TSTP Solution File: SWV839-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV839-1 : 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 : n011.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 21:48:21 EDT 2023
% Result : Unsatisfiable 0.65s 0.74s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 88
% Syntax : Number of formulae : 101 ( 19 unt; 82 typ; 0 def)
% Number of atoms : 19 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 180 ( 71 >; 109 *; 0 +; 0 <<)
% Number of predicates : 28 ( 26 usr; 1 prp; 0-9 aty)
% Number of functors : 56 ( 56 usr; 11 con; 0-6 aty)
% Number of variables : 37 ( 6 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_HOL_Oord: $i > $o ).
tff(decl_23,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_24,type,
c_lessequals: $i > $i ).
tff(decl_25,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_26,type,
hBOOL: $i > $o ).
tff(decl_27,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
tc_bool: $i ).
tff(decl_29,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(decl_30,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_31,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_32,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
c_Finite__Set_Osetsum: ( $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
c_in: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_37,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_38,type,
c_SetInterval_Oord__class_OatLeastAtMost: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
c_SetInterval_Oord__class_OgreaterThanAtMost: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
c_fequal: $i > $i ).
tff(decl_42,type,
c_COMBC: ( $i * $i * $i * $i ) > $i ).
tff(decl_43,type,
c_Collect: ( $i * $i ) > $i ).
tff(decl_44,type,
c_Nitpick_Ofold__graph_H: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_45,type,
c_Finite__Set_Ofold__graph: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_46,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_47,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_48,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_49,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_50,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_51,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(decl_52,type,
c_Complete__Lattice_Ocomplete__lattice: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_53,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
c_The: ( $i * $i ) > $i ).
tff(decl_55,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_56,type,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR: ( $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(decl_58,type,
c_SetInterval_Oord__class_OatLeastLessThan: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
c_Complete__Lattice_OInf__class_OInf: $i > $i ).
tff(decl_60,type,
c_Complete__Lattice_OSup__class_OSup: $i > $i ).
tff(decl_61,type,
c_Complete__Lattice_Ocomplete__lattice__axioms: ( $i * $i * $i * $i ) > $o ).
tff(decl_62,type,
t_b: $i ).
tff(decl_63,type,
class_HOL_Ouminus: $i > $o ).
tff(decl_64,type,
v_A: $i ).
tff(decl_65,type,
t_a: $i ).
tff(decl_66,type,
v_x: $i ).
tff(decl_67,type,
c_Finite__Set_Olinorder__class_OMax: ( $i * $i ) > $i ).
tff(decl_68,type,
c_Finite__Set_Olinorder__class_OMin: ( $i * $i ) > $i ).
tff(decl_69,type,
c_Finite__Set_Ofold1Set: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
tc_nat: $i ).
tff(decl_71,type,
c_Hoare__Mirabelle_Otriple_Otriple: ( $i * $i * $i * $i ) > $i ).
tff(decl_72,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
tff(decl_73,type,
c_Hoare__Mirabelle_Ohoare__derivs: ( $i * $i * $i ) > $o ).
tff(decl_74,type,
tc_Com_Ostate: $i ).
tff(decl_75,type,
v_sko__Hoare__Mirabelle__Xescape__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_76,type,
v_sko__Hoare__Mirabelle__Xescape__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_77,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_78,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_79,type,
c_Com_Ocom_OSKIP: $i ).
tff(decl_80,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $i ).
tff(decl_81,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_82,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_83,type,
class_HOL_Ominus: $i > $o ).
tff(decl_84,type,
c_Finite__Set_Ofold1: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
class_Orderings_Obot: $i > $o ).
tff(decl_86,type,
c_Nitpick_Osko__Nitpick__XEx1__def__1__3: ( $i * $i ) > $i ).
tff(decl_87,type,
c_Set_Ocontents: ( $i * $i ) > $i ).
tff(decl_88,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
v_sko__Hoare__Mirabelle__Xconseq12__3: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
v_sko__Hoare__Mirabelle__Xconseq12__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
v_sko__Hoare__Mirabelle__Xconseq2__1: ( $i * $i ) > $i ).
tff(decl_97,type,
v_sko__Hoare__Mirabelle__Xconseq2__2: ( $i * $i ) > $i ).
tff(decl_98,type,
v_sko__Hoare__Mirabelle__Xconseq12__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
v_sko__Hoare__Mirabelle__Xconseq1__1: ( $i * $i ) > $i ).
tff(decl_100,type,
v_sko__Hoare__Mirabelle__Xconseq1__2: ( $i * $i ) > $i ).
tff(decl_101,type,
v_G: $i ).
tff(decl_102,type,
v_Ga: $i ).
tff(decl_103,type,
v_P: $i ).
cnf(cls_insert__def_0,axiom,
c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X3),X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__def_0) ).
cnf(cls_Collect__def_0,axiom,
c_Collect(X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__def_0) ).
cnf(cls_singleton__conv2_0,axiom,
c_Collect(hAPP(c_fequal(X1),X2),X1) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
cnf(cls_hoare__derivs_OSkip_0,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Com_Ocom_OSKIP,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hoare__derivs_OSkip_0) ).
cnf(cls_Un__empty__right_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_6,axiom,
c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X3),X2,tc_fun(X3,tc_bool)),
cls_insert__def_0 ).
cnf(c_0_7,axiom,
c_Collect(X1,X2) = X1,
cls_Collect__def_0 ).
cnf(c_0_8,axiom,
c_Collect(hAPP(c_fequal(X1),X2),X1) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
cls_singleton__conv2_0 ).
cnf(c_0_9,plain,
c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Com_Ocom_OSKIP,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3),
cls_hoare__derivs_OSkip_0 ).
cnf(c_0_11,plain,
hAPP(c_fequal(X1),X2) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_7]),c_0_9]) ).
cnf(c_0_12,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
cls_Un__empty__right_0 ).
cnf(c_0_13,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
cls_conjecture_1 ).
cnf(c_0_14,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(X3)),tc_Hoare__Mirabelle_Otriple(X3),tc_Hoare__Mirabelle_Otriple(X3),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Com_Ocom_OSKIP,X2,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),X3),
inference(rw,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_15,plain,
hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2) = hAPP(c_fequal(X1),X2),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),
inference(rw,[status(thm)],[c_0_13,c_0_9]) ).
cnf(c_0_17,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(X3,c_Com_Ocom_OSKIP,X3,X2)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_12]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_12]),c_0_15]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV839-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 04:12:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.65/0.74 % Version : CSE_E---1.5
% 0.65/0.74 % Problem : theBenchmark.p
% 0.65/0.74 % Proof found
% 0.65/0.74 % SZS status Theorem for theBenchmark.p
% 0.65/0.74 % SZS output start Proof
% See solution above
% 0.65/0.75 % Total time : 0.145000 s
% 0.65/0.75 % SZS output end Proof
% 0.65/0.75 % Total time : 0.160000 s
%------------------------------------------------------------------------------