TSTP Solution File: SYN706-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN706-1 : 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 : n001.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 11:11:40 EDT 2023
% Result : Unsatisfiable 17.27s 7.41s
% Output : CNFRefutation 17.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 77
% Syntax : Number of formulae : 106 ( 19 unt; 61 typ; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 129 ( 66 ~; 63 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 94 ( 47 >; 47 *; 0 +; 0 <<)
% Number of predicates : 31 ( 30 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 14 con; 0-2 aty)
% Number of variables : 103 (; 103 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p7 > p6 > p48 > p47 > p46 > p45 > p43 > p41 > p4 > p39 > p37 > p36 > p33 > p30 > p3 > p29 > p27 > p26 > p24 > p22 > p21 > p2 > p19 > p18 > p16 > p15 > p13 > p12 > p10 > f8 > f5 > f44 > f42 > f40 > f38 > f35 > f34 > f32 > f31 > f28 > f25 > f23 > f20 > f17 > f14 > f11 > #nlpp > c62 > c61 > c60 > c59 > c58 > c57 > c56 > c55 > c54 > c53 > c52 > c51 > c50 > c49
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c61,type,
c61: $i ).
tff(f11,type,
f11: ( $i * $i ) > $i ).
tff(f5,type,
f5: ( $i * $i ) > $i ).
tff(p15,type,
p15: ( $i * $i ) > $o ).
tff(c57,type,
c57: $i ).
tff(p4,type,
p4: ( $i * $i ) > $o ).
tff(f32,type,
f32: ( $i * $i ) > $i ).
tff(p43,type,
p43: ( $i * $i ) > $o ).
tff(p46,type,
p46: ( $i * $i ) > $o ).
tff(c55,type,
c55: $i ).
tff(p22,type,
p22: ( $i * $i ) > $o ).
tff(c58,type,
c58: $i ).
tff(p47,type,
p47: ( $i * $i ) > $o ).
tff(p16,type,
p16: ( $i * $i ) > $o ).
tff(p13,type,
p13: ( $i * $i ) > $o ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(p48,type,
p48: ( $i * $i ) > $o ).
tff(c52,type,
c52: $i ).
tff(f14,type,
f14: ( $i * $i ) > $i ).
tff(f44,type,
f44: ( $i * $i ) > $i ).
tff(f38,type,
f38: ( $i * $i ) > $i ).
tff(p21,type,
p21: ( $i * $i ) > $o ).
tff(p29,type,
p29: ( $i * $i ) > $o ).
tff(f17,type,
f17: ( $i * $i ) > $i ).
tff(c53,type,
c53: $i ).
tff(p33,type,
p33: ( $i * $i ) > $o ).
tff(p27,type,
p27: ( $i * $i ) > $o ).
tff(f35,type,
f35: ( $i * $i ) > $i ).
tff(p45,type,
p45: ( $i * $i ) > $o ).
tff(f28,type,
f28: ( $i * $i ) > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(c54,type,
c54: $i ).
tff(f42,type,
f42: ( $i * $i ) > $i ).
tff(f31,type,
f31: ( $i * $i ) > $i ).
tff(p37,type,
p37: ( $i * $i ) > $o ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(p39,type,
p39: ( $i * $i ) > $o ).
tff(p30,type,
p30: ( $i * $i ) > $o ).
tff(p19,type,
p19: ( $i * $i ) > $o ).
tff(p24,type,
p24: ( $i * $i ) > $o ).
tff(c50,type,
c50: $i ).
tff(f23,type,
f23: ( $i * $i ) > $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(p41,type,
p41: ( $i * $i ) > $o ).
tff(f40,type,
f40: ( $i * $i ) > $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(p36,type,
p36: ( $i * $i ) > $o ).
tff(c51,type,
c51: $i ).
tff(p26,type,
p26: ( $i * $i ) > $o ).
tff(c56,type,
c56: $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(c60,type,
c60: $i ).
tff(c49,type,
c49: $i ).
tff(f34,type,
f34: ( $i * $i ) > $i ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(p9,type,
p9: ( $i * $i ) > $o ).
tff(p18,type,
p18: ( $i * $i ) > $o ).
tff(f20,type,
f20: ( $i * $i ) > $i ).
tff(c62,type,
c62: $i ).
tff(c59,type,
c59: $i ).
tff(f25,type,
f25: ( $i * $i ) > $i ).
tff(f_43,axiom,
! [X88] : p36(X88,X88),
file(unknown,unknown) ).
tff(f_31,axiom,
! [X143] : p47(X143,X143),
file(unknown,unknown) ).
tff(f_61,axiom,
! [X41] : p2(X41,X41),
file(unknown,unknown) ).
tff(f_47,axiom,
! [X78] : p3(X78,X78),
file(unknown,unknown) ).
tff(f_74,axiom,
p45(f20(c52,c50),c58),
file(unknown,unknown) ).
tff(f_363,axiom,
! [X114,X115,X116,X117] :
( p4(f5(X114,X115),f5(X116,X117))
| ~ p2(X114,X116)
| ~ p3(X115,X117) ),
file(unknown,unknown) ).
tff(f_37,axiom,
! [X105] : p4(X105,X105),
file(unknown,unknown) ).
tff(f_142,axiom,
! [X106,X107,X105] :
( p4(X106,X107)
| ~ p4(X105,X106)
| ~ p4(X105,X107) ),
file(unknown,unknown) ).
tff(f_464,axiom,
! [X137,X142,X136] :
( p46(f23(c53,f35(X137,X142)),f5(c49,X136))
| ~ p45(f20(c52,X136),X137) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X47] : p22(X47,X47),
file(unknown,unknown) ).
tff(f_319,axiom,
! [X138,X139,X141,X140] :
( p46(X138,X139)
| ~ p4(X141,X139)
| ~ p46(X140,X141)
| ~ p22(X140,X138) ),
file(unknown,unknown) ).
tff(f_321,axiom,
! [X166,X167] : p7(f8(f11(c54,f14(f17(c55,X166),f35(X167,X166))),X167),X167),
file(unknown,unknown) ).
tff(f_485,axiom,
! [X150,X151] :
( p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X150)),X151)),c60)
| ~ p45(f20(c52,c50),X151)
| ~ p46(f23(c53,X150),f5(c49,c50)) ),
file(unknown,unknown) ).
tff(f_379,axiom,
! [X98,X99,X100,X101] :
( p37(f38(X98,X99),f38(X100,X101))
| ~ p36(X98,X100)
| ~ p7(X99,X101) ),
file(unknown,unknown) ).
tff(f_308,axiom,
! [X146,X147,X149,X148] :
( p48(X146,X147)
| ~ p47(X149,X147)
| ~ p48(X148,X149)
| ~ p37(X148,X146) ),
file(unknown,unknown) ).
tff(f_78,axiom,
~ p48(f38(f40(c59,c50),c58),c60),
file(unknown,unknown) ).
tff(c_22,plain,
! [X88_11] : p36(X88_11,X88_11),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_10,plain,
! [X143_5] : p47(X143_5,X143_5),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_40,plain,
! [X41_20] : p2(X41_20,X41_20),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_26,plain,
! [X78_13] : p3(X78_13,X78_13),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_54,plain,
p45(f20(c52,c50),c58),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_494,plain,
! [X115_403,X117_404,X114_405,X116_406] :
( ~ p3(X115_403,X117_404)
| ~ p2(X114_405,X116_406)
| p4(f5(X114_405,X115_403),f5(X116_406,X117_404)) ),
inference(cnfTransformation,[status(thm)],[f_363]) ).
tff(c_16,plain,
! [X105_8] : p4(X105_8,X105_8),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_305,plain,
! [X105_292,X107_293,X106_294] :
( ~ p4(X105_292,X107_293)
| ~ p4(X105_292,X106_294)
| p4(X106_294,X107_293) ),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_308,plain,
! [X105_8,X106_294] :
( ~ p4(X105_8,X106_294)
| p4(X106_294,X105_8) ),
inference(resolution,[status(thm)],[c_16,c_305]) ).
tff(c_499,plain,
! [X116_406,X117_404,X114_405,X115_403] :
( p4(f5(X116_406,X117_404),f5(X114_405,X115_403))
| ~ p3(X115_403,X117_404)
| ~ p2(X114_405,X116_406) ),
inference(resolution,[status(thm)],[c_494,c_308]) ).
tff(c_578,plain,
! [X136_447,X137_448,X142_449] :
( ~ p45(f20(c52,X136_447),X137_448)
| p46(f23(c53,f35(X137_448,X142_449)),f5(c49,X136_447)) ),
inference(cnfTransformation,[status(thm)],[f_464]) ).
tff(c_36,plain,
! [X47_18] : p22(X47_18,X47_18),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_426,plain,
! [X140_361,X138_362,X141_363,X139_364] :
( ~ p22(X140_361,X138_362)
| ~ p46(X140_361,X141_363)
| ~ p4(X141_363,X139_364)
| p46(X138_362,X139_364) ),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_429,plain,
! [X47_18,X141_363,X139_364] :
( ~ p46(X47_18,X141_363)
| ~ p4(X141_363,X139_364)
| p46(X47_18,X139_364) ),
inference(resolution,[status(thm)],[c_36,c_426]) ).
tff(c_1336,plain,
! [X136_745,X139_746,X137_747,X142_748] :
( ~ p4(f5(c49,X136_745),X139_746)
| p46(f23(c53,f35(X137_747,X142_748)),X139_746)
| ~ p45(f20(c52,X136_745),X137_747) ),
inference(resolution,[status(thm)],[c_578,c_429]) ).
tff(c_2806,plain,
! [X142_1336,X115_1340,X117_1337,X114_1338,X137_1339] :
( p46(f23(c53,f35(X137_1339,X142_1336)),f5(X114_1338,X115_1340))
| ~ p45(f20(c52,X117_1337),X137_1339)
| ~ p3(X115_1340,X117_1337)
| ~ p2(X114_1338,c49) ),
inference(resolution,[status(thm)],[c_499,c_1336]) ).
tff(c_2837,plain,
! [X142_1336,X114_1338,X115_1340] :
( p46(f23(c53,f35(c58,X142_1336)),f5(X114_1338,X115_1340))
| ~ p3(X115_1340,c50)
| ~ p2(X114_1338,c49) ),
inference(resolution,[status(thm)],[c_54,c_2806]) ).
tff(c_118,plain,
! [X166_117,X167_118] : p7(f8(f11(c54,f14(f17(c55,X166_117),f35(X167_118,X166_117))),X167_118),X167_118),
inference(cnfTransformation,[status(thm)],[f_321]) ).
tff(c_162,plain,
! [X150_198,X151_199] :
( ~ p46(f23(c53,X150_198),f5(c49,c50))
| ~ p45(f20(c52,c50),X151_199)
| p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X150_198)),X151_199)),c60) ),
inference(cnfTransformation,[status(thm)],[f_485]) ).
tff(c_435,plain,
! [X99_372,X101_373,X98_374,X100_375] :
( ~ p7(X99_372,X101_373)
| ~ p36(X98_374,X100_375)
| p37(f38(X98_374,X99_372),f38(X100_375,X101_373)) ),
inference(cnfTransformation,[status(thm)],[f_379]) ).
tff(c_114,plain,
! [X148_112,X146_109,X149_111,X147_110] :
( ~ p37(X148_112,X146_109)
| ~ p48(X148_112,X149_111)
| ~ p47(X149_111,X147_110)
| p48(X146_109,X147_110) ),
inference(cnfTransformation,[status(thm)],[f_308]) ).
tff(c_1080,plain,
! [X147_658,X101_656,X149_661,X98_657,X99_659,X100_660] :
( ~ p48(f38(X98_657,X99_659),X149_661)
| ~ p47(X149_661,X147_658)
| p48(f38(X100_660,X101_656),X147_658)
| ~ p7(X99_659,X101_656)
| ~ p36(X98_657,X100_660) ),
inference(resolution,[status(thm)],[c_435,c_114]) ).
tff(c_2344,plain,
! [X150_1145,X147_1148,X101_1146,X151_1147,X100_1144] :
( ~ p47(c60,X147_1148)
| p48(f38(X100_1144,X101_1146),X147_1148)
| ~ p7(f8(f11(c54,f14(f17(c55,c61),X150_1145)),X151_1147),X101_1146)
| ~ p36(f40(c59,c50),X100_1144)
| ~ p46(f23(c53,X150_1145),f5(c49,c50))
| ~ p45(f20(c52,c50),X151_1147) ),
inference(resolution,[status(thm)],[c_162,c_1080]) ).
tff(c_24404,plain,
! [X147_3283,X100_3284,X167_3285] :
( ~ p47(c60,X147_3283)
| p48(f38(X100_3284,X167_3285),X147_3283)
| ~ p36(f40(c59,c50),X100_3284)
| ~ p46(f23(c53,f35(X167_3285,c61)),f5(c49,c50))
| ~ p45(f20(c52,c50),X167_3285) ),
inference(resolution,[status(thm)],[c_118,c_2344]) ).
tff(c_24437,plain,
! [X147_3283,X100_3284] :
( ~ p47(c60,X147_3283)
| p48(f38(X100_3284,c58),X147_3283)
| ~ p36(f40(c59,c50),X100_3284)
| ~ p45(f20(c52,c50),c58)
| ~ p3(c50,c50)
| ~ p2(c49,c49) ),
inference(resolution,[status(thm)],[c_2837,c_24404]) ).
tff(c_24487,plain,
! [X147_3286,X100_3287] :
( ~ p47(c60,X147_3286)
| p48(f38(X100_3287,c58),X147_3286)
| ~ p36(f40(c59,c50),X100_3287) ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_26,c_54,c_24437]) ).
tff(c_58,plain,
~ p48(f38(f40(c59,c50),c58),c60),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_24496,plain,
( ~ p47(c60,c60)
| ~ p36(f40(c59,c50),f40(c59,c50)) ),
inference(resolution,[status(thm)],[c_24487,c_58]) ).
tff(c_24503,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_10,c_24496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN706-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % 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 : n001.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 18:02:10 EDT 2023
% 0.20/0.35 % CPUTime :
% 17.27/7.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.27/7.42
% 17.27/7.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 17.27/7.46
% 17.27/7.46 Inference rules
% 17.27/7.46 ----------------------
% 17.27/7.46 #Ref : 0
% 17.27/7.46 #Sup : 6439
% 17.27/7.46 #Fact : 0
% 17.27/7.46 #Define : 0
% 17.27/7.46 #Split : 0
% 17.27/7.46 #Chain : 0
% 17.27/7.46 #Close : 0
% 17.27/7.46
% 17.27/7.46 Ordering : KBO
% 17.27/7.46
% 17.27/7.46 Simplification rules
% 17.27/7.46 ----------------------
% 17.27/7.46 #Subsume : 956
% 17.27/7.46 #Demod : 1122
% 17.27/7.46 #Tautology : 308
% 17.27/7.46 #SimpNegUnit : 0
% 17.27/7.46 #BackRed : 0
% 17.27/7.46
% 17.27/7.46 #Partial instantiations: 0
% 17.27/7.46 #Strategies tried : 1
% 17.27/7.46
% 17.27/7.46 Timing (in seconds)
% 17.27/7.46 ----------------------
% 17.27/7.46 Preprocessing : 0.63
% 17.27/7.46 Parsing : 0.35
% 17.27/7.46 CNF conversion : 0.05
% 17.27/7.46 Main loop : 5.77
% 17.27/7.46 Inferencing : 1.23
% 17.27/7.46 Reduction : 1.36
% 17.27/7.46 Demodulation : 0.91
% 17.27/7.46 BG Simplification : 0.08
% 17.27/7.46 Subsumption : 2.81
% 17.27/7.46 Abstraction : 0.10
% 17.27/7.46 MUC search : 0.00
% 17.27/7.46 Cooper : 0.00
% 17.27/7.46 Total : 6.45
% 17.27/7.46 Index Insertion : 0.00
% 17.27/7.46 Index Deletion : 0.00
% 17.27/7.46 Index Matching : 0.00
% 17.27/7.46 BG Taut test : 0.00
%------------------------------------------------------------------------------