TSTP Solution File: LCL153-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL153-1 : 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/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 10:47:29 EDT 2023
% Result : Unsatisfiable 7.31s 2.83s
% Output : CNFRefutation 7.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 21
% Syntax : Number of formulae : 82 ( 73 unt; 9 typ; 0 def)
% Number of atoms : 73 ( 72 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 11 ( 6 >; 5 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 92 (; 92 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ xor > or > implies > and_star > and > #nlpp > not > x > truth > falsehood
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(truth,type,
truth: $i ).
tff(x,type,
x: $i ).
tff(falsehood,type,
falsehood: $i ).
tff(xor,type,
xor: ( $i * $i ) > $i ).
tff(or,type,
or: ( $i * $i ) > $i ).
tff(not,type,
not: $i > $i ).
tff(and_star,type,
and_star: ( $i * $i ) > $i ).
tff(and,type,
and: ( $i * $i ) > $i ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(f_48,axiom,
! [X] : ( implies(truth,X) = X ),
file(unknown,unknown) ).
tff(f_81,axiom,
! [X,Y] : ( or(X,Y) = implies(not(X),Y) ),
file(unknown,unknown) ).
tff(f_50,axiom,
! [X,Y,Z] : ( implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ),
file(unknown,unknown) ).
tff(f_85,axiom,
! [X,Y] : ( or(X,Y) = or(Y,X) ),
file(unknown,unknown) ).
tff(f_129,axiom,
not(truth) = falsehood,
file(unknown,unknown) ).
tff(f_54,axiom,
! [X,Y] : ( implies(implies(not(X),not(Y)),implies(Y,X)) = truth ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [X,Y] : ( implies(implies(X,Y),Y) = implies(implies(Y,X),X) ),
file(unknown,unknown) ).
tff(f_87,axiom,
! [X,Y] : ( and(X,Y) = not(or(not(X),not(Y))) ),
file(unknown,unknown) ).
tff(f_91,axiom,
! [X,Y] : ( and(X,Y) = and(Y,X) ),
file(unknown,unknown) ).
tff(f_118,axiom,
! [X,Y] : ( xor(X,Y) = or(and(X,not(Y)),and(not(X),Y)) ),
file(unknown,unknown) ).
tff(f_120,axiom,
! [X,Y] : ( xor(X,Y) = xor(Y,X) ),
file(unknown,unknown) ).
tff(f_133,axiom,
not(x) != xor(x,truth),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( implies(truth,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_10,plain,
! [X_9,Y_10] : ( implies(not(X_9),Y_10) = or(X_9,Y_10) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_918,plain,
! [X_68,Y_69,Z_70] : ( implies(implies(X_68,Y_69),implies(implies(Y_69,Z_70),implies(X_68,Z_70))) = truth ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_1069,plain,
! [X_1,Z_70] : ( implies(X_1,implies(implies(X_1,Z_70),implies(truth,Z_70))) = truth ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_918]) ).
tff(c_1097,plain,
! [X_71,Z_72] : ( implies(X_71,implies(implies(X_71,Z_72),Z_72)) = truth ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1069]) ).
tff(c_1135,plain,
! [Z_72] : ( implies(implies(truth,Z_72),Z_72) = truth ),
inference(superposition,[status(thm),theory(equality)],[c_1097,c_2]) ).
tff(c_1219,plain,
! [Z_73] : ( implies(Z_73,Z_73) = truth ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1135]) ).
tff(c_1346,plain,
! [X_76] : ( or(X_76,not(X_76)) = truth ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_1219]) ).
tff(c_14,plain,
! [Y_15,X_14] : ( or(Y_15,X_14) = or(X_14,Y_15) ),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_32,plain,
not(truth) = falsehood,
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_8,plain,
! [X_7,Y_8] : ( implies(implies(not(X_7),not(Y_8)),implies(Y_8,X_7)) = truth ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_304,plain,
! [X_50,Y_51] : ( implies(or(X_50,not(Y_51)),implies(Y_51,X_50)) = truth ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8]) ).
tff(c_338,plain,
! [X_1] : ( implies(or(X_1,not(truth)),X_1) = truth ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_304]) ).
tff(c_346,plain,
! [X_52] : ( implies(or(X_52,falsehood),X_52) = truth ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_338]) ).
tff(c_361,plain,
! [X_14] : ( implies(or(falsehood,X_14),X_14) = truth ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_346]) ).
tff(c_1371,plain,
implies(truth,not(falsehood)) = truth,
inference(superposition,[status(thm),theory(equality)],[c_1346,c_361]) ).
tff(c_1095,plain,
! [X_1,Z_70] : ( implies(X_1,implies(implies(X_1,Z_70),Z_70)) = truth ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1069]) ).
tff(c_1616,plain,
implies(truth,implies(truth,not(falsehood))) = truth,
inference(superposition,[status(thm),theory(equality)],[c_1371,c_1095]) ).
tff(c_1646,plain,
not(falsehood) = truth,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_1616]) ).
tff(c_1699,plain,
! [Y_10] : ( or(falsehood,Y_10) = implies(truth,Y_10) ),
inference(superposition,[status(thm),theory(equality)],[c_1646,c_10]) ).
tff(c_1729,plain,
! [Y_79] : ( or(falsehood,Y_79) = Y_79 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1699]) ).
tff(c_1754,plain,
! [Y_79] : ( or(Y_79,falsehood) = Y_79 ),
inference(superposition,[status(thm),theory(equality)],[c_1729,c_14]) ).
tff(c_1204,plain,
! [Z_72] : ( implies(Z_72,Z_72) = truth ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1135]) ).
tff(c_541,plain,
! [Y_58,X_59] : ( implies(implies(Y_58,X_59),X_59) = implies(implies(X_59,Y_58),Y_58) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_580,plain,
! [X_1] : ( implies(implies(X_1,truth),truth) = implies(X_1,X_1) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_541]) ).
tff(c_1158,plain,
! [X_1] : ( implies(X_1,implies(X_1,X_1)) = truth ),
inference(superposition,[status(thm),theory(equality)],[c_580,c_1097]) ).
tff(c_1957,plain,
! [X_83] : ( implies(X_83,truth) = truth ),
inference(demodulation,[status(thm),theory(equality)],[c_1204,c_1158]) ).
tff(c_2001,plain,
! [X_9] : ( or(X_9,truth) = truth ),
inference(superposition,[status(thm),theory(equality)],[c_1957,c_10]) ).
tff(c_162,plain,
! [X_43,Y_44] : ( implies(not(X_43),Y_44) = or(X_43,Y_44) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_174,plain,
! [Y_45] : ( or(truth,Y_45) = implies(falsehood,Y_45) ),
inference(superposition,[status(thm),theory(equality)],[c_32,c_162]) ).
tff(c_190,plain,
! [Y_15] : ( or(Y_15,truth) = implies(falsehood,Y_15) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_174]) ).
tff(c_2109,plain,
! [Y_85] : ( implies(falsehood,Y_85) = truth ),
inference(demodulation,[status(thm),theory(equality)],[c_2001,c_190]) ).
tff(c_6,plain,
! [Y_6,X_5] : ( implies(implies(Y_6,X_5),X_5) = implies(implies(X_5,Y_6),Y_6) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_2138,plain,
! [Y_85] : ( implies(implies(Y_85,falsehood),falsehood) = implies(truth,Y_85) ),
inference(superposition,[status(thm),theory(equality)],[c_2109,c_6]) ).
tff(c_2469,plain,
! [Y_91] : ( implies(implies(Y_91,falsehood),falsehood) = Y_91 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2138]) ).
tff(c_2539,plain,
! [X_9] : ( implies(or(X_9,falsehood),falsehood) = not(X_9) ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_2469]) ).
tff(c_2562,plain,
! [X_9] : ( implies(X_9,falsehood) = not(X_9) ),
inference(demodulation,[status(thm),theory(equality)],[c_1754,c_2539]) ).
tff(c_2046,plain,
! [Y_15] : ( implies(falsehood,Y_15) = truth ),
inference(demodulation,[status(thm),theory(equality)],[c_2001,c_190]) ).
tff(c_171,plain,
! [Y_44] : ( or(truth,Y_44) = implies(falsehood,Y_44) ),
inference(superposition,[status(thm),theory(equality)],[c_32,c_162]) ).
tff(c_16,plain,
! [X_16,Y_17] : ( not(or(not(X_16),not(Y_17))) = and(X_16,Y_17) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_1696,plain,
! [X_16] : ( not(or(not(X_16),truth)) = and(X_16,falsehood) ),
inference(superposition,[status(thm),theory(equality)],[c_1646,c_16]) ).
tff(c_1713,plain,
! [X_16] : ( not(implies(falsehood,not(X_16))) = and(X_16,falsehood) ),
inference(demodulation,[status(thm),theory(equality)],[c_171,c_14,c_1696]) ).
tff(c_7625,plain,
! [X_157] : ( and(X_157,falsehood) = falsehood ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_2046,c_1713]) ).
tff(c_20,plain,
! [Y_22,X_21] : ( and(Y_22,X_21) = and(X_21,Y_22) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_7661,plain,
! [X_157] : ( and(falsehood,X_157) = falsehood ),
inference(superposition,[status(thm),theory(equality)],[c_7625,c_20]) ).
tff(c_2165,plain,
! [Y_85] : ( implies(implies(Y_85,falsehood),falsehood) = Y_85 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2138]) ).
tff(c_2675,plain,
! [Y_93] : ( not(not(Y_93)) = Y_93 ),
inference(demodulation,[status(thm),theory(equality)],[c_2562,c_2562,c_2165]) ).
tff(c_2717,plain,
! [Y_93,Y_10] : ( or(not(Y_93),Y_10) = implies(Y_93,Y_10) ),
inference(superposition,[status(thm),theory(equality)],[c_2675,c_10]) ).
tff(c_2564,plain,
! [Y_85] : ( not(not(Y_85)) = Y_85 ),
inference(demodulation,[status(thm),theory(equality)],[c_2562,c_2562,c_2165]) ).
tff(c_1714,plain,
! [Y_10] : ( or(falsehood,Y_10) = Y_10 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1699]) ).
tff(c_197,plain,
! [X_46,Y_47] : ( not(or(not(X_46),not(Y_47))) = and(X_46,Y_47) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_227,plain,
! [Y_47] : ( not(or(falsehood,not(Y_47))) = and(truth,Y_47) ),
inference(superposition,[status(thm),theory(equality)],[c_32,c_197]) ).
tff(c_1726,plain,
! [Y_47] : ( not(not(Y_47)) = and(truth,Y_47) ),
inference(demodulation,[status(thm),theory(equality)],[c_1714,c_227]) ).
tff(c_3418,plain,
! [Y_47] : ( and(truth,Y_47) = Y_47 ),
inference(demodulation,[status(thm),theory(equality)],[c_2564,c_1726]) ).
tff(c_1272,plain,
! [X_74,Y_75] : ( or(and(X_74,not(Y_75)),and(not(X_74),Y_75)) = xor(X_74,Y_75) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_1337,plain,
! [Y_75] : ( or(and(truth,not(Y_75)),and(falsehood,Y_75)) = xor(truth,Y_75) ),
inference(superposition,[status(thm),theory(equality)],[c_32,c_1272]) ).
tff(c_8948,plain,
! [Y_75] : ( xor(truth,Y_75) = not(Y_75) ),
inference(demodulation,[status(thm),theory(equality)],[c_2562,c_7661,c_2717,c_3418,c_1337]) ).
tff(c_24,plain,
! [Y_26,X_25] : ( xor(Y_26,X_25) = xor(X_25,Y_26) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_34,plain,
xor(x,truth) != not(x),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_35,plain,
xor(truth,x) != not(x),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_34]) ).
tff(c_8951,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8948,c_35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL153-1 : TPTP v8.1.2. Released v1.0.0.
% 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
% 0.15/0.35 % Computer : n001.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 14:29:10 EDT 2023
% 0.15/0.36 % CPUTime :
% 7.31/2.83 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.31/2.84
% 7.31/2.84 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.31/2.87
% 7.31/2.87 Inference rules
% 7.31/2.87 ----------------------
% 7.31/2.87 #Ref : 0
% 7.31/2.87 #Sup : 2223
% 7.31/2.87 #Fact : 0
% 7.31/2.87 #Define : 0
% 7.31/2.87 #Split : 0
% 7.31/2.87 #Chain : 0
% 7.31/2.87 #Close : 0
% 7.31/2.87
% 7.31/2.87 Ordering : KBO
% 7.31/2.87
% 7.31/2.87 Simplification rules
% 7.31/2.87 ----------------------
% 7.31/2.87 #Subsume : 55
% 7.31/2.87 #Demod : 2314
% 7.31/2.87 #Tautology : 1457
% 7.31/2.87 #SimpNegUnit : 0
% 7.31/2.87 #BackRed : 18
% 7.31/2.87
% 7.31/2.87 #Partial instantiations: 0
% 7.31/2.87 #Strategies tried : 1
% 7.31/2.87
% 7.31/2.87 Timing (in seconds)
% 7.31/2.87 ----------------------
% 7.31/2.87 Preprocessing : 0.51
% 7.31/2.87 Parsing : 0.28
% 7.31/2.87 CNF conversion : 0.02
% 7.31/2.87 Main loop : 1.24
% 7.31/2.88 Inferencing : 0.35
% 7.31/2.88 Reduction : 0.57
% 7.31/2.88 Demodulation : 0.49
% 7.31/2.88 BG Simplification : 0.06
% 7.31/2.88 Subsumption : 0.18
% 7.31/2.88 Abstraction : 0.05
% 7.31/2.88 MUC search : 0.00
% 7.31/2.88 Cooper : 0.00
% 7.31/2.88 Total : 1.81
% 7.31/2.88 Index Insertion : 0.00
% 7.31/2.88 Index Deletion : 0.00
% 7.31/2.88 Index Matching : 0.00
% 7.31/2.88 BG Taut test : 0.00
%------------------------------------------------------------------------------