TSTP Solution File: SYN701-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN701-1 : 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 : n031.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 11:11:39 EDT 2023
% Result : Unsatisfiable 71.89s 57.64s
% Output : CNFRefutation 71.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 56
% Syntax : Number of formulae : 82 ( 15 unt; 47 typ; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 68 ( 36 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 53 ( 32 >; 21 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 15 con; 0-2 aty)
% Number of variables : 52 (; 52 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p26 > p7 > p6 > p33 > p32 > p31 > p3 > p27 > p21 > p2 > p17 > p14 > p12 > p10 > p30 > p29 > p28 > p25 > f23 > f22 > f19 > f15 > f13 > f11 > #nlpp > f9 > f8 > f5 > f4 > f24 > f20 > f18 > f16 > c48 > c47 > c46 > c45 > c44 > c43 > c42 > c41 > c40 > c39 > c38 > c37 > c36 > c35 > c34
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p32,type,
p32: ( $i * $i ) > $o ).
tff(f11,type,
f11: ( $i * $i ) > $i ).
tff(p26,type,
p26: ( $i * $i * $i ) > $o ).
tff(c47,type,
c47: $i ).
tff(f18,type,
f18: $i > $i ).
tff(f22,type,
f22: ( $i * $i ) > $i ).
tff(c45,type,
c45: $i ).
tff(f19,type,
f19: ( $i * $i ) > $i ).
tff(c37,type,
c37: $i ).
tff(f13,type,
f13: ( $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c40,type,
c40: $i ).
tff(c34,type,
c34: $i ).
tff(p21,type,
p21: ( $i * $i ) > $o ).
tff(c48,type,
c48: $i ).
tff(f20,type,
f20: $i > $i ).
tff(c42,type,
c42: $i ).
tff(p31,type,
p31: ( $i * $i ) > $o ).
tff(p17,type,
p17: ( $i * $i ) > $o ).
tff(p33,type,
p33: ( $i * $i ) > $o ).
tff(f24,type,
f24: $i > $i ).
tff(c41,type,
c41: $i ).
tff(f16,type,
f16: $i > $i ).
tff(c39,type,
c39: $i ).
tff(c44,type,
c44: $i ).
tff(p27,type,
p27: ( $i * $i ) > $o ).
tff(p30,type,
p30: $i > $o ).
tff(f5,type,
f5: $i > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(c38,type,
c38: $i ).
tff(c46,type,
c46: $i ).
tff(c36,type,
c36: $i ).
tff(p25,type,
p25: $i > $o ).
tff(f9,type,
f9: $i > $i ).
tff(p14,type,
p14: ( $i * $i ) > $o ).
tff(c43,type,
c43: $i ).
tff(f23,type,
f23: ( $i * $i ) > $i ).
tff(f8,type,
f8: $i > $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f4,type,
f4: $i > $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(c35,type,
c35: $i ).
tff(f15,type,
f15: ( $i * $i ) > $i ).
tff(p29,type,
p29: $i > $o ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(p28,type,
p28: $i > $o ).
tff(f_29,axiom,
! [X5] : p10(X5,X5),
file(unknown,unknown) ).
tff(f_46,axiom,
p2(c44,c46),
file(unknown,unknown) ).
tff(f_39,axiom,
! [X43] : p2(X43,X43),
file(unknown,unknown) ).
tff(f_175,axiom,
! [X44,X45,X43] :
( p2(X44,X45)
| ~ p2(X43,X44)
| ~ p2(X43,X45) ),
file(unknown,unknown) ).
tff(f_102,axiom,
! [X91,X92] :
( p3(f4(X91),f4(X92))
| ~ p2(X91,X92) ),
file(unknown,unknown) ).
tff(f_159,axiom,
! [X89,X90,X88] :
( p3(X89,X90)
| ~ p3(X88,X89)
| ~ p3(X88,X90) ),
file(unknown,unknown) ).
tff(f_304,axiom,
! [X46,X47,X48,X49] :
( p2(f11(X46,X47),f11(X48,X49))
| ~ p10(X47,X49)
| ~ p3(X46,X48) ),
file(unknown,unknown) ).
tff(f_263,axiom,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file(unknown,unknown) ).
tff(f_265,axiom,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file(unknown,unknown) ).
tff(c_14,plain,
! [X5_1] : p10(X5_1,X5_1),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_32,plain,
p2(c44,c46),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_24,plain,
! [X43_6] : p2(X43_6,X43_6),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_335,plain,
! [X43_213,X45_214,X44_215] :
( ~ p2(X43_213,X45_214)
| ~ p2(X43_213,X44_215)
| p2(X44_215,X45_214) ),
inference(cnfTransformation,[status(thm)],[f_175]) ).
tff(c_377,plain,
! [X43_217,X44_218] :
( ~ p2(X43_217,X44_218)
| p2(X44_218,X43_217) ),
inference(resolution,[status(thm)],[c_24,c_335]) ).
tff(c_394,plain,
p2(c46,c44),
inference(resolution,[status(thm)],[c_32,c_377]) ).
tff(c_62,plain,
! [X91_23,X92_24] :
( ~ p2(X91_23,X92_24)
| p3(f4(X91_23),f4(X92_24)) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_248,plain,
! [X88_184,X90_185,X89_186] :
( ~ p3(X88_184,X90_185)
| ~ p3(X88_184,X89_186)
| p3(X89_186,X90_185) ),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_1999,plain,
! [X91_476,X89_477,X92_478] :
( ~ p3(f4(X91_476),X89_477)
| p3(X89_477,f4(X92_478))
| ~ p2(X91_476,X92_478) ),
inference(resolution,[status(thm)],[c_62,c_248]) ).
tff(c_2025,plain,
! [X92_483,X92_484,X91_485] :
( p3(f4(X92_483),f4(X92_484))
| ~ p2(X91_485,X92_484)
| ~ p2(X91_485,X92_483) ),
inference(resolution,[status(thm)],[c_62,c_1999]) ).
tff(c_2100,plain,
! [X92_487] :
( p3(f4(X92_487),f4(c46))
| ~ p2(c44,X92_487) ),
inference(resolution,[status(thm)],[c_32,c_2025]) ).
tff(c_253,plain,
! [X91_23,X89_186,X92_24] :
( ~ p3(f4(X91_23),X89_186)
| p3(X89_186,f4(X92_24))
| ~ p2(X91_23,X92_24) ),
inference(resolution,[status(thm)],[c_62,c_248]) ).
tff(c_5117,plain,
! [X92_667,X92_668] :
( p3(f4(c46),f4(X92_667))
| ~ p2(X92_668,X92_667)
| ~ p2(c44,X92_668) ),
inference(resolution,[status(thm)],[c_2100,c_253]) ).
tff(c_5207,plain,
( p3(f4(c46),f4(c44))
| ~ p2(c44,c46) ),
inference(resolution,[status(thm)],[c_394,c_5117]) ).
tff(c_5266,plain,
p3(f4(c46),f4(c44)),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_5207]) ).
tff(c_981,plain,
! [X46_316,X48_317,X47_318,X49_319] :
( ~ p3(X46_316,X48_317)
| ~ p10(X47_318,X49_319)
| p2(f11(X46_316,X47_318),f11(X48_317,X49_319)) ),
inference(cnfTransformation,[status(thm)],[f_304]) ).
tff(c_353,plain,
! [X43_6,X44_215] :
( ~ p2(X43_6,X44_215)
| p2(X44_215,X43_6) ),
inference(resolution,[status(thm)],[c_24,c_335]) ).
tff(c_1004,plain,
! [X48_317,X49_319,X46_316,X47_318] :
( p2(f11(X48_317,X49_319),f11(X46_316,X47_318))
| ~ p3(X46_316,X48_317)
| ~ p10(X47_318,X49_319) ),
inference(resolution,[status(thm)],[c_981,c_353]) ).
tff(c_110,plain,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_865,plain,
p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(resolution,[status(thm)],[c_110,c_353]) ).
tff(c_84,plain,
! [X43_52,X45_51,X44_50] :
( ~ p2(X43_52,X45_51)
| ~ p2(X43_52,X44_50)
| p2(X44_50,X45_51) ),
inference(cnfTransformation,[status(thm)],[f_175]) ).
tff(c_177112,plain,
! [X44_2261] :
( ~ p2(f11(f4(c44),c43),X44_2261)
| p2(X44_2261,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(resolution,[status(thm)],[c_865,c_84]) ).
tff(c_112,plain,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(cnfTransformation,[status(thm)],[f_265]) ).
tff(c_178021,plain,
~ p2(f11(f4(c44),c43),f11(f4(c46),c43)),
inference(resolution,[status(thm)],[c_177112,c_112]) ).
tff(c_178237,plain,
( ~ p3(f4(c46),f4(c44))
| ~ p10(c43,c43) ),
inference(resolution,[status(thm)],[c_1004,c_178021]) ).
tff(c_178247,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_5266,c_178237]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SYN701-1 : TPTP v8.1.2. Released v2.5.0.
% 0.15/0.15 % 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
% 0.15/0.36 % Computer : n031.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 17:36:00 EDT 2023
% 0.23/0.36 % CPUTime :
% 71.89/57.64 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 71.89/57.65
% 71.89/57.65 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 71.89/57.68
% 71.89/57.68 Inference rules
% 71.89/57.68 ----------------------
% 71.89/57.68 #Ref : 0
% 71.89/57.68 #Sup : 57107
% 71.89/57.68 #Fact : 0
% 71.89/57.68 #Define : 0
% 71.89/57.68 #Split : 105
% 71.89/57.68 #Chain : 0
% 71.89/57.68 #Close : 0
% 71.89/57.68
% 71.89/57.68 Ordering : KBO
% 71.89/57.68
% 71.89/57.68 Simplification rules
% 71.89/57.68 ----------------------
% 71.89/57.68 #Subsume : 4500
% 71.89/57.68 #Demod : 1183
% 71.89/57.68 #Tautology : 326
% 71.89/57.68 #SimpNegUnit : 0
% 71.89/57.68 #BackRed : 0
% 71.89/57.68
% 71.89/57.68 #Partial instantiations: 0
% 71.89/57.68 #Strategies tried : 1
% 71.89/57.68
% 71.89/57.68 Timing (in seconds)
% 71.89/57.68 ----------------------
% 71.89/57.68 Preprocessing : 0.59
% 71.89/57.68 Parsing : 0.33
% 71.89/57.68 CNF conversion : 0.04
% 71.89/57.68 Main loop : 56.05
% 71.89/57.68 Inferencing : 3.69
% 71.89/57.68 Reduction : 9.75
% 71.89/57.68 Demodulation : 5.49
% 71.89/57.68 BG Simplification : 0.30
% 71.89/57.68 Subsumption : 39.38
% 71.89/57.68 Abstraction : 0.43
% 71.89/57.68 MUC search : 0.00
% 71.89/57.68 Cooper : 0.00
% 71.89/57.68 Total : 56.69
% 71.89/57.68 Index Insertion : 0.00
% 71.89/57.68 Index Deletion : 0.00
% 71.89/57.68 Index Matching : 0.00
% 71.89/57.68 BG Taut test : 0.00
%------------------------------------------------------------------------------