%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRP001-1 : 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 : n022.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 06:24:41 PM UTC 2025
% Result : Unsatisfiable 5.08s 2.41s
% Output : CNFRefutation 5.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 28 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 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_108,axiom,
~ product(b,a,c),
file(unknown,unknown) ).
tff(f_70,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file(unknown,unknown) ).
tff(f_106,axiom,
product(a,b,c),
file(unknown,unknown) ).
tff(f_105,axiom,
! [X] : product(X,X,identity),
file(unknown,unknown) ).
tff(f_101,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_61,axiom,
! [X] : product(identity,X,X),
file(unknown,unknown) ).
tff(f_90,axiom,
! [W,U,Z,X,Y,V] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(U,Z,W)
| product(X,V,W) ),
file(unknown,unknown) ).
tff(f_63,axiom,
! [X] : product(X,identity,X),
file(unknown,unknown) ).
tff(f_79,axiom,
! [X,Y,Z,W] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W)
| ( Z = W ) ),
file(unknown,unknown) ).
tff(c_22,plain,
~ product(b,a,c),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_10,plain,
! [X_5,Y_6] : product(X_5,Y_6,multiply(X_5,Y_6)),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_20,plain,
product(a,b,c),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_18,plain,
! [X_23] : product(X_23,X_23,identity),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_51,plain,
! [W_39,Z_40,X_36,V_38,U_37,Y_35] :
( product(U_37,Z_40,W_39)
| ~ product(X_36,V_38,W_39)
| ~ product(Y_35,Z_40,V_38)
| ~ product(X_36,Y_35,U_37) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_399,plain,
! [U_66,Z_67,Y_68,X_69] :
( product(U_66,Z_67,identity)
| ~ product(Y_68,Z_67,X_69)
| ~ product(X_69,Y_68,U_66) ),
inference(resolution,[status(thm)],[c_18,c_51]) ).
tff(c_466,plain,
! [U_74] :
( product(U_74,b,identity)
| ~ product(c,a,U_74) ),
inference(resolution,[status(thm)],[c_20,c_399]) ).
tff(c_470,plain,
product(multiply(c,a),b,identity),
inference(resolution,[status(thm)],[c_10,c_466]) ).
tff(c_2,plain,
! [X_1] : product(identity,X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_170,plain,
! [Z_51,V_52,W_47,X_50,Y_48,U_49] :
( product(X_50,V_52,W_47)
| ~ product(U_49,Z_51,W_47)
| ~ product(Y_48,Z_51,V_52)
| ~ product(X_50,Y_48,U_49) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_616,plain,
! [X_81,V_82,X_83,Y_84] :
( product(X_81,V_82,X_83)
| ~ product(Y_84,X_83,V_82)
| ~ product(X_81,Y_84,identity) ),
inference(resolution,[status(thm)],[c_2,c_170]) ).
tff(c_644,plain,
! [X_85,X_86] :
( product(X_85,identity,X_86)
| ~ product(X_85,X_86,identity) ),
inference(resolution,[status(thm)],[c_18,c_616]) ).
tff(c_662,plain,
product(multiply(c,a),identity,b),
inference(resolution,[status(thm)],[c_470,c_644]) ).
tff(c_4,plain,
! [X_2] : product(X_2,identity,X_2),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_29,plain,
! [Z_31,W_32,X_33,Y_34] :
( ( Z_31 = W_32 )
| ~ product(X_33,Y_34,W_32)
| ~ product(X_33,Y_34,Z_31) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_48,plain,
! [Z_31,X_2] :
( ( Z_31 = X_2 )
| ~ product(X_2,identity,Z_31) ),
inference(resolution,[status(thm)],[c_4,c_29]) ).
tff(c_780,plain,
multiply(c,a) = b,
inference(resolution,[status(thm)],[c_662,c_48]) ).
tff(c_794,plain,
product(c,a,b),
inference(superposition,[status(thm),theory(equality)],[c_780,c_10]) ).
tff(c_1530,plain,
! [U_134,Z_135,X_136,Y_137] :
( product(U_134,Z_135,X_136)
| ~ product(Y_137,Z_135,identity)
| ~ product(X_136,Y_137,U_134) ),
inference(resolution,[status(thm)],[c_4,c_51]) ).
tff(c_1553,plain,
! [U_139,X_140,X_141] :
( product(U_139,X_140,X_141)
| ~ product(X_141,X_140,U_139) ),
inference(resolution,[status(thm)],[c_18,c_1530]) ).
tff(c_1569,plain,
product(b,a,c),
inference(resolution,[status(thm)],[c_794,c_1553]) ).
tff(c_1590,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_1569]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP001-1 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.14 % 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
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 7 21:08:50 EDT 2025
% 0.13/0.35 % CPUTime :
% 5.08/2.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.08/2.42
% 5.08/2.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------