TSTP Solution File: LCL822-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL822-1 : 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 : n023.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 06:59:49 EDT 2023
% Result : Unsatisfiable 0.19s 0.59s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 69
% Syntax : Number of formulae : 73 ( 5 unt; 66 typ; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 113 ( 46 >; 67 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-4 aty)
% Number of functors : 51 ( 51 usr; 20 con; 0-6 aty)
% Number of variables : 6 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Transitive__Closure_Ortranclp: ( $i * $i ) > $i ).
tff(decl_23,type,
c_Predicate_Oconversep: ( $i * $i * $i ) > $i ).
tff(decl_24,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_25,type,
hBOOL: $i > $o ).
tff(decl_26,type,
c_List_Olist_ONil: $i > $i ).
tff(decl_27,type,
c_List_Ofoldr: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_28,type,
c_ListOrder_Ostep1: ( $i * $i * $i * $i ) > $o ).
tff(decl_29,type,
c_List_Oappend: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
c_Wellfounded_Oaccp: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
c_Lambda_Obeta: $i ).
tff(decl_32,type,
tc_Lambda_OdB: $i ).
tff(decl_33,type,
c_InductTermi_OIT: $i ).
tff(decl_34,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(decl_35,type,
c_Nat_Osemiring__1__class_Oof__nat: ( $i * $i ) > $i ).
tff(decl_36,type,
c_fequal: $i > $i ).
tff(decl_37,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_38,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_39,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_40,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_41,type,
tc_nat: $i ).
tff(decl_42,type,
tc_List_Olist: $i > $i ).
tff(decl_43,type,
c_Nat_Osize__class_Osize: ( $i * $i ) > $i ).
tff(decl_44,type,
c_Lambda_OdB_OApp: $i ).
tff(decl_45,type,
c_Lambda_OdB_OAbs: $i > $i ).
tff(decl_46,type,
c_List_Ofoldl: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
c_Lambda_Osubst: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
c_Lambda_OdB_OVar: $i > $i ).
tff(decl_50,type,
c_Type_Otyping: $i > $i ).
tff(decl_51,type,
c_Type_Osko__Type__Xtyping__elims__2__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_52,type,
c_Type_Otype_OFun: $i ).
tff(decl_53,type,
c_Type_Osko__Type__Xlist__app__typeD__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_54,type,
tc_Type_Otype: $i ).
tff(decl_55,type,
c_Type_Osko__Type__Xlist__app__typeE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_56,type,
c_Lambda_Olift: ( $i * $i ) > $i ).
tff(decl_57,type,
v_u____: $i ).
tff(decl_58,type,
tc_bool: $i ).
tff(decl_59,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_60,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
c_Type_Otypings: ( $i * $i * $i ) > $o ).
tff(decl_62,type,
c_Type_Osko__Type__Xvar__app__typesE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_63,type,
c_Type_Osko__Type__Xvar__app__types__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_65,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_66,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_67,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_68,type,
v_ua______: $i ).
tff(decl_69,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_70,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_71,type,
c_List_Olistsp: ( $i * $i * $i ) > $o ).
tff(decl_72,type,
c_Type_Oshift: ( $i * $i * $i * $i ) > $i ).
tff(decl_73,type,
v_e____: $i ).
tff(decl_74,type,
v_T____: $i ).
tff(decl_75,type,
c_Ex: $i > $i ).
tff(decl_76,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_77,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_78,type,
c_List_Osko__List__Xin__listsp__conv__set__1__1: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
v_ea______: $i ).
tff(decl_80,type,
v_ia______: $i ).
tff(decl_81,type,
v_n____: $i ).
tff(decl_82,type,
v_rs____: $i ).
tff(decl_83,type,
v_T_Ha______: $i ).
tff(decl_84,type,
v_i____: $i ).
tff(decl_85,type,
v_T_H____: $i ).
tff(decl_86,type,
v_Ts____: $i ).
tff(decl_87,type,
c_COMBC: ( $i * $i * $i * $i * $i * $i ) > $i ).
cnf(cls_lists__typings_0,axiom,
( c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(X1),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),X2,tc_Lambda_OdB)
| ~ c_Type_Otypings(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lists__typings_0) ).
cnf(cls_CHAINED_0,axiom,
c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,v_Ts____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_rs____,tc_Lambda_OdB),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_3,axiom,
( c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(X1),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),X2,tc_Lambda_OdB)
| ~ c_Type_Otypings(X1,X2,X3) ),
cls_lists__typings_0 ).
cnf(c_0_4,axiom,
c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,v_Ts____),
cls_CHAINED_0 ).
cnf(c_0_5,negated_conjecture,
~ c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_rs____,tc_Lambda_OdB),
cls_conjecture_0 ).
cnf(c_0_6,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL822-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n023.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 : Thu Aug 24 20:57:12 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.19/0.59 % Version : CSE_E---1.5
% 0.19/0.59 % Problem : theBenchmark.p
% 0.19/0.59 % Proof found
% 0.19/0.59 % SZS status Theorem for theBenchmark.p
% 0.19/0.59 % SZS output start Proof
% See solution above
% 0.19/0.60 % Total time : 0.032000 s
% 0.19/0.60 % SZS output end Proof
% 0.19/0.60 % Total time : 0.037000 s
%------------------------------------------------------------------------------