TSTP Solution File: LAT008-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT008-1 : TPTP v8.1.2. Released v2.2.0.
% 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 : n025.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 10:46:13 EDT 2023
% Result : Unsatisfiable 4.33s 2.13s
% Output : CNFRefutation 4.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 30 unt; 4 typ; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 59 (; 59 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ meet > join > #nlpp > 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(meet,type,
meet: ( $i * $i ) > $i ).
tff(f_27,axiom,
! [X,Y] : ( meet(X,join(X,Y)) = X ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [X,Y,Z] : ( meet(X,join(Y,Z)) = join(meet(Z,X),meet(Y,X)) ),
file(unknown,unknown) ).
tff(f_32,axiom,
join(a,meet(a,b)) != a,
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1,Y_2] : ( meet(X_1,join(X_1,Y_2)) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_4,plain,
! [Z_5,X_3,Y_4] : ( join(meet(Z_5,X_3),meet(Y_4,X_3)) = meet(X_3,join(Y_4,Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_16,plain,
! [Z_8,X_9,Y_10] : ( join(meet(Z_8,X_9),meet(Y_10,X_9)) = meet(X_9,join(Y_10,Z_8)) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_34,plain,
! [Z_11,X_12,Y_13] : ( meet(meet(Z_11,X_12),meet(X_12,join(Y_13,Z_11))) = meet(Z_11,X_12) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_2]) ).
tff(c_67,plain,
! [Y_14,X_15] : ( meet(meet(Y_14,X_15),X_15) = meet(Y_14,X_15) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_34]) ).
tff(c_86,plain,
! [X_15,Y_14,Z_5] : ( meet(X_15,join(meet(Y_14,X_15),Z_5)) = join(meet(Z_5,X_15),meet(Y_14,X_15)) ),
inference(superposition,[status(thm),theory(equality)],[c_67,c_4]) ).
tff(c_104,plain,
! [X_15,Y_14,Z_5] : ( meet(X_15,join(meet(Y_14,X_15),Z_5)) = meet(X_15,join(Y_14,Z_5)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_86]) ).
tff(c_83,plain,
! [X_15,Y_4,Y_14] : ( meet(X_15,join(Y_4,meet(Y_14,X_15))) = join(meet(Y_14,X_15),meet(Y_4,X_15)) ),
inference(superposition,[status(thm),theory(equality)],[c_67,c_4]) ).
tff(c_242,plain,
! [X_25,Y_26,Y_27] : ( meet(X_25,join(Y_26,meet(Y_27,X_25))) = meet(X_25,join(Y_26,Y_27)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_83]) ).
tff(c_310,plain,
! [X_3,Y_4,Z_5] : ( meet(X_3,meet(X_3,join(Y_4,Z_5))) = meet(X_3,join(meet(Z_5,X_3),Y_4)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_242]) ).
tff(c_558,plain,
! [X_35,Y_36,Z_37] : ( meet(X_35,meet(X_35,join(Y_36,Z_37))) = meet(X_35,join(Z_37,Y_36)) ),
inference(demodulation,[status(thm),theory(equality)],[c_104,c_310]) ).
tff(c_788,plain,
! [X_42,Y_43] : ( meet(X_42,join(Y_43,X_42)) = meet(X_42,X_42) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_558]) ).
tff(c_836,plain,
! [Y_43] : ( meet(Y_43,Y_43) = Y_43 ),
inference(superposition,[status(thm),theory(equality)],[c_788,c_2]) ).
tff(c_875,plain,
! [Y_44] : ( meet(Y_44,Y_44) = Y_44 ),
inference(superposition,[status(thm),theory(equality)],[c_788,c_2]) ).
tff(c_949,plain,
! [Y_45,Y_46] : ( meet(Y_45,join(Y_46,Y_45)) = join(Y_45,meet(Y_46,Y_45)) ),
inference(superposition,[status(thm),theory(equality)],[c_875,c_4]) ).
tff(c_997,plain,
! [Y_46] : ( join(Y_46,meet(Y_46,Y_46)) = Y_46 ),
inference(superposition,[status(thm),theory(equality)],[c_949,c_2]) ).
tff(c_1032,plain,
! [Y_46] : ( join(Y_46,Y_46) = Y_46 ),
inference(demodulation,[status(thm),theory(equality)],[c_836,c_997]) ).
tff(c_1041,plain,
! [Y_47] : ( join(Y_47,Y_47) = Y_47 ),
inference(demodulation,[status(thm),theory(equality)],[c_836,c_997]) ).
tff(c_1094,plain,
! [X_3,Y_4] : ( meet(X_3,join(Y_4,Y_4)) = meet(Y_4,X_3) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1041]) ).
tff(c_1666,plain,
! [Y_60,X_61] : ( meet(Y_60,X_61) = meet(X_61,Y_60) ),
inference(demodulation,[status(thm),theory(equality)],[c_1032,c_1094]) ).
tff(c_613,plain,
! [X_1,Y_2] : ( meet(X_1,join(Y_2,X_1)) = meet(X_1,X_1) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_558]) ).
tff(c_874,plain,
! [X_1,Y_2] : ( meet(X_1,join(Y_2,X_1)) = X_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_836,c_613]) ).
tff(c_919,plain,
! [Y_44,Y_4] : ( meet(Y_44,join(Y_4,Y_44)) = join(Y_44,meet(Y_4,Y_44)) ),
inference(superposition,[status(thm),theory(equality)],[c_875,c_4]) ).
tff(c_1107,plain,
! [Y_44,Y_4] : ( join(Y_44,meet(Y_4,Y_44)) = Y_44 ),
inference(demodulation,[status(thm),theory(equality)],[c_874,c_919]) ).
tff(c_1720,plain,
! [X_61,Y_60] : ( join(X_61,meet(X_61,Y_60)) = X_61 ),
inference(superposition,[status(thm),theory(equality)],[c_1666,c_1107]) ).
tff(c_6,plain,
join(a,meet(a,b)) != a,
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_2111,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1720,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : LAT008-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.15 % 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
% 0.14/0.37 % Computer : n025.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Thu Aug 3 13:01:34 EDT 2023
% 0.14/0.37 % CPUTime :
% 4.33/2.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.33/2.14
% 4.33/2.14 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.33/2.17
% 4.33/2.17 Inference rules
% 4.33/2.17 ----------------------
% 4.33/2.17 #Ref : 0
% 4.33/2.17 #Sup : 537
% 4.33/2.17 #Fact : 0
% 4.33/2.17 #Define : 0
% 4.33/2.17 #Split : 0
% 4.33/2.17 #Chain : 0
% 4.33/2.17 #Close : 0
% 4.33/2.17
% 4.33/2.17 Ordering : KBO
% 4.33/2.17
% 4.33/2.17 Simplification rules
% 4.33/2.17 ----------------------
% 4.33/2.17 #Subsume : 1
% 4.33/2.17 #Demod : 469
% 4.33/2.17 #Tautology : 221
% 4.33/2.17 #SimpNegUnit : 0
% 4.33/2.17 #BackRed : 5
% 4.33/2.17
% 4.33/2.17 #Partial instantiations: 0
% 4.33/2.17 #Strategies tried : 1
% 4.33/2.17
% 4.33/2.17 Timing (in seconds)
% 4.33/2.17 ----------------------
% 4.33/2.17 Preprocessing : 0.38
% 4.33/2.17 Parsing : 0.21
% 4.33/2.17 CNF conversion : 0.02
% 4.33/2.17 Main loop : 0.70
% 4.33/2.17 Inferencing : 0.27
% 4.33/2.17 Reduction : 0.25
% 4.33/2.17 Demodulation : 0.20
% 4.33/2.17 BG Simplification : 0.04
% 4.33/2.17 Subsumption : 0.10
% 4.33/2.17 Abstraction : 0.05
% 4.33/2.17 MUC search : 0.00
% 4.33/2.17 Cooper : 0.00
% 4.33/2.17 Total : 1.14
% 4.33/2.17 Index Insertion : 0.00
% 4.33/2.17 Index Deletion : 0.00
% 4.33/2.17 Index Matching : 0.00
% 4.33/2.17 BG Taut test : 0.00
%------------------------------------------------------------------------------