TSTP Solution File: PLA016-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : PLA016-1 : 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 : 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 10:53:37 EDT 2023
% Result : Unsatisfiable 4.13s 2.01s
% Output : CNFRefutation 4.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 33
% Syntax : Number of formulae : 65 ( 23 unt; 16 typ; 0 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 164 ( 90 ~; 74 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 64 (; 64 !; 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_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_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_162,axiom,
differ(a,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_186,axiom,
! [State] : ~ holds(on(d,a),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_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_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_28,plain,
differ(a,d),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_153,plain,
! [Y_67,State_68,X_69] :
( ~ holds(clear(Y_67),State_68)
| ~ holds(holding(X_69),State_68)
| holds(on(X_69,Y_67),do(putdown(X_69,Y_67),State_68)) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_62,plain,
! [State_37] : ~ holds(on(d,a),State_37),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_160,plain,
! [State_72] :
( ~ holds(clear(a),State_72)
| ~ holds(holding(d),State_72) ),
inference(resolution,[status(thm)],[c_153,c_62]) ).
tff(c_164,plain,
! [State_5] :
( ~ holds(clear(a),do(pickup(d),State_5))
| ~ differ(d,table)
| ~ holds(clear(d),State_5)
| ~ holds(empty,State_5) ),
inference(resolution,[status(thm)],[c_4,c_160]) ).
tff(c_168,plain,
! [State_73] :
( ~ holds(clear(a),do(pickup(d),State_73))
| ~ holds(clear(d),State_73)
| ~ holds(empty,State_73) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_164]) ).
tff(c_172,plain,
! [State_15] :
( ~ holds(clear(d),State_15)
| ~ holds(empty,State_15)
| ~ differ(a,d)
| ~ holds(clear(a),State_15) ),
inference(resolution,[status(thm)],[c_10,c_168]) ).
tff(c_176,plain,
! [State_74] :
( ~ holds(clear(d),State_74)
| ~ holds(empty,State_74)
| ~ holds(clear(a),State_74) ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_172]) ).
tff(c_214,plain,
! [X_80,Y_81,State_82] :
( ~ holds(empty,do(putdown(X_80,Y_81),State_82))
| ~ holds(clear(a),do(putdown(X_80,Y_81),State_82))
| ~ differ(d,Y_81)
| ~ holds(clear(d),State_82) ),
inference(resolution,[status(thm)],[c_20,c_176]) ).
tff(c_226,plain,
! [X_85,Y_86,State_87] :
( ~ holds(empty,do(putdown(X_85,Y_86),State_87))
| ~ differ(d,Y_86)
| ~ holds(clear(d),State_87)
| ~ differ(a,Y_86)
| ~ holds(clear(a),State_87) ),
inference(resolution,[status(thm)],[c_20,c_214]) ).
tff(c_395,plain,
! [Y_123,State_124,X_125] :
( ~ differ(d,Y_123)
| ~ holds(clear(d),State_124)
| ~ differ(a,Y_123)
| ~ holds(clear(a),State_124)
| ~ holds(clear(Y_123),State_124)
| ~ holds(holding(X_125),State_124) ),
inference(resolution,[status(thm)],[c_12,c_226]) ).
tff(c_405,plain,
! [State_36,X_125] :
( ~ differ(d,table)
| ~ holds(clear(d),State_36)
| ~ differ(a,table)
| ~ holds(clear(a),State_36)
| ~ holds(holding(X_125),State_36) ),
inference(resolution,[status(thm)],[c_60,c_395]) ).
tff(c_429,plain,
! [State_126,X_127] :
( ~ holds(clear(d),State_126)
| ~ holds(clear(a),State_126)
| ~ holds(holding(X_127),State_126) ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_42,c_405]) ).
tff(c_453,plain,
! [X_135,State_136] :
( ~ holds(clear(d),do(pickup(X_135),State_136))
| ~ holds(clear(a),do(pickup(X_135),State_136))
| ~ differ(X_135,table)
| ~ holds(clear(X_135),State_136)
| ~ holds(empty,State_136) ),
inference(resolution,[status(thm)],[c_4,c_429]) ).
tff(c_464,plain,
! [X_137,State_138] :
( ~ holds(clear(a),do(pickup(X_137),State_138))
| ~ differ(X_137,table)
| ~ holds(empty,State_138)
| ~ holds(clear(X_137),State_138)
| ~ holds(on(X_137,d),State_138) ),
inference(resolution,[status(thm)],[c_6,c_453]) ).
tff(c_497,plain,
! [Z_141,State_142] :
( ~ differ(Z_141,table)
| ~ holds(empty,State_142)
| ~ holds(clear(Z_141),State_142)
| ~ holds(on(Z_141,d),State_142)
| ~ differ(a,Z_141)
| ~ holds(clear(a),State_142) ),
inference(resolution,[status(thm)],[c_10,c_464]) ).
tff(c_512,plain,
( ~ differ(c,table)
| ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ differ(a,c)
| ~ holds(clear(a),s0) ),
inference(resolution,[status(thm)],[c_48,c_497]) ).
tff(c_519,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_26,c_56,c_58,c_40,c_512]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : PLA016-1 : TPTP v8.1.2. Released v1.1.0.
% 0.13/0.14 % 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
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 18:15:07 EDT 2023
% 0.13/0.35 % CPUTime :
% 4.13/2.01 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.13/2.02
% 4.13/2.02 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.43/2.05
% 4.43/2.05 Inference rules
% 4.43/2.05 ----------------------
% 4.43/2.05 #Ref : 0
% 4.43/2.05 #Sup : 93
% 4.43/2.05 #Fact : 0
% 4.43/2.05 #Define : 0
% 4.43/2.05 #Split : 1
% 4.43/2.05 #Chain : 0
% 4.43/2.05 #Close : 0
% 4.43/2.05
% 4.43/2.05 Ordering : KBO
% 4.43/2.05
% 4.43/2.05 Simplification rules
% 4.43/2.05 ----------------------
% 4.43/2.05 #Subsume : 24
% 4.43/2.05 #Demod : 37
% 4.43/2.05 #Tautology : 10
% 4.43/2.05 #SimpNegUnit : 0
% 4.43/2.05 #BackRed : 0
% 4.43/2.05
% 4.43/2.05 #Partial instantiations: 0
% 4.43/2.05 #Strategies tried : 1
% 4.43/2.05
% 4.43/2.05 Timing (in seconds)
% 4.43/2.05 ----------------------
% 4.43/2.06 Preprocessing : 0.48
% 4.43/2.06 Parsing : 0.26
% 4.43/2.06 CNF conversion : 0.03
% 4.43/2.06 Main loop : 0.50
% 4.43/2.06 Inferencing : 0.20
% 4.43/2.06 Reduction : 0.13
% 4.43/2.06 Demodulation : 0.10
% 4.43/2.06 BG Simplification : 0.02
% 4.43/2.06 Subsumption : 0.11
% 4.43/2.06 Abstraction : 0.01
% 4.43/2.06 MUC search : 0.00
% 4.43/2.06 Cooper : 0.00
% 4.43/2.06 Total : 1.03
% 4.43/2.06 Index Insertion : 0.00
% 4.43/2.06 Index Deletion : 0.00
% 4.43/2.06 Index Matching : 0.00
% 4.43/2.06 BG Taut test : 0.00
%------------------------------------------------------------------------------