%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRP017-1 : TPTP v9.0.0. Released v1.0.0.
% 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 06:24:45 PM UTC 2025
% Result : Unsatisfiable 2.87s 1.76s
% Output : CNFRefutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > multiply > #nlpp > inverse > identity > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff(identity,type,
identity: $i ).
tff(c,type,
c: $i ).
tff(f_98,axiom,
b != c,
file(unknown,unknown) ).
tff(f_94,axiom,
product(b,a,identity),
file(unknown,unknown) ).
tff(f_95,axiom,
product(a,c,identity),
file(unknown,unknown) ).
tff(f_52,axiom,
! [X] : product(X,identity,X),
file(unknown,unknown) ).
tff(f_90,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_50,axiom,
! [X] : product(identity,X,X),
file(unknown,unknown) ).
tff(f_68,axiom,
! [X,Y,Z,W] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W)
| ( Z = W ) ),
file(unknown,unknown) ).
tff(c_26,plain,
c != b,
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_20,plain,
product(b,a,identity),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_22,plain,
product(a,c,identity),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_4,plain,
! [X_2] : product(X_2,identity,X_2),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_118,plain,
! [U_39,Z_42,X_38,W_41,Y_37,V_40] :
( product(U_39,Z_42,W_41)
| ~ product(X_38,V_40,W_41)
| ~ product(Y_37,Z_42,V_40)
| ~ product(X_38,Y_37,U_39) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_647,plain,
! [U_83,Z_84,X_85,Y_86] :
( product(U_83,Z_84,X_85)
| ~ product(Y_86,Z_84,identity)
| ~ product(X_85,Y_86,U_83) ),
inference(resolution,[status(thm)],[c_4,c_118]) ).
tff(c_717,plain,
! [U_90,X_91] :
( product(U_90,c,X_91)
| ~ product(X_91,a,U_90) ),
inference(resolution,[status(thm)],[c_22,c_647]) ).
tff(c_733,plain,
product(identity,c,b),
inference(resolution,[status(thm)],[c_20,c_717]) ).
tff(c_2,plain,
! [X_1] : product(identity,X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_32,plain,
! [Z_29,W_30,X_31,Y_32] :
( ( Z_29 = W_30 )
| ~ product(X_31,Y_32,W_30)
| ~ product(X_31,Y_32,Z_29) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_59,plain,
! [Z_29,X_1] :
( ( Z_29 = X_1 )
| ~ product(identity,X_1,Z_29) ),
inference(resolution,[status(thm)],[c_2,c_32]) ).
tff(c_749,plain,
c = b,
inference(resolution,[status(thm)],[c_733,c_59]) ).
tff(c_764,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26,c_749]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.08 % Problem : GRP017-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.09 % 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
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Mon Apr 7 21:10:16 EDT 2025
% 0.09/0.27 % CPUTime :
% 2.87/1.76 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.87/1.76
% 2.87/1.76 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------