%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : BOO011-1 : 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/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 : n002.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 05:45:03 PM UTC 2025
% Result : Unsatisfiable 3.64s 1.90s
% Output : CNFRefutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > product > multiply > add > #nlpp > inverse > multiplicative_identity > additive_identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sum,type,
sum: ( $i * $i * $i ) > $o ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(inverse,type,
inverse: $i > $i ).
tff(additive_identity,type,
additive_identity: $i ).
tff(multiplicative_identity,type,
multiplicative_identity: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(f_209,axiom,
inverse(additive_identity) != multiplicative_identity,
file(unknown,unknown) ).
tff(f_184,axiom,
! [X] : sum(X,inverse(X),multiplicative_identity),
file(unknown,unknown) ).
tff(f_62,axiom,
! [X] : sum(additive_identity,X,X),
file(unknown,unknown) ).
tff(f_197,axiom,
! [X,Y,U,V] :
( ~ sum(X,Y,U)
| ~ sum(X,Y,V)
| ( U = V ) ),
file(unknown,unknown) ).
tff(c_46,plain,
inverse(additive_identity) != multiplicative_identity,
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_36,plain,
! [X_72] : sum(X_72,inverse(X_72),multiplicative_identity),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_10,plain,
! [X_11] : sum(additive_identity,X_11,X_11),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_190,plain,
! [V_112,U_113,X_114,Y_115] :
( ( V_112 = U_113 )
| ~ sum(X_114,Y_115,V_112)
| ~ sum(X_114,Y_115,U_113) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_236,plain,
! [X_117,U_118] :
( ( X_117 = U_118 )
| ~ sum(additive_identity,X_117,U_118) ),
inference(resolution,[status(thm)],[c_10,c_190]) ).
tff(c_248,plain,
inverse(additive_identity) = multiplicative_identity,
inference(resolution,[status(thm)],[c_36,c_236]) ).
tff(c_261,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46,c_248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO011-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.12 % 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 : n002.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 : Mon Apr 7 15:22:17 EDT 2025
% 0.12/0.34 % CPUTime :
% 3.64/1.90 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.64/1.90
% 3.64/1.90 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------