%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRP028-3 : TPTP v9.0.0. Released v1.1.0.
% 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 : n015.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 06:24:48 PM UTC 2025
% Result : Unsatisfiable 2.82s 1.70s
% Output : CNFRefutation 2.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% Number of variables : 33 ( 33 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > right_solution > multiply > left_solution > #nlpp > not_identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(right_solution,type,
right_solution: ( $i * $i ) > $i ).
tff(left_solution,type,
left_solution: ( $i * $i ) > $i ).
tff(not_identity,type,
not_identity: $i > $i ).
tff(f_58,axiom,
! [X,Y] : product(left_solution(X,Y),X,Y),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y] : product(X,right_solution(X,Y),Y),
file(unknown,unknown) ).
tff(f_56,axiom,
! [W,U,Z,X,Y,V] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(X,V,W)
| product(U,Z,W) ),
file(unknown,unknown) ).
tff(f_64,axiom,
! [X] : ~ product(not_identity(X),X,not_identity(X)),
file(unknown,unknown) ).
tff(c_8,plain,
! [X_15,Y_16] : product(left_solution(X_15,Y_16),X_15,Y_16),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_10,plain,
! [X_17,Y_18] : product(X_17,right_solution(X_17,Y_18),Y_18),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_17,plain,
! [W_27,U_31,Z_32,V_30,X_28,Y_29] :
( product(U_31,Z_32,W_27)
| ~ product(X_28,V_30,W_27)
| ~ product(Y_29,Z_32,V_30)
| ~ product(X_28,Y_29,U_31) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_37,plain,
! [U_39,Y_43,X_42,Y_40,Z_41] :
( product(U_39,Z_41,Y_40)
| ~ product(Y_43,Z_41,X_42)
| ~ product(left_solution(X_42,Y_40),Y_43,U_39) ),
inference(resolution,[status(thm)],[c_8,c_17]) ).
tff(c_79,plain,
! [U_58,X_59,Y_60,Y_61] :
( product(U_58,right_solution(X_59,Y_60),Y_61)
| ~ product(left_solution(Y_60,Y_61),X_59,U_58) ),
inference(resolution,[status(thm)],[c_10,c_37]) ).
tff(c_91,plain,
! [Y_62,X_63] : product(Y_62,right_solution(X_63,X_63),Y_62),
inference(resolution,[status(thm)],[c_8,c_79]) ).
tff(c_12,plain,
! [X_19] : ~ product(not_identity(X_19),X_19,not_identity(X_19)),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_114,plain,
$false,
inference(resolution,[status(thm)],[c_91,c_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP028-3 : TPTP v9.0.0. Released v1.1.0.
% 0.08/0.13 % 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 : n015.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 : Mon Apr 7 21:12:35 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.82/1.70 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.82/1.70
% 2.82/1.70 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------