%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : HEN006-5 : TPTP v9.0.0. Released v1.0.0.
% 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 : Wed Apr 9 06:45:53 PM UTC 2025
% Result : Unsatisfiable 4.15s 2.06s
% Output : CNFRefutation 4.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ divide > #nlpp > zero > identity > d > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(divide,type,
divide: ( $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff(d,type,
d: $i ).
tff(identity,type,
identity: $i ).
tff(zero,type,
zero: $i ).
tff(f_77,axiom,
divide(divide(a,d),b) != zero,
file(unknown,unknown) ).
tff(f_74,axiom,
! [X] : ( divide(X,zero) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( divide(zero,X) = zero ),
file(unknown,unknown) ).
tff(f_75,axiom,
divide(divide(a,b),d) = zero,
file(unknown,unknown) ).
tff(f_54,axiom,
! [X,Z,Y] : ( divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) = zero ),
file(unknown,unknown) ).
tff(f_51,axiom,
! [X,Y] : ( divide(divide(X,Y),X) = zero ),
file(unknown,unknown) ).
tff(c_16,plain,
divide(divide(a,d),b) != zero,
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_12,plain,
! [X_10] : ( divide(X_10,zero) = X_10 ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_6,plain,
! [X_6] : ( divide(zero,X_6) = zero ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_14,plain,
divide(divide(a,b),d) = zero,
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_188,plain,
! [X_20,Z_21,Y_22] : ( divide(divide(divide(X_20,Z_21),divide(Y_22,Z_21)),divide(divide(X_20,Y_22),Z_21)) = zero ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_233,plain,
divide(divide(divide(a,d),divide(b,d)),zero) = zero,
inference(superposition,[status(thm),theory(equality)],[c_14,c_188]) ).
tff(c_4,plain,
! [X_3,Z_4,Y_5] : ( divide(divide(divide(X_3,Z_4),divide(Y_5,Z_4)),divide(divide(X_3,Y_5),Z_4)) = zero ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_770,plain,
divide(divide(divide(divide(a,d),zero),divide(divide(b,d),zero)),zero) = zero,
inference(superposition,[status(thm),theory(equality)],[c_233,c_4]) ).
tff(c_792,plain,
divide(divide(a,d),divide(b,d)) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_12,c_12,c_12,c_770]) ).
tff(c_2,plain,
! [X_1,Y_2] : ( divide(divide(X_1,Y_2),X_1) = zero ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_256,plain,
! [X_20,X_1,Y_2] : ( divide(divide(divide(X_20,X_1),zero),divide(divide(X_20,divide(X_1,Y_2)),X_1)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_188]) ).
tff(c_2047,plain,
! [X_45,X_46,Y_47] : ( divide(divide(X_45,X_46),divide(divide(X_45,divide(X_46,Y_47)),X_46)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_256]) ).
tff(c_2175,plain,
divide(divide(divide(a,d),b),divide(zero,b)) = zero,
inference(superposition,[status(thm),theory(equality)],[c_792,c_2047]) ).
tff(c_2310,plain,
divide(divide(a,d),b) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_12,c_6,c_2175]) ).
tff(c_2312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16,c_2310]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HEN006-5 : TPTP v9.0.0. Released v1.0.0.
% 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
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 7 22:51:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 4.15/2.06 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.15/2.07
% 4.15/2.07 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------