%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ROB008-1 : 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 : n018.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 08:33:50 PM UTC 2025
% Result : Unsatisfiable 11.68s 4.80s
% Output : CNFRefutation 11.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ add > #nlpp > negate > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(b,type,
b: $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(negate,type,
negate: $i > $i ).
tff(c,type,
c: $i ).
tff(f_54,axiom,
add(a,b) != a,
file(unknown,unknown) ).
tff(f_49,axiom,
! [X,Y] : ( negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))) = X ),
file(unknown,unknown) ).
tff(f_52,axiom,
negate(add(a,negate(add(b,c)))) = negate(add(a,add(b,negate(c)))),
file(unknown,unknown) ).
tff(f_47,axiom,
! [X,Y,Z] : ( add(add(X,Y),Z) = add(X,add(Y,Z)) ),
file(unknown,unknown) ).
tff(c_10,plain,
add(a,b) != a,
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_6,plain,
! [X_6,Y_7] : ( negate(add(negate(add(X_6,Y_7)),negate(add(X_6,negate(Y_7))))) = X_6 ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_8,plain,
negate(add(a,add(b,negate(c)))) = negate(add(a,negate(add(b,c)))),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_4,plain,
! [X_3,Y_4,Z_5] : ( add(add(X_3,Y_4),Z_5) = add(X_3,add(Y_4,Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_214,plain,
! [X_16,Y_17] : ( negate(add(negate(add(X_16,Y_17)),negate(add(X_16,negate(Y_17))))) = X_16 ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_251,plain,
! [X_3,Y_4,Y_17] : ( negate(add(negate(add(add(X_3,Y_4),Y_17)),negate(add(X_3,add(Y_4,negate(Y_17)))))) = add(X_3,Y_4) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_214]) ).
tff(c_8662,plain,
! [X_71,Y_72,Y_73] : ( negate(add(negate(add(X_71,add(Y_72,Y_73))),negate(add(X_71,add(Y_72,negate(Y_73)))))) = add(X_71,Y_72) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_251]) ).
tff(c_8928,plain,
negate(add(negate(add(a,add(b,c))),negate(add(a,negate(add(b,c)))))) = add(a,b),
inference(superposition,[status(thm),theory(equality)],[c_8,c_8662]) ).
tff(c_9054,plain,
add(a,b) = a,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_8928]) ).
tff(c_9056,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_9054]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ROB008-1 : TPTP v9.0.0. Released v1.0.0.
% 0.12/0.13 % 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 : n018.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 : Tue Apr 8 18:58:32 EDT 2025
% 0.13/0.34 % CPUTime :
% 11.68/4.80 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.68/4.81
% 11.68/4.81 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------