TSTP Solution File: SCT007-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SCT007-1 : 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 : n020.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 14:10:43 EDT 2023
% Result : Unsatisfiable 0.20s 0.76s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 86
% Syntax : Number of formulae : 93 ( 8 unt; 82 typ; 0 def)
% Number of atoms : 14 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 171 ( 74 >; 97 *; 0 +; 0 <<)
% Number of predicates : 33 ( 31 usr; 1 prp; 0-9 aty)
% Number of functors : 51 ( 51 usr; 8 con; 0-5 aty)
% Number of variables : 14 ( 3 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Transitive__Closure_Ortrancl: ( $i * $i ) > $i ).
tff(decl_23,type,
c_Relation_Orel__comp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_24,type,
c_Relation_Oantisym: ( $i * $i ) > $o ).
tff(decl_25,type,
c_Relation_OId: $i > $i ).
tff(decl_26,type,
tc_prod: ( $i * $i ) > $i ).
tff(decl_27,type,
tc_bool: $i ).
tff(decl_28,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_29,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
c_Product__Type_OSigma: ( $i * $i * $i * $i ) > $i ).
tff(decl_32,type,
c_in: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
hBOOL: $i > $o ).
tff(decl_34,type,
class_Orderings_Obot: $i > $o ).
tff(decl_35,type,
t_a: $i ).
tff(decl_36,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_37,type,
v_x: $i ).
tff(decl_38,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_39,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_40,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_41,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
c_Relation_Oinv__image: ( $i * $i * $i * $i ) > $i ).
tff(decl_43,type,
c_Relation_Osym: ( $i * $i ) > $o ).
tff(decl_44,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_45,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_46,type,
c_Transitive__Closure_Otrancl: ( $i * $i ) > $i ).
tff(decl_47,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_48,type,
c_Set_Ovimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_49,type,
c_Relation_Otrans: ( $i * $i ) > $i ).
tff(decl_50,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_51,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(decl_52,type,
c_Collect: ( $i * $i ) > $i ).
tff(decl_53,type,
c_Relation_Oconverse: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
c_Relation_OImage: ( $i * $i * $i * $i ) > $i ).
tff(decl_56,type,
c_Complete__Lattice_Ocomplete__lattice__class_OINFI: ( $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
c_Relation_ODomain: ( $i * $i * $i ) > $i ).
tff(decl_58,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_59,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(decl_60,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(decl_61,type,
c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).
tff(decl_62,type,
c_Relation_ORange: ( $i * $i * $i ) > $i ).
tff(decl_63,type,
c_Order__Relation_Opartial__order__on: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_65,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_66,type,
c_Order__Relation_Olinear__order__on: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
c_Relation_Ototal__on: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
c_Relation_Orefl__on: ( $i * $i * $i ) > $o ).
tff(decl_69,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_70,type,
c_Nat_Ocompow: ( $i * $i * $i * $i ) > $i ).
tff(decl_71,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_72,type,
c_Wellfounded_Owf: ( $i * $i ) > $i ).
tff(decl_73,type,
c_Relation_Osingle__valued: ( $i * $i * $i ) > $o ).
tff(decl_74,type,
v_A: $i ).
tff(decl_75,type,
v_r: $i ).
tff(decl_76,type,
c_and: ( $i * $i ) > $i ).
tff(decl_77,type,
c_Wellfounded_Oacyclic: ( $i * $i ) > $o ).
tff(decl_78,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_79,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_80,type,
t_b: $i ).
tff(decl_81,type,
class_HOL_Ouminus: $i > $o ).
tff(decl_82,type,
c_Complete__Lattice_Ocomplete__lattice: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_83,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_84,type,
c_Order__Relation_Owell__order__on: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(decl_86,type,
class_HOL_Oord: $i > $o ).
tff(decl_87,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_88,type,
class_Orderings_Otop: $i > $o ).
tff(decl_89,type,
c_Order__Relation_Ostrict__linear__order__on: ( $i * $i ) > $i ).
tff(decl_90,type,
c_Relation_Oirrefl: ( $i * $i ) > $i ).
tff(decl_91,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_92,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_93,type,
c_Wellfounded_Omeasure: ( $i * $i ) > $i ).
tff(decl_94,type,
c_List_Omeasures: ( $i * $i ) > $i ).
tff(decl_95,type,
c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1: ( $i * $i * $i ) > $i ).
tff(decl_96,type,
c_Wellfounded_Omlex__prod: ( $i * $i * $i ) > $i ).
tff(decl_97,type,
c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
c_List_Osko__Recdef__Xtfl__wf__induct__1__1: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1: ( $i * $i * $i ) > $i ).
tff(decl_100,type,
class_HOL_Ominus: $i > $o ).
tff(decl_101,type,
c_Arrow__Order__Mirabelle_OLin: $i ).
tff(decl_102,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
tff(decl_103,type,
c_fequal: ( $i * $i * $i ) > $o ).
cnf(cls_strict__linear__order__on__diff__Id_0,axiom,
( hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(X1,X2),c_HOL_Ominus__class_Ominus(X3,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool))))
| ~ hBOOL(c_Order__Relation_Olinear__order__on(X1,X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_strict__linear__order__on__diff__Id_0) ).
cnf(cls_rtrancl__empty_0,axiom,
c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1) = c_Relation_OId(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__empty_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_0,negated_conjecture,
hBOOL(c_Order__Relation_Olinear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),v_r,tc_Arrow__Order__Mirabelle_Oalt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_4,axiom,
( hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(X1,X2),c_HOL_Ominus__class_Ominus(X3,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool))))
| ~ hBOOL(c_Order__Relation_Olinear__order__on(X1,X3,X2)) ),
cls_strict__linear__order__on__diff__Id_0 ).
cnf(c_0_5,axiom,
c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1) = c_Relation_OId(X1),
cls_rtrancl__empty_0 ).
cnf(c_0_6,negated_conjecture,
~ hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),X1)),
cls_conjecture_2 ).
cnf(c_0_7,plain,
( hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(X1,X2),c_HOL_Ominus__class_Ominus(X3,c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_fun(tc_prod(X2,X2),tc_bool))))
| ~ hBOOL(c_Order__Relation_Olinear__order__on(X1,X3,X2)) ),
inference(rw,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
hBOOL(c_Order__Relation_Olinear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),v_r,tc_Arrow__Order__Mirabelle_Oalt)),
cls_conjecture_0 ).
cnf(c_0_9,negated_conjecture,
~ hBOOL(c_Order__Relation_Olinear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),X1,tc_Arrow__Order__Mirabelle_Oalt)),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_8,c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT007-1 : 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
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 15:50:45 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 0.20/0.76 % Version : CSE_E---1.5
% 0.20/0.76 % Problem : theBenchmark.p
% 0.20/0.76 % Proof found
% 0.20/0.76 % SZS status Theorem for theBenchmark.p
% 0.20/0.76 % SZS output start Proof
% See solution above
% 0.20/0.77 % Total time : 0.184000 s
% 0.20/0.77 % SZS output end Proof
% 0.20/0.77 % Total time : 0.202000 s
%------------------------------------------------------------------------------