TSTP Solution File: FLD032-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : FLD032-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : n012.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 : Tue Aug 22 10:37:32 EDT 2023
% Result : Unsatisfiable 102.59s 88.18s
% Output : CNFRefutation 102.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 23
% Syntax : Number of formulae : 64 ( 15 unt; 10 typ; 0 def)
% Number of atoms : 125 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 138 ( 67 ~; 71 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 7 >; 4 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 70 (; 70 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less_or_equal > equalish > defined > multiply > add > #nlpp > multiplicative_inverse > additive_inverse > multiplicative_identity > additive_identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(less_or_equal,type,
less_or_equal: ( $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(additive_identity,type,
additive_identity: $i ).
tff(multiplicative_identity,type,
multiplicative_identity: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(additive_inverse,type,
additive_inverse: $i > $i ).
tff(defined,type,
defined: $i > $o ).
tff(multiplicative_inverse,type,
multiplicative_inverse: $i > $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(equalish,type,
equalish: ( $i * $i ) > $o ).
tff(f_238,axiom,
~ equalish(a,additive_identity),
file(unknown,unknown) ).
tff(f_241,axiom,
~ equalish(a,multiplicative_identity),
file(unknown,unknown) ).
tff(f_236,axiom,
defined(a),
file(unknown,unknown) ).
tff(f_147,axiom,
! [X] :
( defined(multiplicative_inverse(X))
| ~ defined(X)
| equalish(X,additive_identity) ),
file(unknown,unknown) ).
tff(f_173,axiom,
! [X,Y] :
( less_or_equal(X,Y)
| less_or_equal(Y,X)
| ~ defined(X)
| ~ defined(Y) ),
file(unknown,unknown) ).
tff(f_239,axiom,
equalish(multiplicative_inverse(a),multiplicative_identity),
file(unknown,unknown) ).
tff(f_231,axiom,
! [Y,Z,X] :
( less_or_equal(Y,Z)
| ~ less_or_equal(X,Z)
| ~ equalish(X,Y) ),
file(unknown,unknown) ).
tff(f_199,axiom,
! [X,Y] :
( equalish(X,Y)
| ~ equalish(Y,X) ),
file(unknown,unknown) ).
tff(f_207,axiom,
! [X,Z,Y] :
( equalish(X,Z)
| ~ equalish(X,Y)
| ~ equalish(Y,Z) ),
file(unknown,unknown) ).
tff(f_91,axiom,
! [X] :
( equalish(multiply(multiplicative_identity,X),X)
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_223,axiom,
! [X,Z,Y] :
( equalish(multiply(X,Z),multiply(Y,Z))
| ~ defined(Z)
| ~ equalish(X,Y) ),
file(unknown,unknown) ).
tff(f_106,axiom,
! [X,Y] :
( equalish(multiply(X,Y),multiply(Y,X))
| ~ defined(X)
| ~ defined(Y) ),
file(unknown,unknown) ).
tff(f_98,axiom,
! [X] :
( equalish(multiply(X,multiplicative_inverse(X)),multiplicative_identity)
| ~ defined(X)
| equalish(X,additive_identity) ),
file(unknown,unknown) ).
tff(c_58,plain,
~ equalish(a,additive_identity),
inference(cnfTransformation,[status(thm)],[f_238]) ).
tff(c_62,plain,
~ equalish(a,multiplicative_identity),
inference(cnfTransformation,[status(thm)],[f_241]) ).
tff(c_56,plain,
defined(a),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_30,plain,
! [X_23] :
( equalish(X_23,additive_identity)
| ~ defined(X_23)
| defined(multiplicative_inverse(X_23)) ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_36,plain,
! [Y_30,X_29] :
( ~ defined(Y_30)
| ~ defined(X_29)
| less_or_equal(Y_30,X_29)
| less_or_equal(X_29,Y_30) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_255,plain,
! [Y_83] :
( ~ defined(Y_83)
| less_or_equal(Y_83,Y_83) ),
inference(factorization,[status(thm),theory(equality)],[c_36]) ).
tff(c_60,plain,
equalish(multiplicative_inverse(a),multiplicative_identity),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_105,plain,
! [X_71,Y_72,Z_73] :
( ~ equalish(X_71,Y_72)
| ~ less_or_equal(X_71,Z_73)
| less_or_equal(Y_72,Z_73) ),
inference(cnfTransformation,[status(thm)],[f_231]) ).
tff(c_132,plain,
! [Z_73] :
( ~ less_or_equal(multiplicative_inverse(a),Z_73)
| less_or_equal(multiplicative_identity,Z_73) ),
inference(resolution,[status(thm)],[c_60,c_105]) ).
tff(c_264,plain,
( less_or_equal(multiplicative_identity,multiplicative_inverse(a))
| ~ defined(multiplicative_inverse(a)) ),
inference(resolution,[status(thm)],[c_255,c_132]) ).
tff(c_267,plain,
~ defined(multiplicative_inverse(a)),
inference(splitLeft,[status(thm)],[c_264]) ).
tff(c_270,plain,
( equalish(a,additive_identity)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_30,c_267]) ).
tff(c_273,plain,
equalish(a,additive_identity),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_270]) ).
tff(c_275,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_273]) ).
tff(c_277,plain,
defined(multiplicative_inverse(a)),
inference(splitRight,[status(thm)],[c_264]) ).
tff(c_65,plain,
! [Y_53,X_54] :
( ~ equalish(Y_53,X_54)
| equalish(X_54,Y_53) ),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_71,plain,
equalish(multiplicative_identity,multiplicative_inverse(a)),
inference(resolution,[status(thm)],[c_60,c_65]) ).
tff(c_145,plain,
! [Y_76,Z_77,X_78] :
( ~ equalish(Y_76,Z_77)
| ~ equalish(X_78,Y_76)
| equalish(X_78,Z_77) ),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_173,plain,
! [X_79] :
( ~ equalish(X_79,multiplicative_inverse(a))
| equalish(X_79,multiplicative_identity) ),
inference(resolution,[status(thm)],[c_60,c_145]) ).
tff(c_191,plain,
equalish(multiplicative_identity,multiplicative_identity),
inference(resolution,[status(thm)],[c_71,c_173]) ).
tff(c_76,plain,
! [X_55] :
( ~ defined(X_55)
| equalish(multiply(multiplicative_identity,X_55),X_55) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_44,plain,
! [Y_38,X_37] :
( ~ equalish(Y_38,X_37)
| equalish(X_37,Y_38) ),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_79,plain,
! [X_55] :
( equalish(X_55,multiply(multiplicative_identity,X_55))
| ~ defined(X_55) ),
inference(resolution,[status(thm)],[c_76,c_44]) ).
tff(c_622,plain,
! [X_104,Y_105,Z_106] :
( ~ equalish(X_104,Y_105)
| ~ defined(Z_106)
| equalish(multiply(X_104,Z_106),multiply(Y_105,Z_106)) ),
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_46,plain,
! [Y_41,Z_40,X_39] :
( ~ equalish(Y_41,Z_40)
| ~ equalish(X_39,Y_41)
| equalish(X_39,Z_40) ),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_7201,plain,
! [X_270,X_271,Z_272,Y_273] :
( ~ equalish(X_270,multiply(X_271,Z_272))
| equalish(X_270,multiply(Y_273,Z_272))
| ~ equalish(X_271,Y_273)
| ~ defined(Z_272) ),
inference(resolution,[status(thm)],[c_622,c_46]) ).
tff(c_7360,plain,
! [X_55,Y_273] :
( equalish(X_55,multiply(Y_273,X_55))
| ~ equalish(multiplicative_identity,Y_273)
| ~ defined(X_55) ),
inference(resolution,[status(thm)],[c_79,c_7201]) ).
tff(c_3205,plain,
! [Y_191,Z_192,X_193] :
( equalish(multiply(Y_191,Z_192),multiply(X_193,Z_192))
| ~ equalish(X_193,Y_191)
| ~ defined(Z_192) ),
inference(resolution,[status(thm)],[c_622,c_44]) ).
tff(c_41836,plain,
! [X_583,Y_584,Z_585,X_586] :
( ~ equalish(X_583,multiply(Y_584,Z_585))
| equalish(X_583,multiply(X_586,Z_585))
| ~ equalish(X_586,Y_584)
| ~ defined(Z_585) ),
inference(resolution,[status(thm)],[c_3205,c_46]) ).
tff(c_182869,plain,
! [X_1252,X_1253,Y_1254] :
( equalish(X_1252,multiply(X_1253,X_1252))
| ~ equalish(X_1253,Y_1254)
| ~ equalish(multiplicative_identity,Y_1254)
| ~ defined(X_1252) ),
inference(resolution,[status(thm)],[c_7360,c_41836]) ).
tff(c_184671,plain,
! [X_1252] :
( equalish(X_1252,multiply(multiplicative_inverse(a),X_1252))
| ~ equalish(multiplicative_identity,multiplicative_identity)
| ~ defined(X_1252) ),
inference(resolution,[status(thm)],[c_60,c_182869]) ).
tff(c_186787,plain,
! [X_1255] :
( equalish(X_1255,multiply(multiplicative_inverse(a),X_1255))
| ~ defined(X_1255) ),
inference(demodulation,[status(thm),theory(equality)],[c_191,c_184671]) ).
tff(c_278,plain,
! [Y_84,X_85] :
( ~ defined(Y_84)
| ~ defined(X_85)
| equalish(multiply(X_85,Y_84),multiply(Y_84,X_85)) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_285,plain,
! [X_39,X_85,Y_84] :
( ~ equalish(X_39,multiply(X_85,Y_84))
| equalish(X_39,multiply(Y_84,X_85))
| ~ defined(Y_84)
| ~ defined(X_85) ),
inference(resolution,[status(thm)],[c_278,c_46]) ).
tff(c_186957,plain,
! [X_1255] :
( equalish(X_1255,multiply(X_1255,multiplicative_inverse(a)))
| ~ defined(multiplicative_inverse(a))
| ~ defined(X_1255) ),
inference(resolution,[status(thm)],[c_186787,c_285]) ).
tff(c_194288,plain,
! [X_1272] :
( equalish(X_1272,multiply(X_1272,multiplicative_inverse(a)))
| ~ defined(X_1272) ),
inference(demodulation,[status(thm),theory(equality)],[c_277,c_186957]) ).
tff(c_325,plain,
! [X_88] :
( equalish(X_88,additive_identity)
| ~ defined(X_88)
| equalish(multiply(X_88,multiplicative_inverse(X_88)),multiplicative_identity) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_332,plain,
! [X_39,X_88] :
( ~ equalish(X_39,multiply(X_88,multiplicative_inverse(X_88)))
| equalish(X_39,multiplicative_identity)
| equalish(X_88,additive_identity)
| ~ defined(X_88) ),
inference(resolution,[status(thm)],[c_325,c_46]) ).
tff(c_194455,plain,
( equalish(a,multiplicative_identity)
| equalish(a,additive_identity)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_194288,c_332]) ).
tff(c_194590,plain,
( equalish(a,multiplicative_identity)
| equalish(a,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_194455]) ).
tff(c_194592,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_62,c_194590]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD032-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % 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
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 19:55:37 EDT 2023
% 0.14/0.36 % CPUTime :
% 102.59/88.18 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 102.59/88.18
% 102.59/88.18 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 102.59/88.22
% 102.59/88.22 Inference rules
% 102.59/88.22 ----------------------
% 102.59/88.22 #Ref : 0
% 102.59/88.22 #Sup : 44853
% 102.59/88.22 #Fact : 12
% 102.59/88.22 #Define : 0
% 102.59/88.22 #Split : 23
% 102.59/88.22 #Chain : 0
% 102.59/88.22 #Close : 0
% 102.59/88.22
% 102.59/88.22 Ordering : KBO
% 102.59/88.22
% 102.59/88.22 Simplification rules
% 102.59/88.22 ----------------------
% 102.59/88.22 #Subsume : 9484
% 102.59/88.22 #Demod : 21735
% 102.59/88.22 #Tautology : 5903
% 102.59/88.22 #SimpNegUnit : 612
% 102.59/88.22 #BackRed : 0
% 102.59/88.22
% 102.59/88.22 #Partial instantiations: 0
% 102.59/88.22 #Strategies tried : 1
% 102.59/88.22
% 102.59/88.22 Timing (in seconds)
% 102.59/88.22 ----------------------
% 102.59/88.22 Preprocessing : 0.51
% 102.59/88.22 Parsing : 0.27
% 102.59/88.22 CNF conversion : 0.03
% 102.59/88.23 Main loop : 86.59
% 102.59/88.23 Inferencing : 6.97
% 102.59/88.23 Reduction : 43.12
% 102.59/88.23 Demodulation : 36.06
% 102.59/88.23 BG Simplification : 0.22
% 102.59/88.23 Subsumption : 29.29
% 102.59/88.23 Abstraction : 0.37
% 102.59/88.23 MUC search : 0.00
% 102.59/88.23 Cooper : 0.00
% 102.59/88.23 Total : 87.16
% 102.59/88.23 Index Insertion : 0.00
% 102.59/88.23 Index Deletion : 0.00
% 102.59/88.23 Index Matching : 0.00
% 102.59/88.23 BG Taut test : 0.00
%------------------------------------------------------------------------------