%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : HEN005-6 : 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/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 : n003.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 3.17s 1.89s
% Output : CNFRefutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 21 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less_equal > divide > #nlpp > zero > identity > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(less_equal,type,
less_equal: ( $i * $i ) > $o ).
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_53,axiom,
! [X,Y] :
( ( divide(X,Y) != zero )
| less_equal(X,Y) ),
file(unknown,unknown) ).
tff(f_85,axiom,
~ less_equal(a,c),
file(unknown,unknown) ).
tff(f_81,axiom,
! [X] : ( divide(zero,X) = zero ),
file(unknown,unknown) ).
tff(f_83,axiom,
less_equal(b,c),
file(unknown,unknown) ).
tff(f_48,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| ( divide(X,Y) = zero ) ),
file(unknown,unknown) ).
tff(f_82,axiom,
less_equal(a,b),
file(unknown,unknown) ).
tff(f_59,axiom,
! [X,Z,Y] : less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)),
file(unknown,unknown) ).
tff(f_71,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_62,axiom,
! [X] : less_equal(zero,X),
file(unknown,unknown) ).
tff(c_81,plain,
! [X_24,Y_25] :
( less_equal(X_24,Y_25)
| ( divide(X_24,Y_25) != zero ) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_24,plain,
~ less_equal(a,c),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_89,plain,
divide(a,c) != zero,
inference(resolution,[status(thm)],[c_81,c_24]) ).
tff(c_18,plain,
! [X_15] : ( divide(zero,X_15) = zero ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_22,plain,
less_equal(b,c),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_58,plain,
! [X_22,Y_23] :
( ( divide(X_22,Y_23) = zero )
| ~ less_equal(X_22,Y_23) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_80,plain,
divide(b,c) = zero,
inference(resolution,[status(thm)],[c_22,c_58]) ).
tff(c_20,plain,
less_equal(a,b),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_77,plain,
divide(a,b) = zero,
inference(resolution,[status(thm)],[c_20,c_58]) ).
tff(c_168,plain,
! [X_30,Z_31,Y_32] : less_equal(divide(divide(X_30,Z_31),divide(Y_32,Z_31)),divide(divide(X_30,Y_32),Z_31)),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_198,plain,
! [Z_31] : less_equal(divide(divide(a,Z_31),divide(b,Z_31)),divide(zero,Z_31)),
inference(superposition,[status(thm),theory(equality)],[c_77,c_168]) ).
tff(c_884,plain,
! [Z_52] : less_equal(divide(divide(a,Z_52),divide(b,Z_52)),zero),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_198]) ).
tff(c_909,plain,
less_equal(divide(divide(a,c),zero),zero),
inference(superposition,[status(thm),theory(equality)],[c_80,c_884]) ).
tff(c_4,plain,
! [X_3,Y_4] :
( less_equal(X_3,Y_4)
| ( divide(X_3,Y_4) != zero ) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_149,plain,
! [Y_28,X_29] :
( ( Y_28 = X_29 )
| ~ less_equal(Y_28,X_29)
| ~ less_equal(X_29,Y_28) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_162,plain,
! [Y_4,X_3] :
( ( Y_4 = X_3 )
| ~ less_equal(Y_4,X_3)
| ( divide(X_3,Y_4) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_149]) ).
tff(c_933,plain,
( ( divide(divide(a,c),zero) = zero )
| ( divide(zero,divide(divide(a,c),zero)) != zero ) ),
inference(resolution,[status(thm)],[c_909,c_162]) ).
tff(c_944,plain,
divide(divide(a,c),zero) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_933]) ).
tff(c_10,plain,
! [X_10] : less_equal(zero,X_10),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_257,plain,
! [X_34] :
( ( zero = X_34 )
| ~ less_equal(X_34,zero) ),
inference(resolution,[status(thm)],[c_10,c_149]) ).
tff(c_270,plain,
! [X_3] :
( ( zero = X_3 )
| ( divide(X_3,zero) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_257]) ).
tff(c_1177,plain,
divide(a,c) = zero,
inference(superposition,[status(thm),theory(equality)],[c_944,c_270]) ).
tff(c_1209,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_89,c_1177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : HEN005-6 : TPTP v9.0.0. Released v1.0.0.
% 0.02/0.07 % 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
% 0.08/0.26 % Computer : n003.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Mon Apr 7 22:50:48 EDT 2025
% 0.08/0.26 % CPUTime :
% 3.17/1.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.17/1.90
% 3.17/1.90 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------