TSTP Solution File: SWV911-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV911-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n016.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 21:48:36 EDT 2023
% Result : Unsatisfiable 0.51s 0.76s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 117
% Syntax : Number of formulae : 130 ( 9 unt; 111 typ; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 17 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 246 ( 91 >; 155 *; 0 +; 0 <<)
% Number of predicates : 28 ( 27 usr; 1 prp; 0-9 aty)
% Number of functors : 84 ( 84 usr; 20 con; 0-6 aty)
% Number of variables : 16 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_23,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(decl_26,type,
tc_bool: $i ).
tff(decl_27,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_28,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_29,type,
c_SetInterval_Oord__class_OatLeastLessThan: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_31,type,
c_SetInterval_Oord__class_OgreaterThanAtMost: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_33,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_34,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_35,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(decl_38,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_39,type,
c_Lattices_Oupper__semilattice__class_Osup: $i > $i ).
tff(decl_40,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_41,type,
c_Finite__Set_Osetsum: ( $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
c_Set_Oinsert: $i > $i ).
tff(decl_43,type,
c_Finite__Set_Ofold__graph: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_44,type,
c_in: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
hBOOL: $i > $o ).
tff(decl_46,type,
c_SetInterval_Oord__class_OatLeastAtMost: ( $i * $i * $i ) > $i ).
tff(decl_47,type,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR: ( $i * $i * $i * $i ) > $i ).
tff(decl_48,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
c_Fun_Ocomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
tc_Option_Ooption: $i > $i ).
tff(decl_51,type,
c_Map_Orestrict__map: ( $i * $i * $i * $i ) > $i ).
tff(decl_52,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_53,type,
t_a: $i ).
tff(decl_54,type,
v_x: $i ).
tff(decl_55,type,
c_fequal: $i > $i ).
tff(decl_56,type,
c_HOL_OIf: ( $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
class_HOL_Oord: $i > $o ).
tff(decl_58,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_59,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_60,type,
c_Fun_Oid: $i > $i ).
tff(decl_61,type,
c_COMBI: $i > $i ).
tff(decl_62,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(decl_63,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_64,type,
c_Nitpick_Ofold__graph_H: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_65,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_66,type,
c_Finite__Set_Olinorder__class_OMax: ( $i * $i ) > $i ).
tff(decl_67,type,
c_Finite__Set_Olinorder__class_OMin: ( $i * $i ) > $i ).
tff(decl_68,type,
c_Finite__Set_Ofold1Set: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
c_Option_Ooption_ONone: $i > $i ).
tff(decl_70,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_71,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $i ).
tff(decl_72,type,
c_Com_Ocom_OBODY: $i > $i ).
tff(decl_73,type,
c_COMBS: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_74,type,
c_COMBC: ( $i * $i * $i * $i ) > $i ).
tff(decl_75,type,
c_Finite__Set_Ofold1: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
c_The: ( $i * $i ) > $i ).
tff(decl_77,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(decl_78,type,
c_Com_Ocom_OWhile: ( $i * $i ) > $i ).
tff(decl_79,type,
c_Com_Ocom_OSKIP: $i ).
tff(decl_80,type,
c_Collect: ( $i * $i ) > $i ).
tff(decl_81,type,
c_Finite__Set_Ofun__left__comm__idem: ( $i * $i * $i ) > $o ).
tff(decl_82,type,
tc_nat: $i ).
tff(decl_83,type,
c_Complete__Lattice_Ocomplete__lattice: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_84,type,
c_Com_Ocom_OCond: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
class_HOL_Ominus: $i > $o ).
tff(decl_86,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
tff(decl_87,type,
c_Not: $i ).
tff(decl_88,type,
tc_Com_Ostate: $i ).
tff(decl_89,type,
c_Hoare__Mirabelle_Opeek__and: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
c_Hoare__Mirabelle_Otriple_Otriple: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
c_Hoare__Mirabelle_Ohoare__valids: ( $i * $i * $i ) > $o ).
tff(decl_92,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_93,type,
class_Orderings_Obot: $i > $o ).
tff(decl_94,type,
c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).
tff(decl_95,type,
c_False: $i ).
tff(decl_96,type,
c_Complete__Lattice_OInf__class_OInf: ( $i * $i ) > $i ).
tff(decl_97,type,
c_Fun_Ofcomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
t_b: $i ).
tff(decl_99,type,
c_Hoare__Mirabelle_Otriple_Otriple__case: ( $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
c_Hoare__Mirabelle_Otriple_Otriple__rec: ( $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
c_Hoare__Mirabelle_Ohoare__derivs: ( $i * $i * $i ) > $o ).
tff(decl_102,type,
v_sko__Hoare__Mirabelle__Xescape__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
v_sko__Hoare__Mirabelle__Xescape__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
v_P: $i ).
tff(decl_105,type,
v_Q: $i ).
tff(decl_106,type,
t_c: $i ).
tff(decl_107,type,
v_R: $i ).
tff(decl_108,type,
c_True: $i ).
tff(decl_109,type,
c_Com_Obody: $i > $i ).
tff(decl_110,type,
tc_Com_Ocom: $i ).
tff(decl_111,type,
c_Option_Othe: ( $i * $i ) > $i ).
tff(decl_112,type,
c_Nitpick_Osko__Nitpick__XEx1__def__1__3: ( $i * $i ) > $i ).
tff(decl_113,type,
c_Set_Ocontents: ( $i * $i ) > $i ).
tff(decl_114,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_115,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_116,type,
v_sko__Hoare__Mirabelle__Xconseq12__3: ( $i * $i * $i * $i ) > $i ).
tff(decl_117,type,
v_sko__Hoare__Mirabelle__Xconseq12__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_118,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_119,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_120,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_121,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_122,type,
v_sko__Hoare__Mirabelle__Xconseq2__1: ( $i * $i ) > $i ).
tff(decl_123,type,
v_sko__Hoare__Mirabelle__Xconseq2__2: ( $i * $i ) > $i ).
tff(decl_124,type,
v_sko__Hoare__Mirabelle__Xconseq12__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_125,type,
v_sko__Hoare__Mirabelle__Xconseq1__1: ( $i * $i ) > $i ).
tff(decl_126,type,
v_sko__Hoare__Mirabelle__Xconseq1__2: ( $i * $i ) > $i ).
tff(decl_127,type,
v_G: $i ).
tff(decl_128,type,
v_c: $i ).
tff(decl_129,type,
v_P_H: $i ).
tff(decl_130,type,
v_Q_H: $i ).
tff(decl_131,type,
v_xa: $i ).
tff(decl_132,type,
v_xb: ( $i * $i ) > $i ).
cnf(cls_conjecture_3,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X1,X2)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_5,negated_conjecture,
( hBOOL(hAPP(hAPP(X1,X2),v_xb(X3,X1)))
| ~ hBOOL(hAPP(hAPP(X3,X2),v_xa))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X3,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_4,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X1,X2)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa))
| hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_0_6,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X1,X2)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
cls_conjecture_3 ).
cnf(c_0_7,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
cls_conjecture_0 ).
cnf(c_0_8,negated_conjecture,
( hBOOL(hAPP(hAPP(X1,X2),v_xb(X3,X1)))
| ~ hBOOL(hAPP(hAPP(X3,X2),v_xa))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X3,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
cls_conjecture_5 ).
cnf(c_0_9,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(v_P,v_Q))),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( hBOOL(hAPP(hAPP(v_Q,X1),v_xb(v_P,v_Q)))
| ~ hBOOL(hAPP(hAPP(v_P,X1),v_xa)) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X1,X2)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
cls_conjecture_4 ).
cnf(c_0_12,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
cls_conjecture_1 ).
cnf(c_0_13,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa))
| hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
cls_conjecture_2 ).
cnf(c_0_14,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(v_P_H,v_Q_H))),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( hBOOL(hAPP(hAPP(v_Q_H,X1),v_xb(v_P_H,v_Q_H)))
| ~ hBOOL(hAPP(hAPP(v_P_H,X1),v_xa)) ),
inference(spm,[status(thm)],[c_0_8,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)),
inference(sr,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWV911-1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.36 % Computer : n016.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 04:52:15 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.50/0.58 start to proof: theBenchmark
% 0.51/0.76 % Version : CSE_E---1.5
% 0.51/0.76 % Problem : theBenchmark.p
% 0.51/0.76 % Proof found
% 0.51/0.76 % SZS status Theorem for theBenchmark.p
% 0.51/0.76 % SZS output start Proof
% See solution above
% 0.51/0.77 % Total time : 0.165000 s
% 0.51/0.77 % SZS output end Proof
% 0.51/0.77 % Total time : 0.177000 s
%------------------------------------------------------------------------------