TSTP Solution File: HWC002-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HWC002-1 : TPTP v8.1.2. Released v1.1.0.
% 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 : 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 10:42:21 EDT 2023
% Result : Unsatisfiable 100.91s 65.60s
% Output : CNFRefutation 101.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 29
% Syntax : Number of formulae : 77 ( 65 unt; 12 typ; 0 def)
% Number of atoms : 65 ( 57 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 9 >; 8 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-4 aty)
% Number of variables : 134 (; 134 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ circuit > table > or > connect > and > #nlpp > top > not > middle > bottom > nil > n1 > n0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(circuit,type,
circuit: ( $i * $i * $i ) > $o ).
tff(top,type,
top: $i > $i ).
tff(connect,type,
connect: ( $i * $i ) > $i ).
tff(bottom,type,
bottom: $i > $i ).
tff(n1,type,
n1: $i ).
tff(or,type,
or: ( $i * $i ) > $i ).
tff(not,type,
not: $i > $i ).
tff(table,type,
table: ( $i * $i * $i * $i ) > $i ).
tff(n0,type,
n0: $i ).
tff(middle,type,
middle: $i > $i ).
tff(and,type,
and: ( $i * $i ) > $i ).
tff(nil,type,
nil: $i ).
tff(f_145,axiom,
! [X,Y] : circuit(top(X),Y,bottom(X)),
file(unknown,unknown) ).
tff(f_160,axiom,
! [X] : ( connect(nil,X) = X ),
file(unknown,unknown) ).
tff(f_156,axiom,
not(nil) = nil,
file(unknown,unknown) ).
tff(f_157,axiom,
table(n0,n0,n0,n0) = nil,
file(unknown,unknown) ).
tff(f_149,axiom,
! [X] : ( and(nil,X) = X ),
file(unknown,unknown) ).
tff(f_48,axiom,
and(n0,n0) = n0,
file(unknown,unknown) ).
tff(f_147,axiom,
! [X3,Y3,Y1,X1,Y2,X2,X4,Y4] : ( and(table(X1,X2,X3,X4),table(Y1,Y2,Y3,Y4)) = table(and(X1,Y1),and(X2,Y2),and(X3,Y3),and(X4,Y4)) ),
file(unknown,unknown) ).
tff(f_49,axiom,
and(n0,n1) = n0,
file(unknown,unknown) ).
tff(f_153,axiom,
! [X] : ( or(nil,X) = X ),
file(unknown,unknown) ).
tff(f_158,axiom,
table(n1,n1,n1,n1) = nil,
file(unknown,unknown) ).
tff(f_54,axiom,
or(n1,n0) = n1,
file(unknown,unknown) ).
tff(f_151,axiom,
! [X3,Y3,Y1,X1,Y2,X2,X4,Y4] : ( or(table(X1,X2,X3,X4),table(Y1,Y2,Y3,Y4)) = table(or(X1,Y1),or(X2,Y2),or(X3,Y3),or(X4,Y4)) ),
file(unknown,unknown) ).
tff(f_55,axiom,
or(n1,n1) = n1,
file(unknown,unknown) ).
tff(f_57,axiom,
not(n1) = n0,
file(unknown,unknown) ).
tff(f_56,axiom,
not(n0) = n1,
file(unknown,unknown) ).
tff(f_155,axiom,
! [X1,X2,X3,X4] : ( not(table(X1,X2,X3,X4)) = table(not(X1),not(X2),not(X3),not(X4)) ),
file(unknown,unknown) ).
tff(f_166,axiom,
~ circuit(top(connect(table(n0,n1,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n1),nil))),
file(unknown,unknown) ).
tff(c_52,plain,
! [X_73,Y_74] : circuit(top(X_73),Y_74,bottom(X_73)),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_70,plain,
! [X_97] : ( connect(nil,X_97) = X_97 ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_64,plain,
not(nil) = nil,
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_66,plain,
table(n0,n0,n0,n0) = nil,
inference(cnfTransformation,[status(thm)],[f_157]) ).
tff(c_56,plain,
! [X_83] : ( and(nil,X_83) = X_83 ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_2,plain,
and(n0,n0) = n0,
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_2719,plain,
! [X1_162,X4_167,X3_168,Y4_163,Y3_166,Y1_169,Y2_164,X2_165] : ( table(and(X1_162,Y1_169),and(X2_165,Y2_164),and(X3_168,Y3_166),and(X4_167,Y4_163)) = and(table(X1_162,X2_165,X3_168,X4_167),table(Y1_169,Y2_164,Y3_166,Y4_163)) ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_2743,plain,
! [X1_162,X4_167,X3_168,Y4_163,Y3_166,Y1_169] : ( table(and(X1_162,Y1_169),n0,and(X3_168,Y3_166),and(X4_167,Y4_163)) = and(table(X1_162,n0,X3_168,X4_167),table(Y1_169,n0,Y3_166,Y4_163)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_2719]) ).
tff(c_4,plain,
and(n0,n1) = n0,
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_2755,plain,
! [X1_162,X4_167,X3_168,Y4_163,Y3_166,Y1_169] : ( table(and(X1_162,Y1_169),n0,and(X3_168,Y3_166),and(X4_167,Y4_163)) = and(table(X1_162,n0,X3_168,X4_167),table(Y1_169,n1,Y3_166,Y4_163)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2719]) ).
tff(c_185367,plain,
! [X4_1284,Y1_1288,X3_1285,Y3_1286,X1_1289,Y4_1287] : ( and(table(X1_1289,n0,X3_1285,X4_1284),table(Y1_1288,n1,Y3_1286,Y4_1287)) = and(table(X1_1289,n0,X3_1285,X4_1284),table(Y1_1288,n0,Y3_1286,Y4_1287)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2743,c_2755]) ).
tff(c_185786,plain,
! [Y1_1288,Y3_1286,Y4_1287] : ( and(table(n0,n0,n0,n0),table(Y1_1288,n0,Y3_1286,Y4_1287)) = and(nil,table(Y1_1288,n1,Y3_1286,Y4_1287)) ),
inference(superposition,[status(thm),theory(equality)],[c_66,c_185367]) ).
tff(c_185912,plain,
! [Y1_1288,Y3_1286,Y4_1287] : ( table(Y1_1288,n1,Y3_1286,Y4_1287) = table(Y1_1288,n0,Y3_1286,Y4_1287) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_66,c_56,c_185786]) ).
tff(c_60,plain,
! [X_92] : ( or(nil,X_92) = X_92 ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_68,plain,
table(n1,n1,n1,n1) = nil,
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_14,plain,
or(n1,n0) = n1,
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_3049,plain,
! [X1_176,X2_177,Y2_173,X4_174,Y1_175,Y3_178,Y4_179,X3_172] : ( table(or(X1_176,Y1_175),or(X2_177,Y2_173),or(X3_172,Y3_178),or(X4_174,Y4_179)) = or(table(X1_176,X2_177,X3_172,X4_174),table(Y1_175,Y2_173,Y3_178,Y4_179)) ),
inference(cnfTransformation,[status(thm)],[f_151]) ).
tff(c_3100,plain,
! [X1_176,X2_177,Y2_173,X4_174,Y1_175,Y4_179] : ( table(or(X1_176,Y1_175),or(X2_177,Y2_173),n1,or(X4_174,Y4_179)) = or(table(X1_176,X2_177,n1,X4_174),table(Y1_175,Y2_173,n0,Y4_179)) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_3049]) ).
tff(c_16,plain,
or(n1,n1) = n1,
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_3064,plain,
! [X1_176,X2_177,Y2_173,X4_174,Y1_175,Y4_179] : ( table(or(X1_176,Y1_175),or(X2_177,Y2_173),n1,or(X4_174,Y4_179)) = or(table(X1_176,X2_177,n1,X4_174),table(Y1_175,Y2_173,n1,Y4_179)) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_3049]) ).
tff(c_164312,plain,
! [Y2_1205,Y1_1204,Y4_1203,X1_1201,X2_1200,X4_1202] : ( or(table(X1_1201,X2_1200,n1,X4_1202),table(Y1_1204,Y2_1205,n1,Y4_1203)) = or(table(X1_1201,X2_1200,n1,X4_1202),table(Y1_1204,Y2_1205,n0,Y4_1203)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3100,c_3064]) ).
tff(c_164733,plain,
! [Y1_1204,Y2_1205,Y4_1203] : ( or(table(n1,n1,n1,n1),table(Y1_1204,Y2_1205,n0,Y4_1203)) = or(nil,table(Y1_1204,Y2_1205,n1,Y4_1203)) ),
inference(superposition,[status(thm),theory(equality)],[c_68,c_164312]) ).
tff(c_164859,plain,
! [Y1_1204,Y2_1205,Y4_1203] : ( table(Y1_1204,Y2_1205,n1,Y4_1203) = table(Y1_1204,Y2_1205,n0,Y4_1203) ),
inference(demodulation,[status(thm),theory(equality)],[c_60,c_68,c_60,c_164733]) ).
tff(c_2740,plain,
! [X4_167,X3_168,Y4_163,Y3_166,Y2_164,X2_165] : ( table(n0,and(X2_165,Y2_164),and(X3_168,Y3_166),and(X4_167,Y4_163)) = and(table(n0,X2_165,X3_168,X4_167),table(n0,Y2_164,Y3_166,Y4_163)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_2719]) ).
tff(c_2752,plain,
! [X4_167,X3_168,Y4_163,Y3_166,Y2_164,X2_165] : ( table(n0,and(X2_165,Y2_164),and(X3_168,Y3_166),and(X4_167,Y4_163)) = and(table(n0,X2_165,X3_168,X4_167),table(n1,Y2_164,Y3_166,Y4_163)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2719]) ).
tff(c_133667,plain,
! [Y2_1074,Y4_1073,X4_1069,Y3_1072,X2_1071,X3_1070] : ( and(table(n0,X2_1071,X3_1070,X4_1069),table(n1,Y2_1074,Y3_1072,Y4_1073)) = and(table(n0,X2_1071,X3_1070,X4_1069),table(n0,Y2_1074,Y3_1072,Y4_1073)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2740,c_2752]) ).
tff(c_133997,plain,
! [Y2_1074,Y3_1072,Y4_1073] : ( and(table(n0,n0,n0,n0),table(n0,Y2_1074,Y3_1072,Y4_1073)) = and(nil,table(n1,Y2_1074,Y3_1072,Y4_1073)) ),
inference(superposition,[status(thm),theory(equality)],[c_66,c_133667]) ).
tff(c_134099,plain,
! [Y2_1074,Y3_1072,Y4_1073] : ( table(n1,Y2_1074,Y3_1072,Y4_1073) = table(n0,Y2_1074,Y3_1072,Y4_1073) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_66,c_56,c_133997]) ).
tff(c_20,plain,
not(n1) = n0,
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_18,plain,
not(n0) = n1,
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_188,plain,
! [X1_107,X2_108,X3_109,X4_110] : ( table(not(X1_107),not(X2_108),not(X3_109),not(X4_110)) = not(table(X1_107,X2_108,X3_109,X4_110)) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_18000,plain,
! [X1_290,X2_291,X3_292] : ( table(not(X1_290),not(X2_291),not(X3_292),n1) = not(table(X1_290,X2_291,X3_292,n0)) ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_188]) ).
tff(c_40792,plain,
! [X1_360,X2_361] : ( table(not(X1_360),not(X2_361),n0,n1) = not(table(X1_360,X2_361,n1,n0)) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_18000]) ).
tff(c_42264,plain,
! [X1_364] : ( table(not(X1_364),n0,n0,n1) = not(table(X1_364,n1,n1,n0)) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_40792]) ).
tff(c_42501,plain,
not(table(n1,n1,n1,n0)) = table(n0,n0,n0,n1),
inference(superposition,[status(thm),theory(equality)],[c_20,c_42264]) ).
tff(c_134212,plain,
not(table(n0,n1,n1,n0)) = table(n0,n0,n0,n1),
inference(demodulation,[status(thm),theory(equality)],[c_134099,c_42501]) ).
tff(c_164889,plain,
not(table(n0,n1,n0,n0)) = table(n0,n0,n0,n1),
inference(demodulation,[status(thm),theory(equality)],[c_164859,c_134212]) ).
tff(c_185926,plain,
not(table(n0,n0,n0,n0)) = table(n0,n0,n0,n1),
inference(demodulation,[status(thm),theory(equality)],[c_185912,c_164889]) ).
tff(c_185999,plain,
table(n0,n0,n0,n1) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_64,c_66,c_185926]) ).
tff(c_164972,plain,
! [Y1_1206,Y2_1207,Y4_1208] : ( table(Y1_1206,Y2_1207,n1,Y4_1208) = table(Y1_1206,Y2_1207,n0,Y4_1208) ),
inference(demodulation,[status(thm),theory(equality)],[c_60,c_68,c_60,c_164733]) ).
tff(c_134292,plain,
! [Y2_1075,Y3_1076,Y4_1077] : ( table(n1,Y2_1075,Y3_1076,Y4_1077) = table(n0,Y2_1075,Y3_1076,Y4_1077) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_66,c_56,c_133997]) ).
tff(c_134429,plain,
table(n0,n1,n1,n1) = nil,
inference(superposition,[status(thm),theory(equality)],[c_134292,c_68]) ).
tff(c_165024,plain,
table(n0,n1,n0,n1) = nil,
inference(superposition,[status(thm),theory(equality)],[c_164972,c_134429]) ).
tff(c_76,plain,
~ circuit(top(connect(table(n0,n1,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n1),nil))),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_164964,plain,
~ circuit(top(connect(table(n0,n1,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n0,n1),nil))),
inference(demodulation,[status(thm),theory(equality)],[c_164859,c_76]) ).
tff(c_166309,plain,
~ circuit(top(nil),nil,bottom(connect(table(n0,n0,n0,n1),nil))),
inference(demodulation,[status(thm),theory(equality)],[c_70,c_165024,c_164964]) ).
tff(c_186610,plain,
~ circuit(top(nil),nil,bottom(connect(nil,nil))),
inference(demodulation,[status(thm),theory(equality)],[c_185999,c_166309]) ).
tff(c_186616,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_70,c_186610]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : HWC002-1 : TPTP v8.1.2. Released v1.1.0.
% 0.09/0.15 % 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
% 0.15/0.37 % Computer : n031.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 20:57:59 EDT 2023
% 0.15/0.37 % CPUTime :
% 100.91/65.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 100.91/65.61
% 100.91/65.61 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 101.02/65.64
% 101.02/65.64 Inference rules
% 101.02/65.64 ----------------------
% 101.02/65.64 #Ref : 0
% 101.02/65.64 #Sup : 57841
% 101.02/65.64 #Fact : 0
% 101.02/65.64 #Define : 0
% 101.02/65.64 #Split : 0
% 101.02/65.64 #Chain : 0
% 101.02/65.64 #Close : 0
% 101.02/65.64
% 101.02/65.64 Ordering : KBO
% 101.02/65.64
% 101.02/65.64 Simplification rules
% 101.02/65.64 ----------------------
% 101.02/65.64 #Subsume : 401
% 101.02/65.64 #Demod : 11181
% 101.02/65.64 #Tautology : 3149
% 101.02/65.64 #SimpNegUnit : 0
% 101.02/65.64 #BackRed : 374
% 101.02/65.64
% 101.02/65.64 #Partial instantiations: 0
% 101.02/65.64 #Strategies tried : 1
% 101.02/65.64
% 101.02/65.64 Timing (in seconds)
% 101.02/65.64 ----------------------
% 101.02/65.65 Preprocessing : 0.55
% 101.02/65.65 Parsing : 0.21
% 101.02/65.65 CNF conversion : 0.03
% 101.02/65.65 Main loop : 64.02
% 101.02/65.65 Inferencing : 3.85
% 101.02/65.65 Reduction : 38.97
% 101.02/65.65 Demodulation : 36.49
% 101.02/65.65 BG Simplification : 0.60
% 101.02/65.65 Subsumption : 16.04
% 101.02/65.65 Abstraction : 0.73
% 101.02/65.65 MUC search : 0.00
% 101.02/65.65 Cooper : 0.00
% 101.02/65.65 Total : 64.63
% 101.02/65.65 Index Insertion : 0.00
% 101.02/65.65 Index Deletion : 0.00
% 101.02/65.65 Index Matching : 0.00
% 101.02/65.65 BG Taut test : 0.00
%------------------------------------------------------------------------------