TSTP Solution File: SYN686-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN686-1 : 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 : n005.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 11:11:37 EDT 2023
% Result : Unsatisfiable 17.98s 7.95s
% Output : CNFRefutation 17.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 61
% Syntax : Number of formulae : 115 ( 37 unt; 44 typ; 0 def)
% Number of atoms : 133 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 131 ( 69 ~; 62 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 60 ( 30 >; 30 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 14 con; 0-2 aty)
% Number of variables : 92 (; 92 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p8 > p6 > p4 > p31 > p30 > p3 > p28 > p26 > p24 > p22 > p20 > p2 > p18 > p16 > p14 > p13 > p11 > f7 > f5 > f29 > f27 > f25 > f23 > f21 > f19 > f17 > f15 > f12 > f10 > #nlpp > c45 > c44 > c43 > c42 > c41 > c40 > c39 > c38 > c37 > c36 > c35 > c34 > c33 > c32
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f5,type,
f5: ( $i * $i ) > $i ).
tff(p4,type,
p4: ( $i * $i ) > $o ).
tff(c45,type,
c45: $i ).
tff(f19,type,
f19: ( $i * $i ) > $i ).
tff(p22,type,
p22: ( $i * $i ) > $o ).
tff(f12,type,
f12: ( $i * $i ) > $i ).
tff(c37,type,
c37: $i ).
tff(p16,type,
p16: ( $i * $i ) > $o ).
tff(p13,type,
p13: ( $i * $i ) > $o ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c40,type,
c40: $i ).
tff(c34,type,
c34: $i ).
tff(p20,type,
p20: ( $i * $i ) > $o ).
tff(f17,type,
f17: ( $i * $i ) > $i ).
tff(c42,type,
c42: $i ).
tff(p11,type,
p11: ( $i * $i ) > $o ).
tff(p31,type,
p31: ( $i * $i ) > $o ).
tff(p8,type,
p8: ( $i * $i ) > $o ).
tff(c32,type,
c32: $i ).
tff(f7,type,
f7: ( $i * $i ) > $i ).
tff(c41,type,
c41: $i ).
tff(c39,type,
c39: $i ).
tff(c44,type,
c44: $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(c38,type,
c38: $i ).
tff(c36,type,
c36: $i ).
tff(p30,type,
p30: ( $i * $i ) > $o ).
tff(p14,type,
p14: ( $i * $i ) > $o ).
tff(p24,type,
p24: ( $i * $i ) > $o ).
tff(c43,type,
c43: $i ).
tff(f23,type,
f23: ( $i * $i ) > $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(f10,type,
f10: ( $i * $i ) > $i ).
tff(f27,type,
f27: ( $i * $i ) > $i ).
tff(c35,type,
c35: $i ).
tff(f15,type,
f15: ( $i * $i ) > $i ).
tff(p28,type,
p28: ( $i * $i ) > $o ).
tff(f29,type,
f29: ( $i * $i ) > $i ).
tff(p26,type,
p26: ( $i * $i ) > $o ).
tff(f21,type,
f21: ( $i * $i ) > $i ).
tff(p9,type,
p9: ( $i * $i ) > $o ).
tff(c33,type,
c33: $i ).
tff(p18,type,
p18: ( $i * $i ) > $o ).
tff(f25,type,
f25: ( $i * $i ) > $i ).
tff(f_23,axiom,
! [X0] : p11(X0,X0),
file(unknown,unknown) ).
tff(f_54,axiom,
p3(c36,f7(c33,c34)),
file(unknown,unknown) ).
tff(f_33,axiom,
! [X57] : p3(X57,X57),
file(unknown,unknown) ).
tff(f_108,axiom,
! [X58,X59,X57] :
( p3(X58,X59)
| ~ p3(X57,X58)
| ~ p3(X57,X59) ),
file(unknown,unknown) ).
tff(f_57,axiom,
p4(f5(c32,f7(c33,c34)),c35),
file(unknown,unknown) ).
tff(f_31,axiom,
! [X81] : p4(X81,X81),
file(unknown,unknown) ).
tff(f_100,axiom,
! [X82,X83,X81] :
( p4(X82,X83)
| ~ p4(X81,X82)
| ~ p4(X81,X83) ),
file(unknown,unknown) ).
tff(f_56,axiom,
p4(f5(c32,c36),c37),
file(unknown,unknown) ).
tff(f_45,axiom,
! [X27] : p2(X27,X27),
file(unknown,unknown) ).
tff(f_290,axiom,
! [X84,X85,X86,X87] :
( p4(f5(X84,X85),f5(X86,X87))
| ~ p2(X84,X86)
| ~ p3(X85,X87) ),
file(unknown,unknown) ).
tff(f_298,axiom,
! [X94,X95,X96,X97] :
( p8(f12(X94,X95),f12(X96,X97))
| ~ p11(X94,X96)
| ~ p3(X95,X97) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X91] : p8(X91,X91),
file(unknown,unknown) ).
tff(f_84,axiom,
! [X92,X93,X91] :
( p8(X92,X93)
| ~ p8(X91,X92)
| ~ p8(X91,X93) ),
file(unknown,unknown) ).
tff(f_218,axiom,
! [X105,X106,X107,X108] :
( p9(f10(X105,X106),f10(X107,X108))
| ~ p4(X106,X108)
| ~ p8(X105,X107) ),
file(unknown,unknown) ).
tff(f_58,axiom,
p30(f10(f12(c39,c36),c37),c41),
file(unknown,unknown) ).
tff(f_199,axiom,
! [X68,X69,X71,X70] :
( p30(X68,X69)
| ~ p4(X71,X69)
| ~ p9(X70,X68)
| ~ p30(X70,X71) ),
file(unknown,unknown) ).
tff(f_60,axiom,
~ p30(f10(f12(c39,f7(c33,c34)),c35),c41),
file(unknown,unknown) ).
tff(c_2,plain,
! [X0_1] : p11(X0_1,X0_1),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_34,plain,
p3(c36,f7(c33,c34)),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_12,plain,
! [X57_6] : p3(X57_6,X57_6),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_187,plain,
! [X57_181,X59_182,X58_183] :
( ~ p3(X57_181,X59_182)
| ~ p3(X57_181,X58_183)
| p3(X58_183,X59_182) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_201,plain,
! [X57_187,X58_188] :
( ~ p3(X57_187,X58_188)
| p3(X58_188,X57_187) ),
inference(resolution,[status(thm)],[c_12,c_187]) ).
tff(c_208,plain,
p3(f7(c33,c34),c36),
inference(resolution,[status(thm)],[c_34,c_201]) ).
tff(c_40,plain,
p4(f5(c32,f7(c33,c34)),c35),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_10,plain,
! [X81_5] : p4(X81_5,X81_5),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_432,plain,
! [X81_217,X83_218,X82_219] :
( ~ p4(X81_217,X83_218)
| ~ p4(X81_217,X82_219)
| p4(X82_219,X83_218) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_446,plain,
! [X81_223,X82_224] :
( ~ p4(X81_223,X82_224)
| p4(X82_224,X81_223) ),
inference(resolution,[status(thm)],[c_10,c_432]) ).
tff(c_453,plain,
p4(c35,f5(c32,f7(c33,c34))),
inference(resolution,[status(thm)],[c_40,c_446]) ).
tff(c_54,plain,
! [X81_31,X83_30,X82_29] :
( ~ p4(X81_31,X83_30)
| ~ p4(X81_31,X82_29)
| p4(X82_29,X83_30) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_475,plain,
! [X82_29] :
( ~ p4(c35,X82_29)
| p4(X82_29,f5(c32,f7(c33,c34))) ),
inference(resolution,[status(thm)],[c_453,c_54]) ).
tff(c_38,plain,
p4(f5(c32,c36),c37),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_454,plain,
p4(c37,f5(c32,c36)),
inference(resolution,[status(thm)],[c_38,c_446]) ).
tff(c_463,plain,
! [X82_29] :
( ~ p4(c37,X82_29)
| p4(X82_29,f5(c32,c36)) ),
inference(resolution,[status(thm)],[c_454,c_54]) ).
tff(c_531,plain,
! [X82_240] :
( ~ p4(f5(c32,f7(c33,c34)),X82_240)
| p4(X82_240,c35) ),
inference(resolution,[status(thm)],[c_40,c_432]) ).
tff(c_543,plain,
( p4(f5(c32,c36),c35)
| ~ p4(c37,f5(c32,f7(c33,c34))) ),
inference(resolution,[status(thm)],[c_463,c_531]) ).
tff(c_946,plain,
~ p4(c37,f5(c32,f7(c33,c34))),
inference(splitLeft,[status(thm)],[c_543]) ).
tff(c_950,plain,
~ p4(c35,c37),
inference(resolution,[status(thm)],[c_475,c_946]) ).
tff(c_548,plain,
! [X82_241] :
( ~ p4(c35,X82_241)
| p4(X82_241,f5(c32,f7(c33,c34))) ),
inference(resolution,[status(thm)],[c_453,c_54]) ).
tff(c_440,plain,
! [X82_219] :
( ~ p4(f5(c32,c36),X82_219)
| p4(X82_219,c37) ),
inference(resolution,[status(thm)],[c_38,c_432]) ).
tff(c_564,plain,
( p4(f5(c32,f7(c33,c34)),c37)
| ~ p4(c35,f5(c32,c36)) ),
inference(resolution,[status(thm)],[c_548,c_440]) ).
tff(c_951,plain,
~ p4(c35,f5(c32,c36)),
inference(splitLeft,[status(thm)],[c_564]) ).
tff(c_979,plain,
~ p4(c37,c35),
inference(resolution,[status(thm)],[c_463,c_951]) ).
tff(c_24,plain,
! [X27_12] : p2(X27_12,X27_12),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_952,plain,
! [X85_282,X87_283,X84_284,X86_285] :
( ~ p3(X85_282,X87_283)
| ~ p2(X84_284,X86_285)
| p4(f5(X84_284,X85_282),f5(X86_285,X87_283)) ),
inference(cnfTransformation,[status(thm)],[f_290]) ).
tff(c_980,plain,
! [X86_286,X87_287] :
( p4(f5(X86_286,X87_287),c37)
| ~ p3(c36,X87_287)
| ~ p2(c32,X86_286) ),
inference(resolution,[status(thm)],[c_952,c_440]) ).
tff(c_439,plain,
! [X82_219] :
( ~ p4(f5(c32,f7(c33,c34)),X82_219)
| p4(X82_219,c35) ),
inference(resolution,[status(thm)],[c_40,c_432]) ).
tff(c_989,plain,
( p4(c37,c35)
| ~ p3(c36,f7(c33,c34))
| ~ p2(c32,c32) ),
inference(resolution,[status(thm)],[c_980,c_439]) ).
tff(c_1005,plain,
p4(c37,c35),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_34,c_989]) ).
tff(c_1007,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_979,c_1005]) ).
tff(c_1009,plain,
p4(c35,f5(c32,c36)),
inference(splitRight,[status(thm)],[c_564]) ).
tff(c_441,plain,
! [X81_5,X82_219] :
( ~ p4(X81_5,X82_219)
| p4(X82_219,X81_5) ),
inference(resolution,[status(thm)],[c_10,c_432]) ).
tff(c_1042,plain,
p4(f5(c32,c36),c35),
inference(resolution,[status(thm)],[c_1009,c_441]) ).
tff(c_1050,plain,
p4(c35,c37),
inference(resolution,[status(thm)],[c_1042,c_440]) ).
tff(c_1062,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_950,c_1050]) ).
tff(c_1063,plain,
p4(f5(c32,c36),c35),
inference(splitRight,[status(thm)],[c_543]) ).
tff(c_1080,plain,
p4(c35,c37),
inference(resolution,[status(thm)],[c_1063,c_440]) ).
tff(c_1091,plain,
p4(c37,c35),
inference(resolution,[status(thm)],[c_1080,c_441]) ).
tff(c_1637,plain,
! [X95_323,X97_324,X94_325,X96_326] :
( ~ p3(X95_323,X97_324)
| ~ p11(X94_325,X96_326)
| p8(f12(X94_325,X95_323),f12(X96_326,X97_324)) ),
inference(cnfTransformation,[status(thm)],[f_298]) ).
tff(c_6,plain,
! [X91_3] : p8(X91_3,X91_3),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_169,plain,
! [X91_171,X93_172,X92_173] :
( ~ p8(X91_171,X93_172)
| ~ p8(X91_171,X92_173)
| p8(X92_173,X93_172) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_172,plain,
! [X91_3,X92_173] :
( ~ p8(X91_3,X92_173)
| p8(X92_173,X91_3) ),
inference(resolution,[status(thm)],[c_6,c_169]) ).
tff(c_1642,plain,
! [X96_326,X97_324,X94_325,X95_323] :
( p8(f12(X96_326,X97_324),f12(X94_325,X95_323))
| ~ p3(X95_323,X97_324)
| ~ p11(X94_325,X96_326) ),
inference(resolution,[status(thm)],[c_1637,c_172]) ).
tff(c_82,plain,
! [X105_73,X107_75,X106_74,X108_76] :
( ~ p8(X105_73,X107_75)
| ~ p4(X106_74,X108_76)
| p9(f10(X105_73,X106_74),f10(X107_75,X108_76)) ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_42,plain,
p30(f10(f12(c39,c36),c37),c41),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_716,plain,
! [X70_256,X71_257,X68_258,X69_259] :
( ~ p30(X70_256,X71_257)
| ~ p9(X70_256,X68_258)
| ~ p4(X71_257,X69_259)
| p30(X68_258,X69_259) ),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_2476,plain,
! [X68_374,X69_375] :
( ~ p9(f10(f12(c39,c36),c37),X68_374)
| ~ p4(c41,X69_375)
| p30(X68_374,X69_375) ),
inference(resolution,[status(thm)],[c_42,c_716]) ).
tff(c_8511,plain,
! [X69_639,X107_640,X108_641] :
( ~ p4(c41,X69_639)
| p30(f10(X107_640,X108_641),X69_639)
| ~ p8(f12(c39,c36),X107_640)
| ~ p4(c37,X108_641) ),
inference(resolution,[status(thm)],[c_82,c_2476]) ).
tff(c_54324,plain,
! [X69_1660,X94_1661,X95_1662,X108_1663] :
( ~ p4(c41,X69_1660)
| p30(f10(f12(X94_1661,X95_1662),X108_1663),X69_1660)
| ~ p4(c37,X108_1663)
| ~ p3(X95_1662,c36)
| ~ p11(X94_1661,c39) ),
inference(resolution,[status(thm)],[c_1642,c_8511]) ).
tff(c_44,plain,
~ p30(f10(f12(c39,f7(c33,c34)),c35),c41),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_54332,plain,
( ~ p4(c41,c41)
| ~ p4(c37,c35)
| ~ p3(f7(c33,c34),c36)
| ~ p11(c39,c39) ),
inference(resolution,[status(thm)],[c_54324,c_44]) ).
tff(c_54340,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_208,c_1091,c_10,c_54332]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN686-1 : 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
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 17:27:42 EDT 2023
% 0.14/0.36 % CPUTime :
% 17.98/7.95 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.98/7.96
% 17.98/7.96 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 17.98/8.00
% 17.98/8.00 Inference rules
% 17.98/8.00 ----------------------
% 17.98/8.00 #Ref : 0
% 17.98/8.00 #Sup : 11743
% 17.98/8.00 #Fact : 0
% 17.98/8.00 #Define : 0
% 17.98/8.00 #Split : 13
% 17.98/8.00 #Chain : 0
% 17.98/8.00 #Close : 0
% 17.98/8.00
% 17.98/8.00 Ordering : KBO
% 17.98/8.00
% 17.98/8.00 Simplification rules
% 17.98/8.00 ----------------------
% 17.98/8.00 #Subsume : 5191
% 17.98/8.00 #Demod : 7347
% 17.98/8.00 #Tautology : 2162
% 17.98/8.00 #SimpNegUnit : 2
% 17.98/8.00 #BackRed : 0
% 17.98/8.00
% 17.98/8.00 #Partial instantiations: 0
% 17.98/8.00 #Strategies tried : 1
% 17.98/8.00
% 17.98/8.00 Timing (in seconds)
% 17.98/8.00 ----------------------
% 17.98/8.00 Preprocessing : 0.55
% 17.98/8.00 Parsing : 0.31
% 17.98/8.00 CNF conversion : 0.04
% 17.98/8.00 Main loop : 6.29
% 17.98/8.01 Inferencing : 1.35
% 17.98/8.01 Reduction : 1.81
% 17.98/8.01 Demodulation : 1.29
% 17.98/8.01 BG Simplification : 0.07
% 17.98/8.01 Subsumption : 2.66
% 17.98/8.01 Abstraction : 0.11
% 17.98/8.01 MUC search : 0.00
% 17.98/8.01 Cooper : 0.00
% 17.98/8.01 Total : 6.90
% 17.98/8.01 Index Insertion : 0.00
% 17.98/8.01 Index Deletion : 0.00
% 17.98/8.01 Index Matching : 0.00
% 17.98/8.01 BG Taut test : 0.00
%------------------------------------------------------------------------------