TSTP Solution File: PLA008-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : PLA008-1 : 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/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 : n003.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 12.23s 4.93s
% Output : CNFRefutation 12.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 44
% Syntax : Number of formulae : 116 ( 40 unt; 16 typ; 0 def)
% Number of atoms : 306 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 451 ( 245 ~; 206 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 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 : 120 (; 120 !; 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_176,axiom,
holds(clear(b),s0),
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_173,axiom,
holds(on(c,d),s0),
file(unknown,unknown) ).
tff(f_161,axiom,
differ(a,c),
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_164,axiom,
differ(b,c),
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_168,axiom,
differ(c,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_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_116,axiom,
! [X,Y,State] :
( holds(clear(X),do(putdown(X,Y),State))
| ~ holds(holding(X),State)
| ~ holds(clear(Y),State) ),
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_167,axiom,
differ(c,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_165,axiom,
differ(b,d),
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_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(b,d),on(a,c)),State),
file(unknown,unknown) ).
tff(c_52,plain,
holds(clear(a),s0),
inference(cnfTransformation,[status(thm)],[f_175]) ).
tff(c_54,plain,
holds(clear(b),s0),
inference(cnfTransformation,[status(thm)],[f_176]) ).
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_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_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_32,plain,
differ(b,c),
inference(cnfTransformation,[status(thm)],[f_164]) ).
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_40,plain,
differ(c,table),
inference(cnfTransformation,[status(thm)],[f_168]) ).
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_16,plain,
! [Y_23,State_24,X_22] :
( ~ holds(clear(Y_23),State_24)
| ~ holds(holding(X_22),State_24)
| holds(clear(X_22),do(putdown(X_22,Y_23),State_24)) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
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_90,plain,
differ(c,a),
inference(resolution,[status(thm)],[c_26,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_38,plain,
differ(c,d),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_87,plain,
differ(d,c),
inference(resolution,[status(thm)],[c_38,c_64]) ).
tff(c_14,plain,
! [Y_20,State_21,X_19] :
( ~ holds(clear(Y_20),State_21)
| ~ holds(holding(X_19),State_21)
| holds(on(X_19,Y_20),do(putdown(X_19,Y_20),State_21)) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
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_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_18,plain,
! [W_25,State_29,Z_26,Y_28,X_27] :
( ~ holds(on(X_27,Y_28),State_29)
| holds(on(X_27,Y_28),do(putdown(Z_26,W_25),State_29)) ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_172,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_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(b,d),on(a,c)),State_37),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_133,plain,
! [State_43] :
( ~ holds(on(a,c),State_43)
| ~ holds(on(b,d),State_43) ),
inference(resolution,[status(thm)],[c_128,c_62]) ).
tff(c_199,plain,
! [State_79] :
( ~ holds(on(a,c),do(putdown(b,d),State_79))
| ~ holds(clear(d),State_79)
| ~ holds(holding(b),State_79) ),
inference(resolution,[status(thm)],[c_172,c_133]) ).
tff(c_206,plain,
! [State_83] :
( ~ holds(clear(d),State_83)
| ~ holds(holding(b),State_83)
| ~ holds(on(a,c),State_83) ),
inference(resolution,[status(thm)],[c_18,c_199]) ).
tff(c_224,plain,
! [Z_90,State_91] :
( ~ holds(clear(d),do(pickup(Z_90),State_91))
| ~ holds(holding(b),do(pickup(Z_90),State_91))
| ~ differ(a,Z_90)
| ~ holds(on(a,c),State_91) ),
inference(resolution,[status(thm)],[c_8,c_206]) ).
tff(c_228,plain,
! [State_5] :
( ~ holds(clear(d),do(pickup(b),State_5))
| ~ differ(a,b)
| ~ holds(on(a,c),State_5)
| ~ differ(b,table)
| ~ holds(clear(b),State_5)
| ~ holds(empty,State_5) ),
inference(resolution,[status(thm)],[c_4,c_224]) ).
tff(c_232,plain,
! [State_92] :
( ~ holds(clear(d),do(pickup(b),State_92))
| ~ holds(on(a,c),State_92)
| ~ holds(clear(b),State_92)
| ~ holds(empty,State_92) ),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_24,c_228]) ).
tff(c_240,plain,
! [State_15] :
( ~ holds(on(a,c),State_15)
| ~ holds(clear(b),State_15)
| ~ holds(empty,State_15)
| ~ differ(d,b)
| ~ holds(clear(d),State_15) ),
inference(resolution,[status(thm)],[c_10,c_232]) ).
tff(c_245,plain,
! [State_93] :
( ~ holds(on(a,c),State_93)
| ~ holds(clear(b),State_93)
| ~ holds(empty,State_93)
| ~ holds(clear(d),State_93) ),
inference(demodulation,[status(thm),theory(equality)],[c_89,c_240]) ).
tff(c_468,plain,
! [State_140] :
( ~ holds(clear(b),do(putdown(a,c),State_140))
| ~ holds(empty,do(putdown(a,c),State_140))
| ~ holds(clear(d),do(putdown(a,c),State_140))
| ~ holds(clear(c),State_140)
| ~ holds(holding(a),State_140) ),
inference(resolution,[status(thm)],[c_14,c_245]) ).
tff(c_472,plain,
! [State_33] :
( ~ holds(clear(b),do(putdown(a,c),State_33))
| ~ holds(empty,do(putdown(a,c),State_33))
| ~ holds(clear(c),State_33)
| ~ holds(holding(a),State_33)
| ~ differ(d,c)
| ~ holds(clear(d),State_33) ),
inference(resolution,[status(thm)],[c_20,c_468]) ).
tff(c_476,plain,
! [State_141] :
( ~ holds(clear(b),do(putdown(a,c),State_141))
| ~ holds(empty,do(putdown(a,c),State_141))
| ~ holds(clear(c),State_141)
| ~ holds(holding(a),State_141)
| ~ holds(clear(d),State_141) ),
inference(demodulation,[status(thm),theory(equality)],[c_87,c_472]) ).
tff(c_480,plain,
! [State_33] :
( ~ holds(empty,do(putdown(a,c),State_33))
| ~ holds(clear(c),State_33)
| ~ holds(holding(a),State_33)
| ~ holds(clear(d),State_33)
| ~ differ(b,c)
| ~ holds(clear(b),State_33) ),
inference(resolution,[status(thm)],[c_20,c_476]) ).
tff(c_484,plain,
! [State_142] :
( ~ holds(empty,do(putdown(a,c),State_142))
| ~ holds(clear(c),State_142)
| ~ holds(holding(a),State_142)
| ~ holds(clear(d),State_142)
| ~ holds(clear(b),State_142) ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_480]) ).
tff(c_490,plain,
! [State_143] :
( ~ holds(clear(d),State_143)
| ~ holds(clear(b),State_143)
| ~ holds(clear(c),State_143)
| ~ holds(holding(a),State_143) ),
inference(resolution,[status(thm)],[c_12,c_484]) ).
tff(c_494,plain,
! [State_5] :
( ~ holds(clear(d),do(pickup(a),State_5))
| ~ holds(clear(b),do(pickup(a),State_5))
| ~ holds(clear(c),do(pickup(a),State_5))
| ~ differ(a,table)
| ~ holds(clear(a),State_5)
| ~ holds(empty,State_5) ),
inference(resolution,[status(thm)],[c_4,c_490]) ).
tff(c_547,plain,
! [State_158] :
( ~ holds(clear(d),do(pickup(a),State_158))
| ~ holds(clear(b),do(pickup(a),State_158))
| ~ holds(clear(c),do(pickup(a),State_158))
| ~ holds(clear(a),State_158)
| ~ holds(empty,State_158) ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_494]) ).
tff(c_555,plain,
! [State_15] :
( ~ holds(clear(b),do(pickup(a),State_15))
| ~ holds(clear(c),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_547]) ).
tff(c_560,plain,
! [State_159] :
( ~ holds(clear(b),do(pickup(a),State_159))
| ~ holds(clear(c),do(pickup(a),State_159))
| ~ holds(clear(a),State_159)
| ~ holds(empty,State_159)
| ~ holds(clear(d),State_159) ),
inference(demodulation,[status(thm),theory(equality)],[c_91,c_555]) ).
tff(c_568,plain,
! [State_15] :
( ~ holds(clear(b),do(pickup(a),State_15))
| ~ holds(clear(a),State_15)
| ~ holds(empty,State_15)
| ~ holds(clear(d),State_15)
| ~ differ(c,a)
| ~ holds(clear(c),State_15) ),
inference(resolution,[status(thm)],[c_10,c_560]) ).
tff(c_573,plain,
! [State_160] :
( ~ holds(clear(b),do(pickup(a),State_160))
| ~ holds(clear(a),State_160)
| ~ holds(empty,State_160)
| ~ holds(clear(d),State_160)
| ~ holds(clear(c),State_160) ),
inference(demodulation,[status(thm),theory(equality)],[c_90,c_568]) ).
tff(c_581,plain,
! [State_15] :
( ~ holds(clear(a),State_15)
| ~ holds(empty,State_15)
| ~ holds(clear(d),State_15)
| ~ holds(clear(c),State_15)
| ~ differ(b,a)
| ~ holds(clear(b),State_15) ),
inference(resolution,[status(thm)],[c_10,c_573]) ).
tff(c_602,plain,
! [State_162] :
( ~ holds(clear(a),State_162)
| ~ holds(empty,State_162)
| ~ holds(clear(d),State_162)
| ~ holds(clear(c),State_162)
| ~ holds(clear(b),State_162) ),
inference(demodulation,[status(thm),theory(equality)],[c_85,c_581]) ).
tff(c_3587,plain,
! [X_845,Y_846,State_847] :
( ~ holds(clear(a),do(putdown(X_845,Y_846),State_847))
| ~ holds(empty,do(putdown(X_845,Y_846),State_847))
| ~ holds(clear(c),do(putdown(X_845,Y_846),State_847))
| ~ holds(clear(b),do(putdown(X_845,Y_846),State_847))
| ~ differ(d,Y_846)
| ~ holds(clear(d),State_847) ),
inference(resolution,[status(thm)],[c_20,c_602]) ).
tff(c_5037,plain,
! [Y_1165,State_1166] :
( ~ holds(clear(a),do(putdown(c,Y_1165),State_1166))
| ~ holds(empty,do(putdown(c,Y_1165),State_1166))
| ~ holds(clear(b),do(putdown(c,Y_1165),State_1166))
| ~ differ(d,Y_1165)
| ~ holds(clear(d),State_1166)
| ~ holds(clear(Y_1165),State_1166)
| ~ holds(holding(c),State_1166) ),
inference(resolution,[status(thm)],[c_16,c_3587]) ).
tff(c_5736,plain,
! [Y_1315,State_1316] :
( ~ holds(clear(a),do(putdown(c,Y_1315),State_1316))
| ~ holds(empty,do(putdown(c,Y_1315),State_1316))
| ~ differ(d,Y_1315)
| ~ holds(clear(d),State_1316)
| ~ holds(clear(Y_1315),State_1316)
| ~ holds(holding(c),State_1316)
| ~ differ(b,Y_1315)
| ~ holds(clear(b),State_1316) ),
inference(resolution,[status(thm)],[c_20,c_5037]) ).
tff(c_5742,plain,
! [Y_1317,State_1318] :
( ~ holds(empty,do(putdown(c,Y_1317),State_1318))
| ~ differ(d,Y_1317)
| ~ holds(clear(d),State_1318)
| ~ holds(clear(Y_1317),State_1318)
| ~ holds(holding(c),State_1318)
| ~ differ(b,Y_1317)
| ~ holds(clear(b),State_1318)
| ~ differ(a,Y_1317)
| ~ holds(clear(a),State_1318) ),
inference(resolution,[status(thm)],[c_20,c_5736]) ).
tff(c_5748,plain,
! [Y_1319,State_1320] :
( ~ differ(d,Y_1319)
| ~ holds(clear(d),State_1320)
| ~ differ(b,Y_1319)
| ~ holds(clear(b),State_1320)
| ~ differ(a,Y_1319)
| ~ holds(clear(a),State_1320)
| ~ holds(clear(Y_1319),State_1320)
| ~ holds(holding(c),State_1320) ),
inference(resolution,[status(thm)],[c_12,c_5742]) ).
tff(c_5758,plain,
! [State_36] :
( ~ 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(c),State_36) ),
inference(resolution,[status(thm)],[c_60,c_5748]) ).
tff(c_5788,plain,
! [State_1324] :
( ~ holds(clear(d),State_1324)
| ~ holds(clear(b),State_1324)
| ~ holds(clear(a),State_1324)
| ~ holds(holding(c),State_1324) ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_36,c_42,c_5758]) ).
tff(c_5792,plain,
! [State_5] :
( ~ holds(clear(d),do(pickup(c),State_5))
| ~ holds(clear(b),do(pickup(c),State_5))
| ~ holds(clear(a),do(pickup(c),State_5))
| ~ differ(c,table)
| ~ holds(clear(c),State_5)
| ~ holds(empty,State_5) ),
inference(resolution,[status(thm)],[c_4,c_5788]) ).
tff(c_5796,plain,
! [State_1325] :
( ~ holds(clear(d),do(pickup(c),State_1325))
| ~ holds(clear(b),do(pickup(c),State_1325))
| ~ holds(clear(a),do(pickup(c),State_1325))
| ~ holds(clear(c),State_1325)
| ~ holds(empty,State_1325) ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_5792]) ).
tff(c_5809,plain,
! [State_1326] :
( ~ holds(clear(b),do(pickup(c),State_1326))
| ~ holds(clear(a),do(pickup(c),State_1326))
| ~ holds(empty,State_1326)
| ~ holds(clear(c),State_1326)
| ~ holds(on(c,d),State_1326) ),
inference(resolution,[status(thm)],[c_6,c_5796]) ).
tff(c_5817,plain,
! [State_15] :
( ~ holds(clear(a),do(pickup(c),State_15))
| ~ holds(empty,State_15)
| ~ holds(clear(c),State_15)
| ~ holds(on(c,d),State_15)
| ~ differ(b,c)
| ~ holds(clear(b),State_15) ),
inference(resolution,[status(thm)],[c_10,c_5809]) ).
tff(c_5822,plain,
! [State_1327] :
( ~ holds(clear(a),do(pickup(c),State_1327))
| ~ holds(empty,State_1327)
| ~ holds(clear(c),State_1327)
| ~ holds(on(c,d),State_1327)
| ~ holds(clear(b),State_1327) ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_5817]) ).
tff(c_5830,plain,
! [State_15] :
( ~ holds(empty,State_15)
| ~ holds(clear(c),State_15)
| ~ holds(on(c,d),State_15)
| ~ holds(clear(b),State_15)
| ~ differ(a,c)
| ~ holds(clear(a),State_15) ),
inference(resolution,[status(thm)],[c_10,c_5822]) ).
tff(c_5835,plain,
! [State_1328] :
( ~ holds(empty,State_1328)
| ~ holds(clear(c),State_1328)
| ~ holds(on(c,d),State_1328)
| ~ holds(clear(b),State_1328)
| ~ holds(clear(a),State_1328) ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_5830]) ).
tff(c_5850,plain,
( ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ holds(clear(b),s0)
| ~ holds(clear(a),s0) ),
inference(resolution,[status(thm)],[c_48,c_5835]) ).
tff(c_5857,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_54,c_56,c_58,c_5850]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.15 % Problem : PLA008-1 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.16 % 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 : n003.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 18:23:23 EDT 2023
% 0.15/0.37 % CPUTime :
% 12.23/4.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.23/4.94
% 12.23/4.94 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.55/4.99
% 12.55/4.99 Inference rules
% 12.55/4.99 ----------------------
% 12.55/4.99 #Ref : 0
% 12.55/4.99 #Sup : 1055
% 12.55/4.99 #Fact : 0
% 12.55/4.99 #Define : 0
% 12.55/4.99 #Split : 4
% 12.55/4.99 #Chain : 0
% 12.55/4.99 #Close : 0
% 12.55/4.99
% 12.55/4.99 Ordering : KBO
% 12.55/4.99
% 12.55/4.99 Simplification rules
% 12.55/4.99 ----------------------
% 12.55/4.99 #Subsume : 223
% 12.55/4.99 #Demod : 200
% 12.55/4.99 #Tautology : 10
% 12.55/4.99 #SimpNegUnit : 0
% 12.55/4.99 #BackRed : 0
% 12.55/4.99
% 12.55/4.99 #Partial instantiations: 0
% 12.55/4.99 #Strategies tried : 1
% 12.55/4.99
% 12.55/4.99 Timing (in seconds)
% 12.55/4.99 ----------------------
% 12.55/4.99 Preprocessing : 0.50
% 12.55/4.99 Parsing : 0.29
% 12.55/4.99 CNF conversion : 0.03
% 12.55/4.99 Main loop : 3.28
% 12.55/4.99 Inferencing : 0.83
% 12.55/4.99 Reduction : 0.71
% 12.55/4.99 Demodulation : 0.56
% 12.55/4.99 BG Simplification : 0.04
% 12.55/4.99 Subsumption : 1.54
% 12.55/4.99 Abstraction : 0.05
% 12.55/4.99 MUC search : 0.00
% 12.55/4.99 Cooper : 0.00
% 12.55/4.99 Total : 3.85
% 12.55/4.99 Index Insertion : 0.00
% 12.55/4.99 Index Deletion : 0.00
% 12.55/4.99 Index Matching : 0.00
% 12.55/4.99 BG Taut test : 0.00
%------------------------------------------------------------------------------