TSTP Solution File: SWV880-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV880-1 : 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 : 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 : Thu Aug 31 21:48:29 EDT 2023
% Result : Unsatisfiable 4.76s 4.87s
% Output : CNFRefutation 4.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 72
% Syntax : Number of formulae : 93 ( 22 unt; 62 typ; 0 def)
% Number of atoms : 42 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 138 ( 54 >; 84 *; 0 +; 0 <<)
% Number of predicates : 26 ( 24 usr; 1 prp; 0-6 aty)
% Number of functors : 38 ( 38 usr; 8 con; 0-5 aty)
% Number of variables : 54 ( 13 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_23,type,
c_Orderings_Oord__class_Omin: $i > $i ).
tff(decl_24,type,
c_Orderings_Oord__class_Omax: ( $i * $i * $i ) > $i ).
tff(decl_25,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_26,type,
class_HOL_Oord: $i > $o ).
tff(decl_27,type,
c_SetInterval_Oord__class_OlessThan: ( $i * $i ) > $i ).
tff(decl_28,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
tc_bool: $i ).
tff(decl_31,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_32,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_33,type,
c_Set_Ovimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_34,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(decl_36,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_38,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(decl_39,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_40,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_41,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_42,type,
c_Lattices_Olower__semilattice__class_Oinf: $i > $i ).
tff(decl_43,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_44,type,
c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_46,type,
c_Fun_Othe__inv__into: ( $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
c_Finite__Set_Ocard: ( $i * $i ) > $i ).
tff(decl_48,type,
c_Hilbert__Choice_Oinv__into: ( $i * $i * $i * $i ) > $i ).
tff(decl_49,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_50,type,
hBOOL: $i > $o ).
tff(decl_51,type,
c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_52,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_53,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_54,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_56,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_57,type,
c_Finite__Set_Ofold__graph: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_58,type,
c_Inductive_Ocomplete__lattice__class_Ogfp: ( $i * $i ) > $i ).
tff(decl_59,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(decl_60,type,
class_Orderings_Otop: $i > $o ).
tff(decl_61,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(decl_62,type,
c_Nitpick_Ofold__graph_H: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_63,type,
c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_65,type,
c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_66,type,
c_Finite__Set_Olinorder__class_OMax: ( $i * $i ) > $i ).
tff(decl_67,type,
c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
c_Finite__Set_Olinorder__class_OMin: ( $i * $i ) > $i ).
tff(decl_69,type,
c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
tc_nat: $i ).
tff(decl_71,type,
c_Finite__Set_Osetsum: ( $i * $i * $i * $i ) > $i ).
tff(decl_72,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_73,type,
c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_75,type,
c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_76,type,
class_Orderings_Obot: $i > $o ).
tff(decl_77,type,
v_U: $i ).
tff(decl_78,type,
tc_Com_Opname: $i ).
tff(decl_79,type,
v_G: $i ).
tff(decl_80,type,
v_mgt__call: $i ).
tff(decl_81,type,
t_a: $i ).
tff(decl_82,type,
v_pn: $i ).
tff(decl_83,type,
c_fequal: ( $i * $i * $i ) > $o ).
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_pn,v_U,tc_Com_Opname),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_mem__def_1,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_image__insert_0,axiom,
c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__insert_0) ).
cnf(cls_conjecture_1,negated_conjecture,
v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_insert__absorb_0,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_insert__subset_2,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
cnf(cls_empty__subsetI_0,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_0_10,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
cls_mem__def_0 ).
cnf(c_0_11,negated_conjecture,
c_in(v_pn,v_U,tc_Com_Opname),
cls_conjecture_2 ).
cnf(c_0_12,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_13,negated_conjecture,
hBOOL(hAPP(v_U,v_pn)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,axiom,
c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
cls_image__insert_0 ).
cnf(c_0_15,negated_conjecture,
v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
cls_conjecture_1 ).
cnf(c_0_16,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
cls_insert__absorb_0 ).
cnf(c_0_17,negated_conjecture,
c_in(v_pn,v_U,X1),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
c_Set_Oimage(v_mgt__call,c_Set_Oinsert(X1,v_U,tc_Com_Opname),tc_Com_Opname,t_a) = c_Set_Oinsert(hAPP(v_mgt__call,X1),v_G,t_a),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
c_Set_Oinsert(v_pn,v_U,X1) = v_U,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(c_0_21,negated_conjecture,
c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a) = v_G,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_15]) ).
cnf(c_0_22,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
cls_insert__subset_2 ).
cnf(c_0_23,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
cls_empty__subsetI_0 ).
cnf(c_0_24,negated_conjecture,
hBOOL(hAPP(v_G,hAPP(v_mgt__call,v_pn))),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
cls_conjecture_3 ).
cnf(c_0_26,plain,
( c_lessequals(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3,tc_fun(X2,tc_bool))
| ~ c_in(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
c_in(hAPP(v_mgt__call,v_pn),v_G,X1),
inference(spm,[status(thm)],[c_0_12,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
inference(rw,[status(thm)],[c_0_25,c_0_15]) ).
cnf(c_0_29,negated_conjecture,
c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),v_G,tc_fun(X1,tc_bool)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV880-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n025.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 : Tue Aug 29 10:53:10 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 4.76/4.87 % Version : CSE_E---1.5
% 4.76/4.87 % Problem : theBenchmark.p
% 4.76/4.87 % Proof found
% 4.76/4.87 % SZS status Theorem for theBenchmark.p
% 4.76/4.87 % SZS output start Proof
% See solution above
% 4.76/4.87 % Total time : 4.281000 s
% 4.76/4.87 % SZS output end Proof
% 4.76/4.87 % Total time : 4.297000 s
%------------------------------------------------------------------------------