TSTP Solution File: ANA023-10 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ANA023-10 : TPTP v8.1.2. Released v7.5.0.
% 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 : 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 10:32:49 EDT 2023
% Result : Unsatisfiable 3.59s 1.93s
% Output : CNFRefutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 31
% Syntax : Number of formulae : 66 ( 49 unt; 17 typ; 0 def)
% Number of atoms : 49 ( 48 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 25 ( 13 >; 12 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-4 aty)
% Number of variables : 56 (; 56 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ ifeq2 > ifeq > c_plus > c_minus > c_lessequals > #nlpp > v_k > v_g > v_f > class_Ring__and__Field_Oordered__idom > class_Orderings_Oorder > class_Orderings_Olinorder > class_OrderedGroup_Opordered__ab__group__add > class_OrderedGroup_Ocomm__monoid__add > v_x > true > t_b > c_0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $i ).
tff(class_Ring__and__Field_Oordered__idom,type,
class_Ring__and__Field_Oordered__idom: $i > $i ).
tff(c_minus,type,
c_minus: ( $i * $i * $i ) > $i ).
tff(class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $i ).
tff(class_OrderedGroup_Ocomm__monoid__add,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $i ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $i ).
tff(c_0,type,
c_0: $i ).
tff(ifeq2,type,
ifeq2: ( $i * $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Opordered__ab__group__add,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $i ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $i ).
tff(c_plus,type,
c_plus: ( $i * $i * $i ) > $i ).
tff(true,type,
true: $i ).
tff(v_g,type,
v_g: $i > $i ).
tff(v_f,type,
v_f: $i > $i ).
tff(t_b,type,
t_b: $i ).
tff(v_k,type,
v_k: $i > $i ).
tff(ifeq,type,
ifeq: ( $i * $i * $i * $i ) > $i ).
tff(f_38,axiom,
c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) != true,
file(unknown,unknown) ).
tff(f_47,axiom,
class_Ring__and__Field_Oordered__idom(t_b) = true,
file(unknown,unknown) ).
tff(f_42,axiom,
! [T] : ( ifeq(class_Ring__and__Field_Oordered__idom(T),true,class_OrderedGroup_Ocomm__monoid__add(T),true) = true ),
file(unknown,unknown) ).
tff(f_26,axiom,
! [A,B,C] : ( ifeq(A,A,B,C) = B ),
file(unknown,unknown) ).
tff(f_28,axiom,
! [T_a,V_y] : ( ifeq2(class_OrderedGroup_Ocomm__monoid__add(T_a),true,c_plus(c_0,V_y,T_a),V_y) = V_y ),
file(unknown,unknown) ).
tff(f_24,axiom,
! [A,B,C] : ( ifeq2(A,A,B,C) = B ),
file(unknown,unknown) ).
tff(f_46,axiom,
! [T] : ( ifeq(class_Ring__and__Field_Oordered__idom(T),true,class_OrderedGroup_Opordered__ab__group__add(T),true) = true ),
file(unknown,unknown) ).
tff(f_35,axiom,
c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b) = true,
file(unknown,unknown) ).
tff(f_30,axiom,
! [T_a,V_a,V_c,V_b] : ( ifeq(class_OrderedGroup_Opordered__ab__group__add(T_a),true,ifeq(c_lessequals(V_a,c_minus(V_c,V_b,T_a),T_a),true,c_lessequals(c_plus(V_a,V_b,T_a),V_c,T_a),true),true) = true ),
file(unknown,unknown) ).
tff(f_44,axiom,
! [T] : ( ifeq(class_Ring__and__Field_Oordered__idom(T),true,class_Orderings_Olinorder(T),true) = true ),
file(unknown,unknown) ).
tff(f_40,axiom,
! [T] : ( ifeq(class_Orderings_Olinorder(T),true,class_Orderings_Oorder(T),true) = true ),
file(unknown,unknown) ).
tff(f_36,axiom,
c_lessequals(v_k(v_x),v_f(v_x),t_b) = true,
file(unknown,unknown) ).
tff(f_34,axiom,
! [T_a,V_x,V_y,V_z] : ( ifeq(class_Orderings_Oorder(T_a),true,ifeq(c_lessequals(V_x,V_y,T_a),true,ifeq(c_lessequals(V_y,V_z,T_a),true,c_lessequals(V_x,V_z,T_a),true),true),true) = true ),
file(unknown,unknown) ).
tff(f_32,axiom,
! [T_a,V_a,V_b,V_c] : ( ifeq(class_OrderedGroup_Opordered__ab__group__add(T_a),true,ifeq(c_lessequals(c_plus(V_a,V_b,T_a),V_c,T_a),true,c_lessequals(V_a,c_minus(V_c,V_b,T_a),T_a),true),true) = true ),
file(unknown,unknown) ).
tff(c_18,plain,
c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) != true,
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_28,plain,
class_Ring__and__Field_Oordered__idom(t_b) = true,
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_65,plain,
! [T_32] : ( ifeq(class_Ring__and__Field_Oordered__idom(T_32),true,class_OrderedGroup_Ocomm__monoid__add(T_32),true) = true ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_72,plain,
ifeq(true,true,class_OrderedGroup_Ocomm__monoid__add(t_b),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_28,c_65]) ).
tff(c_4,plain,
! [A_4,B_5,C_6] : ( ifeq(A_4,A_4,B_5,C_6) = B_5 ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_106,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b) = true,
inference(superposition,[status(thm),theory(equality)],[c_72,c_4]) ).
tff(c_144,plain,
! [T_a_35,V_y_36] : ( ifeq2(class_OrderedGroup_Ocomm__monoid__add(T_a_35),true,c_plus(c_0,V_y_36,T_a_35),V_y_36) = V_y_36 ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_191,plain,
! [V_y_37] : ( ifeq2(true,true,c_plus(c_0,V_y_37,t_b),V_y_37) = V_y_37 ),
inference(superposition,[status(thm),theory(equality)],[c_106,c_144]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( ifeq2(A_1,A_1,B_2,C_3) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_197,plain,
! [V_y_37] : ( c_plus(c_0,V_y_37,t_b) = V_y_37 ),
inference(superposition,[status(thm),theory(equality)],[c_191,c_2]) ).
tff(c_55,plain,
! [T_31] : ( ifeq(class_Ring__and__Field_Oordered__idom(T_31),true,class_OrderedGroup_Opordered__ab__group__add(T_31),true) = true ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_62,plain,
ifeq(true,true,class_OrderedGroup_Opordered__ab__group__add(t_b),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_28,c_55]) ).
tff(c_78,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b) = true,
inference(superposition,[status(thm),theory(equality)],[c_62,c_4]) ).
tff(c_14,plain,
c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b) = true,
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_227,plain,
! [T_a_39,V_a_40,V_c_41,V_b_42] : ( ifeq(class_OrderedGroup_Opordered__ab__group__add(T_a_39),true,ifeq(c_lessequals(V_a_40,c_minus(V_c_41,V_b_42,T_a_39),T_a_39),true,c_lessequals(c_plus(V_a_40,V_b_42,T_a_39),V_c_41,T_a_39),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_234,plain,
ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),true,ifeq(true,true,c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),true),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_14,c_227]) ).
tff(c_243,plain,
c_lessequals(v_g(v_x),v_k(v_x),t_b) = true,
inference(demodulation,[status(thm),theory(equality)],[c_197,c_4,c_78,c_4,c_234]) ).
tff(c_124,plain,
! [T_34] : ( ifeq(class_Ring__and__Field_Oordered__idom(T_34),true,class_Orderings_Olinorder(T_34),true) = true ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_131,plain,
ifeq(true,true,class_Orderings_Olinorder(t_b),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_28,c_124]) ).
tff(c_137,plain,
class_Orderings_Olinorder(t_b) = true,
inference(superposition,[status(thm),theory(equality)],[c_131,c_4]) ).
tff(c_20,plain,
! [T_21] : ( ifeq(class_Orderings_Olinorder(T_21),true,class_Orderings_Oorder(T_21),true) = true ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_164,plain,
ifeq(true,true,class_Orderings_Oorder(t_b),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_137,c_20]) ).
tff(c_173,plain,
class_Orderings_Oorder(t_b) = true,
inference(superposition,[status(thm),theory(equality)],[c_164,c_4]) ).
tff(c_16,plain,
c_lessequals(v_k(v_x),v_f(v_x),t_b) = true,
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_354,plain,
! [T_a_51,V_x_52,V_y_53,V_z_54] : ( ifeq(class_Orderings_Oorder(T_a_51),true,ifeq(c_lessequals(V_x_52,V_y_53,T_a_51),true,ifeq(c_lessequals(V_y_53,V_z_54,T_a_51),true,c_lessequals(V_x_52,V_z_54,T_a_51),true),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_394,plain,
! [V_x_52] : ( ifeq(class_Orderings_Oorder(t_b),true,ifeq(c_lessequals(V_x_52,v_k(v_x),t_b),true,ifeq(true,true,c_lessequals(V_x_52,v_f(v_x),t_b),true),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_354]) ).
tff(c_430,plain,
! [V_x_56] : ( ifeq(c_lessequals(V_x_56,v_k(v_x),t_b),true,c_lessequals(V_x_56,v_f(v_x),t_b),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_173,c_4,c_394]) ).
tff(c_437,plain,
ifeq(true,true,c_lessequals(v_g(v_x),v_f(v_x),t_b),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_243,c_430]) ).
tff(c_450,plain,
c_lessequals(v_g(v_x),v_f(v_x),t_b) = true,
inference(superposition,[status(thm),theory(equality)],[c_437,c_4]) ).
tff(c_270,plain,
! [T_a_45,V_a_46,V_b_47,V_c_48] : ( ifeq(class_OrderedGroup_Opordered__ab__group__add(T_a_45),true,ifeq(c_lessequals(c_plus(V_a_46,V_b_47,T_a_45),V_c_48,T_a_45),true,c_lessequals(V_a_46,c_minus(V_c_48,V_b_47,T_a_45),T_a_45),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_280,plain,
! [V_y_37,V_c_48] : ( ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),true,ifeq(c_lessequals(V_y_37,V_c_48,t_b),true,c_lessequals(c_0,c_minus(V_c_48,V_y_37,t_b),t_b),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_197,c_270]) ).
tff(c_287,plain,
! [V_y_37,V_c_48] : ( ifeq(c_lessequals(V_y_37,V_c_48,t_b),true,c_lessequals(c_0,c_minus(V_c_48,V_y_37,t_b),t_b),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_78,c_280]) ).
tff(c_474,plain,
ifeq(true,true,c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_450,c_287]) ).
tff(c_624,plain,
c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) = true,
inference(superposition,[status(thm),theory(equality)],[c_474,c_4]) ).
tff(c_631,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_624]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ANA023-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14 % 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
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 15:58:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.59/1.93 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.62/1.93
% 3.62/1.93 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.62/1.98
% 3.62/1.98 Inference rules
% 3.62/1.98 ----------------------
% 3.62/1.98 #Ref : 0
% 3.62/1.98 #Sup : 181
% 3.62/1.98 #Fact : 0
% 3.62/1.98 #Define : 0
% 3.62/1.98 #Split : 0
% 3.62/1.98 #Chain : 0
% 3.62/1.98 #Close : 0
% 3.62/1.98
% 3.62/1.98 Ordering : KBO
% 3.62/1.98
% 3.62/1.98 Simplification rules
% 3.62/1.98 ----------------------
% 3.62/1.98 #Subsume : 0
% 3.62/1.98 #Demod : 163
% 3.62/1.98 #Tautology : 133
% 3.62/1.98 #SimpNegUnit : 1
% 3.62/1.98 #BackRed : 9
% 3.62/1.98
% 3.62/1.98 #Partial instantiations: 0
% 3.62/1.98 #Strategies tried : 1
% 3.62/1.98
% 3.62/1.98 Timing (in seconds)
% 3.62/1.98 ----------------------
% 3.62/1.98 Preprocessing : 0.45
% 3.62/1.98 Parsing : 0.25
% 3.62/1.98 CNF conversion : 0.02
% 3.62/1.98 Main loop : 0.43
% 3.62/1.98 Inferencing : 0.16
% 3.62/1.98 Reduction : 0.16
% 3.62/1.98 Demodulation : 0.12
% 3.62/1.98 BG Simplification : 0.02
% 3.62/1.98 Subsumption : 0.07
% 3.62/1.98 Abstraction : 0.02
% 3.62/1.98 MUC search : 0.00
% 3.62/1.98 Cooper : 0.00
% 3.62/1.98 Total : 0.95
% 3.62/1.98 Index Insertion : 0.00
% 3.62/1.98 Index Deletion : 0.00
% 3.62/1.98 Index Matching : 0.00
% 3.62/1.98 BG Taut test : 0.00
%------------------------------------------------------------------------------