%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRP028-4 : TPTP v9.0.0. Released v2.6.0.
% 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 : n006.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 3.94s 2.23s
% Output : CNFRefutation 3.94s
% 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 : 3 ( 3 usr; 0 con; 1-2 aty)
% Number of variables : 33 ( 33 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > right_solution > left_solution > #nlpp > not_identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(product,type,
product: ( $i * $i * $i ) > $o ).
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_47,axiom,
! [X,Y] : product(left_solution(X,Y),X,Y),
file(unknown,unknown) ).
tff(f_49,axiom,
! [X,Y] : product(X,right_solution(X,Y),Y),
file(unknown,unknown) ).
tff(f_34,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_53,axiom,
! [X] : ~ product(not_identity(X),X,not_identity(X)),
file(unknown,unknown) ).
tff(c_6,plain,
! [X_13,Y_14] : product(left_solution(X_13,Y_14),X_13,Y_14),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_8,plain,
! [X_15,Y_16] : product(X_15,right_solution(X_15,Y_16),Y_16),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_28,plain,
! [W_39,V_36,Z_34,U_37,X_38,Y_35] :
( product(U_37,Z_34,W_39)
| ~ product(X_38,V_36,W_39)
| ~ product(Y_35,Z_34,V_36)
| ~ product(X_38,Y_35,U_37) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_428,plain,
! [Z_107,U_106,X_103,Y_105,Y_104] :
( product(U_106,Z_107,Y_104)
| ~ product(Y_105,Z_107,X_103)
| ~ product(left_solution(X_103,Y_104),Y_105,U_106) ),
inference(resolution,[status(thm)],[c_6,c_28]) ).
tff(c_548,plain,
! [U_118,X_119,Y_120,Y_121] :
( product(U_118,right_solution(X_119,Y_120),Y_121)
| ~ product(left_solution(Y_120,Y_121),X_119,U_118) ),
inference(resolution,[status(thm)],[c_8,c_428]) ).
tff(c_595,plain,
! [Y_122,X_123] : product(Y_122,right_solution(X_123,X_123),Y_122),
inference(resolution,[status(thm)],[c_6,c_548]) ).
tff(c_10,plain,
! [X_17] : ~ product(not_identity(X_17),X_17,not_identity(X_17)),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_632,plain,
$false,
inference(resolution,[status(thm)],[c_595,c_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP028-4 : TPTP v9.0.0. Released v2.6.0.
% 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
% 0.13/0.34 % Computer : n006.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 21:12:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.94/2.23 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.94/2.24
% 3.94/2.24 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------