TSTP Solution File: ANA038-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ANA038-2 : 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 10:32:52 EDT 2023
% Result : Unsatisfiable 3.00s 1.80s
% Output : CNFRefutation 3.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 25
% Syntax : Number of formulae : 48 ( 16 unt; 15 typ; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 64 ( 35 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 10 >; 7 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 33 (; 33 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > class_Ring__and__Field_Opordered__semiring > class_Ring__and__Field_Oordered__idom > class_Orderings_Oorder > class_Orderings_Olinorder > c_times > c_Orderings_Omax > c_HOL_Oabs > #nlpp > v_g > v_b > v_xa > v_ca > v_c > t_b > c_0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff(v_c,type,
v_c: $i ).
tff(v_xa,type,
v_xa: $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(v_b,type,
v_b: $i > $i ).
tff(v_ca,type,
v_ca: $i ).
tff(c_Orderings_Omax,type,
c_Orderings_Omax: ( $i * $i * $i ) > $i ).
tff(v_g,type,
v_g: $i > $i ).
tff(class_Ring__and__Field_Opordered__semiring,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(t_b,type,
t_b: $i ).
tff(f_30,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file(unknown,unknown) ).
tff(f_62,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_Orderings_Olinorder(T) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [T_b,V_y,V_x] :
( ~ class_Orderings_Olinorder(T_b)
| c_lessequals(V_y,c_Orderings_Omax(V_x,V_y,T_b),T_b) ),
file(unknown,unknown) ).
tff(f_67,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_Ring__and__Field_Opordered__semiring(T) ),
file(unknown,unknown) ).
tff(f_26,axiom,
c_lessequals(c_0,v_g(v_xa),t_b),
file(unknown,unknown) ).
tff(f_57,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_a,V_c,T_a),c_times(V_b,V_c,T_a),T_a) ),
file(unknown,unknown) ).
tff(f_72,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_Orderings_Oorder(T) ),
file(unknown,unknown) ).
tff(f_27,axiom,
c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b),
file(unknown,unknown) ).
tff(f_46,axiom,
! [T_a,V_y,V_z,V_x] :
( ~ class_Orderings_Oorder(T_a)
| ~ c_lessequals(V_y,V_z,T_a)
| ~ c_lessequals(V_x,V_y,T_a)
| c_lessequals(V_x,V_z,T_a) ),
file(unknown,unknown) ).
tff(f_29,axiom,
~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(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_30]) ).
tff(c_27,plain,
! [T_17] :
( class_Orderings_Olinorder(T_17)
| ~ class_Ring__and__Field_Oordered__idom(T_17) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_31,plain,
class_Orderings_Olinorder(t_b),
inference(resolution,[status(thm)],[c_8,c_27]) ).
tff(c_10,plain,
! [V_y_2,V_x_3,T_b_1] :
( c_lessequals(V_y_2,c_Orderings_Omax(V_x_3,V_y_2,T_b_1),T_b_1)
| ~ class_Orderings_Olinorder(T_b_1) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_18,plain,
! [T_13] :
( class_Ring__and__Field_Opordered__semiring(T_13)
| ~ class_Ring__and__Field_Oordered__idom(T_13) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_2,plain,
c_lessequals(c_0,v_g(v_xa),t_b),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_14,plain,
! [V_a_9,V_c_11,T_a_8,V_b_10] :
( c_lessequals(c_times(V_a_9,V_c_11,T_a_8),c_times(V_b_10,V_c_11,T_a_8),T_a_8)
| ~ c_lessequals(c_0,V_c_11,T_a_8)
| ~ c_lessequals(V_a_9,V_b_10,T_a_8)
| ~ class_Ring__and__Field_Opordered__semiring(T_a_8) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_22,plain,
! [T_16] :
( class_Orderings_Oorder(T_16)
| ~ class_Ring__and__Field_Oordered__idom(T_16) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_26,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[status(thm)],[c_8,c_22]) ).
tff(c_4,plain,
c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_33,plain,
! [V_x_21,V_z_22,T_a_23,V_y_24] :
( c_lessequals(V_x_21,V_z_22,T_a_23)
| ~ c_lessequals(V_x_21,V_y_24,T_a_23)
| ~ c_lessequals(V_y_24,V_z_22,T_a_23)
| ~ class_Orderings_Oorder(T_a_23) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_35,plain,
! [V_z_22] :
( c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),V_z_22,t_b)
| ~ c_lessequals(c_times(v_ca,v_g(v_xa),t_b),V_z_22,t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(resolution,[status(thm)],[c_4,c_33]) ).
tff(c_125,plain,
! [V_z_51] :
( c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),V_z_51,t_b)
| ~ c_lessequals(c_times(v_ca,v_g(v_xa),t_b),V_z_51,t_b) ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_35]) ).
tff(c_133,plain,
! [V_b_10] :
( c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(V_b_10,v_g(v_xa),t_b),t_b)
| ~ c_lessequals(c_0,v_g(v_xa),t_b)
| ~ c_lessequals(v_ca,V_b_10,t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(resolution,[status(thm)],[c_14,c_125]) ).
tff(c_143,plain,
! [V_b_10] :
( c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(V_b_10,v_g(v_xa),t_b),t_b)
| ~ c_lessequals(v_ca,V_b_10,t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_133]) ).
tff(c_168,plain,
~ class_Ring__and__Field_Opordered__semiring(t_b),
inference(splitLeft,[status(thm)],[c_143]) ).
tff(c_171,plain,
~ class_Ring__and__Field_Oordered__idom(t_b),
inference(resolution,[status(thm)],[c_18,c_168]) ).
tff(c_175,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_171]) ).
tff(c_190,plain,
! [V_b_61] :
( c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(V_b_61,v_g(v_xa),t_b),t_b)
| ~ c_lessequals(v_ca,V_b_61,t_b) ),
inference(splitRight,[status(thm)],[c_143]) ).
tff(c_6,plain,
~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_196,plain,
~ c_lessequals(v_ca,c_Orderings_Omax(v_c,v_ca,t_b),t_b),
inference(resolution,[status(thm)],[c_190,c_6]) ).
tff(c_202,plain,
~ class_Orderings_Olinorder(t_b),
inference(resolution,[status(thm)],[c_10,c_196]) ).
tff(c_206,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_31,c_202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ANA038-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % 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
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 15:17:08 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.00/1.80 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.00/1.80
% 3.00/1.80 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.22/1.83
% 3.22/1.83 Inference rules
% 3.22/1.83 ----------------------
% 3.22/1.83 #Ref : 0
% 3.22/1.83 #Sup : 31
% 3.22/1.83 #Fact : 0
% 3.22/1.83 #Define : 0
% 3.22/1.83 #Split : 1
% 3.22/1.83 #Chain : 0
% 3.22/1.83 #Close : 0
% 3.22/1.83
% 3.22/1.83 Ordering : KBO
% 3.22/1.83
% 3.22/1.83 Simplification rules
% 3.22/1.83 ----------------------
% 3.22/1.83 #Subsume : 0
% 3.22/1.83 #Demod : 24
% 3.22/1.83 #Tautology : 2
% 3.22/1.83 #SimpNegUnit : 0
% 3.22/1.83 #BackRed : 0
% 3.22/1.83
% 3.22/1.83 #Partial instantiations: 0
% 3.22/1.83 #Strategies tried : 1
% 3.22/1.83
% 3.22/1.83 Timing (in seconds)
% 3.22/1.83 ----------------------
% 3.22/1.84 Preprocessing : 0.42
% 3.22/1.84 Parsing : 0.23
% 3.22/1.84 CNF conversion : 0.02
% 3.22/1.84 Main loop : 0.34
% 3.22/1.84 Inferencing : 0.15
% 3.22/1.84 Reduction : 0.09
% 3.22/1.84 Demodulation : 0.07
% 3.22/1.84 BG Simplification : 0.01
% 3.22/1.84 Subsumption : 0.07
% 3.22/1.84 Abstraction : 0.01
% 3.22/1.84 MUC search : 0.00
% 3.22/1.84 Cooper : 0.00
% 3.22/1.84 Total : 0.81
% 3.22/1.84 Index Insertion : 0.00
% 3.22/1.84 Index Deletion : 0.00
% 3.22/1.84 Index Matching : 0.00
% 3.22/1.84 BG Taut test : 0.00
%------------------------------------------------------------------------------