TSTP Solution File: HWV022-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HWV022-2 : 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 : n001.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 10:42:28 EDT 2023
% Result : Unsatisfiable 15.91s 5.04s
% Output : CNFRefutation 15.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 70
% Syntax : Number of formulae : 127 ( 39 unt; 49 typ; 0 def)
% Number of atoms : 149 ( 61 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 120 ( 49 ~; 71 |; 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 : 65 (; 65 !; 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_1066,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != fwork_DOTfifo_DOTrtl_DOTfifo__length_,
file(unknown,unknown) ).
tff(f_1064,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file(unknown,unknown) ).
tff(f_1062,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file(unknown,unknown) ).
tff(f_1059,axiom,
f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
file(unknown,unknown) ).
tff(f_1060,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file(unknown,unknown) ).
tff(f_150,axiom,
! [T_13] :
( ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(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(f_693,axiom,
! [X_81] : ~ p_LES_EQU_(f_ADD_(X_81,n1),n0),
file(unknown,unknown) ).
tff(f_690,axiom,
! [X_80] : ( f_ADD_(X_80,n1) != n0 ),
file(unknown,unknown) ).
tff(f_787,axiom,
! [X_109] : ( f_ADD_(n0,X_109) = X_109 ),
file(unknown,unknown) ).
tff(f_785,axiom,
! [X_107,Y_108] :
( ( X_107 = Y_108 )
| ( f_ADD_(X_107,n1) != f_ADD_(Y_108,n1) ) ),
file(unknown,unknown) ).
tff(f_47,axiom,
! [Vt___] : ( f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(Vt___)) = f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),n1) ),
file(unknown,unknown) ).
tff(f_705,axiom,
! [Y_84,X_83,Z_85] :
( def_89(Y_84,X_83)
| ( f_ADD_(Z_85,Y_84) = X_83 )
| ( f_SUB_(X_83,Y_84) != Z_85 ) ),
file(unknown,unknown) ).
tff(f_780,axiom,
! [X_106] : p_LES_EQU_(X_106,X_106),
file(unknown,unknown) ).
tff(f_762,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_774,axiom,
! [X_103] :
( ~ p_LES_EQU_(X_103,n0)
| ( X_103 = n0 ) ),
file(unknown,unknown) ).
tff(f_769,axiom,
! [X_101,Y_102] :
( ( f_ADD_(X_101,n1) = Y_102 )
| ~ p_LES_EQU_(Y_102,f_ADD_(X_101,n1))
| p_LES_EQU_(Y_102,X_101) ),
file(unknown,unknown) ).
tff(f_747,axiom,
! [X_94,Y_95] :
( ~ p_LES_EQU_(X_94,Y_95)
| ( X_94 = Y_95 )
| p_LES_EQU_(f_ADD_(X_94,n1),Y_95) ),
file(unknown,unknown) ).
tff(f_723,axiom,
! [X_83,Y_84] :
( p_LES_EQU_(X_83,Y_84)
| ~ def_89(Y_84,X_83) ),
file(unknown,unknown) ).
tff(f_755,axiom,
! [X_96,Y_97] :
( ( X_96 = Y_97 )
| ~ p_LES_EQU_(X_96,Y_97)
| ~ p_LES_EQU_(Y_97,X_96) ),
file(unknown,unknown) ).
tff(f_698,axiom,
! [X_82] :
( ~ p_LES_EQU_(X_82,f_SUB_(X_82,n1))
| p_LES_EQU_(X_82,n0) ),
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_276,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(cnfTransformation,[status(thm)],[f_1066]) ).
tff(c_278,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) != fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_276]) ).
tff(c_274,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(cnfTransformation,[status(thm)],[f_1064]) ).
tff(c_272,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_268,plain,
f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_279,plain,
f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_268]) ).
tff(c_270,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(cnfTransformation,[status(thm)],[f_1060]) ).
tff(c_5671,plain,
! [T_13_541] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13_541))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13_541))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13_541))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13_541))
| ( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13_541),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13_541,n1)) ) ),
inference(cnfTransformation,[status(thm)],[f_150]) ).
tff(c_329,plain,
! [X_81_235] : ~ p_LES_EQU_(f_ADD_(X_81_235,n1),n0),
inference(cnfTransformation,[status(thm)],[f_693]) ).
tff(c_331,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(superposition,[status(thm),theory(equality)],[c_279,c_329]) ).
tff(c_116,plain,
! [X_80_77] : ( f_ADD_(X_80_77,n1) != n0 ),
inference(cnfTransformation,[status(thm)],[f_690]) ).
tff(c_312,plain,
n0 != fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(superposition,[status(thm),theory(equality)],[c_279,c_116]) ).
tff(c_152,plain,
! [X_109_110] : ( f_ADD_(n0,X_109_110) = X_109_110 ),
inference(cnfTransformation,[status(thm)],[f_787]) ).
tff(c_571,plain,
! [Y_108_301,X_107_302] :
( ( f_ADD_(Y_108_301,n1) != f_ADD_(X_107_302,n1) )
| ( Y_108_301 = X_107_302 ) ),
inference(cnfTransformation,[status(thm)],[f_785]) ).
tff(c_647,plain,
! [X_107_305] :
( ( f_ADD_(X_107_305,n1) != n1 )
| ( n0 = X_107_305 ) ),
inference(superposition,[status(thm),theory(equality)],[c_152,c_571]) ).
tff(c_659,plain,
( ( n1 != fwork_DOTfifo_DOTrtl_DOTfifo__length_ )
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_279,c_647]) ).
tff(c_666,plain,
n1 != fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(splitLeft,[status(thm)],[c_659]) ).
tff(c_2,plain,
! [Vt____1] : ( f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(Vt____1)) = f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),n1) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_1283,plain,
! [X_83_370,Y_84_371] :
( ( f_ADD_(f_SUB_(X_83_370,Y_84_371),Y_84_371) = X_83_370 )
| def_89(Y_84_371,X_83_370) ),
inference(cnfTransformation,[status(thm)],[f_705]) ).
tff(c_1340,plain,
! [Vt____1] :
( ( f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(Vt____1)) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ )
| def_89(n1,fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1283]) ).
tff(c_2162,plain,
def_89(n1,fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(splitLeft,[status(thm)],[c_1340]) ).
tff(c_148,plain,
! [X_106_107] : p_LES_EQU_(X_106_107,X_106_107),
inference(cnfTransformation,[status(thm)],[f_780]) ).
tff(c_1162,plain,
! [Z_100_365,Y_99_366,X_98_367] :
( p_LES_EQU_(Z_100_365,Y_99_366)
| p_LES_EQU_(Y_99_366,X_98_367)
| ~ p_LES_EQU_(Z_100_365,X_98_367) ),
inference(cnfTransformation,[status(thm)],[f_762]) ).
tff(c_1185,plain,
! [X_106_368,Y_99_369] :
( p_LES_EQU_(X_106_368,Y_99_369)
| p_LES_EQU_(Y_99_369,X_106_368) ),
inference(resolution,[status(thm)],[c_148,c_1162]) ).
tff(c_144,plain,
! [X_103_105] :
( ( n0 = X_103_105 )
| ~ p_LES_EQU_(X_103_105,n0) ),
inference(cnfTransformation,[status(thm)],[f_774]) ).
tff(c_1269,plain,
! [Y_99_369] :
( ( n0 = Y_99_369 )
| p_LES_EQU_(n0,Y_99_369) ),
inference(resolution,[status(thm)],[c_1185,c_144]) ).
tff(c_2235,plain,
! [Y_102_412,X_101_413] :
( p_LES_EQU_(Y_102_412,X_101_413)
| ~ p_LES_EQU_(Y_102_412,f_ADD_(X_101_413,n1))
| ( f_ADD_(X_101_413,n1) = Y_102_412 ) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_2258,plain,
! [X_101_413] :
( p_LES_EQU_(n0,X_101_413)
| ( f_ADD_(X_101_413,n1) = n0 ) ),
inference(resolution,[status(thm)],[c_1269,c_2235]) ).
tff(c_2312,plain,
! [X_101_413] : p_LES_EQU_(n0,X_101_413),
inference(negUnitSimplification,[status(thm)],[c_116,c_116,c_2258]) ).
tff(c_1744,plain,
! [X_94_384,Y_95_385] :
( p_LES_EQU_(f_ADD_(X_94_384,n1),Y_95_385)
| ( Y_95_385 = X_94_384 )
| ~ p_LES_EQU_(X_94_384,Y_95_385) ),
inference(cnfTransformation,[status(thm)],[f_747]) ).
tff(c_1793,plain,
! [Y_95_385] :
( p_LES_EQU_(n1,Y_95_385)
| ( n0 = Y_95_385 )
| ~ p_LES_EQU_(n0,Y_95_385) ),
inference(superposition,[status(thm),theory(equality)],[c_152,c_1744]) ).
tff(c_2374,plain,
! [Y_95_415] :
( p_LES_EQU_(n1,Y_95_415)
| ( n0 = Y_95_415 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2312,c_1793]) ).
tff(c_128,plain,
! [Y_84_89,X_83_88] :
( ~ def_89(Y_84_89,X_83_88)
| p_LES_EQU_(X_83_88,Y_84_89) ),
inference(cnfTransformation,[status(thm)],[f_723]) ).
tff(c_711,plain,
! [Y_97_312,X_96_313] :
( ~ p_LES_EQU_(Y_97_312,X_96_313)
| ~ p_LES_EQU_(X_96_313,Y_97_312)
| ( Y_97_312 = X_96_313 ) ),
inference(cnfTransformation,[status(thm)],[f_755]) ).
tff(c_716,plain,
! [Y_84_89,X_83_88] :
( ~ p_LES_EQU_(Y_84_89,X_83_88)
| ( Y_84_89 = X_83_88 )
| ~ def_89(Y_84_89,X_83_88) ),
inference(resolution,[status(thm)],[c_128,c_711]) ).
tff(c_2462,plain,
! [Y_95_417] :
( ( n1 = Y_95_417 )
| ~ def_89(n1,Y_95_417)
| ( n0 = Y_95_417 ) ),
inference(resolution,[status(thm)],[c_2374,c_716]) ).
tff(c_2465,plain,
( ( n1 = fwork_DOTfifo_DOTrtl_DOTfifo__length_ )
| ( n0 = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ) ),
inference(resolution,[status(thm)],[c_2162,c_2462]) ).
tff(c_2482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_312,c_666,c_2465]) ).
tff(c_2483,plain,
! [Vt____1] : ( f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(Vt____1)) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(splitRight,[status(thm)],[c_1340]) ).
tff(c_2540,plain,
f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(demodulation,[status(thm),theory(equality)],[c_2483,c_2]) ).
tff(c_595,plain,
! [Y_108_301] :
( ( f_ADD_(Y_108_301,n1) != fwork_DOTfifo_DOTrtl_DOTfifo__length_ )
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = Y_108_301 ) ),
inference(superposition,[status(thm),theory(equality)],[c_279,c_571]) ).
tff(c_2619,plain,
f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
inference(superposition,[status(thm),theory(equality)],[c_2540,c_595]) ).
tff(c_120,plain,
! [X_82_79] :
( p_LES_EQU_(X_82_79,n0)
| ~ p_LES_EQU_(X_82_79,f_SUB_(X_82_79,n1)) ),
inference(cnfTransformation,[status(thm)],[f_698]) ).
tff(c_2684,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0)
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),
inference(superposition,[status(thm),theory(equality)],[c_2619,c_120]) ).
tff(c_2690,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
inference(negUnitSimplification,[status(thm)],[c_331,c_2684]) ).
tff(c_5680,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))
| ( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) ) ),
inference(resolution,[status(thm)],[c_5671,c_2690]) ).
tff(c_5692,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279,c_270,c_5680]) ).
tff(c_5694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_278,c_274,c_272,c_5692]) ).
tff(c_5696,plain,
n1 = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(splitRight,[status(thm)],[c_659]) ).
tff(c_5710,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,fwork_DOTfifo_DOTrtl_DOTfifo__length_)) != fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(demodulation,[status(thm),theory(equality)],[c_5696,c_278]) ).
tff(c_5695,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0,
inference(splitRight,[status(thm)],[c_659]) ).
tff(c_34,plain,
! [T_13_20] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13_20))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13_20))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13_20))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13_20))
| ( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13_20),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13_20,n1)) ) ),
inference(cnfTransformation,[status(thm)],[f_150]) ).
tff(c_19615,plain,
! [T_13_1100] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13_1100))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13_1100))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13_1100))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13_1100))
| ( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13_1100),fwork_DOTfifo_DOTrtl_DOTfifo__length_) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13_1100,fwork_DOTfifo_DOTrtl_DOTfifo__length_)) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5696,c_5696,c_34]) ).
tff(c_19631,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_,n0)
| ( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,fwork_DOTfifo_DOTrtl_DOTfifo__length_)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_5695,c_19615]) ).
tff(c_19638,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_,n0)
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,fwork_DOTfifo_DOTrtl_DOTfifo__length_)) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152,c_5695,c_270,c_19631]) ).
tff(c_19640,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5710,c_331,c_274,c_272,c_19638]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.18 % Problem : HWV022-2 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.19 % 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
% 0.14/0.40 % Computer : n001.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8042.1875MB
% 0.14/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Fri Aug 4 00:30:41 EDT 2023
% 0.14/0.40 % CPUTime :
% 15.91/5.04 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.91/5.05
% 15.91/5.05 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.91/5.09
% 15.91/5.09 Inference rules
% 15.91/5.09 ----------------------
% 15.91/5.09 #Ref : 6
% 15.91/5.09 #Sup : 4743
% 15.91/5.09 #Fact : 18
% 15.91/5.09 #Define : 0
% 15.91/5.09 #Split : 22
% 15.91/5.09 #Chain : 0
% 15.91/5.09 #Close : 0
% 15.91/5.09
% 15.91/5.09 Ordering : KBO
% 15.91/5.09
% 15.91/5.09 Simplification rules
% 15.91/5.09 ----------------------
% 15.91/5.09 #Subsume : 1092
% 15.91/5.09 #Demod : 1656
% 15.91/5.09 #Tautology : 1475
% 15.91/5.09 #SimpNegUnit : 490
% 15.91/5.09 #BackRed : 193
% 15.91/5.09
% 15.91/5.09 #Partial instantiations: 0
% 15.91/5.09 #Strategies tried : 1
% 15.91/5.09
% 15.91/5.09 Timing (in seconds)
% 15.91/5.09 ----------------------
% 15.91/5.09 Preprocessing : 0.81
% 15.91/5.09 Parsing : 0.42
% 15.91/5.09 CNF conversion : 0.06
% 15.91/5.09 Main loop : 3.15
% 15.91/5.09 Inferencing : 1.01
% 15.91/5.09 Reduction : 1.13
% 15.91/5.09 Demodulation : 0.77
% 15.91/5.09 BG Simplification : 0.12
% 15.91/5.09 Subsumption : 0.64
% 15.91/5.09 Abstraction : 0.09
% 15.91/5.09 MUC search : 0.00
% 15.91/5.09 Cooper : 0.00
% 15.91/5.09 Total : 4.02
% 15.91/5.09 Index Insertion : 0.00
% 15.91/5.09 Index Deletion : 0.00
% 15.91/5.09 Index Matching : 0.00
% 15.91/5.09 BG Taut test : 0.00
%------------------------------------------------------------------------------