%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LAT251-1 : TPTP v9.0.0. Released v3.1.0.
% 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 : n020.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 : Wed Apr 9 07:11:33 PM UTC 2025
% Result : Unsatisfiable 28.95s 15.76s
% Output : CNFRefutation 28.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 51 ( 48 unt; 0 typ; 0 def)
% Number of atoms : 56 ( 55 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 : 0 ( 0 >; 0 *; 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_50,axiom,
! [X] : ( join(X,X) = X ),
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_102,axiom,
meet(b,a) = a,
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_101,axiom,
! [X,Y,Z] : ( meet(X,join(Y,Z)) = join(meet(X,join(Z,meet(X,Y))),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_5311,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_4,plain,
! [X_2] : ( join(X_2,X_2) = X_2 ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
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_711,plain,
! [Y_48] : ( meet(zero,Y_48) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_490,c_6]) ).
tff(c_757,plain,
! [Y_8] : ( meet(Y_8,zero) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_711]) ).
tff(c_99,plain,
! [Y_30,X_31] : ( meet(Y_30,X_31) = meet(X_31,Y_30) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_26,plain,
meet(b,a) = a,
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_114,plain,
meet(a,b) = a,
inference(superposition,[status(thm),theory(equality)],[c_99,c_26]) ).
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_2418,plain,
! [Z_73] : ( meet(a,meet(b,Z_73)) = meet(a,Z_73) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_382]) ).
tff(c_2489,plain,
meet(a,complement(b)) = meet(a,zero),
inference(superposition,[status(thm),theory(equality)],[c_20,c_2418]) ).
tff(c_2511,plain,
meet(a,complement(b)) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_757,c_2489]) ).
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,Z_50,Y_51] : ( join(meet(X_49,join(Z_50,meet(X_49,Y_51))),meet(X_49,join(Y_51,meet(X_49,Z_50)))) = meet(X_49,join(Y_51,Z_50)) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_949,plain,
! [X_18,Y_51] : ( join(meet(X_18,join(complement(X_18),meet(X_18,Y_51))),meet(X_18,join(Y_51,zero))) = meet(X_18,join(Y_51,complement(X_18))) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_785]) ).
tff(c_32935,plain,
! [X_258,Y_259] : ( join(meet(X_258,Y_259),meet(X_258,join(complement(X_258),meet(X_258,Y_259)))) = meet(X_258,join(Y_259,complement(X_258))) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_310,c_949]) ).
tff(c_33350,plain,
join(zero,meet(a,join(complement(a),meet(a,complement(b))))) = meet(a,join(complement(b),complement(a))),
inference(superposition,[status(thm),theory(equality)],[c_2511,c_32935]) ).
tff(c_33583,plain,
meet(a,join(complement(a),complement(b))) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20,c_352,c_12,c_2511,c_12,c_33350]) ).
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_89777,plain,
( ( join(complement(a),complement(b)) = complement(a) )
| ( join(a,join(complement(a),complement(b))) != one ) ),
inference(superposition,[status(thm),theory(equality)],[c_33583,c_22]) ).
tff(c_89898,plain,
join(complement(a),complement(b)) = complement(a),
inference(demodulation,[status(thm),theory(equality)],[c_5311,c_89777]) ).
tff(c_89900,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29,c_89898]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LAT251-1 : TPTP v9.0.0. Released v3.1.0.
% 0.02/0.11 % 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
% 0.12/0.32 % Computer : n020.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Apr 8 03:56:19 EDT 2025
% 0.12/0.32 % CPUTime :
% 28.95/15.76 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.95/15.77
% 28.95/15.77 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------