TSTP Solution File: PUZ037-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : PUZ037-2 : 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/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 : n008.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 12.13s 4.69s
% Output : CNFRefutation 12.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 21 ( 8 unt; 7 typ; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 25 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 : 324 (; 324 !; 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(y,b,y,y,b,y,y,b,y,r,r,r,b,g,b,o,o,o,w,y,w,w,y,w,r,r,r,b,g,b,o,o,o,r,r,r,b,g,b,o,o,o,w,y,w,g,w,g,g,w,g,g,w,g),
file(unknown,unknown) ).
tff(f_39,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,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)
| 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) ),
file(unknown,unknown) ).
tff(f_64,axiom,
! [W3,X5,C8,B3,A5,X6,A2,B2,D7,X3,C1,X9,Y3,W1,A4,C2,Y1,C3,A8,A6,X7,X1,B4,D2,D3,W8,D1,D6,D5,A9,A3,W4,Y2,D4,W7,A7,B9,A1,C6,W6,B6,C4,X2,B8,C7,B5,B1,X8,X4,C9,W2,B7,W5,C5] :
( ~ state(Y1,A1,A2,Y2,A3,A4,Y3,A5,A6,W7,W8,W1,X1,A7,A8,A9,B1,B2,B3,B4,X9,W6,B5,W2,X2,B6,B7,B8,B9,C1,C2,C3,X8,W5,W4,W3,X3,C4,C5,C6,C7,C8,C9,D1,X7,X4,D2,D3,X5,D4,D5,X6,D6,D7)
| state(X1,A1,A2,X2,A3,A4,X3,A5,A6,W1,W2,W3,X4,A7,A8,A9,B1,B2,B3,B4,Y3,W8,B5,W4,X5,B6,B7,B8,B9,C1,C2,C3,Y2,W7,W6,W5,X6,C4,C5,C6,C7,C8,C9,D1,Y1,X7,D2,D3,X8,D4,D5,X9,D6,D7) ),
file(unknown,unknown) ).
tff(f_74,axiom,
! [W3,X5,C8,B3,A5,X6,A2,B2,D7,X3,C1,X9,Y3,W1,A4,C2,Y1,C3,A8,A6,X7,X1,B4,D2,D3,W8,D1,D6,D5,A9,A3,W4,Y2,D4,W7,A7,B9,A1,C6,W6,B6,C4,X2,B8,C7,B5,B1,X8,X4,C9,W2,B7,W5,C5] :
( ~ state(A1,A2,Y1,A3,A4,Y2,A5,A6,Y3,A7,A8,A9,B1,B2,X1,W1,W8,W7,X9,B3,B4,B5,B6,B7,B8,B9,X2,W2,C1,W6,X8,C2,C3,C4,C5,C6,C7,C8,X3,W3,W4,W5,X7,C9,D1,D2,D3,X4,D4,D5,X5,D6,D7,X6)
| state(A1,A2,X1,A3,A4,X2,A5,A6,X3,A7,A8,A9,B1,B2,X4,W3,W2,W1,Y3,B3,B4,B5,B6,B7,B8,B9,X5,W4,C1,W8,Y2,C2,C3,C4,C5,C6,C7,C8,X6,W5,W6,W7,Y1,C9,D1,D2,D3,X7,D4,D5,X8,D6,D7,X9) ),
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(y,b,y,y,b,y,y,b,y,r,r,r,b,g,b,o,o,o,w,y,w,w,y,w,r,r,r,b,g,b,o,o,o,r,r,r,b,g,b,o,o,o,w,y,w,g,w,g,g,w,g,g,w,g),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_434,plain,
! [C7_1307,D7_1331,X6_1326,A2_1308,A4_1304,A8_1339,A9_1347,X4_1320,C1_1317,D9_1348,E4_1306,E1_1318,E5_1350,C2_1312,X3_1338,E3_1349,D3_1329,B4_1322,A5_1327,B3_1319,D1_1334,Y2_1302,C8_1310,D5_1305,D8_1342,X2_1332,B2_1298,X8_1340,E6_1344,C4_1313,C6_1314,B1_1323,D6_1335,B8_1303,X9_1316,D2_1301,A3_1341,B6_1345,C3_1309,Y1_1346,B5_1343,Y3_1299,A6_1333,C9_1321,A1_1330,X1_1297,A7_1315,E2_1336,D4_1300,X7_1324,B9_1311,C5_1337,X5_1325,B7_1328] :
( state(A1_1330,A2_1308,A3_1341,A4_1304,A5_1327,A6_1333,A7_1315,A8_1339,A9_1347,B1_1323,B2_1298,B3_1319,B4_1322,B5_1343,B6_1345,B7_1328,B8_1303,B9_1311,C1_1317,C2_1312,C3_1309,X1_1297,X2_1332,X3_1338,X4_1320,X5_1325,X6_1326,X7_1324,X8_1340,X9_1316,Y1_1346,Y2_1302,Y3_1299,C4_1313,C5_1337,C6_1314,C7_1307,C8_1310,C9_1321,D1_1334,D2_1301,D3_1329,D4_1300,D5_1305,D6_1335,D7_1331,D8_1342,D9_1348,E1_1318,E2_1336,E3_1349,E4_1306,E5_1350,E6_1344)
| ~ state(A1_1330,A2_1308,A3_1341,A4_1304,A5_1327,A6_1333,A7_1315,A8_1339,A9_1347,B1_1323,B2_1298,B3_1319,B4_1322,B5_1343,B6_1345,B7_1328,B8_1303,B9_1311,C1_1317,C2_1312,C3_1309,Y1_1346,Y2_1302,Y3_1299,X1_1297,X2_1332,X3_1338,X4_1320,X5_1325,X6_1326,X7_1324,X8_1340,X9_1316,C4_1313,C5_1337,C6_1314,C7_1307,C8_1310,C9_1321,D1_1334,D2_1301,D3_1329,D4_1300,D5_1305,D6_1335,D7_1331,D8_1342,D9_1348,E1_1318,E2_1336,E3_1349,E4_1306,E5_1350,E6_1344) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_497,plain,
state(y,b,y,y,b,y,y,b,y,r,r,r,b,g,b,o,o,o,w,y,w,r,r,r,b,g,b,o,o,o,w,y,w,r,r,r,b,g,b,o,o,o,w,y,w,g,w,g,g,w,g,g,w,g),
inference(resolution,[status(thm)],[c_4,c_434]) ).
tff(c_2669,plain,
! [D6_1826,X4_1791,D1_1814,B4_1786,D2_1813,X6_1815,C2_1788,D5_1804,W5_1810,W7_1807,B1_1806,A7_1824,A2_1800,C1_1785,W6_1830,B7_1822,B2_1795,W3_1797,B6_1818,C8_1834,C5_1812,D7_1787,A4_1809,A6_1828,B9_1784,A5_1803,X5_1798,B3_1794,A1_1825,W8_1819,C7_1823,X3_1808,X8_1821,Y1_1792,A9_1827,B5_1811,A3_1831,W2_1833,X9_1816,C9_1805,C3_1790,A8_1799,X2_1802,Y3_1783,B8_1820,C4_1829,W1_1835,X1_1789,C6_1793,Y2_1832,X7_1801,W4_1836,D3_1796,D4_1817] :
( state(X1_1789,A1_1825,A2_1800,X2_1802,A3_1831,A4_1809,X3_1808,A5_1803,A6_1828,W1_1835,W2_1833,W3_1797,X4_1791,A7_1824,A8_1799,A9_1827,B1_1806,B2_1795,B3_1794,B4_1786,Y3_1783,W8_1819,B5_1811,W4_1836,X5_1798,B6_1818,B7_1822,B8_1820,B9_1784,C1_1785,C2_1788,C3_1790,Y2_1832,W7_1807,W6_1830,W5_1810,X6_1815,C4_1829,C5_1812,C6_1793,C7_1823,C8_1834,C9_1805,D1_1814,Y1_1792,X7_1801,D2_1813,D3_1796,X8_1821,D4_1817,D5_1804,X9_1816,D6_1826,D7_1787)
| ~ state(Y1_1792,A1_1825,A2_1800,Y2_1832,A3_1831,A4_1809,Y3_1783,A5_1803,A6_1828,W7_1807,W8_1819,W1_1835,X1_1789,A7_1824,A8_1799,A9_1827,B1_1806,B2_1795,B3_1794,B4_1786,X9_1816,W6_1830,B5_1811,W2_1833,X2_1802,B6_1818,B7_1822,B8_1820,B9_1784,C1_1785,C2_1788,C3_1790,X8_1821,W5_1810,W4_1836,W3_1797,X3_1808,C4_1829,C5_1812,C6_1793,C7_1823,C8_1834,C9_1805,D1_1814,X7_1801,X4_1791,D2_1813,D3_1796,X5_1798,D4_1817,D5_1804,X6_1815,D6_1826,D7_1787) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_2822,plain,
state(b,b,y,b,b,y,b,b,y,r,r,r,g,g,b,o,o,o,w,y,y,r,r,r,g,g,b,o,o,o,w,y,y,r,r,r,g,g,b,o,o,o,w,y,y,w,w,g,w,w,g,w,w,g),
inference(resolution,[status(thm)],[c_497,c_2669]) ).
tff(c_22,plain,
! [C3_450,B9_469,Y1_449,B2_440,X6_438,W7_467,D7_441,D2_456,C9_482,D6_460,A7_468,B3_436,X9_444,D4_466,B6_473,W1_446,X3_442,B4_455,X2_475,C2_448,C6_471,D3_457,X1_454,W5_485,B5_478,C7_477,D1_459,A8_451,W6_472,A9_462,W2_483,B1_479,A3_463,W8_458,D5_461,C5_486,X7_453,C8_435,A5_437,C4_474,A2_439,Y2_465,Y3_445,C1_443,A6_452,B8_476,A4_447,W3_433,X4_481,W4_464,A1_470,X8_480,X5_434,B7_484] :
( state(A1_470,A2_439,X1_454,A3_463,A4_447,X2_475,A5_437,A6_452,X3_442,A7_468,A8_451,A9_462,B1_479,B2_440,X4_481,W3_433,W2_483,W1_446,Y3_445,B3_436,B4_455,B5_478,B6_473,B7_484,B8_476,B9_469,X5_434,W4_464,C1_443,W8_458,Y2_465,C2_448,C3_450,C4_474,C5_486,C6_471,C7_477,C8_435,X6_438,W5_485,W6_472,W7_467,Y1_449,C9_482,D1_459,D2_456,D3_457,X7_453,D4_466,D5_461,X8_480,D6_460,D7_441,X9_444)
| ~ state(A1_470,A2_439,Y1_449,A3_463,A4_447,Y2_465,A5_437,A6_452,Y3_445,A7_468,A8_451,A9_462,B1_479,B2_440,X1_454,W1_446,W8_458,W7_467,X9_444,B3_436,B4_455,B5_478,B6_473,B7_484,B8_476,B9_469,X2_475,W2_483,C1_443,W6_472,X8_480,C2_448,C3_450,C4_474,C5_486,C6_471,C7_477,C8_435,X3_442,W3_433,W4_464,W5_485,X7_453,C9_482,D1_459,D2_456,D3_457,X4_481,D4_466,D5_461,X5_434,D6_460,D7_441,X6_438) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_5119,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_2822,c_22]) ).
tff(c_5142,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_5119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ037-2 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13 % 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 : n008.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 17:39:34 EDT 2023
% 0.13/0.35 % CPUTime :
% 12.13/4.69 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.13/4.70
% 12.13/4.70 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.41/4.75
% 12.41/4.75 Inference rules
% 12.41/4.75 ----------------------
% 12.41/4.75 #Ref : 0
% 12.41/4.75 #Sup : 1656
% 12.41/4.75 #Fact : 0
% 12.41/4.75 #Define : 0
% 12.41/4.75 #Split : 0
% 12.41/4.75 #Chain : 0
% 12.41/4.75 #Close : 0
% 12.41/4.75
% 12.41/4.75 Ordering : KBO
% 12.41/4.75
% 12.41/4.75 Simplification rules
% 12.41/4.75 ----------------------
% 12.41/4.75 #Subsume : 0
% 12.41/4.75 #Demod : 114
% 12.41/4.75 #Tautology : 114
% 12.41/4.75 #SimpNegUnit : 1
% 12.41/4.75 #BackRed : 0
% 12.41/4.75
% 12.41/4.75 #Partial instantiations: 0
% 12.41/4.75 #Strategies tried : 1
% 12.41/4.75
% 12.41/4.75 Timing (in seconds)
% 12.41/4.75 ----------------------
% 12.41/4.75 Preprocessing : 0.65
% 12.41/4.75 Parsing : 0.40
% 12.41/4.76 CNF conversion : 0.04
% 12.41/4.76 Main loop : 2.96
% 12.41/4.76 Inferencing : 1.10
% 12.41/4.76 Reduction : 0.70
% 12.41/4.76 Demodulation : 0.58
% 12.41/4.76 BG Simplification : 0.06
% 12.41/4.76 Subsumption : 1.01
% 12.41/4.76 Abstraction : 0.04
% 12.41/4.76 MUC search : 0.00
% 12.41/4.76 Cooper : 0.00
% 12.41/4.76 Total : 3.69
% 12.41/4.76 Index Insertion : 0.00
% 12.41/4.76 Index Deletion : 0.00
% 12.41/4.76 Index Matching : 0.00
% 12.41/4.76 BG Taut test : 0.00
%------------------------------------------------------------------------------