%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LAT045-1 : TPTP v9.0.0. Released v2.5.0.
% 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 : n031.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 07:11:15 PM UTC 2025
% Result : Unsatisfiable 41.31s 29.18s
% Output : CNFRefutation 41.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 17 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 : 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 : 29 ( 29 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ meet > join > #nlpp > complement > n1 > n0 > 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(n1,type,
n1: $i ).
tff(complement,type,
complement: $i > $i ).
tff(n0,type,
n0: $i ).
tff(meet,type,
meet: ( $i * $i ) > $i ).
tff(f_72,axiom,
! [X] : ( join(complement(X),X) = n1 ),
file(unknown,unknown) ).
tff(f_58,axiom,
! [X,Y] : ( join(X,Y) = join(Y,X) ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [X,Y] : ( meet(X,join(X,Y)) = X ),
file(unknown,unknown) ).
tff(f_79,axiom,
! [X,Y,Z] : ( join(X,meet(Y,join(X,Z))) = meet(join(X,Y),join(X,Z)) ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X,Y] : ( meet(X,Y) = meet(Y,X) ),
file(unknown,unknown) ).
tff(f_82,axiom,
join(a,meet(complement(a),join(a,b))) != join(a,b),
file(unknown,unknown) ).
tff(c_22,plain,
! [X_21] : ( join(complement(X_21),X_21) = n1 ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_86,plain,
! [Y_32,X_33] : ( join(Y_32,X_33) = join(X_33,Y_32) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_124,plain,
! [X_21] : ( join(X_21,complement(X_21)) = n1 ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_86]) ).
tff(c_156,plain,
! [X_36,Y_37] : ( meet(X_36,join(X_36,Y_37)) = X_36 ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_165,plain,
! [X_21] : ( meet(X_21,n1) = X_21 ),
inference(superposition,[status(thm),theory(equality)],[c_124,c_156]) ).
tff(c_1203,plain,
! [X_60,Y_61,Z_62] : ( meet(join(X_60,Y_61),join(X_60,Z_62)) = join(X_60,meet(Y_61,join(X_60,Z_62))) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
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_71494,plain,
! [X_393,Z_394,Y_395] : ( meet(join(X_393,Z_394),join(X_393,Y_395)) = join(X_393,meet(Y_395,join(X_393,Z_394))) ),
inference(superposition,[status(thm),theory(equality)],[c_1203,c_10]) ).
tff(c_72206,plain,
! [X_21,Z_394] : ( join(X_21,meet(complement(X_21),join(X_21,Z_394))) = meet(join(X_21,Z_394),n1) ),
inference(superposition,[status(thm),theory(equality)],[c_124,c_71494]) ).
tff(c_72415,plain,
! [X_21,Z_394] : ( join(X_21,meet(complement(X_21),join(X_21,Z_394))) = join(X_21,Z_394) ),
inference(demodulation,[status(thm),theory(equality)],[c_165,c_72206]) ).
tff(c_30,plain,
join(a,meet(complement(a),join(a,b))) != join(a,b),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_185585,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_72415,c_30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT045-1 : TPTP v9.0.0. Released v2.5.0.
% 0.11/0.13 % 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
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 8 03:26:22 EDT 2025
% 0.14/0.34 % CPUTime :
% 41.31/29.18 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 41.31/29.19
% 41.31/29.19 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------