TSTP Solution File: LAT249-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT249-1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n007.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 10:46:31 EDT 2023
% Result : Unsatisfiable 30.92s 18.61s
% Output : CNFRefutation 31.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 55 ( 45 unt; 7 typ; 0 def)
% Number of atoms : 53 ( 52 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 67 (; 67 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ meet > join > #nlpp > complement > zero > one > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(join,type,
join: ( $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff(complement,type,
complement: $i > $i ).
tff(one,type,
one: $i ).
tff(meet,type,
meet: ( $i * $i ) > $i ).
tff(zero,type,
zero: $i ).
tff(f_58,axiom,
! [X,Y] : ( join(X,Y) = join(Y,X) ),
file(unknown,unknown) ).
tff(f_104,axiom,
join(complement(b),complement(a)) != complement(a),
file(unknown,unknown) ).
tff(f_87,axiom,
! [X] : ( join(X,complement(X)) = one ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [X,Y] : ( meet(X,join(X,Y)) = X ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X,Y] : ( meet(X,Y) = meet(Y,X) ),
file(unknown,unknown) ).
tff(f_62,axiom,
! [X,Y,Z] : ( join(join(X,Y),Z) = join(X,join(Y,Z)) ),
file(unknown,unknown) ).
tff(f_89,axiom,
! [X] : ( meet(X,complement(X)) = zero ),
file(unknown,unknown) ).
tff(f_54,axiom,
! [X,Y] : ( join(X,meet(X,Y)) = X ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ),
file(unknown,unknown) ).
tff(f_102,axiom,
meet(b,a) = a,
file(unknown,unknown) ).
tff(f_101,axiom,
! [X,Y,Z] : ( meet(X,join(Y,Z)) = meet(X,join(Y,meet(X,join(Z,meet(X,join(Y,meet(X,Z))))))) ),
file(unknown,unknown) ).
tff(f_97,axiom,
! [X,Y] :
( ( meet(X,Y) != zero )
| ( join(X,Y) != one )
| ( complement(X) = Y ) ),
file(unknown,unknown) ).
tff(c_12,plain,
! [Y_10,X_9] : ( join(Y_10,X_9) = join(X_9,Y_10) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_28,plain,
join(complement(b),complement(a)) != complement(a),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_29,plain,
join(complement(a),complement(b)) != complement(a),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_28]) ).
tff(c_18,plain,
! [X_17] : ( join(X_17,complement(X_17)) = one ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_149,plain,
! [X_32,Y_33] : ( meet(X_32,join(X_32,Y_33)) = X_32 ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_172,plain,
! [X_34] : ( meet(X_34,one) = X_34 ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_149]) ).
tff(c_10,plain,
! [Y_8,X_7] : ( meet(Y_8,X_7) = meet(X_7,Y_8) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_206,plain,
! [X_35] : ( meet(one,X_35) = X_35 ),
inference(superposition,[status(thm),theory(equality)],[c_172,c_10]) ).
tff(c_6,plain,
! [X_3,Y_4] : ( meet(X_3,join(X_3,Y_4)) = X_3 ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_217,plain,
! [Y_4] : ( join(one,Y_4) = one ),
inference(superposition,[status(thm),theory(equality)],[c_206,c_6]) ).
tff(c_570,plain,
! [X_43,Y_44,Z_45] : ( join(join(X_43,Y_44),Z_45) = join(X_43,join(Y_44,Z_45)) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_647,plain,
! [X_17,Z_45] : ( join(X_17,join(complement(X_17),Z_45)) = join(one,Z_45) ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_570]) ).
tff(c_5261,plain,
! [X_17,Z_45] : ( join(X_17,join(complement(X_17),Z_45)) = one ),
inference(demodulation,[status(thm),theory(equality)],[c_217,c_647]) ).
tff(c_20,plain,
! [X_18] : ( meet(X_18,complement(X_18)) = zero ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_280,plain,
! [X_36,Y_37] : ( join(X_36,meet(X_36,Y_37)) = X_36 ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_325,plain,
! [X_38] : ( join(X_38,zero) = X_38 ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_280]) ).
tff(c_490,plain,
! [Y_42] : ( join(zero,Y_42) = Y_42 ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_325]) ).
tff(c_504,plain,
! [Y_42] : ( meet(zero,Y_42) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_490,c_6]) ).
tff(c_382,plain,
! [X_39,Y_40,Z_41] : ( meet(meet(X_39,Y_40),Z_41) = meet(X_39,meet(Y_40,Z_41)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_456,plain,
! [X_18,Z_41] : ( meet(X_18,meet(complement(X_18),Z_41)) = meet(zero,Z_41) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_382]) ).
tff(c_2218,plain,
! [X_70,Z_71] : ( meet(X_70,meet(complement(X_70),Z_71)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_504,c_456]) ).
tff(c_2350,plain,
! [X_72,Y_73] : ( meet(X_72,meet(Y_73,complement(X_72))) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_2218]) ).
tff(c_26,plain,
meet(b,a) = a,
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_470,plain,
! [Z_41] : ( meet(b,meet(a,Z_41)) = meet(a,Z_41) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_382]) ).
tff(c_2369,plain,
meet(a,complement(b)) = zero,
inference(superposition,[status(thm),theory(equality)],[c_2350,c_470]) ).
tff(c_352,plain,
! [Y_10] : ( join(zero,Y_10) = Y_10 ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_325]) ).
tff(c_310,plain,
! [X_18] : ( join(X_18,zero) = X_18 ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_280]) ).
tff(c_785,plain,
! [X_49,Y_50,Z_51] : ( meet(X_49,join(Y_50,meet(X_49,join(Z_51,meet(X_49,join(Y_50,meet(X_49,Z_51))))))) = meet(X_49,join(Y_50,Z_51)) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_946,plain,
! [X_18,Y_50] : ( meet(X_18,join(Y_50,meet(X_18,join(complement(X_18),meet(X_18,join(Y_50,zero)))))) = meet(X_18,join(Y_50,complement(X_18))) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_785]) ).
tff(c_29125,plain,
! [X_252,Y_253] : ( meet(X_252,join(Y_253,meet(X_252,join(complement(X_252),meet(X_252,Y_253))))) = meet(X_252,join(Y_253,complement(X_252))) ),
inference(demodulation,[status(thm),theory(equality)],[c_310,c_946]) ).
tff(c_29517,plain,
meet(a,join(complement(b),meet(a,join(complement(a),zero)))) = meet(a,join(complement(b),complement(a))),
inference(superposition,[status(thm),theory(equality)],[c_2369,c_29125]) ).
tff(c_29717,plain,
meet(a,join(complement(a),complement(b))) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_2369,c_352,c_12,c_20,c_352,c_12,c_12,c_29517]) ).
tff(c_22,plain,
! [X_19,Y_20] :
( ( complement(X_19) = Y_20 )
| ( join(X_19,Y_20) != one )
| ( meet(X_19,Y_20) != zero ) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_92039,plain,
( ( join(complement(a),complement(b)) = complement(a) )
| ( join(a,join(complement(a),complement(b))) != one ) ),
inference(superposition,[status(thm),theory(equality)],[c_29717,c_22]) ).
tff(c_92147,plain,
join(complement(a),complement(b)) = complement(a),
inference(demodulation,[status(thm),theory(equality)],[c_5261,c_92039]) ).
tff(c_92149,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29,c_92147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : LAT249-1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.15 % 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
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 12:25:23 EDT 2023
% 0.15/0.36 % CPUTime :
% 30.92/18.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.92/18.61
% 30.92/18.61 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 31.02/18.65
% 31.02/18.65 Inference rules
% 31.02/18.65 ----------------------
% 31.02/18.65 #Ref : 1
% 31.02/18.65 #Sup : 22727
% 31.02/18.65 #Fact : 0
% 31.02/18.65 #Define : 0
% 31.02/18.65 #Split : 4
% 31.02/18.65 #Chain : 0
% 31.02/18.65 #Close : 0
% 31.02/18.65
% 31.02/18.65 Ordering : KBO
% 31.02/18.65
% 31.02/18.65 Simplification rules
% 31.02/18.65 ----------------------
% 31.02/18.65 #Subsume : 3092
% 31.02/18.65 #Demod : 33865
% 31.02/18.65 #Tautology : 12514
% 31.02/18.65 #SimpNegUnit : 329
% 31.02/18.65 #BackRed : 0
% 31.02/18.65
% 31.02/18.65 #Partial instantiations: 0
% 31.02/18.65 #Strategies tried : 1
% 31.02/18.65
% 31.02/18.65 Timing (in seconds)
% 31.02/18.65 ----------------------
% 31.02/18.66 Preprocessing : 0.44
% 31.02/18.66 Parsing : 0.24
% 31.02/18.66 CNF conversion : 0.02
% 31.02/18.66 Main loop : 17.06
% 31.02/18.66 Inferencing : 1.79
% 31.02/18.66 Reduction : 12.83
% 31.02/18.66 Demodulation : 12.02
% 31.02/18.66 BG Simplification : 0.20
% 31.02/18.66 Subsumption : 1.75
% 31.02/18.66 Abstraction : 0.42
% 31.02/18.66 MUC search : 0.00
% 31.02/18.66 Cooper : 0.00
% 31.02/18.66 Total : 17.56
% 31.02/18.66 Index Insertion : 0.00
% 31.02/18.66 Index Deletion : 0.00
% 31.02/18.66 Index Matching : 0.00
% 31.02/18.66 BG Taut test : 0.00
%------------------------------------------------------------------------------