TSTP Solution File: HWV028-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HWV028-2 : TPTP v8.1.2. Released v2.5.0.
% 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 : n009.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 10:42:30 EDT 2023
% Result : Unsatisfiable 6.65s 2.49s
% Output : CNFRefutation 6.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 56
% Syntax : Number of formulae : 69 ( 15 unt; 49 typ; 0 def)
% Number of atoms : 27 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 63 ( 41 >; 22 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 46 ( 46 usr; 8 con; 0-3 aty)
% Number of variables : 14 (; 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p_LES_EQU_ > def_89 > p__pred_ > f__slice_ > fstd_DOTstandard_DOTmod_ > f__xor_ > f__xnor_ > f__or_ > f__nor_ > f__nand_ > f__lt_ > f__leq_ > f__index_ > f__gt_ > f__geq_ > f__equiv_ > f__equal_ > f__cons_ > f__concat_ > f__and_ > f_SUB_ > f_ADD_ > #nlpp > y_105 > length > fwork_DOTfifo_DOTrtl_DOTwr__level_ > fwork_DOTfifo_DOTrtl_DOTwr__error_ > fwork_DOTfifo_DOTrtl_DOTwr_ > fwork_DOTfifo_DOTrtl_DOTreset_ > fwork_DOTfifo_DOTrtl_DOTrd__level_ > fwork_DOTfifo_DOTrtl_DOTrd__error_ > fwork_DOTfifo_DOTrtl_DOTrd_ > fwork_DOTfifo_DOTrtl_DOTmem_ > fwork_DOTfifo_DOTrtl_DOTlevel_ > fwork_DOTfifo_DOTrtl_DOTint__level_ > fwork_DOTfifo_DOTrtl_DOTfull_ > fwork_DOTfifo_DOTrtl_DOTempty_ > fwork_DOTfifo_DOTrtl_DOTdata__out_ > fwork_DOTfifo_DOTrtl_DOTdata__in_ > f__others_ > f__not_ > f__length_ > t_206 > n1 > n0 > fwork_DOTfifo_DOTrtl_DOTfifo__width_ > fwork_DOTfifo_DOTrtl_DOTfifo__length_ > f__true_ > f__false_ > f__empty_
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(fstd_DOTstandard_DOTmod_,type,
fstd_DOTstandard_DOTmod_: ( $i * $i ) > $i ).
tff(p_LES_EQU_,type,
p_LES_EQU_: ( $i * $i ) > $o ).
tff(f__nor_,type,
f__nor_: ( $i * $i ) > $i ).
tff(f__others_,type,
f__others_: $i > $i ).
tff(fwork_DOTfifo_DOTrtl_DOTlevel_,type,
fwork_DOTfifo_DOTrtl_DOTlevel_: $i > $i ).
tff(f__not_,type,
f__not_: $i > $i ).
tff(f__empty_,type,
f__empty_: $i ).
tff(f__index_,type,
f__index_: ( $i * $i ) > $i ).
tff(f__leq_,type,
f__leq_: ( $i * $i ) > $i ).
tff(fwork_DOTfifo_DOTrtl_DOTdata__in_,type,
fwork_DOTfifo_DOTrtl_DOTdata__in_: $i > $i ).
tff(f__equal_,type,
f__equal_: ( $i * $i ) > $i ).
tff(f__or_,type,
f__or_: ( $i * $i ) > $i ).
tff(fwork_DOTfifo_DOTrtl_DOTwr__level_,type,
fwork_DOTfifo_DOTrtl_DOTwr__level_: $i > $i ).
tff(fwork_DOTfifo_DOTrtl_DOTrd__level_,type,
fwork_DOTfifo_DOTrtl_DOTrd__level_: $i > $i ).
tff(fwork_DOTfifo_DOTrtl_DOTwr__error_,type,
fwork_DOTfifo_DOTrtl_DOTwr__error_: $i > $i ).
tff(f__and_,type,
f__and_: ( $i * $i ) > $i ).
tff(fwork_DOTfifo_DOTrtl_DOTrd__error_,type,
fwork_DOTfifo_DOTrtl_DOTrd__error_: $i > $i ).
tff(fwork_DOTfifo_DOTrtl_DOTdata__out_,type,
fwork_DOTfifo_DOTrtl_DOTdata__out_: $i > $i ).
tff(fwork_DOTfifo_DOTrtl_DOTint__level_,type,
fwork_DOTfifo_DOTrtl_DOTint__level_: $i > $i ).
tff(fwork_DOTfifo_DOTrtl_DOTfifo__width_,type,
fwork_DOTfifo_DOTrtl_DOTfifo__width_: $i ).
tff(fwork_DOTfifo_DOTrtl_DOTwr_,type,
fwork_DOTfifo_DOTrtl_DOTwr_: $i > $i ).
tff(y_105,type,
y_105: $i > $i ).
tff(f_ADD_,type,
f_ADD_: ( $i * $i ) > $i ).
tff(n1,type,
n1: $i ).
tff(f_SUB_,type,
f_SUB_: ( $i * $i ) > $i ).
tff(f__geq_,type,
f__geq_: ( $i * $i ) > $i ).
tff(fwork_DOTfifo_DOTrtl_DOTfifo__length_,type,
fwork_DOTfifo_DOTrtl_DOTfifo__length_: $i ).
tff(f__false_,type,
f__false_: $i ).
tff(f__concat_,type,
f__concat_: ( $i * $i ) > $i ).
tff(f__length_,type,
f__length_: $i > $i ).
tff(f__slice_,type,
f__slice_: ( $i * $i * $i ) > $i ).
tff(f__xor_,type,
f__xor_: ( $i * $i ) > $i ).
tff(n0,type,
n0: $i ).
tff(fwork_DOTfifo_DOTrtl_DOTreset_,type,
fwork_DOTfifo_DOTrtl_DOTreset_: $i > $i ).
tff(f__equiv_,type,
f__equiv_: ( $i * $i ) > $i ).
tff(f__lt_,type,
f__lt_: ( $i * $i ) > $i ).
tff(f__gt_,type,
f__gt_: ( $i * $i ) > $i ).
tff(p__pred_,type,
p__pred_: $i > $o ).
tff(f__true_,type,
f__true_: $i ).
tff(f__xnor_,type,
f__xnor_: ( $i * $i ) > $i ).
tff(fwork_DOTfifo_DOTrtl_DOTempty_,type,
fwork_DOTfifo_DOTrtl_DOTempty_: $i > $i ).
tff(fwork_DOTfifo_DOTrtl_DOTrd_,type,
fwork_DOTfifo_DOTrtl_DOTrd_: $i > $i ).
tff(t_206,type,
t_206: $i ).
tff(f__cons_,type,
f__cons_: ( $i * $i ) > $i ).
tff(f__nand_,type,
f__nand_: ( $i * $i ) > $i ).
tff(def_89,type,
def_89: ( $i * $i ) > $o ).
tff(fwork_DOTfifo_DOTrtl_DOTmem_,type,
fwork_DOTfifo_DOTrtl_DOTmem_: $i > $i ).
tff(fwork_DOTfifo_DOTrtl_DOTfull_,type,
fwork_DOTfifo_DOTrtl_DOTfull_: $i > $i ).
tff(length,type,
length: $i > $i ).
tff(f_1062,axiom,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
file(unknown,unknown) ).
tff(f_779,axiom,
! [X_106] : p_LES_EQU_(X_106,X_106),
file(unknown,unknown) ).
tff(f_761,axiom,
! [Z_100,X_98,Y_99] :
( ~ p_LES_EQU_(Z_100,X_98)
| p_LES_EQU_(Y_99,X_98)
| p_LES_EQU_(Z_100,Y_99) ),
file(unknown,unknown) ).
tff(f_1058,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file(unknown,unknown) ).
tff(f_87,axiom,
! [T_5] :
( ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)) ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [T_0] : ( fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0) ),
file(unknown,unknown) ).
tff(f_1060,axiom,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
file(unknown,unknown) ).
tff(c_272,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_148,plain,
! [X_106_107] : p_LES_EQU_(X_106_107,X_106_107),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_1128,plain,
! [Z_100_361,Y_99_362,X_98_363] :
( p_LES_EQU_(Z_100_361,Y_99_362)
| p_LES_EQU_(Y_99_362,X_98_363)
| ~ p_LES_EQU_(Z_100_361,X_98_363) ),
inference(cnfTransformation,[status(thm)],[f_761]) ).
tff(c_1151,plain,
! [X_106_364,Y_99_365] :
( p_LES_EQU_(X_106_364,Y_99_365)
| p_LES_EQU_(Y_99_365,X_106_364) ),
inference(resolution,[status(thm)],[c_148,c_1128]) ).
tff(c_268,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(cnfTransformation,[status(thm)],[f_1058]) ).
tff(c_677,plain,
! [T_5_323] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5_323))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5_323,n1)) = n0 ) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_681,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = n0,
inference(resolution,[status(thm)],[c_268,c_677]) ).
tff(c_8,plain,
! [T_0_4] : ( fwork_DOTfifo_DOTrtl_DOTlevel_(T_0_4) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0_4) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_270,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(cnfTransformation,[status(thm)],[f_1060]) ).
tff(c_274,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_270]) ).
tff(c_683,plain,
~ p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(demodulation,[status(thm),theory(equality)],[c_681,c_274]) ).
tff(c_1162,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(resolution,[status(thm)],[c_1151,c_683]) ).
tff(c_1222,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272,c_1162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HWV028-2 : TPTP v8.1.2. Released v2.5.0.
% 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
% 0.17/0.36 % Computer : n009.cluster.edu
% 0.17/0.36 % Model : x86_64 x86_64
% 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36 % Memory : 8042.1875MB
% 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36 % CPULimit : 300
% 0.17/0.36 % WCLimit : 300
% 0.17/0.36 % DateTime : Thu Aug 3 23:36:38 EDT 2023
% 0.17/0.36 % CPUTime :
% 6.65/2.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.65/2.49
% 6.65/2.49 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.94/2.52
% 6.94/2.52 Inference rules
% 6.94/2.52 ----------------------
% 6.94/2.52 #Ref : 1
% 6.94/2.52 #Sup : 290
% 6.94/2.52 #Fact : 2
% 6.94/2.52 #Define : 0
% 6.94/2.52 #Split : 2
% 6.94/2.52 #Chain : 0
% 6.94/2.52 #Close : 0
% 6.94/2.52
% 6.94/2.52 Ordering : KBO
% 6.94/2.52
% 6.94/2.52 Simplification rules
% 6.94/2.52 ----------------------
% 6.94/2.52 #Subsume : 124
% 6.94/2.52 #Demod : 17
% 6.94/2.52 #Tautology : 75
% 6.94/2.52 #SimpNegUnit : 1
% 6.94/2.52 #BackRed : 2
% 6.94/2.52
% 6.94/2.52 #Partial instantiations: 0
% 6.94/2.52 #Strategies tried : 1
% 6.94/2.52
% 6.94/2.52 Timing (in seconds)
% 6.94/2.52 ----------------------
% 6.94/2.52 Preprocessing : 0.82
% 6.94/2.52 Parsing : 0.42
% 6.94/2.52 CNF conversion : 0.06
% 6.94/2.52 Main loop : 0.62
% 6.94/2.52 Inferencing : 0.19
% 6.94/2.52 Reduction : 0.21
% 6.94/2.52 Demodulation : 0.15
% 6.94/2.52 BG Simplification : 0.06
% 6.94/2.52 Subsumption : 0.14
% 6.94/2.52 Abstraction : 0.02
% 6.94/2.52 MUC search : 0.00
% 6.94/2.52 Cooper : 0.00
% 6.94/2.52 Total : 1.49
% 6.94/2.52 Index Insertion : 0.00
% 6.94/2.52 Index Deletion : 0.00
% 6.94/2.52 Index Matching : 0.00
% 6.94/2.52 BG Taut test : 0.00
%------------------------------------------------------------------------------