TSTP Solution File: FLD065-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : FLD065-1 : 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/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 : Tue Aug 22 10:37:40 EDT 2023
% Result : Unsatisfiable 267.01s 245.13s
% Output : CNFRefutation 267.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 25
% Syntax : Number of formulae : 80 ( 22 unt; 10 typ; 0 def)
% Number of atoms : 153 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 174 ( 91 ~; 83 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 82 (; 82 !; 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_236,axiom,
defined(a),
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_131,axiom,
! [X] :
( defined(additive_inverse(X))
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_126,axiom,
defined(additive_identity),
file(unknown,unknown) ).
tff(f_67,axiom,
! [X] :
( equalish(add(X,additive_inverse(X)),additive_identity)
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_199,axiom,
! [X,Y] :
( equalish(X,Y)
| ~ equalish(Y,X) ),
file(unknown,unknown) ).
tff(f_62,axiom,
! [X] :
( equalish(add(additive_identity,X),X)
| ~ defined(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_231,axiom,
! [Y,Z,X] :
( less_or_equal(Y,Z)
| ~ less_or_equal(X,Z)
| ~ equalish(X,Y) ),
file(unknown,unknown) ).
tff(f_237,axiom,
less_or_equal(additive_inverse(a),additive_identity),
file(unknown,unknown) ).
tff(f_155,axiom,
! [X,Y] :
( equalish(X,Y)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(Y,X) ),
file(unknown,unknown) ).
tff(f_181,axiom,
! [X,Z,Y] :
( less_or_equal(add(X,Z),add(Y,Z))
| ~ defined(Z)
| ~ less_or_equal(X,Y) ),
file(unknown,unknown) ).
tff(f_75,axiom,
! [X,Y] :
( equalish(add(X,Y),add(Y,X))
| ~ defined(X)
| ~ defined(Y) ),
file(unknown,unknown) ).
tff(f_163,axiom,
! [X,Z,Y] :
( less_or_equal(X,Z)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(Y,Z) ),
file(unknown,unknown) ).
tff(f_239,axiom,
~ less_or_equal(additive_identity,a),
file(unknown,unknown) ).
tff(c_56,plain,
defined(a),
inference(cnfTransformation,[status(thm)],[f_236]) ).
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_161,plain,
! [X_29] :
( ~ defined(X_29)
| less_or_equal(X_29,X_29) ),
inference(factorization,[status(thm),theory(equality)],[c_36]) ).
tff(c_24,plain,
! [X_20] :
( ~ defined(X_20)
| defined(additive_inverse(X_20)) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_22,plain,
defined(additive_identity),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_84,plain,
! [X_61] :
( ~ defined(X_61)
| equalish(add(X_61,additive_inverse(X_61)),additive_identity) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
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_87,plain,
! [X_61] :
( equalish(additive_identity,add(X_61,additive_inverse(X_61)))
| ~ defined(X_61) ),
inference(resolution,[status(thm)],[c_84,c_44]) ).
tff(c_4,plain,
! [X_4] :
( ~ defined(X_4)
| equalish(add(additive_identity,X_4),X_4) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_94,plain,
! [Y_66,Z_67,X_68] :
( ~ equalish(Y_66,Z_67)
| ~ equalish(X_68,Y_66)
| equalish(X_68,Z_67) ),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_334,plain,
! [X_92,X_93] :
( ~ equalish(X_92,add(additive_identity,X_93))
| equalish(X_92,X_93)
| ~ defined(X_93) ),
inference(resolution,[status(thm)],[c_4,c_94]) ).
tff(c_338,plain,
( equalish(additive_identity,additive_inverse(additive_identity))
| ~ defined(additive_inverse(additive_identity))
| ~ defined(additive_identity) ),
inference(resolution,[status(thm)],[c_87,c_334]) ).
tff(c_356,plain,
( equalish(additive_identity,additive_inverse(additive_identity))
| ~ defined(additive_inverse(additive_identity)) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_338]) ).
tff(c_361,plain,
~ defined(additive_inverse(additive_identity)),
inference(splitLeft,[status(thm)],[c_356]) ).
tff(c_381,plain,
~ defined(additive_identity),
inference(resolution,[status(thm)],[c_24,c_361]) ).
tff(c_385,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_381]) ).
tff(c_386,plain,
equalish(additive_identity,additive_inverse(additive_identity)),
inference(splitRight,[status(thm)],[c_356]) ).
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_459,plain,
! [X_100] :
( ~ equalish(X_100,additive_identity)
| equalish(X_100,additive_inverse(additive_identity)) ),
inference(resolution,[status(thm)],[c_386,c_46]) ).
tff(c_52,plain,
! [X_50,Y_48,Z_49] :
( ~ equalish(X_50,Y_48)
| ~ less_or_equal(X_50,Z_49)
| less_or_equal(Y_48,Z_49) ),
inference(cnfTransformation,[status(thm)],[f_231]) ).
tff(c_288752,plain,
! [X_1708,Z_1709] :
( ~ less_or_equal(X_1708,Z_1709)
| less_or_equal(additive_inverse(additive_identity),Z_1709)
| ~ equalish(X_1708,additive_identity) ),
inference(resolution,[status(thm)],[c_459,c_52]) ).
tff(c_291208,plain,
! [X_1714] :
( less_or_equal(additive_inverse(additive_identity),X_1714)
| ~ equalish(X_1714,additive_identity)
| ~ defined(X_1714) ),
inference(resolution,[status(thm)],[c_161,c_288752]) ).
tff(c_396,plain,
equalish(additive_inverse(additive_identity),additive_identity),
inference(resolution,[status(thm)],[c_386,c_44]) ).
tff(c_403,plain,
! [Z_49] :
( ~ less_or_equal(additive_inverse(additive_identity),Z_49)
| less_or_equal(additive_identity,Z_49) ),
inference(resolution,[status(thm)],[c_396,c_52]) ).
tff(c_291393,plain,
! [X_1717] :
( less_or_equal(additive_identity,X_1717)
| ~ equalish(X_1717,additive_identity)
| ~ defined(X_1717) ),
inference(resolution,[status(thm)],[c_291208,c_403]) ).
tff(c_58,plain,
less_or_equal(additive_inverse(a),additive_identity),
inference(cnfTransformation,[status(thm)],[f_237]) ).
tff(c_121,plain,
! [Y_73,X_74] :
( ~ less_or_equal(Y_73,X_74)
| ~ less_or_equal(X_74,Y_73)
| equalish(X_74,Y_73) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_124,plain,
( ~ less_or_equal(additive_identity,additive_inverse(a))
| equalish(additive_identity,additive_inverse(a)) ),
inference(resolution,[status(thm)],[c_58,c_121]) ).
tff(c_125,plain,
~ less_or_equal(additive_identity,additive_inverse(a)),
inference(splitLeft,[status(thm)],[c_124]) ).
tff(c_291559,plain,
( ~ equalish(additive_inverse(a),additive_identity)
| ~ defined(additive_inverse(a)) ),
inference(resolution,[status(thm)],[c_291393,c_125]) ).
tff(c_291567,plain,
~ defined(additive_inverse(a)),
inference(splitLeft,[status(thm)],[c_291559]) ).
tff(c_291570,plain,
~ defined(a),
inference(resolution,[status(thm)],[c_24,c_291567]) ).
tff(c_291574,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56,c_291570]) ).
tff(c_291576,plain,
defined(additive_inverse(a)),
inference(splitRight,[status(thm)],[c_291559]) ).
tff(c_38,plain,
! [X_31,Y_33,Z_32] :
( ~ less_or_equal(X_31,Y_33)
| ~ defined(Z_32)
| less_or_equal(add(X_31,Z_32),add(Y_33,Z_32)) ),
inference(cnfTransformation,[status(thm)],[f_181]) ).
tff(c_422,plain,
! [Y_97,X_98] :
( ~ defined(Y_97)
| ~ defined(X_98)
| equalish(add(X_98,Y_97),add(Y_97,X_98)) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_3888,plain,
! [X_211,Y_212,Z_213] :
( ~ less_or_equal(add(X_211,Y_212),Z_213)
| less_or_equal(add(Y_212,X_211),Z_213)
| ~ defined(Y_212)
| ~ defined(X_211) ),
inference(resolution,[status(thm)],[c_422,c_52]) ).
tff(c_281534,plain,
! [Z_1638,X_1639,Y_1640] :
( less_or_equal(add(Z_1638,X_1639),add(Y_1640,Z_1638))
| ~ defined(X_1639)
| ~ less_or_equal(X_1639,Y_1640)
| ~ defined(Z_1638) ),
inference(resolution,[status(thm)],[c_38,c_3888]) ).
tff(c_6,plain,
! [X_5] :
( ~ defined(X_5)
| equalish(add(X_5,additive_inverse(X_5)),additive_identity) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_126,plain,
! [X_75,Y_76,Z_77] :
( ~ equalish(X_75,Y_76)
| ~ less_or_equal(X_75,Z_77)
| less_or_equal(Y_76,Z_77) ),
inference(cnfTransformation,[status(thm)],[f_231]) ).
tff(c_142,plain,
! [X_5,Z_77] :
( ~ less_or_equal(add(X_5,additive_inverse(X_5)),Z_77)
| less_or_equal(additive_identity,Z_77)
| ~ defined(X_5) ),
inference(resolution,[status(thm)],[c_6,c_126]) ).
tff(c_574121,plain,
! [Y_2735,Z_2736] :
( less_or_equal(additive_identity,add(Y_2735,Z_2736))
| ~ defined(additive_inverse(Z_2736))
| ~ less_or_equal(additive_inverse(Z_2736),Y_2735)
| ~ defined(Z_2736) ),
inference(resolution,[status(thm)],[c_281534,c_142]) ).
tff(c_574807,plain,
( less_or_equal(additive_identity,add(additive_identity,a))
| ~ defined(additive_inverse(a))
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_58,c_574121]) ).
tff(c_575118,plain,
less_or_equal(additive_identity,add(additive_identity,a)),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_291576,c_574807]) ).
tff(c_67,plain,
! [X_55] :
( ~ defined(X_55)
| equalish(add(additive_identity,X_55),X_55) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_70,plain,
! [X_55] :
( equalish(X_55,add(additive_identity,X_55))
| ~ defined(X_55) ),
inference(resolution,[status(thm)],[c_67,c_44]) ).
tff(c_271352,plain,
! [X_1547,Z_1548] :
( ~ less_or_equal(X_1547,Z_1548)
| less_or_equal(add(additive_identity,X_1547),Z_1548)
| ~ defined(X_1547) ),
inference(resolution,[status(thm)],[c_70,c_126]) ).
tff(c_34,plain,
! [Y_28,Z_27,X_26] :
( ~ less_or_equal(Y_28,Z_27)
| ~ less_or_equal(X_26,Y_28)
| less_or_equal(X_26,Z_27) ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_271512,plain,
! [X_26,X_1547,Z_1548] :
( ~ less_or_equal(X_26,add(additive_identity,X_1547))
| less_or_equal(X_26,Z_1548)
| ~ less_or_equal(X_1547,Z_1548)
| ~ defined(X_1547) ),
inference(resolution,[status(thm)],[c_271352,c_34]) ).
tff(c_575126,plain,
! [Z_1548] :
( less_or_equal(additive_identity,Z_1548)
| ~ less_or_equal(a,Z_1548)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_575118,c_271512]) ).
tff(c_576270,plain,
! [Z_2738] :
( less_or_equal(additive_identity,Z_2738)
| ~ less_or_equal(a,Z_2738) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_575126]) ).
tff(c_60,plain,
~ less_or_equal(additive_identity,a),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_576812,plain,
~ less_or_equal(a,a),
inference(resolution,[status(thm)],[c_576270,c_60]) ).
tff(c_576839,plain,
~ defined(a),
inference(resolution,[status(thm)],[c_161,c_576812]) ).
tff(c_576866,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56,c_576839]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : FLD065-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.15 % 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
% 0.15/0.37 % Computer : n005.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 19:59:26 EDT 2023
% 0.15/0.37 % CPUTime :
% 267.01/245.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 267.01/245.14
% 267.01/245.14 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 267.01/245.19
% 267.01/245.19 Inference rules
% 267.01/245.19 ----------------------
% 267.01/245.19 #Ref : 0
% 267.01/245.19 #Sup : 128297
% 267.01/245.19 #Fact : 38
% 267.01/245.19 #Define : 0
% 267.01/245.19 #Split : 55
% 267.01/245.19 #Chain : 0
% 267.01/245.19 #Close : 0
% 267.01/245.19
% 267.01/245.19 Ordering : KBO
% 267.01/245.19
% 267.01/245.19 Simplification rules
% 267.01/245.19 ----------------------
% 267.01/245.19 #Subsume : 36435
% 267.01/245.19 #Demod : 69958
% 267.01/245.19 #Tautology : 17824
% 267.01/245.19 #SimpNegUnit : 3820
% 267.01/245.19 #BackRed : 0
% 267.01/245.19
% 267.01/245.19 #Partial instantiations: 0
% 267.01/245.19 #Strategies tried : 1
% 267.01/245.19
% 267.01/245.19 Timing (in seconds)
% 267.01/245.19 ----------------------
% 267.01/245.19 Preprocessing : 0.52
% 267.01/245.19 Parsing : 0.29
% 267.01/245.19 CNF conversion : 0.03
% 267.01/245.19 Main loop : 243.49
% 267.01/245.19 Inferencing : 16.29
% 267.01/245.19 Reduction : 119.66
% 267.01/245.19 Demodulation : 98.40
% 267.01/245.19 BG Simplification : 0.50
% 267.01/245.19 Subsumption : 88.31
% 267.01/245.19 Abstraction : 1.00
% 267.01/245.19 MUC search : 0.00
% 267.01/245.19 Cooper : 0.00
% 267.01/245.19 Total : 244.08
% 267.01/245.19 Index Insertion : 0.00
% 267.01/245.19 Index Deletion : 0.00
% 267.01/245.19 Index Matching : 0.00
% 267.01/245.19 BG Taut test : 0.00
%------------------------------------------------------------------------------