TSTP Solution File: ANA044-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ANA044-2 : 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/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 : n007.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 2.82s 1.75s
% Output : CNFRefutation 2.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 21
% Syntax : Number of formulae : 35 ( 12 unt; 13 typ; 0 def)
% Number of atoms : 43 ( 5 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 47 ( 26 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 9 >; 7 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 23 (; 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > class_Ring__and__Field_Opordered__cancel__semiring > class_Ring__and__Field_Oordered__idom > class_OrderedGroup_Olordered__ab__group__abs > c_times > v_l > v_k > c_HOL_Oabs > #nlpp > v_h > v_xa > v_x > t_b > c_0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $i ).
tff(v_k,type,
v_k: ( $i * $i ) > $i ).
tff(v_xa,type,
v_xa: $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(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__cancel__semiring,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(t_b,type,
t_b: $i ).
tff(f_32,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file(unknown,unknown) ).
tff(f_56,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_Ring__and__Field_Opordered__cancel__semiring(T) ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [V_U] : c_lessequals(c_0,v_h(V_U),t_b),
file(unknown,unknown) ).
tff(f_27,axiom,
! [V_U,V_V] : c_lessequals(c_0,v_l(V_U,V_V),t_b),
file(unknown,unknown) ).
tff(f_61,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_OrderedGroup_Olordered__ab__group__abs(T) ),
file(unknown,unknown) ).
tff(f_51,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_40,axiom,
! [T_a,V_y] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)
| ~ c_lessequals(c_0,V_y,T_a)
| ( c_HOL_Oabs(V_y,T_a) = V_y ) ),
file(unknown,unknown) ).
tff(f_31,axiom,
c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b),
file(unknown,unknown) ).
tff(c_8,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_14,plain,
! [T_9] :
( class_Ring__and__Field_Opordered__cancel__semiring(T_9)
| ~ class_Ring__and__Field_Oordered__idom(T_9) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_4,plain,
! [V_U_3] : c_lessequals(c_0,v_h(V_U_3),t_b),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_2,plain,
! [V_U_1,V_V_2] : c_lessequals(c_0,v_l(V_U_1,V_V_2),t_b),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_17,plain,
! [T_11] :
( class_OrderedGroup_Olordered__ab__group__abs(T_11)
| ~ class_Ring__and__Field_Oordered__idom(T_11) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_21,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[status(thm)],[c_8,c_17]) ).
tff(c_56,plain,
! [V_a_21,V_b_22,T_a_23] :
( c_lessequals(c_0,c_times(V_a_21,V_b_22,T_a_23),T_a_23)
| ~ c_lessequals(c_0,V_a_21,T_a_23)
| ~ c_lessequals(c_0,V_b_22,T_a_23)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a_23) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_10,plain,
! [V_y_5,T_a_4] :
( ( c_HOL_Oabs(V_y_5,T_a_4) = V_y_5 )
| ~ c_lessequals(c_0,V_y_5,T_a_4)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T_a_4) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_61,plain,
! [V_a_24,V_b_25,T_a_26] :
( ( c_HOL_Oabs(c_times(V_a_24,V_b_25,T_a_26),T_a_26) = c_times(V_a_24,V_b_25,T_a_26) )
| ~ class_OrderedGroup_Olordered__ab__group__abs(T_a_26)
| ~ c_lessequals(c_0,V_a_24,T_a_26)
| ~ c_lessequals(c_0,V_b_25,T_a_26)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a_26) ),
inference(resolution,[status(thm)],[c_56,c_10]) ).
tff(c_6,plain,
c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b) != c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_67,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ c_lessequals(c_0,v_l(v_x,v_xa),t_b)
| ~ c_lessequals(c_0,v_h(v_k(v_x,v_xa)),t_b)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(t_b) ),
inference(superposition,[status(thm),theory(equality)],[c_61,c_6]) ).
tff(c_74,plain,
~ class_Ring__and__Field_Opordered__cancel__semiring(t_b),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_21,c_67]) ).
tff(c_78,plain,
~ class_Ring__and__Field_Oordered__idom(t_b),
inference(resolution,[status(thm)],[c_14,c_74]) ).
tff(c_82,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : ANA044-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15 % 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
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 15:16:53 EDT 2023
% 0.15/0.36 % CPUTime :
% 2.82/1.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.82/1.75
% 2.82/1.75 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.94/1.78
% 2.94/1.78 Inference rules
% 2.94/1.78 ----------------------
% 2.94/1.78 #Ref : 0
% 2.94/1.78 #Sup : 12
% 2.94/1.78 #Fact : 0
% 2.94/1.78 #Define : 0
% 2.94/1.78 #Split : 0
% 2.94/1.78 #Chain : 0
% 2.94/1.78 #Close : 0
% 2.94/1.78
% 2.94/1.78 Ordering : KBO
% 2.94/1.78
% 2.94/1.78 Simplification rules
% 2.94/1.78 ----------------------
% 2.94/1.78 #Subsume : 0
% 2.94/1.78 #Demod : 6
% 2.94/1.78 #Tautology : 6
% 2.94/1.78 #SimpNegUnit : 0
% 2.94/1.78 #BackRed : 0
% 2.94/1.78
% 2.94/1.78 #Partial instantiations: 0
% 2.94/1.78 #Strategies tried : 1
% 2.94/1.78
% 2.94/1.78 Timing (in seconds)
% 2.94/1.78 ----------------------
% 2.94/1.79 Preprocessing : 0.43
% 2.94/1.79 Parsing : 0.24
% 2.94/1.79 CNF conversion : 0.02
% 2.94/1.79 Main loop : 0.19
% 2.94/1.79 Inferencing : 0.09
% 2.94/1.79 Reduction : 0.05
% 2.94/1.79 Demodulation : 0.04
% 2.94/1.79 BG Simplification : 0.01
% 2.94/1.79 Subsumption : 0.03
% 2.94/1.79 Abstraction : 0.01
% 2.94/1.79 MUC search : 0.00
% 2.94/1.79 Cooper : 0.00
% 2.94/1.79 Total : 0.67
% 2.94/1.79 Index Insertion : 0.00
% 2.94/1.79 Index Deletion : 0.00
% 2.94/1.79 Index Matching : 0.00
% 2.94/1.79 BG Taut test : 0.00
%------------------------------------------------------------------------------