TSTP Solution File: RNG006-3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG006-3 : TPTP v8.1.2. Released v1.0.0.
% 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 : n019.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 10:54:41 EDT 2023
% Result : Unsatisfiable 48.74s 34.91s
% Output : CNFRefutation 48.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 27
% Syntax : Number of formulae : 63 ( 26 unt; 13 typ; 0 def)
% Number of atoms : 102 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 106 ( 54 ~; 52 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 5 >; 6 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 105 (; 105 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > product > multiply > add > #nlpp > additive_inverse > c > bS_Ic > b > additive_identity > aPc > aPb_S_IaPc > aPb > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(aPc,type,
aPc: $i ).
tff(sum,type,
sum: ( $i * $i * $i ) > $o ).
tff(aPb,type,
aPb: $i ).
tff(a,type,
a: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(additive_identity,type,
additive_identity: $i ).
tff(bS_Ic,type,
bS_Ic: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(additive_inverse,type,
additive_inverse: $i > $i ).
tff(b,type,
b: $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(aPb_S_IaPc,type,
aPb_S_IaPc: $i ).
tff(c,type,
c: $i ).
tff(f_185,axiom,
~ product(a,bS_Ic,aPb_S_IaPc),
file(unknown,unknown) ).
tff(f_181,axiom,
product(a,b,aPb),
file(unknown,unknown) ).
tff(f_49,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file(unknown,unknown) ).
tff(f_182,axiom,
product(a,c,aPc),
file(unknown,unknown) ).
tff(f_45,axiom,
! [X] : sum(additive_identity,X,X),
file(unknown,unknown) ).
tff(f_118,axiom,
! [V3,Z,V1,X,Y,V2,V4] :
( ~ product(X,Y,V1)
| ~ product(X,Z,V2)
| ~ sum(Y,Z,V3)
| ~ product(X,V3,V4)
| sum(V1,V2,V4) ),
file(unknown,unknown) ).
tff(f_55,axiom,
! [X] : sum(X,additive_inverse(X),additive_identity),
file(unknown,unknown) ).
tff(f_47,axiom,
! [X] : sum(X,additive_identity,X),
file(unknown,unknown) ).
tff(f_77,axiom,
! [W,U,Z,X,Y,V] :
( ~ sum(X,Y,U)
| ~ sum(Y,Z,V)
| ~ sum(X,V,W)
| sum(U,Z,W) ),
file(unknown,unknown) ).
tff(f_169,axiom,
! [X,Y,U,V] :
( ~ sum(X,Y,U)
| ~ sum(X,Y,V)
| ( U = V ) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : sum(additive_inverse(X),X,additive_identity),
file(unknown,unknown) ).
tff(f_180,axiom,
sum(b,additive_inverse(c),bS_Ic),
file(unknown,unknown) ).
tff(f_183,axiom,
sum(aPb,additive_inverse(aPc),aPb_S_IaPc),
file(unknown,unknown) ).
tff(f_132,axiom,
! [V3,Z,V1,X,Y,V2,V4] :
( ~ product(X,Y,V1)
| ~ product(X,Z,V2)
| ~ sum(Y,Z,V3)
| ~ sum(V1,V2,V4)
| product(X,V3,V4) ),
file(unknown,unknown) ).
tff(c_44,plain,
~ product(a,bS_Ic,aPb_S_IaPc),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_38,plain,
product(a,b,aPb),
inference(cnfTransformation,[status(thm)],[f_181]) ).
tff(c_6,plain,
! [X_3,Y_4] : product(X_3,Y_4,multiply(X_3,Y_4)),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_40,plain,
product(a,c,aPc),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_2,plain,
! [X_1] : sum(additive_identity,X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_1018,plain,
! [V4_192,Y_193,Z_194,V3_191,V2_196,X_197,V1_195] :
( sum(V1_195,V2_196,V4_192)
| ~ product(X_197,V3_191,V4_192)
| ~ sum(Y_193,Z_194,V3_191)
| ~ product(X_197,Z_194,V2_196)
| ~ product(X_197,Y_193,V1_195) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_10280,plain,
! [Z_439,V2_443,X_442,Y_444,Y_441,V1_440] :
( sum(V1_440,V2_443,multiply(X_442,Y_444))
| ~ sum(Y_441,Z_439,Y_444)
| ~ product(X_442,Z_439,V2_443)
| ~ product(X_442,Y_441,V1_440) ),
inference(resolution,[status(thm)],[c_6,c_1018]) ).
tff(c_129941,plain,
! [V1_1401,V2_1402,X_1403,X_1404] :
( sum(V1_1401,V2_1402,multiply(X_1403,X_1404))
| ~ product(X_1403,X_1404,V2_1402)
| ~ product(X_1403,additive_identity,V1_1401) ),
inference(resolution,[status(thm)],[c_2,c_10280]) ).
tff(c_12,plain,
! [X_8] : sum(X_8,additive_inverse(X_8),additive_identity),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_4,plain,
! [X_2] : sum(X_2,additive_identity,X_2),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_274,plain,
! [X_103,Y_106,V_105,W_101,Z_102,U_104] :
( sum(U_104,Z_102,W_101)
| ~ sum(X_103,V_105,W_101)
| ~ sum(Y_106,Z_102,V_105)
| ~ sum(X_103,Y_106,U_104) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_1292,plain,
! [U_213,Z_214,X_215,Y_216] :
( sum(U_213,Z_214,X_215)
| ~ sum(Y_216,Z_214,additive_identity)
| ~ sum(X_215,Y_216,U_213) ),
inference(resolution,[status(thm)],[c_4,c_274]) ).
tff(c_15416,plain,
! [U_493,X_494,X_495] :
( sum(U_493,additive_inverse(X_494),X_495)
| ~ sum(X_495,X_494,U_493) ),
inference(resolution,[status(thm)],[c_12,c_1292]) ).
tff(c_90,plain,
! [V_85,U_86,X_87,Y_88] :
( ( V_85 = U_86 )
| ~ sum(X_87,Y_88,V_85)
| ~ sum(X_87,Y_88,U_86) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_117,plain,
! [U_86,X_8] :
( ( additive_identity = U_86 )
| ~ sum(X_8,additive_inverse(X_8),U_86) ),
inference(resolution,[status(thm)],[c_12,c_90]) ).
tff(c_15617,plain,
! [X_495,X_494] :
( ( additive_identity = X_495 )
| ~ sum(X_495,X_494,X_494) ),
inference(resolution,[status(thm)],[c_15416,c_117]) ).
tff(c_130540,plain,
! [V1_1401,X_1403,X_1404] :
( ( additive_identity = V1_1401 )
| ~ product(X_1403,X_1404,multiply(X_1403,X_1404))
| ~ product(X_1403,additive_identity,V1_1401) ),
inference(resolution,[status(thm)],[c_129941,c_15617]) ).
tff(c_131289,plain,
! [V1_1411,X_1412] :
( ( additive_identity = V1_1411 )
| ~ product(X_1412,additive_identity,V1_1411) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_130540]) ).
tff(c_131330,plain,
! [X_3] : ( multiply(X_3,additive_identity) = additive_identity ),
inference(resolution,[status(thm)],[c_6,c_131289]) ).
tff(c_10,plain,
! [X_7] : sum(additive_inverse(X_7),X_7,additive_identity),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_10419,plain,
! [V1_440,V2_443,X_442,X_7] :
( sum(V1_440,V2_443,multiply(X_442,additive_identity))
| ~ product(X_442,X_7,V2_443)
| ~ product(X_442,additive_inverse(X_7),V1_440) ),
inference(resolution,[status(thm)],[c_10,c_10280]) ).
tff(c_180829,plain,
! [V1_1754,V2_1755,X_1756,X_1757] :
( sum(V1_1754,V2_1755,additive_identity)
| ~ product(X_1756,X_1757,V2_1755)
| ~ product(X_1756,additive_inverse(X_1757),V1_1754) ),
inference(demodulation,[status(thm),theory(equality)],[c_131330,c_10419]) ).
tff(c_180957,plain,
! [V1_1760] :
( sum(V1_1760,aPc,additive_identity)
| ~ product(a,additive_inverse(c),V1_1760) ),
inference(resolution,[status(thm)],[c_40,c_180829]) ).
tff(c_180987,plain,
sum(multiply(a,additive_inverse(c)),aPc,additive_identity),
inference(resolution,[status(thm)],[c_6,c_180957]) ).
tff(c_119,plain,
! [X_1,U_86] :
( ( X_1 = U_86 )
| ~ sum(additive_identity,X_1,U_86) ),
inference(resolution,[status(thm)],[c_2,c_90]) ).
tff(c_15619,plain,
! [X_494,X_495] :
( ( additive_inverse(X_494) = X_495 )
| ~ sum(X_495,X_494,additive_identity) ),
inference(resolution,[status(thm)],[c_15416,c_119]) ).
tff(c_183132,plain,
multiply(a,additive_inverse(c)) = additive_inverse(aPc),
inference(resolution,[status(thm)],[c_180987,c_15619]) ).
tff(c_183711,plain,
product(a,additive_inverse(c),additive_inverse(aPc)),
inference(superposition,[status(thm),theory(equality)],[c_183132,c_6]) ).
tff(c_36,plain,
sum(b,additive_inverse(c),bS_Ic),
inference(cnfTransformation,[status(thm)],[f_180]) ).
tff(c_42,plain,
sum(aPb,additive_inverse(aPc),aPb_S_IaPc),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_875,plain,
! [Z_163,X_165,Y_161,V4_166,V1_164,V2_162,V3_160] :
( product(X_165,V3_160,V4_166)
| ~ sum(V1_164,V2_162,V4_166)
| ~ sum(Y_161,Z_163,V3_160)
| ~ product(X_165,Z_163,V2_162)
| ~ product(X_165,Y_161,V1_164) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_8294,plain,
! [X_389,V3_390,Y_391,Z_392] :
( product(X_389,V3_390,aPb_S_IaPc)
| ~ sum(Y_391,Z_392,V3_390)
| ~ product(X_389,Z_392,additive_inverse(aPc))
| ~ product(X_389,Y_391,aPb) ),
inference(resolution,[status(thm)],[c_42,c_875]) ).
tff(c_8419,plain,
! [X_389] :
( product(X_389,bS_Ic,aPb_S_IaPc)
| ~ product(X_389,additive_inverse(c),additive_inverse(aPc))
| ~ product(X_389,b,aPb) ),
inference(resolution,[status(thm)],[c_36,c_8294]) ).
tff(c_183804,plain,
( product(a,bS_Ic,aPb_S_IaPc)
| ~ product(a,b,aPb) ),
inference(resolution,[status(thm)],[c_183711,c_8419]) ).
tff(c_183863,plain,
product(a,bS_Ic,aPb_S_IaPc),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_183804]) ).
tff(c_183865,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44,c_183863]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG006-3 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % 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
% 0.14/0.36 % Computer : n019.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 18:04:46 EDT 2023
% 0.20/0.36 % CPUTime :
% 48.74/34.91 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 48.74/34.92
% 48.74/34.92 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 48.88/34.96
% 48.88/34.96 Inference rules
% 48.88/34.96 ----------------------
% 48.88/34.96 #Ref : 0
% 48.88/34.96 #Sup : 42157
% 48.88/34.96 #Fact : 0
% 48.88/34.96 #Define : 0
% 48.88/34.96 #Split : 78
% 48.88/34.96 #Chain : 0
% 48.88/34.96 #Close : 0
% 48.88/34.96
% 48.88/34.96 Ordering : KBO
% 48.88/34.96
% 48.88/34.96 Simplification rules
% 48.88/34.96 ----------------------
% 48.88/34.96 #Subsume : 12057
% 48.88/34.96 #Demod : 16625
% 48.88/34.96 #Tautology : 6063
% 48.88/34.96 #SimpNegUnit : 722
% 48.88/34.96 #BackRed : 23
% 48.88/34.96
% 48.88/34.96 #Partial instantiations: 0
% 48.88/34.96 #Strategies tried : 1
% 48.88/34.96
% 48.88/34.96 Timing (in seconds)
% 48.88/34.96 ----------------------
% 48.88/34.96 Preprocessing : 0.48
% 48.88/34.96 Parsing : 0.26
% 48.88/34.96 CNF conversion : 0.03
% 48.88/34.96 Main loop : 33.38
% 48.88/34.96 Inferencing : 3.17
% 48.88/34.96 Reduction : 13.90
% 48.88/34.96 Demodulation : 9.09
% 48.88/34.96 BG Simplification : 0.19
% 48.88/34.96 Subsumption : 13.05
% 48.88/34.96 Abstraction : 0.28
% 48.88/34.96 MUC search : 0.00
% 48.88/34.97 Cooper : 0.00
% 48.88/34.97 Total : 33.93
% 48.88/34.97 Index Insertion : 0.00
% 48.88/34.97 Index Deletion : 0.00
% 48.88/34.97 Index Matching : 0.00
% 48.88/34.97 BG Taut test : 0.00
%------------------------------------------------------------------------------