%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN332-1 : 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 : n027.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 3.29s 1.79s
% Output : CNFRefutation 3.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 52 ( 23 ~; 29 |; 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 : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 46 ( 46 !; 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_34,axiom,
! [Y,X] :
( f(Y,X)
| f(X,z(X,Y)) ),
file(unknown,unknown) ).
tff(f_63,axiom,
! [X,Y] :
( ~ f(X,z(X,Y))
| f(Y,z(X,Y)) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [X,Y] :
( f(X,Y)
| f(X,z(X,Y)) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X,Y] :
( ~ f(X,z(X,Y))
| f(z(X,Y),X) ),
file(unknown,unknown) ).
tff(f_101,axiom,
! [X,Y] :
( f(X,Y)
| f(Y,X)
| ~ f(z(X,Y),Y) ),
file(unknown,unknown) ).
tff(f_71,axiom,
! [Y,X] :
( ~ f(Y,X)
| f(X,Y)
| ~ f(z(X,Y),z(X,Y)) ),
file(unknown,unknown) ).
tff(f_110,axiom,
! [X,Y] :
( ~ f(X,Y)
| ~ f(Y,X)
| ~ f(z(X,Y),Y) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_4,Y_3] :
( f(X_4,z(X_4,Y_3))
| f(Y_3,X_4) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_31,plain,
! [Y_33,X_34] :
( f(Y_33,z(X_34,Y_33))
| ~ f(X_34,z(X_34,Y_33)) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_37,plain,
! [Y_3,X_4] :
( f(Y_3,z(X_4,Y_3))
| f(Y_3,X_4) ),
inference(resolution,[status(thm)],[c_4,c_31]) ).
tff(c_2,plain,
! [X_1,Y_2] :
( f(X_1,z(X_1,Y_2))
| f(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_10,plain,
! [X_9,Y_10] :
( f(z(X_9,Y_10),X_9)
| ~ f(X_9,z(X_9,Y_10)) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_117,plain,
! [X_54,Y_55] :
( ~ f(z(X_54,Y_55),Y_55)
| f(Y_55,X_54)
| f(X_54,Y_55) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_123,plain,
! [X_56] :
( f(X_56,X_56)
| ~ f(X_56,z(X_56,X_56)) ),
inference(resolution,[status(thm)],[c_10,c_117]) ).
tff(c_142,plain,
! [Y_2] : f(Y_2,Y_2),
inference(resolution,[status(thm)],[c_2,c_123]) ).
tff(c_16,plain,
! [X_16,Y_15] :
( ~ f(z(X_16,Y_15),z(X_16,Y_15))
| f(X_16,Y_15)
| ~ f(Y_15,X_16) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_210,plain,
! [X_63,Y_64] :
( f(X_63,Y_64)
| ~ f(Y_64,X_63) ),
inference(demodulation,[status(thm),theory(equality)],[c_142,c_16]) ).
tff(c_227,plain,
! [X_65,Y_66] :
( f(z(X_65,Y_66),Y_66)
| f(Y_66,X_65) ),
inference(resolution,[status(thm)],[c_37,c_210]) ).
tff(c_26,plain,
! [X_25,Y_26] :
( ~ f(z(X_25,Y_26),Y_26)
| f(Y_26,X_25)
| f(X_25,Y_26) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_255,plain,
! [X_67,Y_68] :
( f(X_67,Y_68)
| f(Y_68,X_67) ),
inference(resolution,[status(thm)],[c_227,c_26]) ).
tff(c_209,plain,
! [X_16,Y_15] :
( f(X_16,Y_15)
| ~ f(Y_15,X_16) ),
inference(demodulation,[status(thm),theory(equality)],[c_142,c_16]) ).
tff(c_280,plain,
! [Y_68,X_67] : f(Y_68,X_67),
inference(resolution,[status(thm)],[c_255,c_209]) ).
tff(c_71,plain,
! [X_49,Y_50] :
( ~ f(z(X_49,Y_50),Y_50)
| ~ f(Y_50,X_49)
| ~ f(X_49,Y_50) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_76,plain,
! [X_9] :
( ~ f(X_9,X_9)
| ~ f(X_9,z(X_9,X_9)) ),
inference(resolution,[status(thm)],[c_10,c_71]) ).
tff(c_160,plain,
! [X_9] : ~ f(X_9,z(X_9,X_9)),
inference(demodulation,[status(thm),theory(equality)],[c_142,c_76]) ).
tff(c_312,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_280,c_160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN332-1 : TPTP v9.0.0. Released v1.2.0.
% 0.11/0.12 % 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
% 0.13/0.32 % Computer : n027.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Wed Apr 9 07:18:05 EDT 2025
% 0.13/0.32 % CPUTime :
% 3.29/1.79 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.29/1.80
% 3.29/1.80 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------