TSTP Solution File: ALG350-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ALG350-1 : 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 : n029.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 10:32:35 EDT 2023
% Result : Unsatisfiable 7.89s 2.84s
% Output : CNFRefutation 8.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 61
% Syntax : Number of formulae : 68 ( 7 unt; 57 typ; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 72 ( 50 >; 22 *; 0 +; 0 <<)
% Number of predicates : 35 ( 34 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 7 con; 0-3 aty)
% Number of variables : 6 (; 6 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_HOL_Oord__class_Oless > hBOOL > class_Ring__and__Field_Oordered__idom > class_Ring__and__Field_Oidom > class_Ring__and__Field_Ocomm__semiring__1 > class_RealVector_Oreal__normed__vector > class_Orderings_Otop > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_Orderings_Obot > class_OrderedGroup_Opordered__cancel__ab__semigroup__add > class_OrderedGroup_Opordered__ab__semigroup__add__imp__le > class_OrderedGroup_Opordered__ab__semigroup__add > class_OrderedGroup_Opordered__ab__group__add__abs > class_OrderedGroup_Opordered__ab__group__add > class_OrderedGroup_Olordered__ab__group__add__meet > class_OrderedGroup_Olordered__ab__group__add__join > class_OrderedGroup_Olordered__ab__group__add__abs > class_OrderedGroup_Olordered__ab__group__add > class_OrderedGroup_Ogroup__add > class_OrderedGroup_Ocomm__monoid__add > class_OrderedGroup_Ocancel__semigroup__add > class_OrderedGroup_Ocancel__ab__semigroup__add > class_OrderedGroup_Oab__semigroup__add > class_OrderedGroup_Oab__group__add > class_Lattices_Oupper__semilattice > class_Lattices_Olower__semilattice > class_Lattices_Olattice > class_Lattices_Odistrib__lattice > class_Lattices_Obounded__lattice > class_Lattices_Oboolean__algebra > class_Int_Onumber__ring > c_Orderings_Oord__class_Omin > c_Orderings_Oord__class_Omax > c_Lattices_Oupper__semilattice__class_Osup > c_Lattices_Olower__semilattice__class_Oinf > c_HOL_Oplus__class_Oplus > c_HOL_Ominus__class_Ominus > hAPP > c_Transcendental_Oexp > c_RealVector_Onorm__class_Onorm > c_HOL_Ouminus__class_Ouminus > c_HOL_Oabs__class_Oabs > c_COMBI > #nlpp > c_Transcendental_Oarctan > c_Orderings_Otop__class_Otop > c_Orderings_Obot__class_Obot > c_NthRoot_Osqrt > v_xa > v_x____ > v_Y____ > v_P > v_L____ > tc_RealDef_Oreal > t_a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_L____,type,
v_L____: $i ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff(class_OrderedGroup_Opordered__ab__semigroup__add,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(class_Int_Onumber__ring,type,
class_Int_Onumber__ring: $i > $o ).
tff(c_HOL_Oord__class_Oless,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(c_Orderings_Otop__class_Otop,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(v_Y____,type,
v_Y____: $i ).
tff(class_OrderedGroup_Ocancel__ab__semigroup__add,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(v_xa,type,
v_xa: $i ).
tff(v_P,type,
v_P: $i ).
tff(v_x____,type,
v_x____: $i ).
tff(class_Lattices_Obounded__lattice,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(class_OrderedGroup_Opordered__ab__group__add__abs,type,
class_OrderedGroup_Opordered__ab__group__add__abs: $i > $o ).
tff(class_Lattices_Olattice,type,
class_Lattices_Olattice: $i > $o ).
tff(class_OrderedGroup_Oab__semigroup__add,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(t_a,type,
t_a: $i ).
tff(class_OrderedGroup_Olordered__ab__group__add__meet,type,
class_OrderedGroup_Olordered__ab__group__add__meet: $i > $o ).
tff(class_OrderedGroup_Olordered__ab__group__add,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
tff(class_Orderings_Opreorder,type,
class_Orderings_Opreorder: $i > $o ).
tff(class_OrderedGroup_Olordered__ab__group__add__join,type,
class_OrderedGroup_Olordered__ab__group__add__join: $i > $o ).
tff(tc_RealDef_Oreal,type,
tc_RealDef_Oreal: $i ).
tff(c_Orderings_Obot__class_Obot,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(c_Lattices_Oupper__semilattice__class_Osup,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(class_Lattices_Oboolean__algebra,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(class_OrderedGroup_Opordered__ab__semigroup__add__imp__le,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(class_Orderings_Otop,type,
class_Orderings_Otop: $i > $o ).
tff(c_Orderings_Oord__class_Omin,type,
c_Orderings_Oord__class_Omin: ( $i * $i * $i ) > $i ).
tff(class_Ring__and__Field_Oordered__idom,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(class_OrderedGroup_Ocancel__semigroup__add,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(class_OrderedGroup_Opordered__cancel__ab__semigroup__add,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(class_OrderedGroup_Ocomm__monoid__add,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(c_COMBI,type,
c_COMBI: ( $i * $i ) > $i ).
tff(c_Orderings_Oord__class_Omax,type,
c_Orderings_Oord__class_Omax: ( $i * $i * $i ) > $i ).
tff(c_NthRoot_Osqrt,type,
c_NthRoot_Osqrt: $i > $i ).
tff(class_Ring__and__Field_Oidom,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(class_RealVector_Oreal__normed__vector,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(c_HOL_Oplus__class_Oplus,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(class_Lattices_Oupper__semilattice,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(c_Transcendental_Oexp,type,
c_Transcendental_Oexp: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(c_RealVector_Onorm__class_Onorm,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Olordered__ab__group__add__abs,type,
class_OrderedGroup_Olordered__ab__group__add__abs: $i > $o ).
tff(class_Lattices_Odistrib__lattice,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(c_HOL_Ouminus__class_Ouminus,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Ogroup__add,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(c_HOL_Oabs__class_Oabs,type,
c_HOL_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(class_Lattices_Olower__semilattice,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(class_Ring__and__Field_Ocomm__semiring__1,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(c_HOL_Ominus__class_Ominus,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(class_Orderings_Obot,type,
class_Orderings_Obot: $i > $o ).
tff(class_OrderedGroup_Opordered__ab__group__add,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(c_Transcendental_Oarctan,type,
c_Transcendental_Oarctan: $i > $i ).
tff(c_Lattices_Olower__semilattice__class_Oinf,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(f_2444,axiom,
hBOOL(hAPP(v_P,v_xa)),
file(unknown,unknown) ).
tff(f_2443,axiom,
! [V_x] :
( c_HOL_Oord__class_Oless(V_x,v_Y____,tc_RealDef_Oreal)
| ~ hBOOL(hAPP(v_P,V_x)) ),
file(unknown,unknown) ).
tff(f_2289,axiom,
! [V_x,V_y] :
( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ),
file(unknown,unknown) ).
tff(f_2446,axiom,
~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
file(unknown,unknown) ).
tff(c_704,plain,
hBOOL(hAPP(v_P,v_xa)),
inference(cnfTransformation,[status(thm)],[f_2444]) ).
tff(c_933,plain,
! [V_x_1182] :
( ~ hBOOL(hAPP(v_P,V_x_1182))
| c_HOL_Oord__class_Oless(V_x_1182,v_Y____,tc_RealDef_Oreal) ),
inference(cnfTransformation,[status(thm)],[f_2443]) ).
tff(c_942,plain,
c_HOL_Oord__class_Oless(v_xa,v_Y____,tc_RealDef_Oreal),
inference(resolution,[status(thm)],[c_704,c_933]) ).
tff(c_1058,plain,
! [V_x_1194,V_y_1195] :
( ~ c_HOL_Oord__class_Oless(V_x_1194,V_y_1195,tc_RealDef_Oreal)
| c_lessequals(V_x_1194,V_y_1195,tc_RealDef_Oreal) ),
inference(cnfTransformation,[status(thm)],[f_2289]) ).
tff(c_706,plain,
~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_2446]) ).
tff(c_1061,plain,
~ c_HOL_Oord__class_Oless(v_xa,v_Y____,tc_RealDef_Oreal),
inference(resolution,[status(thm)],[c_1058,c_706]) ).
tff(c_1065,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_942,c_1061]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG350-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % 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
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 20:41:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 7.89/2.84 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.89/2.84
% 7.89/2.84 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.12/2.87
% 8.12/2.87 Inference rules
% 8.12/2.87 ----------------------
% 8.12/2.87 #Ref : 1
% 8.12/2.87 #Sup : 60
% 8.12/2.87 #Fact : 2
% 8.12/2.87 #Define : 0
% 8.12/2.87 #Split : 0
% 8.12/2.87 #Chain : 0
% 8.12/2.87 #Close : 0
% 8.12/2.87
% 8.12/2.87 Ordering : KBO
% 8.12/2.87
% 8.12/2.87 Simplification rules
% 8.12/2.87 ----------------------
% 8.12/2.87 #Subsume : 57
% 8.12/2.87 #Demod : 8
% 8.12/2.87 #Tautology : 53
% 8.12/2.87 #SimpNegUnit : 0
% 8.12/2.87 #BackRed : 0
% 8.12/2.87
% 8.12/2.87 #Partial instantiations: 0
% 8.12/2.87 #Strategies tried : 1
% 8.12/2.87
% 8.12/2.87 Timing (in seconds)
% 8.12/2.87 ----------------------
% 8.12/2.87 Preprocessing : 1.20
% 8.12/2.87 Parsing : 0.66
% 8.12/2.87 CNF conversion : 0.11
% 8.12/2.87 Main loop : 0.63
% 8.12/2.87 Inferencing : 0.13
% 8.12/2.87 Reduction : 0.24
% 8.12/2.87 Demodulation : 0.15
% 8.12/2.87 BG Simplification : 0.11
% 8.12/2.87 Subsumption : 0.16
% 8.12/2.87 Abstraction : 0.02
% 8.12/2.87 MUC search : 0.00
% 8.12/2.87 Cooper : 0.00
% 8.12/2.87 Total : 1.87
% 8.12/2.87 Index Insertion : 0.00
% 8.12/2.87 Index Deletion : 0.00
% 8.12/2.87 Index Matching : 0.00
% 8.12/2.87 BG Taut test : 0.00
%------------------------------------------------------------------------------