TSTP Solution File: LCL764-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL764-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n016.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 : Tue Aug 22 10:48:56 EDT 2023
% Result : Unsatisfiable 5.12s 2.17s
% Output : CNFRefutation 5.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 111
% Syntax : Number of formulae : 114 ( 5 unt; 109 typ; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 201 ( 103 >; 98 *; 0 +; 0 <<)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-5 aty)
% Number of functors : 95 ( 95 usr; 6 con; 0-5 aty)
% Number of variables : 4 (; 4 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_List_Olist__all2 > c_List_Olistrelp > c_ListOrder_Ostep1 > c_List_Omember > c_List_Olistsp > c_List_Olist__ex > c_List_Olist__all > c_List_Onull > c_List_Olinorder__class_Osorted > c_List_Odistinct > hBOOL > class_Orderings_Olinorder > class_Lattices_Olower__semilattice > class_Lattices_Olattice > c_Map_Omap__upds > c_List_Olist_Olist__rec > c_List_Olist_Olist__case > c_List_Ofoldr > c_List_Ofoldl > c_List_Omap > c_List_Olist__update > c_List_Olinorder__class_Osort__key > c_List_Ofiltermap > c_List_Oconcat__map > c_List_Otake > c_List_Osublist > c_List_Osplice > c_List_Osko__List__Xin__listsp__conv__set__1__1 > c_List_Orotate > c_List_Oremove1 > c_List_Olist__inter > c_List_Olist_OCons > c_List_Ofilter > c_List_OdropWhile > c_List_Odrop > c_List_Oappend > c_Lattices_Olower__semilattice__class_Oinf > v_sko__List__Xlistsp__Xinducts__2 > v_sko__List__Xlistsp__Xinducts__1 > v_sko__List__Xlistsp__Xinduct__2 > v_sko__List__Xlistsp__Xinduct__1 > v_sko__List__Xlistsp__Xcases__2 > v_sko__List__Xlistsp__Xcases__1 > tc_fun > hAPP > c_List_Otl > c_List_Osko__List__Xrev__induct__1__2 > c_List_Osko__List__Xrev__induct__1__1 > c_List_Orotate1 > c_List_Orev > c_List_Oremdups > c_List_Ohd > c_Lambda_Olift > #nlpp > v_sko__List__Xzip__Xinduct__2 > v_sko__List__Xzip__Xinduct__1 > v_sko__List__Xtl__Xinduct__2 > v_sko__List__Xtl__Xinduct__1 > v_sko__List__Xtake__Xinduct__2 > v_sko__List__Xtake__Xinduct__1 > v_sko__List__XtakeWhile__Xinduct__2 > v_sko__List__XtakeWhile__Xinduct__1 > v_sko__List__Xsplice__Xinduct__2 > v_sko__List__Xsplice__Xinduct__1 > v_sko__List__Xset__Xinduct__2 > v_sko__List__Xset__Xinduct__1 > v_sko__List__Xrev__Xinduct__2 > v_sko__List__Xrev__Xinduct__1 > v_sko__List__XremoveAll__Xinduct__2 > v_sko__List__XremoveAll__Xinduct__1 > v_sko__List__Xremove1__Xinduct__2 > v_sko__List__Xremove1__Xinduct__1 > v_sko__List__Xremdups__Xinduct__2 > v_sko__List__Xremdups__Xinduct__1 > v_sko__List__Xmap__Xinduct__2 > v_sko__List__Xmap__Xinduct__1 > v_sko__List__Xlistsum__Xinduct__2 > v_sko__List__Xlistsum__Xinduct__1 > v_sko__List__Xlistset__Xinduct__2 > v_sko__List__Xlistset__Xinduct__1 > v_sko__List__Xlist__update__Xinduct__2 > v_sko__List__Xlist__update__Xinduct__1 > v_sko__List__Xlist__Xinducts__2 > v_sko__List__Xlist__Xinducts__1 > v_sko__List__Xlist__Xinduct__2 > v_sko__List__Xlist__Xinduct__1 > v_sko__List__Xlast__Xinduct__2 > v_sko__List__Xlast__Xinduct__1 > v_sko__List__Xhd__Xinduct__2 > v_sko__List__Xhd__Xinduct__1 > v_sko__List__Xfoldl__Xinduct__2 > v_sko__List__Xfoldl__Xinduct__1 > v_sko__List__Xdrop__Xinduct__2 > v_sko__List__Xdrop__Xinduct__1 > v_sko__List__XdropWhile__Xinduct__2 > v_sko__List__XdropWhile__Xinduct__1 > v_sko__List__Xdistinct__Xinduct__2 > v_sko__List__Xdistinct__Xinduct__1 > v_sko__List__Xconcat__Xinduct__2 > v_sko__List__Xconcat__Xinduct__1 > c_fequal > c_Suc > c_List_Olist_ONil > c_Lambda_OdB_OAbs > tc_nat > tc_bool > tc_Lambda_OdB > t_b > t_a > c_InductTermi_OIT
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_List_Olist__inter,type,
c_List_Olist__inter: ( $i * $i * $i ) > $i ).
tff(c_Lambda_Olift,type,
c_Lambda_Olift: ( $i * $i ) > $i ).
tff(c_List_Ofiltermap,type,
c_List_Ofiltermap: ( $i * $i * $i * $i ) > $i ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff(c_List_Omember,type,
c_List_Omember: ( $i * $i * $i ) > $o ).
tff(c_List_Olist_ONil,type,
c_List_Olist_ONil: $i > $i ).
tff(v_sko__List__Xlistsp__Xcases__1,type,
v_sko__List__Xlistsp__Xcases__1: ( $i * $i ) > $i ).
tff(c_List_Odistinct,type,
c_List_Odistinct: ( $i * $i ) > $o ).
tff(c_fequal,type,
c_fequal: $i > $i ).
tff(v_sko__List__XtakeWhile__Xinduct__2,type,
v_sko__List__XtakeWhile__Xinduct__2: $i > $i ).
tff(c_List_Oappend,type,
c_List_Oappend: ( $i * $i * $i ) > $i ).
tff(v_sko__List__Xlistsp__Xinducts__1,type,
v_sko__List__Xlistsp__Xinducts__1: ( $i * $i ) > $i ).
tff(c_List_Oconcat__map,type,
c_List_Oconcat__map: ( $i * $i * $i * $i ) > $i ).
tff(c_List_Onull,type,
c_List_Onull: ( $i * $i ) > $o ).
tff(c_List_Ofilter,type,
c_List_Ofilter: ( $i * $i * $i ) > $i ).
tff(c_List_OdropWhile,type,
c_List_OdropWhile: ( $i * $i * $i ) > $i ).
tff(v_sko__List__Xremove1__Xinduct__1,type,
v_sko__List__Xremove1__Xinduct__1: $i > $i ).
tff(v_sko__List__Xremdups__Xinduct__2,type,
v_sko__List__Xremdups__Xinduct__2: $i > $i ).
tff(class_Lattices_Olattice,type,
class_Lattices_Olattice: $i > $o ).
tff(c_List_Orev,type,
c_List_Orev: ( $i * $i ) > $i ).
tff(c_List_Olist__all,type,
c_List_Olist__all: ( $i * $i * $i ) > $o ).
tff(v_sko__List__Xconcat__Xinduct__1,type,
v_sko__List__Xconcat__Xinduct__1: $i > $i ).
tff(v_sko__List__Xdrop__Xinduct__1,type,
v_sko__List__Xdrop__Xinduct__1: $i > $i ).
tff(v_sko__List__Xsplice__Xinduct__2,type,
v_sko__List__Xsplice__Xinduct__2: $i > $i ).
tff(v_sko__List__Xtl__Xinduct__1,type,
v_sko__List__Xtl__Xinduct__1: $i > $i ).
tff(c_Map_Omap__upds,type,
c_Map_Omap__upds: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_sko__List__Xlistsum__Xinduct__2,type,
v_sko__List__Xlistsum__Xinduct__2: $i > $i ).
tff(v_sko__List__Xmap__Xinduct__1,type,
v_sko__List__Xmap__Xinduct__1: $i > $i ).
tff(v_sko__List__Xlast__Xinduct__2,type,
v_sko__List__Xlast__Xinduct__2: $i > $i ).
tff(c_InductTermi_OIT,type,
c_InductTermi_OIT: $i ).
tff(t_a,type,
t_a: $i ).
tff(v_sko__List__Xdistinct__Xinduct__2,type,
v_sko__List__Xdistinct__Xinduct__2: $i > $i ).
tff(c_List_Osko__List__Xrev__induct__1__1,type,
c_List_Osko__List__Xrev__induct__1__1: ( $i * $i ) > $i ).
tff(v_sko__List__Xlistset__Xinduct__2,type,
v_sko__List__Xlistset__Xinduct__2: $i > $i ).
tff(c_List_Ofoldl,type,
c_List_Ofoldl: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_sko__List__Xlist__Xinducts__1,type,
v_sko__List__Xlist__Xinducts__1: $i > $i ).
tff(c_List_Olistsp,type,
c_List_Olistsp: ( $i * $i * $i ) > $o ).
tff(v_sko__List__XremoveAll__Xinduct__1,type,
v_sko__List__XremoveAll__Xinduct__1: $i > $i ).
tff(v_sko__List__Xtake__Xinduct__1,type,
v_sko__List__Xtake__Xinduct__1: $i > $i ).
tff(v_sko__List__Xfoldl__Xinduct__1,type,
v_sko__List__Xfoldl__Xinduct__1: $i > $i ).
tff(v_sko__List__Xlistsum__Xinduct__1,type,
v_sko__List__Xlistsum__Xinduct__1: $i > $i ).
tff(c_List_Otl,type,
c_List_Otl: ( $i * $i ) > $i ).
tff(c_ListOrder_Ostep1,type,
c_ListOrder_Ostep1: ( $i * $i * $i * $i ) > $o ).
tff(v_sko__List__XdropWhile__Xinduct__2,type,
v_sko__List__XdropWhile__Xinduct__2: $i > $i ).
tff(c_List_Ofoldr,type,
c_List_Ofoldr: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_sko__List__Xhd__Xinduct__1,type,
v_sko__List__Xhd__Xinduct__1: $i > $i ).
tff(c_List_Osko__List__Xin__listsp__conv__set__1__1,type,
c_List_Osko__List__Xin__listsp__conv__set__1__1: ( $i * $i * $i ) > $i ).
tff(v_sko__List__Xlast__Xinduct__1,type,
v_sko__List__Xlast__Xinduct__1: $i > $i ).
tff(c_List_Olist__ex,type,
c_List_Olist__ex: ( $i * $i * $i ) > $o ).
tff(c_List_Oremdups,type,
c_List_Oremdups: ( $i * $i ) > $i ).
tff(v_sko__List__Xsplice__Xinduct__1,type,
v_sko__List__Xsplice__Xinduct__1: $i > $i ).
tff(c_Suc,type,
c_Suc: $i > $i ).
tff(c_List_Olinorder__class_Osorted,type,
c_List_Olinorder__class_Osorted: ( $i * $i ) > $o ).
tff(v_sko__List__Xlistsp__Xinducts__2,type,
v_sko__List__Xlistsp__Xinducts__2: ( $i * $i ) > $i ).
tff(v_sko__List__Xlistset__Xinduct__1,type,
v_sko__List__Xlistset__Xinduct__1: $i > $i ).
tff(c_Lambda_OdB_OAbs,type,
c_Lambda_OdB_OAbs: $i > $i ).
tff(v_sko__List__Xset__Xinduct__2,type,
v_sko__List__Xset__Xinduct__2: $i > $i ).
tff(c_List_Olist__update,type,
c_List_Olist__update: ( $i * $i * $i * $i ) > $i ).
tff(tc_nat,type,
tc_nat: $i ).
tff(c_List_Oremove1,type,
c_List_Oremove1: ( $i * $i * $i ) > $i ).
tff(v_sko__List__Xlist__update__Xinduct__1,type,
v_sko__List__Xlist__update__Xinduct__1: $i > $i ).
tff(v_sko__List__XdropWhile__Xinduct__1,type,
v_sko__List__XdropWhile__Xinduct__1: $i > $i ).
tff(v_sko__List__Xlistsp__Xinduct__2,type,
v_sko__List__Xlistsp__Xinduct__2: ( $i * $i ) > $i ).
tff(v_sko__List__Xtake__Xinduct__2,type,
v_sko__List__Xtake__Xinduct__2: $i > $i ).
tff(tc_fun,type,
tc_fun: ( $i * $i ) > $i ).
tff(v_sko__List__Xlist__update__Xinduct__2,type,
v_sko__List__Xlist__update__Xinduct__2: $i > $i ).
tff(v_sko__List__Xdrop__Xinduct__2,type,
v_sko__List__Xdrop__Xinduct__2: $i > $i ).
tff(c_List_Olist__all2,type,
c_List_Olist__all2: ( $i * $i * $i * $i * $i ) > $o ).
tff(tc_bool,type,
tc_bool: $i ).
tff(c_List_Olist_Olist__case,type,
c_List_Olist_Olist__case: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_List_Osplice,type,
c_List_Osplice: ( $i * $i * $i ) > $i ).
tff(c_List_Orotate,type,
c_List_Orotate: ( $i * $i * $i ) > $i ).
tff(v_sko__List__Xtl__Xinduct__2,type,
v_sko__List__Xtl__Xinduct__2: $i > $i ).
tff(c_List_Osublist,type,
c_List_Osublist: ( $i * $i * $i ) > $i ).
tff(tc_Lambda_OdB,type,
tc_Lambda_OdB: $i ).
tff(v_sko__List__Xconcat__Xinduct__2,type,
v_sko__List__Xconcat__Xinduct__2: $i > $i ).
tff(v_sko__List__Xremove1__Xinduct__2,type,
v_sko__List__Xremove1__Xinduct__2: $i > $i ).
tff(v_sko__List__Xzip__Xinduct__1,type,
v_sko__List__Xzip__Xinduct__1: $i > $i ).
tff(v_sko__List__Xlistsp__Xcases__2,type,
v_sko__List__Xlistsp__Xcases__2: ( $i * $i ) > $i ).
tff(v_sko__List__Xlistsp__Xinduct__1,type,
v_sko__List__Xlistsp__Xinduct__1: ( $i * $i ) > $i ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(c_List_Odrop,type,
c_List_Odrop: ( $i * $i * $i ) > $i ).
tff(v_sko__List__Xfoldl__Xinduct__2,type,
v_sko__List__Xfoldl__Xinduct__2: $i > $i ).
tff(v_sko__List__Xlist__Xinduct__2,type,
v_sko__List__Xlist__Xinduct__2: $i > $i ).
tff(v_sko__List__Xzip__Xinduct__2,type,
v_sko__List__Xzip__Xinduct__2: $i > $i ).
tff(c_List_Olist_OCons,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(c_List_Ohd,type,
c_List_Ohd: ( $i * $i ) > $i ).
tff(v_sko__List__Xremdups__Xinduct__1,type,
v_sko__List__Xremdups__Xinduct__1: $i > $i ).
tff(class_Lattices_Olower__semilattice,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(c_List_Orotate1,type,
c_List_Orotate1: ( $i * $i ) > $i ).
tff(c_List_Olinorder__class_Osort__key,type,
c_List_Olinorder__class_Osort__key: ( $i * $i * $i * $i ) > $i ).
tff(v_sko__List__Xrev__Xinduct__2,type,
v_sko__List__Xrev__Xinduct__2: $i > $i ).
tff(v_sko__List__Xdistinct__Xinduct__1,type,
v_sko__List__Xdistinct__Xinduct__1: $i > $i ).
tff(c_List_Olist_Olist__rec,type,
c_List_Olist_Olist__rec: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_sko__List__Xrev__Xinduct__1,type,
v_sko__List__Xrev__Xinduct__1: $i > $i ).
tff(c_List_Otake,type,
c_List_Otake: ( $i * $i * $i ) > $i ).
tff(v_sko__List__Xlist__Xinduct__1,type,
v_sko__List__Xlist__Xinduct__1: $i > $i ).
tff(t_b,type,
t_b: $i ).
tff(v_sko__List__XremoveAll__Xinduct__2,type,
v_sko__List__XremoveAll__Xinduct__2: $i > $i ).
tff(v_sko__List__Xmap__Xinduct__2,type,
v_sko__List__Xmap__Xinduct__2: $i > $i ).
tff(c_Lattices_Olower__semilattice__class_Oinf,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(v_sko__List__Xlist__Xinducts__2,type,
v_sko__List__Xlist__Xinducts__2: $i > $i ).
tff(c_List_Osko__List__Xrev__induct__1__2,type,
c_List_Osko__List__Xrev__induct__1__2: ( $i * $i ) > $i ).
tff(v_sko__List__XtakeWhile__Xinduct__1,type,
v_sko__List__XtakeWhile__Xinduct__1: $i > $i ).
tff(v_sko__List__Xhd__Xinduct__2,type,
v_sko__List__Xhd__Xinduct__2: $i > $i ).
tff(v_sko__List__Xset__Xinduct__1,type,
v_sko__List__Xset__Xinduct__1: $i > $i ).
tff(c_List_Olistrelp,type,
c_List_Olistrelp: ( $i * $i * $i * $i ) > $o ).
tff(c_List_Omap,type,
c_List_Omap: ( $i * $i * $i * $i ) > $i ).
tff(f_1521,axiom,
! [V_A,T_a] : c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a),
file(unknown,unknown) ).
tff(f_1523,axiom,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
file(unknown,unknown) ).
tff(c_638,plain,
! [V_A_1029,T_a_1030] : c_List_Olistsp(V_A_1029,c_List_Olist_ONil(T_a_1030),T_a_1030),
inference(cnfTransformation,[status(thm)],[f_1521]) ).
tff(c_640,plain,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
inference(cnfTransformation,[status(thm)],[f_1523]) ).
tff(c_660,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_638,c_640]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL764-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.17/0.35 % Computer : n016.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 3 14:19:52 EDT 2023
% 0.17/0.35 % CPUTime :
% 5.12/2.17 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.12/2.18
% 5.12/2.18 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.12/2.20
% 5.12/2.20 Inference rules
% 5.12/2.20 ----------------------
% 5.12/2.20 #Ref : 0
% 5.12/2.20 #Sup : 0
% 5.12/2.20 #Fact : 0
% 5.12/2.20 #Define : 0
% 5.12/2.20 #Split : 0
% 5.12/2.20 #Chain : 0
% 5.12/2.20 #Close : 0
% 5.12/2.20
% 5.12/2.20 Ordering : KBO
% 5.12/2.20
% 5.12/2.20 Simplification rules
% 5.12/2.20 ----------------------
% 5.12/2.20 #Subsume : 328
% 5.12/2.20 #Demod : 1
% 5.12/2.20 #Tautology : 0
% 5.12/2.20 #SimpNegUnit : 0
% 5.12/2.20 #BackRed : 0
% 5.12/2.20
% 5.12/2.20 #Partial instantiations: 0
% 5.12/2.20 #Strategies tried : 1
% 5.12/2.20
% 5.12/2.20 Timing (in seconds)
% 5.12/2.20 ----------------------
% 5.12/2.20 Preprocessing : 1.05
% 5.12/2.20 Parsing : 0.58
% 5.12/2.20 CNF conversion : 0.09
% 5.12/2.20 Main loop : 0.09
% 5.12/2.20 Inferencing : 0.00
% 5.12/2.20 Reduction : 0.04
% 5.12/2.20 Demodulation : 0.03
% 5.12/2.21 BG Simplification : 0.08
% 5.12/2.21 Subsumption : 0.04
% 5.12/2.21 Abstraction : 0.02
% 5.12/2.21 MUC search : 0.00
% 5.12/2.21 Cooper : 0.00
% 5.12/2.21 Total : 1.18
% 5.12/2.21 Index Insertion : 0.00
% 5.12/2.21 Index Deletion : 0.00
% 5.12/2.21 Index Matching : 0.00
% 5.12/2.21 BG Taut test : 0.00
%------------------------------------------------------------------------------