%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : RNG008-3 : 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 : n019.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 18.36s 7.11s
% Output : CNFRefutation 18.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 46 ( 46 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 45 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 77 ( 77 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > add > #nlpp > additive_inverse > c > b > 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(b,type,
b: $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_95,axiom,
multiply(a,b) = c,
file(unknown,unknown) ).
tff(f_50,axiom,
! [X] : ( add(additive_identity,X) = X ),
file(unknown,unknown) ).
tff(f_63,axiom,
! [X] : ( additive_inverse(additive_inverse(X)) = X ),
file(unknown,unknown) ).
tff(f_94,axiom,
! [X] : ( multiply(X,X) = X ),
file(unknown,unknown) ).
tff(f_76,axiom,
! [X,Y] : ( multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y)) ),
file(unknown,unknown) ).
tff(f_74,axiom,
! [X,Y] : ( multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y)) ),
file(unknown,unknown) ).
tff(f_92,axiom,
! [X] : ( add(X,additive_inverse(X)) = additive_identity ),
file(unknown,unknown) ).
tff(f_79,axiom,
! [X,Y,Z] : ( add(add(X,Y),Z) = add(X,add(Y,Z)) ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X,Y,Z] : ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ),
file(unknown,unknown) ).
tff(f_58,axiom,
! [X,Y,Z] : ( multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_82,axiom,
! [X,Y] : ( add(X,Y) = add(Y,X) ),
file(unknown,unknown) ).
tff(f_90,axiom,
! [X] : ( add(X,additive_identity) = X ),
file(unknown,unknown) ).
tff(f_97,axiom,
multiply(b,a) != c,
file(unknown,unknown) ).
tff(c_36,plain,
multiply(a,b) = c,
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_2,plain,
! [X_1] : ( add(additive_identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_12,plain,
! [X_9] : ( additive_inverse(additive_inverse(X_9)) = X_9 ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_34,plain,
! [X_28] : ( multiply(X_28,X_28) = X_28 ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_22,plain,
! [X_16,Y_17] : ( multiply(additive_inverse(X_16),Y_17) = additive_inverse(multiply(X_16,Y_17)) ),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_284,plain,
! [X_39,Y_40] : ( multiply(X_39,additive_inverse(Y_40)) = additive_inverse(multiply(X_39,Y_40)) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_295,plain,
! [Y_40] : ( additive_inverse(multiply(additive_inverse(Y_40),Y_40)) = additive_inverse(Y_40) ),
inference(superposition,[status(thm),theory(equality)],[c_284,c_34]) ).
tff(c_368,plain,
! [Y_40] : ( additive_inverse(additive_inverse(multiply(Y_40,Y_40))) = additive_inverse(Y_40) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_295]) ).
tff(c_369,plain,
! [Y_40] : ( additive_inverse(Y_40) = Y_40 ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_34,c_368]) ).
tff(c_32,plain,
! [X_27] : ( add(X_27,additive_inverse(X_27)) = additive_identity ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_420,plain,
! [X_27] : ( add(X_27,X_27) = additive_identity ),
inference(demodulation,[status(thm),theory(equality)],[c_369,c_32]) ).
tff(c_466,plain,
! [X_46,Y_47,Z_48] : ( add(add(X_46,Y_47),Z_48) = add(X_46,add(Y_47,Z_48)) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_495,plain,
! [X_27,Z_48] : ( add(X_27,add(X_27,Z_48)) = add(additive_identity,Z_48) ),
inference(superposition,[status(thm),theory(equality)],[c_420,c_466]) ).
tff(c_529,plain,
! [X_27,Z_48] : ( add(X_27,add(X_27,Z_48)) = Z_48 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_495]) ).
tff(c_928,plain,
! [X_60,Y_61,Z_62] : ( add(multiply(X_60,Y_61),multiply(X_60,Z_62)) = multiply(X_60,add(Y_61,Z_62)) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_990,plain,
! [X_28,Z_62] : ( multiply(X_28,add(X_28,Z_62)) = add(X_28,multiply(X_28,Z_62)) ),
inference(superposition,[status(thm),theory(equality)],[c_34,c_928]) ).
tff(c_1100,plain,
! [X_65,Z_66,Y_67] : ( add(multiply(X_65,Z_66),multiply(Y_67,Z_66)) = multiply(add(X_65,Y_67),Z_66) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_1182,plain,
! [X_28,Y_67] : ( multiply(add(X_28,Y_67),X_28) = add(X_28,multiply(Y_67,X_28)) ),
inference(superposition,[status(thm),theory(equality)],[c_34,c_1100]) ).
tff(c_24,plain,
! [X_18,Y_19,Z_20] : ( add(add(X_18,Y_19),Z_20) = add(X_18,add(Y_19,Z_20)) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_26,plain,
! [Y_22,X_21] : ( add(Y_22,X_21) = add(X_21,Y_22) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_993,plain,
! [X_28,Y_61] : ( multiply(X_28,add(Y_61,X_28)) = add(multiply(X_28,Y_61),X_28) ),
inference(superposition,[status(thm),theory(equality)],[c_34,c_928]) ).
tff(c_1010,plain,
! [X_28,Y_61] : ( multiply(X_28,add(Y_61,X_28)) = add(X_28,multiply(X_28,Y_61)) ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_993]) ).
tff(c_30,plain,
! [X_26] : ( add(X_26,additive_identity) = X_26 ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_13237,plain,
! [X_158,Z_159,Y_160,Z_161] : ( add(multiply(X_158,Z_159),add(multiply(Y_160,Z_159),Z_161)) = add(multiply(add(X_158,Y_160),Z_159),Z_161) ),
inference(superposition,[status(thm),theory(equality)],[c_1100,c_24]) ).
tff(c_13746,plain,
! [X_158,Y_160,Z_159] : ( add(multiply(add(X_158,Y_160),Z_159),multiply(Y_160,Z_159)) = add(multiply(X_158,Z_159),additive_identity) ),
inference(superposition,[status(thm),theory(equality)],[c_420,c_13237]) ).
tff(c_21212,plain,
! [X_195,Y_196,Z_197] : ( add(multiply(add(X_195,Y_196),Z_197),multiply(Y_196,Z_197)) = multiply(X_195,Z_197) ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_13746]) ).
tff(c_21732,plain,
! [X_195,Y_196] : ( add(add(X_195,Y_196),multiply(Y_196,add(X_195,Y_196))) = multiply(X_195,add(X_195,Y_196)) ),
inference(superposition,[status(thm),theory(equality)],[c_34,c_21212]) ).
tff(c_21814,plain,
! [X_198,Y_199] : ( add(X_198,multiply(Y_199,X_198)) = add(X_198,multiply(X_198,Y_199)) ),
inference(demodulation,[status(thm),theory(equality)],[c_529,c_24,c_1010,c_990,c_21732]) ).
tff(c_22363,plain,
! [X_28,Y_67] : ( add(X_28,multiply(X_28,add(X_28,Y_67))) = add(X_28,add(X_28,multiply(Y_67,X_28))) ),
inference(superposition,[status(thm),theory(equality)],[c_1182,c_21814]) ).
tff(c_22509,plain,
! [Y_67,X_28] : ( multiply(Y_67,X_28) = multiply(X_28,Y_67) ),
inference(demodulation,[status(thm),theory(equality)],[c_529,c_990,c_529,c_22363]) ).
tff(c_38,plain,
multiply(b,a) != c,
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_22522,plain,
multiply(a,b) != c,
inference(demodulation,[status(thm),theory(equality)],[c_22509,c_38]) ).
tff(c_22526,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_22522]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG008-3 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.13 % 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 : n019.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 18:17:47 EDT 2025
% 0.13/0.34 % CPUTime :
% 18.36/7.11 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.36/7.12
% 18.36/7.12 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------