%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : HEN009-5 : TPTP v9.0.0. Bugfixed v1.2.1.
% 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 : n023.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 06:45:56 PM UTC 2025
% Result : Unsatisfiable 9.68s 3.58s
% Output : CNFRefutation 9.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ divide > #nlpp > zero > identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(divide,type,
divide: ( $i * $i ) > $i ).
tff(identity,type,
identity: $i ).
tff(zero,type,
zero: $i ).
tff(f_53,axiom,
! [X,Y] : ( divide(divide(X,Y),X) = zero ),
file(unknown,unknown) ).
tff(f_87,axiom,
! [X,Y,Z] :
( ( divide(divide(X,Y),Z) != zero )
| ( divide(divide(X,Z),Y) = zero ) ),
file(unknown,unknown) ).
tff(f_59,axiom,
! [X] : ( divide(zero,X) = zero ),
file(unknown,unknown) ).
tff(f_68,axiom,
! [X,Y] :
( ( divide(X,Y) != zero )
| ( divide(Y,X) != zero )
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
! [X,Y,Z] :
( ( divide(X,Y) != zero )
| ( divide(divide(Z,Y),divide(Z,X)) = zero ) ),
file(unknown,unknown) ).
tff(f_94,axiom,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1,Y_2] : ( divide(divide(X_1,Y_2),X_1) = zero ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_124,plain,
! [X_32,Z_33,Y_34] :
( ( divide(divide(X_32,Z_33),Y_34) = zero )
| ( divide(divide(X_32,Y_34),Z_33) != zero ) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_145,plain,
! [X_35,Y_36] : ( divide(divide(X_35,X_35),Y_36) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_124]) ).
tff(c_6,plain,
! [X_6] : ( divide(zero,X_6) = zero ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_72,plain,
! [Y_23,X_24] :
( ( Y_23 = X_24 )
| ( divide(Y_23,X_24) != zero )
| ( divide(X_24,Y_23) != zero ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_80,plain,
! [X_6] :
( ( zero = X_6 )
| ( divide(X_6,zero) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_72]) ).
tff(c_214,plain,
! [X_37] : ( divide(X_37,X_37) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_145,c_80]) ).
tff(c_14,plain,
! [X_13,Z_15,Y_14] :
( ( divide(divide(X_13,Z_15),Y_14) = zero )
| ( divide(divide(X_13,Y_14),Z_15) != zero ) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_257,plain,
! [X_13,Y_14] : ( divide(divide(X_13,divide(X_13,Y_14)),Y_14) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_214,c_14]) ).
tff(c_539,plain,
! [Z_44,Y_45,X_46] :
( ( divide(divide(Z_44,Y_45),divide(Z_44,X_46)) = zero )
| ( divide(X_46,Y_45) != zero ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_8,plain,
! [Y_8,X_7] :
( ( Y_8 = X_7 )
| ( divide(Y_8,X_7) != zero )
| ( divide(X_7,Y_8) != zero ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_23065,plain,
! [Z_195,Y_196,X_197] :
( ( divide(Z_195,Y_196) = divide(Z_195,X_197) )
| ( divide(divide(Z_195,X_197),divide(Z_195,Y_196)) != zero )
| ( divide(X_197,Y_196) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_539,c_8]) ).
tff(c_23422,plain,
! [X_13,Y_196] :
( ( divide(X_13,divide(X_13,divide(X_13,Y_196))) = divide(X_13,Y_196) )
| ( divide(divide(X_13,divide(X_13,Y_196)),Y_196) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_257,c_23065]) ).
tff(c_23582,plain,
! [X_13,Y_196] : ( divide(X_13,divide(X_13,divide(X_13,Y_196))) = divide(X_13,Y_196) ),
inference(demodulation,[status(thm),theory(equality)],[c_257,c_23422]) ).
tff(c_18,plain,
divide(identity,divide(identity,divide(identity,a))) != divide(identity,a),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_23602,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_23582,c_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : HEN009-5 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.06/0.13 % 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
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 7 22:51:54 EDT 2025
% 0.12/0.34 % CPUTime :
% 9.68/3.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.68/3.59
% 9.68/3.59 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------