TSTP Solution File: SYN672-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN672-1 : 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 : n004.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 11:11:35 EDT 2023
% Result : Unsatisfiable 63.53s 48.85s
% Output : CNFRefutation 63.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 51
% Syntax : Number of formulae : 70 ( 15 unt; 41 typ; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 60 ( 32 ~; 28 |; 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 : 20 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-2 aty)
% Number of variables : 47 (; 47 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p8 > p6 > p5 > p31 > p30 > p3 > p28 > p26 > p24 > p22 > p21 > p2 > p19 > p18 > p16 > p15 > p13 > p11 > f7 > f4 > f29 > f27 > f25 > f23 > f20 > f17 > f14 > f12 > f10 > #nlpp > c42 > c41 > c40 > c39 > c38 > c37 > c36 > c35 > c34 > c33 > c32
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p15,type,
p15: ( $i * $i ) > $o ).
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(f14,type,
f14: ( $i * $i ) > $i ).
tff(c34,type,
c34: $i ).
tff(p21,type,
p21: ( $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(p5,type,
p5: ( $i * $i ) > $o ).
tff(c39,type,
c39: $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(p19,type,
p19: ( $i * $i ) > $o ).
tff(p24,type,
p24: ( $i * $i ) > $o ).
tff(f4,type,
f4: ( $i * $i ) > $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(p28,type,
p28: ( $i * $i ) > $o ).
tff(f29,type,
f29: ( $i * $i ) > $i ).
tff(p26,type,
p26: ( $i * $i ) > $o ).
tff(p9,type,
p9: ( $i * $i ) > $o ).
tff(c33,type,
c33: $i ).
tff(p18,type,
p18: ( $i * $i ) > $o ).
tff(f20,type,
f20: ( $i * $i ) > $i ).
tff(f25,type,
f25: ( $i * $i ) > $i ).
tff(f_57,axiom,
~ p3(c40,f14(c38,c39)),
file(unknown,unknown) ).
tff(f_58,axiom,
p31(f20(c36,c39),f17(c37,c40)),
file(unknown,unknown) ).
tff(f_317,axiom,
! [X60,X61] :
( p3(X60,f14(c38,X61))
| p30(f10(f12(c32,c33),f14(c38,X61)),X60)
| ~ p31(f20(c36,X61),f17(c37,X60)) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X98] : p8(X98,X98),
file(unknown,unknown) ).
tff(f_196,axiom,
! [X77,X78] : p3(f4(f7(c34,X77),f14(c38,X78)),f14(X77,X78)),
file(unknown,unknown) ).
tff(f_322,axiom,
! [X86,X87] :
( p30(f10(f12(c32,c33),f4(f7(c34,c35),X86)),f4(f7(c34,c35),X87))
| ~ p30(f10(f12(c32,c33),X86),X87) ),
file(unknown,unknown) ).
tff(f_236,axiom,
! [X108,X109,X110,X111] :
( p9(f10(X108,X109),f10(X110,X111))
| ~ p3(X109,X111)
| ~ p8(X108,X110) ),
file(unknown,unknown) ).
tff(f_33,axiom,
! [X62] : p3(X62,X62),
file(unknown,unknown) ).
tff(f_218,axiom,
! [X82,X83,X85,X84] :
( p30(X82,X83)
| ~ p30(X85,X84)
| ~ p9(X85,X82)
| ~ p3(X84,X83) ),
file(unknown,unknown) ).
tff(f_220,axiom,
~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
file(unknown,unknown) ).
tff(c_36,plain,
~ p3(c40,f14(c38,c39)),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_38,plain,
p31(f20(c36,c39),f17(c37,c40)),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_106,plain,
! [X61_127,X60_126] :
( ~ p31(f20(c36,X61_127),f17(c37,X60_126))
| p30(f10(f12(c32,c33),f14(c38,X61_127)),X60_126)
| p3(X60_126,f14(c38,X61_127)) ),
inference(cnfTransformation,[status(thm)],[f_317]) ).
tff(c_6,plain,
! [X98_3] : p8(X98_3,X98_3),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_74,plain,
! [X77_69,X78_70] : p3(f4(f7(c34,X77_69),f14(c38,X78_70)),f14(X77_69,X78_70)),
inference(cnfTransformation,[status(thm)],[f_196]) ).
tff(c_108,plain,
! [X86_128,X87_129] :
( ~ p30(f10(f12(c32,c33),X86_128),X87_129)
| p30(f10(f12(c32,c33),f4(f7(c34,c35),X86_128)),f4(f7(c34,c35),X87_129)) ),
inference(cnfTransformation,[status(thm)],[f_322]) ).
tff(c_334,plain,
! [X108_259,X110_260,X109_261,X111_262] :
( ~ p8(X108_259,X110_260)
| ~ p3(X109_261,X111_262)
| p9(f10(X108_259,X109_261),f10(X110_260,X111_262)) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_12,plain,
! [X62_6] : p3(X62_6,X62_6),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_294,plain,
! [X84_236,X83_237,X85_238,X82_239] :
( ~ p3(X84_236,X83_237)
| ~ p9(X85_238,X82_239)
| ~ p30(X85_238,X84_236)
| p30(X82_239,X83_237) ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_303,plain,
! [X85_238,X82_239,X62_6] :
( ~ p9(X85_238,X82_239)
| ~ p30(X85_238,X62_6)
| p30(X82_239,X62_6) ),
inference(resolution,[status(thm)],[c_12,c_294]) ).
tff(c_722,plain,
! [X110_413,X108_414,X62_415,X111_416,X109_412] :
( ~ p30(f10(X108_414,X109_412),X62_415)
| p30(f10(X110_413,X111_416),X62_415)
| ~ p8(X108_414,X110_413)
| ~ p3(X109_412,X111_416) ),
inference(resolution,[status(thm)],[c_334,c_303]) ).
tff(c_16993,plain,
! [X110_2881,X111_2882,X87_2883,X86_2884] :
( p30(f10(X110_2881,X111_2882),f4(f7(c34,c35),X87_2883))
| ~ p8(f12(c32,c33),X110_2881)
| ~ p3(f4(f7(c34,c35),X86_2884),X111_2882)
| ~ p30(f10(f12(c32,c33),X86_2884),X87_2883) ),
inference(resolution,[status(thm)],[c_108,c_722]) ).
tff(c_135790,plain,
! [X110_7878,X78_7879,X87_7880] :
( p30(f10(X110_7878,f14(c35,X78_7879)),f4(f7(c34,c35),X87_7880))
| ~ p8(f12(c32,c33),X110_7878)
| ~ p30(f10(f12(c32,c33),f14(c38,X78_7879)),X87_7880) ),
inference(resolution,[status(thm)],[c_74,c_16993]) ).
tff(c_80,plain,
~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_135875,plain,
( ~ p8(f12(c32,c33),f12(c32,c33))
| ~ p30(f10(f12(c32,c33),f14(c38,c39)),c40) ),
inference(resolution,[status(thm)],[c_135790,c_80]) ).
tff(c_135912,plain,
~ p30(f10(f12(c32,c33),f14(c38,c39)),c40),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_135875]) ).
tff(c_135915,plain,
( ~ p31(f20(c36,c39),f17(c37,c40))
| p3(c40,f14(c38,c39)) ),
inference(resolution,[status(thm)],[c_106,c_135912]) ).
tff(c_135918,plain,
p3(c40,f14(c38,c39)),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_135915]) ).
tff(c_135920,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36,c_135918]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN672-1 : 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 : n004.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 17:17:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 63.53/48.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 63.53/48.85
% 63.53/48.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 63.53/48.89
% 63.53/48.89 Inference rules
% 63.53/48.89 ----------------------
% 63.53/48.89 #Ref : 0
% 63.53/48.89 #Sup : 38442
% 63.53/48.89 #Fact : 0
% 63.53/48.89 #Define : 0
% 63.53/48.89 #Split : 8
% 63.53/48.89 #Chain : 0
% 63.53/48.89 #Close : 0
% 63.53/48.89
% 63.53/48.89 Ordering : KBO
% 63.53/48.89
% 63.53/48.89 Simplification rules
% 63.53/48.89 ----------------------
% 63.53/48.89 #Subsume : 6297
% 63.53/48.89 #Demod : 3363
% 63.53/48.89 #Tautology : 206
% 63.53/48.89 #SimpNegUnit : 1
% 63.53/48.89 #BackRed : 0
% 63.53/48.89
% 63.53/48.89 #Partial instantiations: 0
% 63.53/48.89 #Strategies tried : 1
% 63.53/48.89
% 63.53/48.89 Timing (in seconds)
% 63.53/48.89 ----------------------
% 63.53/48.89 Preprocessing : 0.55
% 63.53/48.89 Parsing : 0.31
% 63.53/48.89 CNF conversion : 0.04
% 63.53/48.89 Main loop : 47.28
% 63.53/48.89 Inferencing : 3.97
% 63.53/48.89 Reduction : 6.74
% 63.53/48.89 Demodulation : 4.49
% 63.53/48.89 BG Simplification : 0.28
% 63.53/48.89 Subsumption : 32.95
% 63.53/48.89 Abstraction : 0.38
% 63.53/48.89 MUC search : 0.00
% 63.53/48.89 Cooper : 0.00
% 63.53/48.89 Total : 47.88
% 63.53/48.89 Index Insertion : 0.00
% 63.53/48.89 Index Deletion : 0.00
% 63.53/48.89 Index Matching : 0.00
% 63.53/48.89 BG Taut test : 0.00
%------------------------------------------------------------------------------