TSTP Solution File: HWV012-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HWV012-2 : 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/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 : n031.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 10:42:25 EDT 2023
% Result : Unsatisfiable 9.20s 3.18s
% Output : CNFRefutation 9.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 56
% Syntax : Number of formulae : 71 ( 12 unt; 49 typ; 0 def)
% Number of atoms : 46 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 47 ( 23 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 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 : 8 (; 8 !; 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_53,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_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
file(unknown,unknown) ).
tff(f_1062,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
file(unknown,unknown) ).
tff(f_94,axiom,
! [T_5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_5,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)) ),
file(unknown,unknown) ).
tff(f_1061,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file(unknown,unknown) ).
tff(f_488,axiom,
! [T_13] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) ),
file(unknown,unknown) ).
tff(f_215,axiom,
! [T_13] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1)))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) ),
file(unknown,unknown) ).
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_53]) ).
tff(c_268,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(cnfTransformation,[status(thm)],[f_1060]) ).
tff(c_274,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_268]) ).
tff(c_272,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_432,plain,
! [T_5_285] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5_285))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_5_285,n1))) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_443,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(resolution,[status(thm)],[c_272,c_432]) ).
tff(c_270,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(cnfTransformation,[status(thm)],[f_1061]) ).
tff(c_4238,plain,
! [T_13_485] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13_485))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13_485))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13_485))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13_485,n1))) ),
inference(cnfTransformation,[status(thm)],[f_488]) ).
tff(c_4264,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(resolution,[status(thm)],[c_272,c_4238]) ).
tff(c_4268,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(demodulation,[status(thm),theory(equality)],[c_270,c_4264]) ).
tff(c_4269,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(negUnitSimplification,[status(thm)],[c_443,c_4268]) ).
tff(c_4955,plain,
! [T_13_521] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13_521))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13_521))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13_521))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13_521))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13_521,n1))) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_4981,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),
inference(resolution,[status(thm)],[c_272,c_4955]) ).
tff(c_4985,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),
inference(demodulation,[status(thm),theory(equality)],[c_270,c_4981]) ).
tff(c_4987,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_274,c_4269,c_443,c_4985]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.17 % Problem : HWV012-2 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.18 % 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
% 0.15/0.41 % Computer : n031.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8042.1875MB
% 0.15/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Fri Aug 4 00:21:30 EDT 2023
% 0.15/0.41 % CPUTime :
% 9.20/3.18 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.20/3.18
% 9.20/3.18 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.39/3.21
% 9.39/3.21 Inference rules
% 9.39/3.21 ----------------------
% 9.39/3.21 #Ref : 1
% 9.39/3.21 #Sup : 1215
% 9.39/3.21 #Fact : 2
% 9.39/3.21 #Define : 0
% 9.39/3.21 #Split : 7
% 9.39/3.21 #Chain : 0
% 9.39/3.21 #Close : 0
% 9.39/3.21
% 9.39/3.21 Ordering : KBO
% 9.39/3.21
% 9.39/3.21 Simplification rules
% 9.39/3.21 ----------------------
% 9.39/3.21 #Subsume : 257
% 9.39/3.21 #Demod : 400
% 9.39/3.21 #Tautology : 341
% 9.39/3.21 #SimpNegUnit : 76
% 9.39/3.21 #BackRed : 138
% 9.39/3.21
% 9.39/3.21 #Partial instantiations: 0
% 9.39/3.21 #Strategies tried : 1
% 9.39/3.21
% 9.39/3.21 Timing (in seconds)
% 9.39/3.21 ----------------------
% 9.39/3.21 Preprocessing : 0.80
% 9.39/3.22 Parsing : 0.42
% 9.39/3.22 CNF conversion : 0.06
% 9.39/3.22 Main loop : 1.30
% 9.39/3.22 Inferencing : 0.47
% 9.39/3.22 Reduction : 0.44
% 9.39/3.22 Demodulation : 0.31
% 9.39/3.22 BG Simplification : 0.08
% 9.39/3.22 Subsumption : 0.24
% 9.39/3.22 Abstraction : 0.04
% 9.39/3.22 MUC search : 0.00
% 9.39/3.22 Cooper : 0.00
% 9.39/3.22 Total : 2.15
% 9.39/3.22 Index Insertion : 0.00
% 9.39/3.22 Index Deletion : 0.00
% 9.39/3.22 Index Matching : 0.00
% 9.39/3.22 BG Taut test : 0.00
%------------------------------------------------------------------------------