ~ c_Com_OWT(c_Com_Ocom_OBODY(V_P_3124))
| ( c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(V_P_3124),tc_Com_Ocom) = hAPP(c_Com_Obody,V_P_3124) ) ),
inference(cnfTransformation,[status(thm)],[f_1965]) ).
tff(c_297403,plain,
! [V_pn_6395] :
( ( c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(V_pn_6395),tc_Com_Ocom) = hAPP(c_Com_Obody,V_pn_6395) )
| ( hAPP(c_Com_Obody,V_pn_6395) = c_Option_Ooption_ONone(tc_Com_Ocom) ) ),
inference(resolution,[status(thm)],[c_1272,c_3748]) ).
tff(c_1278,plain,
! [V_x_2602,T_a_2603] : ( c_Option_Othe(c_Option_Ooption_OSome(V_x_2602,T_a_2603),T_a_2603) = V_x_2602 ),
inference(cnfTransformation,[status(thm)],[f_3667]) ).
tff(c_301409,plain,
! [V_pn_6403] :
( ( c_Option_Othe(hAPP(c_Com_Obody,V_pn_6403),tc_Com_Ocom) = c_Com_Osko__Com__XWTs__elim__cases__7__1(V_pn_6403) )
| ( hAPP(c_Com_Obody,V_pn_6403) = c_Option_Ooption_ONone(tc_Com_Ocom) ) ),
inference(superposition,[status(thm),theory(equality)],[c_297403,c_1278]) ).
tff(c_568,plain,
! [V_P_1109,T_a_1110] : ( c_Collect(V_P_1109,T_a_1110) = V_P_1109 ),
inference(cnfTransformation,[status(thm)],[f_1700]) ).
tff(c_21603,plain,
! [T_a_3638,V_A_3639] : ( c_Collect(hAPP(c_COMBC(c_in(T_a_3638),T_a_3638,tc_fun(T_a_3638,tc_bool),tc_bool),V_A_3639),T_a_3638) = V_A_3639 ),
inference(cnfTransformation,[status(thm)],[f_3129]) ).
tff(c_67928,plain,
! [T_a_4341,V_A_4342] : ( hAPP(c_COMBC(c_in(T_a_4341),T_a_4341,tc_fun(T_a_4341,tc_bool),tc_bool),V_A_4342) = V_A_4342 ),
inference(superposition,[status(thm),theory(equality)],[c_568,c_21603]) ).
tff(c_766,plain,
! [V_Q_1517,T_c_1519,T_a_1516,V_P_1518,V_R_1521,T_b_1520] : ( hAPP(hAPP(c_COMBC(V_P_1518,T_b_1520,T_c_1519,T_a_1516),V_Q_1517),V_R_1521) = hAPP(hAPP(V_P_1518,V_R_1521),V_Q_1517) ),
inference(cnfTransformation,[status(thm)],[f_2189]) ).
tff(c_67943,plain,
! [T_a_4341,V_R_1521,V_A_4342] : ( hAPP(hAPP(c_in(T_a_4341),V_R_1521),V_A_4342) = hAPP(V_A_4342,V_R_1521) ),
inference(superposition,[status(thm),theory(equality)],[c_67928,c_766]) ).
tff(c_1268,plain,
! [T_a_2589,V_a_2588,V_m_2587,T_b_2590] :
( ~ hBOOL(hAPP(hAPP(c_in(T_a_2589),V_a_2588),c_Map_Odom(V_m_2587,T_a_2589,T_b_2590)))
| ( c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(V_a_2588,V_m_2587,T_a_2589,T_b_2590),T_b_2590) = hAPP(V_m_2587,V_a_2588) ) ),
inference(cnfTransformation,[status(thm)],[f_3647]) ).
tff(c_124249,plain,
! [V_m_5036,T_a_5037,T_b_5038,V_a_5039] :
( ~ hBOOL(hAPP(c_Map_Odom(V_m_5036,T_a_5037,T_b_5038),V_a_5039))
| ( c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(V_a_5039,V_m_5036,T_a_5037,T_b_5038),T_b_5038) = hAPP(V_m_5036,V_a_5039) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67943,c_1268]) ).
tff(c_124267,plain,
c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom) = hAPP(c_Com_Obody,v_pn),
inference(resolution,[status(thm)],[c_6491,c_124249]) ).
tff(c_124286,plain,
c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom) = c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),
inference(superposition,[status(thm),theory(equality)],[c_124267,c_1278]) ).
tff(c_301424,plain,
( ( c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom) = c_Com_Osko__Com__XWTs__elim__cases__7__1(v_pn) )
| ( hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_ONone(tc_Com_Ocom) ) ),
inference(superposition,[status(thm),theory(equality)],[c_301409,c_124286]) ).
tff(c_301438,plain,
c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom) = c_Com_Osko__Com__XWTs__elim__cases__7__1(v_pn),
inference(negUnitSimplification,[status(thm)],[c_44501,c_301424]) ).
tff(c_1340,plain,
~ c_Com_OWT(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom)),
inference(cnfTransformation,[status(thm)],[f_3807]) ).
tff(c_124295,plain,
~ c_Com_OWT(c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom)),
inference(demodulation,[status(thm),theory(equality)],[c_124286,c_1340]) ).
tff(c_301441,plain,
~ c_Com_OWT(c_Com_Osko__Com__XWTs__elim__cases__7__1(v_pn)),
inference(demodulation,[status(thm),theory(equality)],[c_301438,c_124295]) ).
tff(c_301443,plain,
c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(v_pn),tc_Com_Ocom) = hAPP(c_Com_Obody,v_pn),
inference(demodulation,[status(thm),theory(equality)],[c_301438,c_124267]) ).
tff(c_1334,plain,
c_Com_OWT__bodies,
inference(cnfTransformation,[status(thm)],[f_3803]) ).
tff(c_1324,plain,
! [V_b_2668,V_pn_2667] :
( c_Com_OWT(V_b_2668)
| ~ c_Com_OWT__bodies
| ( hAPP(c_Com_Obody,V_pn_2667) != c_Option_Ooption_OSome(V_b_2668,tc_Com_Ocom) ) ),
inference(cnfTransformation,[status(thm)],[f_3787]) ).
tff(c_1411,plain,
! [V_b_2668,V_pn_2667] :
( c_Com_OWT(V_b_2668)
| ( hAPP(c_Com_Obody,V_pn_2667) != c_Option_Ooption_OSome(V_b_2668,tc_Com_Ocom) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1334,c_1324]) ).
tff(c_301515,plain,
! [V_pn_2667] :
( c_Com_OWT(c_Com_Osko__Com__XWTs__elim__cases__7__1(v_pn))
| ( hAPP(c_Com_Obody,v_pn) != hAPP(c_Com_Obody,V_pn_2667) ) ),
inference(superposition,[status(thm),theory(equality)],[c_301443,c_1411]) ).
tff(c_301541,plain,
! [V_pn_2667] : ( hAPP(c_Com_Obody,v_pn) != hAPP(c_Com_Obody,V_pn_2667) ),
inference(negUnitSimplification,[status(thm)],[c_301441,c_301515]) ).
tff(c_301550,plain,
$false,
inference(reflexivity,[status(thm),theory(equality)],[c_301541]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : SWV892-1 : TPTP v9.0.0. Released v4.1.0.
% 0.14/0.15 % 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
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Apr 9 04:54:47 EDT 2025
% 0.15/0.35 % CPUTime :
% 93.32/68.92 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 93.32/68.93
% 93.32/68.93 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------