TSTP Solution File: SYN653-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN653-1 : 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/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 11:11:31 EDT 2023
% Result : Unsatisfiable 11.30s 3.78s
% Output : CNFRefutation 11.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 40
% Syntax : Number of formulae : 60 ( 9 unt; 32 typ; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 26 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 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 : 128 (; 128 !; 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,
~ p12(f13(c22),f13(c23)),
file(unknown,unknown) ).
tff(f_153,axiom,
p21(f11(c24,c25,c22,c26,c27,c28),f11(c29,c30,c23,c31,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_178,axiom,
! [X5,X6,X3,X9,X12,X7,X11,X13,X8,X4,X14,X10] :
( p7(X7,X12)
| ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4)) ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X34,X35] :
( p12(f13(X34),f13(X35))
| ~ p7(X34,X35) ),
file(unknown,unknown) ).
tff(f_39,axiom,
! [X31] : p12(X31,X31),
file(unknown,unknown) ).
tff(f_138,axiom,
! [X32,X33,X31] :
( p12(X32,X33)
| ~ p12(X31,X32)
| ~ p12(X31,X33) ),
file(unknown,unknown) ).
tff(f_203,axiom,
! [X38,X36,X43,X40,X39,X42,X37,X41] :
( p12(f13(X36),f13(f17(X37,X38,X39,X40,X41,X36,X42,X43)))
| ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ),
file(unknown,unknown) ).
tff(c_20,plain,
~ p12(f13(c22),f13(c23)),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_54,plain,
p21(f11(c24,c25,c22,c26,c27,c28),f11(c29,c30,c23,c31,c32,c33)),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_2606,plain,
! [X41_1113,X38_1111,X39_1115,X42_1117,X36_1114,X37_1110,X43_1116,X40_1112] :
( ~ p21(f11(X38_1111,X39_1115,X36_1114,X42_1117,X43_1116,X40_1112),X41_1113)
| p3(X41_1113,f11(f19(X37_1110,X38_1111,X39_1115,X40_1112,X41_1113,X36_1114,X42_1117,X43_1116),f18(X37_1110,X38_1111,X39_1115,X40_1112,X41_1113,X36_1114,X42_1117,X43_1116),f17(X37_1110,X38_1111,X39_1115,X40_1112,X41_1113,X36_1114,X42_1117,X43_1116),f16(X37_1110,X38_1111,X39_1115,X40_1112,X41_1113,X36_1114,X42_1117,X43_1116),f15(X37_1110,X38_1111,X39_1115,X40_1112,X41_1113,X36_1114,X42_1117,X43_1116),f14(X37_1110,X38_1111,X39_1115,X40_1112,X41_1113,X36_1114,X42_1117,X43_1116))) ),
inference(cnfTransformation,[status(thm)],[f_444]) ).
tff(c_64,plain,
! [X11_109,X3_105,X7_108,X10_114,X8_111,X12_107,X13_110,X9_106,X6_104,X14_113,X5_103,X4_112] :
( ~ p3(f11(X5_103,X6_104,X7_108,X8_111,X9_106,X3_105),f11(X10_114,X11_109,X12_107,X13_110,X14_113,X4_112))
| p7(X7_108,X12_107) ),
inference(cnfTransformation,[status(thm)],[f_178]) ).
tff(c_2705,plain,
! [X3_105,X7_108,X38_1111,X8_111,X39_1115,X42_1117,X9_106,X36_1114,X6_104,X37_1110,X5_103,X43_1116,X40_1112] :
( p7(X7_108,f17(X37_1110,X38_1111,X39_1115,X40_1112,f11(X5_103,X6_104,X7_108,X8_111,X9_106,X3_105),X36_1114,X42_1117,X43_1116))
| ~ p21(f11(X38_1111,X39_1115,X36_1114,X42_1117,X43_1116,X40_1112),f11(X5_103,X6_104,X7_108,X8_111,X9_106,X3_105)) ),
inference(resolution,[status(thm)],[c_2606,c_64]) ).
tff(c_26,plain,
! [X34_15,X35_16] :
( ~ p7(X34_15,X35_16)
| p12(f13(X34_15),f13(X35_16)) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_18,plain,
! [X31_9] : p12(X31_9,X31_9),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_133,plain,
! [X31_340,X33_341,X32_342] :
( ~ p12(X31_340,X33_341)
| ~ p12(X31_340,X32_342)
| p12(X32_342,X33_341) ),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_140,plain,
! [X31_343,X32_344] :
( ~ p12(X31_343,X32_344)
| p12(X32_344,X31_343) ),
inference(resolution,[status(thm)],[c_18,c_133]) ).
tff(c_145,plain,
! [X35_16,X34_15] :
( p12(f13(X35_16),f13(X34_15))
| ~ p7(X34_15,X35_16) ),
inference(resolution,[status(thm)],[c_26,c_140]) ).
tff(c_1039,plain,
! [X39_731,X40_727,X43_733,X36_726,X37_732,X42_730,X41_728,X38_729] :
( ~ p21(f11(X38_729,X39_731,X36_726,X42_730,X43_733,X40_727),X41_728)
| p12(f13(X36_726),f13(f17(X37_732,X38_729,X39_731,X40_727,X41_728,X36_726,X42_730,X43_733))) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_139,plain,
! [X31_9,X32_342] :
( ~ p12(X31_9,X32_342)
| p12(X32_342,X31_9) ),
inference(resolution,[status(thm)],[c_18,c_133]) ).
tff(c_4060,plain,
! [X41_1514,X37_1519,X40_1515,X38_1516,X36_1520,X43_1517,X42_1518,X39_1513] :
( p12(f13(f17(X37_1519,X38_1516,X39_1513,X40_1515,X41_1514,X36_1520,X42_1518,X43_1517)),f13(X36_1520))
| ~ p21(f11(X38_1516,X39_1513,X36_1520,X42_1518,X43_1517,X40_1515),X41_1514) ),
inference(resolution,[status(thm)],[c_1039,c_139]) ).
tff(c_48,plain,
! [X31_47,X33_46,X32_45] :
( ~ p12(X31_47,X33_46)
| ~ p12(X31_47,X32_45)
| p12(X32_45,X33_46) ),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_8212,plain,
! [X37_2279,X32_2272,X41_2277,X40_2271,X42_2278,X43_2273,X39_2276,X36_2274,X38_2275] :
( ~ p12(f13(f17(X37_2279,X38_2275,X39_2276,X40_2271,X41_2277,X36_2274,X42_2278,X43_2273)),X32_2272)
| p12(X32_2272,f13(X36_2274))
| ~ p21(f11(X38_2275,X39_2276,X36_2274,X42_2278,X43_2273,X40_2271),X41_2277) ),
inference(resolution,[status(thm)],[c_4060,c_48]) ).
tff(c_9309,plain,
! [X38_2540,X42_2539,X40_2546,X36_2543,X43_2541,X37_2545,X41_2547,X39_2542,X34_2544] :
( p12(f13(X34_2544),f13(X36_2543))
| ~ p21(f11(X38_2540,X39_2542,X36_2543,X42_2539,X43_2541,X40_2546),X41_2547)
| ~ p7(X34_2544,f17(X37_2545,X38_2540,X39_2542,X40_2546,X41_2547,X36_2543,X42_2539,X43_2541)) ),
inference(resolution,[status(thm)],[c_145,c_8212]) ).
tff(c_9354,plain,
! [X5_2562,X8_2569,X39_2564,X38_2567,X36_2565,X3_2572,X7_2561,X40_2566,X42_2563,X43_2571,X6_2568,X9_2570] :
( p12(f13(X7_2561),f13(X36_2565))
| ~ p21(f11(X38_2567,X39_2564,X36_2565,X42_2563,X43_2571,X40_2566),f11(X5_2562,X6_2568,X7_2561,X8_2569,X9_2570,X3_2572)) ),
inference(resolution,[status(thm)],[c_2705,c_9309]) ).
tff(c_9362,plain,
p12(f13(c23),f13(c22)),
inference(resolution,[status(thm)],[c_54,c_9354]) ).
tff(c_9374,plain,
p12(f13(c22),f13(c23)),
inference(resolution,[status(thm)],[c_9362,c_139]) ).
tff(c_9385,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20,c_9374]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN653-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14 % 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
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 17:24:53 EDT 2023
% 0.15/0.35 % CPUTime :
% 11.30/3.78 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.30/3.78
% 11.30/3.78 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.45/3.82
% 11.45/3.82 Inference rules
% 11.45/3.82 ----------------------
% 11.45/3.82 #Ref : 0
% 11.45/3.82 #Sup : 2438
% 11.45/3.82 #Fact : 0
% 11.45/3.82 #Define : 0
% 11.45/3.82 #Split : 0
% 11.45/3.82 #Chain : 0
% 11.45/3.82 #Close : 0
% 11.45/3.82
% 11.45/3.82 Ordering : KBO
% 11.45/3.82
% 11.45/3.82 Simplification rules
% 11.45/3.82 ----------------------
% 11.45/3.82 #Subsume : 857
% 11.45/3.82 #Demod : 471
% 11.45/3.82 #Tautology : 247
% 11.45/3.82 #SimpNegUnit : 50
% 11.45/3.82 #BackRed : 0
% 11.45/3.82
% 11.45/3.82 #Partial instantiations: 0
% 11.45/3.82 #Strategies tried : 1
% 11.45/3.82
% 11.45/3.82 Timing (in seconds)
% 11.45/3.82 ----------------------
% 11.45/3.82 Preprocessing : 0.64
% 11.45/3.82 Parsing : 0.35
% 11.45/3.82 CNF conversion : 0.06
% 11.45/3.82 Main loop : 2.10
% 11.45/3.82 Inferencing : 0.65
% 11.45/3.82 Reduction : 0.52
% 11.45/3.82 Demodulation : 0.36
% 11.45/3.82 BG Simplification : 0.06
% 11.45/3.82 Subsumption : 0.75
% 11.45/3.82 Abstraction : 0.06
% 11.45/3.82 MUC search : 0.00
% 11.45/3.82 Cooper : 0.00
% 11.45/3.82 Total : 2.80
% 11.45/3.82 Index Insertion : 0.00
% 11.45/3.82 Index Deletion : 0.00
% 11.45/3.82 Index Matching : 0.00
% 11.45/3.82 BG Taut test : 0.00
%------------------------------------------------------------------------------