TSTP Solution File: LAT250-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT250-1 : 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 : n010.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 24.32s 14.06s
% Output : CNFRefutation 24.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% 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 : 6 ( 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 : 66 (; 66 !; 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,Y))))) ),
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_3063,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_352,plain,
! [Y_10] : ( join(zero,Y_10) = Y_10 ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_325]) ).
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_3679,plain,
! [X_89,Z_90] : ( meet(X_89,meet(complement(X_89),Z_90)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_504,c_456]) ).
tff(c_26,plain,
meet(b,a) = a,
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_1722,plain,
! [Z_65] : ( meet(b,meet(a,Z_65)) = meet(a,Z_65) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_382]) ).
tff(c_1777,plain,
! [Y_8] : ( meet(b,meet(Y_8,a)) = meet(a,Y_8) ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_1722]) ).
tff(c_3704,plain,
meet(a,complement(b)) = zero,
inference(superposition,[status(thm),theory(equality)],[c_3679,c_1777]) ).
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,Y_50))))) = meet(X_49,join(Y_50,Z_51)) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_918,plain,
! [X_18,Z_51] : ( meet(X_18,join(complement(X_18),meet(X_18,join(Z_51,zero)))) = meet(X_18,join(complement(X_18),Z_51)) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_785]) ).
tff(c_30568,plain,
! [X_254,Z_255] : ( meet(X_254,join(complement(X_254),meet(X_254,Z_255))) = meet(X_254,join(complement(X_254),Z_255)) ),
inference(demodulation,[status(thm),theory(equality)],[c_310,c_918]) ).
tff(c_30891,plain,
meet(a,join(complement(a),complement(b))) = meet(a,join(complement(a),zero)),
inference(superposition,[status(thm),theory(equality)],[c_3704,c_30568]) ).
tff(c_31062,plain,
meet(a,join(complement(a),complement(b))) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_352,c_12,c_30891]) ).
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_89518,plain,
( ( join(complement(a),complement(b)) = complement(a) )
| ( join(a,join(complement(a),complement(b))) != one ) ),
inference(superposition,[status(thm),theory(equality)],[c_31062,c_22]) ).
tff(c_89627,plain,
join(complement(a),complement(b)) = complement(a),
inference(demodulation,[status(thm),theory(equality)],[c_3063,c_89518]) ).
tff(c_89629,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29,c_89627]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT250-1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % 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
% 0.15/0.35 % Computer : n010.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 12:10:59 EDT 2023
% 0.15/0.36 % CPUTime :
% 24.32/14.06 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.32/14.07
% 24.32/14.07 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 24.49/14.09
% 24.49/14.09 Inference rules
% 24.49/14.09 ----------------------
% 24.49/14.09 #Ref : 1
% 24.49/14.09 #Sup : 22139
% 24.49/14.09 #Fact : 0
% 24.49/14.09 #Define : 0
% 24.49/14.09 #Split : 4
% 24.49/14.09 #Chain : 0
% 24.49/14.09 #Close : 0
% 24.49/14.09
% 24.49/14.09 Ordering : KBO
% 24.49/14.10
% 24.49/14.10 Simplification rules
% 24.49/14.10 ----------------------
% 24.49/14.10 #Subsume : 3052
% 24.49/14.10 #Demod : 29561
% 24.49/14.10 #Tautology : 12332
% 24.49/14.10 #SimpNegUnit : 302
% 24.49/14.10 #BackRed : 0
% 24.49/14.10
% 24.49/14.10 #Partial instantiations: 0
% 24.49/14.10 #Strategies tried : 1
% 24.49/14.10
% 24.49/14.10 Timing (in seconds)
% 24.49/14.10 ----------------------
% 24.49/14.10 Preprocessing : 0.44
% 24.49/14.10 Parsing : 0.23
% 24.49/14.10 CNF conversion : 0.02
% 24.49/14.10 Main loop : 12.59
% 24.49/14.10 Inferencing : 1.47
% 24.49/14.10 Reduction : 9.05
% 24.49/14.10 Demodulation : 8.39
% 24.49/14.10 BG Simplification : 0.16
% 24.49/14.10 Subsumption : 1.51
% 24.49/14.10 Abstraction : 0.31
% 24.49/14.10 MUC search : 0.00
% 24.49/14.10 Cooper : 0.00
% 24.49/14.10 Total : 13.08
% 24.49/14.10 Index Insertion : 0.00
% 24.49/14.10 Index Deletion : 0.00
% 24.49/14.10 Index Matching : 0.00
% 24.49/14.10 BG Taut test : 0.00
%------------------------------------------------------------------------------