%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN350-1 : 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/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 : n002.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 10:03:18 PM UTC 2025
% Result : Unsatisfiable 2.60s 1.65s
% Output : CNFRefutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 32 ( 15 ~; 17 |; 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 : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ f > z > #nlpp > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(f,type,
f: ( $i * $i ) > $o ).
tff(z,type,
z: ( $i * $i ) > $i ).
tff(f_57,axiom,
! [X,Y] :
( f(a,z(X,Y))
| f(Y,z(X,Y))
| ~ f(X,Y) ),
file(unknown,unknown) ).
tff(f_66,axiom,
! [X,Y] :
( ~ f(a,z(X,Y))
| ~ f(Y,z(X,Y))
| ~ f(X,Y) ),
file(unknown,unknown) ).
tff(f_31,axiom,
! [X,Y] :
( ~ f(a,z(X,Y))
| f(z(X,Y),a) ),
file(unknown,unknown) ).
tff(f_42,axiom,
! [X,Y] :
( f(a,z(X,Y))
| f(Y,z(X,Y))
| f(X,z(X,Y)) ),
file(unknown,unknown) ).
tff(c_10,plain,
! [X_9,Y_10] :
( ~ f(X_9,Y_10)
| f(Y_10,z(X_9,Y_10))
| f(a,z(X_9,Y_10)) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_31,plain,
! [X_9] :
( ~ f(X_9,a)
| f(a,z(X_9,a)) ),
inference(factorization,[status(thm),theory(equality)],[c_10]) ).
tff(c_35,plain,
! [X_20,Y_21] :
( ~ f(X_20,Y_21)
| ~ f(Y_21,z(X_20,Y_21))
| ~ f(a,z(X_20,Y_21)) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_43,plain,
! [X_22] :
( ~ f(a,z(X_22,a))
| ~ f(X_22,a) ),
inference(resolution,[status(thm)],[c_31,c_35]) ).
tff(c_51,plain,
! [X_9] : ~ f(X_9,a),
inference(resolution,[status(thm)],[c_31,c_43]) ).
tff(c_2,plain,
! [X_1,Y_2] :
( f(z(X_1,Y_2),a)
| ~ f(a,z(X_1,Y_2)) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_52,plain,
! [X_1,Y_2] : ~ f(a,z(X_1,Y_2)),
inference(negUnitSimplification,[status(thm)],[c_51,c_2]) ).
tff(c_6,plain,
! [X_5,Y_6] :
( f(X_5,z(X_5,Y_6))
| f(Y_6,z(X_5,Y_6))
| f(a,z(X_5,Y_6)) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_56,plain,
! [X_5,Y_6] :
( f(X_5,z(X_5,Y_6))
| f(Y_6,z(X_5,Y_6)) ),
inference(negUnitSimplification,[status(thm)],[c_52,c_6]) ).
tff(c_82,plain,
! [X_28] : f(X_28,z(X_28,X_28)),
inference(factorization,[status(thm),theory(equality)],[c_56]) ).
tff(c_87,plain,
$false,
inference(resolution,[status(thm)],[c_82,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN350-1 : TPTP v9.0.0. Released v1.2.0.
% 0.07/0.13 % 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 : n002.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 : Wed Apr 9 07:20:32 EDT 2025
% 0.12/0.34 % CPUTime :
% 2.60/1.65 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.60/1.65
% 2.60/1.65 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------