%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN331-1 : 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 : n032.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 10:03:13 PM UTC 2025
% Result : Unsatisfiable 2.21s 1.45s
% Output : CNFRefutation 2.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 4 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 17 ( 17 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ f > z > #nlpp
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f,type,
f: ( $i * $i ) > $o ).
tff(z,type,
z: ( $i * $i ) > $i ).
tff(f_44,axiom,
! [Y,X] :
( f(Y,X)
| f(z(X,Y),z(X,Y)) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [X,Y] :
( f(X,Y)
| ~ f(z(X,Y),z(X,Y)) ),
file(unknown,unknown) ).
tff(f_47,axiom,
! [X,Y] : ~ f(z(X,Y),X),
file(unknown,unknown) ).
tff(c_25,plain,
! [X_27,Y_28] :
( f(z(X_27,Y_28),z(X_27,Y_28))
| f(Y_28,X_27) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_6,plain,
! [X_5,Y_6] :
( ~ f(z(X_5,Y_6),z(X_5,Y_6))
| f(X_5,Y_6) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_29,plain,
! [X_27,Y_28] :
( f(X_27,Y_28)
| f(Y_28,X_27) ),
inference(resolution,[status(thm)],[c_25,c_6]) ).
tff(c_42,plain,
! [X_27] : f(X_27,X_27),
inference(factorization,[status(thm),theory(equality)],[c_29]) ).
tff(c_73,plain,
! [X_5,Y_6] : f(X_5,Y_6),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_6]) ).
tff(c_12,plain,
! [X_11,Y_12] : ~ f(z(X_11,Y_12),X_11),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_84,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_73,c_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYN331-1 : TPTP v9.0.0. Released v1.2.0.
% 0.02/0.10 % 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
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Wed Apr 9 07:18:15 EDT 2025
% 0.09/0.30 % CPUTime :
% 2.21/1.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.21/1.46
% 2.21/1.46 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------