TSTP Solution File: PLA022-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : PLA022-2 : 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 : n002.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 10:53:38 EDT 2023
% Result : Unsatisfiable 3.82s 2.00s
% Output : CNFRefutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 30
% Syntax : Number of formulae : 55 ( 16 unt; 16 typ; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 111 ( 61 ~; 50 |; 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 : 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 : 57 (; 57 !; 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_177,axiom,
holds(clear(c),s0),
file(unknown,unknown) ).
tff(f_178,axiom,
holds(empty,s0),
file(unknown,unknown) ).
tff(f_175,axiom,
holds(clear(a),s0),
file(unknown,unknown) ).
tff(f_173,axiom,
holds(on(c,d),s0),
file(unknown,unknown) ).
tff(f_161,axiom,
differ(a,c),
file(unknown,unknown) ).
tff(f_159,axiom,
! [X,Y] :
( differ(X,Y)
| ~ differ(Y,X) ),
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_163,axiom,
differ(a,table),
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_84,axiom,
! [X,Y,Z,State] :
( holds(on(X,Y),do(pickup(Z),State))
| ~ holds(on(X,Y),State)
| ~ differ(X,Z) ),
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_121,axiom,
! [W,Z,X,Y,State] :
( holds(on(X,Y),do(putdown(Z,W),State))
| ~ holds(on(X,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(on(a,c),on(c,d)),State),
file(unknown,unknown) ).
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_52,plain,
holds(clear(a),s0),
inference(cnfTransformation,[status(thm)],[f_175]) ).
tff(c_48,plain,
holds(on(c,d),s0),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_26,plain,
differ(a,c),
inference(cnfTransformation,[status(thm)],[f_161]) ).
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_90,plain,
differ(c,a),
inference(resolution,[status(thm)],[c_26,c_64]) ).
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_30,plain,
differ(a,table),
inference(cnfTransformation,[status(thm)],[f_163]) ).
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_8,plain,
! [X_9,Z_11,Y_10,State_12] :
( ~ differ(X_9,Z_11)
| ~ holds(on(X_9,Y_10),State_12)
| holds(on(X_9,Y_10),do(pickup(Z_11),State_12)) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_176,plain,
! [Y_75,State_76,X_77] :
( ~ holds(clear(Y_75),State_76)
| ~ holds(holding(X_77),State_76)
| holds(on(X_77,Y_75),do(putdown(X_77,Y_75),State_76)) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_148,plain,
! [Y_50,X_53,W_49,State_51,Z_52] :
( ~ holds(on(X_53,Y_50),State_51)
| holds(on(X_53,Y_50),do(putdown(Z_52,W_49),State_51)) ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
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(on(a,c),on(c,d)),State_37),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_133,plain,
! [State_43] :
( ~ holds(on(c,d),State_43)
| ~ holds(on(a,c),State_43) ),
inference(resolution,[status(thm)],[c_128,c_62]) ).
tff(c_153,plain,
! [Z_52,W_49,State_51] :
( ~ holds(on(a,c),do(putdown(Z_52,W_49),State_51))
| ~ holds(on(c,d),State_51) ),
inference(resolution,[status(thm)],[c_148,c_133]) ).
tff(c_187,plain,
! [State_78] :
( ~ holds(on(c,d),State_78)
| ~ holds(clear(c),State_78)
| ~ holds(holding(a),State_78) ),
inference(resolution,[status(thm)],[c_176,c_153]) ).
tff(c_271,plain,
! [Z_94,State_95] :
( ~ holds(clear(c),do(pickup(Z_94),State_95))
| ~ holds(holding(a),do(pickup(Z_94),State_95))
| ~ differ(c,Z_94)
| ~ holds(on(c,d),State_95) ),
inference(resolution,[status(thm)],[c_8,c_187]) ).
tff(c_275,plain,
! [State_5] :
( ~ holds(clear(c),do(pickup(a),State_5))
| ~ differ(c,a)
| ~ holds(on(c,d),State_5)
| ~ differ(a,table)
| ~ holds(clear(a),State_5)
| ~ holds(empty,State_5) ),
inference(resolution,[status(thm)],[c_4,c_271]) ).
tff(c_280,plain,
! [State_97] :
( ~ holds(clear(c),do(pickup(a),State_97))
| ~ holds(on(c,d),State_97)
| ~ holds(clear(a),State_97)
| ~ holds(empty,State_97) ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_90,c_275]) ).
tff(c_288,plain,
! [State_15] :
( ~ holds(on(c,d),State_15)
| ~ holds(clear(a),State_15)
| ~ holds(empty,State_15)
| ~ differ(c,a)
| ~ holds(clear(c),State_15) ),
inference(resolution,[status(thm)],[c_10,c_280]) ).
tff(c_293,plain,
! [State_98] :
( ~ holds(on(c,d),State_98)
| ~ holds(clear(a),State_98)
| ~ holds(empty,State_98)
| ~ holds(clear(c),State_98) ),
inference(demodulation,[status(thm),theory(equality)],[c_90,c_288]) ).
tff(c_308,plain,
( ~ holds(clear(a),s0)
| ~ holds(empty,s0)
| ~ holds(clear(c),s0) ),
inference(resolution,[status(thm)],[c_48,c_293]) ).
tff(c_315,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56,c_58,c_52,c_308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : PLA022-2 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.15 % 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
% 0.14/0.36 % Computer : n002.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 18:33:46 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.82/2.00 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.82/2.01
% 3.82/2.01 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.82/2.04
% 3.82/2.04 Inference rules
% 3.82/2.04 ----------------------
% 3.82/2.04 #Ref : 0
% 3.82/2.04 #Sup : 49
% 3.82/2.04 #Fact : 0
% 3.82/2.04 #Define : 0
% 3.82/2.04 #Split : 0
% 3.82/2.04 #Chain : 0
% 3.82/2.04 #Close : 0
% 3.82/2.04
% 3.82/2.04 Ordering : KBO
% 3.82/2.04
% 3.82/2.04 Simplification rules
% 3.82/2.04 ----------------------
% 3.82/2.04 #Subsume : 4
% 3.82/2.04 #Demod : 20
% 3.82/2.04 #Tautology : 10
% 3.82/2.04 #SimpNegUnit : 0
% 3.82/2.04 #BackRed : 0
% 3.82/2.04
% 3.82/2.04 #Partial instantiations: 0
% 3.82/2.04 #Strategies tried : 1
% 3.82/2.04
% 3.82/2.04 Timing (in seconds)
% 3.82/2.04 ----------------------
% 3.82/2.04 Preprocessing : 0.49
% 3.82/2.04 Parsing : 0.28
% 3.82/2.04 CNF conversion : 0.03
% 3.82/2.04 Main loop : 0.40
% 3.82/2.05 Inferencing : 0.17
% 3.82/2.05 Reduction : 0.11
% 3.82/2.05 Demodulation : 0.08
% 3.82/2.05 BG Simplification : 0.02
% 3.82/2.05 Subsumption : 0.08
% 3.82/2.05 Abstraction : 0.01
% 3.82/2.05 MUC search : 0.00
% 3.82/2.05 Cooper : 0.00
% 3.82/2.05 Total : 0.95
% 3.82/2.05 Index Insertion : 0.00
% 3.82/2.05 Index Deletion : 0.00
% 3.82/2.05 Index Matching : 0.00
% 3.82/2.05 BG Taut test : 0.00
%------------------------------------------------------------------------------