%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN334-1 : 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 : n019.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 10:03:14 PM UTC 2025
% Result : Unsatisfiable 2.89s 1.78s
% Output : CNFRefutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 63 ( 31 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 47 ( 47 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ g > f > z > #nlpp
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f,type,
f: ( $i * $i ) > $o ).
tff(g,type,
g: ( $i * $i ) > $o ).
tff(z,type,
z: ( $i * $i ) > $i ).
tff(f_63,axiom,
! [X,Y] :
( g(X,Y)
| g(z(X,Y),z(X,Y)) ),
file(unknown,unknown) ).
tff(f_59,axiom,
! [X,Y] :
( ~ g(z(X,Y),z(X,Y))
| f(X,Y) ),
file(unknown,unknown) ).
tff(f_34,axiom,
! [X,Y] :
( ~ f(X,Y)
| f(X,z(X,Y))
| ~ g(Y,z(X,Y)) ),
file(unknown,unknown) ).
tff(f_42,axiom,
! [X,Y] :
( ~ f(X,Y)
| ~ f(X,z(X,Y))
| g(Y,z(X,Y)) ),
file(unknown,unknown) ).
tff(f_69,axiom,
! [X,Y] :
( ~ g(X,Y)
| ~ g(z(X,Y),z(X,Y)) ),
file(unknown,unknown) ).
tff(f_50,axiom,
! [X,Y] :
( ~ f(z(X,Y),z(X,Y))
| g(z(X,Y),z(X,Y))
| ~ f(X,Y) ),
file(unknown,unknown) ).
tff(f_54,axiom,
! [X,Y] :
( f(z(X,Y),z(X,Y))
| f(X,Y) ),
file(unknown,unknown) ).
tff(c_12,plain,
! [X_11,Y_12] :
( g(z(X_11,Y_12),z(X_11,Y_12))
| g(X_11,Y_12) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_22,plain,
! [X_21,Y_22] :
( f(X_21,Y_22)
| ~ g(z(X_21,Y_22),z(X_21,Y_22)) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_26,plain,
! [X_11,Y_12] :
( f(X_11,Y_12)
| g(X_11,Y_12) ),
inference(resolution,[status(thm)],[c_12,c_22]) ).
tff(c_36,plain,
! [Y_25,X_26] :
( ~ g(Y_25,z(X_26,Y_25))
| f(X_26,z(X_26,Y_25))
| ~ f(X_26,Y_25) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_40,plain,
! [X_26,X_11] :
( f(X_26,z(X_26,X_11))
| ~ f(X_26,X_11)
| f(X_11,z(X_26,X_11)) ),
inference(resolution,[status(thm)],[c_26,c_36]) ).
tff(c_55,plain,
! [X_26] :
( ~ f(X_26,X_26)
| f(X_26,z(X_26,X_26)) ),
inference(factorization,[status(thm),theory(equality)],[c_40]) ).
tff(c_71,plain,
! [X_35] :
( ~ f(X_35,X_35)
| f(X_35,z(X_35,X_35)) ),
inference(factorization,[status(thm),theory(equality)],[c_40]) ).
tff(c_4,plain,
! [Y_4,X_3] :
( g(Y_4,z(X_3,Y_4))
| ~ f(X_3,z(X_3,Y_4))
| ~ f(X_3,Y_4) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_74,plain,
! [X_35] :
( g(X_35,z(X_35,X_35))
| ~ f(X_35,X_35) ),
inference(resolution,[status(thm)],[c_71,c_4]) ).
tff(c_27,plain,
! [X_23,Y_24] :
( f(X_23,Y_24)
| g(X_23,Y_24) ),
inference(resolution,[status(thm)],[c_12,c_22]) ).
tff(c_14,plain,
! [X_13,Y_14] :
( ~ g(z(X_13,Y_14),z(X_13,Y_14))
| ~ g(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_35,plain,
! [X_13,Y_14] :
( ~ g(X_13,Y_14)
| f(z(X_13,Y_14),z(X_13,Y_14)) ),
inference(resolution,[status(thm)],[c_27,c_14]) ).
tff(c_62,plain,
! [X_33,Y_34] :
( ~ f(X_33,Y_34)
| g(z(X_33,Y_34),z(X_33,Y_34))
| ~ f(z(X_33,Y_34),z(X_33,Y_34)) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_79,plain,
! [X_37,Y_38] :
( ~ g(X_37,Y_38)
| ~ f(X_37,Y_38)
| ~ f(z(X_37,Y_38),z(X_37,Y_38)) ),
inference(resolution,[status(thm)],[c_62,c_14]) ).
tff(c_88,plain,
! [X_39,Y_40] :
( ~ f(X_39,Y_40)
| ~ g(X_39,Y_40) ),
inference(resolution,[status(thm)],[c_35,c_79]) ).
tff(c_114,plain,
! [X_43] :
( ~ f(X_43,z(X_43,X_43))
| ~ f(X_43,X_43) ),
inference(resolution,[status(thm)],[c_74,c_88]) ).
tff(c_122,plain,
! [X_26] : ~ f(X_26,X_26),
inference(resolution,[status(thm)],[c_55,c_114]) ).
tff(c_8,plain,
! [X_7,Y_8] :
( f(X_7,Y_8)
| f(z(X_7,Y_8),z(X_7,Y_8)) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_124,plain,
! [X_7,Y_8] : f(X_7,Y_8),
inference(negUnitSimplification,[status(thm)],[c_122,c_8]) ).
tff(c_138,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_124,c_122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN334-1 : TPTP v9.0.0. Released v1.2.0.
% 0.11/0.13 % 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
% 0.12/0.34 % Computer : n019.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 07:18:17 EDT 2025
% 0.12/0.34 % CPUTime :
% 2.89/1.78 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.89/1.79
% 2.89/1.79 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------