%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN352-1 : TPTP v9.0.0. Released v1.2.0.
% 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 : n022.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 10:03:19 PM UTC 2025
% Result : Unsatisfiable 2.53s 1.58s
% Output : CNFRefutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 24 ( 12 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ f > z > #nlpp > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(f,type,
f: ( $i * $i ) > $o ).
tff(b,type,
b: $i ).
tff(z,type,
z: ( $i * $i ) > $i ).
tff(f_68,axiom,
! [X,Y] :
( ~ f(X,Y)
| f(X,z(X,Y))
| f(Y,z(X,Y)) ),
file(unknown,unknown) ).
tff(f_61,axiom,
! [X,Y] :
( ~ f(X,Y)
| ~ f(X,z(X,Y))
| ~ f(Y,z(X,Y)) ),
file(unknown,unknown) ).
tff(f_38,axiom,
! [X,Y] :
( f(X,Y)
| f(z(X,Y),z(X,Y)) ),
file(unknown,unknown) ).
tff(c_14,plain,
! [Y_12,X_11] :
( f(Y_12,z(X_11,Y_12))
| f(X_11,z(X_11,Y_12))
| ~ f(X_11,Y_12) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_28,plain,
! [Y_12] :
( ~ f(Y_12,Y_12)
| f(Y_12,z(Y_12,Y_12)) ),
inference(factorization,[status(thm),theory(equality)],[c_14]) ).
tff(c_32,plain,
! [Y_18,X_19] :
( ~ f(Y_18,z(X_19,Y_18))
| ~ f(X_19,z(X_19,Y_18))
| ~ f(X_19,Y_18) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_40,plain,
! [Y_20] :
( ~ f(Y_20,z(Y_20,Y_20))
| ~ f(Y_20,Y_20) ),
inference(resolution,[status(thm)],[c_28,c_32]) ).
tff(c_48,plain,
! [Y_12] : ~ f(Y_12,Y_12),
inference(resolution,[status(thm)],[c_28,c_40]) ).
tff(c_6,plain,
! [X_3,Y_4] :
( f(z(X_3,Y_4),z(X_3,Y_4))
| f(X_3,Y_4) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_49,plain,
! [X_3,Y_4] : f(X_3,Y_4),
inference(negUnitSimplification,[status(thm)],[c_48,c_6]) ).
tff(c_58,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_49,c_48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN352-1 : TPTP v9.0.0. Released v1.2.0.
% 0.03/0.13 % 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 : n022.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 : Wed Apr 9 07:19:51 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.53/1.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.53/1.58
% 2.53/1.58 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------