TSTP Solution File: SCT074-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SCT074-1 : 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 : n006.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 14:10:58 EDT 2023
% Result : Unsatisfiable 0.20s 0.72s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 118
% Syntax : Number of formulae : 123 ( 7 unt; 114 typ; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 298 ( 105 >; 193 *; 0 +; 0 <<)
% Number of predicates : 32 ( 31 usr; 1 prp; 0-6 aty)
% Number of functors : 83 ( 83 usr; 9 con; 0-7 aty)
% Number of variables : 6 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(decl_23,type,
tc_prod: ( $i * $i ) > $i ).
tff(decl_24,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_25,type,
c_Relation_ODomain: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_27,type,
hBOOL: $i > $o ).
tff(decl_28,type,
tc_bool: $i ).
tff(decl_29,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_30,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_31,type,
c_Relation_OImage: ( $i * $i * $i * $i ) > $i ).
tff(decl_32,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
class_Orderings_Obot: $i > $o ).
tff(decl_35,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_36,type,
c_Relation_Orel__comp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_38,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_39,type,
c_Transitive__Closure_Ortrancl: ( $i * $i ) > $i ).
tff(decl_40,type,
c_snd: ( $i * $i ) > $i ).
tff(decl_41,type,
c_fst: ( $i * $i ) > $i ).
tff(decl_42,type,
c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
c_Wellfounded_Owf: ( $i * $i ) > $o ).
tff(decl_44,type,
c_Relation_ORange: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_46,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_47,type,
c_Product__Type_OSigma: ( $i * $i * $i * $i ) > $i ).
tff(decl_48,type,
c_Transitive__Closure_Otrancl: ( $i * $i ) > $i ).
tff(decl_49,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_50,type,
c_Relation_OId__on: ( $i * $i ) > $i ).
tff(decl_51,type,
c_Relation_Orefl__on: ( $i * $i * $i ) > $o ).
tff(decl_52,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_53,type,
c_List_Osko__Recdef__Xtfl__wf__induct__1__1: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
c_Equiv__Relations_Oquotient: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
c_Equiv__Relations_Oequiv: ( $i * $i * $i ) > $o ).
tff(decl_56,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_57,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_58,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_59,type,
c_Wellfounded_Oacyclic: ( $i * $i ) > $o ).
tff(decl_60,type,
c_Relation_Osym: ( $i * $i ) > $o ).
tff(decl_61,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_62,type,
c_Relation_Otrans: ( $i * $i ) > $o ).
tff(decl_63,type,
c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
c_Relation_Oconverse: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_66,type,
c_split: ( $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
c_Relation_Oantisym: ( $i * $i ) > $o ).
tff(decl_68,type,
c_Relation_Ototal__on: ( $i * $i * $i ) > $o ).
tff(decl_69,type,
c_Order__Relation_Ostrict__linear__order__on: ( $i * $i * $i ) > $o ).
tff(decl_70,type,
c_Wellfounded_Oacc: ( $i * $i ) > $i ).
tff(decl_71,type,
c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
c_List_Osko__Recdef__Xcuts__eq__1__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_73,type,
c_Recdef_Ocut: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_74,type,
class_HOL_Oord: $i > $o ).
tff(decl_75,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_76,type,
c_Relation_Osingle__valued: ( $i * $i * $i ) > $o ).
tff(decl_77,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_78,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_79,type,
c_Relation_Oirrefl: ( $i * $i ) > $o ).
tff(decl_80,type,
c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
c_Relation_OId: $i > $i ).
tff(decl_85,type,
c_Arrow__Order__Mirabelle_Oabove: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
c_Arrow__Order__Mirabelle_OLin: $i ).
tff(decl_87,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
tff(decl_88,type,
c_Arrow__Order__Mirabelle_Obelow: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
c_Nitpick_Orefl_H: ( $i * $i ) > $o ).
tff(decl_92,type,
c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1: ( $i * $i ) > $i ).
tff(decl_93,type,
c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1: ( $i * $i ) > $i ).
tff(decl_94,type,
v_r: $i ).
tff(decl_95,type,
t_a: $i ).
tff(decl_96,type,
t_b: $i ).
tff(decl_97,type,
c_ATP__Linkup_Osko__Relation__XId__onE__1__1: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1: ( $i * $i ) > $i ).
tff(decl_99,type,
c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1: ( $i * $i ) > $i ).
tff(decl_100,type,
c_ATP__Linkup_Osko__Relation__XIdE__1__1: ( $i * $i ) > $i ).
tff(decl_101,type,
c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1: ( $i * $i ) > $i ).
tff(decl_103,type,
c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
v_sko__Transitive__Closure__Xtrancl__Xcases__1: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_106,type,
c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_107,type,
c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_108,type,
v_sko__Transitive__Closure__Xrtrancl__Xcases__1: ( $i * $i * $i ) > $i ).
tff(decl_109,type,
c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_110,type,
c_FunDef_Oin__rel: ( $i * $i * $i ) > $i ).
tff(decl_111,type,
c_Wellfounded_OwfP: ( $i * $i ) > $o ).
tff(decl_112,type,
c_ATP__Linkup_Osko__Relation__XImageE__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_113,type,
c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1: ( $i * $i * $i ) > $i ).
tff(decl_114,type,
v_sko__Wellfounded__Xacc__Xinducts__1: ( $i * $i ) > $i ).
tff(decl_115,type,
c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1: ( $i * $i * $i ) > $i ).
tff(decl_116,type,
c_ATP__Linkup_Osko__Relation__XImage__iff__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_117,type,
c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1: ( $i * $i * $i ) > $i ).
tff(decl_118,type,
c_Relation_Oinv__image: ( $i * $i * $i * $i ) > $i ).
tff(decl_119,type,
c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1: ( $i * $i * $i ) > $i ).
tff(decl_120,type,
v_sko__Wellfounded__Xacc__Xinduct__1: ( $i * $i ) > $i ).
tff(decl_121,type,
c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1: ( $i * $i * $i ) > $i ).
tff(decl_122,type,
c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1: ( $i * $i * $i ) > $i ).
tff(decl_123,type,
c_Equiv__Relations_Ocongruent: ( $i * $i * $i * $i ) > $o ).
tff(decl_124,type,
c_Equiv__Relations_Ocongruent2: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_125,type,
c_Arrow__Order__Mirabelle_Omkbot: ( $i * $i ) > $i ).
tff(decl_126,type,
c_Arrow__Order__Mirabelle_Omktop: ( $i * $i ) > $i ).
tff(decl_127,type,
v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1: ( $i * $i ) > $i ).
tff(decl_128,type,
c_ATP__Linkup_Osko__Relation__XRangeE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_129,type,
c_ATP__Linkup_Osko__Relation__XDomainE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_130,type,
c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_131,type,
c_ATP__Linkup_Osko__Relation__XRange__iff__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_132,type,
v_Lab____: $i ).
tff(decl_133,type,
v_a____: $i ).
tff(decl_134,type,
v_b____: $i ).
tff(decl_135,type,
c_fequal: ( $i * $i * $i ) > $o ).
cnf(cls_Lin__irrefl_0,axiom,
( ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Lin__irrefl_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_CHAINED_0_01,axiom,
c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
cnf(cls_CHAINED_0,axiom,
c_in(v_Lab____,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(c_0_4,axiom,
( ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
cls_Lin__irrefl_0 ).
cnf(c_0_5,negated_conjecture,
c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
cls_conjecture_0 ).
cnf(c_0_6,axiom,
c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
cls_CHAINED_0_01 ).
cnf(c_0_7,axiom,
c_in(v_Lab____,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
cls_CHAINED_0 ).
cnf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SCT074-1 : 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
% 0.13/0.35 % Computer : n006.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 : Thu Aug 24 16:16:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.72 % Version : CSE_E---1.5
% 0.20/0.72 % Problem : theBenchmark.p
% 0.20/0.72 % Proof found
% 0.20/0.72 % SZS status Theorem for theBenchmark.p
% 0.20/0.72 % SZS output start Proof
% See solution above
% 0.20/0.73 % Total time : 0.111000 s
% 0.20/0.73 % SZS output end Proof
% 0.20/0.73 % Total time : 0.134000 s
%------------------------------------------------------------------------------