TSTP Solution File: PLA009-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : PLA009-2 : TPTP v8.1.2. Released v1.1.0.
% 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 : n031.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 10:53:35 EDT 2023
% Result : Unsatisfiable 7.77s 2.93s
% Output : CNFRefutation 7.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 40
% Syntax : Number of formulae : 89 ( 36 unt; 16 typ; 0 def)
% Number of atoms : 196 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 269 ( 146 ~; 123 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 9 >; 6 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 84 (; 84 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ holds > differ > putdown > on > do > and > #nlpp > pickup > holding > clear > table > s0 > empty > d > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(s0,type,
s0: $i ).
tff(a,type,
a: $i ).
tff(putdown,type,
putdown: ( $i * $i ) > $i ).
tff(pickup,type,
pickup: $i > $i ).
tff(b,type,
b: $i ).
tff(on,type,
on: ( $i * $i ) > $i ).
tff(holding,type,
holding: $i > $i ).
tff(holds,type,
holds: ( $i * $i ) > $o ).
tff(clear,type,
clear: $i > $i ).
tff(d,type,
d: $i ).
tff(table,type,
table: $i ).
tff(and,type,
and: ( $i * $i ) > $i ).
tff(differ,type,
differ: ( $i * $i ) > $o ).
tff(empty,type,
empty: $i ).
tff(do,type,
do: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_175,axiom,
holds(clear(a),s0),
file(unknown,unknown) ).
tff(f_161,axiom,
differ(a,c),
file(unknown,unknown) ).
tff(f_176,axiom,
holds(clear(b),s0),
file(unknown,unknown) ).
tff(f_164,axiom,
differ(b,c),
file(unknown,unknown) ).
tff(f_177,axiom,
holds(clear(c),s0),
file(unknown,unknown) ).
tff(f_178,axiom,
holds(empty,s0),
file(unknown,unknown) ).
tff(f_168,axiom,
differ(c,table),
file(unknown,unknown) ).
tff(f_173,axiom,
holds(on(c,d),s0),
file(unknown,unknown) ).
tff(f_92,axiom,
! [X,Z,State] :
( holds(clear(X),do(pickup(Z),State))
| ~ holds(clear(X),State)
| ~ differ(X,Z) ),
file(unknown,unknown) ).
tff(f_76,axiom,
! [Y,X,State] :
( holds(clear(Y),do(pickup(X),State))
| ~ holds(on(X,Y),State)
| ~ holds(clear(X),State)
| ~ holds(empty,State) ),
file(unknown,unknown) ).
tff(f_65,axiom,
! [X,State] :
( holds(holding(X),do(pickup(X),State))
| ~ holds(empty,State)
| ~ holds(clear(X),State)
| ~ differ(X,table) ),
file(unknown,unknown) ).
tff(f_163,axiom,
differ(a,table),
file(unknown,unknown) ).
tff(f_166,axiom,
differ(b,table),
file(unknown,unknown) ).
tff(f_169,axiom,
differ(d,table),
file(unknown,unknown) ).
tff(f_181,axiom,
! [State] : holds(clear(table),State),
file(unknown,unknown) ).
tff(f_100,axiom,
! [X,Y,State] :
( holds(empty,do(putdown(X,Y),State))
| ~ holds(holding(X),State)
| ~ holds(clear(Y),State) ),
file(unknown,unknown) ).
tff(f_129,axiom,
! [Z,X,Y,State] :
( holds(clear(Z),do(putdown(X,Y),State))
| ~ holds(clear(Z),State)
| ~ differ(Z,Y) ),
file(unknown,unknown) ).
tff(f_160,axiom,
differ(a,b),
file(unknown,unknown) ).
tff(f_159,axiom,
! [X,Y] :
( differ(X,Y)
| ~ differ(Y,X) ),
file(unknown,unknown) ).
tff(f_162,axiom,
differ(a,d),
file(unknown,unknown) ).
tff(f_165,axiom,
differ(b,d),
file(unknown,unknown) ).
tff(f_108,axiom,
! [X,Y,State] :
( holds(on(X,Y),do(putdown(X,Y),State))
| ~ holds(holding(X),State)
| ~ holds(clear(Y),State) ),
file(unknown,unknown) ).
tff(f_54,axiom,
! [X,Y,State] :
( holds(and(X,Y),State)
| ~ holds(X,State)
| ~ holds(Y,State) ),
file(unknown,unknown) ).
tff(f_186,axiom,
! [State] : ~ holds(and(clear(d),on(a,b)),State),
file(unknown,unknown) ).
tff(c_52,plain,
holds(clear(a),s0),
inference(cnfTransformation,[status(thm)],[f_175]) ).
tff(c_26,plain,
differ(a,c),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_54,plain,
holds(clear(b),s0),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_32,plain,
differ(b,c),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_56,plain,
holds(clear(c),s0),
inference(cnfTransformation,[status(thm)],[f_177]) ).
tff(c_58,plain,
holds(empty,s0),
inference(cnfTransformation,[status(thm)],[f_178]) ).
tff(c_40,plain,
differ(c,table),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_48,plain,
holds(on(c,d),s0),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_10,plain,
! [X_13,Z_14,State_15] :
( ~ differ(X_13,Z_14)
| ~ holds(clear(X_13),State_15)
| holds(clear(X_13),do(pickup(Z_14),State_15)) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_6,plain,
! [State_8,X_7,Y_6] :
( ~ holds(empty,State_8)
| ~ holds(clear(X_7),State_8)
| ~ holds(on(X_7,Y_6),State_8)
| holds(clear(Y_6),do(pickup(X_7),State_8)) ),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_4,plain,
! [X_4,State_5] :
( ~ differ(X_4,table)
| ~ holds(clear(X_4),State_5)
| ~ holds(empty,State_5)
| holds(holding(X_4),do(pickup(X_4),State_5)) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_30,plain,
differ(a,table),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_36,plain,
differ(b,table),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_42,plain,
differ(d,table),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_60,plain,
! [State_36] : holds(clear(table),State_36),
inference(cnfTransformation,[status(thm)],[f_181]) ).
tff(c_12,plain,
! [Y_17,State_18,X_16] :
( ~ holds(clear(Y_17),State_18)
| ~ holds(holding(X_16),State_18)
| holds(empty,do(putdown(X_16,Y_17),State_18)) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_20,plain,
! [Z_30,Y_32,State_33,X_31] :
( ~ differ(Z_30,Y_32)
| ~ holds(clear(Z_30),State_33)
| holds(clear(Z_30),do(putdown(X_31,Y_32),State_33)) ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_24,plain,
differ(a,b),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_64,plain,
! [Y_39,X_40] :
( ~ differ(Y_39,X_40)
| differ(X_40,Y_39) ),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_85,plain,
differ(b,a),
inference(resolution,[status(thm)],[c_24,c_64]) ).
tff(c_28,plain,
differ(a,d),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_91,plain,
differ(d,a),
inference(resolution,[status(thm)],[c_28,c_64]) ).
tff(c_34,plain,
differ(b,d),
inference(cnfTransformation,[status(thm)],[f_165]) ).
tff(c_89,plain,
differ(d,b),
inference(resolution,[status(thm)],[c_34,c_64]) ).
tff(c_186,plain,
! [Y_77,State_78,X_79] :
( ~ holds(clear(Y_77),State_78)
| ~ holds(holding(X_79),State_78)
| holds(on(X_79,Y_77),do(putdown(X_79,Y_77),State_78)) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_128,plain,
! [Y_42,State_43,X_44] :
( ~ holds(Y_42,State_43)
| ~ holds(X_44,State_43)
| holds(and(X_44,Y_42),State_43) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_62,plain,
! [State_37] : ~ holds(and(clear(d),on(a,b)),State_37),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_133,plain,
! [State_43] :
( ~ holds(on(a,b),State_43)
| ~ holds(clear(d),State_43) ),
inference(resolution,[status(thm)],[c_128,c_62]) ).
tff(c_196,plain,
! [State_80] :
( ~ holds(clear(d),do(putdown(a,b),State_80))
| ~ holds(clear(b),State_80)
| ~ holds(holding(a),State_80) ),
inference(resolution,[status(thm)],[c_186,c_133]) ).
tff(c_200,plain,
! [State_33] :
( ~ holds(clear(b),State_33)
| ~ holds(holding(a),State_33)
| ~ differ(d,b)
| ~ holds(clear(d),State_33) ),
inference(resolution,[status(thm)],[c_20,c_196]) ).
tff(c_210,plain,
! [State_84] :
( ~ holds(clear(b),State_84)
| ~ holds(holding(a),State_84)
| ~ holds(clear(d),State_84) ),
inference(demodulation,[status(thm),theory(equality)],[c_89,c_200]) ).
tff(c_214,plain,
! [State_5] :
( ~ holds(clear(b),do(pickup(a),State_5))
| ~ holds(clear(d),do(pickup(a),State_5))
| ~ differ(a,table)
| ~ holds(clear(a),State_5)
| ~ holds(empty,State_5) ),
inference(resolution,[status(thm)],[c_4,c_210]) ).
tff(c_231,plain,
! [State_87] :
( ~ holds(clear(b),do(pickup(a),State_87))
| ~ holds(clear(d),do(pickup(a),State_87))
| ~ holds(clear(a),State_87)
| ~ holds(empty,State_87) ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_214]) ).
tff(c_239,plain,
! [State_15] :
( ~ holds(clear(b),do(pickup(a),State_15))
| ~ holds(clear(a),State_15)
| ~ holds(empty,State_15)
| ~ differ(d,a)
| ~ holds(clear(d),State_15) ),
inference(resolution,[status(thm)],[c_10,c_231]) ).
tff(c_289,plain,
! [State_91] :
( ~ holds(clear(b),do(pickup(a),State_91))
| ~ holds(clear(a),State_91)
| ~ holds(empty,State_91)
| ~ holds(clear(d),State_91) ),
inference(demodulation,[status(thm),theory(equality)],[c_91,c_239]) ).
tff(c_297,plain,
! [State_15] :
( ~ holds(clear(a),State_15)
| ~ holds(empty,State_15)
| ~ holds(clear(d),State_15)
| ~ differ(b,a)
| ~ holds(clear(b),State_15) ),
inference(resolution,[status(thm)],[c_10,c_289]) ).
tff(c_302,plain,
! [State_92] :
( ~ holds(clear(a),State_92)
| ~ holds(empty,State_92)
| ~ holds(clear(d),State_92)
| ~ holds(clear(b),State_92) ),
inference(demodulation,[status(thm),theory(equality)],[c_85,c_297]) ).
tff(c_956,plain,
! [X_263,Y_264,State_265] :
( ~ holds(clear(a),do(putdown(X_263,Y_264),State_265))
| ~ holds(empty,do(putdown(X_263,Y_264),State_265))
| ~ holds(clear(b),do(putdown(X_263,Y_264),State_265))
| ~ differ(d,Y_264)
| ~ holds(clear(d),State_265) ),
inference(resolution,[status(thm)],[c_20,c_302]) ).
tff(c_967,plain,
! [X_266,Y_267,State_268] :
( ~ holds(clear(a),do(putdown(X_266,Y_267),State_268))
| ~ holds(empty,do(putdown(X_266,Y_267),State_268))
| ~ differ(d,Y_267)
| ~ holds(clear(d),State_268)
| ~ differ(b,Y_267)
| ~ holds(clear(b),State_268) ),
inference(resolution,[status(thm)],[c_20,c_956]) ).
tff(c_978,plain,
! [X_269,Y_270,State_271] :
( ~ holds(empty,do(putdown(X_269,Y_270),State_271))
| ~ differ(d,Y_270)
| ~ holds(clear(d),State_271)
| ~ differ(b,Y_270)
| ~ holds(clear(b),State_271)
| ~ differ(a,Y_270)
| ~ holds(clear(a),State_271) ),
inference(resolution,[status(thm)],[c_20,c_967]) ).
tff(c_983,plain,
! [Y_272,State_273,X_274] :
( ~ differ(d,Y_272)
| ~ holds(clear(d),State_273)
| ~ differ(b,Y_272)
| ~ holds(clear(b),State_273)
| ~ differ(a,Y_272)
| ~ holds(clear(a),State_273)
| ~ holds(clear(Y_272),State_273)
| ~ holds(holding(X_274),State_273) ),
inference(resolution,[status(thm)],[c_12,c_978]) ).
tff(c_993,plain,
! [State_36,X_274] :
( ~ differ(d,table)
| ~ holds(clear(d),State_36)
| ~ differ(b,table)
| ~ holds(clear(b),State_36)
| ~ differ(a,table)
| ~ holds(clear(a),State_36)
| ~ holds(holding(X_274),State_36) ),
inference(resolution,[status(thm)],[c_60,c_983]) ).
tff(c_1017,plain,
! [State_275,X_276] :
( ~ holds(clear(d),State_275)
| ~ holds(clear(b),State_275)
| ~ holds(clear(a),State_275)
| ~ holds(holding(X_276),State_275) ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_36,c_42,c_993]) ).
tff(c_2339,plain,
! [X_637,State_638] :
( ~ holds(clear(d),do(pickup(X_637),State_638))
| ~ holds(clear(b),do(pickup(X_637),State_638))
| ~ holds(clear(a),do(pickup(X_637),State_638))
| ~ differ(X_637,table)
| ~ holds(clear(X_637),State_638)
| ~ holds(empty,State_638) ),
inference(resolution,[status(thm)],[c_4,c_1017]) ).
tff(c_2350,plain,
! [X_639,State_640] :
( ~ holds(clear(b),do(pickup(X_639),State_640))
| ~ holds(clear(a),do(pickup(X_639),State_640))
| ~ differ(X_639,table)
| ~ holds(empty,State_640)
| ~ holds(clear(X_639),State_640)
| ~ holds(on(X_639,d),State_640) ),
inference(resolution,[status(thm)],[c_6,c_2339]) ).
tff(c_2417,plain,
! [Z_647,State_648] :
( ~ holds(clear(a),do(pickup(Z_647),State_648))
| ~ differ(Z_647,table)
| ~ holds(empty,State_648)
| ~ holds(clear(Z_647),State_648)
| ~ holds(on(Z_647,d),State_648)
| ~ differ(b,Z_647)
| ~ holds(clear(b),State_648) ),
inference(resolution,[status(thm)],[c_10,c_2350]) ).
tff(c_2459,plain,
! [Z_657,State_658] :
( ~ differ(Z_657,table)
| ~ holds(empty,State_658)
| ~ holds(clear(Z_657),State_658)
| ~ holds(on(Z_657,d),State_658)
| ~ differ(b,Z_657)
| ~ holds(clear(b),State_658)
| ~ differ(a,Z_657)
| ~ holds(clear(a),State_658) ),
inference(resolution,[status(thm)],[c_10,c_2417]) ).
tff(c_2474,plain,
( ~ differ(c,table)
| ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ differ(b,c)
| ~ holds(clear(b),s0)
| ~ differ(a,c)
| ~ holds(clear(a),s0) ),
inference(resolution,[status(thm)],[c_48,c_2459]) ).
tff(c_2481,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_26,c_54,c_32,c_56,c_58,c_40,c_2474]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : PLA009-2 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.15 % 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
% 0.15/0.37 % Computer : n031.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 18:44:30 EDT 2023
% 0.15/0.37 % CPUTime :
% 7.77/2.93 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.77/2.95
% 7.77/2.95 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.77/3.00
% 7.77/3.00 Inference rules
% 7.77/3.00 ----------------------
% 7.77/3.00 #Ref : 0
% 7.77/3.00 #Sup : 468
% 7.77/3.00 #Fact : 0
% 7.77/3.00 #Define : 0
% 7.77/3.00 #Split : 3
% 7.77/3.00 #Chain : 0
% 7.77/3.00 #Close : 0
% 7.77/3.00
% 7.77/3.00 Ordering : KBO
% 7.77/3.00
% 7.77/3.00 Simplification rules
% 7.77/3.00 ----------------------
% 7.77/3.00 #Subsume : 106
% 7.77/3.00 #Demod : 111
% 7.77/3.00 #Tautology : 10
% 7.77/3.00 #SimpNegUnit : 0
% 7.77/3.00 #BackRed : 0
% 7.77/3.00
% 7.77/3.00 #Partial instantiations: 0
% 7.77/3.00 #Strategies tried : 1
% 7.77/3.00
% 7.77/3.00 Timing (in seconds)
% 7.77/3.00 ----------------------
% 7.77/3.01 Preprocessing : 0.49
% 7.77/3.01 Parsing : 0.27
% 7.77/3.01 CNF conversion : 0.03
% 7.77/3.01 Main loop : 1.33
% 7.77/3.01 Inferencing : 0.49
% 7.77/3.01 Reduction : 0.31
% 7.77/3.01 Demodulation : 0.25
% 7.77/3.01 BG Simplification : 0.03
% 7.77/3.01 Subsumption : 0.42
% 7.77/3.01 Abstraction : 0.03
% 7.77/3.01 MUC search : 0.00
% 7.77/3.01 Cooper : 0.00
% 7.77/3.01 Total : 1.90
% 7.77/3.01 Index Insertion : 0.00
% 7.77/3.01 Index Deletion : 0.00
% 7.77/3.01 Index Matching : 0.00
% 7.77/3.01 BG Taut test : 0.00
%------------------------------------------------------------------------------