TSTP Solution File: SYN633-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN633-1 : 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 : n015.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 11:11:28 EDT 2023
% Result : Unsatisfiable 12.64s 4.37s
% Output : CNFRefutation 12.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 39
% Syntax : Number of formulae : 63 ( 14 unt; 31 typ; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 23 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 42 ( 21 >; 21 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 10 con; 0-3 aty)
% Number of variables : 68 (; 68 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p5 > p3 > p22 > p21 > p2 > p14 > p10 > f20 > f19 > f18 > f17 > f11 > f7 > f6 > f13 > #nlpp > f8 > f4 > f16 > f15 > f12 > c32 > c31 > c30 > c29 > c28 > c27 > c26 > c25 > c24 > c23
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f12,type,
f12: $i > $i ).
tff(f20,type,
f20: ( $i * $i * $i ) > $i ).
tff(p22,type,
p22: ( $i * $i ) > $o ).
tff(f18,type,
f18: ( $i * $i * $i ) > $i ).
tff(f13,type,
f13: ( $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(f19,type,
f19: ( $i * $i * $i ) > $i ).
tff(c26,type,
c26: $i ).
tff(p21,type,
p21: ( $i * $i ) > $o ).
tff(c23,type,
c23: $i ).
tff(c32,type,
c32: $i ).
tff(f11,type,
f11: ( $i * $i * $i ) > $i ).
tff(c27,type,
c27: $i ).
tff(f7,type,
f7: ( $i * $i ) > $i ).
tff(p5,type,
p5: ( $i * $i ) > $o ).
tff(f16,type,
f16: $i > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(f17,type,
f17: ( $i * $i * $i ) > $i ).
tff(c25,type,
c25: $i ).
tff(c29,type,
c29: $i ).
tff(p14,type,
p14: ( $i * $i ) > $o ).
tff(c30,type,
c30: $i ).
tff(f8,type,
f8: $i > $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f4,type,
f4: $i > $i ).
tff(c31,type,
c31: $i ).
tff(c28,type,
c28: $i ).
tff(p9,type,
p9: ( $i * $i ) > $o ).
tff(f6,type,
f6: ( $i * $i ) > $i ).
tff(c24,type,
c24: $i ).
tff(f15,type,
f15: $i > $i ).
tff(f_35,axiom,
~ p3(c23,f8(c24)),
file(unknown,unknown) ).
tff(f_158,axiom,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
file(unknown,unknown) ).
tff(f_229,axiom,
! [X9,X10,X11] :
( p3(f4(X9),f8(c24))
| p22(f17(X9,X10,X11),f16(X9))
| p10(f11(X9,c27,X10),f11(X9,c27,X11)) ),
file(unknown,unknown) ).
tff(f_163,axiom,
! [X70] :
( p21(f12(f13(c28,c29)),f12(f13(c28,X70)))
| ~ p22(X70,f16(f6(c25,f7(c23,c26)))) ),
file(unknown,unknown) ).
tff(f_261,axiom,
! [X9,X10,X11] :
( p3(f4(X9),f8(c24))
| p10(f11(X9,c27,X10),f11(X9,c27,X11))
| ~ p21(f12(f13(X10,X11)),f12(f13(X10,f17(X9,X10,X11)))) ),
file(unknown,unknown) ).
tff(f_37,axiom,
! [X80,X81,X82] : p3(f4(f6(X80,f7(X81,X82))),X81),
file(unknown,unknown) ).
tff(f_29,axiom,
! [X75] : p3(X75,X75),
file(unknown,unknown) ).
tff(f_94,axiom,
! [X76,X77,X75] :
( p3(X76,X77)
| ~ p3(X75,X76)
| ~ p3(X75,X77) ),
file(unknown,unknown) ).
tff(c_14,plain,
~ p3(c23,f8(c24)),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_50,plain,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_66,plain,
! [X9_90,X10_91,X11_92] :
( p10(f11(X9_90,c27,X10_91),f11(X9_90,c27,X11_92))
| p22(f17(X9_90,X10_91,X11_92),f16(X9_90))
| p3(f4(X9_90),f8(c24)) ),
inference(cnfTransformation,[status(thm)],[f_229]) ).
tff(c_52,plain,
! [X70_58] :
( ~ p22(X70_58,f16(f6(c25,f7(c23,c26))))
| p21(f12(f13(c28,c29)),f12(f13(c28,X70_58))) ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_1964,plain,
! [X10_445,X11_446,X9_447] :
( ~ p21(f12(f13(X10_445,X11_446)),f12(f13(X10_445,f17(X9_447,X10_445,X11_446))))
| p10(f11(X9_447,c27,X10_445),f11(X9_447,c27,X11_446))
| p3(f4(X9_447),f8(c24)) ),
inference(cnfTransformation,[status(thm)],[f_261]) ).
tff(c_12050,plain,
! [X9_1154] :
( p10(f11(X9_1154,c27,c28),f11(X9_1154,c27,c29))
| p3(f4(X9_1154),f8(c24))
| ~ p22(f17(X9_1154,c28,c29),f16(f6(c25,f7(c23,c26)))) ),
inference(resolution,[status(thm)],[c_52,c_1964]) ).
tff(c_12053,plain,
( p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))
| p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
inference(resolution,[status(thm)],[c_66,c_12050]) ).
tff(c_12056,plain,
p3(f4(f6(c25,f7(c23,c26))),f8(c24)),
inference(negUnitSimplification,[status(thm)],[c_50,c_50,c_12053]) ).
tff(c_16,plain,
! [X80_7,X81_8,X82_9] : p3(f4(f6(X80_7,f7(X81_8,X82_9))),X81_8),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_8,plain,
! [X75_4] : p3(X75_4,X75_4),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_126,plain,
! [X75_148,X77_149,X76_150] :
( ~ p3(X75_148,X77_149)
| ~ p3(X75_148,X76_150)
| p3(X76_150,X77_149) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_139,plain,
! [X75_151,X76_152] :
( ~ p3(X75_151,X76_152)
| p3(X76_152,X75_151) ),
inference(resolution,[status(thm)],[c_8,c_126]) ).
tff(c_150,plain,
! [X81_8,X80_7,X82_9] : p3(X81_8,f4(f6(X80_7,f7(X81_8,X82_9)))),
inference(resolution,[status(thm)],[c_16,c_139]) ).
tff(c_310,plain,
! [X80_206,X81_207,X82_208,X76_209] :
( ~ p3(f4(f6(X80_206,f7(X81_207,X82_208))),X76_209)
| p3(X76_209,X81_207) ),
inference(resolution,[status(thm)],[c_16,c_126]) ).
tff(c_330,plain,
! [X80_7,X82_9,X82_208,X80_206,X81_207] : p3(f4(f6(X80_7,f7(f4(f6(X80_206,f7(X81_207,X82_208))),X82_9))),X81_207),
inference(resolution,[status(thm)],[c_150,c_310]) ).
tff(c_174,plain,
! [X81_159,X80_160,X82_161] : p3(X81_159,f4(f6(X80_160,f7(X81_159,X82_161)))),
inference(resolution,[status(thm)],[c_16,c_139]) ).
tff(c_34,plain,
! [X75_31,X77_30,X76_29] :
( ~ p3(X75_31,X77_30)
| ~ p3(X75_31,X76_29)
| p3(X76_29,X77_30) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_575,plain,
! [X81_276,X76_277,X80_278,X82_279] :
( ~ p3(X81_276,X76_277)
| p3(X76_277,f4(f6(X80_278,f7(X81_276,X82_279)))) ),
inference(resolution,[status(thm)],[c_174,c_34]) ).
tff(c_138,plain,
! [X75_4,X76_150] :
( ~ p3(X75_4,X76_150)
| p3(X76_150,X75_4) ),
inference(resolution,[status(thm)],[c_8,c_126]) ).
tff(c_778,plain,
! [X80_320,X81_321,X82_322,X76_323] :
( p3(f4(f6(X80_320,f7(X81_321,X82_322))),X76_323)
| ~ p3(X81_321,X76_323) ),
inference(resolution,[status(thm)],[c_575,c_138]) ).
tff(c_4607,plain,
! [X82_709,X76_710,X81_711,X76_712,X80_713] :
( ~ p3(f4(f6(X80_713,f7(X81_711,X82_709))),X76_712)
| p3(X76_712,X76_710)
| ~ p3(X81_711,X76_710) ),
inference(resolution,[status(thm)],[c_778,c_34]) ).
tff(c_4661,plain,
! [X81_207,X76_710,X80_206,X82_208] :
( p3(X81_207,X76_710)
| ~ p3(f4(f6(X80_206,f7(X81_207,X82_208))),X76_710) ),
inference(resolution,[status(thm)],[c_330,c_4607]) ).
tff(c_12099,plain,
p3(c23,f8(c24)),
inference(resolution,[status(thm)],[c_12056,c_4661]) ).
tff(c_12184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_12099]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN633-1 : 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
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 17:52:14 EDT 2023
% 0.14/0.35 % CPUTime :
% 12.64/4.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.64/4.37
% 12.64/4.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.77/4.40
% 12.77/4.40 Inference rules
% 12.77/4.40 ----------------------
% 12.77/4.40 #Ref : 0
% 12.77/4.40 #Sup : 3612
% 12.77/4.40 #Fact : 0
% 12.77/4.40 #Define : 0
% 12.77/4.40 #Split : 0
% 12.77/4.40 #Chain : 0
% 12.77/4.40 #Close : 0
% 12.77/4.40
% 12.77/4.40 Ordering : KBO
% 12.77/4.40
% 12.77/4.40 Simplification rules
% 12.77/4.40 ----------------------
% 12.77/4.40 #Subsume : 493
% 12.77/4.40 #Demod : 89
% 12.77/4.40 #Tautology : 89
% 12.77/4.40 #SimpNegUnit : 2
% 12.77/4.40 #BackRed : 0
% 12.77/4.40
% 12.77/4.40 #Partial instantiations: 0
% 12.77/4.40 #Strategies tried : 1
% 12.77/4.40
% 12.77/4.40 Timing (in seconds)
% 12.77/4.40 ----------------------
% 12.77/4.41 Preprocessing : 0.58
% 12.77/4.41 Parsing : 0.33
% 12.77/4.41 CNF conversion : 0.04
% 12.77/4.41 Main loop : 2.77
% 12.77/4.41 Inferencing : 0.69
% 12.77/4.41 Reduction : 0.55
% 12.77/4.41 Demodulation : 0.37
% 12.77/4.41 BG Simplification : 0.07
% 12.77/4.41 Subsumption : 1.26
% 12.77/4.41 Abstraction : 0.06
% 12.77/4.41 MUC search : 0.00
% 12.77/4.41 Cooper : 0.00
% 12.77/4.41 Total : 3.40
% 12.77/4.41 Index Insertion : 0.00
% 12.77/4.41 Index Deletion : 0.00
% 12.77/4.41 Index Matching : 0.00
% 12.77/4.41 BG Taut test : 0.00
%------------------------------------------------------------------------------