TSTP Solution File: LCL858-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL858-1 : 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 : n031.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 06:59:59 EDT 2023
% Result : Unsatisfiable 0.20s 0.61s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 51
% Syntax : Number of formulae : 55 ( 5 unt; 48 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 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 90 ( 39 >; 51 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 40 ( 40 usr; 9 con; 0-5 aty)
% Number of variables : 2 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_ListOrder_Ostep1: ( $i * $i ) > $i ).
tff(decl_23,type,
c_List_Olist_OCons: ( $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_Ofoldl: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_28,type,
tc_List_Olist: $i > $i ).
tff(decl_29,type,
c_Wellfounded_Oaccp: ( $i * $i ) > $i ).
tff(decl_30,type,
c_Type_Otype_OFun: ( $i * $i ) > $i ).
tff(decl_31,type,
c_Lambda_OdB_OApp: $i ).
tff(decl_32,type,
c_Type_Otyping: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
tc_Type_Otype: $i ).
tff(decl_34,type,
c_Type_Oshift: ( $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
c_Lambda_Olift: ( $i * $i ) > $i ).
tff(decl_36,type,
c_Lambda_Obeta: $i ).
tff(decl_37,type,
tc_Lambda_OdB: $i ).
tff(decl_38,type,
c_Transitive__Closure_Ortranclp: ( $i * $i ) > $i ).
tff(decl_39,type,
c_Lambda_Osubst: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
c_Lambda_OdB_OVar: $i > $i ).
tff(decl_42,type,
c_Lambda_OdB_OAbs: $i > $i ).
tff(decl_43,type,
tc_nat: $i ).
tff(decl_44,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_45,type,
c_List_Olistsp: ( $i * $i * $i ) > $o ).
tff(decl_46,type,
c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
c_InductTermi_OIT: $i ).
tff(decl_48,type,
tc_bool: $i ).
tff(decl_49,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_50,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
c_Transitive__Closure_Otranclp: ( $i * $i ) > $i ).
tff(decl_52,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_53,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_55,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_56,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_57,type,
c_Predicate_Opred__comp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_58,type,
c_Wellfounded_OwfP: ( $i * $i ) > $o ).
tff(decl_59,type,
c_fequal: $i > $i ).
tff(decl_60,type,
c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1: ( $i * $i * $i ) > $i ).
tff(decl_62,type,
c_Predicate_Oconversep: ( $i * $i * $i ) > $i ).
tff(decl_63,type,
c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
v_sko__Wellfounded__Xaccp__Xinducts__1: ( $i * $i ) > $i ).
tff(decl_65,type,
t_a: $i ).
tff(decl_66,type,
v_sko__Wellfounded__Xaccp__Xinduct__1: ( $i * $i ) > $i ).
tff(decl_67,type,
c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
v_t: $i ).
cnf(cls_conjecture_0,negated_conjecture,
~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_IT__implies__termi_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X1))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IT__implies__termi_0) ).
cnf(cls_CHAINED_0,axiom,
hBOOL(hAPP(c_InductTermi_OIT,v_t)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(c_0_3,negated_conjecture,
~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)),
cls_conjecture_0 ).
cnf(c_0_4,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X1))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
cls_IT__implies__termi_0 ).
cnf(c_0_5,axiom,
hBOOL(hAPP(c_InductTermi_OIT,v_t)),
cls_CHAINED_0 ).
cnf(c_0_6,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL858-1 : 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 : n031.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 : Fri Aug 25 05:13:21 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.61 % Version : CSE_E---1.5
% 0.20/0.61 % Problem : theBenchmark.p
% 0.20/0.61 % Proof found
% 0.20/0.61 % SZS status Theorem for theBenchmark.p
% 0.20/0.61 % SZS output start Proof
% See solution above
% 0.20/0.62 % Total time : 0.025000 s
% 0.20/0.62 % SZS output end Proof
% 0.20/0.62 % Total time : 0.033000 s
%------------------------------------------------------------------------------