TSTP Solution File: ANA020-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ANA020-2 : 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 : n022.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 10:32:48 EDT 2023
% Result : Unsatisfiable 2.82s 1.67s
% Output : CNFRefutation 2.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 26
% Syntax : Number of formulae : 55 ( 24 unt; 14 typ; 0 def)
% Number of atoms : 65 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 61 ( 37 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 10 >; 7 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 24 (; 24 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_less > class_Ring__and__Field_Opordered__cancel__semiring > class_Ring__and__Field_Oordered__idom > class_Orderings_Oorder > class_OrderedGroup_Olordered__ab__group__abs > c_times > c_HOL_Oabs > #nlpp > v_h > v_f > v_x > v_c > t_a > c_0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $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(t_a,type,
t_a: $i ).
tff(class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
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__cancel__semiring,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(c_less,type,
c_less: ( $i * $i * $i ) > $o ).
tff(v_f,type,
v_f: $i > $i ).
tff(f_31,axiom,
class_Ring__and__Field_Oordered__idom(t_a),
file(unknown,unknown) ).
tff(f_75,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_OrderedGroup_Olordered__ab__group__abs(T) ),
file(unknown,unknown) ).
tff(f_41,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_70,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_Orderings_Oorder(T) ),
file(unknown,unknown) ).
tff(f_27,axiom,
c_less(c_0,v_c,t_a),
file(unknown,unknown) ).
tff(f_49,axiom,
! [T_a,V_x,V_y] :
( ~ class_Orderings_Oorder(T_a)
| ~ c_less(V_x,V_y,T_a)
| c_lessequals(V_x,V_y,T_a) ),
file(unknown,unknown) ).
tff(f_65,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_Ring__and__Field_Opordered__cancel__semiring(T) ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [T_a,V_b,V_a] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
| ~ c_lessequals(c_0,V_b,T_a)
| ~ c_lessequals(c_0,V_a,T_a)
| c_lessequals(c_0,c_times(V_a,V_b,T_a),T_a) ),
file(unknown,unknown) ).
tff(f_36,axiom,
! [T_a] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)
| ( c_HOL_Oabs(c_0,T_a) = c_0 ) ),
file(unknown,unknown) ).
tff(f_26,axiom,
v_f(c_0) = c_0,
file(unknown,unknown) ).
tff(f_28,axiom,
v_x = c_0,
file(unknown,unknown) ).
tff(f_30,axiom,
~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
file(unknown,unknown) ).
tff(c_10,plain,
class_Ring__and__Field_Oordered__idom(t_a),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_35,plain,
! [T_13] :
( class_OrderedGroup_Olordered__ab__group__abs(T_13)
| ~ class_Ring__and__Field_Oordered__idom(T_13) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_39,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference(resolution,[status(thm)],[c_10,c_35]) ).
tff(c_14,plain,
! [V_a_3,T_a_2] :
( c_lessequals(c_0,c_HOL_Oabs(V_a_3,T_a_2),T_a_2)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T_a_2) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_40,plain,
! [T_14] :
( class_Orderings_Oorder(T_14)
| ~ class_Ring__and__Field_Oordered__idom(T_14) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_44,plain,
class_Orderings_Oorder(t_a),
inference(resolution,[status(thm)],[c_10,c_40]) ).
tff(c_4,plain,
c_less(c_0,v_c,t_a),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_16,plain,
! [V_x_5,V_y_6,T_a_4] :
( c_lessequals(V_x_5,V_y_6,T_a_4)
| ~ c_less(V_x_5,V_y_6,T_a_4)
| ~ class_Orderings_Oorder(T_a_4) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_20,plain,
! [T_10] :
( class_Ring__and__Field_Opordered__cancel__semiring(T_10)
| ~ class_Ring__and__Field_Oordered__idom(T_10) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_69,plain,
! [V_a_22,V_b_23,T_a_24] :
( c_lessequals(c_0,c_times(V_a_22,V_b_23,T_a_24),T_a_24)
| ~ c_lessequals(c_0,V_a_22,T_a_24)
| ~ c_lessequals(c_0,V_b_23,T_a_24)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a_24) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_46,plain,
! [T_a_16] :
( ( c_HOL_Oabs(c_0,T_a_16) = c_0 )
| ~ class_OrderedGroup_Olordered__ab__group__abs(T_a_16) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_50,plain,
c_HOL_Oabs(c_0,t_a) = c_0,
inference(resolution,[status(thm)],[c_39,c_46]) ).
tff(c_2,plain,
v_f(c_0) = c_0,
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_6,plain,
v_x = c_0,
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_8,plain,
~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_25,plain,
~ c_lessequals(c_HOL_Oabs(v_f(c_0),t_a),c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_8]) ).
tff(c_26,plain,
~ c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25]) ).
tff(c_62,plain,
~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_26]) ).
tff(c_73,plain,
( ~ c_lessequals(c_0,v_c,t_a)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(t_a) ),
inference(resolution,[status(thm)],[c_69,c_62]) ).
tff(c_74,plain,
~ class_Ring__and__Field_Opordered__cancel__semiring(t_a),
inference(splitLeft,[status(thm)],[c_73]) ).
tff(c_77,plain,
~ class_Ring__and__Field_Oordered__idom(t_a),
inference(resolution,[status(thm)],[c_20,c_74]) ).
tff(c_81,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_77]) ).
tff(c_82,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a)
| ~ c_lessequals(c_0,v_c,t_a) ),
inference(splitRight,[status(thm)],[c_73]) ).
tff(c_84,plain,
~ c_lessequals(c_0,v_c,t_a),
inference(splitLeft,[status(thm)],[c_82]) ).
tff(c_87,plain,
( ~ c_less(c_0,v_c,t_a)
| ~ class_Orderings_Oorder(t_a) ),
inference(resolution,[status(thm)],[c_16,c_84]) ).
tff(c_91,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44,c_4,c_87]) ).
tff(c_92,plain,
~ c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a),
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_99,plain,
~ class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference(resolution,[status(thm)],[c_14,c_92]) ).
tff(c_106,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39,c_99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ANA020-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % 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
% 0.14/0.34 % Computer : n022.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 : Thu Aug 3 15:27:33 EDT 2023
% 0.14/0.35 % CPUTime :
% 2.82/1.67 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.82/1.68
% 2.82/1.68 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.82/1.71
% 2.82/1.71 Inference rules
% 2.82/1.71 ----------------------
% 2.82/1.71 #Ref : 0
% 2.82/1.71 #Sup : 16
% 2.82/1.71 #Fact : 0
% 2.82/1.71 #Define : 0
% 2.82/1.71 #Split : 2
% 2.82/1.71 #Chain : 0
% 2.82/1.71 #Close : 0
% 2.82/1.71
% 2.82/1.71 Ordering : KBO
% 2.82/1.71
% 2.82/1.71 Simplification rules
% 2.82/1.71 ----------------------
% 2.82/1.71 #Subsume : 0
% 2.82/1.71 #Demod : 11
% 2.82/1.71 #Tautology : 6
% 2.82/1.71 #SimpNegUnit : 0
% 2.82/1.71 #BackRed : 0
% 2.82/1.71
% 2.82/1.71 #Partial instantiations: 0
% 2.82/1.71 #Strategies tried : 1
% 2.82/1.71
% 2.82/1.71 Timing (in seconds)
% 2.82/1.71 ----------------------
% 2.82/1.71 Preprocessing : 0.43
% 2.82/1.71 Parsing : 0.23
% 2.82/1.71 CNF conversion : 0.02
% 2.82/1.71 Main loop : 0.22
% 2.82/1.71 Inferencing : 0.09
% 2.82/1.71 Reduction : 0.06
% 2.82/1.71 Demodulation : 0.04
% 2.82/1.71 BG Simplification : 0.01
% 2.82/1.71 Subsumption : 0.04
% 2.82/1.71 Abstraction : 0.01
% 2.82/1.71 MUC search : 0.00
% 2.82/1.71 Cooper : 0.00
% 2.82/1.71 Total : 0.71
% 2.82/1.71 Index Insertion : 0.00
% 2.82/1.72 Index Deletion : 0.00
% 2.82/1.72 Index Matching : 0.00
% 2.82/1.72 BG Taut test : 0.00
%------------------------------------------------------------------------------