TSTP Solution File: ANA043-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ANA043-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n020.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 10:32:53 EDT 2023
% Result : Unsatisfiable 5.87s 2.54s
% Output : CNFRefutation 6.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 25
% Syntax : Number of formulae : 46 ( 14 unt; 16 typ; 0 def)
% Number of atoms : 56 ( 2 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 61 ( 35 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 13 >; 7 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 38 (; 38 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > class_Ring__and__Field_Opordered__semiring > class_Ring__and__Field_Oordered__idom > class_OrderedGroup_Olordered__ab__group__abs > class_OrderedGroup_Oab__semigroup__mult > c_times > v_l > v_k > c_HOL_Oabs > #nlpp > v_xa > v_x > v_h > v_f > v_c > t_b > c_0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_xa,type,
v_xa: $i > $i ).
tff(v_k,type,
v_k: ( $i * $i ) > $i ).
tff(v_c,type,
v_c: $i ).
tff(v_h,type,
v_h: $i > $i ).
tff(class_OrderedGroup_Olordered__ab__group__abs,type,
class_OrderedGroup_Olordered__ab__group__abs: $i > $o ).
tff(class_OrderedGroup_Oab__semigroup__mult,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(v_l,type,
v_l: ( $i * $i ) > $i ).
tff(c_HOL_Oabs,type,
c_HOL_Oabs: ( $i * $i ) > $i ).
tff(c_0,type,
c_0: $i ).
tff(c_times,type,
c_times: ( $i * $i * $i ) > $i ).
tff(class_Ring__and__Field_Oordered__idom,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(class_Ring__and__Field_Opordered__semiring,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(v_x,type,
v_x: $i > $i ).
tff(v_f,type,
v_f: $i > $i ).
tff(t_b,type,
t_b: $i ).
tff(f_31,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file(unknown,unknown) ).
tff(f_67,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_OrderedGroup_Olordered__ab__group__abs(T) ),
file(unknown,unknown) ).
tff(f_36,axiom,
! [T_a,V_a] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)
| c_lessequals(c_0,c_HOL_Oabs(V_a,T_a),T_a) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [V_U] : c_lessequals(c_HOL_Oabs(v_f(V_U),t_b),c_times(v_c,c_HOL_Oabs(v_h(V_U),t_b),t_b),t_b),
file(unknown,unknown) ).
tff(f_62,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_Ring__and__Field_Opordered__semiring(T) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_OrderedGroup_Oab__semigroup__mult(T) ),
file(unknown,unknown) ).
tff(f_41,axiom,
! [T_a,V_a,V_b,V_c] :
( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
| ( c_times(V_a,c_times(V_b,V_c,T_a),T_a) = c_times(V_b,c_times(V_a,V_c,T_a),T_a) ) ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [T_a,V_a,V_b,V_c] :
( ~ class_Ring__and__Field_Opordered__semiring(T_a)
| ~ c_lessequals(V_a,V_b,T_a)
| ~ c_lessequals(c_0,V_c,T_a)
| c_lessequals(c_times(V_c,V_a,T_a),c_times(V_c,V_b,T_a),T_a) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [V_U] : ~ c_lessequals(c_times(c_HOL_Oabs(v_l(v_x(V_U),v_xa(V_U)),t_b),c_HOL_Oabs(v_f(v_k(v_x(V_U),v_xa(V_U))),t_b),t_b),c_times(V_U,c_times(c_HOL_Oabs(v_l(v_x(V_U),v_xa(V_U)),t_b),c_HOL_Oabs(v_h(v_k(v_x(V_U),v_xa(V_U))),t_b),t_b),t_b),t_b),
file(unknown,unknown) ).
tff(c_6,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_20,plain,
! [T_17] :
( class_OrderedGroup_Olordered__ab__group__abs(T_17)
| ~ class_Ring__and__Field_Oordered__idom(T_17) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_24,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[status(thm)],[c_6,c_20]) ).
tff(c_8,plain,
! [V_a_4,T_a_3] :
( c_lessequals(c_0,c_HOL_Oabs(V_a_4,T_a_3),T_a_3)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T_a_3) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_2,plain,
! [V_U_1] : c_lessequals(c_HOL_Oabs(v_f(V_U_1),t_b),c_times(v_c,c_HOL_Oabs(v_h(V_U_1),t_b),t_b),t_b),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_16,plain,
! [T_14] :
( class_Ring__and__Field_Opordered__semiring(T_14)
| ~ class_Ring__and__Field_Oordered__idom(T_14) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_25,plain,
! [T_18] :
( class_OrderedGroup_Oab__semigroup__mult(T_18)
| ~ class_Ring__and__Field_Oordered__idom(T_18) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_29,plain,
class_OrderedGroup_Oab__semigroup__mult(t_b),
inference(resolution,[status(thm)],[c_6,c_25]) ).
tff(c_10,plain,
! [V_b_7,V_a_6,V_c_8,T_a_5] :
( ( c_times(V_b_7,c_times(V_a_6,V_c_8,T_a_5),T_a_5) = c_times(V_a_6,c_times(V_b_7,V_c_8,T_a_5),T_a_5) )
| ~ class_OrderedGroup_Oab__semigroup__mult(T_a_5) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_89,plain,
! [V_c_26,V_a_27,T_a_28,V_b_29] :
( c_lessequals(c_times(V_c_26,V_a_27,T_a_28),c_times(V_c_26,V_b_29,T_a_28),T_a_28)
| ~ c_lessequals(c_0,V_c_26,T_a_28)
| ~ c_lessequals(V_a_27,V_b_29,T_a_28)
| ~ class_Ring__and__Field_Opordered__semiring(T_a_28) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_863,plain,
! [V_a_51,V_c_55,V_a_52,V_b_53,T_a_54] :
( c_lessequals(c_times(V_a_52,V_a_51,T_a_54),c_times(V_b_53,c_times(V_a_52,V_c_55,T_a_54),T_a_54),T_a_54)
| ~ c_lessequals(c_0,V_a_52,T_a_54)
| ~ c_lessequals(V_a_51,c_times(V_b_53,V_c_55,T_a_54),T_a_54)
| ~ class_Ring__and__Field_Opordered__semiring(T_a_54)
| ~ class_OrderedGroup_Oab__semigroup__mult(T_a_54) ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_89]) ).
tff(c_4,plain,
! [V_U_2] : ~ c_lessequals(c_times(c_HOL_Oabs(v_l(v_x(V_U_2),v_xa(V_U_2)),t_b),c_HOL_Oabs(v_f(v_k(v_x(V_U_2),v_xa(V_U_2))),t_b),t_b),c_times(V_U_2,c_times(c_HOL_Oabs(v_l(v_x(V_U_2),v_xa(V_U_2)),t_b),c_HOL_Oabs(v_h(v_k(v_x(V_U_2),v_xa(V_U_2))),t_b),t_b),t_b),t_b),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_867,plain,
! [V_b_53] :
( ~ c_lessequals(c_0,c_HOL_Oabs(v_l(v_x(V_b_53),v_xa(V_b_53)),t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_f(v_k(v_x(V_b_53),v_xa(V_b_53))),t_b),c_times(V_b_53,c_HOL_Oabs(v_h(v_k(v_x(V_b_53),v_xa(V_b_53))),t_b),t_b),t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b)
| ~ class_OrderedGroup_Oab__semigroup__mult(t_b) ),
inference(resolution,[status(thm)],[c_863,c_4]) ).
tff(c_942,plain,
! [V_b_53] :
( ~ c_lessequals(c_0,c_HOL_Oabs(v_l(v_x(V_b_53),v_xa(V_b_53)),t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_f(v_k(v_x(V_b_53),v_xa(V_b_53))),t_b),c_times(V_b_53,c_HOL_Oabs(v_h(v_k(v_x(V_b_53),v_xa(V_b_53))),t_b),t_b),t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(demodulation,[status(thm),theory(equality)],[c_29,c_867]) ).
tff(c_2025,plain,
~ class_Ring__and__Field_Opordered__semiring(t_b),
inference(splitLeft,[status(thm)],[c_942]) ).
tff(c_2028,plain,
~ class_Ring__and__Field_Oordered__idom(t_b),
inference(resolution,[status(thm)],[c_16,c_2025]) ).
tff(c_2032,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2028]) ).
tff(c_2035,plain,
! [V_b_68] :
( ~ c_lessequals(c_0,c_HOL_Oabs(v_l(v_x(V_b_68),v_xa(V_b_68)),t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_f(v_k(v_x(V_b_68),v_xa(V_b_68))),t_b),c_times(V_b_68,c_HOL_Oabs(v_h(v_k(v_x(V_b_68),v_xa(V_b_68))),t_b),t_b),t_b) ),
inference(splitRight,[status(thm)],[c_942]) ).
tff(c_2040,plain,
~ c_lessequals(c_0,c_HOL_Oabs(v_l(v_x(v_c),v_xa(v_c)),t_b),t_b),
inference(resolution,[status(thm)],[c_2,c_2035]) ).
tff(c_2043,plain,
~ class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[status(thm)],[c_8,c_2040]) ).
tff(c_2047,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_2043]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : ANA043-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.19/0.36 % Computer : n020.cluster.edu
% 0.19/0.36 % Model : x86_64 x86_64
% 0.19/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36 % Memory : 8042.1875MB
% 0.19/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Thu Aug 3 15:29:52 EDT 2023
% 0.19/0.36 % CPUTime :
% 5.87/2.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.87/2.55
% 5.87/2.55 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.31/2.58
% 6.31/2.58 Inference rules
% 6.31/2.58 ----------------------
% 6.31/2.58 #Ref : 0
% 6.31/2.58 #Sup : 634
% 6.31/2.58 #Fact : 0
% 6.31/2.58 #Define : 0
% 6.31/2.58 #Split : 1
% 6.31/2.58 #Chain : 0
% 6.31/2.58 #Close : 0
% 6.31/2.58
% 6.31/2.58 Ordering : KBO
% 6.31/2.58
% 6.31/2.58 Simplification rules
% 6.31/2.58 ----------------------
% 6.31/2.58 #Subsume : 95
% 6.31/2.58 #Demod : 3
% 6.31/2.58 #Tautology : 40
% 6.31/2.58 #SimpNegUnit : 0
% 6.31/2.58 #BackRed : 0
% 6.31/2.58
% 6.31/2.58 #Partial instantiations: 0
% 6.31/2.58 #Strategies tried : 1
% 6.31/2.58
% 6.31/2.58 Timing (in seconds)
% 6.31/2.58 ----------------------
% 6.31/2.58 Preprocessing : 0.49
% 6.31/2.58 Parsing : 0.26
% 6.31/2.58 CNF conversion : 0.03
% 6.31/2.59 Main loop : 0.96
% 6.31/2.59 Inferencing : 0.46
% 6.31/2.59 Reduction : 0.18
% 6.31/2.59 Demodulation : 0.13
% 6.31/2.59 BG Simplification : 0.09
% 6.31/2.59 Subsumption : 0.16
% 6.31/2.59 Abstraction : 0.08
% 6.31/2.59 MUC search : 0.00
% 6.31/2.59 Cooper : 0.00
% 6.31/2.59 Total : 1.50
% 6.31/2.59 Index Insertion : 0.00
% 6.31/2.59 Index Deletion : 0.00
% 6.31/2.59 Index Matching : 0.00
% 6.31/2.59 BG Taut test : 0.00
%------------------------------------------------------------------------------