%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : RNG007-4 : 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 : n005.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 08:31:14 PM UTC 2025
% Result : Unsatisfiable 3.05s 1.83s
% Output : CNFRefutation 3.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 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; 2 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > add > #nlpp > additive_inverse > additive_identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(additive_identity,type,
additive_identity: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(additive_inverse,type,
additive_inverse: $i > $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(f_62,axiom,
! [X] : ( additive_inverse(additive_inverse(X)) = X ),
file(unknown,unknown) ).
tff(f_88,axiom,
! [X] : ( multiply(X,X) = X ),
file(unknown,unknown) ).
tff(f_73,axiom,
! [X,Y] : ( multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y)) ),
file(unknown,unknown) ).
tff(f_75,axiom,
! [X,Y] : ( multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y)) ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [X] : ( add(additive_inverse(X),X) = additive_identity ),
file(unknown,unknown) ).
tff(f_90,axiom,
add(a,a) != additive_identity,
file(unknown,unknown) ).
tff(c_12,plain,
! [X_9] : ( additive_inverse(additive_inverse(X_9)) = X_9 ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_30,plain,
! [X_26] : ( multiply(X_26,X_26) = X_26 ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_20,plain,
! [X_14,Y_15] : ( multiply(X_14,additive_inverse(Y_15)) = additive_inverse(multiply(X_14,Y_15)) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_307,plain,
! [X_39,Y_40] : ( multiply(additive_inverse(X_39),Y_40) = additive_inverse(multiply(X_39,Y_40)) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_322,plain,
! [X_39] : ( additive_inverse(multiply(X_39,additive_inverse(X_39))) = additive_inverse(X_39) ),
inference(superposition,[status(thm),theory(equality)],[c_307,c_30]) ).
tff(c_347,plain,
! [X_39] : ( additive_inverse(X_39) = X_39 ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_30,c_20,c_322]) ).
tff(c_118,plain,
! [X_32] : ( add(additive_inverse(X_32),X_32) = additive_identity ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_125,plain,
! [X_9] : ( add(X_9,additive_inverse(X_9)) = additive_identity ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_118]) ).
tff(c_356,plain,
! [X_9] : ( add(X_9,X_9) = additive_identity ),
inference(demodulation,[status(thm),theory(equality)],[c_347,c_125]) ).
tff(c_32,plain,
add(a,a) != additive_identity,
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_372,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_356,c_32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG007-4 : TPTP v9.0.0. Released v1.0.0.
% 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
% 0.12/0.34 % Computer : n005.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 : Tue Apr 8 18:17:27 EDT 2025
% 0.12/0.34 % CPUTime :
% 3.05/1.83 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.05/1.84
% 3.05/1.84 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------