TSTP Solution File: SYN654-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN654-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n007.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 11:11:32 EDT 2023
% Result : Unsatisfiable 12.11s 4.09s
% Output : CNFRefutation 12.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 39
% Syntax : Number of formulae : 56 ( 9 unt; 32 typ; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 84 ( 20 >; 64 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 12 con; 0-8 aty)
% Number of variables : 124 (; 124 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p8 > p7 > p6 > p5 > p3 > p21 > p2 > p12 > p10 > f20 > f19 > f18 > f17 > f16 > f15 > f14 > f11 > #nlpp > f4 > f13 > c33 > c32 > c31 > c30 > c29 > c28 > c27 > c26 > c25 > c24 > c23 > c22
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f18,type,
f18: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(f14,type,
f14: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(f16,type,
f16: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(f11,type,
f11: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(f20,type,
f20: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c26,type,
c26: $i ).
tff(p21,type,
p21: ( $i * $i ) > $o ).
tff(f19,type,
f19: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c23,type,
c23: $i ).
tff(f13,type,
f13: $i > $i ).
tff(p8,type,
p8: ( $i * $i ) > $o ).
tff(c32,type,
c32: $i ).
tff(c22,type,
c22: $i ).
tff(c27,type,
c27: $i ).
tff(p5,type,
p5: ( $i * $i ) > $o ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(f17,type,
f17: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c25,type,
c25: $i ).
tff(c29,type,
c29: $i ).
tff(c30,type,
c30: $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f4,type,
f4: $i > $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(f15,type,
f15: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c31,type,
c31: $i ).
tff(c28,type,
c28: $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(p9,type,
p9: ( $i * $i ) > $o ).
tff(c33,type,
c33: $i ).
tff(c24,type,
c24: $i ).
tff(f_41,axiom,
~ p8(c22,c23),
file(unknown,unknown) ).
tff(f_153,axiom,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)),
file(unknown,unknown) ).
tff(f_444,axiom,
! [X38,X36,X43,X40,X39,X42,X37,X41] :
( p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43)))
| ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ),
file(unknown,unknown) ).
tff(f_173,axiom,
! [X5,X6,X3,X9,X12,X7,X11,X13,X8,X4,X14,X10] :
( p8(X8,X13)
| ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4)) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X158] : p8(X158,X158),
file(unknown,unknown) ).
tff(f_90,axiom,
! [X159,X160,X158] :
( p8(X159,X160)
| ~ p8(X158,X159)
| ~ p8(X158,X160) ),
file(unknown,unknown) ).
tff(f_198,axiom,
! [X38,X36,X43,X40,X39,X42,X37,X41] :
( p8(X42,f16(X37,X38,X39,X40,X41,X36,X42,X43))
| ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ),
file(unknown,unknown) ).
tff(c_20,plain,
~ p8(c22,c23),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_54,plain,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_2679,plain,
! [X42_1126,X38_1120,X43_1125,X36_1123,X37_1119,X40_1121,X39_1124,X41_1122] :
( ~ p21(f11(X38_1120,X39_1124,X36_1123,X42_1126,X43_1125,X40_1121),X41_1122)
| p3(X41_1122,f11(f19(X37_1119,X38_1120,X39_1124,X40_1121,X41_1122,X36_1123,X42_1126,X43_1125),f18(X37_1119,X38_1120,X39_1124,X40_1121,X41_1122,X36_1123,X42_1126,X43_1125),f17(X37_1119,X38_1120,X39_1124,X40_1121,X41_1122,X36_1123,X42_1126,X43_1125),f16(X37_1119,X38_1120,X39_1124,X40_1121,X41_1122,X36_1123,X42_1126,X43_1125),f15(X37_1119,X38_1120,X39_1124,X40_1121,X41_1122,X36_1123,X42_1126,X43_1125),f14(X37_1119,X38_1120,X39_1124,X40_1121,X41_1122,X36_1123,X42_1126,X43_1125))) ),
inference(cnfTransformation,[status(thm)],[f_444]) ).
tff(c_62,plain,
! [X14_101,X8_99,X3_93,X4_100,X9_94,X12_95,X13_98,X6_92,X5_91,X10_102,X7_96,X11_97] :
( ~ p3(f11(X5_91,X6_92,X7_96,X8_99,X9_94,X3_93),f11(X10_102,X11_97,X12_95,X13_98,X14_101,X4_100))
| p8(X8_99,X13_98) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_5273,plain,
! [X42_1741,X39_1740,X8_1734,X43_1743,X38_1736,X7_1735,X3_1733,X9_1745,X6_1738,X5_1744,X37_1742,X40_1739,X36_1737] :
( p8(X8_1734,f16(X37_1742,X38_1736,X39_1740,X40_1739,f11(X5_1744,X6_1738,X7_1735,X8_1734,X9_1745,X3_1733),X36_1737,X42_1741,X43_1743))
| ~ p21(f11(X38_1736,X39_1740,X36_1737,X42_1741,X43_1743,X40_1739),f11(X5_1744,X6_1738,X7_1735,X8_1734,X9_1745,X3_1733)) ),
inference(resolution,[status(thm)],[c_2679,c_62]) ).
tff(c_6,plain,
! [X158_3] : p8(X158_3,X158_3),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_169,plain,
! [X158_357,X160_358,X159_359] :
( ~ p8(X158_357,X160_358)
| ~ p8(X158_357,X159_359)
| p8(X159_359,X160_358) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_172,plain,
! [X158_3,X159_359] :
( ~ p8(X158_3,X159_359)
| p8(X159_359,X158_3) ),
inference(resolution,[status(thm)],[c_6,c_169]) ).
tff(c_12779,plain,
! [X43_3013,X5_3007,X36_3006,X3_3011,X9_3017,X7_3012,X42_3008,X39_3009,X8_3010,X38_3015,X40_3018,X6_3016,X37_3014] :
( p8(f16(X37_3014,X38_3015,X39_3009,X40_3018,f11(X5_3007,X6_3016,X7_3012,X8_3010,X9_3017,X3_3011),X36_3006,X42_3008,X43_3013),X8_3010)
| ~ p21(f11(X38_3015,X39_3009,X36_3006,X42_3008,X43_3013,X40_3018),f11(X5_3007,X6_3016,X7_3012,X8_3010,X9_3017,X3_3011)) ),
inference(resolution,[status(thm)],[c_5273,c_172]) ).
tff(c_902,plain,
! [X36_683,X37_684,X42_687,X43_686,X39_689,X40_688,X41_685,X38_690] :
( ~ p21(f11(X38_690,X39_689,X36_683,X42_687,X43_686,X40_688),X41_685)
| p8(X42_687,f16(X37_684,X38_690,X39_689,X40_688,X41_685,X36_683,X42_687,X43_686)) ),
inference(cnfTransformation,[status(thm)],[f_198]) ).
tff(c_2907,plain,
! [X36_1178,X39_1174,X42_1172,X37_1179,X41_1177,X38_1175,X40_1173,X43_1176] :
( p8(f16(X37_1179,X38_1175,X39_1174,X40_1173,X41_1177,X36_1178,X42_1172,X43_1176),X42_1172)
| ~ p21(f11(X38_1175,X39_1174,X36_1178,X42_1172,X43_1176,X40_1173),X41_1177) ),
inference(resolution,[status(thm)],[c_902,c_172]) ).
tff(c_36,plain,
! [X158_29,X160_28,X159_27] :
( ~ p8(X158_29,X160_28)
| ~ p8(X158_29,X159_27)
| p8(X159_27,X160_28) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_2913,plain,
! [X36_1178,X39_1174,X42_1172,X37_1179,X41_1177,X159_27,X38_1175,X40_1173,X43_1176] :
( ~ p8(f16(X37_1179,X38_1175,X39_1174,X40_1173,X41_1177,X36_1178,X42_1172,X43_1176),X159_27)
| p8(X159_27,X42_1172)
| ~ p21(f11(X38_1175,X39_1174,X36_1178,X42_1172,X43_1176,X40_1173),X41_1177) ),
inference(resolution,[status(thm)],[c_2907,c_36]) ).
tff(c_12796,plain,
! [X36_3020,X8_3023,X42_3026,X9_3021,X43_3028,X38_3027,X40_3019,X7_3030,X39_3022,X6_3024,X3_3029,X5_3025] :
( p8(X8_3023,X42_3026)
| ~ p21(f11(X38_3027,X39_3022,X36_3020,X42_3026,X43_3028,X40_3019),f11(X5_3025,X6_3024,X7_3030,X8_3023,X9_3021,X3_3029)) ),
inference(resolution,[status(thm)],[c_12779,c_2913]) ).
tff(c_12804,plain,
p8(c23,c22),
inference(resolution,[status(thm)],[c_54,c_12796]) ).
tff(c_12808,plain,
p8(c22,c23),
inference(resolution,[status(thm)],[c_12804,c_172]) ).
tff(c_12815,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20,c_12808]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN654-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % 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
% 0.14/0.36 % Computer : n007.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 17:21:39 EDT 2023
% 0.14/0.36 % CPUTime :
% 12.11/4.09 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.11/4.10
% 12.11/4.10 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.11/4.13
% 12.11/4.13 Inference rules
% 12.11/4.13 ----------------------
% 12.11/4.13 #Ref : 0
% 12.11/4.13 #Sup : 3362
% 12.11/4.13 #Fact : 0
% 12.11/4.13 #Define : 0
% 12.11/4.13 #Split : 0
% 12.11/4.13 #Chain : 0
% 12.11/4.13 #Close : 0
% 12.11/4.13
% 12.11/4.13 Ordering : KBO
% 12.11/4.13
% 12.11/4.13 Simplification rules
% 12.11/4.13 ----------------------
% 12.11/4.13 #Subsume : 1273
% 12.11/4.13 #Demod : 623
% 12.11/4.13 #Tautology : 298
% 12.11/4.13 #SimpNegUnit : 52
% 12.11/4.13 #BackRed : 0
% 12.11/4.13
% 12.11/4.13 #Partial instantiations: 0
% 12.11/4.13 #Strategies tried : 1
% 12.11/4.13
% 12.11/4.13 Timing (in seconds)
% 12.11/4.13 ----------------------
% 12.11/4.13 Preprocessing : 0.59
% 12.11/4.13 Parsing : 0.34
% 12.11/4.13 CNF conversion : 0.04
% 12.11/4.13 Main loop : 2.46
% 12.11/4.13 Inferencing : 0.72
% 12.11/4.13 Reduction : 0.57
% 12.11/4.13 Demodulation : 0.40
% 12.11/4.13 BG Simplification : 0.06
% 12.11/4.13 Subsumption : 0.96
% 12.11/4.13 Abstraction : 0.06
% 12.11/4.13 MUC search : 0.00
% 12.11/4.13 Cooper : 0.00
% 12.11/4.13 Total : 3.11
% 12.11/4.13 Index Insertion : 0.00
% 12.11/4.13 Index Deletion : 0.00
% 12.11/4.13 Index Matching : 0.00
% 12.11/4.13 BG Taut test : 0.00
%------------------------------------------------------------------------------