TSTP Solution File: PUZ037-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : PUZ037-1 : TPTP v8.1.2. Released v2.3.0.
% 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 : n004.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 10:54:06 EDT 2023
% Result : Unsatisfiable 7.10s 2.75s
% Output : CNFRefutation 7.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 15 ( 6 unt; 7 typ; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 15 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 54 ( 1 >; 53 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-54 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 108 (; 108 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ state > #nlpp > y > w > r > o > g > b
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(r,type,
r: $i ).
tff(state,type,
state: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(w,type,
w: $i ).
tff(b,type,
b: $i ).
tff(y,type,
y: $i ).
tff(g,type,
g: $i ).
tff(o,type,
o: $i ).
tff(f_28,axiom,
~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
file(unknown,unknown) ).
tff(f_29,axiom,
state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,g,g,g,o,o,o,y,y,y,r,r,r,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
file(unknown,unknown) ).
tff(f_84,axiom,
! [E2,X5,C8,B3,A5,X6,A2,B2,D7,E3,D8,X3,E1,C1,X9,Y3,A4,C2,Y1,C3,A8,A6,X7,X1,B4,E4,D2,D3,D1,D6,D5,A9,A3,Y2,D4,A7,B9,A1,E5,C6,E6,B6,C4,X2,B8,C7,B5,B1,X8,X4,C9,B7,D9,C5] :
( ~ state(A1,A2,A3,A4,A5,A6,A7,A8,A9,B1,B2,B3,B4,B5,B6,B7,B8,B9,C1,C2,C3,X1,X2,X3,X4,X5,X6,X7,X8,X9,Y1,Y2,Y3,C4,C5,C6,C7,C8,C9,D1,D2,D3,D4,D5,D6,D7,D8,D9,E1,E2,E3,E4,E5,E6)
| state(A1,A2,A3,A4,A5,A6,A7,A8,A9,B1,B2,B3,B4,B5,B6,B7,B8,B9,C1,C2,C3,Y1,Y2,Y3,X1,X2,X3,X4,X5,X6,X7,X8,X9,C4,C5,C6,C7,C8,C9,D1,D2,D3,D4,D5,D6,D7,D8,D9,E1,E2,E3,E4,E5,E6) ),
file(unknown,unknown) ).
tff(c_2,plain,
~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_4,plain,
state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,g,g,g,o,o,o,y,y,y,r,r,r,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_1662,plain,
! [C4_1650,A4_1670,E2_1657,A5_1664,B8_1642,D5_1640,C8_1626,E5_1656,D8_1662,D6_1671,X3_1655,B6_1660,X4_1672,C2_1637,A6_1663,C1_1658,X8_1648,B9_1649,X6_1645,X7_1633,Y3_1659,C9_1627,D9_1668,D3_1653,E3_1625,C5_1638,D1_1667,A1_1673,B4_1621,B7_1629,X2_1652,C3_1674,A3_1624,E4_1666,A8_1661,X1_1651,B3_1632,D4_1631,Y2_1630,X5_1654,E6_1628,D7_1622,B5_1634,C6_1646,E1_1635,A2_1636,D2_1665,X9_1669,C7_1639,B2_1641,A7_1644,B1_1647,A9_1643,Y1_1623] :
( state(A1_1673,A2_1636,A3_1624,A4_1670,A5_1664,A6_1663,A7_1644,A8_1661,A9_1643,B1_1647,B2_1641,B3_1632,B4_1621,B5_1634,B6_1660,B7_1629,B8_1642,B9_1649,C1_1658,C2_1637,C3_1674,Y1_1623,Y2_1630,Y3_1659,X1_1651,X2_1652,X3_1655,X4_1672,X5_1654,X6_1645,X7_1633,X8_1648,X9_1669,C4_1650,C5_1638,C6_1646,C7_1639,C8_1626,C9_1627,D1_1667,D2_1665,D3_1653,D4_1631,D5_1640,D6_1671,D7_1622,D8_1662,D9_1668,E1_1635,E2_1657,E3_1625,E4_1666,E5_1656,E6_1628)
| ~ state(A1_1673,A2_1636,A3_1624,A4_1670,A5_1664,A6_1663,A7_1644,A8_1661,A9_1643,B1_1647,B2_1641,B3_1632,B4_1621,B5_1634,B6_1660,B7_1629,B8_1642,B9_1649,C1_1658,C2_1637,C3_1674,X1_1651,X2_1652,X3_1655,X4_1672,X5_1654,X6_1645,X7_1633,X8_1648,X9_1669,Y1_1623,Y2_1630,Y3_1659,C4_1650,C5_1638,C6_1646,C7_1639,C8_1626,C9_1627,D1_1667,D2_1665,D3_1653,D4_1631,D5_1640,D6_1671,D7_1622,D8_1662,D9_1668,E1_1635,E2_1657,E3_1625,E4_1666,E5_1656,E6_1628) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_1750,plain,
state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
inference(resolution,[status(thm)],[c_4,c_1662]) ).
tff(c_1804,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_1750]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ037-1 : TPTP v8.1.2. Released v2.3.0.
% 0.11/0.13 % 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
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 17:30:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 7.10/2.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.26/2.75
% 7.26/2.75 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.26/2.78
% 7.26/2.78 Inference rules
% 7.26/2.78 ----------------------
% 7.26/2.78 #Ref : 0
% 7.26/2.78 #Sup : 572
% 7.26/2.78 #Fact : 0
% 7.26/2.78 #Define : 0
% 7.26/2.78 #Split : 0
% 7.26/2.78 #Chain : 0
% 7.26/2.78 #Close : 0
% 7.26/2.78
% 7.26/2.78 Ordering : KBO
% 7.26/2.78
% 7.26/2.78 Simplification rules
% 7.26/2.78 ----------------------
% 7.26/2.78 #Subsume : 0
% 7.26/2.78 #Demod : 32
% 7.26/2.78 #Tautology : 32
% 7.26/2.78 #SimpNegUnit : 1
% 7.26/2.78 #BackRed : 0
% 7.26/2.78
% 7.26/2.78 #Partial instantiations: 0
% 7.26/2.78 #Strategies tried : 1
% 7.26/2.78
% 7.26/2.78 Timing (in seconds)
% 7.26/2.78 ----------------------
% 7.26/2.79 Preprocessing : 0.62
% 7.26/2.79 Parsing : 0.38
% 7.26/2.79 CNF conversion : 0.04
% 7.26/2.79 Main loop : 1.12
% 7.26/2.79 Inferencing : 0.45
% 7.26/2.79 Reduction : 0.26
% 7.26/2.79 Demodulation : 0.20
% 7.26/2.79 BG Simplification : 0.04
% 7.26/2.79 Subsumption : 0.32
% 7.26/2.79 Abstraction : 0.03
% 7.26/2.79 MUC search : 0.00
% 7.26/2.79 Cooper : 0.00
% 7.26/2.79 Total : 1.79
% 7.26/2.79 Index Insertion : 0.00
% 7.26/2.79 Index Deletion : 0.00
% 7.26/2.79 Index Matching : 0.00
% 7.26/2.79 BG Taut test : 0.00
%------------------------------------------------------------------------------