%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : HEN008-5 : 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 : n011.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 06:45:55 PM UTC 2025
% Result : Unsatisfiable 2.83s 1.68s
% Output : CNFRefutation 2.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ divide > #nlpp > zero > identity > c > 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(identity,type,
identity: $i ).
tff(zero,type,
zero: $i ).
tff(c,type,
c: $i ).
tff(f_57,axiom,
! [X] : ( divide(zero,X) = zero ),
file(unknown,unknown) ).
tff(f_73,axiom,
divide(a,b) = 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(f_66,axiom,
! [X,Y] :
( ( divide(X,Y) != zero )
| ( divide(Y,X) != zero )
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_75,axiom,
divide(divide(a,c),divide(b,c)) != zero,
file(unknown,unknown) ).
tff(c_6,plain,
! [X_6] : ( divide(zero,X_6) = zero ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_12,plain,
divide(a,b) = zero,
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_97,plain,
! [X_17,Z_18,Y_19] : ( divide(divide(divide(X_17,Z_18),divide(Y_19,Z_18)),divide(divide(X_17,Y_19),Z_18)) = zero ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_177,plain,
! [Z_18] : ( divide(divide(divide(a,Z_18),divide(b,Z_18)),divide(zero,Z_18)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_97]) ).
tff(c_196,plain,
! [Z_18] : ( divide(divide(divide(a,Z_18),divide(b,Z_18)),zero) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_177]) ).
tff(c_238,plain,
! [Z_23] : ( divide(divide(divide(a,Z_23),divide(b,Z_23)),zero) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_177]) ).
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_76,plain,
! [Y_14,X_15] :
( ( Y_14 = X_15 )
| ( divide(Y_14,X_15) != zero )
| ( divide(X_15,Y_14) != zero ) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_85,plain,
! [X_1,Y_2] :
( ( divide(X_1,Y_2) = X_1 )
| ( divide(X_1,divide(X_1,Y_2)) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_76]) ).
tff(c_243,plain,
! [Z_23] :
( ( divide(divide(divide(a,Z_23),divide(b,Z_23)),zero) = divide(divide(a,Z_23),divide(b,Z_23)) )
| ( divide(divide(divide(a,Z_23),divide(b,Z_23)),zero) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_238,c_85]) ).
tff(c_279,plain,
! [Z_23] : ( divide(divide(a,Z_23),divide(b,Z_23)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_196,c_196,c_243]) ).
tff(c_14,plain,
divide(divide(a,c),divide(b,c)) != zero,
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_295,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_279,c_14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : HEN008-5 : TPTP v9.0.0. Released v1.0.0.
% 0.04/0.13 % 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 : n011.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 22:51:33 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.83/1.68 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.83/1.68
% 2.83/1.68 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------